
Time bar (total: 11.4s)
| 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)
| 934.0ms | 3 951× | 1 | valid |
| 421.0ms | 4 305× | 0 | valid |
ival-div: 306.0ms (33.5% of total)ival-sin: 242.0ms (26.5% of total)ival-tan: 211.0ms (23.1% of total)ival-mult: 82.0ms (9% of total)adjust: 56.0ms (6.1% of total)ival-true: 7.0ms (0.8% of total)exact: 5.0ms (0.5% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 128 | 0 | - | 0 | - | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| 128 | 0 | - | 1 | (6.794881544270677e+43 1.4897368138161384e+41) | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| 31 | 0 | - | 0 | - | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 2 | 0 | - | 0 | - | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 y #s(literal 2 binary64)) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
tan.f64 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | sensitivity | 103 | 0 |
sin.f64 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | sensitivity | 102 | 1 |
/.f64 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | u/u | 31 | 0 |
| ↳ | (/.f64 x (*.f64 y #s(literal 2 binary64))) | underflow | 31 | |
| ↳ | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | underflow | 31 | |
| ↳ | (/.f64 x (*.f64 y #s(literal 2 binary64))) | underflow | 31 | |
| ↳ | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | underflow | 31 | |
sin.f64 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | oflow-rescue | 25 | 0 |
| ↳ | (/.f64 x (*.f64 y #s(literal 2 binary64))) | overflow | 25 | |
| ↳ | (*.f64 y #s(literal 2 binary64)) | overflow | 2 | |
tan.f64 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | oflow-rescue | 25 | 0 |
| ↳ | (/.f64 x (*.f64 y #s(literal 2 binary64))) | overflow | 25 | |
| ↳ | (*.f64 y #s(literal 2 binary64)) | overflow | 2 | |
/.f64 | (/.f64 x (*.f64 y #s(literal 2 binary64))) | n/o | 2 | 0 |
| ↳ | (*.f64 y #s(literal 2 binary64)) | overflow | 2 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 160 | 0 |
| - | 1 | 95 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 160 | 0 | 0 |
| - | 1 | 0 | 95 |
| number | freq |
|---|---|
| 0 | 95 |
| 1 | 34 |
| 2 | 127 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 43.0ms | 242× | 1 | valid |
| 18.0ms | 270× | 0 | valid |
Compiled 89 to 28 computations (68.5% saved)
ival-sin: 14.0ms (32.6% of total)ival-tan: 11.0ms (25.6% of total)ival-div: 10.0ms (23.3% of total)ival-mult: 4.0ms (9.3% of total)adjust: 3.0ms (7% of total)ival-true: 1.0ms (2.3% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 75 |
| 1 | 52 | 67 |
| 2 | 106 | 65 |
| 3 | 177 | 65 |
| 4 | 260 | 65 |
| 5 | 433 | 65 |
| 6 | 544 | 65 |
| 7 | 584 | 65 |
| 8 | 603 | 65 |
| 9 | 616 | 65 |
| 0 | 8 | 13 |
| 0 | 13 | 13 |
| 1 | 16 | 13 |
| 2 | 18 | 13 |
| 0 | 18 | 13 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| Outputs |
|---|
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(abs y)
(abs x)
Compiled 13 to 8 computations (38.5% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 43.4% | (/.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 | 0.4818408155215776 | (/.f64 x (*.f64 y #s(literal 2 binary64))) | |
| accuracy | 7.668054032575585 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| accuracy | 27.76452759789793 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 28.378822204722667 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| 94.0ms | 135× | 0 | valid |
| 21.0ms | 121× | 1 | valid |
Compiled 38 to 10 computations (73.7% saved)
ival-sin: 6.0ms (29.7% of total)ival-tan: 6.0ms (29.7% of total)ival-div: 5.0ms (24.8% of total)ival-mult: 2.0ms (9.9% of total)adjust: 1.0ms (5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ()) |
#s(alt (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 x (*.f64 y #s(literal 2 binary64))) (patch (/.f64 x (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 y #s(literal 2 binary64))) (patch (/.f64 x (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 y #s(literal 2 binary64))) (patch (/.f64 x (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 y #s(literal 2 binary64))) (patch (/.f64 x (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 y #s(literal 2 binary64))) (patch (/.f64 x (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (sin (* 1/2 (/ x y))) (taylor 0 y) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (sin (* 1/2 (/ x y))) (taylor 0 y) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (sin (* 1/2 (/ x y))) (taylor 0 y) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (sin (* 1/2 (/ x y))) (taylor 0 y) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf y) (#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 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)))))) (taylor inf y) (#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 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))))))))) (taylor inf y) (#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor inf y) (#s(alt (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y) (taylor inf y) (#s(alt (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -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) (taylor inf y) (#s(alt (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -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) (taylor inf y) (#s(alt (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor inf y) (#s(alt (/.f64 x (*.f64 y #s(literal 2 binary64))) (patch (/.f64 x (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor inf y) (#s(alt (/.f64 x (*.f64 y #s(literal 2 binary64))) (patch (/.f64 x (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor inf y) (#s(alt (/.f64 x (*.f64 y #s(literal 2 binary64))) (patch (/.f64 x (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor inf y) (#s(alt (/.f64 x (*.f64 y #s(literal 2 binary64))) (patch (/.f64 x (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 y #s(literal 2 binary64))) (patch (/.f64 x (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 y #s(literal 2 binary64))) (patch (/.f64 x (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 y #s(literal 2 binary64))) (patch (/.f64 x (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 y #s(literal 2 binary64))) (patch (/.f64 x (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 67.0ms | x | @ | inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (sin (/ x (* y 2)))) |
| 5.0ms | y | @ | inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (sin (/ x (* y 2)))) |
| 4.0ms | x | @ | 0 | ((/ (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 | 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 | 2054 |
| 1 | 950 | 2028 |
| 2 | 3392 | 1926 |
| 0 | 9111 | 1817 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
1 |
(- (+ 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))))))))) |
(* 1/2 (/ x y)) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/768 (/ (pow x 5) (pow y 4)))))) y) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5))))) (pow y 6))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (* 1/384 (/ (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 6))))))))) y) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 1/2 (/ x y)) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
1 |
(- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
(* 1/2 (/ x y)) |
(* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y)) |
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 1/2 (/ x y)) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(* 1/2 (/ x y)) |
(* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
| Outputs |
|---|
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.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))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.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))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(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 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
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(/.f64 (fma.f64 (/.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)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64))) x) x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64)))) #s(literal 61/46080 binary64) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) |
(* 1/2 (/ 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 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 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 (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)))) (pow.f64 x #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 (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)))) (pow.f64 x #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.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 (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)))) (pow.f64 x #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 (fma.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 7 binary64)))) #s(literal -1/645120 binary64) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 x x) (/.f64 #s(literal -1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 x #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))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.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))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.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))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.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))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
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 |
|---|
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Compiled 13 929 to 1 822 computations (86.9% saved)
59 alts after pruning (58 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 621 | 58 | 679 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 621 | 59 | 680 |
| Status | Accuracy | Program |
|---|---|---|
| 53.4% | (pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 55.3% | (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)) | |
| 41.4% | (/.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))) | |
| 41.4% | (/.f64 (/.f64 (pow.f64 (cos.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))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 43.3% | (/.f64 (/.f64 (-.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 (neg.f64 x) y))) (+.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (/.f64 (neg.f64 x) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 30.6% | (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))))) (*.f64 (neg.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 43.4% | (/.f64 (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 56.3% | (/.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)))) | |
| 40.5% | (/.f64 (*.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)) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| ▶ | 41.5% | (/.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))) |
| 40.9% | (/.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))))) | |
| 37.6% | (/.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))))) | |
| 42.8% | (/.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))))) | |
| 31.1% | (/.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))))) | |
| 21.2% | (/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 23.4% | (/.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))))) | |
| 12.2% | (/.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))))) | |
| ▶ | 21.9% | (/.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))))) |
| 20.5% | (/.f64 (tan.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 13.3% | (/.f64 (tan.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 42.9% | (/.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))))) | |
| 20.0% | (/.f64 (tan.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (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))))) | |
| 40.7% | (/.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)))) | |
| 37.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))) #s(literal -1 binary64)))) | |
| 43.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)))) | |
| 28.5% | (/.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))))) | |
| 23.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) y) y)))) | |
| 23.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (neg.f64 x))) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 2 binary64) y))))) | |
| 21.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x))) | |
| ▶ | 13.4% | (/.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)))) |
| 19.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))))) | |
| 27.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) y))))) | |
| ✓ | 43.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 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))))))) | |
| 41.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) | |
| 17.3% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))))) | |
| 42.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| 37.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))))) | |
| 31.8% | (/.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 x #s(literal 1/2 binary64))) y))) | |
| 37.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| 39.6% | (/.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))))) | |
| 41.1% | (/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.2% | (/.f64 (tan.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 42.5% | (/.f64 (tan.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 24.2% | (/.f64 (tan.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 42.7% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 37.9% | (/.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))))) | |
| 43.3% | (/.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))) | |
| 30.5% | (/.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) | |
| 23.4% | (/.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64))) (*.f64 (/.f64 (+.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 2 binary64)))) | |
| 31.3% | (/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/24 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y))) y)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 37.5% | (/.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))))) | |
| ▶ | 56.3% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
| 41.4% | (*.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)))) | |
| 42.2% | (*.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)))) | |
| 42.2% | (*.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))))) | |
| 47.3% | #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))) | |
| 56.1% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) | |
| ▶ | 55.3% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
Compiled 2 253 to 1 638 computations (27.3% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 192 | (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y)))) #s(literal 2 binary64)) | |
| cost-diff | 6400 | (sin.f64 #s(literal 0 binary64)) | |
| cost-diff | 6848 | (/.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))) | |
| 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 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y)))) | |
| cost-diff | 128 | (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) | |
| cost-diff | 7104 | (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y)) | |
| cost-diff | 0 | (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)) | |
| cost-diff | 0 | (/.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))))) | |
| cost-diff | 128 | (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) | |
| cost-diff | 1024 | (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x) | |
| cost-diff | 0 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) | |
| cost-diff | 0 | (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 286 |
| 0 | 79 | 277 |
| 1 | 126 | 259 |
| 2 | 263 | 229 |
| 3 | 852 | 229 |
| 4 | 2841 | 229 |
| 5 | 3610 | 229 |
| 6 | 7999 | 229 |
| 0 | 8327 | 229 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
#s(literal 1 binary64) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 x y)) |
#s(literal -1/2 binary64) |
(/.f64 x y) |
x |
y |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)) |
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x) |
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) |
(/.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
(neg.f64 (*.f64 x x)) |
(*.f64 x 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)) |
#s(literal 2 binary64) |
(/.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)))) |
(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 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y)) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) |
(neg.f64 (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal -1/2 binary64) |
(*.f64 (*.f64 x x) y) |
(*.f64 x x) |
(/.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))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y)))) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y)))) |
#s(literal 1 binary64) |
(+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) |
(sin.f64 #s(literal 0 binary64)) |
#s(literal 0 binary64) |
(sin.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(literal 2 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) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
#s(literal 1 binary64) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 x y)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) y) x) |
#s(literal -1/2 binary64) |
(/.f64 x y) |
x |
y |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)) (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 (/.f64 x y) #s(literal 2 binary64)))) |
(tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)) |
(tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x)) |
(/.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
(neg.f64 (*.f64 x x)) |
(*.f64 (neg.f64 x) x) |
(*.f64 x x) |
x |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(/.f64 (/.f64 x y) #s(literal 2 binary64)) |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
(/.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)))) |
(/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (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 x y) #s(literal 2 binary64))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(/.f64 (/.f64 x y) #s(literal 2 binary64)) |
x |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
y |
#s(literal 2 binary64) |
(sin.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(neg.f64 (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal -1/2 binary64) |
(*.f64 (*.f64 x x) y) |
(*.f64 x x) |
(/.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))) |
(*.f64 (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y)))) #s(literal 2 binary64)) |
(/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))) |
(/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y))) |
#s(literal 1 binary64) |
(+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) |
(sin.f64 (/.f64 x y)) |
(sin.f64 #s(literal 0 binary64)) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
(sin.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(literal 2 binary64) |
(pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)) |
(pow.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
(/.f64 (/.f64 x y) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal -1 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.4818408155215776 | (/.f64 x (*.f64 #s(literal 2 binary64) y)) | |
| accuracy | 8.908634047598152 | (/.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))) | |
| accuracy | 27.76452759789793 | (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) | |
| accuracy | 28.139622637840215 | (sin.f64 (/.f64 x y)) | |
| accuracy | 7.668054032575585 | (/.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)))) | |
| accuracy | 27.76452759789793 | (sin.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y))) | |
| accuracy | 28.378822204722667 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 36.985852455412676 | (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y)) | |
| accuracy | 8.666021646540246 | (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) | |
| accuracy | 14.960582485214792 | (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x) | |
| accuracy | 27.76452759789793 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 28.378822204722667 | (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)) | |
| accuracy | 28.607191603098673 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.00390625 | (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) | |
| accuracy | 0.11328125 | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) | |
| accuracy | 27.913525258057394 | (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
| 293.0ms | 121× | 1 | valid |
| 133.0ms | 135× | 0 | valid |
Compiled 286 to 43 computations (85% saved)
ival-cos: 124.0ms (32.5% of total)ival-div: 71.0ms (18.6% of total)adjust: 70.0ms (18.4% of total)ival-mult: 64.0ms (16.8% of total)ival-sin: 25.0ms (6.6% of total)ival-pow: 11.0ms (2.9% of total)ival-tan: 11.0ms (2.9% of total)ival-neg: 3.0ms (0.8% of total)ival-add: 2.0ms (0.5% of total)exact: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #<representation binary64>) () ()) |
#s(alt (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (patch (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (patch (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x) (patch (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (/.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))))) (patch (/.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))))) #<representation binary64>) () ()) |
#s(alt (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)) (patch (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y)) (patch (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (patch (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ()) |
#s(alt (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ()) |
#s(alt (sin.f64 #s(literal 0 binary64)) (patch (sin.f64 #s(literal 0 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y)))) #s(literal 2 binary64)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y)))) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) (patch (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #<representation binary64>) () ()) |
#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (sin.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y))) (patch (sin.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y))) #<representation binary64>) () ()) |
#s(alt (sin.f64 (/.f64 x y)) (patch (sin.f64 (/.f64 x y)) #<representation binary64>) () ()) |
#s(alt (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (patch (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ()) |
#s(alt (/.f64 x (*.f64 #s(literal 2 binary64) y)) (patch (/.f64 x (*.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ 1 (cos (* -1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* -1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* -1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* -1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (cos (* -1/2 (/ x y))) (taylor 0 y) (#s(alt (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (patch (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (cos (* -1/2 (/ x y))) (taylor 0 y) (#s(alt (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (patch (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (cos (* -1/2 (/ x y))) (taylor 0 y) (#s(alt (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (patch (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (cos (* -1/2 (/ x y))) (taylor 0 y) (#s(alt (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (patch (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ x y)) (taylor 0 y) (#s(alt (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (patch (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ x y)) (taylor 0 y) (#s(alt (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (patch (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ x y)) (taylor 0 y) (#s(alt (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (patch (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ x y)) (taylor 0 y) (#s(alt (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (patch (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x) (patch (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x) (patch (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x) (patch (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x) (patch (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (pow x 2) y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (pow x 2) y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (pow x 2) y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (pow x 2) y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) #<representation binary64>) () ())) ()) |
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#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y))) (patch (sin.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y))) #<representation binary64>) () ())) ()) |
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y))) (patch (sin.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y))) #<representation binary64>) () ())) ()) |
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y))) (patch (sin.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y))) #<representation binary64>) () ())) ()) |
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y))) (patch (sin.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y))) #<representation binary64>) () ())) ()) |
#s(alt (sin (/ x y)) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x y)) (patch (sin.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (sin (/ x y)) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x y)) (patch (sin.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (sin (/ x y)) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x y)) (patch (sin.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (sin (/ x y)) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x y)) (patch (sin.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (patch (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (patch (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (patch (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (patch (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 #s(literal 2 binary64) y)) (patch (/.f64 x (*.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 #s(literal 2 binary64) y)) (patch (/.f64 x (*.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 #s(literal 2 binary64) y)) (patch (/.f64 x (*.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 #s(literal 2 binary64) y)) (patch (/.f64 x (*.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 28.0ms | y | @ | inf | ((/ 1 (cos (* -1/2 (/ x y)))) (cos (* -1/2 (/ x y))) (* -1/2 (/ x y)) (/ x y) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (* (/ -1/2 y) (neg (* x x))) x) (* (/ -1/2 y) (neg (* x x))) (/ (tan (/ (* (/ -1/2 y) (neg (* x x))) x)) (sin (/ x (* y 2)))) (tan (/ (* (/ -1/2 y) (neg (* x x))) x)) (/ (* (neg (pow x 3)) -1/2) (* (* x x) y)) (* (neg (pow x 3)) -1/2) (/ (tan (/ x (* y 2))) (sin (/ (* (neg (pow x 3)) -1/2) (* (* x x) y)))) (tan (/ x (* y 2))) (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (sin 0) (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (+ (sin 0) (sin (/ x y))) (sin (/ x (* y 2))) (sin (/ (* (neg (pow x 3)) -1/2) (* (* x x) y))) (sin (/ x y)) (sin (/ x (* 2 y))) (/ x (* 2 y))) |
| 8.0ms | y | @ | -inf | ((/ 1 (cos (* -1/2 (/ x y)))) (cos (* -1/2 (/ x y))) (* -1/2 (/ x y)) (/ x y) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (* (/ -1/2 y) (neg (* x x))) x) (* (/ -1/2 y) (neg (* x x))) (/ (tan (/ (* (/ -1/2 y) (neg (* x x))) x)) (sin (/ x (* y 2)))) (tan (/ (* (/ -1/2 y) (neg (* x x))) x)) (/ (* (neg (pow x 3)) -1/2) (* (* x x) y)) (* (neg (pow x 3)) -1/2) (/ (tan (/ x (* y 2))) (sin (/ (* (neg (pow x 3)) -1/2) (* (* x x) y)))) (tan (/ x (* y 2))) (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (sin 0) (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (+ (sin 0) (sin (/ x y))) (sin (/ x (* y 2))) (sin (/ (* (neg (pow x 3)) -1/2) (* (* x x) y))) (sin (/ x y)) (sin (/ x (* 2 y))) (/ x (* 2 y))) |
| 4.0ms | x | @ | -inf | ((/ 1 (cos (* -1/2 (/ x y)))) (cos (* -1/2 (/ x y))) (* -1/2 (/ x y)) (/ x y) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (* (/ -1/2 y) (neg (* x x))) x) (* (/ -1/2 y) (neg (* x x))) (/ (tan (/ (* (/ -1/2 y) (neg (* x x))) x)) (sin (/ x (* y 2)))) (tan (/ (* (/ -1/2 y) (neg (* x x))) x)) (/ (* (neg (pow x 3)) -1/2) (* (* x x) y)) (* (neg (pow x 3)) -1/2) (/ (tan (/ x (* y 2))) (sin (/ (* (neg (pow x 3)) -1/2) (* (* x x) y)))) (tan (/ x (* y 2))) (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (sin 0) (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (+ (sin 0) (sin (/ x y))) (sin (/ x (* y 2))) (sin (/ (* (neg (pow x 3)) -1/2) (* (* x x) y))) (sin (/ x y)) (sin (/ x (* 2 y))) (/ x (* 2 y))) |
| 4.0ms | x | @ | inf | ((/ 1 (cos (* -1/2 (/ x y)))) (cos (* -1/2 (/ x y))) (* -1/2 (/ x y)) (/ x y) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (* (/ -1/2 y) (neg (* x x))) x) (* (/ -1/2 y) (neg (* x x))) (/ (tan (/ (* (/ -1/2 y) (neg (* x x))) x)) (sin (/ x (* y 2)))) (tan (/ (* (/ -1/2 y) (neg (* x x))) x)) (/ (* (neg (pow x 3)) -1/2) (* (* x x) y)) (* (neg (pow x 3)) -1/2) (/ (tan (/ x (* y 2))) (sin (/ (* (neg (pow x 3)) -1/2) (* (* x x) y)))) (tan (/ x (* y 2))) (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (sin 0) (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (+ (sin 0) (sin (/ x y))) (sin (/ x (* y 2))) (sin (/ (* (neg (pow x 3)) -1/2) (* (* x x) y))) (sin (/ x y)) (sin (/ x (* 2 y))) (/ x (* 2 y))) |
| 4.0ms | y | @ | 0 | ((/ 1 (cos (* -1/2 (/ x y)))) (cos (* -1/2 (/ x y))) (* -1/2 (/ x y)) (/ x y) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (* (/ -1/2 y) (neg (* x x))) x) (* (/ -1/2 y) (neg (* x x))) (/ (tan (/ (* (/ -1/2 y) (neg (* x x))) x)) (sin (/ x (* y 2)))) (tan (/ (* (/ -1/2 y) (neg (* x x))) x)) (/ (* (neg (pow x 3)) -1/2) (* (* x x) y)) (* (neg (pow x 3)) -1/2) (/ (tan (/ x (* y 2))) (sin (/ (* (neg (pow x 3)) -1/2) (* (* x x) y)))) (tan (/ x (* y 2))) (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (sin 0) (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (+ (sin 0) (sin (/ x y))) (sin (/ x (* y 2))) (sin (/ (* (neg (pow x 3)) -1/2) (* (* x x) y))) (sin (/ x y)) (sin (/ x (* 2 y))) (/ x (* 2 y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 540 | 7814 |
| 1 | 1627 | 7688 |
| 2 | 5556 | 7640 |
| 0 | 8094 | 7258 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (cos (* -1/2 (/ x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(cos (* -1/2 (/ x y))) |
(cos (* -1/2 (/ x y))) |
(cos (* -1/2 (/ x y))) |
(cos (* -1/2 (/ x y))) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) |
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) |
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) |
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) |
(/ 2 (sin (/ x y))) |
(/ 2 (sin (/ x y))) |
(/ 2 (sin (/ x y))) |
(/ 2 (sin (/ x y))) |
(sin (/ x y)) |
(sin (/ x y)) |
(sin (/ x y)) |
(sin (/ x y)) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (/ x y)) |
(sin (/ x y)) |
(sin (/ x y)) |
(sin (/ x y)) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
1 |
(+ 1 (* -1/8 (/ (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)))))) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
1 |
(- (+ 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))))))))) |
(* 1/2 (/ x y)) |
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1 |
(- (+ 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))))))))) |
(* 1/2 (/ x y)) |
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(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5))))) (pow y 6))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (* 1/384 (/ (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 6))))))))) y) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
1 |
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1 |
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(* y (- (+ (* -1 (/ (+ (* -1/18 (pow x 3)) (* 1/60 (pow x 3))) (pow y 4))) (* 2 (/ 1 x))) (* -1/3 (/ x (pow y 2))))) |
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(/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (* 1/120 (/ (pow x 5) (pow y 4))))) y) |
(/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (+ (* -1/5040 (/ (pow x 7) (pow y 6))) (* 1/120 (/ (pow x 5) (pow y 4)))))) y) |
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(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
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(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
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(/ (+ x (* -1/6 (/ (pow x 3) (pow y 2)))) y) |
(/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (* 1/120 (/ (pow x 5) (pow y 4))))) y) |
(/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (+ (* -1/5040 (/ (pow x 7) (pow y 6))) (* 1/120 (/ (pow x 5) (pow y 4)))))) y) |
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(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
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(* 1/2 (/ x y)) |
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1 |
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1 |
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(/ x y) |
(/ x y) |
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1 |
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(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
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1 |
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(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
1 |
(- (+ 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))))))))) |
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(* -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 (/ (- (* -1/48 (pow x 2)) (* -1/12 (pow x 2))) (pow y 2)))) |
(+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 2)) (* -1/12 (pow x 2))) (pow y 2))) (* 2 (/ (- (* 1/3840 (pow x 4)) (+ (* -1/6 (* (pow x 2) (- (* -1/48 (pow x 2)) (* -1/12 (pow x 2))))) (* 1/240 (pow x 4)))) (pow y 4))))) |
(+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 2)) (* -1/12 (pow x 2))) (pow y 2))) (+ (* 2 (/ (- (* -1/645120 (pow x 6)) (+ (* -1/6 (* (pow x 2) (- (* 1/3840 (pow x 4)) (+ (* -1/6 (* (pow x 2) (- (* -1/48 (pow x 2)) (* -1/12 (pow x 2))))) (* 1/240 (pow x 4)))))) (+ (* -1/10080 (pow x 6)) (* 1/120 (* (pow x 4) (- (* -1/48 (pow x 2)) (* -1/12 (pow x 2)))))))) (pow y 6))) (* 2 (/ (- (* 1/3840 (pow x 4)) (+ (* -1/6 (* (pow x 2) (- (* -1/48 (pow x 2)) (* -1/12 (pow x 2))))) (* 1/240 (pow x 4)))) (pow y 4)))))) |
(* 2 (/ y x)) |
(* -1 (* y (- (* -1/3 (/ x (pow y 2))) (* 2 (/ 1 x))))) |
(* -1 (* y (- (* -1 (/ (+ (* -1/60 (pow x 3)) (* 1/18 (pow x 3))) (pow y 4))) (+ (* 1/3 (/ x (pow y 2))) (* 2 (/ 1 x)))))) |
(* -1 (* y (- (* -1 (/ (+ (* -1/360 (pow x 5)) (+ (* 1/2520 (pow x 5)) (* 1/6 (* (pow x 2) (+ (* -1/60 (pow x 3)) (* 1/18 (pow x 3))))))) (pow y 6))) (+ (* -1/60 (/ (pow x 3) (pow y 4))) (+ (* 1/18 (/ (pow x 3) (pow y 4))) (+ (* 1/3 (/ x (pow y 2))) (* 2 (/ 1 x)))))))) |
(/ x y) |
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(* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y)) |
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(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
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(* -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)) |
(/ x y) |
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(* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y)) |
(* 1/2 (/ x y)) |
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(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
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1 |
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(+ 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)))))) |
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(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x 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)))))) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 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)))))) |
(* 1/2 (/ x y)) |
(* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (pow x 3)) |
(* 1/2 (pow x 3)) |
(* 1/2 (pow x 3)) |
(* 1/2 (pow x 3)) |
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(* 1/2 (/ x y)) |
(* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
1 |
(+ 1 (* 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)))))) |
(* 2 (/ y x)) |
(/ (+ (* 1/3 (/ (pow x 2) y)) (* 2 y)) x) |
(/ (+ (* 2 y) (* (pow x 2) (+ (* 7/180 (/ (pow x 2) (pow y 3))) (* 1/3 (/ 1 y))))) x) |
(/ (+ (* 2 y) (* (pow x 2) (+ (* (pow x 2) (+ (* 31/7560 (/ (pow x 2) (pow y 5))) (* 7/180 (/ 1 (pow y 3))))) (* 1/3 (/ 1 y))))) x) |
(/ x y) |
(* x (+ (* -1/6 (/ (pow x 2) (pow y 3))) (/ 1 y))) |
(* x (+ (* (pow x 2) (- (* 1/120 (/ (pow x 2) (pow y 5))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/5040 (/ (pow x 2) (pow y 7))) (* 1/120 (/ 1 (pow y 5))))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y))) |
(* 1/2 (/ x y)) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* 1/2 (/ x y)) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(/ x y) |
(* x (+ (* -1/6 (/ (pow x 2) (pow y 3))) (/ 1 y))) |
(* x (+ (* (pow x 2) (- (* 1/120 (/ (pow x 2) (pow y 5))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/5040 (/ (pow x 2) (pow y 7))) (* 1/120 (/ 1 (pow y 5))))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y))) |
(* 1/2 (/ x y)) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(cos (* -1/2 (/ x y))) |
(cos (* -1/2 (/ x y))) |
(cos (* -1/2 (/ x y))) |
(cos (* -1/2 (/ x y))) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (pow x 3)) |
(* 1/2 (pow x 3)) |
(* 1/2 (pow x 3)) |
(* 1/2 (pow x 3)) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) |
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) |
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) |
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) |
(/ 2 (sin (/ x y))) |
(/ 2 (sin (/ x y))) |
(/ 2 (sin (/ x y))) |
(/ 2 (sin (/ x y))) |
(sin (/ x y)) |
(sin (/ x y)) |
(sin (/ x y)) |
(sin (/ x y)) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (/ x y)) |
(sin (/ x y)) |
(sin (/ x y)) |
(sin (/ x y)) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(cos (* -1/2 (/ x y))) |
(cos (* -1/2 (/ x y))) |
(cos (* -1/2 (/ x y))) |
(cos (* -1/2 (/ x y))) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (pow x 3)) |
(* 1/2 (pow x 3)) |
(* 1/2 (pow x 3)) |
(* 1/2 (pow x 3)) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) |
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) |
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) |
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) |
(/ 2 (sin (/ x y))) |
(/ 2 (sin (/ x y))) |
(/ 2 (sin (/ x y))) |
(/ 2 (sin (/ x y))) |
(sin (/ x y)) |
(sin (/ x y)) |
(sin (/ x y)) |
(sin (/ x y)) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (/ x y)) |
(sin (/ x y)) |
(sin (/ x y)) |
(sin (/ x y)) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
| Outputs |
|---|
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(cos (* -1/2 (/ x y))) |
(cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
(cos (* -1/2 (/ x y))) |
(cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
(cos (* -1/2 (/ x y))) |
(cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
(cos (* -1/2 (/ x y))) |
(cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
(* -1/2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal -1/2 binary64)) |
(* -1/2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal -1/2 binary64)) |
(* -1/2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal -1/2 binary64)) |
(* -1/2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal -1/2 binary64)) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.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))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ (pow x 2) y)) |
(*.f64 (*.f64 x (/.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (/ (pow x 2) y)) |
(*.f64 (*.f64 x (/.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (/ (pow x 2) y)) |
(*.f64 (*.f64 x (/.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (/ (pow x 2) y)) |
(*.f64 (*.f64 x (/.f64 x y)) #s(literal 1/2 binary64)) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.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))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.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))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.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))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.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))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64)) |
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64)) |
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64)) |
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64)) |
(/ 2 (sin (/ x y))) |
(/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))) |
(/ 2 (sin (/ x y))) |
(/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))) |
(/ 2 (sin (/ x y))) |
(/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))) |
(/ 2 (sin (/ x y))) |
(/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
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(cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
(* -1/2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal -1/2 binary64)) |
(* -1/2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal -1/2 binary64)) |
(* -1/2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal -1/2 binary64)) |
(* -1/2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal -1/2 binary64)) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.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))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ (pow x 2) y)) |
(*.f64 (*.f64 x (/.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (/ (pow x 2) y)) |
(*.f64 (*.f64 x (/.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (/ (pow x 2) y)) |
(*.f64 (*.f64 x (/.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (/ (pow x 2) y)) |
(*.f64 (*.f64 x (/.f64 x y)) #s(literal 1/2 binary64)) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.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))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.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))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.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))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.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))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64)) |
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64)) |
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64)) |
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64)) |
(/ 2 (sin (/ x y))) |
(/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))) |
(/ 2 (sin (/ x y))) |
(/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))) |
(/ 2 (sin (/ x y))) |
(/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))) |
(/ 2 (sin (/ x y))) |
(/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(cos (* -1/2 (/ x y))) |
(cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
(cos (* -1/2 (/ x y))) |
(cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
(cos (* -1/2 (/ x y))) |
(cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
(cos (* -1/2 (/ x y))) |
(cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
(* -1/2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal -1/2 binary64)) |
(* -1/2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal -1/2 binary64)) |
(* -1/2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal -1/2 binary64)) |
(* -1/2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal -1/2 binary64)) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.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))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ (pow x 2) y)) |
(*.f64 (*.f64 x (/.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (/ (pow x 2) y)) |
(*.f64 (*.f64 x (/.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (/ (pow x 2) y)) |
(*.f64 (*.f64 x (/.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (/ (pow x 2) y)) |
(*.f64 (*.f64 x (/.f64 x y)) #s(literal 1/2 binary64)) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.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))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.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))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.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))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.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))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64)) |
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64)) |
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64)) |
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64)) |
(/ 2 (sin (/ x y))) |
(/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))) |
(/ 2 (sin (/ x y))) |
(/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))) |
(/ 2 (sin (/ x y))) |
(/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))) |
(/ 2 (sin (/ x y))) |
(/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 202 |
| 0 | 79 | 166 |
| 1 | 243 | 153 |
| 2 | 1234 | 128 |
| 0 | 9337 | 128 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 x y)) |
(/.f64 x y) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x) |
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) |
(/.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))))) |
(tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y)) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) |
(/.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)))) |
(tan.f64 (/.f64 x (*.f64 y #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))) |
(sin.f64 #s(literal 0 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y)))) #s(literal 2 binary64)) |
(+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) |
(sin.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))) |
(sin.f64 (/.f64 x y)) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
| Outputs |
|---|
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Compiled 50 157 to 5 157 computations (89.7% saved)
104 alts after pruning (101 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 268 | 75 | 2 343 |
| Fresh | 27 | 26 | 53 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 2 298 | 104 | 2 402 |
| Status | Accuracy | Program |
|---|---|---|
| 53.4% | (pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 55.2% | (pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) #s(literal -1/2 binary64)) | |
| 41.4% | (/.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))) | |
| 41.4% | (/.f64 (/.f64 (pow.f64 (cos.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))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 43.3% | (/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 (cos.f64 (/.f64 x y)) (cos.f64 #s(literal 0 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.2% | (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 42.2% | (/.f64 (/.f64 #s(literal -2 binary64) (sin.f64 (/.f64 x y))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) | |
| 29.1% | (/.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 (pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) | |
| 38.2% | (/.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 (pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))) | |
| 42.1% | (/.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 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) #s(literal -1 binary64))) | |
| 41.9% | (/.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 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal -1 binary64))) | |
| 40.8% | (/.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 (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))) | |
| 23.9% | (/.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 (/.f64 (neg.f64 x) y) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x)))) #s(literal -1 binary64))) | |
| 37.7% | (/.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 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))) #s(literal -1 binary64))) | |
| 40.7% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))))) #s(literal 2 binary64)) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) | |
| 40.8% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))))) #s(literal 2 binary64)) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) | |
| 37.2% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))))) #s(literal 2 binary64)) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) | |
| 23.5% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))))) #s(literal 2 binary64)) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) | |
| 30.5% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))) (/.f64 #s(literal -1 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))) | |
| 43.8% | (/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (sin.f64 (/.f64 x y))) | |
| 40.9% | (/.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))))) | |
| 37.6% | (/.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))))) | |
| 29.2% | (/.f64 (tan.f64 (/.f64 (/.f64 x (/.f64 (*.f64 #s(literal 2 binary64) y) x)) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 42.8% | (/.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))))) | |
| 31.1% | (/.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))))) | |
| 12.2% | (/.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))))) | |
| 7.8% | (/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (neg.f64 (pow.f64 x #s(literal 6 binary64)))) (*.f64 (*.f64 y x) (pow.f64 x #s(literal 3 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 29.2% | (/.f64 (tan.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x) (neg.f64 x)) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 7.7% | (/.f64 (tan.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x x) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 20.5% | (/.f64 (tan.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| ▶ | 20.0% | (/.f64 (tan.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (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))))) |
| 28.3% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) | |
| 39.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal -2 binary64))) | |
| 41.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) | |
| 37.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))) #s(literal -1 binary64)))) | |
| 13.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) y))))) | |
| 43.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)))) | |
| 28.5% | (/.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))))) | |
| 13.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (neg.f64 y) x) x)))) | |
| 22.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) x))) | |
| 6.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (pow.f64 x #s(literal 6 binary64)))) (*.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))))) | |
| 6.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) x)))) | |
| 13.3% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) y)))) | |
| 19.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))))) | |
| 27.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) y))))) | |
| ✓ | 43.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 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))))))) | |
| 19.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) | |
| ▶ | 41.3% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) |
| 41.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) | |
| 13.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) y) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))) | |
| 24.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x))))) | |
| 42.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| 29.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (neg.f64 x) (/.f64 x y))))) | |
| 37.5% | (/.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))))) | |
| 39.6% | (/.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))))) | |
| 41.3% | (/.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.1% | (/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.2% | (/.f64 (tan.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 42.5% | (/.f64 (tan.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 12.4% | (/.f64 (tan.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 17.3% | (/.f64 (tan.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 14.6% | (/.f64 (tan.f64 (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) x) (/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 42.7% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 37.9% | (/.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))))) | |
| 43.9% | (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (neg.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))))) | |
| 30.5% | (/.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) | |
| 23.4% | (/.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64))) (*.f64 (/.f64 (+.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 2 binary64)))) | |
| 35.7% | (/.f64 #s(approx (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x (/.f64 x y)) (*.f64 #s(literal 2 binary64) y)) x)) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) | |
| 35.7% | (/.f64 #s(approx (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (*.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) x)) y)) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) | |
| 37.5% | (/.f64 #s(approx (tan (/ (* (/ -1/2 y) (neg (* x x))) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 42.2% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal -2 binary64) (sin.f64 (/.f64 x y))))) | |
| 42.1% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) | |
| 29.1% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))))) | |
| 49.7% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) (neg.f64 x)))) | |
| 42.8% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (neg.f64 y) x)))) | |
| ▶ | 56.4% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) |
| 21.5% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))) | |
| 38.1% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (/.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) | |
| 46.4% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 y x)) (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) x)))) | |
| ▶ | 30.1% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x)) (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) y)))) |
| 49.8% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) (/.f64 (*.f64 x x) x)))) | |
| 42.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) | |
| 38.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) x) (/.f64 #s(literal 1/2 binary64) (*.f64 y x))))) | |
| 56.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)))) | |
| 54.9% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 x) (/.f64 x y))))) | |
| 56.1% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) | |
| 19.8% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) y))))) | |
| 42.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64))) (/.f64 (neg.f64 x) y))))) | |
| ✓ | 56.3% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
| 42.5% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 x) y) (neg.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)))))))) | |
| 56.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))))) | |
| 56.1% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))))) | |
| 40.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)))))) | |
| 55.8% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))))) | |
| 51.1% | (/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (/.f64 x y)) y) #s(literal 1 binary64)))) | |
| 42.2% | (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (sin.f64 (/.f64 x y)))) | |
| 23.8% | (*.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal -3 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (pow.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)) #s(literal -1 binary64)))) | |
| 42.2% | (*.f64 (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) | |
| 30.0% | (*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x y))))) | |
| 42.0% | (*.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) | |
| 42.2% | (*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) | |
| ▶ | 50.8% | #s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 x (/.f64 x y)) #s(literal 1 binary64))) |
| ✓ | 55.3% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
Compiled 3 813 to 2 928 computations (23.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (tan.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))))) | |
| cost-diff | 0 | (/.f64 (tan.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (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))))) | |
| cost-diff | 192 | (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64))) | |
| cost-diff | 13952 | (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) | |
| cost-diff | 0 | (pow.f64 x #s(literal 3/2 binary64)) | |
| cost-diff | 0 | (cos.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x)) (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) y))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x)) (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) y)))) | |
| cost-diff | 7552 | (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x)) (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) y)) | |
| cost-diff | 0 | (/.f64 x (*.f64 y #s(literal 2 binary64))) | |
| cost-diff | 0 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| cost-diff | 0 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) | |
| cost-diff | 0 | (*.f64 x (/.f64 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 x (/.f64 x y)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 x (/.f64 x y)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) (/.f64 y x)) | |
| cost-diff | 0 | (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 327 |
| 0 | 92 | 285 |
| 1 | 147 | 274 |
| 2 | 320 | 260 |
| 3 | 2033 | 260 |
| 4 | 4865 | 260 |
| 0 | 8638 | 260 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) |
#s(literal 1 binary64) |
(cos.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 |
#s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 x (/.f64 x y)) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 x (/.f64 x y)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/8 binary64) y) |
#s(literal 1/8 binary64) |
y |
(*.f64 x (/.f64 x y)) |
x |
(/.f64 x y) |
#s(literal 1 binary64) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
x |
(*.f64 y #s(literal 2 binary64)) |
y |
#s(literal 2 binary64) |
(sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) |
#s(literal 1 binary64) |
(*.f64 (/.f64 #s(literal 2 binary64) x) y) |
(/.f64 #s(literal 2 binary64) x) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x)) (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) y)))) |
#s(literal 1 binary64) |
(cos.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x)) (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) y))) |
(*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x)) (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) y)) |
(/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x)) |
(pow.f64 x #s(literal 3/2 binary64)) |
x |
#s(literal 3/2 binary64) |
(*.f64 x x) |
(/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) y) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
y |
(/.f64 (tan.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (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))))) |
(tan.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))))) |
(/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) |
x |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) |
(-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64))) |
#s(literal 0 binary64) |
(pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64)) |
(*.f64 #s(literal -2 binary64) y) |
#s(literal -2 binary64) |
y |
#s(literal 3 binary64) |
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(*.f64 y #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) |
#s(literal 1 binary64) |
(cos.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 |
#s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 x (/.f64 x y)) #s(literal 1 binary64))) |
#s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 1/8 binary64) y) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 x (/.f64 x y)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (/.f64 x y) x) (/.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 x (/.f64 x y)) |
(*.f64 (/.f64 x y) x) |
x |
(/.f64 x y) |
#s(literal 1 binary64) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) 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 #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 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
#s(literal 1 binary64) |
(*.f64 (/.f64 #s(literal 2 binary64) x) y) |
(/.f64 #s(literal 2 binary64) x) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x)) (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) y)) (pow.f64 x #s(literal 3 binary64))))) |
#s(literal 1 binary64) |
(cos.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x)) (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) y))) |
(cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) y)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x)) (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) y)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) y)) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x)) |
(/.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) x) x) |
(pow.f64 x #s(literal 3/2 binary64)) |
x |
#s(literal 3/2 binary64) |
(*.f64 x x) |
(/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) y) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
y |
(/.f64 (tan.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (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 (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 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))))) |
(tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
x |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) y) |
(-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64))) |
(*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) |
#s(literal 0 binary64) |
(pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64)) |
(*.f64 #s(literal -2 binary64) y) |
#s(literal -2 binary64) |
y |
#s(literal 3 binary64) |
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
(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) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 7.668054032575585 | (/.f64 (tan.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (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))))) | |
| accuracy | 27.76452759789793 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 28.378822204722667 | (tan.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))))) | |
| accuracy | 39.07502006534832 | (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) | |
| accuracy | 7.797814472964875 | (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x)) (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) y)) | |
| accuracy | 8.114707378911515 | (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) y) | |
| accuracy | 27.913525258057394 | (cos.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x)) (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) y))) | |
| accuracy | 33.368322164024704 | (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x)) | |
| accuracy | 0.7076583639879578 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) | |
| accuracy | 7.668054032575585 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) | |
| accuracy | 27.76452759789793 | (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) | |
| accuracy | 28.378822204722667 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 0 | (/.f64 #s(literal 1/8 binary64) y) | |
| accuracy | 0.12890625 | (*.f64 x (/.f64 x y)) | |
| accuracy | 2.5988628905851523 | (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 x (/.f64 x y)) #s(literal 1 binary64)) | |
| accuracy | 31.49435004663356 | #s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 x (/.f64 x y)) #s(literal 1 binary64))) | |
| accuracy | 0 | (/.f64 y x) | |
| accuracy | 0.11328125 | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) | |
| accuracy | 0.7076583639879578 | (/.f64 #s(literal -1/2 binary64) (/.f64 y x)) | |
| accuracy | 27.913525258057394 | (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x))) |
| 162.0ms | 121× | 1 | valid |
| 60.0ms | 135× | 0 | valid |
Compiled 319 to 57 computations (82.1% saved)
ival-div: 40.0ms (21.9% of total)ival-pow: 38.0ms (20.8% of total)ival-sin: 36.0ms (19.7% of total)ival-mult: 22.0ms (12.1% of total)ival-cos: 15.0ms (8.2% of total)ival-tan: 11.0ms (6% of total)adjust: 10.0ms (5.5% of total)ival-add: 4.0ms (2.2% of total)ival-pow2: 3.0ms (1.6% of total)ival-sub: 2.0ms (1.1% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) #<representation binary64>) () ()) |
#s(alt (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x))) (patch (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1/2 binary64) (/.f64 y x)) (patch (/.f64 #s(literal -1/2 binary64) (/.f64 y x)) #<representation binary64>) () ()) |
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 x (/.f64 x y)) #s(literal 1 binary64))) (patch #s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 x (/.f64 x y)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 x (/.f64 x y)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 x (/.f64 x y)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/8 binary64) y) (patch (/.f64 #s(literal 1/8 binary64) y) #<representation binary64>) () ()) |
#s(alt (*.f64 x (/.f64 x y)) (patch (*.f64 x (/.f64 x y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) #<representation binary64>) () ()) |
#s(alt (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 x (*.f64 y #s(literal 2 binary64))) (patch (/.f64 x (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x)) (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) y)) (patch (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x)) (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x)) (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) y)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x)) (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) y)))) #<representation binary64>) () ()) |
#s(alt (cos.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x)) (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) y))) (patch (cos.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x)) (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) y))) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal 3/2 binary64)) (patch (pow.f64 x #s(literal 3/2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (patch (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64))) (patch (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (tan.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (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))))) (patch (/.f64 (tan.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (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))))) #<representation binary64>) () ()) |
#s(alt (tan.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))))) (patch (tan.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))))) #<representation binary64>) () ()) |
#s(alt (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) (patch (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) #<representation binary64>) () ()) |
#s(alt (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x)) (patch (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) y) (patch (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) y) #<representation binary64>) () ()) |
#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ 1 (cos (* -1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* -1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* -1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* -1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) #<representation binary64>) () ())) ()) |
#s(alt (cos (* -1/2 (/ x y))) (taylor 0 y) (#s(alt (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x))) (patch (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (cos (* -1/2 (/ x y))) (taylor 0 y) (#s(alt (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x))) (patch (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (cos (* -1/2 (/ x y))) (taylor 0 y) (#s(alt (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x))) (patch (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (cos (* -1/2 (/ x y))) (taylor 0 y) (#s(alt (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x))) (patch (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 #s(literal -1/2 binary64) (/.f64 y x)) (patch (/.f64 #s(literal -1/2 binary64) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 #s(literal -1/2 binary64) (/.f64 y x)) (patch (/.f64 #s(literal -1/2 binary64) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 #s(literal -1/2 binary64) (/.f64 y x)) (patch (/.f64 #s(literal -1/2 binary64) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 #s(literal -1/2 binary64) (/.f64 y x)) (patch (/.f64 #s(literal -1/2 binary64) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) (taylor 0 y) (#s(alt #s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 x (/.f64 x y)) #s(literal 1 binary64))) (patch #s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 x (/.f64 x y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) (taylor 0 y) (#s(alt #s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 x (/.f64 x y)) #s(literal 1 binary64))) (patch #s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 x (/.f64 x y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) (taylor 0 y) (#s(alt #s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 x (/.f64 x y)) #s(literal 1 binary64))) (patch #s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 x (/.f64 x y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) (taylor 0 y) (#s(alt #s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 x (/.f64 x y)) #s(literal 1 binary64))) (patch #s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 x (/.f64 x y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 (/ (pow x 2) (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 x (/.f64 x y)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 x (/.f64 x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 x (/.f64 x y)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 x (/.f64 x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 x (/.f64 x y)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 x (/.f64 x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 x (/.f64 x y)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 x (/.f64 x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/8 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/8 binary64) y) (patch (/.f64 #s(literal 1/8 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/8 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/8 binary64) y) (patch (/.f64 #s(literal 1/8 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/8 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/8 binary64) y) (patch (/.f64 #s(literal 1/8 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/8 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/8 binary64) y) (patch (/.f64 #s(literal 1/8 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor 0 y) (#s(alt (*.f64 x (/.f64 x y)) (patch (*.f64 x (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor 0 y) (#s(alt (*.f64 x (/.f64 x y)) (patch (*.f64 x (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor 0 y) (#s(alt (*.f64 x (/.f64 x y)) (patch (*.f64 x (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor 0 y) (#s(alt (*.f64 x (/.f64 x y)) (patch (*.f64 x (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 y #s(literal 2 binary64))) (patch (/.f64 x (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 y #s(literal 2 binary64))) (patch (/.f64 x (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 y #s(literal 2 binary64))) (patch (/.f64 x (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 y #s(literal 2 binary64))) (patch (/.f64 x (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x)) (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) y)) (patch (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x)) (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x)) (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) y)) (patch (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x)) (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) y)) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | x | @ | -inf | ((/ 1 (cos (/ -1/2 (/ y x)))) (cos (/ -1/2 (/ y x))) (/ -1/2 (/ y x)) (/ y x) (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (+ (* (/ 1/8 y) (* x (/ x y))) 1) (/ 1/8 y) (* x (/ x y)) (/ 1 (* (/ 2 x) y)) (/ (tan (/ x (* y 2))) (sin (/ 1 (* (/ 2 x) y)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* (/ (pow x 3/2) (* x x)) (/ (* (pow x 3/2) -1/2) y)) (/ 1 (cos (* (/ (pow x 3/2) (* x x)) (/ (* (pow x 3/2) -1/2) y)))) (cos (* (/ (pow x 3/2) (* x x)) (/ (* (pow x 3/2) -1/2) y))) (pow x 3/2) (/ (- 0 (pow (* -2 y) 3)) (pow (* 2 y) 2)) (- 0 (pow (* -2 y) 3)) (/ (tan (/ x (/ (- 0 (pow (* -2 y) 3)) (pow (* 2 y) 2)))) (sin (/ x (* y 2)))) (tan (/ x (/ (- 0 (pow (* -2 y) 3)) (pow (* 2 y) 2)))) (sin (/ 1 (* (/ 2 x) y))) (/ (pow x 3/2) (* x x)) (/ (* (pow x 3/2) -1/2) y) (sin (/ x (* y 2)))) |
| 5.0ms | y | @ | 0 | ((/ 1 (cos (/ -1/2 (/ y x)))) (cos (/ -1/2 (/ y x))) (/ -1/2 (/ y x)) (/ y x) (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (+ (* (/ 1/8 y) (* x (/ x y))) 1) (/ 1/8 y) (* x (/ x y)) (/ 1 (* (/ 2 x) y)) (/ (tan (/ x (* y 2))) (sin (/ 1 (* (/ 2 x) y)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* (/ (pow x 3/2) (* x x)) (/ (* (pow x 3/2) -1/2) y)) (/ 1 (cos (* (/ (pow x 3/2) (* x x)) (/ (* (pow x 3/2) -1/2) y)))) (cos (* (/ (pow x 3/2) (* x x)) (/ (* (pow x 3/2) -1/2) y))) (pow x 3/2) (/ (- 0 (pow (* -2 y) 3)) (pow (* 2 y) 2)) (- 0 (pow (* -2 y) 3)) (/ (tan (/ x (/ (- 0 (pow (* -2 y) 3)) (pow (* 2 y) 2)))) (sin (/ x (* y 2)))) (tan (/ x (/ (- 0 (pow (* -2 y) 3)) (pow (* 2 y) 2)))) (sin (/ 1 (* (/ 2 x) y))) (/ (pow x 3/2) (* x x)) (/ (* (pow x 3/2) -1/2) y) (sin (/ x (* y 2)))) |
| 4.0ms | x | @ | inf | ((/ 1 (cos (/ -1/2 (/ y x)))) (cos (/ -1/2 (/ y x))) (/ -1/2 (/ y x)) (/ y x) (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (+ (* (/ 1/8 y) (* x (/ x y))) 1) (/ 1/8 y) (* x (/ x y)) (/ 1 (* (/ 2 x) y)) (/ (tan (/ x (* y 2))) (sin (/ 1 (* (/ 2 x) y)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* (/ (pow x 3/2) (* x x)) (/ (* (pow x 3/2) -1/2) y)) (/ 1 (cos (* (/ (pow x 3/2) (* x x)) (/ (* (pow x 3/2) -1/2) y)))) (cos (* (/ (pow x 3/2) (* x x)) (/ (* (pow x 3/2) -1/2) y))) (pow x 3/2) (/ (- 0 (pow (* -2 y) 3)) (pow (* 2 y) 2)) (- 0 (pow (* -2 y) 3)) (/ (tan (/ x (/ (- 0 (pow (* -2 y) 3)) (pow (* 2 y) 2)))) (sin (/ x (* y 2)))) (tan (/ x (/ (- 0 (pow (* -2 y) 3)) (pow (* 2 y) 2)))) (sin (/ 1 (* (/ 2 x) y))) (/ (pow x 3/2) (* x x)) (/ (* (pow x 3/2) -1/2) y) (sin (/ x (* y 2)))) |
| 4.0ms | y | @ | -inf | ((/ 1 (cos (/ -1/2 (/ y x)))) (cos (/ -1/2 (/ y x))) (/ -1/2 (/ y x)) (/ y x) (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (+ (* (/ 1/8 y) (* x (/ x y))) 1) (/ 1/8 y) (* x (/ x y)) (/ 1 (* (/ 2 x) y)) (/ (tan (/ x (* y 2))) (sin (/ 1 (* (/ 2 x) y)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* (/ (pow x 3/2) (* x x)) (/ (* (pow x 3/2) -1/2) y)) (/ 1 (cos (* (/ (pow x 3/2) (* x x)) (/ (* (pow x 3/2) -1/2) y)))) (cos (* (/ (pow x 3/2) (* x x)) (/ (* (pow x 3/2) -1/2) y))) (pow x 3/2) (/ (- 0 (pow (* -2 y) 3)) (pow (* 2 y) 2)) (- 0 (pow (* -2 y) 3)) (/ (tan (/ x (/ (- 0 (pow (* -2 y) 3)) (pow (* 2 y) 2)))) (sin (/ x (* y 2)))) (tan (/ x (/ (- 0 (pow (* -2 y) 3)) (pow (* 2 y) 2)))) (sin (/ 1 (* (/ 2 x) y))) (/ (pow x 3/2) (* x x)) (/ (* (pow x 3/2) -1/2) y) (sin (/ x (* y 2)))) |
| 4.0ms | y | @ | inf | ((/ 1 (cos (/ -1/2 (/ y x)))) (cos (/ -1/2 (/ y x))) (/ -1/2 (/ y x)) (/ y x) (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (+ (* (/ 1/8 y) (* x (/ x y))) 1) (/ 1/8 y) (* x (/ x y)) (/ 1 (* (/ 2 x) y)) (/ (tan (/ x (* y 2))) (sin (/ 1 (* (/ 2 x) y)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* (/ (pow x 3/2) (* x x)) (/ (* (pow x 3/2) -1/2) y)) (/ 1 (cos (* (/ (pow x 3/2) (* x x)) (/ (* (pow x 3/2) -1/2) y)))) (cos (* (/ (pow x 3/2) (* x x)) (/ (* (pow x 3/2) -1/2) y))) (pow x 3/2) (/ (- 0 (pow (* -2 y) 3)) (pow (* 2 y) 2)) (- 0 (pow (* -2 y) 3)) (/ (tan (/ x (/ (- 0 (pow (* -2 y) 3)) (pow (* 2 y) 2)))) (sin (/ x (* y 2)))) (tan (/ x (/ (- 0 (pow (* -2 y) 3)) (pow (* 2 y) 2)))) (sin (/ 1 (* (/ 2 x) y))) (/ (pow x 3/2) (* x x)) (/ (* (pow x 3/2) -1/2) y) (sin (/ x (* y 2)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 427 | 6938 |
| 1 | 1254 | 6762 |
| 2 | 4345 | 6718 |
| 0 | 8783 | 6366 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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(* 2 y) |
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1 |
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(* 1/2 (/ x y)) |
1 |
(- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
(* 1/2 (/ x y)) |
(* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y)) |
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
1 |
(+ 1 (* -1/8 (/ (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 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 8 (pow y 3)) |
(* 8 (pow y 3)) |
(* 8 (pow y 3)) |
(* 8 (pow y 3)) |
1 |
(- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
(* 1/2 (/ x y)) |
(* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y)) |
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y)) |
(* 1/2 (/ x y)) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
(* -1/2 (* (sqrt (pow x 3)) (/ 1 y))) |
(* -1/2 (* (sqrt (pow x 3)) (/ 1 y))) |
(* -1/2 (* (sqrt (pow x 3)) (/ 1 y))) |
(* -1/2 (* (sqrt (pow x 3)) (/ 1 y))) |
(* 1/2 (/ x y)) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
1 |
(+ 1 (* 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 (* -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)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
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 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x 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)))))) |
(* 1/2 (/ x y)) |
(* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x 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 (* -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)))))) |
(sqrt (pow x 3)) |
(sqrt (pow x 3)) |
(sqrt (pow x 3)) |
(sqrt (pow x 3)) |
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(* 1/2 (/ x y)) |
(* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* 1/2 (/ x y)) |
(* x (+ (* -1/48 (/ (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)))) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(* -1/2 (* (sqrt (pow x 3)) (/ 1 y))) |
(* -1/2 (* (sqrt (pow x 3)) (/ 1 y))) |
(* -1/2 (* (sqrt (pow x 3)) (/ 1 y))) |
(* -1/2 (* (sqrt (pow x 3)) (/ 1 y))) |
(* 1/2 (/ x y)) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(cos (* -1/2 (/ x y))) |
(cos (* -1/2 (/ x y))) |
(cos (* -1/2 (/ x y))) |
(cos (* -1/2 (/ x y))) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) |
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) |
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) |
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(cos (* -1/2 (/ x y))) |
(cos (* -1/2 (/ x y))) |
(cos (* -1/2 (/ x y))) |
(cos (* -1/2 (/ x y))) |
(sqrt (pow x 3)) |
(sqrt (pow x 3)) |
(sqrt (pow x 3)) |
(sqrt (pow x 3)) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(* -1/2 (* (sqrt (pow x 3)) (/ 1 y))) |
(* -1/2 (* (sqrt (pow x 3)) (/ 1 y))) |
(* -1/2 (* (sqrt (pow x 3)) (/ 1 y))) |
(* -1/2 (* (sqrt (pow x 3)) (/ 1 y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(cos (* -1/2 (/ x y))) |
(cos (* -1/2 (/ x y))) |
(cos (* -1/2 (/ x y))) |
(cos (* -1/2 (/ x y))) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) |
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) |
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) |
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ (* x (pow (sqrt -1) 2)) y)) |
(* 1/2 (/ (* x (pow (sqrt -1) 2)) y)) |
(* 1/2 (/ (* x (pow (sqrt -1) 2)) y)) |
(* 1/2 (/ (* x (pow (sqrt -1) 2)) y)) |
(/ 1 (cos (* 1/2 (/ (* x (pow (sqrt -1) 2)) y)))) |
(/ 1 (cos (* 1/2 (/ (* x (pow (sqrt -1) 2)) y)))) |
(/ 1 (cos (* 1/2 (/ (* x (pow (sqrt -1) 2)) y)))) |
(/ 1 (cos (* 1/2 (/ (* x (pow (sqrt -1) 2)) y)))) |
(cos (* 1/2 (/ (* x (pow (sqrt -1) 2)) y))) |
(cos (* 1/2 (/ (* x (pow (sqrt -1) 2)) y))) |
(cos (* 1/2 (/ (* x (pow (sqrt -1) 2)) y))) |
(cos (* 1/2 (/ (* x (pow (sqrt -1) 2)) y))) |
(* (sqrt (pow x 3)) (pow (sqrt -1) 2)) |
(* (sqrt (pow x 3)) (pow (sqrt -1) 2)) |
(* (sqrt (pow x 3)) (pow (sqrt -1) 2)) |
(* (sqrt (pow x 3)) (pow (sqrt -1) 2)) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* -1/2 (* (sqrt (pow x 3)) (/ (pow (sqrt -1) 2) y))) |
(* -1/2 (* (sqrt (pow x 3)) (/ (pow (sqrt -1) 2) y))) |
(* -1/2 (* (sqrt (pow x 3)) (/ (pow (sqrt -1) 2) y))) |
(* -1/2 (* (sqrt (pow x 3)) (/ (pow (sqrt -1) 2) y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
| Outputs |
|---|
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
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(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.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))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.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))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* -1/2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal -1/2 binary64)) |
(* -1/2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal -1/2 binary64)) |
(* -1/2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal -1/2 binary64)) |
(* -1/2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal -1/2 binary64)) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(cos (* -1/2 (/ x y))) |
(cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
(cos (* -1/2 (/ x y))) |
(cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
(cos (* -1/2 (/ x y))) |
(cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
(cos (* -1/2 (/ x y))) |
(cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
(sqrt (pow x 3)) |
(sqrt.f64 (pow.f64 x #s(literal 3 binary64))) |
(sqrt (pow x 3)) |
(sqrt.f64 (pow.f64 x #s(literal 3 binary64))) |
(sqrt (pow x 3)) |
(sqrt.f64 (pow.f64 x #s(literal 3 binary64))) |
(sqrt (pow x 3)) |
(sqrt.f64 (pow.f64 x #s(literal 3 binary64))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.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))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.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))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.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)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(* -1/2 (* (sqrt (pow x 3)) (/ 1 y))) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) y) #s(literal -1/2 binary64)) |
(* -1/2 (* (sqrt (pow x 3)) (/ 1 y))) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) y) #s(literal -1/2 binary64)) |
(* -1/2 (* (sqrt (pow x 3)) (/ 1 y))) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) y) #s(literal -1/2 binary64)) |
(* -1/2 (* (sqrt (pow x 3)) (/ 1 y))) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) y) #s(literal -1/2 binary64)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(cos (* -1/2 (/ x y))) |
(cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
(cos (* -1/2 (/ x y))) |
(cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
(cos (* -1/2 (/ x y))) |
(cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
(cos (* -1/2 (/ x y))) |
(cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
(* -1/2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal -1/2 binary64)) |
(* -1/2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal -1/2 binary64)) |
(* -1/2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal -1/2 binary64)) |
(* -1/2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal -1/2 binary64)) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64)) |
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64)) |
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64)) |
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64)) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y)) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(fma.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(fma.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(fma.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) (*.f64 x x) #s(literal 1 binary64)) |
(/ (pow x 2) y) |
(*.f64 x (/.f64 x y)) |
(/ (pow x 2) y) |
(*.f64 x (/.f64 x y)) |
(/ (pow x 2) y) |
(*.f64 x (/.f64 x y)) |
(/ (pow x 2) y) |
(*.f64 x (/.f64 x y)) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.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))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.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))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ (* x (pow (sqrt -1) 2)) y)) |
(*.f64 (/.f64 x y) #s(literal -1/2 binary64)) |
(* 1/2 (/ (* x (pow (sqrt -1) 2)) y)) |
(*.f64 (/.f64 x y) #s(literal -1/2 binary64)) |
(* 1/2 (/ (* x (pow (sqrt -1) 2)) y)) |
(*.f64 (/.f64 x y) #s(literal -1/2 binary64)) |
(* 1/2 (/ (* x (pow (sqrt -1) 2)) y)) |
(*.f64 (/.f64 x y) #s(literal -1/2 binary64)) |
(/ 1 (cos (* 1/2 (/ (* x (pow (sqrt -1) 2)) y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(/ 1 (cos (* 1/2 (/ (* x (pow (sqrt -1) 2)) y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(/ 1 (cos (* 1/2 (/ (* x (pow (sqrt -1) 2)) y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(/ 1 (cos (* 1/2 (/ (* x (pow (sqrt -1) 2)) y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(cos (* 1/2 (/ (* x (pow (sqrt -1) 2)) y))) |
(cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
(cos (* 1/2 (/ (* x (pow (sqrt -1) 2)) y))) |
(cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
(cos (* 1/2 (/ (* x (pow (sqrt -1) 2)) y))) |
(cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
(cos (* 1/2 (/ (* x (pow (sqrt -1) 2)) y))) |
(cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
(* (sqrt (pow x 3)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* (sqrt (pow x 3)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* (sqrt (pow x 3)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* (sqrt (pow x 3)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.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))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.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))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.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)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1/2 (* (sqrt (pow x 3)) (/ (pow (sqrt -1) 2) y))) |
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) y) #s(literal -1/2 binary64)) |
(* -1/2 (* (sqrt (pow x 3)) (/ (pow (sqrt -1) 2) y))) |
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) y) #s(literal -1/2 binary64)) |
(* -1/2 (* (sqrt (pow x 3)) (/ (pow (sqrt -1) 2) y))) |
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) y) #s(literal -1/2 binary64)) |
(* -1/2 (* (sqrt (pow x 3)) (/ (pow (sqrt -1) 2) y))) |
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) y) #s(literal -1/2 binary64)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 243 |
| 0 | 92 | 172 |
| 1 | 344 | 161 |
| 2 | 2042 | 154 |
| 0 | 8952 | 154 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) |
(cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x))) |
(/.f64 #s(literal -1/2 binary64) (/.f64 y x)) |
(/.f64 y x) |
#s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 x (/.f64 x y)) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 x (/.f64 x y)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/8 binary64) y) |
(*.f64 x (/.f64 x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x)) (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) y)) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x)) (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) y)))) |
(cos.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x)) (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) y))) |
(pow.f64 x #s(literal 3/2 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) |
(-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64))) |
(/.f64 (tan.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (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))))) |
(tan.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (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 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) |
(/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x)) |
(/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) y) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
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|---|
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Compiled 49 179 to 5 025 computations (89.8% saved)
127 alts after pruning (121 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 364 | 55 | 2 419 |
| Fresh | 30 | 66 | 96 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 2 396 | 127 | 2 523 |
| Status | Accuracy | Program |
|---|---|---|
| 53.4% | (pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 41.4% | (/.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))) | |
| 41.4% | (/.f64 (/.f64 (pow.f64 (cos.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))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 43.3% | (/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 (cos.f64 (/.f64 x y)) (cos.f64 #s(literal 0 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.2% | (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 42.2% | (/.f64 (/.f64 #s(literal -2 binary64) (sin.f64 (/.f64 x y))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) | |
| 38.2% | (/.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 (pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))) | |
| 41.9% | (/.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 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal -1 binary64))) | |
| 40.8% | (/.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 (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))) | |
| 37.7% | (/.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 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))) #s(literal -1 binary64))) | |
| 40.8% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))))) #s(literal 2 binary64)) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) | |
| 37.2% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))))) #s(literal 2 binary64)) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) | |
| 23.5% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))))) #s(literal 2 binary64)) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) | |
| 43.8% | (/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (sin.f64 (/.f64 x y))) | |
| 40.9% | (/.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))))) | |
| 31.1% | (/.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))))) | |
| 12.2% | (/.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))))) | |
| 29.2% | (/.f64 (tan.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x) (neg.f64 x)) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 7.7% | (/.f64 (tan.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x x) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| ▶ | 20.5% | (/.f64 (tan.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 4.2% | (/.f64 (tan.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) | |
| 3.6% | (/.f64 (tan.f64 (/.f64 x (/.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))))) | |
| 8.5% | (/.f64 (tan.f64 (/.f64 x (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 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))))) | |
| 5.0% | (/.f64 (tan.f64 (/.f64 x (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 17.5% | (/.f64 (tan.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (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 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y)) #s(literal -1 binary64))))) | |
| 19.9% | (/.f64 (tan.f64 (/.f64 x (/.f64 (*.f64 (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64)) (*.f64 y y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 18.0% | (/.f64 (tan.f64 (/.f64 x (/.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 2 binary64))) #s(literal 3/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 0.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 5 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 3.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 y y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 20.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 (*.f64 (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 39.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 39.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal -2 binary64))) | |
| 4.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 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)))) | |
| 37.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))) #s(literal -1 binary64)))) | |
| 3.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) y) (sqrt.f64 x)))) | |
| 43.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)))) | |
| 28.5% | (/.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))))) | |
| ▶ | 13.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (neg.f64 y) x) x)))) |
| ▶ | 1.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 (*.f64 x x) (neg.f64 y))))) |
| 6.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (pow.f64 x #s(literal 6 binary64)))) (*.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))))) | |
| 2.3% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 x)) (*.f64 y x)))) | |
| 6.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) x)))) | |
| 13.3% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) y)))) | |
| 4.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) | |
| 3.3% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (sqrt.f64 x) (*.f64 (/.f64 y (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64))) x)))) | |
| 19.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))))) | |
| 27.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) y))))) | |
| ✓ | 43.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 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))))))) | |
| 19.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) | |
| ✓ | 41.3% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) |
| 41.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) | |
| 4.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) | |
| 13.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) y) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))) | |
| 4.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (neg.f64 x)))) | |
| 29.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (neg.f64 x) (/.f64 x y))))) | |
| 37.5% | (/.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))))) | |
| 39.6% | (/.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))))) | |
| 2.7% | (/.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64))) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))))) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) | |
| 12.6% | (/.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1/2 binary64) y)) x)))) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) | |
| 41.3% | (/.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.1% | (/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.7% | (/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) | |
| 4.4% | (/.f64 (tan.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) | |
| 41.2% | (/.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))))) | |
| 4.4% | (/.f64 (tan.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) | |
| 42.5% | (/.f64 (tan.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 12.4% | (/.f64 (tan.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 4.4% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (neg.f64 x))) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) | |
| 42.7% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 1.9% | (/.f64 (tan.f64 (*.f64 (*.f64 (*.f64 x (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal -3 binary64))) #s(literal 4 binary64)) (*.f64 y y))) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) | |
| 2.0% | (/.f64 (tan.f64 (*.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 x x) y))))) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) | |
| 37.9% | (/.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))))) | |
| 44.2% | (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) | |
| 4.5% | (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) | |
| 30.5% | (/.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) | |
| 23.4% | (/.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64))) (*.f64 (/.f64 (+.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 2 binary64)))) | |
| 37.5% | (/.f64 #s(approx (tan (/ (* (/ -1/2 y) (neg (* x x))) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 36.3% | (/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) | |
| 42.2% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal -2 binary64) (sin.f64 (/.f64 x y))))) | |
| ▶ | 56.4% | (/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
| 56.1% | (/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (exp.f64 (log.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y))) #s(literal -1 binary64)))) | |
| 56.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x)))) | |
| 49.7% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) (neg.f64 x)))) | |
| 50.7% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x))))) | |
| 42.8% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (neg.f64 y) x)))) | |
| 30.1% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64))) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))))))) | |
| 53.1% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64))) x) (sqrt.f64 x))))) | |
| 45.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1/2 binary64) y)) x))))) | |
| 56.4% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) | |
| ✓ | 56.4% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) |
| 56.4% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x y))))) | |
| 55.6% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64)))))) | |
| 21.5% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))) | |
| 38.1% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (/.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) | |
| 29.8% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x)) (/.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (log.f64 x)) #s(literal -1/2 binary64)) y)))) | |
| 29.9% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x)) (/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3/4 binary64))) #s(literal 2 binary64))) #s(literal -1/2 binary64)) y)))) | |
| 29.4% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x)) (/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))) #s(literal -1/2 binary64)) y)))) | |
| 49.8% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) (/.f64 (*.f64 x x) x)))) | |
| 42.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) | |
| 53.1% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) y)))) | |
| 56.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)))) | |
| 56.1% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| 54.9% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 x) (/.f64 x y))))) | |
| 26.7% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (*.f64 x (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal -3 binary64))) #s(literal 4 binary64)) (*.f64 y y)))) | |
| 24.9% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 x (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal -3 binary64))))) | |
| 52.5% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) y)))) | |
| 52.8% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) y)))) | |
| 42.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64))) (/.f64 (neg.f64 x) y))))) | |
| ✓ | 56.3% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
| 42.5% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 x) y) (neg.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)))))))) | |
| 40.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)))))) | |
| 55.8% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))))) | |
| 56.0% | (/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y)) #s(literal -1 binary64))))) | |
| 51.1% | (/.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)))) | |
| 51.1% | (/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (/.f64 x y)) y) #s(literal 1 binary64)))) | |
| 42.2% | (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (sin.f64 (/.f64 x y)))) | |
| 23.8% | (*.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal -3 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (pow.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)) #s(literal -1 binary64)))) | |
| 42.2% | (*.f64 (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) | |
| 30.0% | (*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x y))))) | |
| 42.0% | (*.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) | |
| 42.2% | (*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) | |
| 4.7% | (neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64))) | |
| ✓ | 50.8% | #s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 x (/.f64 x y)) #s(literal 1 binary64))) |
| ▶ | 43.8% | #s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64))) |
| 28.7% | #s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) #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))) | |
| ✓ | 55.3% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
Compiled 4 483 to 3 531 computations (21.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| cost-diff | 0 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 (*.f64 x x) (neg.f64 y))))) | |
| cost-diff | 6784 | (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64)))) | |
| cost-diff | 7232 | (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 (*.f64 x x) (neg.f64 y))) | |
| cost-diff | 0 | (/.f64 x (*.f64 y #s(literal 2 binary64))) | |
| cost-diff | 0 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| cost-diff | 0 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (neg.f64 y) x) x)))) | |
| cost-diff | 7232 | (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (neg.f64 y) x) x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (tan.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) x))) | |
| cost-diff | 0 | (/.f64 (tan.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| cost-diff | 640 | (/.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 y y)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (cos.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) | |
| cost-diff | 12928 | (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 368 |
| 0 | 94 | 372 |
| 1 | 165 | 339 |
| 2 | 420 | 293 |
| 3 | 1731 | 277 |
| 4 | 3997 | 277 |
| 5 | 6328 | 277 |
| 6 | 7588 | 277 |
| 0 | 8058 | 275 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
(cos.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) y) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
y |
#s(literal -1/2 binary64) |
#s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
(*.f64 (*.f64 x x) #s(literal 1/8 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/8 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
#s(literal 1 binary64) |
(*.f64 y y) |
y |
(/.f64 (tan.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) x))) |
(/.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) x)) |
(*.f64 x x) |
x |
(*.f64 (*.f64 #s(literal 2 binary64) y) x) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(*.f64 y #s(literal 2 binary64)) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (neg.f64 y) x) 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 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (neg.f64 y) x) x))) |
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (neg.f64 y) x) x)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal -1/2 binary64) |
(*.f64 (*.f64 (neg.f64 y) x) x) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 (*.f64 x x) (neg.f64 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 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 (*.f64 x x) (neg.f64 y)))) |
(/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 (*.f64 x x) (neg.f64 y))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64)))) |
(pow.f64 x #s(literal 3/2 binary64)) |
#s(literal 3/2 binary64) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64))) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 x x) (neg.f64 y)) |
(*.f64 x x) |
(neg.f64 y) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
#s(literal 1 binary64) |
(cos.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) y) |
(*.f64 y (/.f64 #s(literal 2 binary64) x)) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
y |
#s(literal -1/2 binary64) |
#s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64))) |
#s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (fma.f64 (/.f64 (/.f64 x y) y) (*.f64 #s(literal 1/8 binary64) x) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (/.f64 x y) y) (*.f64 #s(literal 1/8 binary64) x) #s(literal 1 binary64)) |
(*.f64 (*.f64 x x) #s(literal 1/8 binary64)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(*.f64 x x) |
x |
#s(literal 1/8 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
#s(literal 1 binary64) |
(*.f64 y y) |
y |
(/.f64 (tan.f64 (/.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 (/.f64 #s(literal -1/2 binary64) y) x)) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(tan.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) x))) |
(tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(/.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(*.f64 x x) |
x |
(*.f64 (*.f64 #s(literal 2 binary64) y) x) |
(*.f64 (*.f64 y #s(literal 2 binary64)) x) |
(*.f64 #s(literal 2 binary64) y) |
(*.f64 y #s(literal 2 binary64)) |
#s(literal 2 binary64) |
y |
(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 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (neg.f64 y) x) x)))) |
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(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)) |
y |
#s(literal 2 binary64) |
(sin.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (neg.f64 y) x) x))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (neg.f64 y) x) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal -1/2 binary64) |
(*.f64 (*.f64 (neg.f64 y) x) x) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 (*.f64 x x) (neg.f64 y))))) |
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(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)) |
y |
#s(literal 2 binary64) |
(sin.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 (*.f64 x x) (neg.f64 y)))) |
(sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) |
(/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 (*.f64 x x) (neg.f64 y))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) y) x) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3/2 binary64)) |
#s(literal 3/2 binary64) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64))) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 x x) (neg.f64 y)) |
(*.f64 (*.f64 (neg.f64 y) x) x) |
(*.f64 x x) |
(neg.f64 y) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 7.859812478594069 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 (*.f64 x x) (neg.f64 y))))) | |
| accuracy | 27.770747530801223 | (sin.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 (*.f64 x x) (neg.f64 y)))) | |
| accuracy | 28.378822204722667 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 38.15627634667559 | (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 (*.f64 x x) (neg.f64 y))) | |
| accuracy | 7.668054032575585 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (neg.f64 y) x) x)))) | |
| accuracy | 27.76452759789793 | (sin.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (neg.f64 y) x) x))) | |
| accuracy | 28.378822204722667 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 36.985852455412676 | (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (neg.f64 y) x) x)) | |
| accuracy | 7.668054032575585 | (/.f64 (tan.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| accuracy | 25.01303394237423 | (/.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) x)) | |
| accuracy | 27.76452759789793 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 28.378822204722667 | (tan.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) x))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.4134800660711738 | (/.f64 #s(literal 1 binary64) (*.f64 y y)) | |
| accuracy | 12.67995333438375 | (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64)) | |
| accuracy | 31.49435004663356 | #s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64))) | |
| accuracy | 0.2109375 | (*.f64 (/.f64 #s(literal 2 binary64) x) y) | |
| accuracy | 0.4075775390737681 | (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| accuracy | 14.47315344796759 | (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) | |
| accuracy | 27.913525258057394 | (cos.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
| 220.0ms | 121× | 1 | valid |
| 63.0ms | 135× | 0 | valid |
Compiled 358 to 59 computations (83.5% saved)
ival-mult: 90.0ms (36.4% of total)ival-pow: 42.0ms (17% of total)ival-div: 41.0ms (16.6% of total)ival-sin: 35.0ms (14.1% of total)adjust: 13.0ms (5.3% of total)ival-tan: 10.0ms (4% of total)ival-cos: 6.0ms (2.4% of total)ival-pow2: 4.0ms (1.6% of total)ival-add: 4.0ms (1.6% of total)exact: 1.0ms (0.4% of total)ival-neg: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (cos.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (cos.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) (patch (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64))) (patch #s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) x)) (patch (/.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (tan.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ()) |
#s(alt (tan.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) x))) (patch (tan.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (neg.f64 y) x) x)) (patch (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (neg.f64 y) x) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (neg.f64 y) x) x)))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (neg.f64 y) x) x)))) #<representation binary64>) () ()) |
#s(alt (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 x (*.f64 y #s(literal 2 binary64))) (patch (/.f64 x (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 (*.f64 x x) (neg.f64 y))) (patch (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 (*.f64 x x) (neg.f64 y))) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (patch (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 (*.f64 x x) (neg.f64 y))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 (*.f64 x x) (neg.f64 y))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 2 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 2 binary64) x) y) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (sin.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (neg.f64 y) x) x))) (patch (sin.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (neg.f64 y) x) x))) #<representation binary64>) () ()) |
#s(alt (sin.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 (*.f64 x x) (neg.f64 y)))) (patch (sin.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 (*.f64 x x) (neg.f64 y)))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* x (pow (sqrt 1/2) 2)) y) (taylor 0 y) (#s(alt (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (pow (sqrt 1/2) 2)) y) (taylor 0 y) (#s(alt (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (pow (sqrt 1/2) 2)) y) (taylor 0 y) (#s(alt (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (pow (sqrt 1/2) 2)) y) (taylor 0 y) (#s(alt (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (taylor 0 y) (#s(alt (cos.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (cos.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (taylor 0 y) (#s(alt (cos.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (cos.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (taylor 0 y) (#s(alt (cos.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (cos.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (taylor 0 y) (#s(alt (cos.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (cos.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ x y)) (sqrt 1/2)) (taylor 0 y) (#s(alt (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) (patch (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ x y)) (sqrt 1/2)) (taylor 0 y) (#s(alt (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) (patch (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ x y)) (sqrt 1/2)) (taylor 0 y) (#s(alt (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) (patch (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ x y)) (sqrt 1/2)) (taylor 0 y) (#s(alt (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) (patch (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) (taylor 0 y) (#s(alt #s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64))) (patch #s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) (taylor 0 y) (#s(alt #s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64))) (patch #s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) (taylor 0 y) (#s(alt #s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64))) (patch #s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) (taylor 0 y) (#s(alt #s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64))) (patch #s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) x)) (patch (/.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) x)) (patch (/.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) x)) (patch (/.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) x)) (patch (/.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 (tan.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 (tan.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 (tan.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 24.0ms | y | @ | 0 | ((pow (pow (* (/ 2 x) y) -1/2) 2) (/ 1 (cos (pow (pow (* (/ 2 x) y) -1/2) 2))) (cos (pow (pow (* (/ 2 x) y) -1/2) 2)) (pow (* (/ 2 x) y) -1/2) (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (* (* x x) 1/8) (* x x) (/ 1 (* y y)) (/ (* x x) (* (* 2 y) x)) (/ (tan (/ (* x x) (* (* 2 y) x))) (sin (/ x (* y 2)))) (tan (/ (* x x) (* (* 2 y) x))) (/ (* (pow x 3) -1/2) (* (* (neg y) x) x)) (/ (tan (/ x (* y 2))) (sin (/ (* (pow x 3) -1/2) (* (* (neg y) x) x)))) (tan (/ x (* y 2))) (/ x (* y 2)) (/ (* (pow x 3/2) (* 1/2 (pow x 3/2))) (* (* x x) (neg y))) (* (pow x 3/2) (* 1/2 (pow x 3/2))) (/ (tan (/ x (* y 2))) (sin (/ (* (pow x 3/2) (* 1/2 (pow x 3/2))) (* (* x x) (neg y))))) (* (/ 2 x) y) (+ (* (* (* x x) 1/8) (/ 1 (* y y))) 1) (sin (/ x (* y 2))) (sin (/ (* (pow x 3) -1/2) (* (* (neg y) x) x))) (sin (/ (* (pow x 3/2) (* 1/2 (pow x 3/2))) (* (* x x) (neg y))))) |
| 16.0ms | x | @ | -inf | ((pow (pow (* (/ 2 x) y) -1/2) 2) (/ 1 (cos (pow (pow (* (/ 2 x) y) -1/2) 2))) (cos (pow (pow (* (/ 2 x) y) -1/2) 2)) (pow (* (/ 2 x) y) -1/2) (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (* (* x x) 1/8) (* x x) (/ 1 (* y y)) (/ (* x x) (* (* 2 y) x)) (/ (tan (/ (* x x) (* (* 2 y) x))) (sin (/ x (* y 2)))) (tan (/ (* x x) (* (* 2 y) x))) (/ (* (pow x 3) -1/2) (* (* (neg y) x) x)) (/ (tan (/ x (* y 2))) (sin (/ (* (pow x 3) -1/2) (* (* (neg y) x) x)))) (tan (/ x (* y 2))) (/ x (* y 2)) (/ (* (pow x 3/2) (* 1/2 (pow x 3/2))) (* (* x x) (neg y))) (* (pow x 3/2) (* 1/2 (pow x 3/2))) (/ (tan (/ x (* y 2))) (sin (/ (* (pow x 3/2) (* 1/2 (pow x 3/2))) (* (* x x) (neg y))))) (* (/ 2 x) y) (+ (* (* (* x x) 1/8) (/ 1 (* y y))) 1) (sin (/ x (* y 2))) (sin (/ (* (pow x 3) -1/2) (* (* (neg y) x) x))) (sin (/ (* (pow x 3/2) (* 1/2 (pow x 3/2))) (* (* x x) (neg y))))) |
| 7.0ms | y | @ | -inf | ((pow (pow (* (/ 2 x) y) -1/2) 2) (/ 1 (cos (pow (pow (* (/ 2 x) y) -1/2) 2))) (cos (pow (pow (* (/ 2 x) y) -1/2) 2)) (pow (* (/ 2 x) y) -1/2) (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (* (* x x) 1/8) (* x x) (/ 1 (* y y)) (/ (* x x) (* (* 2 y) x)) (/ (tan (/ (* x x) (* (* 2 y) x))) (sin (/ x (* y 2)))) (tan (/ (* x x) (* (* 2 y) x))) (/ (* (pow x 3) -1/2) (* (* (neg y) x) x)) (/ (tan (/ x (* y 2))) (sin (/ (* (pow x 3) -1/2) (* (* (neg y) x) x)))) (tan (/ x (* y 2))) (/ x (* y 2)) (/ (* (pow x 3/2) (* 1/2 (pow x 3/2))) (* (* x x) (neg y))) (* (pow x 3/2) (* 1/2 (pow x 3/2))) (/ (tan (/ x (* y 2))) (sin (/ (* (pow x 3/2) (* 1/2 (pow x 3/2))) (* (* x x) (neg y))))) (* (/ 2 x) y) (+ (* (* (* x x) 1/8) (/ 1 (* y y))) 1) (sin (/ x (* y 2))) (sin (/ (* (pow x 3) -1/2) (* (* (neg y) x) x))) (sin (/ (* (pow x 3/2) (* 1/2 (pow x 3/2))) (* (* x x) (neg y))))) |
| 6.0ms | y | @ | inf | ((pow (pow (* (/ 2 x) y) -1/2) 2) (/ 1 (cos (pow (pow (* (/ 2 x) y) -1/2) 2))) (cos (pow (pow (* (/ 2 x) y) -1/2) 2)) (pow (* (/ 2 x) y) -1/2) (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (* (* x x) 1/8) (* x x) (/ 1 (* y y)) (/ (* x x) (* (* 2 y) x)) (/ (tan (/ (* x x) (* (* 2 y) x))) (sin (/ x (* y 2)))) (tan (/ (* x x) (* (* 2 y) x))) (/ (* (pow x 3) -1/2) (* (* (neg y) x) x)) (/ (tan (/ x (* y 2))) (sin (/ (* (pow x 3) -1/2) (* (* (neg y) x) x)))) (tan (/ x (* y 2))) (/ x (* y 2)) (/ (* (pow x 3/2) (* 1/2 (pow x 3/2))) (* (* x x) (neg y))) (* (pow x 3/2) (* 1/2 (pow x 3/2))) (/ (tan (/ x (* y 2))) (sin (/ (* (pow x 3/2) (* 1/2 (pow x 3/2))) (* (* x x) (neg y))))) (* (/ 2 x) y) (+ (* (* (* x x) 1/8) (/ 1 (* y y))) 1) (sin (/ x (* y 2))) (sin (/ (* (pow x 3) -1/2) (* (* (neg y) x) x))) (sin (/ (* (pow x 3/2) (* 1/2 (pow x 3/2))) (* (* x x) (neg y))))) |
| 6.0ms | x | @ | 0 | ((pow (pow (* (/ 2 x) y) -1/2) 2) (/ 1 (cos (pow (pow (* (/ 2 x) y) -1/2) 2))) (cos (pow (pow (* (/ 2 x) y) -1/2) 2)) (pow (* (/ 2 x) y) -1/2) (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (* (* x x) 1/8) (* x x) (/ 1 (* y y)) (/ (* x x) (* (* 2 y) x)) (/ (tan (/ (* x x) (* (* 2 y) x))) (sin (/ x (* y 2)))) (tan (/ (* x x) (* (* 2 y) x))) (/ (* (pow x 3) -1/2) (* (* (neg y) x) x)) (/ (tan (/ x (* y 2))) (sin (/ (* (pow x 3) -1/2) (* (* (neg y) x) x)))) (tan (/ x (* y 2))) (/ x (* y 2)) (/ (* (pow x 3/2) (* 1/2 (pow x 3/2))) (* (* x x) (neg y))) (* (pow x 3/2) (* 1/2 (pow x 3/2))) (/ (tan (/ x (* y 2))) (sin (/ (* (pow x 3/2) (* 1/2 (pow x 3/2))) (* (* x x) (neg y))))) (* (/ 2 x) y) (+ (* (* (* x x) 1/8) (/ 1 (* y y))) 1) (sin (/ x (* y 2))) (sin (/ (* (pow x 3) -1/2) (* (* (neg y) x) x))) (sin (/ (* (pow x 3/2) (* 1/2 (pow x 3/2))) (* (* x x) (neg y))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 624 | 8362 |
| 1 | 1905 | 7780 |
| 2 | 6784 | 7760 |
| 0 | 8071 | 7403 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (pow (sqrt 1/2) 2)) y) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y))) |
(/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y))) |
(/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y))) |
(/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y))) |
(cos (/ (* x (pow (sqrt 1/2) 2)) y)) |
(cos (/ (* x (pow (sqrt 1/2) 2)) y)) |
(cos (/ (* x (pow (sqrt 1/2) 2)) y)) |
(cos (/ (* x (pow (sqrt 1/2) 2)) y)) |
(* (sqrt (/ x y)) (sqrt 1/2)) |
(* (sqrt (/ x y)) (sqrt 1/2)) |
(* (sqrt (/ x y)) (sqrt 1/2)) |
(* (sqrt (/ x y)) (sqrt 1/2)) |
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) |
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) |
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) |
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (* -1/2 (/ x y))))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (* -1/2 (/ x y))))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (* -1/2 (/ x y))))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (* -1/2 (/ x y))))) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) |
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) |
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* -1/2 (/ x y))) |
(sin (* -1/2 (/ x y))) |
(sin (* -1/2 (/ x y))) |
(sin (* -1/2 (/ x y))) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
1 |
(+ 1 (* 1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 4)) (pow y 2)))) |
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(- (+ 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 (* -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))))) |
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(* (sqrt (/ x y)) (sqrt 1/2)) |
(* (sqrt (/ x y)) (sqrt 1/2)) |
(* (sqrt (/ x y)) (sqrt 1/2)) |
(* (sqrt (/ x y)) (sqrt 1/2)) |
1 |
(+ 1 (* 2 (/ (- (* -1/48 (pow x 2)) (* -1/12 (pow x 2))) (pow y 2)))) |
(+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 2)) (* -1/12 (pow x 2))) (pow y 2))) (* 2 (/ (- (* 1/3840 (pow x 4)) (+ (* -1/6 (* (pow x 2) (- (* -1/48 (pow x 2)) (* -1/12 (pow x 2))))) (* 1/240 (pow x 4)))) (pow y 4))))) |
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(* 1/2 (/ x y)) |
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1 |
(- (+ 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))))))))) |
(* 1/2 (/ x y)) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y) |
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(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
1 |
(- (+ 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))))))))) |
(* 1/2 (/ x y)) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/768 (/ (pow x 5) (pow y 4)))))) y) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5))))) (pow y 6))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (* 1/384 (/ (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 6))))))))) y) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
-1 |
(- (* -2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ 1 (* 1/24 (/ (pow x 2) (pow y 2))))) |
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(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
1 |
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(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
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(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
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(/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y) |
(/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y) |
(/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y) |
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1 |
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1 |
(+ 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)))))) |
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(* (sqrt (/ x y)) (* (sqrt -1) (sqrt -1/2))) |
(* (sqrt (/ x y)) (* (sqrt -1) (sqrt -1/2))) |
(* (sqrt (/ x y)) (* (sqrt -1) (sqrt -1/2))) |
1 |
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1 |
(- (+ 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 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
1 |
(- (+ 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)))))) |
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(* 1/2 (/ x y)) |
(* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y)) |
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
-1 |
(- (* 2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))) (+ 1 (* 1/24 (/ (pow x 2) (pow y 2))))) |
(- (+ (* 2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* 2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (+ 1 (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* 1/24 (pow x 2)))) (pow y 4))) (+ (* -1/1920 (/ (pow x 4) (pow y 4))) (* 1/24 (/ (pow x 2) (pow y 2))))))) |
(- (+ (* 2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* 2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ 1 (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* 1/24 (pow x 2))))) (* -1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* 1/24 (pow x 2)))) (pow y 4))) (+ (* -1/1920 (/ (pow x 4) (pow y 4))) (+ (* 1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* 1/24 (pow x 2)))) (pow y 6))) (* 1/24 (/ (pow x 2) (pow y 2)))))))))) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(* 1/2 (/ x y)) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
(* 1/2 (/ x y)) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
(* -1/2 (/ x y)) |
(* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)) |
(* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)) |
(* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
1 |
(+ 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 (* -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)))))))) |
(* (sqrt (/ x y)) (sqrt 1/2)) |
(* (sqrt (/ x y)) (sqrt 1/2)) |
(* (sqrt (/ x y)) (sqrt 1/2)) |
(* (sqrt (/ x y)) (sqrt 1/2)) |
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)))))) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x 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)))))) |
(* 1/2 (/ x y)) |
(* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x 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)))))) |
(* 1/2 (/ x y)) |
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(* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* 1/2 (/ x y)) |
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(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* 1/2 (pow x 3)) |
(* 1/2 (pow x 3)) |
(* 1/2 (pow x 3)) |
(* 1/2 (pow x 3)) |
-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 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(* 1/2 (/ x y)) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* 1/2 (/ x y)) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
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(* x (- (* (pow x 2) (+ (* -1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y))) |
(/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y))) |
(/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y))) |
(/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y))) |
(cos (/ (* x (pow (sqrt 1/2) 2)) y)) |
(cos (/ (* x (pow (sqrt 1/2) 2)) y)) |
(cos (/ (* x (pow (sqrt 1/2) 2)) y)) |
(cos (/ (* x (pow (sqrt 1/2) 2)) y)) |
(* (sqrt (/ x y)) (sqrt 1/2)) |
(* (sqrt (/ x y)) (sqrt 1/2)) |
(* (sqrt (/ x y)) (sqrt 1/2)) |
(* (sqrt (/ x y)) (sqrt 1/2)) |
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) |
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) |
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) |
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* 1/2 (pow x 3)) |
(* 1/2 (pow x 3)) |
(* 1/2 (pow x 3)) |
(* 1/2 (pow x 3)) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (* -1/2 (/ x y))))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (* -1/2 (/ x y))))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (* -1/2 (/ x y))))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (* -1/2 (/ x y))))) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* -1/2 (/ x y))) |
(sin (* -1/2 (/ x y))) |
(sin (* -1/2 (/ x y))) |
(sin (* -1/2 (/ x y))) |
(* -1 (/ (* x (pow (sqrt -1/2) 2)) y)) |
(* -1 (/ (* x (pow (sqrt -1/2) 2)) y)) |
(* -1 (/ (* x (pow (sqrt -1/2) 2)) y)) |
(* -1 (/ (* x (pow (sqrt -1/2) 2)) y)) |
(/ 1 (cos (* -1 (/ (* x (pow (sqrt -1/2) 2)) y)))) |
(/ 1 (cos (* -1 (/ (* x (pow (sqrt -1/2) 2)) y)))) |
(/ 1 (cos (* -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))) |
(cos (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) |
(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 (* (sqrt (/ x y)) (* (sqrt -1) (sqrt -1/2)))) |
(* -1 (* (sqrt (/ x y)) (* (sqrt -1) (sqrt -1/2)))) |
(* -1 (* (sqrt (/ x y)) (* (sqrt -1) (sqrt -1/2)))) |
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) |
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) |
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) |
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ (* x (pow (sqrt -1) 2)) y)) |
(* 1/2 (/ (* x (pow (sqrt -1) 2)) y)) |
(* 1/2 (/ (* x (pow (sqrt -1) 2)) y)) |
(* 1/2 (/ (* x (pow (sqrt -1) 2)) y)) |
(* -1/2 (* (pow x 3) (pow (sqrt -1) 2))) |
(* -1/2 (* (pow x 3) (pow (sqrt -1) 2))) |
(* -1/2 (* (pow x 3) (pow (sqrt -1) 2))) |
(* -1/2 (* (pow x 3) (pow (sqrt -1) 2))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (* 1/2 (/ (* x (pow (sqrt -1) 2)) y))))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (* 1/2 (/ (* x (pow (sqrt -1) 2)) y))))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (* 1/2 (/ (* x (pow (sqrt -1) 2)) y))))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (* 1/2 (/ (* x (pow (sqrt -1) 2)) y))))) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ (* x (pow (sqrt -1) 2)) y))) |
(sin (* 1/2 (/ (* x (pow (sqrt -1) 2)) y))) |
(sin (* 1/2 (/ (* x (pow (sqrt -1) 2)) y))) |
(sin (* 1/2 (/ (* x (pow (sqrt -1) 2)) y))) |
| Outputs |
|---|
(/ (* x (pow (sqrt 1/2) 2)) y) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(cos (/ (* x (pow (sqrt 1/2) 2)) y)) |
(cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) |
(cos (/ (* x (pow (sqrt 1/2) 2)) y)) |
(cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) |
(cos (/ (* x (pow (sqrt 1/2) 2)) y)) |
(cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) |
(cos (/ (* x (pow (sqrt 1/2) 2)) y)) |
(cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) |
(* (sqrt (/ x y)) (sqrt 1/2)) |
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 #s(literal 1/2 binary64))) |
(* (sqrt (/ x y)) (sqrt 1/2)) |
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 #s(literal 1/2 binary64))) |
(* (sqrt (/ x y)) (sqrt 1/2)) |
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 #s(literal 1/2 binary64))) |
(* (sqrt (/ x y)) (sqrt 1/2)) |
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 #s(literal 1/2 binary64))) |
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64)) |
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64)) |
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64)) |
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.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))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.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))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.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))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.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))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* -1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) y) x) |
(* -1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) y) x) |
(* -1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) y) x) |
(* -1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) y) x) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (* -1/2 (/ x y))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (* -1/2 (/ x y))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (* -1/2 (/ x y))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (* -1/2 (/ x y))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(* 2 (/ y x)) |
(*.f64 (/.f64 y x) #s(literal 2 binary64)) |
(* 2 (/ y x)) |
(*.f64 (/.f64 y x) #s(literal 2 binary64)) |
(* 2 (/ y x)) |
(*.f64 (/.f64 y x) #s(literal 2 binary64)) |
(* 2 (/ y x)) |
(*.f64 (/.f64 y x) #s(literal 2 binary64)) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y)) |
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) |
(/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) y) |
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) |
(/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) y) |
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) |
(/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) y) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* -1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) |
(sin (* -1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) |
(sin (* -1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) |
(sin (* -1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
1 |
#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) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) |
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(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ (* x (pow (sqrt -1) 2)) y)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) y) x) |
(* 1/2 (/ (* x (pow (sqrt -1) 2)) y)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) y) x) |
(* 1/2 (/ (* x (pow (sqrt -1) 2)) y)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) y) x) |
(* 1/2 (/ (* x (pow (sqrt -1) 2)) y)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) y) x) |
(* -1/2 (* (pow x 3) (pow (sqrt -1) 2))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) |
(* -1/2 (* (pow x 3) (pow (sqrt -1) 2))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) |
(* -1/2 (* (pow x 3) (pow (sqrt -1) 2))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) |
(* -1/2 (* (pow x 3) (pow (sqrt -1) 2))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (* 1/2 (/ (* x (pow (sqrt -1) 2)) y))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (* 1/2 (/ (* x (pow (sqrt -1) 2)) y))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (* 1/2 (/ (* x (pow (sqrt -1) 2)) y))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (* 1/2 (/ (* x (pow (sqrt -1) 2)) y))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(* 2 (/ y x)) |
(*.f64 (/.f64 y x) #s(literal 2 binary64)) |
(* 2 (/ y x)) |
(*.f64 (/.f64 y x) #s(literal 2 binary64)) |
(* 2 (/ y x)) |
(*.f64 (/.f64 y x) #s(literal 2 binary64)) |
(* 2 (/ y x)) |
(*.f64 (/.f64 y x) #s(literal 2 binary64)) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y)) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ (* x (pow (sqrt -1) 2)) y))) |
(sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) |
(sin (* 1/2 (/ (* x (pow (sqrt -1) 2)) y))) |
(sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) |
(sin (* 1/2 (/ (* x (pow (sqrt -1) 2)) y))) |
(sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) |
(sin (* 1/2 (/ (* x (pow (sqrt -1) 2)) y))) |
(sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 265 |
| 0 | 94 | 229 |
| 1 | 335 | 178 |
| 2 | 1831 | 153 |
| 0 | 8805 | 151 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
(cos.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -1/2 binary64)) |
#s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/8 binary64)) |
(*.f64 x x) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) x)) |
(/.f64 (tan.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) x))) |
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (neg.f64 y) x) x)) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (neg.f64 y) x) x)))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 (*.f64 x x) (neg.f64 y))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64)))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 (*.f64 x x) (neg.f64 y))))) |
(*.f64 (/.f64 #s(literal 2 binary64) x) y) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(sin.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (neg.f64 y) x) x))) |
(sin.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 (*.f64 x x) (neg.f64 y)))) |
| Outputs |
|---|
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Compiled 46 060 to 4 162 computations (91% saved)
131 alts after pruning (124 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 133 | 44 | 2 177 |
| Fresh | 36 | 80 | 116 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 6 | 6 |
| Total | 2 173 | 131 | 2 304 |
| Status | Accuracy | Program |
|---|---|---|
| 53.4% | (pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 41.4% | (/.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))) | |
| 43.3% | (/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 (cos.f64 (/.f64 x y)) (cos.f64 #s(literal 0 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.2% | (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 42.2% | (/.f64 (/.f64 #s(literal -2 binary64) (sin.f64 (/.f64 x y))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) | |
| 38.2% | (/.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 (pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))) | |
| 41.9% | (/.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 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal -1 binary64))) | |
| 40.8% | (/.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 (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))) | |
| 37.7% | (/.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 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))) #s(literal -1 binary64))) | |
| 40.8% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))))) #s(literal 2 binary64)) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) | |
| 37.2% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))))) #s(literal 2 binary64)) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) | |
| 23.5% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))))) #s(literal 2 binary64)) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) | |
| 43.8% | (/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (sin.f64 (/.f64 x y))) | |
| 40.9% | (/.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))))) | |
| 40.8% | (/.f64 (tan.f64 (pow.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x)) #s(literal -1/4 binary64)) #s(literal 4 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 1.7% | (/.f64 (tan.f64 (pow.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 (*.f64 x x) (neg.f64 y))))) | |
| 1.6% | (/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64))))) (sin.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 (*.f64 x x) (neg.f64 y))))) | |
| 37.7% | (/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 21.4% | (/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 31.1% | (/.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))))) | |
| 12.2% | (/.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))))) | |
| 29.2% | (/.f64 (tan.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x) (neg.f64 x)) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 20.4% | (/.f64 (tan.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) x))) (sin.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) x) (*.f64 x x)))) | |
| 4.2% | (/.f64 (tan.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) | |
| 19.1% | (/.f64 (tan.f64 (/.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) y) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 3.6% | (/.f64 (tan.f64 (/.f64 x (/.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))))) | |
| 8.5% | (/.f64 (tan.f64 (/.f64 x (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 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))))) | |
| 5.0% | (/.f64 (tan.f64 (/.f64 x (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 17.5% | (/.f64 (tan.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (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 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y)) #s(literal -1 binary64))))) | |
| 19.9% | (/.f64 (tan.f64 (/.f64 x (/.f64 (*.f64 (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64)) (*.f64 y y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 18.0% | (/.f64 (tan.f64 (/.f64 x (/.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 2 binary64))) #s(literal 3/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 3.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 y y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 20.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 (*.f64 (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 39.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 37.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))) #s(literal -1 binary64)))) | |
| 37.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)))))) | |
| 3.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) y) (sqrt.f64 x)))) | |
| 43.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)))) | |
| 28.5% | (/.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))))) | |
| ✓ | 13.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (neg.f64 y) x) x)))) |
| 6.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (pow.f64 x #s(literal 6 binary64)))) (*.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))))) | |
| 2.3% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 x)) (*.f64 y x)))) | |
| 14.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal -2 binary64))) y))) | |
| 6.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) x)))) | |
| 13.3% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) y)))) | |
| 4.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) | |
| 3.3% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (sqrt.f64 x) (*.f64 (/.f64 y (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64))) x)))) | |
| 27.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) y))))) | |
| ✓ | 43.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 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))))))) | |
| 19.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) | |
| 4.3% | (/.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))))) | |
| ✓ | 41.3% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) |
| 41.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) | |
| 4.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) | |
| 29.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (neg.f64 x) (/.f64 x y))))) | |
| 39.3% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) | |
| 4.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 #s(approx (/ (* (pow x 3/2) (* 1/2 (pow x 3/2))) (* (* x x) (neg y))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) | |
| 39.6% | (/.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))))) | |
| 2.7% | (/.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64))) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))))) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) | |
| 13.8% | (/.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal -1/2 binary64) x))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 12.6% | (/.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1/2 binary64) y)) x)))) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) | |
| 41.3% | (/.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.7% | (/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) | |
| 4.4% | (/.f64 (tan.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) | |
| 41.2% | (/.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))))) | |
| 4.4% | (/.f64 (tan.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) | |
| 24.1% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (*.f64 x (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 4.4% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (neg.f64 x))) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) | |
| 42.7% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 1.9% | (/.f64 (tan.f64 (*.f64 (*.f64 (*.f64 x (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal -3 binary64))) #s(literal 4 binary64)) (*.f64 y y))) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) | |
| 2.0% | (/.f64 (tan.f64 (*.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 x x) y))))) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) | |
| 1.8% | (/.f64 (tan.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (sin.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 (*.f64 x x) (neg.f64 y))))) | |
| 39.7% | (/.f64 (tan.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 4.5% | (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))))) | |
| 44.2% | (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))))) | |
| 30.5% | (/.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) | |
| 23.4% | (/.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64))) (*.f64 (/.f64 (+.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 2 binary64)))) | |
| 55.8% | (/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (pow.f64 (/.f64 (exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) | |
| 20.8% | (/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 x x) y) (neg.f64 (pow.f64 x #s(literal 3 binary64)))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) | |
| 49.7% | (/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) y)) (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) | |
| 56.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (pow.f64 (*.f64 (exp.f64 (log.f64 (/.f64 #s(literal 2 binary64) x))) (exp.f64 (log.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) | |
| 56.5% | (/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x)) #s(literal -1/4 binary64)) #s(literal 4 binary64)))) | |
| 55.6% | (/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64)))) | |
| 56.8% | (/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))) | |
| 56.3% | (/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64))) #s(literal 2 binary64)))) | |
| 55.7% | (/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (exp.f64 (log.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)))) #s(literal 2 binary64)))) | |
| 56.1% | (/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (exp.f64 (log.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y))) #s(literal -1 binary64)))) | |
| 55.7% | (/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)))))) | |
| 56.1% | (/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 #s(approx (pow (* (/ 2 x) y) -1/2) (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) | |
| 49.8% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) y))))) | |
| 50.7% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x))))) | |
| 55.9% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x)) x)))) | |
| 53.1% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64))) x) (sqrt.f64 x))))) | |
| 56.3% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x)) x) x)))) | |
| 45.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1/2 binary64) y)) x))))) | |
| 56.4% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) | |
| ✓ | 56.4% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) |
| 56.4% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x y))))) | |
| 55.6% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64)))))) | |
| 54.7% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))))) | |
| 21.5% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))) | |
| 29.9% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x)) (/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3/4 binary64))) #s(literal 2 binary64))) #s(literal -1/2 binary64)) y)))) | |
| 29.4% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x)) (/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))) #s(literal -1/2 binary64)) y)))) | |
| 42.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) x) (*.f64 x x)))) | |
| 50.0% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 (neg.f64 x) x) y) (/.f64 #s(literal -1/2 binary64) x)))) | |
| 56.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)))) | |
| 56.1% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| 26.7% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (*.f64 x (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal -3 binary64))) #s(literal 4 binary64)) (*.f64 y y)))) | |
| 52.5% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) y)))) | |
| 52.8% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) y)))) | |
| 42.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64))) (/.f64 (neg.f64 x) y))))) | |
| ✓ | 56.3% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
| 42.5% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 x) y) (neg.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)))))))) | |
| 40.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)))))) | |
| 55.8% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))))) | |
| 56.0% | (/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) | |
| 51.1% | (/.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)))) | |
| 4.7% | (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) | |
| 42.2% | (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (sin.f64 (/.f64 x y)))) | |
| 23.8% | (*.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal -3 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (pow.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)) #s(literal -1 binary64)))) | |
| 4.5% | (*.f64 (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) | |
| 42.2% | (*.f64 (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) | |
| 42.0% | (*.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) | |
| 42.2% | (*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) | |
| 2.0% | (exp.f64 (*.f64 (log.f64 (neg.f64 (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))))) #s(literal -1 binary64))) | |
| 43.8% | #s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))) | |
| ✓ | 50.8% | #s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 x (/.f64 x y)) #s(literal 1 binary64))) |
| 6.7% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ (* (pow x 3/2) (* 1/2 (pow x 3/2))) (* (* x x) (neg y))))) #s(literal -1 binary64)) | |
| ✓ | 55.3% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
Compiled 6 555 to 2 840 computations (56.7% saved)
| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ (* (pow x 3/2) (* 1/2 (pow x 3/2))) (* (* x x) (neg y))))) #s(literal -1 binary64)) |
#s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) |
#s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 x (/.f64 x y)) #s(literal 1 binary64))) |
#s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) #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))) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (/.f64 x y)) y) #s(literal 1 binary64)))) |
(/.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 x (*.f64 #s(literal -2 binary64) y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (neg.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) x) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x)) x)))) |
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(approx (tan (/ (* (/ -1/2 y) (neg (* x x))) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 x) (/.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 (neg.f64 x) x) y) (/.f64 #s(literal -1/2 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) (/.f64 (*.f64 x x) x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x)) x) x)))) |
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) y))))) |
(neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (*.f64 x (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal -3 binary64))) #s(literal 4 binary64)) (*.f64 y y)))) |
(*.f64 (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) y))))) |
(/.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 #s(approx (/ (* (pow x 3/2) (* 1/2 (pow x 3/2))) (* (* x x) (neg y))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (sin.f64 (/.f64 x y))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) x) (/.f64 #s(literal 1/2 binary64) (*.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 #s(approx (pow (* (/ 2 x) y) -1/2) (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 #s(literal 1/2 binary64)))) #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 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) |
(*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (/.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(/.f64 (tan.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (sin.f64 (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64))) (/.f64 (neg.f64 x) y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) y)))) |
(/.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) 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 (/.f64 #s(literal 2 binary64) x) y)))) |
(/.f64 (tan.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) |
(/.f64 (tan.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (neg.f64 x))) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) x))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.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 #s(literal -1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) |
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) |
(/.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 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)))) |
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (/.f64 #s(literal -2 binary64) (sin.f64 (/.f64 x y))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 (pow.f64 x #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 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (neg.f64 x) (/.f64 x y))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x))) |
(/.f64 (tan.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x) (neg.f64 x)) 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))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 x) y) (neg.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64))) x) (sqrt.f64 x))))) |
(/.f64 (tan.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) |
(/.f64 (tan.f64 (/.f64 (/.f64 x (/.f64 (*.f64 #s(literal 2 binary64) y) x)) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(approx (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x (/.f64 x y)) (*.f64 #s(literal 2 binary64) y)) x)) (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)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) y) y)))) |
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) y) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (neg.f64 x))) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 (tan.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) x))) (sin.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) x) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal -2 binary64) (sin.f64 (/.f64 x y))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x))))) |
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/24 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y))) y)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(approx (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (*.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) x)) y)) (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)))) #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 x #s(literal 1/2 binary64))) y))) |
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
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(/.f64 (tan.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (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 (/.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 #s(literal 1/2 binary64) (/.f64 y x))) #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 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))))) #s(literal 2 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)))) (sin.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) x)))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 5 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (pow.f64 x #s(literal 6 binary64)))) (*.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (neg.f64 (pow.f64 x #s(literal 6 binary64)))) (*.f64 (*.f64 y x) (pow.f64 x #s(literal 3 binary64))))) (sin.f64 (/.f64 x (*.f64 y #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 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) #s(literal -1 binary64))) |
(/.f64 (tan.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 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 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x y))))) |
(/.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 (/.f64 (neg.f64 x) y) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x)))) #s(literal -1 binary64))) |
(/.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64))) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))))) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) |
(/.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)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (exp.f64 (log.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)))) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (pow.f64 (/.f64 (exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))) #s(literal -1 binary64)))) |
(/.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 #s(literal 1 binary64) (cos.f64 (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x)) (/.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (log.f64 x)) #s(literal -1/2 binary64)) y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x)) (/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3/4 binary64))) #s(literal 2 binary64))) #s(literal -1/2 binary64)) y)))) |
(/.f64 (/.f64 (-.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 (neg.f64 x) y))) (+.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (/.f64 (neg.f64 x) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (/.f64 (pow.f64 (cos.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))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))) (/.f64 #s(literal -1 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))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #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)))) (sin.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)))))) |
(/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #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 (pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) #s(literal -1 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 (pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal -3 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (pow.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (tan.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (sin.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 (*.f64 x x) (neg.f64 y))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))))) #s(literal 2 binary64)) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 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 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))) #s(literal -1 binary64))) |
(/.f64 (tan.f64 (pow.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 (*.f64 x x) (neg.f64 y))))) |
(/.f64 (tan.f64 (/.f64 x (/.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 2 binary64))) #s(literal 3/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (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 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y)) #s(literal -1 binary64))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))))) #s(literal 2 binary64)) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64))) (*.f64 (/.f64 (+.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 2 binary64)))) |
(/.f64 (tan.f64 (/.f64 x (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 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 (/.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 (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))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))))) #s(literal 2 binary64)) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) |
(/.f64 (*.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)) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 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 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))))) (*.f64 (neg.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (pow.f64 (*.f64 (exp.f64 (log.f64 (/.f64 #s(literal 2 binary64) x))) (exp.f64 (log.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64))))) (sin.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 (*.f64 x x) (neg.f64 y))))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ (* (pow x 3/2) (* 1/2 (pow x 3/2))) (* (* x x) (neg y))))) #s(literal -1 binary64)) |
5 calls:
| 309.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 112.0ms | (*.f64 y #s(literal 2 binary64)) |
| 107.0ms | x |
| 91.0ms | y |
| 66.0ms | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.8% | 1 | x |
| 56.8% | 1 | y |
| 56.8% | 1 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 58.5% | 2 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 56.8% | 1 | (*.f64 y #s(literal 2 binary64)) |
Compiled 23 to 21 computations (8.7% saved)
| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ (* (pow x 3/2) (* 1/2 (pow x 3/2))) (* (* x x) (neg y))))) #s(literal -1 binary64)) |
#s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) |
#s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 x (/.f64 x y)) #s(literal 1 binary64))) |
#s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) #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))) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (/.f64 x y)) y) #s(literal 1 binary64)))) |
(/.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 x (*.f64 #s(literal -2 binary64) y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (neg.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) x) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x)) x)))) |
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(approx (tan (/ (* (/ -1/2 y) (neg (* x x))) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 x) (/.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 (neg.f64 x) x) y) (/.f64 #s(literal -1/2 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) (/.f64 (*.f64 x x) x)))) |
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(/.f64 (tan.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (/.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 x (*.f64 y #s(literal 2 binary64)))) (sin.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 (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))))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))))) |
(/.f64 (tan.f64 (*.f64 (*.f64 (*.f64 x (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal -3 binary64))) #s(literal 4 binary64)) (*.f64 y y))) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 x)) (*.f64 y x)))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) y) (sqrt.f64 x)))) |
(/.f64 (tan.f64 (/.f64 x (/.f64 (*.f64 (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64)) (*.f64 y y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64))) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))))))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (neg.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))))) |
(/.f64 (tan.f64 (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) x) (/.f64 (neg.f64 (pow.f64 x #s(literal 3 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 (sqrt.f64 x) (*.f64 (/.f64 y (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64))) x)))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 (*.f64 (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) 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 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal -1/2 binary64) x))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (*.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 x x) y))))) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 y y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1/2 binary64) y)) x)))) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) |
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ (* (pow x 3/2) (* 1/2 (pow x 3/2))) (* (* x x) (neg y))))) #s(literal -1 binary64)) |
5 calls:
| 72.0ms | (*.f64 y #s(literal 2 binary64)) |
| 61.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 49.0ms | x |
| 44.0ms | y |
| 40.0ms | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.5% | 1 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 56.5% | 1 | x |
| 56.5% | 1 | y |
| 56.5% | 1 | (*.f64 y #s(literal 2 binary64)) |
| 58.2% | 2 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
Compiled 23 to 21 computations (8.7% saved)
| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ (* (pow x 3/2) (* 1/2 (pow x 3/2))) (* (* x x) (neg y))))) #s(literal -1 binary64)) |
#s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) |
#s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 x (/.f64 x y)) #s(literal 1 binary64))) |
#s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) #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))) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (/.f64 x y)) y) #s(literal 1 binary64)))) |
(/.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 x (*.f64 #s(literal -2 binary64) y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ (* (pow x 3/2) (* 1/2 (pow x 3/2))) (* (* x x) (neg y))))) #s(literal -1 binary64)) |
1 calls:
| 7.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.1% | 2 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
Compiled 5 to 5 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ (* (pow x 3/2) (* 1/2 (pow x 3/2))) (* (* x x) (neg y))))) #s(literal -1 binary64)) |
#s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) |
#s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 x (/.f64 x y)) #s(literal 1 binary64))) |
#s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) #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))) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (/.f64 x y)) y) #s(literal 1 binary64)))) |
(/.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 x (*.f64 #s(literal -2 binary64) y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
5 calls:
| 7.0ms | x |
| 5.0ms | y |
| 5.0ms | (*.f64 y #s(literal 2 binary64)) |
| 4.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 4.0ms | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.3% | 1 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 56.3% | 1 | x |
| 56.3% | 1 | y |
| 56.3% | 1 | (*.f64 y #s(literal 2 binary64)) |
| 58.0% | 2 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
Compiled 23 to 21 computations (8.7% saved)
| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ (* (pow x 3/2) (* 1/2 (pow x 3/2))) (* (* x x) (neg y))))) #s(literal -1 binary64)) |
#s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) |
#s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 x (/.f64 x y)) #s(literal 1 binary64))) |
#s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) #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))) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (/.f64 x y)) y) #s(literal 1 binary64)))) |
(/.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 x (*.f64 #s(literal -2 binary64) y)))) |
| Outputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
1 calls:
| 4.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.0% | 2 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
Compiled 5 to 5 computations (0% saved)
Total -34.6b remaining (-121.1%)
Threshold costs -34.6b (-121.1%)
| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ (* (pow x 3/2) (* 1/2 (pow x 3/2))) (* (* x x) (neg y))))) #s(literal -1 binary64)) |
#s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) |
#s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 x (/.f64 x y)) #s(literal 1 binary64))) |
#s(approx (/ (* (/ 1 (+ (sin 0) (sin (/ x y)))) 2) (pow (sin (/ x (* 2 y))) -1)) #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))) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (/.f64 x y)) y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ -1/2 (/ y x))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
5 calls:
| 11.0ms | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 8.0ms | (*.f64 y #s(literal 2 binary64)) |
| 4.0ms | x |
| 3.0ms | y |
| 3.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.3% | 1 | y |
| 55.3% | 1 | (*.f64 y #s(literal 2 binary64)) |
| 55.3% | 1 | x |
| 55.3% | 1 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 55.3% | 1 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
Compiled 23 to 21 computations (8.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.4551360069205476e+247 | 5.0017245105474025e+249 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.4551360069205476e+247 | 5.0017245105474025e+249 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.0017245105474025e+249 | 3.083342381533906e+252 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.924754919433959e+27 | 1.8527098712971794e+28 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.924754919433959e+27 | 1.8527098712971794e+28 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 225 |
| 1 | 69 | 225 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 100000000000000004529828046727141746947240184637542665783753313900757015278809664236212362908068632088130911440353246844005893434193998802215452930446088047790723234500178792233381012913302936013527818404707654908851814405278709728676750356293615616 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ (* (pow x 3/2) (* 1/2 (pow x 3/2))) (* (* x x) (neg y))))) #s(literal -1 binary64))) |
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 100000000000000004529828046727141746947240184637542665783753313900757015278809664236212362908068632088130911440353246844005893434193998802215452930446088047790723234500178792233381012913302936013527818404707654908851814405278709728676750356293615616 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ (* (pow x 3/2) (* 1/2 (pow x 3/2))) (* (* x x) (neg y))))) #s(literal -1 binary64))) |
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 9999999999999999210968330832147026575540427693752222372866517696718412616639336002780474141705354144110364081118142324010404785714541315284281257752757291623642503417072967859774120474650369161140553335192009630674782085554695972153397552576515276800 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ (* (pow x 3/2) (* 1/2 (pow x 3/2))) (* (* x x) (neg y))))) #s(literal -1 binary64))) |
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 9999999999999999583119736832 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 9999999999999999583119736832 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
| Outputs |
|---|
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 100000000000000004529828046727141746947240184637542665783753313900757015278809664236212362908068632088130911440353246844005893434193998802215452930446088047790723234500178792233381012913302936013527818404707654908851814405278709728676750356293615616 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ (* (pow x 3/2) (* 1/2 (pow x 3/2))) (* (* x x) (neg y))))) #s(literal -1 binary64))) |
(if (<=.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 100000000000000004529828046727141746947240184637542665783753313900757015278809664236212362908068632088130911440353246844005893434193998802215452930446088047790723234500178792233381012913302936013527818404707654908851814405278709728676750356293615616 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) #s(literal 2 binary64)))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ (* (pow x 3/2) (* 1/2 (pow x 3/2))) (* (* x x) (neg y))))) #s(literal -1 binary64))) |
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 100000000000000004529828046727141746947240184637542665783753313900757015278809664236212362908068632088130911440353246844005893434193998802215452930446088047790723234500178792233381012913302936013527818404707654908851814405278709728676750356293615616 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ (* (pow x 3/2) (* 1/2 (pow x 3/2))) (* (* x x) (neg y))))) #s(literal -1 binary64))) |
(if (<=.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 100000000000000004529828046727141746947240184637542665783753313900757015278809664236212362908068632088130911440353246844005893434193998802215452930446088047790723234500178792233381012913302936013527818404707654908851814405278709728676750356293615616 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ (* (pow x 3/2) (* 1/2 (pow x 3/2))) (* (* x x) (neg y))))) #s(literal -1 binary64))) |
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 9999999999999999210968330832147026575540427693752222372866517696718412616639336002780474141705354144110364081118142324010404785714541315284281257752757291623642503417072967859774120474650369161140553335192009630674782085554695972153397552576515276800 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ (* (pow x 3/2) (* 1/2 (pow x 3/2))) (* (* x x) (neg y))))) #s(literal -1 binary64))) |
(if (<=.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 9999999999999999210968330832147026575540427693752222372866517696718412616639336002780474141705354144110364081118142324010404785714541315284281257752757291623642503417072967859774120474650369161140553335192009630674782085554695972153397552576515276800 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ (* (pow x 3/2) (* 1/2 (pow x 3/2))) (* (* x x) (neg y))))) #s(literal -1 binary64))) |
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 9999999999999999583119736832 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 9999999999999999583119736832 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 9999999999999999583119736832 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 9999999999999999583119736832 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 243 |
| 0 | 92 | 172 |
| 1 | 344 | 161 |
| 2 | 2042 | 154 |
| 0 | 8952 | 154 |
| 0 | 316 | 2054 |
| 1 | 950 | 2028 |
| 2 | 3392 | 1926 |
| 0 | 9111 | 1817 |
| 0 | 46 | 202 |
| 0 | 79 | 166 |
| 1 | 243 | 153 |
| 2 | 1234 | 128 |
| 0 | 9337 | 128 |
| 0 | 624 | 8362 |
| 1 | 1905 | 7780 |
| 2 | 6784 | 7760 |
| 0 | 8071 | 7403 |
| 0 | 58 | 265 |
| 0 | 94 | 229 |
| 1 | 335 | 178 |
| 2 | 1831 | 153 |
| 0 | 8805 | 151 |
| 0 | 8 | 33 |
| 0 | 13 | 33 |
| 1 | 33 | 33 |
| 2 | 142 | 28 |
| 3 | 788 | 28 |
| 0 | 8171 | 28 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 340 to 231 computations (32.1% saved)
Compiled 388 to 220 computations (43.3% saved)
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