
Time bar (total: 11.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 6 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 7 |
| 15.6% | 15.6% | 84.3% | 0.1% | 0% | 0% | 0% | 8 |
| 28.1% | 28.1% | 71.8% | 0.1% | 0% | 0% | 0% | 9 |
| 30.5% | 30.4% | 69.5% | 0.1% | 0% | 0% | 0% | 10 |
| 38.3% | 38.2% | 61.7% | 0.1% | 0% | 0% | 0% | 11 |
| 39.6% | 39.6% | 60.3% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 15 to 10 computations (33.3% saved)
| 1.1s | 4 001× | 1 | valid |
| 711.0ms | 4 255× | 0 | valid |
ival-mult: 429.0ms (28.8% of total)ival-tan: 416.0ms (27.9% of total)ival-sin: 281.0ms (18.9% of total)adjust: 186.0ms (12.5% of total)ival-div: 165.0ms (11.1% of total)ival-true: 6.0ms (0.4% of total)exact: 5.0ms (0.3% of total)ival-assert: 3.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 145 | 42 | (-212873511788396.47 4.608992836316943e+158) | 91 | (-5.914281962688663e+237 5.029152742944316e-289) | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| 144 | 42 | (-212873511788396.47 4.608992836316943e+158) | 90 | (-5.914281962688663e+237 5.029152742944316e-289) | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| 30 | 27 | (-9.11386991319855e-75 3.4056465360094827e-301) | 30 | (1.3299245475840756e-234 3.562113699656527e+185) | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 y #s(literal 2 binary64)) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sin.f64 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | sensitivity | 91 | 0 |
tan.f64 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | sensitivity | 91 | 0 |
/.f64 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | u/u | 27 | 0 |
| ↳ | (/.f64 x (*.f64 y #s(literal 2 binary64))) | underflow | 30 | |
| ↳ | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | underflow | 30 | |
| ↳ | (/.f64 x (*.f64 y #s(literal 2 binary64))) | underflow | 30 | |
| ↳ | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | underflow | 30 | |
sin.f64 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | cancelation | 5 | 0 |
tan.f64 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | cancellation | 5 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 85 | 90 |
| - | 38 | 43 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 85 | 0 | 90 |
| - | 38 | 0 | 43 |
| number | freq |
|---|---|
| 0 | 133 |
| 1 | 27 |
| 2 | 96 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 54.0ms | 280× | 1 | valid |
| 15.0ms | 232× | 0 | valid |
Compiled 125 to 53 computations (57.6% saved)
ival-tan: 14.0ms (28.6% of total)ival-div: 13.0ms (26.6% of total)ival-sin: 13.0ms (26.6% of total)ival-mult: 4.0ms (8.2% of total)adjust: 3.0ms (6.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
| 80× | associate-/r* |
| 72× | times-frac |
| 66× | sub-neg |
| 66× | div-sub |
| 58× | associate-*l* |
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 |
|---|---|---|
| ▶ | 37.5% | (/.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))))) |
| 12× | lower-/.f32 |
| 8× | lower-/.f64 |
| 4× | lift-/.f64 |
| 4× | lower-*.f32 |
| 4× | associate-/r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 36 |
| 0 | 13 | 36 |
| 1 | 16 | 36 |
| 2 | 18 | 36 |
| 0 | 18 | 36 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
x |
(*.f64 y #s(literal 2 binary64)) |
y |
#s(literal 2 binary64) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| Outputs |
|---|
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
x |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
y |
#s(literal 2 binary64) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 y #s(literal 2 binary64)) | |
| accuracy | 7.453207531524759 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| accuracy | 32.05485181847231 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 32.956377770354024 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| 29.0ms | 140× | 1 | valid |
| 9.0ms | 116× | 0 | valid |
Compiled 38 to 10 computations (73.7% saved)
ival-tan: 12.0ms (42.1% of total)ival-div: 6.0ms (21.1% of total)ival-sin: 6.0ms (21.1% of total)adjust: 2.0ms (7% of total)ival-mult: 2.0ms (7% 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 (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) (taylor -inf x) (#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 -inf x) (#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 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 | |
|---|---|---|---|---|
| 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)))) |
| 3.0ms | y | @ | -inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (sin (/ x (* y 2)))) |
| 3.0ms | y | @ | 0 | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (sin (/ x (* y 2)))) |
| 2.0ms | x | @ | inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (sin (/ x (* y 2)))) |
| 1× | egg-herbie |
| 14 468× | lower-fma.f64 |
| 14 468× | lower-fma.f32 |
| 6 082× | lower-+.f64 |
| 6 082× | lower-+.f32 |
| 5 448× | lower-*.f64 |
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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(- (+ 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))))))))) |
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(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal -1/2 binary64) x)) (neg.f64 y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal -1/2 binary64) x))) (neg.f64 y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal 1/645120 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))))))) (neg.f64 y)) |
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)) |
| 2 672× | lower-*.f32 |
| 2 670× | lower-*.f64 |
| 2 226× | lower-/.f32 |
| 2 222× | lower-/.f64 |
| 1 360× | lower-fma.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 33 |
| 0 | 13 | 33 |
| 1 | 33 | 33 |
| 2 | 142 | 28 |
| 3 | 788 | 28 |
| 0 | 8171 | 28 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(*.f64 y #s(literal 2 binary64)) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.f64 (/.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(*.f64 (/.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64)))) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))) |
(*.f64 (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y)))) #s(literal 2 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1/2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (/.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1/2 binary64)) (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64))) (/.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1/2 binary64)) (neg.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) (/.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1/2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (pow.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(*.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1/2 binary64)) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(*.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1/2 binary64)) (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y)))) #s(literal 2 binary64)) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) (/.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) |
(*.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64))) |
(*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) |
(*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64)))) |
(*.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64))) |
(*.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y)))) #s(literal 2 binary64))) |
(*.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (log.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))) (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64))) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64))) (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64))) (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))) |
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(/.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) |
(/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) |
(/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 1 binary64)) |
(neg.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(fma.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 0 binary64)) |
(fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 1 binary64) #s(literal 0 binary64)) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(-.f64 (*.f64 (sin.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (*.f64 (cos.f64 #s(literal 0 binary64)) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) |
(-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64)))) |
(+.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(+.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 0 binary64)) |
Compiled 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 |
|---|---|---|
| 46.3% | (pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 48.7% | (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1/2 binary64)) | |
| 34.8% | (/.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))) | |
| 37.3% | (/.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))))) | |
| 17.1% | (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 3 binary64))) (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 15.0% | (/.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64))) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (*.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 22.4% | (/.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 17.1% | (/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64))) (*.f64 (neg.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 34.8% | (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 22.2% | (/.f64 (*.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) 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))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 17.1% | (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64)))) (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))) | |
| 34.4% | (/.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))))) | |
| 31.3% | (/.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))))) | |
| 36.9% | (/.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))))) | |
| 23.4% | (/.f64 (tan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) (/.f64 x y))) (*.f64 #s(literal -2 binary64) y)) (*.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 #s(literal -2 binary64) (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 20.5% | (/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 17.7% | (/.f64 (tan.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)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 13.0% | (/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 20.9% | (/.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))))) | |
| 11.4% | (/.f64 (tan.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 17.0% | (/.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))))) | |
| ▶ | 15.5% | (/.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 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 37.2% | (/.f64 (tan.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 34.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)))) | |
| 34.1% | (/.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)))) | |
| 31.6% | (/.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)))) | |
| 36.8% | (/.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)))) | |
| 13.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))))) | |
| ▶ | 17.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) y) y)))) |
| 12.9% | (/.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 3 binary64)))) (*.f64 x x)))) | |
| 11.4% | (/.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)))) | |
| 21.9% | (/.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))))) | |
| ✓ | 37.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 34.1% | (/.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))))))) | |
| 34.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) | |
| 36.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64)))))) | |
| ▶ | 17.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) y)))) |
| 37.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| 31.9% | (/.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)))) (exp.f64 (neg.f64 (*.f64 (log.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))))) | |
| 28.3% | (/.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))) | |
| 32.8% | (/.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))) | |
| 34.5% | (/.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))))) | |
| 35.0% | (/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 37.2% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 31.3% | (/.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))))) | |
| 37.4% | (/.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))) | |
| 17.6% | (/.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)))) | |
| 21.9% | (/.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))))) | |
| 17.6% | (/.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)))) | |
| 37.2% | (/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 32.6% | (/.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))))) | |
| 49.3% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) | |
| 34.8% | (*.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)))) | |
| 17.1% | (*.f64 (/.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64)))) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))) | |
| 34.8% | (*.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)))) | |
| ▶ | 43.9% | #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))) |
| 49.2% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) | |
| ▶ | 50.1% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
Compiled 2 273 to 1 668 computations (26.6% saved)
| 1× | egg-herbie |
Found 17 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 | (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 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) y)))) | |
| cost-diff | 6272 | (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) | |
| cost-diff | 7104 | (*.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)) | |
| cost-diff | 0 | (/.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)))) | |
| cost-diff | 64 | (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) | |
| cost-diff | 640 | (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64))) | |
| cost-diff | 768 | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) y) y)) | |
| cost-diff | 0 | (/.f64 (*.f64 x x) y) | |
| cost-diff | 0 | (/.f64 #s(literal 1/8 binary64) y) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
| 6 252× | lower-fma.f32 |
| 6 250× | lower-fma.f64 |
| 4 598× | lower-*.f32 |
| 4 582× | lower-*.f64 |
| 1 886× | times-frac |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 366 |
| 0 | 78 | 324 |
| 1 | 141 | 310 |
| 2 | 430 | 258 |
| 3 | 3838 | 258 |
| 0 | 8519 | 258 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/8 binary64) y) |
#s(literal 1/8 binary64) |
y |
(/.f64 (*.f64 x x) y) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (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)))) |
(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 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) y) y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) y) y)) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) |
#s(literal 0 binary64) |
(*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64))) |
(*.f64 #s(literal -2 binary64) y) |
#s(literal -2 binary64) |
(*.f64 x #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 (*.f64 #s(literal -2 binary64) y) y) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) y)))) |
(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 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) y))) |
(*.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)) |
(/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) |
(neg.f64 x) |
(neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) |
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
(/.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 |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/8 binary64) y) |
#s(literal 1/8 binary64) |
y |
(/.f64 (*.f64 x x) y) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(/.f64 (tan.f64 (/.f64 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 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)) |
(*.f64 #s(literal 2 binary64) y) |
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))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) y) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (neg.f64 y) x) |
#s(literal 0 binary64) |
(*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64))) |
(*.f64 y x) |
(*.f64 #s(literal -2 binary64) y) |
#s(literal -2 binary64) |
(*.f64 x #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
(*.f64 (*.f64 #s(literal -2 binary64) y) y) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) y)))) |
(/.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)) |
(*.f64 #s(literal 2 binary64) y) |
y |
#s(literal 2 binary64) |
(sin.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(*.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)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) |
(/.f64 x (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) |
(neg.f64 x) |
(neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) |
(*.f64 #s(literal -4 binary64) (*.f64 y y)) |
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) |
(*.f64 #s(literal 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 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(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 (/.f64 #s(literal 1/2 binary64) y) x)) |
(/.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 (/.f64 #s(literal 1/2 binary64) y) x) |
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))) |
(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)))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 7.453207531524759 | (/.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 | 32.05485181847231 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 32.956377770354024 | (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 | 40.031069855035966 | (/.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 | 7.453207531524759 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) y)))) | |
| accuracy | 16.834725297454114 | (*.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)) | |
| accuracy | 32.05485181847231 | (sin.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) y))) | |
| accuracy | 32.956377770354024 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 7.453207531524759 | (/.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)))) | |
| accuracy | 22.06569936777235 | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) y) y)) | |
| accuracy | 32.05485181847231 | (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))) | |
| accuracy | 32.956377770354024 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 2.864417410576585 | (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) | |
| accuracy | 3.3979229354843117 | (/.f64 (*.f64 x x) y) | |
| accuracy | 35.46770730602173 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) | |
| accuracy | 31.942191461436256 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
| 127.0ms | 140× | 1 | valid |
| 96.0ms | 116× | 0 | valid |
Compiled 356 to 43 computations (87.9% saved)
ival-tan: 29.0ms (23.9% of total)ival-div: 25.0ms (20.6% of total)ival-sin: 21.0ms (17.3% of total)ival-mult: 20.0ms (16.5% of total)ival-pow: 8.0ms (6.6% of total)adjust: 7.0ms (5.8% of total)ival-sub: 3.0ms (2.5% of total)ival-neg: 2.0ms (1.6% of total)ival-add: 2.0ms (1.6% of total)ival-pow2: 2.0ms (1.6% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(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 #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))) (patch #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))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x 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 (*.f64 x x) y) (patch (/.f64 (*.f64 x x) y) #<representation binary64>) () ()) |
#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64))) (patch (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) (patch (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ()) |
#s(alt (*.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)) (patch (*.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)) #<representation binary64>) () ()) |
#s(alt (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (patch (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) y)))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) y)))) #<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 #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 (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (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))) (patch (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))) #<representation binary64>) () ()) |
#s(alt (sin.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) y))) (patch (sin.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) y))) #<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 #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 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt #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))) (patch #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))) #<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)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) (patch #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))) #<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)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) (patch #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))) #<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)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) (patch #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))) #<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 (*.f64 x x) y) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x 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 (*.f64 x x) y) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x 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 (*.f64 x x) y) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x 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 (*.f64 x x) y) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x 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 (*.f64 x x) y) (patch (/.f64 (*.f64 x x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor 0 y) (#s(alt (/.f64 (*.f64 x x) y) (patch (/.f64 (*.f64 x x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor 0 y) (#s(alt (/.f64 (*.f64 x x) y) (patch (/.f64 (*.f64 x x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor 0 y) (#s(alt (/.f64 (*.f64 x x) y) (patch (/.f64 (*.f64 x x) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64))) (patch (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64))) (patch (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64))) (patch (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64))) (patch (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) (patch (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) (patch (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) (patch (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) (patch (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 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 (-.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)))) (patch (/.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)))) #<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 (-.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)))) (patch (/.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)))) #<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 (-.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)))) (patch (/.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)))) #<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 (-.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)))) (patch (/.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (*.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)) (patch (*.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)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (*.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)) (patch (*.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)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (*.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)) (patch (*.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)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (*.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)) (patch (*.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)) #<representation binary64>) () ())) ()) |
#s(alt (* -4 (pow y 2)) (taylor 0 y) (#s(alt (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (patch (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -4 (pow y 2)) (taylor 0 y) (#s(alt (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (patch (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -4 (pow y 2)) (taylor 0 y) (#s(alt (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (patch (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -4 (pow y 2)) (taylor 0 y) (#s(alt (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (patch (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) 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 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) y)))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) y)))) #<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 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) y)))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) y)))) #<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 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) y)))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) y)))) #<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 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) y)))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) y)))) #<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>) () ())) ()) |
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#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ()) |
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ()) |
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ()) |
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) y))) (patch (sin.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) y))) (patch (sin.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) y))) (patch (sin.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) y))) (patch (sin.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) y))) #<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 | |
|---|---|---|---|---|
| 9.0ms | y | @ | inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/ 1/8 y) (/ (* x x) y) (/ (- 0 (* (* -2 y) (* x -1/2))) (* (* -2 y) y)) (* (* -2 y) (* x -1/2)) (- 0 (* (* -2 y) (* x -1/2))) (/ (tan (/ x (* y 2))) (sin (/ (- 0 (* (* -2 y) (* x -1/2))) (* (* -2 y) y)))) (* (/ (neg x) (neg (pow (* 2 y) 2))) (* 2 y)) (neg (pow (* 2 y) 2)) (/ (tan (/ x (* y 2))) (sin (* (/ (neg x) (neg (pow (* 2 y) 2))) (* 2 y)))) (tan (/ x (* y 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)))) (* x x) (sin (/ (- 0 (* (* -2 y) (* x -1/2))) (* (* -2 y) y))) (sin (* (/ (neg x) (neg (pow (* 2 y) 2))) (* 2 y))) (sin (/ x (* y 2)))) |
| 5.0ms | x | @ | inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/ 1/8 y) (/ (* x x) y) (/ (- 0 (* (* -2 y) (* x -1/2))) (* (* -2 y) y)) (* (* -2 y) (* x -1/2)) (- 0 (* (* -2 y) (* x -1/2))) (/ (tan (/ x (* y 2))) (sin (/ (- 0 (* (* -2 y) (* x -1/2))) (* (* -2 y) y)))) (* (/ (neg x) (neg (pow (* 2 y) 2))) (* 2 y)) (neg (pow (* 2 y) 2)) (/ (tan (/ x (* y 2))) (sin (* (/ (neg x) (neg (pow (* 2 y) 2))) (* 2 y)))) (tan (/ x (* y 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)))) (* x x) (sin (/ (- 0 (* (* -2 y) (* x -1/2))) (* (* -2 y) y))) (sin (* (/ (neg x) (neg (pow (* 2 y) 2))) (* 2 y))) (sin (/ x (* y 2)))) |
| 3.0ms | y | @ | -inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/ 1/8 y) (/ (* x x) y) (/ (- 0 (* (* -2 y) (* x -1/2))) (* (* -2 y) y)) (* (* -2 y) (* x -1/2)) (- 0 (* (* -2 y) (* x -1/2))) (/ (tan (/ x (* y 2))) (sin (/ (- 0 (* (* -2 y) (* x -1/2))) (* (* -2 y) y)))) (* (/ (neg x) (neg (pow (* 2 y) 2))) (* 2 y)) (neg (pow (* 2 y) 2)) (/ (tan (/ x (* y 2))) (sin (* (/ (neg x) (neg (pow (* 2 y) 2))) (* 2 y)))) (tan (/ x (* y 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)))) (* x x) (sin (/ (- 0 (* (* -2 y) (* x -1/2))) (* (* -2 y) y))) (sin (* (/ (neg x) (neg (pow (* 2 y) 2))) (* 2 y))) (sin (/ x (* y 2)))) |
| 3.0ms | y | @ | 0 | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/ 1/8 y) (/ (* x x) y) (/ (- 0 (* (* -2 y) (* x -1/2))) (* (* -2 y) y)) (* (* -2 y) (* x -1/2)) (- 0 (* (* -2 y) (* x -1/2))) (/ (tan (/ x (* y 2))) (sin (/ (- 0 (* (* -2 y) (* x -1/2))) (* (* -2 y) y)))) (* (/ (neg x) (neg (pow (* 2 y) 2))) (* 2 y)) (neg (pow (* 2 y) 2)) (/ (tan (/ x (* y 2))) (sin (* (/ (neg x) (neg (pow (* 2 y) 2))) (* 2 y)))) (tan (/ x (* y 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)))) (* x x) (sin (/ (- 0 (* (* -2 y) (* x -1/2))) (* (* -2 y) y))) (sin (* (/ (neg x) (neg (pow (* 2 y) 2))) (* 2 y))) (sin (/ x (* y 2)))) |
| 2.0ms | x | @ | -inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/ 1/8 y) (/ (* x x) y) (/ (- 0 (* (* -2 y) (* x -1/2))) (* (* -2 y) y)) (* (* -2 y) (* x -1/2)) (- 0 (* (* -2 y) (* x -1/2))) (/ (tan (/ x (* y 2))) (sin (/ (- 0 (* (* -2 y) (* x -1/2))) (* (* -2 y) y)))) (* (/ (neg x) (neg (pow (* 2 y) 2))) (* 2 y)) (neg (pow (* 2 y) 2)) (/ (tan (/ x (* y 2))) (sin (* (/ (neg x) (neg (pow (* 2 y) 2))) (* 2 y)))) (tan (/ x (* y 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)))) (* x x) (sin (/ (- 0 (* (* -2 y) (* x -1/2))) (* (* -2 y) y))) (sin (* (/ (neg x) (neg (pow (* 2 y) 2))) (* 2 y))) (sin (/ x (* y 2)))) |
| 1× | egg-herbie |
| 11 238× | lower-fma.f64 |
| 11 238× | lower-fma.f32 |
| 5 534× | lower-*.f64 |
| 5 534× | lower-*.f32 |
| 4 454× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 330 | 7801 |
| 1 | 978 | 7713 |
| 2 | 3453 | 7293 |
| 0 | 8200 | 6871 |
| 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)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(* 1/8 (/ (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)) |
(/ 1/8 y) |
(/ 1/8 y) |
(/ 1/8 y) |
(/ 1/8 y) |
(/ (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)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* 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)) |
(* -4 (pow y 2)) |
(* -4 (pow y 2)) |
(* -4 (pow y 2)) |
(* -4 (pow y 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)))) |
(* 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 (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))) |
(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 |
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
1 |
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(/ 1/8 y) |
(/ 1/8 y) |
(/ 1/8 y) |
(/ 1/8 y) |
(/ (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)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* 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)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* -4 (pow y 2)) |
(* -4 (pow y 2)) |
(* -4 (pow y 2)) |
(* -4 (pow y 2)) |
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 |
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1 |
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1 |
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1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
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(/ 1/8 y) |
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(/ (pow x 2) y) |
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(/ (pow x 2) y) |
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1 |
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(* -4 (pow y 2)) |
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1 |
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(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 8 (pow y 3)) |
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1 |
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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 (/ (+ (* -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 (/ (+ (* -1/2 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) (+ (* 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)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* 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 |
(+ 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)))))) |
(* 1/2 (/ x y)) |
(* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 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)))) |
(* 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)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(* 1/8 (/ (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)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* 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 (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 (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)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 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 (cos (* 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)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(* (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)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* 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 (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 (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)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 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))) |
| 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))) |
(/ 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))) |
(* 1/8 (/ (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) |
(/ 1/8 y) |
(/.f64 #s(literal 1/8 binary64) y) |
(/ 1/8 y) |
(/.f64 #s(literal 1/8 binary64) y) |
(/ 1/8 y) |
(/.f64 #s(literal 1/8 binary64) y) |
(/ 1/8 y) |
(/.f64 #s(literal 1/8 binary64) 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)) |
(/ (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) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 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))) |
(* 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) |
(* -4 (pow y 2)) |
(*.f64 #s(literal -4 binary64) (*.f64 y y)) |
(* -4 (pow y 2)) |
(*.f64 #s(literal -4 binary64) (*.f64 y y)) |
(* -4 (pow y 2)) |
(*.f64 #s(literal -4 binary64) (*.f64 y y)) |
(* -4 (pow y 2)) |
(*.f64 #s(literal -4 binary64) (*.f64 y 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))) |
(/ (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 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) |
(* 8 (pow y 3)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64)) |
(* 8 (pow y 3)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64)) |
(* 8 (pow y 3)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64)) |
(* 8 (pow y 3)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 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)) |
(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)) |
1 |
#s(literal 1 binary64) |
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(/.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))) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x 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)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
| 1 098× | lower-*.f32 |
| 1 082× | lower-*.f64 |
| 1 056× | lower-/.f32 |
| 1 036× | lower-/.f64 |
| 308× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 255 |
| 0 | 78 | 247 |
| 1 | 272 | 226 |
| 0 | 1869 | 226 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/8 binary64) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) y) y)) |
(*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) |
(/.f64 (tan.f64 (/.f64 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 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) y)) |
(neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) y)))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 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))))) |
(*.f64 x x) |
(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))) |
(sin.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) y))) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal 1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y)) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y)) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/8 binary64)) (pow.f64 y #s(literal -1 binary64)) #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 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 x x) y) (*.f64 (/.f64 #s(literal 1/8 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/8 binary64) (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 x x) y)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y)) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 (/.f64 x y) (/.f64 #s(literal 1/8 binary64) y)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y)) #s(literal 2 binary64)) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/8 binary64)) |
(*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y))) |
(*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) y)) |
(pow.f64 (*.f64 y #s(literal 8 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y #s(literal 8 binary64)))) |
(/.f64 #s(literal -1/8 binary64) (neg.f64 y)) |
(/.f64 #s(literal 1/8 binary64) (neg.f64 (neg.f64 y))) |
(/.f64 #s(literal 1/8 binary64) y) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 8 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 8 binary64))) |
(neg.f64 (/.f64 #s(literal -1/8 binary64) y)) |
(*.f64 (/.f64 x y) x) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (neg.f64 y))) |
(*.f64 (*.f64 x x) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) y)) |
(*.f64 x (/.f64 x y)) |
(pow.f64 (/.f64 y (*.f64 x x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) x)) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) y) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 x x)))) |
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 y)) |
(/.f64 (*.f64 x x) y) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 x x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 x) x) y)) |
(neg.f64 (/.f64 (*.f64 x x) (neg.f64 y))) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x) (*.f64 #s(literal -2 binary64) y)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x)) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -2 binary64)) y) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) y) y))) |
(*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) y) (*.f64 y y))))) |
(pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) y) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -2 binary64)) y)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x) #s(literal -2 binary64)) (*.f64 y y)) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x) y) (*.f64 #s(literal -2 binary64) y)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -2 binary64)) y) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -2 binary64)) y)) |
(/.f64 (*.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) y) x) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -2 binary64)) y) #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) y) y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) y) (*.f64 y y))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) y) (*.f64 y y))))) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) y) (*.f64 y y))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) y) (*.f64 y y))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) y) (*.f64 y y))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) y) (*.f64 y y))) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) y) (*.f64 y y))))))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x) (*.f64 #s(literal -2 binary64) y))) (neg.f64 y)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -2 binary64)) y) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -2 binary64)) y) (*.f64 (*.f64 #s(literal -2 binary64) y) y))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) y) x) #s(literal 3 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -2 binary64)) y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) y) y))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) y)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) y) y) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -2 binary64)) y))) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) y) y) (*.f64 (*.f64 #s(literal -2 binary64) y) y))) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x) (*.f64 #s(literal -2 binary64) y)) y) |
(/.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -2 binary64)) y) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) y) y) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -2 binary64)) y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) y) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -2 binary64)) y)))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) y) x) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) y) y) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -2 binary64)) y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) y))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x) (*.f64 (*.f64 #s(literal -2 binary64) y) y)) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -2 binary64)) y) (*.f64 (*.f64 #s(literal 2 binary64) y) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x) (*.f64 #s(literal -2 binary64) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) y) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -2 binary64)) y)) #s(literal 1 binary64))) |
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(*.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (/.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y y))))) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
(pow.f64 (/.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (tan.f64 (/.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y y)))))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (sin.f64 (/.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y y))))) (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))) (cos.f64 (/.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y y)))))) |
(/.f64 (*.f64 (tan.f64 (/.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y y))))) #s(literal 1 binary64)) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (tan.f64 (/.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y y))))))) (neg.f64 (neg.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))) |
(/.f64 (*.f64 (sin.f64 (/.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y y))))) #s(literal 1 binary64)) (*.f64 (cos.f64 (/.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y y))))) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (tan.f64 (/.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y y)))))))) |
(/.f64 (neg.f64 (tan.f64 (/.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y y)))))) (neg.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
(/.f64 (sin.f64 (/.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y y))))) (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y y))))))) |
(/.f64 (tan.f64 (/.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y y))))) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (tan.f64 (/.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y y)))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (tan.f64 (/.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y y))))))) |
(neg.f64 (/.f64 (neg.f64 (tan.f64 (/.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y y)))))) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
(neg.f64 (/.f64 (tan.f64 (/.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y y))))) (neg.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))) |
(*.f64 (sin.f64 (/.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y y))))))) |
(/.f64 (neg.f64 (sin.f64 (/.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y y)))))) (neg.f64 (cos.f64 (/.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y y))))))) |
(/.f64 (sin.f64 (/.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y y))))) (cos.f64 (/.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (/.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y y))))) (sin.f64 (/.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y y))))))) |
(tan.f64 (/.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y y))))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 x x) |
(pow.f64 x #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(sin.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) y) (*.f64 y y))))) |
(-.f64 (*.f64 (sin.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) y) (*.f64 y y))))) (*.f64 (cos.f64 #s(literal 0 binary64)) (sin.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) y) (*.f64 y y)))))) |
(sin.f64 (*.f64 (*.f64 (/.f64 x (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) y) #s(literal 2 binary64))) |
(sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
Compiled 19 430 to 1 794 computations (90.8% saved)
65 alts after pruning (63 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 777 | 18 | 795 |
| Fresh | 8 | 45 | 53 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 789 | 65 | 854 |
| Status | Accuracy | Program |
|---|---|---|
| 46.3% | (pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 48.7% | (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1/2 binary64)) | |
| 34.8% | (/.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))) | |
| 37.3% | (/.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))))) | |
| 17.1% | (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 3 binary64))) (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 15.0% | (/.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64))) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (*.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 22.4% | (/.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 17.1% | (/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64))) (*.f64 (neg.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 34.8% | (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 15.2% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 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)))) | |
| 22.2% | (/.f64 (*.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) 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))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 34.4% | (/.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))))) | |
| 31.3% | (/.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))))) | |
| ▶ | 36.9% | (/.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))))) |
| 23.4% | (/.f64 (tan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) (/.f64 x y))) (*.f64 #s(literal -2 binary64) y)) (*.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 #s(literal -2 binary64) (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 20.5% | (/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 17.7% | (/.f64 (tan.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)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 13.0% | (/.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))))) | |
| ▶ | 11.4% | (/.f64 (tan.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 17.0% | (/.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))))) | |
| 15.5% | (/.f64 (tan.f64 (/.f64 x (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 y y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 15.5% | (/.f64 (tan.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 37.2% | (/.f64 (tan.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 34.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)))) | |
| 34.1% | (/.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)))) | |
| 31.6% | (/.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)))) | |
| 36.8% | (/.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)))) | |
| 13.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))))) | |
| 12.9% | (/.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 3 binary64)))) (*.f64 x x)))) | |
| 11.4% | (/.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)))) | |
| 17.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(approx (- 0 (* (* -2 y) (* x -1/2))) (*.f64 (neg.f64 y) x)) (*.f64 (*.f64 #s(literal -2 binary64) y) y)))) | |
| 21.9% | (/.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))))) | |
| ✓ | 37.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 34.1% | (/.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))))))) | |
| 15.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) y))))) | |
| 34.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) | |
| 36.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64)))))) | |
| 23.3% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x) (*.f64 #s(literal -2 binary64) y)) (pow.f64 y #s(literal -1 binary64))))) | |
| 8.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (neg.f64 x) (/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))))))) (*.f64 #s(literal 2 binary64) y)))) | |
| 37.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| 21.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal -4 binary64) (*.f64 y y)))))) | |
| 22.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (neg.f64 x) (*.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) y))))) | |
| ▶ | 31.9% | (/.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)))) (exp.f64 (neg.f64 (*.f64 (log.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))))) | |
| 28.3% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ (- 0 (* (* -2 y) (* x -1/2))) (* (* -2 y) y))) (/.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))) | |
| 32.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ (- 0 (* (* -2 y) (* x -1/2))) (* (* -2 y) y))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| 34.5% | (/.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))))) | |
| 35.0% | (/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 37.2% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 31.3% | (/.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))))) | |
| 37.4% | (/.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))) | |
| 17.6% | (/.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)))) | |
| 17.6% | (/.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)))) | |
| 37.2% | (/.f64 #s(approx (tan (/ x (/ (- 0 (pow (* -2 y) 3)) (pow (* 2 y) 2)))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 32.6% | (/.f64 #s(approx (tan (/ x (/ (- 0 (pow (* -2 y) 3)) (pow (* 2 y) 2)))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 17.9% | (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (*.f64 (*.f64 (/.f64 x (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) y) #s(literal 2 binary64))) (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) | |
| ▶ | 49.3% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
| 34.8% | (*.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)))) | |
| 17.1% | (*.f64 (/.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64)))) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))) | |
| 34.8% | (*.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)))) | |
| 49.2% | #s(approx (/ (tan (/ x (/ (- 0 (pow (* -2 y) 3)) (pow (* 2 y) 2)))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) | |
| ▶ | 41.6% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64))) |
| 43.0% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal -1 binary64)))) | |
| 21.0% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) y))) | |
| ✓ | 50.1% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
Compiled 2 567 to 1 880 computations (26.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 x (*.f64 y #s(literal 2 binary64))) | |
| cost-diff | 0 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| cost-diff | 192 | (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)) | |
| cost-diff | 12928 | (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))) | |
| cost-diff | 0 | (neg.f64 (pow.f64 x #s(literal 3 binary64))) | |
| cost-diff | 0 | (tan.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 | (/.f64 #s(literal -1 binary64) x) | |
| cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) y) | |
| cost-diff | 0 | (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) | |
| cost-diff | 1088 | (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #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)))) |
| 3 178× | lower-*.f32 |
| 3 162× | lower-*.f64 |
| 2 456× | lower-/.f32 |
| 2 436× | lower-/.f64 |
| 2 220× | lower-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 293 |
| 0 | 78 | 278 |
| 1 | 121 | 276 |
| 2 | 241 | 252 |
| 3 | 705 | 252 |
| 4 | 2406 | 252 |
| 5 | 3414 | 252 |
| 6 | 5396 | 252 |
| 0 | 8485 | 252 |
| 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)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)) |
#s(literal 1/8 binary64) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) |
(/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(*.f64 y #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 (tan.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.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)) |
x |
#s(literal 3 binary64) |
#s(literal -1/2 binary64) |
(*.f64 (*.f64 x x) y) |
(*.f64 x x) |
y |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(*.f64 y #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
x |
(*.f64 y #s(literal 2 binary64)) |
y |
#s(literal 2 binary64) |
(sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))) |
(*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)) |
(log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) |
(/.f64 (*.f64 #s(literal 2 binary64) y) x) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal -1 binary64) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
#s(literal 1 binary64) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 x y)) |
(*.f64 (/.f64 x y) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(/.f64 x y) |
x |
y |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) (*.f64 x x) #s(literal 1 binary64)) |
#s(literal 1/8 binary64) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (sin.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) |
(tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) |
(tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(/.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
(/.f64 (tan.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (sin.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) |
(tan.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 #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)) |
x |
#s(literal 3 binary64) |
#s(literal -1/2 binary64) |
(*.f64 (*.f64 x x) y) |
(*.f64 x x) |
y |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))))) |
(/.f64 (tan.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (sin.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) |
(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 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)) |
(neg.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))) |
(log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) |
(/.f64 (*.f64 #s(literal 2 binary64) y) x) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal -1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 7.453207531524759 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))))) | |
| accuracy | 17.06029523713699 | (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) | |
| accuracy | 32.05485181847231 | (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))) | |
| accuracy | 32.956377770354024 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 8.962961167663934 | (*.f64 (*.f64 x x) y) | |
| accuracy | 32.05485181847231 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 32.956377770354024 | (tan.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y))) | |
| accuracy | 33.57230003649119 | (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y)) | |
| accuracy | 0.29525375976844204 | (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)) | |
| accuracy | 7.453207531524759 | (/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| accuracy | 32.05485181847231 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 32.956377770354024 | (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 12.323547873128847 | (/.f64 (*.f64 x x) (*.f64 y y)) | |
| accuracy | 35.46770730602173 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64))) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.0078125 | (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) | |
| accuracy | 0.16015625 | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) | |
| accuracy | 32.33741940510056 | (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
| 185.0ms | 140× | 1 | valid |
| 61.0ms | 116× | 0 | valid |
Compiled 285 to 43 computations (84.9% saved)
ival-div: 46.0ms (27.7% of total)ival-tan: 32.0ms (19.3% of total)ival-mult: 31.0ms (18.7% of total)ival-sin: 12.0ms (7.2% of total)ival-exp: 9.0ms (5.4% of total)ival-log: 9.0ms (5.4% of total)adjust: 7.0ms (4.2% of total)ival-pow: 7.0ms (4.2% of total)ival-cos: 7.0ms (4.2% of total)ival-neg: 2.0ms (1.2% of total)ival-add: 2.0ms (1.2% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(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)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64))) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (patch (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1/2 binary64) y) (patch (/.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) 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 (tan.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y))) (patch (tan.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 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (patch (neg.f64 (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))) (patch (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)) (patch (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 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 (*.f64 x x) (*.f64 y y)) (patch (/.f64 (*.f64 x x) (*.f64 y 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 (/.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))))) (patch (/.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))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) y) (patch (*.f64 (*.f64 x x) y) #<representation binary64>) () ()) |
#s(alt (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))) (patch (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) (patch (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #<representation binary64>) () ()) |
#s(alt (/.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))))) (patch (/.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))))) #<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)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64))) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #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)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64))) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #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)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64))) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #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)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64))) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 (/ (pow x 2) (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y 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 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y 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 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y 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 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (patch (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (patch (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (patch (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (patch (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1/2 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1/2 binary64) y) (patch (/.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ -1/2 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1/2 binary64) y) (patch (/.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ -1/2 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1/2 binary64) y) (patch (/.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ -1/2 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1/2 binary64) y) (patch (/.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#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 (* 1/2 (/ x y)) (taylor 0 y) (#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 (* 1/2 (/ x y)) (taylor 0 y) (#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 (* 1/2 (/ x y)) (taylor 0 y) (#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 (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (tan.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y))) (patch (tan.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))) (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (tan.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y))) (patch (tan.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))) (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (tan.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y))) (patch (tan.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))) (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (tan.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y))) (patch (tan.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 (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))) (patch (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))) (patch (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))) (patch (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))) (patch (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (+ (log y) (log (/ 2 x)))) (taylor 0 y) (#s(alt (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)) (patch (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (+ (log y) (log (/ 2 x)))) (taylor 0 y) (#s(alt (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)) (patch (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (+ (log y) (log (/ 2 x)))) (taylor 0 y) (#s(alt (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)) (patch (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (+ (log y) (log (/ 2 x)))) (taylor 0 y) (#s(alt (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)) (patch (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x x) (*.f64 y y)) (patch (/.f64 (*.f64 x x) (*.f64 y y)) #<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>) () ())) ()) |
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) y) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) y) (patch (*.f64 (*.f64 x x) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) y) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) y) (patch (*.f64 (*.f64 x x) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) y) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) y) (patch (*.f64 (*.f64 x x) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) y) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) y) (patch (*.f64 (*.f64 x x) y) #<representation binary64>) () ())) ()) |
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))) (patch (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))) (patch (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))) (patch (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))) (patch (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* -2 y)) (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) (patch (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* -2 y)) (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) (patch (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* -2 y)) (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) (patch (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* -2 y)) (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) (patch (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 94.0ms | 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)))) (+ (* 1/8 (/ (* x x) (* y y))) 1) (* x x) (* y y) (/ (/ -1/2 y) (/ -1 x)) (tan (/ (/ -1/2 y) (/ -1 x))) (/ -1/2 y) (/ -1 x) (/ (* (neg (pow x 3)) -1/2) (* (* x x) y)) (* (neg (pow x 3)) -1/2) (tan (/ (* (neg (pow x 3)) -1/2) (* (* x x) y))) (neg (pow x 3)) (exp (* (log (/ (* 2 y) x)) -1)) (* (log (/ (* 2 y) x)) -1) (tan (/ x (* y 2))) (/ x (* y 2)) (/ (* x x) (* y y)) (sin (/ x (* y 2))) (/ (tan (/ (/ -1/2 y) (/ -1 x))) (sin (/ x (* y 2)))) (* (* x x) y) (sin (exp (* (log (/ (* 2 y) x)) -1))) (log (/ (* 2 y) x)) (/ (tan (/ x (* y 2))) (sin (exp (* (log (/ (* 2 y) x)) -1))))) |
| 70.0ms | 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)))) (+ (* 1/8 (/ (* x x) (* y y))) 1) (* x x) (* y y) (/ (/ -1/2 y) (/ -1 x)) (tan (/ (/ -1/2 y) (/ -1 x))) (/ -1/2 y) (/ -1 x) (/ (* (neg (pow x 3)) -1/2) (* (* x x) y)) (* (neg (pow x 3)) -1/2) (tan (/ (* (neg (pow x 3)) -1/2) (* (* x x) y))) (neg (pow x 3)) (exp (* (log (/ (* 2 y) x)) -1)) (* (log (/ (* 2 y) x)) -1) (tan (/ x (* y 2))) (/ x (* y 2)) (/ (* x x) (* y y)) (sin (/ x (* y 2))) (/ (tan (/ (/ -1/2 y) (/ -1 x))) (sin (/ x (* y 2)))) (* (* x x) y) (sin (exp (* (log (/ (* 2 y) x)) -1))) (log (/ (* 2 y) x)) (/ (tan (/ x (* y 2))) (sin (exp (* (log (/ (* 2 y) x)) -1))))) |
| 41.0ms | 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)))) (+ (* 1/8 (/ (* x x) (* y y))) 1) (* x x) (* y y) (/ (/ -1/2 y) (/ -1 x)) (tan (/ (/ -1/2 y) (/ -1 x))) (/ -1/2 y) (/ -1 x) (/ (* (neg (pow x 3)) -1/2) (* (* x x) y)) (* (neg (pow x 3)) -1/2) (tan (/ (* (neg (pow x 3)) -1/2) (* (* x x) y))) (neg (pow x 3)) (exp (* (log (/ (* 2 y) x)) -1)) (* (log (/ (* 2 y) x)) -1) (tan (/ x (* y 2))) (/ x (* y 2)) (/ (* x x) (* y y)) (sin (/ x (* y 2))) (/ (tan (/ (/ -1/2 y) (/ -1 x))) (sin (/ x (* y 2)))) (* (* x x) y) (sin (exp (* (log (/ (* 2 y) x)) -1))) (log (/ (* 2 y) x)) (/ (tan (/ x (* y 2))) (sin (exp (* (log (/ (* 2 y) x)) -1))))) |
| 24.0ms | x | @ | 0 | ((/ 1 (cos (* -1/2 (/ x y)))) (cos (* -1/2 (/ x y))) (* -1/2 (/ x y)) (/ x y) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* 1/8 (/ (* x x) (* y y))) 1) (* x x) (* y y) (/ (/ -1/2 y) (/ -1 x)) (tan (/ (/ -1/2 y) (/ -1 x))) (/ -1/2 y) (/ -1 x) (/ (* (neg (pow x 3)) -1/2) (* (* x x) y)) (* (neg (pow x 3)) -1/2) (tan (/ (* (neg (pow x 3)) -1/2) (* (* x x) y))) (neg (pow x 3)) (exp (* (log (/ (* 2 y) x)) -1)) (* (log (/ (* 2 y) x)) -1) (tan (/ x (* y 2))) (/ x (* y 2)) (/ (* x x) (* y y)) (sin (/ x (* y 2))) (/ (tan (/ (/ -1/2 y) (/ -1 x))) (sin (/ x (* y 2)))) (* (* x x) y) (sin (exp (* (log (/ (* 2 y) x)) -1))) (log (/ (* 2 y) x)) (/ (tan (/ x (* y 2))) (sin (exp (* (log (/ (* 2 y) x)) -1))))) |
| 10.0ms | 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)))) (+ (* 1/8 (/ (* x x) (* y y))) 1) (* x x) (* y y) (/ (/ -1/2 y) (/ -1 x)) (tan (/ (/ -1/2 y) (/ -1 x))) (/ -1/2 y) (/ -1 x) (/ (* (neg (pow x 3)) -1/2) (* (* x x) y)) (* (neg (pow x 3)) -1/2) (tan (/ (* (neg (pow x 3)) -1/2) (* (* x x) y))) (neg (pow x 3)) (exp (* (log (/ (* 2 y) x)) -1)) (* (log (/ (* 2 y) x)) -1) (tan (/ x (* y 2))) (/ x (* y 2)) (/ (* x x) (* y y)) (sin (/ x (* y 2))) (/ (tan (/ (/ -1/2 y) (/ -1 x))) (sin (/ x (* y 2)))) (* (* x x) y) (sin (exp (* (log (/ (* 2 y) x)) -1))) (log (/ (* 2 y) x)) (/ (tan (/ x (* y 2))) (sin (exp (* (log (/ (* 2 y) x)) -1))))) |
| 1× | egg-herbie |
| 11 352× | lower-fma.f64 |
| 11 352× | lower-fma.f32 |
| 5 876× | lower-*.f64 |
| 5 876× | lower-*.f32 |
| 4 790× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 403 | 7833 |
| 1 | 1196 | 7715 |
| 2 | 4012 | 7673 |
| 0 | 8866 | 7284 |
| 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)))) |
(* 1/8 (/ (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)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* 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))) (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 y) |
(/ -1/2 y) |
(/ -1/2 y) |
(/ -1/2 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))) (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 (+ (log y) (log (/ 2 x)))) |
(* -1 (+ (log y) (log (/ 2 x)))) |
(* -1 (+ (log y) (log (/ 2 x)))) |
(* -1 (+ (log y) (log (/ 2 x)))) |
(/ (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)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(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)))) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(+ (log y) (log (/ 2 x))) |
(+ (log y) (log (/ 2 x))) |
(+ (log y) (log (/ 2 x))) |
(+ (log y) (log (/ 2 x))) |
(/ 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 |
(+ 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 |
(+ 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 y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 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) |
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(/ -1/2 y) |
(/ -1/2 y) |
(/ -1/2 y) |
(/ -1/2 y) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 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)) |
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(* -1 (+ (log (/ 2 x)) (* -1 (log (/ 1 y))))) |
(* -1 (+ (log (/ 2 x)) (* -1 (log (/ 1 y))))) |
(* 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)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(* 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)))) |
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(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 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) |
(+ (log (/ 2 x)) (* -1 (log (/ 1 y)))) |
(+ (log (/ 2 x)) (* -1 (log (/ 1 y)))) |
(+ (log (/ 2 x)) (* -1 (log (/ 1 y)))) |
(+ (log (/ 2 x)) (* -1 (log (/ 1 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 |
(+ 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 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
1 |
(+ 1 (* 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 y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 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 y) |
(/ -1/2 y) |
(/ -1/2 y) |
(/ -1/2 y) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 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 (+ (log (/ -2 x)) (* -1 (log (/ -1 y))))) |
(* -1 (+ (log (/ -2 x)) (* -1 (log (/ -1 y))))) |
(* -1 (+ (log (/ -2 x)) (* -1 (log (/ -1 y))))) |
(* -1 (+ (log (/ -2 x)) (* -1 (log (/ -1 y))))) |
(* 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)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (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 |
(- (+ 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))))))))) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 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)) |
(+ (log (/ -2 x)) (* -1 (log (/ -1 y)))) |
(+ (log (/ -2 x)) (* -1 (log (/ -1 y)))) |
(+ (log (/ -2 x)) (* -1 (log (/ -1 y)))) |
(+ (log (/ -2 x)) (* -1 (log (/ -1 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 |
(+ 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)) |
(/ 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 |
(+ 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) |
(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)) |
(* 1/2 (/ 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 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(* 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)) |
(* 1/2 (/ 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 (pow x 3)) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* -1 (+ (log (* 2 y)) (* -1 (log x)))) |
(* -1 (+ (log (* 2 y)) (* -1 (log x)))) |
(* -1 (+ (log (* 2 y)) (* -1 (log x)))) |
(* -1 (+ (log (* 2 y)) (* -1 (log x)))) |
(* 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)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (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 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) 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)))) |
(+ (log (* 2 y)) (* -1 (log x))) |
(+ (log (* 2 y)) (* -1 (log x))) |
(+ (log (* 2 y)) (* -1 (log x))) |
(+ (log (* 2 y)) (* -1 (log 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 (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)))) |
(* 1/8 (/ (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) |
(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)) |
(/ (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 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(* 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))) (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 (pow x 3)) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* -1 (+ (log (* 2 y)) (log (/ 1 x)))) |
(* -1 (+ (log (* 2 y)) (log (/ 1 x)))) |
(* -1 (+ (log (* 2 y)) (log (/ 1 x)))) |
(* -1 (+ (log (* 2 y)) (log (/ 1 x)))) |
(/ (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)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(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)))) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(+ (log (* 2 y)) (log (/ 1 x))) |
(+ (log (* 2 y)) (log (/ 1 x))) |
(+ (log (* 2 y)) (log (/ 1 x))) |
(+ (log (* 2 y)) (log (/ 1 x))) |
(/ 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 (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)))) |
(* 1/8 (/ (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) |
(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)) |
(/ (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 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(* 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))) (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 (pow x 3)) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* -1 (+ (log (* -2 y)) (log (/ -1 x)))) |
(* -1 (+ (log (* -2 y)) (log (/ -1 x)))) |
(* -1 (+ (log (* -2 y)) (log (/ -1 x)))) |
(* -1 (+ (log (* -2 y)) (log (/ -1 x)))) |
(/ (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)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(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)))) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(+ (log (* -2 y)) (log (/ -1 x))) |
(+ (log (* -2 y)) (log (/ -1 x))) |
(+ (log (* -2 y)) (log (/ -1 x))) |
(+ (log (* -2 y)) (log (/ -1 x))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 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))) |
(* 1/8 (/ (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) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.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) |
(/ (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 y) |
(/.f64 #s(literal -1/2 binary64) y) |
(/ -1/2 y) |
(/.f64 #s(literal -1/2 binary64) y) |
(/ -1/2 y) |
(/.f64 #s(literal -1/2 binary64) y) |
(/ -1/2 y) |
(/.f64 #s(literal -1/2 binary64) 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) |
(/ (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)) |
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(/ (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 (pow x 3)) |
(neg.f64 (pow.f64 x #s(literal 3 binary64))) |
(* -1 (pow x 3)) |
(neg.f64 (pow.f64 x #s(literal 3 binary64))) |
(* -1 (pow x 3)) |
(neg.f64 (pow.f64 x #s(literal 3 binary64))) |
(* -1 (pow x 3)) |
(neg.f64 (pow.f64 x #s(literal 3 binary64))) |
(* 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 (+ (log (* -2 y)) (log (/ -1 x)))) |
(neg.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (*.f64 #s(literal -2 binary64) y)))) |
(* -1 (+ (log (* -2 y)) (log (/ -1 x)))) |
(neg.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (*.f64 #s(literal -2 binary64) y)))) |
(* -1 (+ (log (* -2 y)) (log (/ -1 x)))) |
(neg.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (*.f64 #s(literal -2 binary64) y)))) |
(* -1 (+ (log (* -2 y)) (log (/ -1 x)))) |
(neg.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (*.f64 #s(literal -2 binary64) y)))) |
(/ (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) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.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 (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))) |
(* (pow x 2) y) |
(*.f64 (*.f64 x x) y) |
(* (pow x 2) y) |
(*.f64 (*.f64 x x) y) |
(* (pow x 2) y) |
(*.f64 (*.f64 x x) y) |
(* (pow x 2) y) |
(*.f64 (*.f64 x 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)) |
(+ (log (* -2 y)) (log (/ -1 x))) |
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (*.f64 #s(literal -2 binary64) y))) |
(+ (log (* -2 y)) (log (/ -1 x))) |
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (*.f64 #s(literal -2 binary64) y))) |
(+ (log (* -2 y)) (log (/ -1 x))) |
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (*.f64 #s(literal -2 binary64) y))) |
(+ (log (* -2 y)) (log (/ -1 x))) |
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (*.f64 #s(literal -2 binary64) 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))) |
| 5 072× | lower-*.f32 |
| 5 056× | lower-*.f64 |
| 3 732× | lower-fma.f32 |
| 3 730× | lower-fma.f64 |
| 3 292× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 212 |
| 0 | 76 | 184 |
| 1 | 228 | 162 |
| 2 | 1154 | 156 |
| 0 | 8126 | 156 |
| 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)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)) |
(*.f64 x x) |
(*.f64 y y) |
(/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)) |
(tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) |
(/.f64 #s(literal -1/2 binary64) y) |
(/.f64 #s(literal -1 binary64) 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)) |
(tan.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y))) |
(neg.f64 (pow.f64 x #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))) |
(*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(*.f64 (*.f64 x x) y) |
(sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))) |
(log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) |
(/.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))))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1/2 binary64))) (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(*.f64 (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 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (/.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (log.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) #s(literal -1 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (neg.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64))) (neg.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (neg.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(/.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) #s(literal 1 binary64)) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(/.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (*.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 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (neg.f64 (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) |
(/.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(/.f64 (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 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (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))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (neg.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (neg.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(*.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(*.f64 (neg.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) |
(*.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal 1 binary64)) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (/.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (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))) |
(pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1/2 binary64))) (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1/2 binary64))) |
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(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (/.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (log.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) #s(literal -1 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (neg.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64))) (neg.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (neg.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(/.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) #s(literal 1 binary64)) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(/.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (*.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 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (neg.f64 (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) |
(/.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(/.f64 (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 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (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))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) #s(literal -1 binary64))) |
Compiled 59 815 to 5 430 computations (90.9% saved)
103 alts after pruning (98 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 838 | 70 | 2 908 |
| Fresh | 30 | 28 | 58 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 2 870 | 103 | 2 973 |
| Status | Accuracy | Program |
|---|---|---|
| 46.1% | (pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 48.7% | (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)) | |
| 48.7% | (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1/2 binary64)) | |
| 37.3% | (/.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))))) | |
| 15.2% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 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)))) | |
| 34.7% | (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (neg.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) | |
| 31.3% | (/.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))))) | |
| 31.4% | (/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 31.2% | (/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))))) | |
| 34.2% | (/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)))) | |
| ▶ | 31.6% | (/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))))) |
| 33.7% | (/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) y))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x))))) | |
| ✓ | 36.9% | (/.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))))) |
| 31.5% | (/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal 2 binary64)))))) | |
| 31.2% | (/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y x)))))) | |
| 12.0% | (/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (/.f64 #s(literal 1/2 binary64) (*.f64 y x))))) | |
| 20.2% | (/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (*.f64 (/.f64 (*.f64 (neg.f64 x) x) y) (/.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x x))))) | |
| 17.0% | (/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (*.f64 (/.f64 x (neg.f64 x)) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 y x))))) | |
| 14.5% | (/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) y)) (*.f64 (neg.f64 x) x)) x))) | |
| 34.2% | (/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) | |
| 23.4% | (/.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))))) | |
| 17.7% | (/.f64 (tan.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)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 10.9% | (/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) x)) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| ▶ | 11.2% | (/.f64 (tan.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 10.1% | (/.f64 (tan.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))))) | |
| 10.4% | (/.f64 (tan.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 17.0% | (/.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))))) | |
| 37.2% | (/.f64 (tan.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 34.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)))) | |
| 34.1% | (/.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)))) | |
| 31.6% | (/.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)))) | |
| 31.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))))) | |
| 36.8% | (/.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)))) | |
| 13.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))))) | |
| 17.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(approx (- 0 (* (* -2 y) (* x -1/2))) (*.f64 (neg.f64 y) x)) (*.f64 (*.f64 #s(literal -2 binary64) y) y)))) | |
| ✓ | 37.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 34.1% | (/.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))))))) | |
| 31.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal 2 binary64)))))) | |
| 33.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) y))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 x)))))) | |
| 31.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y x)))))) | |
| 14.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (neg.f64 x) x) y))))) | |
| 12.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (/.f64 #s(literal 1/2 binary64) (*.f64 y x))))) | |
| 23.3% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x) (*.f64 #s(literal -2 binary64) y)) (pow.f64 y #s(literal -1 binary64))))) | |
| 20.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (*.f64 (/.f64 x y) x) (/.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 (neg.f64 x) x))))) | |
| 14.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y))))) | |
| 21.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal -4 binary64) (*.f64 y y)))))) | |
| 23.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) x))))))) | |
| 33.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) (log.f64 y))))) | |
| 34.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (-.f64 (log.f64 x) (log.f64 (*.f64 #s(literal 2 binary64) y)))))) | |
| 33.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)))) (-.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) (neg.f64 (log.f64 x)))) #s(literal -1 binary64))))) | |
| 31.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (/.f64 (-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 (log.f64 (/.f64 y x)) (log.f64 (/.f64 y x)))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 y x)))) #s(literal -1 binary64))))) | |
| 31.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 y x)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (-.f64 (*.f64 (log.f64 (/.f64 y x)) (log.f64 (/.f64 y x))) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 y x)))))) #s(literal -1 binary64))))) | |
| 34.3% | (/.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)))))) | |
| 31.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (exp.f64 (neg.f64 (*.f64 (log.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))))) | |
| 32.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ (- 0 (* (* -2 y) (* x -1/2))) (* (* -2 y) y))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| 34.5% | (/.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))))) | |
| 35.0% | (/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 33.5% | (/.f64 (tan.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) y))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 x))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 31.1% | (/.f64 (tan.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) y))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 x))))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))))) | |
| 31.9% | (/.f64 (tan.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y x))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 31.3% | (/.f64 (tan.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y x))))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))))) | |
| 11.7% | (/.f64 (tan.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))))) | |
| 21.5% | (/.f64 (tan.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (neg.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))))) | |
| 20.1% | (/.f64 (tan.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (neg.f64 x) x)) (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) y))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))))) | |
| 20.8% | (/.f64 (tan.f64 (*.f64 (/.f64 (*.f64 (neg.f64 x) x) y) (/.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 37.2% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 31.6% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))))) | |
| 14.5% | (/.f64 (tan.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) y)) (*.f64 (neg.f64 x) x)) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 13.1% | (/.f64 (tan.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) y)) (*.f64 (neg.f64 x) x)) x)) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))))) | |
| 14.6% | (/.f64 (tan.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 33.7% | (/.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))))) | |
| 34.6% | (/.f64 (tan.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))))) | |
| 37.4% | (/.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))) | |
| 37.5% | (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) | |
| 17.6% | (/.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)))) | |
| 17.6% | (/.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)))) | |
| ▶ | 37.2% | (/.f64 #s(approx (tan (/ (/ -1/2 y) (/ -1 x))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 32.6% | (/.f64 #s(approx (tan (/ (/ -1/2 y) (/ -1 x))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 31.6% | (/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))))) | |
| 37.5% | (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) | |
| 34.8% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) | |
| 36.4% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)) (*.f64 y x)) x))) | |
| 49.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)))) | |
| 49.6% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) | |
| ▶ | 49.6% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))))) |
| 27.0% | (/.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)))) | |
| 41.1% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y x)) (/.f64 (*.f64 x #s(literal -1/2 binary64)) x)))) | |
| 41.3% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y x))))) | |
| 21.8% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) y) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) | |
| 34.9% | (/.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))))) | |
| 49.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) | |
| 27.7% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (/.f64 x y) x) (/.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x x))))) | |
| 24.8% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) y))))) | |
| ✓ | 49.3% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
| 48.9% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))))) | |
| 49.1% | (/.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)))))) | |
| 45.0% | (/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))) | |
| 17.1% | (*.f64 (/.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64)))) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))) | |
| 34.8% | (*.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)))) | |
| 34.8% | (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) | |
| ✓ | 41.6% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64))) |
| ▶ | 21.0% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) y))) |
| ✓ | 50.1% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
Compiled 4 011 to 2 950 computations (26.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) y) | |
| cost-diff | 0 | (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) | |
| cost-diff | 0 | (/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))))) | |
| cost-diff | 1088 | (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)) | |
| cost-diff | 0 | (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) | |
| cost-diff | 0 | (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| cost-diff | 0 | #s(approx (tan (/ (/ -1/2 y) (/ -1 x))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) | |
| cost-diff | 0 | (/.f64 #s(approx (tan (/ (/ -1/2 y) (/ -1 x))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (tan.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) y))) | |
| cost-diff | 0 | (/.f64 (tan.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| cost-diff | 7104 | (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) y)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) | |
| cost-diff | 0 | (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) y) | |
| cost-diff | 0 | #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)) | |
| cost-diff | 0 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) y))) | |
| cost-diff | 0 | (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64))))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))))) | |
| cost-diff | 2752 | (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))) | |
| cost-diff | 5824 | (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) |
| 4 918× | lower-*.f32 |
| 4 898× | lower-*.f64 |
| 2 188× | lower-/.f32 |
| 2 158× | lower-/.f64 |
| 1 908× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 446 |
| 0 | 102 | 443 |
| 1 | 153 | 384 |
| 2 | 292 | 375 |
| 3 | 959 | 375 |
| 4 | 2902 | 375 |
| 5 | 5244 | 375 |
| 0 | 8196 | 373 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))))) |
#s(literal 1 binary64) |
(cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))) |
(pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
#s(literal 1/2 binary64) |
(/.f64 x y) |
x |
y |
(neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) y))) |
#s(approx (+ (* (/ 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 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) y) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) |
(fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) |
(*.f64 x x) |
x |
#s(literal 1/8 binary64) |
(*.f64 y y) |
y |
(/.f64 (tan.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) y))) |
(/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) y)) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 x x) |
x |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 x x) y) |
y |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(*.f64 y #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 #s(approx (tan (/ (/ -1/2 y) (/ -1 x))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
#s(approx (tan (/ (/ -1/2 y) (/ -1 x))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(/.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)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
x |
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(*.f64 y #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))))) |
(tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) |
(/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)))) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))) |
(exp.f64 #s(literal -1 binary64)) |
(log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) |
(/.f64 (*.f64 #s(literal 2 binary64) y) x) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
#s(literal 1 binary64) |
(cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64))))) |
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 x y)) |
(pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) |
(sqrt.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 |
(neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64))) |
(neg.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) y))) |
#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 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) y) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) |
(fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) |
(*.f64 x x) |
x |
#s(literal 1/8 binary64) |
(*.f64 y y) |
y |
(/.f64 (tan.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) y))) (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 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) y))) |
(tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) |
(*.f64 x x) |
x |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 x x) y) |
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 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
(/.f64 #s(approx (tan (/ (/ -1/2 y) (/ -1 x))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(approx (tan (/ (/ -1/2 y) (/ -1 x))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
#s(approx (tan (/ (/ -1/2 y) (/ -1 x))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(/.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)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
x |
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))))) |
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))))) |
(tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) |
(tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)))) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))) |
(exp.f64 #s(literal -1 binary64)) |
(log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) |
(/.f64 (*.f64 #s(literal 2 binary64) y) x) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 7.453207531524759 | (/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))))) | |
| accuracy | 17.06029523713699 | (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) | |
| accuracy | 32.05485181847231 | (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)))) | |
| accuracy | 32.956377770354024 | (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) | |
| accuracy | 7.453207531524759 | (/.f64 #s(approx (tan (/ (/ -1/2 y) (/ -1 x))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| accuracy | 32.05485181847231 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 32.05485181847231 | (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) | |
| accuracy | 32.33741940510056 | (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) | |
| accuracy | 8.962961167663934 | (*.f64 (*.f64 x x) y) | |
| accuracy | 32.05485181847231 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 32.956377770354024 | (tan.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) y))) | |
| accuracy | 33.57230003649119 | (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) y)) | |
| accuracy | 0 | #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)) | |
| accuracy | 2.856604910576585 | (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) y) | |
| accuracy | 16.3691758537914 | (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) | |
| accuracy | 35.46770730602173 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) y))) | |
| accuracy | 0.16015625 | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))))) | |
| accuracy | 0.40853500976844204 | (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))) | |
| accuracy | 15.992346083077841 | (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) | |
| accuracy | 32.33741940510056 | (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64))))) |
| 248.0ms | 140× | 1 | valid |
| 55.0ms | 116× | 0 | valid |
Compiled 385 to 55 computations (85.7% saved)
ival-div: 79.0ms (29.7% of total)ival-cos: 65.0ms (24.4% of total)ival-tan: 27.0ms (10.1% of total)ival-mult: 23.0ms (8.6% of total)ival-sin: 19.0ms (7.1% of total)ival-pow: 16.0ms (6% of total)ival-exp: 10.0ms (3.8% of total)adjust: 9.0ms (3.4% of total)ival-log: 9.0ms (3.4% of total)ival-sqrt: 3.0ms (1.1% of total)ival-add: 3.0ms (1.1% of total)ival-neg: 2.0ms (0.8% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (patch (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))) (patch (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))))) #<representation binary64>) () ()) |
#s(alt (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64))))) (patch (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) y))) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) y))) #<representation binary64>) () ()) |
#s(alt #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)) (patch #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)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) y) (patch (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) y) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) (patch (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) y)) (patch (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (tan.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ()) |
#s(alt (tan.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) y))) (patch (tan.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) y))) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (tan (/ (/ -1/2 y) (/ -1 x))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(approx (tan (/ (/ -1/2 y) (/ -1 x))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (tan (/ (/ -1/2 y) (/ -1 x))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (patch #s(approx (tan (/ (/ -1/2 y) (/ -1 x))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (patch (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #<representation binary64>) () ()) |
#s(alt (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (patch (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))))) (patch (/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))))) #<representation binary64>) () ()) |
#s(alt (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (patch (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1/2 binary64) y) (patch (/.f64 #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>) () ()) |
#s(alt (*.f64 (*.f64 x x) y) (patch (*.f64 (*.f64 x x) y) #<representation binary64>) () ()) |
#s(alt (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (patch (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #<representation binary64>) () ()) |
#s(alt (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)))) (patch (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)))) #<representation binary64>) () ()) |
#s(alt (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) (patch (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* (sqrt (/ x y)) (sqrt 1/2)) (taylor 0 y) (#s(alt (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (patch (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 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 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (patch (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 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 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (patch (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 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 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (patch (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (pow (sqrt 1/2) 2)) y)) (taylor 0 y) (#s(alt (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))) (patch (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (pow (sqrt 1/2) 2)) y)) (taylor 0 y) (#s(alt (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))) (patch (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (pow (sqrt 1/2) 2)) y)) (taylor 0 y) (#s(alt (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))) (patch (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (pow (sqrt 1/2) 2)) y)) (taylor 0 y) (#s(alt (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))) (patch (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* -1 (/ (* x (pow (sqrt 1/2) 2)) y)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* -1 (/ (* x (pow (sqrt 1/2) 2)) y)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* -1 (/ (* x (pow (sqrt 1/2) 2)) y)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* -1 (/ (* x (pow (sqrt 1/2) 2)) y)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (cos (* -1 (/ (* x (pow (sqrt 1/2) 2)) y))) (taylor 0 y) (#s(alt (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64))))) (patch (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (cos (* -1 (/ (* x (pow (sqrt 1/2) 2)) y))) (taylor 0 y) (#s(alt (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64))))) (patch (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (cos (* -1 (/ (* x (pow (sqrt 1/2) 2)) y))) (taylor 0 y) (#s(alt (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64))))) (patch (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (cos (* -1 (/ (* x (pow (sqrt 1/2) 2)) y))) (taylor 0 y) (#s(alt (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64))))) (patch (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 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(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))) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) y))) #<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(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))) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) y))) #<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(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))) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) y))) #<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(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))) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) y))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 (/ (pow x 2) (pow y 2))) (taylor 0 y) (#s(alt #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)) (patch #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)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) (taylor 0 y) (#s(alt #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)) (patch #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)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) (taylor 0 y) (#s(alt #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)) (patch #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)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) (taylor 0 y) (#s(alt #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)) (patch #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)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 (/ (pow x 2) (pow y 2))) (taylor 0 y) (#s(alt (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) y) (patch (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) y) (patch (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) y) (patch (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) y) (patch (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 (/ (pow x 2) y)) (taylor 0 y) (#s(alt (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) (patch (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/8 (pow x 2)) (pow y 2)) y) (taylor 0 y) (#s(alt (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) (patch (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/8 (pow x 2)) (pow y 2)) y) (taylor 0 y) (#s(alt (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) (patch (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/8 (pow x 2)) (pow y 2)) y) (taylor 0 y) (#s(alt (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) (patch (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) y)) (patch (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) y)) (patch (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) y)) (patch (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) y)) (patch (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 (tan.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) y))) (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 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) y))) (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 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) y))) (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 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) y))) (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 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) y))) (patch (tan.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (tan.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) y))) (patch (tan.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (tan.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) y))) (patch (tan.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) y))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (log (* -2 y)) (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) (patch (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* -2 y)) (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) (patch (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 45.0ms | y | @ | -inf | ((pow (* 1/2 (/ x y)) 1/2) (* (pow (* 1/2 (/ x y)) 1/2) (neg (pow (* 1/2 (/ x y)) 1/2))) (/ 1 (cos (* (pow (* 1/2 (/ x y)) 1/2) (neg (pow (* 1/2 (/ x y)) 1/2))))) (cos (* (pow (* 1/2 (/ x y)) 1/2) (neg (pow (* 1/2 (/ x y)) 1/2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/ (/ (+ (* (* x x) 1/8) (* y y)) y) y) (/ (+ (* (* x x) 1/8) (* y y)) y) (/ (* (* x x) (* 1/2 x)) (* (* x x) y)) (/ (tan (/ (* (* x x) (* 1/2 x)) (* (* x x) y))) (sin (/ x (* y 2)))) (tan (/ (* (* x x) (* 1/2 x)) (* (* x x) y))) (* x x) (/ (tan (/ (/ -1/2 y) (/ -1 x))) (sin (/ x (* y 2)))) (tan (/ (/ -1/2 y) (/ -1 x))) (/ (sin (* (/ 1/2 y) x)) (cos (* (/ 1/2 y) x))) (sin (* (/ 1/2 y) x)) (/ (/ -1/2 y) (/ -1 x)) (/ (tan (/ (/ -1/2 y) (/ -1 x))) (sin (pow (exp -1) (log (/ (* 2 y) x))))) (tan (/ (/ -1/2 y) (/ -1 x))) (/ -1/2 y) (sin (/ x (* y 2))) (* (* x x) y) (cos (* (/ 1/2 y) x)) (sin (pow (exp -1) (log (/ (* 2 y) x)))) (log (/ (* 2 y) x))) |
| 35.0ms | x | @ | 0 | ((pow (* 1/2 (/ x y)) 1/2) (* (pow (* 1/2 (/ x y)) 1/2) (neg (pow (* 1/2 (/ x y)) 1/2))) (/ 1 (cos (* (pow (* 1/2 (/ x y)) 1/2) (neg (pow (* 1/2 (/ x y)) 1/2))))) (cos (* (pow (* 1/2 (/ x y)) 1/2) (neg (pow (* 1/2 (/ x y)) 1/2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/ (/ (+ (* (* x x) 1/8) (* y y)) y) y) (/ (+ (* (* x x) 1/8) (* y y)) y) (/ (* (* x x) (* 1/2 x)) (* (* x x) y)) (/ (tan (/ (* (* x x) (* 1/2 x)) (* (* x x) y))) (sin (/ x (* y 2)))) (tan (/ (* (* x x) (* 1/2 x)) (* (* x x) y))) (* x x) (/ (tan (/ (/ -1/2 y) (/ -1 x))) (sin (/ x (* y 2)))) (tan (/ (/ -1/2 y) (/ -1 x))) (/ (sin (* (/ 1/2 y) x)) (cos (* (/ 1/2 y) x))) (sin (* (/ 1/2 y) x)) (/ (/ -1/2 y) (/ -1 x)) (/ (tan (/ (/ -1/2 y) (/ -1 x))) (sin (pow (exp -1) (log (/ (* 2 y) x))))) (tan (/ (/ -1/2 y) (/ -1 x))) (/ -1/2 y) (sin (/ x (* y 2))) (* (* x x) y) (cos (* (/ 1/2 y) x)) (sin (pow (exp -1) (log (/ (* 2 y) x)))) (log (/ (* 2 y) x))) |
| 30.0ms | y | @ | 0 | ((pow (* 1/2 (/ x y)) 1/2) (* (pow (* 1/2 (/ x y)) 1/2) (neg (pow (* 1/2 (/ x y)) 1/2))) (/ 1 (cos (* (pow (* 1/2 (/ x y)) 1/2) (neg (pow (* 1/2 (/ x y)) 1/2))))) (cos (* (pow (* 1/2 (/ x y)) 1/2) (neg (pow (* 1/2 (/ x y)) 1/2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/ (/ (+ (* (* x x) 1/8) (* y y)) y) y) (/ (+ (* (* x x) 1/8) (* y y)) y) (/ (* (* x x) (* 1/2 x)) (* (* x x) y)) (/ (tan (/ (* (* x x) (* 1/2 x)) (* (* x x) y))) (sin (/ x (* y 2)))) (tan (/ (* (* x x) (* 1/2 x)) (* (* x x) y))) (* x x) (/ (tan (/ (/ -1/2 y) (/ -1 x))) (sin (/ x (* y 2)))) (tan (/ (/ -1/2 y) (/ -1 x))) (/ (sin (* (/ 1/2 y) x)) (cos (* (/ 1/2 y) x))) (sin (* (/ 1/2 y) x)) (/ (/ -1/2 y) (/ -1 x)) (/ (tan (/ (/ -1/2 y) (/ -1 x))) (sin (pow (exp -1) (log (/ (* 2 y) x))))) (tan (/ (/ -1/2 y) (/ -1 x))) (/ -1/2 y) (sin (/ x (* y 2))) (* (* x x) y) (cos (* (/ 1/2 y) x)) (sin (pow (exp -1) (log (/ (* 2 y) x)))) (log (/ (* 2 y) x))) |
| 26.0ms | x | @ | inf | ((pow (* 1/2 (/ x y)) 1/2) (* (pow (* 1/2 (/ x y)) 1/2) (neg (pow (* 1/2 (/ x y)) 1/2))) (/ 1 (cos (* (pow (* 1/2 (/ x y)) 1/2) (neg (pow (* 1/2 (/ x y)) 1/2))))) (cos (* (pow (* 1/2 (/ x y)) 1/2) (neg (pow (* 1/2 (/ x y)) 1/2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/ (/ (+ (* (* x x) 1/8) (* y y)) y) y) (/ (+ (* (* x x) 1/8) (* y y)) y) (/ (* (* x x) (* 1/2 x)) (* (* x x) y)) (/ (tan (/ (* (* x x) (* 1/2 x)) (* (* x x) y))) (sin (/ x (* y 2)))) (tan (/ (* (* x x) (* 1/2 x)) (* (* x x) y))) (* x x) (/ (tan (/ (/ -1/2 y) (/ -1 x))) (sin (/ x (* y 2)))) (tan (/ (/ -1/2 y) (/ -1 x))) (/ (sin (* (/ 1/2 y) x)) (cos (* (/ 1/2 y) x))) (sin (* (/ 1/2 y) x)) (/ (/ -1/2 y) (/ -1 x)) (/ (tan (/ (/ -1/2 y) (/ -1 x))) (sin (pow (exp -1) (log (/ (* 2 y) x))))) (tan (/ (/ -1/2 y) (/ -1 x))) (/ -1/2 y) (sin (/ x (* y 2))) (* (* x x) y) (cos (* (/ 1/2 y) x)) (sin (pow (exp -1) (log (/ (* 2 y) x)))) (log (/ (* 2 y) x))) |
| 25.0ms | y | @ | inf | ((pow (* 1/2 (/ x y)) 1/2) (* (pow (* 1/2 (/ x y)) 1/2) (neg (pow (* 1/2 (/ x y)) 1/2))) (/ 1 (cos (* (pow (* 1/2 (/ x y)) 1/2) (neg (pow (* 1/2 (/ x y)) 1/2))))) (cos (* (pow (* 1/2 (/ x y)) 1/2) (neg (pow (* 1/2 (/ x y)) 1/2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/ (/ (+ (* (* x x) 1/8) (* y y)) y) y) (/ (+ (* (* x x) 1/8) (* y y)) y) (/ (* (* x x) (* 1/2 x)) (* (* x x) y)) (/ (tan (/ (* (* x x) (* 1/2 x)) (* (* x x) y))) (sin (/ x (* y 2)))) (tan (/ (* (* x x) (* 1/2 x)) (* (* x x) y))) (* x x) (/ (tan (/ (/ -1/2 y) (/ -1 x))) (sin (/ x (* y 2)))) (tan (/ (/ -1/2 y) (/ -1 x))) (/ (sin (* (/ 1/2 y) x)) (cos (* (/ 1/2 y) x))) (sin (* (/ 1/2 y) x)) (/ (/ -1/2 y) (/ -1 x)) (/ (tan (/ (/ -1/2 y) (/ -1 x))) (sin (pow (exp -1) (log (/ (* 2 y) x))))) (tan (/ (/ -1/2 y) (/ -1 x))) (/ -1/2 y) (sin (/ x (* y 2))) (* (* x x) y) (cos (* (/ 1/2 y) x)) (sin (pow (exp -1) (log (/ (* 2 y) x)))) (log (/ (* 2 y) x))) |
| 1× | egg-herbie |
| 9 488× | lower-fma.f64 |
| 9 488× | lower-fma.f32 |
| 5 374× | lower-*.f64 |
| 5 374× | lower-*.f32 |
| 4 338× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 667 | 10957 |
| 1 | 2020 | 10318 |
| 2 | 7103 | 10278 |
| 0 | 8088 | 9814 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (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 (/ (* 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 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(* 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)) |
(* 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)) |
(* 1/8 (/ (pow x 2) y)) |
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) y) |
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) y) |
(/ (+ (* 1/8 (pow x 2)) (pow y 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 (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))) (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))) |
(* 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 (exp (* -1 (+ (log y) (log (/ 2 x)))))))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (exp (* -1 (+ (log y) (log (/ 2 x)))))))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (exp (* -1 (+ (log y) (log (/ 2 x)))))))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (exp (* -1 (+ (log y) (log (/ 2 x)))))))) |
(/ (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 y) |
(/ -1/2 y) |
(/ -1/2 y) |
(/ -1/2 y) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(cos (* 1/2 (/ x y))) |
(cos (* 1/2 (/ x y))) |
(cos (* 1/2 (/ x y))) |
(cos (* 1/2 (/ x y))) |
(sin (exp (* -1 (+ (log y) (log (/ 2 x)))))) |
(sin (exp (* -1 (+ (log y) (log (/ 2 x)))))) |
(sin (exp (* -1 (+ (log y) (log (/ 2 x)))))) |
(sin (exp (* -1 (+ (log y) (log (/ 2 x)))))) |
(+ (log y) (log (/ 2 x))) |
(+ (log y) (log (/ 2 x))) |
(+ (log y) (log (/ 2 x))) |
(+ (log y) (log (/ 2 x))) |
(* (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 (/ (* 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 |
(+ 1 (* 1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 4)) (pow y 2)))) |
(- (+ 1 (* -1 (/ (+ (* -1/4 (* (pow x 4) (pow (sqrt 1/2) 8))) (* 1/24 (* (pow x 4) (pow (sqrt 1/2) 8)))) (pow y 4)))) (* -1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 4)) (pow y 2)))) |
(- (+ 1 (* -1 (/ (+ (* -1/720 (* (pow x 6) (pow (sqrt 1/2) 12))) (+ (* 1/48 (* (pow x 6) (pow (sqrt 1/2) 12))) (* 1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (+ (* -1/4 (* (pow x 4) (pow (sqrt 1/2) 8))) (* 1/24 (* (pow x 4) (pow (sqrt 1/2) 8))))))))) (pow y 6)))) (+ (* -1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 4)) (pow y 2))) (+ (* -1/4 (/ (* (pow x 4) (pow (sqrt 1/2) 8)) (pow y 4))) (* 1/24 (/ (* (pow x 4) (pow (sqrt 1/2) 8)) (pow y 4)))))) |
1 |
(+ 1 (* -1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 4)) (pow y 2)))) |
(+ 1 (+ (* -1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 4)) (pow y 2))) (* 1/24 (/ (* (pow x 4) (pow (sqrt 1/2) 8)) (pow y 4))))) |
(+ 1 (+ (* -1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 4)) (pow y 2))) (+ (* -1/720 (/ (* (pow x 6) (pow (sqrt 1/2) 12)) (pow y 6))) (* 1/24 (/ (* (pow x 4) (pow (sqrt 1/2) 8)) (pow y 4)))))) |
1 |
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
1 |
(+ 1 (* 1/8 (/ (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 |
(+ 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)))) |
y |
(* y (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))) |
(* y (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))) |
(* y (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))) |
(* 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 |
(- (+ 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)) |
(/ (- (+ (* -1/48 (/ (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)) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x (* y (sin (exp (* -1 (+ (log (/ 2 x)) (* -1 (log (/ 1 y)))))))))) |
(/ (- (+ (* -1/48 (/ (pow x 3) (* (pow y 2) (sin (exp (* -1 (+ (log (/ 2 x)) (* -1 (log (/ 1 y)))))))))) (* 1/2 (/ x (sin (exp (* -1 (+ (log (/ 2 x)) (* -1 (log (/ 1 y)))))))))) (* -1/16 (/ (pow x 3) (* (pow y 2) (sin (exp (* -1 (+ (log (/ 2 x)) (* -1 (log (/ 1 y))))))))))) y) |
(/ (- (+ (* -1/48 (/ (pow x 3) (* (pow y 2) (sin (exp (* -1 (+ (log (/ 2 x)) (* -1 (log (/ 1 y)))))))))) (+ (* 1/3840 (/ (pow x 5) (* (pow y 4) (sin (exp (* -1 (+ (log (/ 2 x)) (* -1 (log (/ 1 y)))))))))) (* 1/2 (/ x (sin (exp (* -1 (+ (log (/ 2 x)) (* -1 (log (/ 1 y))))))))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (* (pow y 4) (sin (exp (* -1 (+ (log (/ 2 x)) (* -1 (log (/ 1 y)))))))))) (+ (* -1/16 (/ (pow x 3) (* (pow y 2) (sin (exp (* -1 (+ (log (/ 2 x)) (* -1 (log (/ 1 y)))))))))) (* 1/768 (/ (pow x 5) (* (pow y 4) (sin (exp (* -1 (+ (log (/ 2 x)) (* -1 (log (/ 1 y))))))))))))) y) |
(/ (- (+ (* -1/48 (/ (pow x 3) (* (pow y 2) (sin (exp (* -1 (+ (log (/ 2 x)) (* -1 (log (/ 1 y)))))))))) (+ (* -1/645120 (/ (pow x 7) (* (pow y 6) (sin (exp (* -1 (+ (log (/ 2 x)) (* -1 (log (/ 1 y)))))))))) (+ (* 1/3840 (/ (pow x 5) (* (pow y 4) (sin (exp (* -1 (+ (log (/ 2 x)) (* -1 (log (/ 1 y)))))))))) (* 1/2 (/ x (sin (exp (* -1 (+ (log (/ 2 x)) (* -1 (log (/ 1 y)))))))))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (* (pow y 4) (sin (exp (* -1 (+ (log (/ 2 x)) (* -1 (log (/ 1 y)))))))))) (+ (* -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) (sin (exp (* -1 (+ (log (/ 2 x)) (* -1 (log (/ 1 y)))))))))) (+ (* -1/16 (/ (pow x 3) (* (pow y 2) (sin (exp (* -1 (+ (log (/ 2 x)) (* -1 (log (/ 1 y)))))))))) (+ (* -1/92160 (/ (pow x 7) (* (pow y 6) (sin (exp (* -1 (+ (log (/ 2 x)) (* -1 (log (/ 1 y)))))))))) (+ (* 1/768 (/ (pow x 5) (* (pow y 4) (sin (exp (* -1 (+ (log (/ 2 x)) (* -1 (log (/ 1 y)))))))))) (* 1/384 (/ (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (* (pow y 6) (sin (exp (* -1 (+ (log (/ 2 x)) (* -1 (log (/ 1 y)))))))))))))))) y) |
(* 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 y) |
(/ -1/2 y) |
(/ -1/2 y) |
(/ -1/2 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) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
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)))))) |
(sin (exp (* -1 (+ (log (/ 2 x)) (* -1 (log (/ 1 y))))))) |
(sin (exp (* -1 (+ (log (/ 2 x)) (* -1 (log (/ 1 y))))))) |
(sin (exp (* -1 (+ (log (/ 2 x)) (* -1 (log (/ 1 y))))))) |
(sin (exp (* -1 (+ (log (/ 2 x)) (* -1 (log (/ 1 y))))))) |
(+ (log (/ 2 x)) (* -1 (log (/ 1 y)))) |
(+ (log (/ 2 x)) (* -1 (log (/ 1 y)))) |
(+ (log (/ 2 x)) (* -1 (log (/ 1 y)))) |
(+ (log (/ 2 x)) (* -1 (log (/ 1 y)))) |
(* (sqrt (/ x y)) (* (sqrt -1) (sqrt -1/2))) |
(* (sqrt (/ x y)) (* (sqrt -1) (sqrt -1/2))) |
(* (sqrt (/ x y)) (* (sqrt -1) (sqrt -1/2))) |
(* (sqrt (/ x y)) (* (sqrt -1) (sqrt -1/2))) |
(/ (* 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 (* -1 (/ (+ (* -1/4 (* (pow x 4) (pow (sqrt -1/2) 8))) (* 1/24 (* (pow x 4) (pow (sqrt -1/2) 8)))) (pow y 4)))) (* -1/2 (/ (* (pow x 2) (pow (sqrt -1/2) 4)) (pow y 2)))) |
(- (+ 1 (* -1 (/ (+ (* -1/720 (* (pow x 6) (pow (sqrt -1/2) 12))) (+ (* 1/48 (* (pow x 6) (pow (sqrt -1/2) 12))) (* 1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (+ (* -1/4 (* (pow x 4) (pow (sqrt -1/2) 8))) (* 1/24 (* (pow x 4) (pow (sqrt -1/2) 8))))))))) (pow y 6)))) (+ (* -1/2 (/ (* (pow x 2) (pow (sqrt -1/2) 4)) (pow y 2))) (+ (* -1/4 (/ (* (pow x 4) (pow (sqrt -1/2) 8)) (pow y 4))) (* 1/24 (/ (* (pow x 4) (pow (sqrt -1/2) 8)) (pow y 4)))))) |
1 |
(+ 1 (* -1/2 (/ (* (pow x 2) (pow (sqrt -1/2) 4)) (pow y 2)))) |
(+ 1 (+ (* -1/2 (/ (* (pow x 2) (pow (sqrt -1/2) 4)) (pow y 2))) (* 1/24 (/ (* (pow x 4) (pow (sqrt -1/2) 8)) (pow y 4))))) |
(+ 1 (+ (* -1/2 (/ (* (pow x 2) (pow (sqrt -1/2) 4)) (pow y 2))) (+ (* -1/720 (/ (* (pow x 6) (pow (sqrt -1/2) 12)) (pow y 6))) (* 1/24 (/ (* (pow x 4) (pow (sqrt -1/2) 8)) (pow y 4)))))) |
1 |
(- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
1 |
(+ 1 (* 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 |
(+ 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)))) |
y |
(* -1 (* y (- (* -1/8 (/ (pow x 2) (pow y 2))) 1))) |
(* -1 (* y (- (* -1/8 (/ (pow x 2) (pow y 2))) 1))) |
(* -1 (* y (- (* -1/8 (/ (pow x 2) (pow y 2))) 1))) |
(* 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))))))))) |
(* 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 |
(- (+ 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)))) (* 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)) |
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(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
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(* 1/2 (/ x y)) |
(* 1/2 (/ x (* y (sin (exp (* -1 (+ (log (/ -2 x)) (* -1 (log (/ -1 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))))) (+ (* -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 y) |
(/ -1/2 y) |
(/ -1/2 y) |
(/ -1/2 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)) |
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(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
1 |
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))) |
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(+ 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)))))) |
(sin (exp (* -1 (+ (log (/ -2 x)) (* -1 (log (/ -1 y))))))) |
(sin (exp (* -1 (+ (log (/ -2 x)) (* -1 (log (/ -1 y))))))) |
(sin (exp (* -1 (+ (log (/ -2 x)) (* -1 (log (/ -1 y))))))) |
(sin (exp (* -1 (+ (log (/ -2 x)) (* -1 (log (/ -1 y))))))) |
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(* (sqrt (/ x y)) (sqrt 1/2)) |
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(* -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 |
(+ 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)))))))) |
1 |
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(+ 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 |
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(+ 1 (* 1/8 (/ (pow x 2) (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)))) |
y |
(+ y (* 1/8 (/ (pow x 2) y))) |
(+ y (* 1/8 (/ (pow x 2) y))) |
(+ y (* 1/8 (/ (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)) |
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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)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 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)))))) |
(* 1/2 (/ x y)) |
(* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* 1/2 (/ x y)) |
(* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* 1/2 (/ 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)) |
(* 1/2 (/ x (* y (sin (exp (* -1 (+ (log (* 2 y)) (* -1 (log x))))))))) |
(* x (+ (* 1/24 (/ (pow x 2) (* (pow y 3) (sin (exp (* -1 (+ (log (* 2 y)) (* -1 (log x))))))))) (* 1/2 (/ 1 (* y (sin (exp (* -1 (+ (log (* 2 y)) (* -1 (log x))))))))))) |
(* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (* (pow y 5) (sin (exp (* -1 (+ (log (* 2 y)) (* -1 (log x))))))))) (* 1/24 (/ 1 (* (pow y 3) (sin (exp (* -1 (+ (log (* 2 y)) (* -1 (log x))))))))))) (* 1/2 (/ 1 (* y (sin (exp (* -1 (+ (log (* 2 y)) (* -1 (log x))))))))))) |
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (* (pow y 7) (sin (exp (* -1 (+ (log (* 2 y)) (* -1 (log x))))))))) (* 1/240 (/ 1 (* (pow y 5) (sin (exp (* -1 (+ (log (* 2 y)) (* -1 (log x))))))))))) (* 1/24 (/ 1 (* (pow y 3) (sin (exp (* -1 (+ (log (* 2 y)) (* -1 (log x))))))))))) (* 1/2 (/ 1 (* y (sin (exp (* -1 (+ (log (* 2 y)) (* -1 (log x))))))))))) |
(* 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)))) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
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)))))) |
(sin (exp (* -1 (+ (log (* 2 y)) (* -1 (log x)))))) |
(sin (exp (* -1 (+ (log (* 2 y)) (* -1 (log x)))))) |
(sin (exp (* -1 (+ (log (* 2 y)) (* -1 (log x)))))) |
(sin (exp (* -1 (+ (log (* 2 y)) (* -1 (log x)))))) |
(+ (log (* 2 y)) (* -1 (log x))) |
(+ (log (* 2 y)) (* -1 (log x))) |
(+ (log (* 2 y)) (* -1 (log x))) |
(+ (log (* 2 y)) (* -1 (log x))) |
(* (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 (/ (* x (pow (sqrt 1/2) 2)) y)) |
(* -1 (/ (* x (pow (sqrt 1/2) 2)) y)) |
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(/ 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 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(* (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))))) |
(* 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))))) |
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(* (pow x 2) (+ (* 1/8 (/ 1 y)) (/ y (pow x 2)))) |
(* (pow x 2) (+ (* 1/8 (/ 1 y)) (/ y (pow x 2)))) |
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(* 1/2 (/ x y)) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
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(/ (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)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
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(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
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(sin (* 1/2 (/ x y))) |
(* 1/2 (/ x y)) |
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(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (exp (* -1 (+ (log (* 2 y)) (log (/ 1 x)))))))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (exp (* -1 (+ (log (* 2 y)) (log (/ 1 x)))))))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (exp (* -1 (+ (log (* 2 y)) (log (/ 1 x)))))))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (exp (* -1 (+ (log (* 2 y)) (log (/ 1 x)))))))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
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(/ (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))) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(cos (* 1/2 (/ x y))) |
(cos (* 1/2 (/ x y))) |
(cos (* 1/2 (/ x y))) |
(cos (* 1/2 (/ x y))) |
(sin (exp (* -1 (+ (log (* 2 y)) (log (/ 1 x)))))) |
(sin (exp (* -1 (+ (log (* 2 y)) (log (/ 1 x)))))) |
(sin (exp (* -1 (+ (log (* 2 y)) (log (/ 1 x)))))) |
(sin (exp (* -1 (+ (log (* 2 y)) (log (/ 1 x)))))) |
(+ (log (* 2 y)) (log (/ 1 x))) |
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(* -1 (* (sqrt (/ x y)) (* (sqrt -1) (sqrt -1/2)))) |
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(* -1 (* (sqrt (/ x y)) (* (sqrt -1) (sqrt -1/2)))) |
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(/ (* 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) |
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(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
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(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
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(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(* 1/8 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* 1/8 (/ 1 y)) (/ y (pow x 2)))) |
(* (pow x 2) (+ (* 1/8 (/ 1 y)) (/ y (pow x 2)))) |
(* (pow x 2) (+ (* 1/8 (/ 1 y)) (/ y (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)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 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))) (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))) |
(* 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 (exp (* -1 (+ (log (* -2 y)) (log (/ -1 x)))))))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (exp (* -1 (+ (log (* -2 y)) (log (/ -1 x)))))))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (exp (* -1 (+ (log (* -2 y)) (log (/ -1 x)))))))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (exp (* -1 (+ (log (* -2 y)) (log (/ -1 x)))))))) |
(/ (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))) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(cos (* 1/2 (/ x y))) |
(cos (* 1/2 (/ x y))) |
(cos (* 1/2 (/ x y))) |
(cos (* 1/2 (/ x y))) |
(sin (exp (* -1 (+ (log (* -2 y)) (log (/ -1 x)))))) |
(sin (exp (* -1 (+ (log (* -2 y)) (log (/ -1 x)))))) |
(sin (exp (* -1 (+ (log (* -2 y)) (log (/ -1 x)))))) |
(sin (exp (* -1 (+ (log (* -2 y)) (log (/ -1 x)))))) |
(+ (log (* -2 y)) (log (/ -1 x))) |
(+ (log (* -2 y)) (log (/ -1 x))) |
(+ (log (* -2 y)) (log (/ -1 x))) |
(+ (log (* -2 y)) (log (/ -1 x))) |
| Outputs |
|---|
(* (sqrt (/ x y)) (sqrt 1/2)) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 x y))) |
(* (sqrt (/ x y)) (sqrt 1/2)) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 x y))) |
(* (sqrt (/ x y)) (sqrt 1/2)) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 x y))) |
(* (sqrt (/ x y)) (sqrt 1/2)) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 x y))) |
(* -1 (/ (* x (pow (sqrt 1/2) 2)) y)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 x y)) |
(* -1 (/ (* x (pow (sqrt 1/2) 2)) y)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 x y)) |
(* -1 (/ (* x (pow (sqrt 1/2) 2)) y)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 x y)) |
(* -1 (/ (* x (pow (sqrt 1/2) 2)) y)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 x y)) |
(/ 1 (cos (* -1 (/ (* 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 (* -1 (/ (* 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 (* -1 (/ (* 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 (* -1 (/ (* x (pow (sqrt 1/2) 2)) y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(cos (* -1 (/ (* x (pow (sqrt 1/2) 2)) y))) |
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(cos (* -1 (/ (* x (pow (sqrt 1/2) 2)) y))) |
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(cos (* -1 (/ (* x (pow (sqrt 1/2) 2)) y))) |
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(cos (* -1 (/ (* x (pow (sqrt 1/2) 2)) y))) |
(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 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x) |
(/ (+ (* 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) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x) |
(/ (+ (* 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) |
(* 1/8 (/ (pow x 2) y)) |
(*.f64 (*.f64 x (/.f64 x y)) #s(literal 1/8 binary64)) |
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) y) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) |
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) y) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) |
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) y) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y 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 (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))) (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)) |
(* 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 (exp (* -1 (+ (log y) (log (/ 2 x)))))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) (pow.f64 y #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))) (sin (exp (* -1 (+ (log y) (log (/ 2 x)))))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) (pow.f64 y #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))) (sin (exp (* -1 (+ (log y) (log (/ 2 x)))))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) (pow.f64 y #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))) (sin (exp (* -1 (+ (log y) (log (/ 2 x)))))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) (pow.f64 y #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 y) |
(/.f64 #s(literal -1/2 binary64) y) |
(/ -1/2 y) |
(/.f64 #s(literal -1/2 binary64) y) |
(/ -1/2 y) |
(/.f64 #s(literal -1/2 binary64) y) |
(/ -1/2 y) |
(/.f64 #s(literal -1/2 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)) |
(* (pow x 2) y) |
(*.f64 (*.f64 x x) y) |
(* (pow x 2) y) |
(*.f64 (*.f64 x x) y) |
(* (pow x 2) y) |
(*.f64 (*.f64 x x) y) |
(* (pow x 2) y) |
(*.f64 (*.f64 x x) y) |
(cos (* 1/2 (/ x y))) |
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(cos (* 1/2 (/ x y))) |
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(cos (* 1/2 (/ x y))) |
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(cos (* 1/2 (/ x y))) |
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (exp (* -1 (+ (log y) (log (/ 2 x)))))) |
(sin.f64 (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))) |
(sin (exp (* -1 (+ (log y) (log (/ 2 x)))))) |
(sin.f64 (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))) |
(sin (exp (* -1 (+ (log y) (log (/ 2 x)))))) |
(sin.f64 (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))) |
(sin (exp (* -1 (+ (log y) (log (/ 2 x)))))) |
(sin.f64 (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))) |
(+ (log y) (log (/ 2 x))) |
(+.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) (log.f64 y)) |
(+ (log y) (log (/ 2 x))) |
(+.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) (log.f64 y)) |
(+ (log y) (log (/ 2 x))) |
(+.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) (log.f64 y)) |
(+ (log y) (log (/ 2 x))) |
(+.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) (log.f64 y)) |
(* (sqrt (/ x y)) (sqrt 1/2)) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 x y))) |
(* (sqrt (/ x y)) (sqrt 1/2)) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 x y))) |
(* (sqrt (/ x y)) (sqrt 1/2)) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 x y))) |
(* (sqrt (/ x y)) (sqrt 1/2)) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 x y))) |
(* -1 (/ (* x (pow (sqrt 1/2) 2)) y)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 x y)) |
(* -1 (/ (* x (pow (sqrt 1/2) 2)) y)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 x y)) |
(* -1 (/ (* x (pow (sqrt 1/2) 2)) y)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 x y)) |
(* -1 (/ (* x (pow (sqrt 1/2) 2)) y)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 x y)) |
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) x) x) (/.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)) y) y) #s(literal 1 binary64)) |
(- (+ 1 (* -1 (/ (+ (* -1/4 (* (pow x 4) (pow (sqrt 1/2) 8))) (* 1/24 (* (pow x 4) (pow (sqrt 1/2) 8)))) (pow y 4)))) (* -1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 4)) (pow y 2)))) |
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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))) |
(/ (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))) (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)) |
(* 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 (exp (* -1 (+ (log (* -2 y)) (log (/ -1 x)))))))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (*.f64 (sin.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) y) #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))) (sin (exp (* -1 (+ (log (* -2 y)) (log (/ -1 x)))))))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (*.f64 (sin.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) y) #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))) (sin (exp (* -1 (+ (log (* -2 y)) (log (/ -1 x)))))))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (*.f64 (sin.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) y) #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))) (sin (exp (* -1 (+ (log (* -2 y)) (log (/ -1 x)))))))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (*.f64 (sin.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) y) #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)) |
(* (pow x 2) y) |
(*.f64 (*.f64 x x) y) |
(* (pow x 2) y) |
(*.f64 (*.f64 x x) y) |
(* (pow x 2) y) |
(*.f64 (*.f64 x x) y) |
(* (pow x 2) y) |
(*.f64 (*.f64 x x) y) |
(cos (* 1/2 (/ x y))) |
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(cos (* 1/2 (/ x y))) |
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(cos (* 1/2 (/ x y))) |
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(cos (* 1/2 (/ x y))) |
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (exp (* -1 (+ (log (* -2 y)) (log (/ -1 x)))))) |
(sin.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal -1 binary64)))) |
(sin (exp (* -1 (+ (log (* -2 y)) (log (/ -1 x)))))) |
(sin.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal -1 binary64)))) |
(sin (exp (* -1 (+ (log (* -2 y)) (log (/ -1 x)))))) |
(sin.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal -1 binary64)))) |
(sin (exp (* -1 (+ (log (* -2 y)) (log (/ -1 x)))))) |
(sin.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal -1 binary64)))) |
(+ (log (* -2 y)) (log (/ -1 x))) |
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (*.f64 #s(literal -2 binary64) y))) |
(+ (log (* -2 y)) (log (/ -1 x))) |
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (*.f64 #s(literal -2 binary64) y))) |
(+ (log (* -2 y)) (log (/ -1 x))) |
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (*.f64 #s(literal -2 binary64) y))) |
(+ (log (* -2 y)) (log (/ -1 x))) |
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (*.f64 #s(literal -2 binary64) y))) |
| 4 446× | lower-*.f32 |
| 4 426× | lower-*.f64 |
| 4 006× | lower-/.f32 |
| 3 978× | lower-/.f64 |
| 3 458× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 334 |
| 0 | 102 | 333 |
| 1 | 323 | 238 |
| 2 | 1817 | 238 |
| 0 | 8146 | 236 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))))) |
(cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) y))) |
#s(approx (+ (* (/ 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 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) y) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) |
(/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) y)) |
(/.f64 (tan.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) y))) |
(*.f64 x x) |
(/.f64 #s(approx (tan (/ (/ -1/2 y) (/ -1 x))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
#s(approx (tan (/ (/ -1/2 y) (/ -1 x))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(/.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)) |
(/.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 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))))) |
(tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) |
(/.f64 #s(literal -1/2 binary64) y) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(*.f64 (*.f64 x x) y) |
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)))) |
(log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 x))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) |
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 (/.f64 x y)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) y)) (sqrt.f64 (/.f64 x (*.f64 x x)))) |
(*.f64 (sqrt.f64 (/.f64 x (*.f64 x x))) (sqrt.f64 (/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) y))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) x)) (sqrt.f64 (/.f64 x (*.f64 y x)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) x)) (sqrt.f64 (*.f64 (/.f64 x x) (/.f64 x y)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 x x) x)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 x y)))) |
(*.f64 (sqrt.f64 (/.f64 x x)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (/.f64 x y) x)))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)) (sqrt.f64 (/.f64 x (*.f64 (*.f64 x x) y)))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)) (sqrt.f64 (*.f64 x (/.f64 (pow.f64 x #s(literal -2 binary64)) y)))) |
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 3/4 binary64))) (sqrt.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/4 binary64)))) |
(*.f64 (sqrt.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/4 binary64))) (sqrt.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 3/4 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) y) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))) |
(*.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) y)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) y))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 x x))) (sqrt.f64 (*.f64 x x))) |
(*.f64 (sqrt.f64 (*.f64 x x)) (sqrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 x x)))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 x x))) (sqrt.f64 (*.f64 (/.f64 x y) x))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 x y) x)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 x x)))) |
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 x x) x))) (sqrt.f64 (/.f64 x y))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y)) (sqrt.f64 (neg.f64 x))) |
(*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))))) |
(*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 (pow.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/4 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (*.f64 x x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 x (*.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) y) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (*.f64 y x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 x x) (/.f64 x y)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 x x) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 x y)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 x x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (/.f64 x y) x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (*.f64 (*.f64 x x) y)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (/.f64 (pow.f64 x #s(literal -2 binary64)) y)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) y) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) y) #s(literal 1/2 binary64))) |
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(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal -1 binary64))) |
(neg.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(neg.f64 (sin.f64 (*.f64 (/.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))) y) #s(literal 1 binary64)))) |
(neg.f64 (sin.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) y)))) |
(neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) |
(sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 y x) x) |
(*.f64 (*.f64 x x) y) |
(*.f64 y (*.f64 x x)) |
(*.f64 x (*.f64 y x)) |
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1 binary64)) |
(/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64))) |
(fma.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(cos.f64 (*.f64 (/.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))) y) #s(literal 1 binary64))) |
(cos.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) y))) |
(cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) |
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
(neg.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(neg.f64 (sin.f64 (*.f64 (/.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))) y) #s(literal 1 binary64)))) |
(neg.f64 (sin.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) y)))) |
(neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))) |
(sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (log.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 y x)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (-.f64 (*.f64 (log.f64 (/.f64 y x)) (log.f64 (/.f64 y x))) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 y x)))))) |
(/.f64 (+.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) (neg.f64 (log.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) (log.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) x))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) (log.f64 x))))) |
(neg.f64 (log.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(neg.f64 (log.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal -1 binary64) (log.f64 x) (log.f64 (*.f64 #s(literal 2 binary64) y))) |
(-.f64 (/.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) x)))) |
(-.f64 (/.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) (log.f64 x))))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) (log.f64 x)))))) |
(-.f64 (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))) (log.f64 x)) |
(-.f64 (log.f64 (*.f64 (/.f64 (*.f64 y x) x) (/.f64 x x))) (log.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(-.f64 (log.f64 (/.f64 (*.f64 (*.f64 x x) y) x)) (log.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x))) |
(-.f64 (log.f64 (*.f64 (/.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 y x))) (log.f64 (*.f64 x x))) |
(-.f64 (log.f64 (neg.f64 (*.f64 #s(literal -2 binary64) y))) (log.f64 (neg.f64 (neg.f64 x)))) |
(-.f64 (log.f64 (*.f64 (*.f64 (neg.f64 x) x) y)) (log.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))))) |
(-.f64 (log.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (log.f64 (pow.f64 y #s(literal -1 binary64)))) |
(-.f64 (log.f64 (*.f64 (*.f64 x x) y)) (log.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)))) |
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1/2 binary64) y))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) y)))) |
(-.f64 (neg.f64 (log.f64 x)) (log.f64 (/.f64 #s(literal 1/2 binary64) y))) |
(-.f64 (log.f64 (*.f64 #s(literal -2 binary64) y)) (log.f64 (neg.f64 x))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(-.f64 #s(literal 0 binary64) (log.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
(-.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) (log.f64 x)) |
(+.f64 (log.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) (log.f64 (neg.f64 y))) |
(+.f64 (log.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (log.f64 y)) |
(+.f64 (log.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (log.f64 (*.f64 #s(literal -2 binary64) y))) |
(+.f64 (log.f64 (/.f64 x (*.f64 (*.f64 x #s(literal 1/2 binary64)) x))) (log.f64 (/.f64 (*.f64 y x) x))) |
(+.f64 (log.f64 (/.f64 x (*.f64 x #s(literal 1/2 binary64)))) (log.f64 (*.f64 (/.f64 x x) (/.f64 y x)))) |
(+.f64 (log.f64 (/.f64 x (*.f64 x x))) (log.f64 (*.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 y x)))) |
(+.f64 (log.f64 (/.f64 y (*.f64 (*.f64 x #s(literal 1/2 binary64)) x))) (log.f64 (/.f64 (*.f64 x x) x))) |
(+.f64 (log.f64 (/.f64 (*.f64 x x) x)) (log.f64 (/.f64 y (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)))) |
(+.f64 (log.f64 (/.f64 x x)) (log.f64 (*.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 y (*.f64 x x))))) |
(+.f64 (log.f64 (*.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 x (*.f64 x x)))) (log.f64 (/.f64 y x))) |
(+.f64 (log.f64 (*.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 x x))) (log.f64 (/.f64 y (*.f64 x x)))) |
(+.f64 (log.f64 (/.f64 y (*.f64 x x))) (log.f64 (*.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 x x)))) |
(+.f64 (log.f64 (*.f64 (*.f64 x x) y)) (log.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(+.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal 0 binary64)) |
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (*.f64 #s(literal -2 binary64) y))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) y) x)))) |
(+.f64 (log.f64 (*.f64 x x)) (log.f64 (/.f64 y (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))))) |
(+.f64 (neg.f64 (log.f64 x)) (log.f64 (*.f64 #s(literal 2 binary64) y))) |
(+.f64 (log.f64 (*.f64 #s(literal -2 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+.f64 (log.f64 (/.f64 y x)) (log.f64 (*.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 x (*.f64 x x))))) |
(+.f64 (log.f64 (/.f64 y x)) (log.f64 #s(literal 2 binary64))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 y x))) |
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 2 binary64) x))) |
(+.f64 (log.f64 y) (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -1 binary64))))) |
(+.f64 (log.f64 y) (log.f64 (*.f64 (/.f64 x (pow.f64 x #s(literal 3 binary64))) (/.f64 x #s(literal 1/2 binary64))))) |
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))) |
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))) |
(+.f64 (log.f64 x) (log.f64 (*.f64 (/.f64 x (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) y)))) |
(+.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) (neg.f64 (log.f64 x))) |
(log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) |
Compiled 45 760 to 5 270 computations (88.5% saved)
143 alts after pruning (134 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 954 | 67 | 2 021 |
| Fresh | 26 | 67 | 93 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 981 | 143 | 2 124 |
| Status | Accuracy | Program |
|---|---|---|
| 46.1% | (pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 48.7% | (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)) | |
| 48.7% | (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1/2 binary64)) | |
| 37.3% | (/.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))))) | |
| 31.5% | (/.f64 (/.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))))) | |
| 15.2% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 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)))) | |
| 31.4% | (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))))) | |
| 34.7% | (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (neg.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) | |
| 31.5% | (/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))))) | |
| 31.0% | (/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/4 binary64)) #s(literal 4 binary64))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))))) | |
| 33.7% | (/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/4 binary64)) #s(literal 4 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 31.3% | (/.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))))) | |
| 34.4% | (/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))))) | |
| 31.4% | (/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 31.2% | (/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))))) | |
| 31.6% | (/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 31.6% | (/.f64 (tan.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal -2 binary64))) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64))))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))))) | |
| 34.0% | (/.f64 (tan.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal -2 binary64))) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 34.2% | (/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)))) | |
| 33.1% | (/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) (log.f64 x)))))))) | |
| 23.0% | (/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) x)))))) | |
| 33.5% | (/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) (log.f64 x))))) | |
| 33.3% | (/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 2 binary64) x)))))) | |
| ✓ | 31.6% | (/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))))) |
| ✓ | 36.9% | (/.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))))) |
| 31.5% | (/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal 2 binary64)))))) | |
| 31.2% | (/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y x)))))) | |
| 12.0% | (/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (/.f64 #s(literal 1/2 binary64) (*.f64 y x))))) | |
| 20.2% | (/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (*.f64 (/.f64 (*.f64 (neg.f64 x) x) y) (/.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x x))))) | |
| 17.0% | (/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (*.f64 (/.f64 x (neg.f64 x)) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 y x))))) | |
| 14.5% | (/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) y)) (*.f64 (neg.f64 x) x)) x))) | |
| 34.2% | (/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) | |
| 23.4% | (/.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))))) | |
| 17.7% | (/.f64 (tan.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)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| ✓ | 11.2% | (/.f64 (tan.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 10.4% | (/.f64 (tan.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 17.0% | (/.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))))) | |
| 10.4% | (/.f64 (tan.f64 (/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 31.5% | (/.f64 (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))))) | |
| 33.9% | (/.f64 (tan.f64 (/.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 (log.f64 y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 34.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)))) | |
| 31.6% | (/.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)))) | |
| 13.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))))) | |
| 17.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(approx (- 0 (* (* -2 y) (* x -1/2))) (*.f64 (neg.f64 y) x)) (*.f64 (*.f64 #s(literal -2 binary64) y) y)))) | |
| ✓ | 37.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 34.1% | (/.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))))))) | |
| 31.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal 2 binary64)))))) | |
| 31.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y x)))))) | |
| 12.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (/.f64 #s(literal 1/2 binary64) (*.f64 y x))))) | |
| 23.3% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x) (*.f64 #s(literal -2 binary64) y)) (pow.f64 y #s(literal -1 binary64))))) | |
| 20.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (*.f64 (/.f64 x y) x) (/.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 (neg.f64 x) x))))) | |
| 14.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y))))) | |
| 21.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal -4 binary64) (*.f64 y y)))))) | |
| 33.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) (log.f64 y))))) | |
| 34.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (-.f64 (log.f64 x) (log.f64 (*.f64 #s(literal 2 binary64) y)))))) | |
| 31.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (/.f64 (-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 (log.f64 (/.f64 y x)) (log.f64 (/.f64 y x)))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 y x)))) #s(literal -1 binary64))))) | |
| 34.3% | (/.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)))))) | |
| 31.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (exp.f64 (neg.f64 (*.f64 (log.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))))) | |
| 32.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ (- 0 (* (* -2 y) (* x -1/2))) (* (* -2 y) y))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| 34.5% | (/.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))))) | |
| 34.3% | (/.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))))) | |
| 31.5% | (/.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 31.7% | (/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))))) | |
| 35.0% | (/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 31.5% | (/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))))) | |
| 34.5% | (/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 31.1% | (/.f64 (tan.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) y))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 x))))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))))) | |
| 31.6% | (/.f64 (tan.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y x))))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))))) | |
| 31.9% | (/.f64 (tan.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y x))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 31.3% | (/.f64 (tan.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y x))))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))))) | |
| 21.5% | (/.f64 (tan.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (neg.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))))) | |
| 20.1% | (/.f64 (tan.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (neg.f64 x) x)) (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) y))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))))) | |
| 19.1% | (/.f64 (tan.f64 (*.f64 (/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) y) (/.f64 x (*.f64 x x)))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))))) | |
| 20.7% | (/.f64 (tan.f64 (*.f64 (/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) y) (/.f64 x (*.f64 x x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 15.4% | (/.f64 (tan.f64 (*.f64 (/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) x) (/.f64 x (*.f64 y x)))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))))) | |
| 18.9% | (/.f64 (tan.f64 (*.f64 (/.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (*.f64 (neg.f64 x) (/.f64 x y)))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))))) | |
| 20.9% | (/.f64 (tan.f64 (*.f64 (/.f64 x y) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 x x) x)))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))))) | |
| 37.2% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 31.6% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))))) | |
| 13.1% | (/.f64 (tan.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) y)) (*.f64 (neg.f64 x) x)) x)) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))))) | |
| 14.6% | (/.f64 (tan.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (/.f64 x (*.f64 (*.f64 x x) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 32.1% | (/.f64 (tan.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 x y)))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))))) | |
| 36.6% | (/.f64 (tan.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 31.2% | (/.f64 (tan.f64 (*.f64 (exp.f64 (log.f64 (/.f64 x y))) (exp.f64 (log.f64 #s(literal 1/2 binary64))))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))))) | |
| 33.8% | (/.f64 (tan.f64 (*.f64 (exp.f64 (log.f64 (/.f64 x y))) (exp.f64 (log.f64 #s(literal 1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 31.3% | (/.f64 (tan.f64 (*.f64 (exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 x))))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))))) | |
| 33.5% | (/.f64 (tan.f64 (*.f64 (exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 x))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 33.9% | (/.f64 (tan.f64 (*.f64 (exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y))) (exp.f64 (log.f64 x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 31.5% | (/.f64 (tan.f64 (exp.f64 (log.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))))) | |
| 33.7% | (/.f64 (tan.f64 (exp.f64 (log.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 34.6% | (/.f64 (tan.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))))) | |
| 37.4% | (/.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))) | |
| 37.5% | (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) | |
| 17.6% | (/.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)))) | |
| 17.6% | (/.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)))) | |
| 37.2% | (/.f64 #s(approx (tan (/ (/ -1/2 y) (/ -1 x))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| ✓ | 37.2% | (/.f64 #s(approx (tan (/ (/ -1/2 y) (/ -1 x))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 32.8% | (/.f64 #s(approx (tan (/ (/ -1/2 y) (/ -1 x))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(approx (cos (* (/ 1/2 y) x)) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (*.f64 x (/.f64 x y)) #s(literal 1 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 36.4% | (/.f64 #s(approx (tan (/ (/ -1/2 y) (/ -1 x))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(approx (cos (* (/ 1/2 y) x)) #s(literal 1 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 32.6% | (/.f64 #s(approx (tan (/ (/ -1/2 y) (/ -1 x))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 37.5% | (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) | |
| 34.8% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) | |
| 49.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)))) | |
| 49.6% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) | |
| 49.1% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))))) | |
| 49.3% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/4 binary64)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))))) | |
| 50.3% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))))) | |
| 48.7% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal 1/2 binary64))))))) | |
| 48.9% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))))) | |
| 48.7% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal -2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64)))))))) | |
| 36.1% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) x)) (sqrt.f64 (*.f64 y x))))))) | |
| 49.0% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 #s(literal 2 binary64))))))) | |
| 49.5% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))))))) | |
| 49.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 y x))))))) | |
| 41.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) x)) (sqrt.f64 (/.f64 x (*.f64 y x)))))))) | |
| 49.3% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 #s(literal 1/2 binary64))))))) | |
| 49.3% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)) (sqrt.f64 x)))))) | |
| 47.6% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 x y) x)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 x x)))))))) | |
| 49.5% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))))))) | |
| 49.1% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))))))) | |
| 48.8% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (exp.f64 (fma.f64 (log.f64 (/.f64 x y)) #s(literal 1/2 binary64) (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))))) | |
| 49.0% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))))))) | |
| 21.8% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 y)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) | |
| 34.9% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 y x))))) | |
| 27.0% | (/.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)))) | |
| 41.1% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y x)) (/.f64 (*.f64 x #s(literal -1/2 binary64)) x)))) | |
| 41.3% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y x))))) | |
| 46.5% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (neg.f64 y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 x x) x))))) | |
| 49.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) | |
| 27.7% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (/.f64 x y) x) (/.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x x))))) | |
| 49.4% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 x y))))) | |
| 24.8% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) y))))) | |
| 49.6% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))))) | |
| 49.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))))) | |
| ✓ | 49.3% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
| 49.1% | (/.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)))))) | |
| 45.0% | (/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))) | |
| 34.8% | (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) | |
| ✓ | 41.6% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64))) |
| 20.1% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 y y)))) | |
| ✓ | 21.0% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) y))) |
| 2.9% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x))) | |
| ✓ | 50.1% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
Compiled 7 276 to 3 102 computations (57.4% saved)
| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 y y)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
#s(approx (/ (tan (/ x (/ (- 0 (pow (* -2 y) 3)) (pow (* 2 y) 2)))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) |
(/.f64 #s(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 (/ x (/ (- 0 (pow (* -2 y) 3)) (pow (* 2 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) (/ -1 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 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ (- 0 (* (* -2 y) (* x -1/2))) (* (* -2 y) y))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (/.f64 x y) x) (/.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y x)) (/.f64 (*.f64 x #s(literal -1/2 binary64)) x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (neg.f64 y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 x x) x))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) 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 (*.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 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)) (*.f64 y x)) 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 (neg.f64 (pow.f64 x #s(literal 3 binary64))) y) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 y)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
(/.f64 #s(approx (tan (/ (/ -1/2 y) (/ -1 x))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(approx (cos (* (/ 1/2 y) x)) #s(literal 1 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(approx (- 0 (* (* -2 y) (* x -1/2))) (*.f64 (neg.f64 y) x)) (*.f64 (*.f64 #s(literal -2 binary64) y) 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 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal -4 binary64) (*.f64 y 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 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) |
(/.f64 (tan.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (/.f64 x (*.f64 (*.f64 x x) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
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(/.f64 (tan.f64 (*.f64 (exp.f64 (log.f64 (/.f64 x y))) (exp.f64 (log.f64 #s(literal 1/2 binary64))))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))))) |
(/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)))) (-.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) (neg.f64 (log.f64 x)))) #s(literal -1 binary64))))) |
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) x)))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (/.f64 (-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 (log.f64 (/.f64 y x)) (log.f64 (/.f64 y x)))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 y x)))) #s(literal -1 binary64))))) |
(/.f64 (tan.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) y))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 x))))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))))) |
(/.f64 (tan.f64 (*.f64 (exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 x))))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))))) |
(/.f64 (tan.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y x))))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))))) |
(/.f64 (tan.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y x))))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))))) |
(/.f64 (tan.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal -2 binary64))) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64))))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 y x)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (-.f64 (*.f64 (log.f64 (/.f64 y x)) (log.f64 (/.f64 y x))) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 y x)))))) #s(literal -1 binary64))))) |
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) (log.f64 x)))))))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
5 calls:
| 91.0ms | y |
| 91.0ms | (*.f64 y #s(literal 2 binary64)) |
| 60.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 58.0ms | x |
| 54.0ms | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.3% | 1 | x |
| 50.3% | 1 | y |
| 52.2% | 2 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 52.2% | 2 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 50.3% | 1 | (*.f64 y #s(literal 2 binary64)) |
Compiled 23 to 21 computations (8.7% saved)
| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 y y)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
#s(approx (/ (tan (/ x (/ (- 0 (pow (* -2 y) 3)) (pow (* 2 y) 2)))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) |
(/.f64 #s(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 (/ x (/ (- 0 (pow (* -2 y) 3)) (pow (* 2 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) (/ -1 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 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ (- 0 (* (* -2 y) (* x -1/2))) (* (* -2 y) y))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (/.f64 x y) x) (/.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y x)) (/.f64 (*.f64 x #s(literal -1/2 binary64)) x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (neg.f64 y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 x x) x))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) 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 (*.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 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)) (*.f64 y x)) 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 (neg.f64 (pow.f64 x #s(literal 3 binary64))) y) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 y)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
(/.f64 #s(approx (tan (/ (/ -1/2 y) (/ -1 x))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(approx (cos (* (/ 1/2 y) x)) #s(literal 1 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(approx (- 0 (* (* -2 y) (* x -1/2))) (*.f64 (neg.f64 y) x)) (*.f64 (*.f64 #s(literal -2 binary64) y) 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 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal -4 binary64) (*.f64 y 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 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) |
(/.f64 (tan.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (/.f64 x (*.f64 (*.f64 x x) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) y)) (*.f64 (neg.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 (*.f64 (neg.f64 x) x) (/.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y))))) |
(/.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) (neg.f64 x))) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (*.f64 (/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) y) (/.f64 x (*.f64 x x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)) (sqrt.f64 x)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))))))) |
(/.f64 (tan.f64 (*.f64 (/.f64 (*.f64 (neg.f64 x) x) y) (/.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 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 (*.f64 (/.f64 x y) x) (/.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 (neg.f64 x) x))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) y))))) |
(/.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 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ (- 0 (* (* -2 y) (* x -1/2))) (* (* -2 y) y))) (/.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 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 y x))))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 #s(literal 2 binary64))))))) |
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) x)) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) y)) (*.f64 (neg.f64 x) x)) x))) |
(/.f64 (tan.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(approx (tan (/ (/ -1/2 y) (/ -1 x))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(approx (cos (* (/ 1/2 y) x)) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (*.f64 x (/.f64 x y)) #s(literal 1 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (*.f64 (/.f64 x (neg.f64 x)) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 y x))))) |
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (*.f64 (/.f64 (*.f64 (neg.f64 x) x) y) (/.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x x))))) |
(/.f64 (tan.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)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) x)) (sqrt.f64 (/.f64 x (*.f64 y x)))))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 x y) x)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 x x)))))))) |
(/.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))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))))))) |
(pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(/.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)))))) |
(*.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)))) |
(pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1/2 binary64)) |
(pow.f64 (*.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)) |
(/.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)))))) |
(/.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))) |
(/.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 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (neg.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 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (pow.f64 y #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)))) |
(/.f64 (tan.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) y)))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (/.f64 #s(literal 1/2 binary64) (*.f64 y x))))) |
(/.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 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)))) |
(/.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 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x) (*.f64 #s(literal -2 binary64) y)) (pow.f64 y #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (*.f64 (*.f64 (/.f64 x (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) y) #s(literal 2 binary64))) (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 y y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(approx (tan (/ x (/ (- 0 (pow (* -2 y) 3)) (pow (* 2 y) 2)))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(approx (tan (/ (/ -1/2 y) (/ -1 x))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(approx (tan (/ (/ -1/2 y) (/ -1 x))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)))) |
(/.f64 (tan.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (/.f64 #s(literal 1/2 binary64) (*.f64 y x))))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (neg.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/4 binary64)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) x)) (sqrt.f64 (*.f64 y x))))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 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 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))))) |
(/.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))))) |
(/.f64 (tan.f64 (exp.f64 (log.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/4 binary64)) #s(literal 4 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)) (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) |
(/.f64 (tan.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (exp.f64 (neg.f64 (*.f64 (log.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))))))) |
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (neg.f64 x) x) y))))) |
(/.f64 (tan.f64 (/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) y))) (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 (/.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 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (neg.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))))) |
(/.f64 (tan.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) y)) (*.f64 (neg.f64 x) x)) x)) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (-.f64 (log.f64 x) (log.f64 (*.f64 #s(literal 2 binary64) y)))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) (log.f64 y))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))))) |
(/.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 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))))) |
(/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 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 (tan.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) 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 (/ x (* y 2)))) #s(literal 1 binary64)) |
2 calls:
| 58.0ms | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 40.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.1% | 1 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 51.9% | 2 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 y y)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
#s(approx (/ (tan (/ x (/ (- 0 (pow (* -2 y) 3)) (pow (* 2 y) 2)))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
| 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)) |
4 calls:
| 14.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 4.0ms | x |
| 4.0ms | y |
| 4.0ms | (*.f64 y #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.1% | 1 | y |
| 50.1% | 1 | (*.f64 y #s(literal 2 binary64)) |
| 50.1% | 1 | x |
| 51.7% | 2 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
Compiled 10 to 13 computations (-30% saved)
Total -31.2b remaining (-97.6%)
Threshold costs -31.2b (-97.6%)
| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 y y)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
#s(approx (/ (tan (/ x (/ (- 0 (pow (* -2 y) 3)) (pow (* 2 y) 2)))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
| Outputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
1 calls:
| 10.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.1% | 1 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
Compiled 5 to 5 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.9998168336077043e+284 | 1.0789583282896049e+285 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.7390760785926335e+172 | 7.908531992115884e+176 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 25404621641828116.0 | 1.6486820261210604e+21 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | egg-herbie |
| 16× | *-commutative-binary64-*.f64 |
| 6× | neg-sub0-binary64--.f64-neg.f64 |
| 6× | +-commutative-binary64-+.f64 |
| 6× | neg-mul-1-binary64-*.f64-neg.f64 |
| 6× | sub-neg-binary64-neg.f64-+.f64--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 121 |
| 1 | 53 | 121 |
| 2 | 61 | 121 |
| 3 | 67 | 121 |
| 4 | 70 | 121 |
| 5 | 71 | 121 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 200000000000000015842876501691535308251363838339942186816779868466887151795034205545089069114411529059504325666588836124813676426230104197677563914641752713707086241642983763505789334141041164451549418938435594261010114368138763297090749546488747114934452621501484084432923307385290752 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.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 100000000000000001403918625579970521782461970570129136093830042945021304548650108108184133243565686844612285763778101906192989276863139689872767772084421689716760605683089408 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 50000000000000000 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))) |
#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 200000000000000015842876501691535308251363838339942186816779868466887151795034205545089069114411529059504325666588836124813676426230104197677563914641752713707086241642983763505789334141041164451549418938435594261010114368138763297090749546488747114934452621501484084432923307385290752 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.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 #s(literal 2 binary64) y)) #s(literal 200000000000000015842876501691535308251363838339942186816779868466887151795034205545089069114411529059504325666588836124813676426230104197677563914641752713707086241642983763505789334141041164451549418938435594261010114368138763297090749546488747114934452621501484084432923307385290752 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #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 100000000000000001403918625579970521782461970570129136093830042945021304548650108108184133243565686844612285763778101906192989276863139689872767772084421689716760605683089408 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 100000000000000001403918625579970521782461970570129136093830042945021304548650108108184133243565686844612285763778101906192989276863139689872767772084421689716760605683089408 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 50000000000000000 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 50000000000000000 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))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
| 14 468× | lower-fma.f64 |
| 14 468× | lower-fma.f32 |
| 6 082× | lower-+.f64 |
| 6 082× | lower-+.f32 |
| 5 448× | lower-*.f64 |
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 |
| 0 | 316 | 2054 |
| 1 | 950 | 2028 |
| 2 | 3392 | 1926 |
| 0 | 9111 | 1817 |
| 0 | 63 | 334 |
| 0 | 102 | 333 |
| 1 | 323 | 238 |
| 2 | 1817 | 238 |
| 0 | 8146 | 236 |
| 0 | 44 | 212 |
| 0 | 76 | 184 |
| 1 | 228 | 162 |
| 2 | 1154 | 156 |
| 0 | 8126 | 156 |
| 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 |
Compiled 197 to 116 computations (41.1% saved)
Compiled 352 to 206 computations (41.5% saved)
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