
Time bar (total: 10.7s)
| 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)
| 1.7s | 4 038× | 1 | valid |
| 313.0ms | 4 218× | 0 | valid |
ival-mult: 402.0ms (26% of total)ival-div: 381.0ms (24.6% of total)ival-tan: 328.0ms (21.2% of total)ival-sin: 306.0ms (19.8% of total)adjust: 117.0ms (7.6% of total)ival-true: 6.0ms (0.4% of total)exact: 5.0ms (0.3% of total)ival-assert: 4.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 128 | 0 | - | 0 | - | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| 128 | 0 | - | 0 | - | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| 32 | 0 | - | 0 | - | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 y #s(literal 2 binary64)) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sin.f64 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | sensitivity | 95 | 0 |
tan.f64 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | sensitivity | 95 | 0 |
sin.f64 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | oflow-rescue | 33 | 0 |
| ↳ | (/.f64 x (*.f64 y #s(literal 2 binary64))) | overflow | 33 | |
tan.f64 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | oflow-rescue | 33 | 0 |
| ↳ | (/.f64 x (*.f64 y #s(literal 2 binary64))) | overflow | 33 | |
/.f64 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | u/u | 32 | 0 |
| ↳ | (/.f64 x (*.f64 y #s(literal 2 binary64))) | underflow | 32 | |
| ↳ | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | underflow | 32 | |
| ↳ | (/.f64 x (*.f64 y #s(literal 2 binary64))) | underflow | 32 | |
| ↳ | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | underflow | 32 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 160 | 0 |
| - | 0 | 96 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 160 | 0 | 0 |
| - | 0 | 0 | 96 |
| number | freq |
|---|---|
| 0 | 96 |
| 1 | 32 |
| 2 | 128 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 46.0ms | 248× | 1 | valid |
| 22.0ms | 264× | 0 | valid |
Compiled 89 to 28 computations (68.5% saved)
ival-sin: 12.0ms (28.6% of total)ival-tan: 12.0ms (28.6% of total)ival-div: 10.0ms (23.8% of total)ival-mult: 4.0ms (9.5% of total)adjust: 3.0ms (7.1% 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 |
|---|---|---|
| ▶ | 42.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
Compiled 13 to 8 computations (38.5% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 x (*.f64 y #s(literal 2 binary64))) | |
| cost-diff | 0 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| cost-diff | 0 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 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 | 7.89071303362641 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| accuracy | 28.569313585653617 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 29.02953577579105 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| 22.0ms | 124× | 1 | valid |
| 12.0ms | 132× | 0 | valid |
Compiled 38 to 10 computations (73.7% saved)
ival-div: 9.0ms (35.9% of total)ival-sin: 6.0ms (23.9% of total)ival-tan: 6.0ms (23.9% of total)adjust: 2.0ms (8% of total)ival-mult: 2.0ms (8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#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 (/ (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)))) |
| 4.0ms | y | @ | -inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (sin (/ x (* y 2)))) |
| 2.0ms | y | @ | 0 | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (sin (/ x (* y 2)))) |
| 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)))) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) 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)) |
(-.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)
54 alts after pruning (53 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 626 | 53 | 679 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 626 | 54 | 680 |
| Status | Accuracy | Program |
|---|---|---|
| 52.4% | (pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 54.3% | (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1/2 binary64)) | |
| 42.0% | (/.f64 (/.f64 (-.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 (neg.f64 x) y))) (+.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (/.f64 (neg.f64 x) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 27.1% | (/.f64 (/.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))) (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 54.9% | (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal 0 binary64)))) | |
| 40.9% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y)))) #s(literal 2 binary64)) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) | |
| 40.4% | (/.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))))) | |
| 37.1% | (/.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))))) | |
| 27.2% | (/.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))))) | |
| 16.6% | (/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 23.5% | (/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) y) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 14.7% | (/.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))))) | |
| 23.4% | (/.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))))) | |
| 23.5% | (/.f64 (tan.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.9% | (/.f64 (tan.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 18.2% | (/.f64 (tan.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 40.8% | (/.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)))) | |
| 40.1% | (/.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)))) | |
| 27.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) (/.f64 x y))) (*.f64 #s(literal -2 binary64) y)) (*.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 #s(literal -2 binary64) (/.f64 x y)))))) | |
| ▶ | 23.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) y) y)))) |
| 23.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y)))) | |
| 42.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)))))) | |
| ▶ | 27.1% | (/.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))))) |
| ✓ | 42.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 39.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))))))) | |
| 40.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) | |
| 42.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) y)))) | |
| 41.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x)))) | |
| 22.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) y)))) | |
| 41.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| 37.1% | (/.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))))) | |
| 37.2% | (/.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))))) | |
| 34.6% | (/.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))) | |
| 38.3% | (/.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))) | |
| 38.2% | (/.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))))) | |
| 40.4% | (/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 40.9% | (/.f64 (tan.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.8% | (/.f64 (tan.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| ▶ | 14.0% | (/.f64 (tan.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 41.8% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 37.2% | (/.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))))) | |
| 42.0% | (/.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))) | |
| 18.9% | (/.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)))) | |
| 18.9% | (/.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)))) | |
| 38.1% | (/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 54.9% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) | |
| 40.1% | (*.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))))) | |
| 40.8% | (*.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)))) | |
| 38.5% | (*.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))))) | |
| 40.8% | (*.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)))) | |
| 40.8% | (*.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))))) | |
| ▶ | 49.5% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) |
| 54.6% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) | |
| ▶ | 55.1% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
Compiled 2 043 to 1 460 computations (28.5% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (tan.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| cost-diff | 128 | (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))) | |
| cost-diff | 128 | (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) | |
| cost-diff | 13568 | (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) | |
| 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 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) y))))) | |
| cost-diff | 1344 | (/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) y)) | |
| cost-diff | 6272 | (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) | |
| 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)) |
| 6 512× | lower-fma.f32 |
| 6 510× | lower-fma.f64 |
| 4 870× | lower-*.f32 |
| 4 854× | lower-*.f64 |
| 2 008× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 358 |
| 0 | 78 | 323 |
| 1 | 138 | 308 |
| 2 | 420 | 257 |
| 3 | 3160 | 257 |
| 0 | 8075 | 257 |
| 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 x (/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) y))))) |
(tan.f64 (/.f64 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 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) y)))) |
(/.f64 x (/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) y))) |
(/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) y)) |
(neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) |
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
(*.f64 #s(literal -2 binary64) y) |
#s(literal -2 binary64) |
(/.f64 (tan.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) |
(/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) |
(neg.f64 x) |
x |
(neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))) |
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 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)) |
(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 x (/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) y))))) |
(/.f64 (tan.f64 (*.f64 (/.f64 #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 x (/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) y)))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(/.f64 x (/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) y))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) y)) |
(*.f64 #s(literal 2 binary64) y) |
(neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) |
(*.f64 #s(literal -4 binary64) (*.f64 y y)) |
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
(*.f64 #s(literal -2 binary64) y) |
#s(literal -2 binary64) |
(/.f64 (tan.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (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 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) |
(tan.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 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) |
(*.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 3 binary64)))) |
(/.f64 x (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))) |
(neg.f64 x) |
x |
(neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))) |
(pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 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)) |
(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 | 7.89071303362641 | (/.f64 (tan.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| accuracy | 28.569313585653617 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 29.02953577579105 | (tan.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) | |
| accuracy | 36.670159445366735 | (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) | |
| accuracy | 7.89071303362641 | (/.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))))) | |
| accuracy | 28.569313585653617 | (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)))) | |
| accuracy | 28.710374628512373 | (/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) y)) | |
| accuracy | 29.02953577579105 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 7.89071303362641 | (/.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 | 21.54333012237543 | (/.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 | 28.569313585653617 | (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 | 29.02953577579105 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 1.7080980571265938 | (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) | |
| accuracy | 6.377736848310342 | (/.f64 (*.f64 x x) y) | |
| accuracy | 31.390943576155756 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) | |
| accuracy | 28.741232124956355 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
| 145.0ms | 124× | 1 | valid |
| 109.0ms | 132× | 0 | valid |
Compiled 348 to 43 computations (87.6% saved)
ival-div: 87.0ms (38.7% of total)adjust: 66.0ms (29.4% of total)ival-tan: 24.0ms (10.7% of total)ival-sin: 17.0ms (7.6% of total)ival-mult: 16.0ms (7.1% of total)ival-neg: 4.0ms (1.8% of total)ival-pow: 4.0ms (1.8% of total)ival-sub: 2.0ms (0.9% of total)ival-add: 2.0ms (0.9% of total)ival-pow2: 2.0ms (0.9% 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 #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 (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 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) y)) (patch (/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) y)) #<representation:binary64>) () ()) |
#s(alt (/.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))))) (patch (/.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))))) #<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 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (patch (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) #<representation:binary64>) () ()) |
#s(alt (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (patch (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) #<representation:binary64>) () ()) |
#s(alt (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))) (patch (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))) #<representation:binary64>) () ()) |
#s(alt (/.f64 (tan.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<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 x (/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) y)))) (patch (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)))) #<representation:binary64>) () ()) |
#s(alt (tan.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (patch (tan.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) #<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 (* -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 (* 2 y) (taylor 0 y) (#s(alt (/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) y)) (patch (/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) y)) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor 0 y) (#s(alt (/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) y)) (patch (/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) y)) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor 0 y) (#s(alt (/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) y)) (patch (/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) y)) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor 0 y) (#s(alt (/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) y)) (patch (/.f64 (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 x (/.f64 (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 x (/.f64 (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 x (/.f64 (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 x (/.f64 (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 x (/.f64 (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 x (/.f64 (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 x (/.f64 (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 x (/.f64 (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>) () ())) ()) |
#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 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (patch (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) #<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 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (patch (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) #<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 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (patch (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) #<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 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (patch (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
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#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt (/.f64 (tan.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation:binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt (/.f64 (tan.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation:binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt (/.f64 (tan.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation:binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt (/.f64 (tan.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation:binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<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 #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 x (/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) y)))) (patch (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)))) #<representation:binary64>) () ())) ()) |
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (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)))) (patch (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)))) #<representation:binary64>) () ())) ()) |
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (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)))) (patch (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)))) #<representation:binary64>) () ())) ()) |
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (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)))) (patch (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)))) #<representation:binary64>) () ())) ()) |
#s(alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt (tan.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (patch (tan.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt (tan.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (patch (tan.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt (tan.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (patch (tan.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt (tan.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (patch (tan.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) #<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 | |
|---|---|---|---|---|
| 6.0ms | x | @ | 0 | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/ 1/8 y) (/ (* x x) y) (/ (- 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 (pow (* 2 y) 2)) (/ (neg (pow (* 2 y) 2)) (* -2 y)) (/ (tan (/ x (* y 2))) (sin (/ x (/ (neg (pow (* 2 y) 2)) (* -2 y))))) (tan (/ x (* y 2))) (* (/ (neg x) (neg (pow (* 2 y) 3))) (pow (* 2 y) 2)) (/ (neg x) (neg (pow (* 2 y) 3))) (neg (pow (* 2 y) 3)) (/ (tan (* (/ (neg x) (neg (pow (* 2 y) 3))) (pow (* 2 y) 2))) (sin (/ x (* y 2)))) (* x x) (sin (/ (- 0 (* (* -2 y) (* x -1/2))) (* (* -2 y) y))) (sin (/ x (/ (neg (pow (* 2 y) 2)) (* -2 y)))) (tan (* (/ (neg x) (neg (pow (* 2 y) 3))) (pow (* 2 y) 2))) (sin (/ x (* y 2)))) |
| 4.0ms | 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 (pow (* 2 y) 2)) (/ (neg (pow (* 2 y) 2)) (* -2 y)) (/ (tan (/ x (* y 2))) (sin (/ x (/ (neg (pow (* 2 y) 2)) (* -2 y))))) (tan (/ x (* y 2))) (* (/ (neg x) (neg (pow (* 2 y) 3))) (pow (* 2 y) 2)) (/ (neg x) (neg (pow (* 2 y) 3))) (neg (pow (* 2 y) 3)) (/ (tan (* (/ (neg x) (neg (pow (* 2 y) 3))) (pow (* 2 y) 2))) (sin (/ x (* y 2)))) (* x x) (sin (/ (- 0 (* (* -2 y) (* x -1/2))) (* (* -2 y) y))) (sin (/ x (/ (neg (pow (* 2 y) 2)) (* -2 y)))) (tan (* (/ (neg x) (neg (pow (* 2 y) 3))) (pow (* 2 y) 2))) (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 (pow (* 2 y) 2)) (/ (neg (pow (* 2 y) 2)) (* -2 y)) (/ (tan (/ x (* y 2))) (sin (/ x (/ (neg (pow (* 2 y) 2)) (* -2 y))))) (tan (/ x (* y 2))) (* (/ (neg x) (neg (pow (* 2 y) 3))) (pow (* 2 y) 2)) (/ (neg x) (neg (pow (* 2 y) 3))) (neg (pow (* 2 y) 3)) (/ (tan (* (/ (neg x) (neg (pow (* 2 y) 3))) (pow (* 2 y) 2))) (sin (/ x (* y 2)))) (* x x) (sin (/ (- 0 (* (* -2 y) (* x -1/2))) (* (* -2 y) y))) (sin (/ x (/ (neg (pow (* 2 y) 2)) (* -2 y)))) (tan (* (/ (neg x) (neg (pow (* 2 y) 3))) (pow (* 2 y) 2))) (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 (pow (* 2 y) 2)) (/ (neg (pow (* 2 y) 2)) (* -2 y)) (/ (tan (/ x (* y 2))) (sin (/ x (/ (neg (pow (* 2 y) 2)) (* -2 y))))) (tan (/ x (* y 2))) (* (/ (neg x) (neg (pow (* 2 y) 3))) (pow (* 2 y) 2)) (/ (neg x) (neg (pow (* 2 y) 3))) (neg (pow (* 2 y) 3)) (/ (tan (* (/ (neg x) (neg (pow (* 2 y) 3))) (pow (* 2 y) 2))) (sin (/ x (* y 2)))) (* x x) (sin (/ (- 0 (* (* -2 y) (* x -1/2))) (* (* -2 y) y))) (sin (/ x (/ (neg (pow (* 2 y) 2)) (* -2 y)))) (tan (* (/ (neg x) (neg (pow (* 2 y) 3))) (pow (* 2 y) 2))) (sin (/ x (* y 2)))) |
| 3.0ms | 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 (pow (* 2 y) 2)) (/ (neg (pow (* 2 y) 2)) (* -2 y)) (/ (tan (/ x (* y 2))) (sin (/ x (/ (neg (pow (* 2 y) 2)) (* -2 y))))) (tan (/ x (* y 2))) (* (/ (neg x) (neg (pow (* 2 y) 3))) (pow (* 2 y) 2)) (/ (neg x) (neg (pow (* 2 y) 3))) (neg (pow (* 2 y) 3)) (/ (tan (* (/ (neg x) (neg (pow (* 2 y) 3))) (pow (* 2 y) 2))) (sin (/ x (* y 2)))) (* x x) (sin (/ (- 0 (* (* -2 y) (* x -1/2))) (* (* -2 y) y))) (sin (/ x (/ (neg (pow (* 2 y) 2)) (* -2 y)))) (tan (* (/ (neg x) (neg (pow (* 2 y) 3))) (pow (* 2 y) 2))) (sin (/ x (* y 2)))) |
| 1× | egg-herbie |
| 11 238× | lower-fma.f64 |
| 11 238× | lower-fma.f32 |
| 5 550× | lower-*.f64 |
| 5 550× | lower-*.f32 |
| 4 454× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 332 | 7969 |
| 1 | 983 | 7881 |
| 2 | 3462 | 7461 |
| 0 | 8211 | 7039 |
| 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)))) |
(* -4 (pow y 2)) |
(* -4 (pow y 2)) |
(* -4 (pow y 2)) |
(* -4 (pow y 2)) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/8 (/ x (pow y 3))) |
(* 1/8 (/ x (pow y 3))) |
(* 1/8 (/ x (pow y 3))) |
(* 1/8 (/ x (pow y 3))) |
(* -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))) |
(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))) (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 |
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
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1 |
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1 |
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1 |
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1 |
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(/ (+ (* -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)) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
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(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) 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 (/ 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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1 |
(- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
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1 |
(+ 1 (* 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) |
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(/ 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)) |
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1 |
(- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 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))))))))) |
(* -4 (pow y 2)) |
(* -4 (pow y 2)) |
(* -4 (pow y 2)) |
(* -4 (pow y 2)) |
(* 2 y) |
(* 2 y) |
(* 2 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)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/8 (/ x (pow y 3))) |
(* 1/8 (/ x (pow y 3))) |
(* 1/8 (/ x (pow y 3))) |
(* 1/8 (/ x (pow y 3))) |
(* -8 (pow y 3)) |
(* -8 (pow y 3)) |
(* -8 (pow y 3)) |
(* -8 (pow y 3)) |
1 |
(- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
(* 1/2 (/ x y)) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) 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)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y)) |
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y)) |
(* 1/2 (/ x y)) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
1 |
(+ 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 |
(+ 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)) |
(* 1/8 (/ x (pow y 3))) |
(* 1/8 (/ x (pow y 3))) |
(* 1/8 (/ x (pow y 3))) |
(* 1/8 (/ x (pow y 3))) |
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(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 (+ (* 1/24 (/ (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 (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 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/8 (/ x (pow y 3))) |
(* 1/8 (/ x (pow y 3))) |
(* 1/8 (/ x (pow y 3))) |
(* 1/8 (/ x (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)))) |
(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))) (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 (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 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/8 (/ x (pow y 3))) |
(* 1/8 (/ x (pow y 3))) |
(* 1/8 (/ x (pow y 3))) |
(* 1/8 (/ x (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)))) |
(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))) (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))) |
| 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)))) |
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(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))) |
(/ 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)) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(fma.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(fma.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(fma.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) (*.f64 x x) #s(literal 1 binary64)) |
(/ (pow x 2) y) |
(*.f64 x (/.f64 x y)) |
(/ (pow x 2) y) |
(*.f64 x (/.f64 x y)) |
(/ (pow x 2) y) |
(*.f64 x (/.f64 x y)) |
(/ (pow x 2) y) |
(*.f64 x (/.f64 x y)) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 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 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/8 (/ x (pow y 3))) |
(*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1/8 binary64)) |
(* 1/8 (/ x (pow y 3))) |
(*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1/8 binary64)) |
(* 1/8 (/ x (pow y 3))) |
(*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1/8 binary64)) |
(* 1/8 (/ x (pow y 3))) |
(*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1/8 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))) |
(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))) (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)) |
| 4 058× | lower-/.f32 |
| 4 042× | lower-/.f64 |
| 3 452× | lower-*.f32 |
| 3 436× | lower-*.f64 |
| 2 150× | lower-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 260 |
| 0 | 78 | 250 |
| 1 | 258 | 227 |
| 2 | 1633 | 162 |
| 0 | 8558 | 162 |
| 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)))) |
(neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) y)) |
(/.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))))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) |
(/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) |
(neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))) |
(/.f64 (tan.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(*.f64 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 x (/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) y)))) |
(tan.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| 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 #s(literal 1 binary64) (*.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal -1 binary64))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y)))))) |
(*.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 y y))))) |
(*.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x 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))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 2 binary64))) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 2 binary64))) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal -1 binary64)))) (*.f64 (pow.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal -1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 2 binary64))) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal -1 binary64))) (pow.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 2 binary64))) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 2 binary64))) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 2 binary64))) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 2 binary64))) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal -1 binary64))) (pow.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 2 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 2 binary64))) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal -1 binary64))) (*.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal -1 binary64)))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))))) |
(/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (neg.f64 (*.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) (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 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) 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 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) (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) (/.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))) |
(neg.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (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)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))))) #s(literal -1 binary64))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 2 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 (neg.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1 binary64)))))) |
(*.f64 (sin.f64 (neg.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1 binary64)))) (*.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1 binary64))))) (*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1 binary64)))))) (fma.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1 binary64)))) (*.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1 binary64)))) (fma.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1 binary64)))))))) |
(/.f64 (neg.f64 (sin.f64 (neg.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1 binary64))))) #s(literal -1 binary64)) |
(/.f64 (sin.f64 (neg.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (neg.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(neg.f64 (sin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1 binary64)))) |
(neg.f64 (neg.f64 (sin.f64 (neg.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1 binary64)))))) |
(sin.f64 (neg.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1 binary64)))) |
(fma.f64 #s(literal 0 binary64) (cos.f64 (neg.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1 binary64)))))) |
(fma.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1 binary64)))))) |
(-.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1 binary64))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (neg.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1 binary64)))))) |
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (neg.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1 binary64))))) (*.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1 binary64)))))) |
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1 binary64)))))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) #s(literal -1 binary64)) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64))) |
(neg.f64 (sin.f64 (/.f64 (*.f64 x (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64))))) |
(neg.f64 (sin.f64 (*.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 3 binary64)))))) |
(neg.f64 (sin.f64 (*.f64 (/.f64 x (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))))) |
(neg.f64 (sin.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))) |
(neg.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))) |
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))) (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))))) |
(-.f64 #s(literal 0 binary64) (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 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (pow.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) #s(literal -1 binary64))) |
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(pow.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (neg.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (neg.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64))) |
(neg.f64 (tan.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))) |
(neg.f64 (tan.f64 (/.f64 (*.f64 x (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64))))) |
(neg.f64 (tan.f64 (*.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 3 binary64)))))) |
(neg.f64 (tan.f64 (*.f64 (/.f64 x (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))))) |
(neg.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))))) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) #s(literal -1 binary64)) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64))) |
(neg.f64 (sin.f64 (/.f64 (*.f64 x (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64))))) |
(neg.f64 (sin.f64 (*.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 3 binary64)))))) |
(neg.f64 (sin.f64 (*.f64 (/.f64 x (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))))) |
(neg.f64 (sin.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))) |
(neg.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))) |
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))) (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
Compiled 27 951 to 2 970 computations (89.4% saved)
70 alts after pruning (68 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 145 | 35 | 1 180 |
| Fresh | 15 | 33 | 48 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 164 | 70 | 1 234 |
| Status | Accuracy | Program |
|---|---|---|
| 54.3% | (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1/2 binary64)) | |
| 42.0% | (/.f64 (/.f64 (-.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 (neg.f64 x) y))) (+.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (/.f64 (neg.f64 x) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 23.1% | (/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))) (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)))) | |
| 27.1% | (/.f64 (/.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))) (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 54.9% | (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal 0 binary64)))) | |
| 40.9% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y)))) #s(literal 2 binary64)) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) | |
| 40.4% | (/.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))))) | |
| 37.1% | (/.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))))) | |
| 22.0% | (/.f64 (tan.f64 (/.f64 (/.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 27.2% | (/.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))))) | |
| 16.5% | (/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)) (*.f64 x (/.f64 #s(literal -1/2 binary64) y)) (*.f64 #s(literal 0 binary64) (*.f64 x (/.f64 #s(literal -1/2 binary64) y))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 16.0% | (/.f64 (tan.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) #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))))) | |
| 23.4% | (/.f64 (tan.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) y) x) (*.f64 #s(literal -4 binary64) (*.f64 y y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 23.5% | (/.f64 (tan.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 14.3% | (/.f64 (tan.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.9% | (/.f64 (tan.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| ▶ | 40.8% | (/.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)))) |
| 40.1% | (/.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)))) | |
| 31.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) y) (*.f64 #s(literal -2 binary64) y)))) | |
| 27.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) (/.f64 x y))) (*.f64 #s(literal -2 binary64) y)) (*.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 #s(literal -2 binary64) (/.f64 x y)))))) | |
| 23.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y)))) | |
| 23.6% | (/.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)))) | |
| 14.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (/.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 4 binary64)))) (*.f64 #s(literal -4 binary64) (*.f64 y y))) (*.f64 #s(literal -2 binary64) y))))) | |
| 27.3% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 (/.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal -4 binary64) (*.f64 y y)))))) | |
| 42.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) | |
| 38.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64))))))) | |
| ✓ | 42.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 39.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)))))) | |
| 40.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) | |
| 41.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| 30.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -2 binary64)) y) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 #s(literal -1 binary64) y)))) | |
| 25.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1 binary64)))))) | |
| 16.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)))))) | |
| 37.1% | (/.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))))) | |
| ▶ | 37.2% | (/.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))))) |
| 34.1% | (/.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 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))) | |
| 38.3% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ (- 0 (* (* -2 y) (* x -1/2))) (* (* -2 y) y))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| 38.2% | (/.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))))) | |
| 40.4% | (/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 40.9% | (/.f64 (tan.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.8% | (/.f64 (tan.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 14.0% | (/.f64 (tan.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)))) | |
| 14.1% | (/.f64 (tan.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (neg.f64 (sin.f64 (*.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 3 binary64))))))) | |
| ▶ | 21.9% | (/.f64 (tan.f64 (*.f64 (/.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y y))) (*.f64 #s(literal -2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 14.0% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) x)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.8% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 16.1% | (/.f64 (tan.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) #s(literal 4 binary64)) (*.f64 y y)) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -3 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 12.9% | (/.f64 (tan.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) x)) #s(literal -1 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 (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))))) | |
| 42.0% | (/.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))) | |
| 18.9% | (/.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)))) | |
| 18.9% | (/.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)))) | |
| 16.1% | (/.f64 (neg.f64 (tan.f64 (/.f64 (*.f64 x (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64))))) (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))))) | |
| 23.4% | (/.f64 (neg.f64 (tan.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))) (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)))) | |
| 21.5% | (/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) 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)))) | |
| 25.3% | (/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (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))))) | |
| 38.1% | (/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 54.6% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))) | |
| ▶ | 54.9% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
| 40.1% | (*.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))))) | |
| 38.5% | (*.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))))) | |
| 40.8% | (*.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)))) | |
| 40.5% | (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))))) | |
| 40.8% | (*.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))))) | |
| 40.8% | (*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) | |
| 50.9% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 (/.f64 x y) x) #s(literal 1 binary64))) | |
| ▶ | 47.2% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal 8 binary64)) y)) #s(literal 1 binary64))) |
| 48.8% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y))))) | |
| 28.8% | #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))) | |
| ✓ | 55.1% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
Compiled 2 823 to 2 024 computations (28.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.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))))) | |
| cost-diff | 192 | (*.f64 (log.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64)) | |
| cost-diff | 256 | (neg.f64 (*.f64 (log.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))) | |
| cost-diff | 12800 | (exp.f64 (neg.f64 (*.f64 (log.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 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)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)))) | |
| cost-diff | 7168 | (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) | |
| cost-diff | 0 | (/.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y y))) | |
| cost-diff | 0 | (tan.f64 (*.f64 (/.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y y))) (*.f64 #s(literal -2 binary64) y))) | |
| cost-diff | 0 | (/.f64 (tan.f64 (*.f64 (/.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y y))) (*.f64 #s(literal -2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| cost-diff | 960 | (*.f64 (/.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y y))) (*.f64 #s(literal -2 binary64) y)) | |
| cost-diff | 0 | (*.f64 (*.f64 y #s(literal 8 binary64)) y) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal 8 binary64)) y)) #s(literal 1 binary64))) | |
| cost-diff | 320 | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal 8 binary64)) y)) | |
| 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)))) |
| 4 770× | lower-*.f32 |
| 4 748× | lower-*.f64 |
| 3 428× | associate-/l/ |
| 1 800× | lower-/.f32 |
| 1 786× | lower-/.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 320 |
| 0 | 79 | 357 |
| 1 | 124 | 346 |
| 2 | 226 | 322 |
| 3 | 529 | 274 |
| 4 | 1117 | 274 |
| 5 | 1762 | 274 |
| 6 | 2470 | 274 |
| 7 | 2614 | 274 |
| 8 | 2614 | 274 |
| 9 | 2632 | 274 |
| 10 | 2650 | 274 |
| 11 | 2651 | 274 |
| 12 | 3385 | 274 |
| 13 | 3448 | 274 |
| 14 | 3457 | 274 |
| 15 | 3460 | 274 |
| 16 | 3460 | 274 |
| 17 | 5775 | 274 |
| 18 | 5916 | 274 |
| 19 | 6642 | 274 |
| 20 | 6716 | 274 |
| 21 | 6798 | 274 |
| 22 | 6908 | 274 |
| 23 | 7278 | 274 |
| 24 | 7468 | 274 |
| 25 | 7697 | 274 |
| 26 | 7962 | 274 |
| 0 | 8105 | 274 |
| 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 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal 8 binary64)) y)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal 8 binary64)) y)) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal 8 binary64)) y)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 y #s(literal 8 binary64)) y) |
(*.f64 y #s(literal 8 binary64)) |
y |
#s(literal 8 binary64) |
(/.f64 (tan.f64 (*.f64 (/.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y y))) (*.f64 #s(literal -2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (*.f64 (/.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y y))) (*.f64 #s(literal -2 binary64) y))) |
(*.f64 (/.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y y))) (*.f64 #s(literal -2 binary64) y)) |
(/.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y y))) |
x |
(*.f64 #s(literal -4 binary64) (*.f64 y y)) |
#s(literal -4 binary64) |
(*.f64 y y) |
y |
(*.f64 #s(literal -2 binary64) y) |
#s(literal -2 binary64) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(*.f64 y #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
x |
(*.f64 y #s(literal 2 binary64)) |
y |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal -1 binary64) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (exp.f64 (neg.f64 (*.f64 (log.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
x |
(*.f64 y #s(literal 2 binary64)) |
y |
#s(literal 2 binary64) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64)))) |
(neg.f64 (*.f64 (log.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))) |
(*.f64 (log.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64)) |
(log.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal -1 binary64) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 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 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal 8 binary64)) y)) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 #s(literal 1/8 binary64) x) (/.f64 (/.f64 x y) y) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal 8 binary64)) y)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/8 binary64) x) (/.f64 (/.f64 x y) y) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal 8 binary64)) y)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 y y)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 y #s(literal 8 binary64)) y) |
(*.f64 (*.f64 #s(literal 8 binary64) y) y) |
(*.f64 y #s(literal 8 binary64)) |
(*.f64 #s(literal 8 binary64) y) |
y |
#s(literal 8 binary64) |
(/.f64 (tan.f64 (*.f64 (/.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y y))) (*.f64 #s(literal -2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(tan.f64 (*.f64 (/.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y y))) (*.f64 #s(literal -2 binary64) y))) |
(tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(*.f64 (/.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y y))) (*.f64 #s(literal -2 binary64) y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(/.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y y))) |
(/.f64 x (*.f64 (*.f64 y y) #s(literal -4 binary64))) |
x |
(*.f64 #s(literal -4 binary64) (*.f64 y y)) |
(*.f64 (*.f64 y y) #s(literal -4 binary64)) |
#s(literal -4 binary64) |
(*.f64 y y) |
y |
(*.f64 #s(literal -2 binary64) y) |
#s(literal -2 binary64) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)))) |
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
x |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
y |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
#s(literal 1 binary64) |
(pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)) |
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal -1 binary64) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (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 #s(literal 1/2 binary64) (/.f64 x y))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
x |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
y |
#s(literal 2 binary64) |
(exp.f64 (neg.f64 (*.f64 (log.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))) |
(neg.f64 (*.f64 (log.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))) |
(log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(*.f64 (log.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64)) |
(neg.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(log.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal -1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 7.82821303362641 | (/.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))))) | |
| accuracy | 8.53021696208255 | (log.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) | |
| accuracy | 14.717184734547844 | (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) | |
| accuracy | 14.933562568609565 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 0.4496112721298249 | (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) | |
| accuracy | 7.82821303362641 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)))) | |
| accuracy | 14.717184734547844 | (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) | |
| accuracy | 14.933562568609565 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 7.82821303362641 | (/.f64 (tan.f64 (*.f64 (/.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y y))) (*.f64 #s(literal -2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| accuracy | 11.65495405297249 | (*.f64 (/.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y y))) (*.f64 #s(literal -2 binary64) y)) | |
| accuracy | 14.717184734547844 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 14.933562568609565 | (tan.f64 (*.f64 (/.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y y))) (*.f64 #s(literal -2 binary64) y))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.2189576778902031 | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal 8 binary64)) y)) | |
| accuracy | 5.7748526447888455 | (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal 8 binary64)) y)) #s(literal 1 binary64)) | |
| accuracy | 16.53364487303915 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal 8 binary64)) y)) #s(literal 1 binary64))) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.0078125 | (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) | |
| accuracy | 0.0625 | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) | |
| accuracy | 14.602652766017785 | (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
| 200.0ms | 64× | 1 | valid |
| 52.0ms | 53× | 1 | invalid |
| 46.0ms | 131× | 0 | valid |
| 3.0ms | 8× | 0 | invalid |
Compiled 310 to 44 computations (85.8% saved)
ival-mult: 128.0ms (49.4% of total)ival-pow: 58.0ms (22.4% of total)ival-div: 23.0ms (8.9% of total)ival-sin: 15.0ms (5.8% of total)ival-tan: 11.0ms (4.2% of total)ival-cos: 7.0ms (2.7% of total)adjust: 6.0ms (2.3% of total)ival-log: 4.0ms (1.5% of total)ival-exp: 3.0ms (1.2% of total)ival-add: 2.0ms (0.8% of total)ival-neg: 1.0ms (0.4% 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 (/.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 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal 8 binary64)) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal 8 binary64)) y)) #<representation:binary64>) () ()) |
#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal 8 binary64)) y)) #s(literal 1 binary64))) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal 8 binary64)) y)) #s(literal 1 binary64))) #<representation:binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ()) |
#s(alt (*.f64 (*.f64 y #s(literal 8 binary64)) y) (patch (*.f64 (*.f64 y #s(literal 8 binary64)) y) #<representation:binary64>) () ()) |
#s(alt (*.f64 (/.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y y))) (*.f64 #s(literal -2 binary64) y)) (patch (*.f64 (/.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y y))) (*.f64 #s(literal -2 binary64) y)) #<representation:binary64>) () ()) |
#s(alt (/.f64 (tan.f64 (*.f64 (/.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y y))) (*.f64 #s(literal -2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (*.f64 (/.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y y))) (*.f64 #s(literal -2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation:binary64>) () ()) |
#s(alt (tan.f64 (*.f64 (/.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y y))) (*.f64 #s(literal -2 binary64) y))) (patch (tan.f64 (*.f64 (/.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y y))) (*.f64 #s(literal -2 binary64) y))) #<representation:binary64>) () ()) |
#s(alt (/.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y y))) (patch (/.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y y))) #<representation:binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) #<representation:binary64>) () ()) |
#s(alt (/.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)))) (patch (/.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)))) #<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 (exp.f64 (neg.f64 (*.f64 (log.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64)))) (patch (exp.f64 (neg.f64 (*.f64 (log.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64)))) #<representation:binary64>) () ()) |
#s(alt (neg.f64 (*.f64 (log.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))) (patch (neg.f64 (*.f64 (log.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))) #<representation:binary64>) () ()) |
#s(alt (*.f64 (log.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64)) (patch (*.f64 (log.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64)) #<representation:binary64>) () ()) |
#s(alt (/.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))))) (patch (/.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))))) #<representation:binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal 8 binary64)) y)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal 8 binary64)) y)) #s(literal 1 binary64)) #<representation:binary64>) () ()) |
#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation:binary64>) () ()) |
#s(alt (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (patch (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #<representation:binary64>) () ()) |
#s(alt (log.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (patch (log.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #<representation:binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ 1 (cos (* -1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #<representation:binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* -1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #<representation:binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* -1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #<representation:binary64>) () ())) ()) |
#s(alt (/ 1 (cos (* -1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #<representation:binary64>) () ())) ()) |
#s(alt (cos (* -1/2 (/ x y))) (taylor 0 y) (#s(alt (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (patch (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #<representation:binary64>) () ())) ()) |
#s(alt (cos (* -1/2 (/ x y))) (taylor 0 y) (#s(alt (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (patch (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #<representation:binary64>) () ())) ()) |
#s(alt (cos (* -1/2 (/ x y))) (taylor 0 y) (#s(alt (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (patch (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #<representation:binary64>) () ())) ()) |
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#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>) () ())) ()) |
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#s(alt (/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (exp (neg (* -1 (log (sin (* 1/2 (/ x y))))))))) (taylor -inf x) (#s(alt (/.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))))) (patch (/.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))))) #<representation:binary64>) () ())) ()) |
#s(alt (/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (exp (neg (* -1 (log (sin (* 1/2 (/ x y))))))))) (taylor -inf x) (#s(alt (/.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))))) (patch (/.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))))) #<representation:binary64>) () ())) ()) |
#s(alt (/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (exp (neg (* -1 (log (sin (* 1/2 (/ x y))))))))) (taylor -inf x) (#s(alt (/.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))))) (patch (/.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))))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/8 (/ (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal 8 binary64)) y)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal 8 binary64)) y)) #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal 8 binary64)) y)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal 8 binary64)) y)) #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal 8 binary64)) y)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal 8 binary64)) y)) #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal 8 binary64)) y)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal 8 binary64)) y)) #s(literal 1 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>) () ())) ()) |
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (patch (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #<representation:binary64>) () ())) ()) |
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (patch (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #<representation:binary64>) () ())) ()) |
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (patch (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #<representation:binary64>) () ())) ()) |
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (patch (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #<representation:binary64>) () ())) ()) |
#s(alt (log (sin (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt (log.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (patch (log.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #<representation:binary64>) () ())) ()) |
#s(alt (log (sin (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt (log.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (patch (log.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #<representation:binary64>) () ())) ()) |
#s(alt (log (sin (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt (log.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (patch (log.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #<representation:binary64>) () ())) ()) |
#s(alt (log (sin (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt (log.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (patch (log.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #<representation:binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 62.0ms | x | @ | -inf | ((/ 1 (cos (* -1/2 (/ x y)))) (cos (* -1/2 (/ x y))) (* -1/2 (/ x y)) (/ x y) (/ 1 (* (* y 8) y)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (* x x) (* (* y 8) y) (* (/ x (* -4 (* y y))) (* -2 y)) (/ (tan (* (/ x (* -4 (* y y))) (* -2 y))) (sin (/ x (* y 2)))) (tan (* (/ x (* -4 (* y y))) (* -2 y))) (/ x (* -4 (* y y))) (/ 1 (pow (sin (/ x (* 2 y))) -1)) (/ (tan (/ x (* y 2))) (/ 1 (pow (sin (/ x (* 2 y))) -1))) (tan (/ x (* y 2))) (/ x (* y 2)) (exp (neg (* (log (sin (/ x (* 2 y)))) -1))) (neg (* (log (sin (/ x (* 2 y)))) -1)) (* (log (sin (/ x (* 2 y)))) -1) (/ (tan (/ x (* y 2))) (exp (neg (* (log (sin (/ x (* 2 y)))) -1)))) (+ (* (* x x) (/ 1 (* (* y 8) y))) 1) (sin (/ x (* y 2))) (sin (/ x (* 2 y))) (log (sin (/ x (* 2 y))))) |
| 44.0ms | y | @ | 0 | ((/ 1 (cos (* -1/2 (/ x y)))) (cos (* -1/2 (/ x y))) (* -1/2 (/ x y)) (/ x y) (/ 1 (* (* y 8) y)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (* x x) (* (* y 8) y) (* (/ x (* -4 (* y y))) (* -2 y)) (/ (tan (* (/ x (* -4 (* y y))) (* -2 y))) (sin (/ x (* y 2)))) (tan (* (/ x (* -4 (* y y))) (* -2 y))) (/ x (* -4 (* y y))) (/ 1 (pow (sin (/ x (* 2 y))) -1)) (/ (tan (/ x (* y 2))) (/ 1 (pow (sin (/ x (* 2 y))) -1))) (tan (/ x (* y 2))) (/ x (* y 2)) (exp (neg (* (log (sin (/ x (* 2 y)))) -1))) (neg (* (log (sin (/ x (* 2 y)))) -1)) (* (log (sin (/ x (* 2 y)))) -1) (/ (tan (/ x (* y 2))) (exp (neg (* (log (sin (/ x (* 2 y)))) -1)))) (+ (* (* x x) (/ 1 (* (* y 8) y))) 1) (sin (/ x (* y 2))) (sin (/ x (* 2 y))) (log (sin (/ x (* 2 y))))) |
| 21.0ms | x | @ | inf | ((/ 1 (cos (* -1/2 (/ x y)))) (cos (* -1/2 (/ x y))) (* -1/2 (/ x y)) (/ x y) (/ 1 (* (* y 8) y)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (* x x) (* (* y 8) y) (* (/ x (* -4 (* y y))) (* -2 y)) (/ (tan (* (/ x (* -4 (* y y))) (* -2 y))) (sin (/ x (* y 2)))) (tan (* (/ x (* -4 (* y y))) (* -2 y))) (/ x (* -4 (* y y))) (/ 1 (pow (sin (/ x (* 2 y))) -1)) (/ (tan (/ x (* y 2))) (/ 1 (pow (sin (/ x (* 2 y))) -1))) (tan (/ x (* y 2))) (/ x (* y 2)) (exp (neg (* (log (sin (/ x (* 2 y)))) -1))) (neg (* (log (sin (/ x (* 2 y)))) -1)) (* (log (sin (/ x (* 2 y)))) -1) (/ (tan (/ x (* y 2))) (exp (neg (* (log (sin (/ x (* 2 y)))) -1)))) (+ (* (* x x) (/ 1 (* (* y 8) y))) 1) (sin (/ x (* y 2))) (sin (/ x (* 2 y))) (log (sin (/ x (* 2 y))))) |
| 13.0ms | y | @ | inf | ((/ 1 (cos (* -1/2 (/ x y)))) (cos (* -1/2 (/ x y))) (* -1/2 (/ x y)) (/ x y) (/ 1 (* (* y 8) y)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (* x x) (* (* y 8) y) (* (/ x (* -4 (* y y))) (* -2 y)) (/ (tan (* (/ x (* -4 (* y y))) (* -2 y))) (sin (/ x (* y 2)))) (tan (* (/ x (* -4 (* y y))) (* -2 y))) (/ x (* -4 (* y y))) (/ 1 (pow (sin (/ x (* 2 y))) -1)) (/ (tan (/ x (* y 2))) (/ 1 (pow (sin (/ x (* 2 y))) -1))) (tan (/ x (* y 2))) (/ x (* y 2)) (exp (neg (* (log (sin (/ x (* 2 y)))) -1))) (neg (* (log (sin (/ x (* 2 y)))) -1)) (* (log (sin (/ x (* 2 y)))) -1) (/ (tan (/ x (* y 2))) (exp (neg (* (log (sin (/ x (* 2 y)))) -1)))) (+ (* (* x x) (/ 1 (* (* y 8) y))) 1) (sin (/ x (* y 2))) (sin (/ x (* 2 y))) (log (sin (/ x (* 2 y))))) |
| 7.0ms | y | @ | -inf | ((/ 1 (cos (* -1/2 (/ x y)))) (cos (* -1/2 (/ x y))) (* -1/2 (/ x y)) (/ x y) (/ 1 (* (* y 8) y)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (* x x) (* (* y 8) y) (* (/ x (* -4 (* y y))) (* -2 y)) (/ (tan (* (/ x (* -4 (* y y))) (* -2 y))) (sin (/ x (* y 2)))) (tan (* (/ x (* -4 (* y y))) (* -2 y))) (/ x (* -4 (* y y))) (/ 1 (pow (sin (/ x (* 2 y))) -1)) (/ (tan (/ x (* y 2))) (/ 1 (pow (sin (/ x (* 2 y))) -1))) (tan (/ x (* y 2))) (/ x (* y 2)) (exp (neg (* (log (sin (/ x (* 2 y)))) -1))) (neg (* (log (sin (/ x (* 2 y)))) -1)) (* (log (sin (/ x (* 2 y)))) -1) (/ (tan (/ x (* y 2))) (exp (neg (* (log (sin (/ x (* 2 y)))) -1)))) (+ (* (* x x) (/ 1 (* (* y 8) y))) 1) (sin (/ x (* y 2))) (sin (/ x (* 2 y))) (log (sin (/ x (* 2 y))))) |
| 1× | egg-herbie |
| 11 698× | lower-fma.f64 |
| 11 698× | lower-fma.f32 |
| 6 126× | lower-*.f64 |
| 6 126× | lower-*.f32 |
| 5 136× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 715 | 10431 |
| 1 | 2247 | 9840 |
| 0 | 8318 | 9403 |
| 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) |
(/ 1/8 (pow y 2)) |
(/ 1/8 (pow y 2)) |
(/ 1/8 (pow y 2)) |
(/ 1/8 (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)))) |
(* 8 (pow y 2)) |
(* 8 (pow y 2)) |
(* 8 (pow y 2)) |
(* 8 (pow y 2)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(* -1/4 (/ x (pow y 2))) |
(* -1/4 (/ x (pow y 2))) |
(* -1/4 (/ x (pow y 2))) |
(* -1/4 (/ x (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)))) |
(/ (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)) |
(exp (neg (* -1 (log (sin (* 1/2 (/ x y))))))) |
(exp (neg (* -1 (log (sin (* 1/2 (/ x y))))))) |
(exp (neg (* -1 (log (sin (* 1/2 (/ x y))))))) |
(exp (neg (* -1 (log (sin (* 1/2 (/ x y))))))) |
(log (sin (* 1/2 (/ x y)))) |
(log (sin (* 1/2 (/ x y)))) |
(log (sin (* 1/2 (/ x y)))) |
(log (sin (* 1/2 (/ x y)))) |
(* -1 (log (sin (* 1/2 (/ x y))))) |
(* -1 (log (sin (* 1/2 (/ x y))))) |
(* -1 (log (sin (* 1/2 (/ x y))))) |
(* -1 (log (sin (* 1/2 (/ x y))))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (exp (neg (* -1 (log (sin (* 1/2 (/ x y))))))))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (exp (neg (* -1 (log (sin (* 1/2 (/ x y))))))))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (exp (neg (* -1 (log (sin (* 1/2 (/ x y))))))))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (exp (neg (* -1 (log (sin (* 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)) |
(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))) |
(log (sin (* 1/2 (/ x y)))) |
(log (sin (* 1/2 (/ x y)))) |
(log (sin (* 1/2 (/ x y)))) |
(log (sin (* 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) |
(/ 1/8 (pow y 2)) |
(/ 1/8 (pow y 2)) |
(/ 1/8 (pow y 2)) |
(/ 1/8 (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)))) |
(- (+ 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))))))))) |
(* 8 (pow y 2)) |
(* 8 (pow y 2)) |
(* 8 (pow y 2)) |
(* 8 (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)))))) |
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(* -1/4 (/ x (pow y 2))) |
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(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
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1 |
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(exp (neg (* -1 (+ (log (* 1/2 x)) (log (/ 1 y)))))) |
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1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(* 1/2 (/ x y)) |
(/ (+ (* -1/48 (/ (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)) |
(/ (+ (* -1/48 (/ (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 (* 1/2 x)) (log (/ 1 y))) |
(+ (log (* 1/2 x)) (+ (log (/ 1 y)) (* -1/24 (/ (pow x 2) (pow y 2))))) |
(+ (log (* 1/2 x)) (+ (log (/ 1 y)) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/24 (/ (+ (* -1/48 (pow x 4)) (* 1/80 (pow x 4))) (pow y 4)))))) |
(+ (log (* 1/2 x)) (+ (log (/ 1 y)) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* 1/720 (/ (+ (* -5/288 (pow x 6)) (+ (* -1/448 (pow x 6)) (* 1/64 (pow x 6)))) (pow y 6))) (* 1/24 (/ (+ (* -1/48 (pow x 4)) (* 1/80 (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) |
(/ 1/8 (pow y 2)) |
(/ 1/8 (pow y 2)) |
(/ 1/8 (pow y 2)) |
(/ 1/8 (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)))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
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(* 8 (pow y 2)) |
(* 8 (pow y 2)) |
(* 8 (pow y 2)) |
(* 8 (pow y 2)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
1 |
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(* 1/2 (/ x y)) |
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(/ x y) |
(/ x y) |
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(pow x 2) |
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(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)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(* -1/4 (/ x (pow y 2))) |
(* -1/4 (/ x (pow y 2))) |
(* -1/4 (/ x (pow y 2))) |
(* -1/4 (/ x (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)))) |
(/ (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)) |
(exp (neg (* -1 (log (sin (* 1/2 (/ x y))))))) |
(exp (neg (* -1 (log (sin (* 1/2 (/ x y))))))) |
(exp (neg (* -1 (log (sin (* 1/2 (/ x y))))))) |
(exp (neg (* -1 (log (sin (* 1/2 (/ x y))))))) |
(log (sin (* 1/2 (/ x y)))) |
(log (sin (* 1/2 (/ x y)))) |
(log (sin (* 1/2 (/ x y)))) |
(log (sin (* 1/2 (/ x y)))) |
(* -1 (log (sin (* 1/2 (/ x y))))) |
(* -1 (log (sin (* 1/2 (/ x y))))) |
(* -1 (log (sin (* 1/2 (/ x y))))) |
(* -1 (log (sin (* 1/2 (/ x y))))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (exp (neg (* -1 (log (sin (* 1/2 (/ x y))))))))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (exp (neg (* -1 (log (sin (* 1/2 (/ x y))))))))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (exp (neg (* -1 (log (sin (* 1/2 (/ x y))))))))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (exp (neg (* -1 (log (sin (* 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))))) |
(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))) |
(log (sin (* 1/2 (/ x y)))) |
(log (sin (* 1/2 (/ x y)))) |
(log (sin (* 1/2 (/ x y)))) |
(log (sin (* 1/2 (/ x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(cos (* -1/2 (/ x y))) |
(cos (* -1/2 (/ x y))) |
(cos (* -1/2 (/ x y))) |
(cos (* -1/2 (/ x y))) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(* -1/2 (/ x y)) |
(/ 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)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(* -1/4 (/ x (pow y 2))) |
(* -1/4 (/ x (pow y 2))) |
(* -1/4 (/ x (pow y 2))) |
(* -1/4 (/ x (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)))) |
(/ (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)) |
(exp (neg (* -1 (log (sin (* 1/2 (/ x y))))))) |
(exp (neg (* -1 (log (sin (* 1/2 (/ x y))))))) |
(exp (neg (* -1 (log (sin (* 1/2 (/ x y))))))) |
(exp (neg (* -1 (log (sin (* 1/2 (/ x y))))))) |
(log (sin (* 1/2 (/ x y)))) |
(log (sin (* 1/2 (/ x y)))) |
(log (sin (* 1/2 (/ x y)))) |
(log (sin (* 1/2 (/ x y)))) |
(* -1 (log (sin (* 1/2 (/ x y))))) |
(* -1 (log (sin (* 1/2 (/ x y))))) |
(* -1 (log (sin (* 1/2 (/ x y))))) |
(* -1 (log (sin (* 1/2 (/ x y))))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (exp (neg (* -1 (log (sin (* 1/2 (/ x y))))))))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (exp (neg (* -1 (log (sin (* 1/2 (/ x y))))))))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (exp (neg (* -1 (log (sin (* 1/2 (/ x y))))))))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (exp (neg (* -1 (log (sin (* 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))))) |
(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))) |
(log (sin (* 1/2 (/ x y)))) |
(log (sin (* 1/2 (/ x y)))) |
(log (sin (* 1/2 (/ x y)))) |
(log (sin (* 1/2 (/ x y)))) |
| Outputs |
|---|
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.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) |
(/ 1/8 (pow y 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 y y)) |
(/ 1/8 (pow y 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 y y)) |
(/ 1/8 (pow y 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 y y)) |
(/ 1/8 (pow y 2)) |
(/.f64 #s(literal 1/8 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))) |
(* 8 (pow y 2)) |
(*.f64 #s(literal 8 binary64) (*.f64 y y)) |
(* 8 (pow y 2)) |
(*.f64 #s(literal 8 binary64) (*.f64 y y)) |
(* 8 (pow y 2)) |
(*.f64 #s(literal 8 binary64) (*.f64 y y)) |
(* 8 (pow y 2)) |
(*.f64 #s(literal 8 binary64) (*.f64 y y)) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(* -1/4 (/ x (pow y 2))) |
(*.f64 (/.f64 (/.f64 x y) y) #s(literal -1/4 binary64)) |
(* -1/4 (/ x (pow y 2))) |
(*.f64 (/.f64 (/.f64 x y) y) #s(literal -1/4 binary64)) |
(* -1/4 (/ x (pow y 2))) |
(*.f64 (/.f64 (/.f64 x y) y) #s(literal -1/4 binary64)) |
(* -1/4 (/ x (pow y 2))) |
(*.f64 (/.f64 (/.f64 x y) y) #s(literal -1/4 binary64)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #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) |
(exp (neg (* -1 (log (sin (* 1/2 (/ x y))))))) |
(exp.f64 (log.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(exp (neg (* -1 (log (sin (* 1/2 (/ x y))))))) |
(exp.f64 (log.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(exp (neg (* -1 (log (sin (* 1/2 (/ x y))))))) |
(exp.f64 (log.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(exp (neg (* -1 (log (sin (* 1/2 (/ x y))))))) |
(exp.f64 (log.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(log (sin (* 1/2 (/ x y)))) |
(log.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(log (sin (* 1/2 (/ x y)))) |
(log.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(log (sin (* 1/2 (/ x y)))) |
(log.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(log (sin (* 1/2 (/ x y)))) |
(log.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(* -1 (log (sin (* 1/2 (/ x y))))) |
(neg.f64 (log.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(* -1 (log (sin (* 1/2 (/ x y))))) |
(neg.f64 (log.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(* -1 (log (sin (* 1/2 (/ x y))))) |
(neg.f64 (log.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(* -1 (log (sin (* 1/2 (/ x y))))) |
(neg.f64 (log.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (exp (neg (* -1 (log (sin (* 1/2 (/ x y))))))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (exp.f64 (log.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (exp (neg (* -1 (log (sin (* 1/2 (/ x y))))))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (exp.f64 (log.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (exp (neg (* -1 (log (sin (* 1/2 (/ x y))))))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (exp.f64 (log.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (exp (neg (* -1 (log (sin (* 1/2 (/ x y))))))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (exp.f64 (log.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(*.f64 (*.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/8 binary64)) |
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) |
(/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) y) |
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) |
(/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) y) |
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) |
(/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) y) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(log (sin (* 1/2 (/ x y)))) |
(log.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(log (sin (* 1/2 (/ x y)))) |
(log.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(log (sin (* 1/2 (/ x y)))) |
(log.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(log (sin (* 1/2 (/ x y)))) |
(log.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)) |
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(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (exp (neg (* -1 (log (sin (* 1/2 (/ x y))))))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (exp.f64 (log.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (exp (neg (* -1 (log (sin (* 1/2 (/ x y))))))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (exp.f64 (log.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(*.f64 (*.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/8 binary64)) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(log (sin (* 1/2 (/ x y)))) |
(log.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(log (sin (* 1/2 (/ x y)))) |
(log.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(log (sin (* 1/2 (/ x y)))) |
(log.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(log (sin (* 1/2 (/ x y)))) |
(log.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
| 4 578× | lower-*.f32 |
| 4 556× | lower-*.f64 |
| 3 906× | lower-fma.f32 |
| 3 904× | lower-fma.f64 |
| 3 506× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 229 |
| 0 | 79 | 208 |
| 1 | 215 | 191 |
| 2 | 898 | 180 |
| 3 | 7536 | 180 |
| 0 | 8503 | 180 |
| 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) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal 8 binary64)) y)) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal 8 binary64)) y)) #s(literal 1 binary64))) |
(*.f64 x x) |
(*.f64 (*.f64 y #s(literal 8 binary64)) y) |
(*.f64 (/.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y y))) (*.f64 #s(literal -2 binary64) y)) |
(/.f64 (tan.f64 (*.f64 (/.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y y))) (*.f64 #s(literal -2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (*.f64 (/.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y y))) (*.f64 #s(literal -2 binary64) y))) |
(/.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 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)))) |
(neg.f64 (*.f64 (log.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))) |
(*.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)))) (exp.f64 (neg.f64 (*.f64 (log.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal 8 binary64)) y)) #s(literal 1 binary64)) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(log.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) (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 -1/4 binary64))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1/4 binary64))) |
(*.f64 (*.f64 (tan.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (tan.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) (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 -1/2 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))) |
(*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (sqrt.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 -1/2 binary64))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64)) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (sqrt.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)) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (/.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(*.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) (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 -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(*.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 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 (sqrt.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 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64)) (tan.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(*.f64 (tan.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (pow.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 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 (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 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(*.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 #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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(/.f64 (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (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 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (pow.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64))) (neg.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(/.f64 (*.f64 (pow.f64 (sin.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)))) (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)) (tan.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (neg.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(/.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 binary64)) #s(literal 1 binary64)) |
(/.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (*.f64 (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (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 -1/2 binary64)))) |
(/.f64 (pow.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64)) (*.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(/.f64 (pow.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)))) |
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (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 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (*.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 (/.f64 #s(literal -1/2 binary64) y) x)) (*.f64 (neg.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 (/.f64 #s(literal -1/2 binary64) y) x)) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (pow.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(/.f64 #s(literal -1 binary64) (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 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (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 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (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 (/.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) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(-.f64 #s(literal 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))) |
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(/.f64 (*.f64 (neg.f64 (pow.f64 (neg.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) #s(literal 2 binary64))) #s(literal 1 binary64)) (neg.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (neg.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (neg.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (neg.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) #s(literal 3 binary64)))) (pow.f64 (neg.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) #s(literal 2 binary64))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (neg.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (neg.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) #s(literal 2 binary64)))) (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (neg.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) #s(literal 3 binary64)))) (neg.f64 (pow.f64 (neg.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (pow.f64 (neg.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) #s(literal 2 binary64))) (neg.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) |
(/.f64 (neg.f64 (pow.f64 (neg.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) #s(literal 3 binary64))) (pow.f64 (neg.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (neg.f64 (pow.f64 (neg.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (neg.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) #s(literal 2 binary64)) (neg.f64 (pow.f64 (neg.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) #s(literal 3 binary64))))) |
(neg.f64 (neg.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) |
(fma.f64 (neg.f64 (pow.f64 (neg.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (pow.f64 (neg.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) #s(literal 2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (log.f64 (exp.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) (/.f64 (pow.f64 (neg.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) #s(literal 2 binary64)) (neg.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) #s(literal 2 binary64))) (/.f64 (pow.f64 (neg.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) #s(literal 2 binary64)))) |
(-.f64 (log.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (log.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) |
(+.f64 (log.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) #s(literal 2 binary64)))) (log.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) #s(literal 2 binary64))))) |
(+.f64 (log.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) #s(literal 1 binary64))) (log.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) #s(literal 1 binary64)))) |
(+.f64 (log.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (log.f64 (*.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) #s(literal 1 binary64)))) |
(+.f64 (log.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (log.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) #s(literal 1 binary64)))) |
(+.f64 (log.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (log.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) |
(+.f64 (log.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (log.f64 #s(literal -1 binary64))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal 1 binary64)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(+.f64 #s(literal 0 binary64) (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(+.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) #s(literal 0 binary64)) |
(log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
Compiled 44 054 to 4 516 computations (89.7% saved)
83 alts after pruning (80 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 902 | 37 | 1 939 |
| Fresh | 20 | 43 | 63 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 926 | 83 | 2 009 |
| Status | Accuracy | Program |
|---|---|---|
| 54.3% | (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))))) #s(literal -1/2 binary64)) | |
| 54.3% | (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1/2 binary64)) | |
| 26.8% | (/.f64 (/.f64 (sin.f64 (*.f64 (/.f64 y (*.f64 y y)) (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 (/.f64 y (*.f64 y y)) (*.f64 #s(literal 1/2 binary64) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 40.5% | (/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)))) | |
| 23.1% | (/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))) (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)))) | |
| 40.9% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y)))) #s(literal 2 binary64)) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) | |
| 37.1% | (/.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))))) | |
| 22.0% | (/.f64 (tan.f64 (/.f64 (/.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 16.0% | (/.f64 (tan.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) #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))))) | |
| 23.4% | (/.f64 (tan.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) (*.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| ▶ | 23.5% | (/.f64 (tan.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 27.0% | (/.f64 (tan.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y (/.f64 y x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.9% | (/.f64 (tan.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 27.3% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) | |
| 39.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) #s(literal 2 binary64))) | |
| 38.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)))) | |
| 40.1% | (/.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)))) | |
| 31.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) y) (*.f64 #s(literal -2 binary64) y)))) | |
| 27.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) (/.f64 x y))) (*.f64 #s(literal -2 binary64) y)) (*.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 #s(literal -2 binary64) (/.f64 x y)))))) | |
| 23.6% | (/.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)))) | |
| 14.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (/.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 4 binary64)))) (*.f64 #s(literal -4 binary64) (*.f64 y y))) (*.f64 #s(literal -2 binary64) y))))) | |
| 27.3% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 (/.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal -4 binary64) (*.f64 y y)))))) | |
| 42.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) | |
| 38.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64))))))) | |
| ✓ | 42.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 39.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)))))) | |
| 41.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| 30.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -2 binary64)) y) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 #s(literal -1 binary64) y)))) | |
| 25.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1 binary64)))))) | |
| 16.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)))))) | |
| 37.1% | (/.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))))) | |
| 36.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (exp.f64 (*.f64 (neg.f64 (pow.f64 (neg.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) #s(literal 2 binary64)))))) | |
| 36.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (exp.f64 (neg.f64 (+.f64 (log.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) #s(literal -1 binary64))) (log.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) #s(literal -1 binary64))))))) | |
| 25.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (exp.f64 (neg.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))))) | |
| 25.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (exp.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 2 binary64))))))) | |
| 38.3% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (/ 1 (pow (sin (/ x (* 2 y))) -1)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| 38.2% | (/.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))))) | |
| 22.1% | (/.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (*.f64 y x) #s(literal 1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 29.4% | (/.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 40.4% | (/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.8% | (/.f64 (tan.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 14.0% | (/.f64 (tan.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)))) | |
| 14.1% | (/.f64 (tan.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (neg.f64 (sin.f64 (*.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 3 binary64))))))) | |
| 21.9% | (/.f64 (tan.f64 (*.f64 (/.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y y))) (*.f64 #s(literal -2 binary64) y))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| 20.4% | (/.f64 (tan.f64 (*.f64 (/.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y y))) (*.f64 #s(literal -2 binary64) y))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| ▶ | 14.0% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) x)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 27.5% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (*.f64 #s(literal -1/4 binary64) x) y))) (*.f64 #s(literal -2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.8% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 26.8% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 y (/.f64 y x))) (*.f64 #s(literal -2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 42.1% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) | |
| 12.9% | (/.f64 (tan.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) x)) #s(literal -1 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 (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))))) | |
| 37.2% | (/.f64 (tan.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64))) #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)))) | |
| 42.0% | (/.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))) | |
| 41.4% | (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (neg.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))))) | |
| 18.9% | (/.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)))) | |
| 21.5% | (/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) 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)))) | |
| 25.3% | (/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (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))))) | |
| 38.1% | (/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 40.2% | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.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 -1/2 binary64)) (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) | |
| 41.4% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (neg.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))))) | |
| 40.5% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) | |
| 40.0% | (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) | |
| 54.4% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (pow.f64 x #s(literal -1 binary64))))) | |
| 54.7% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) | |
| 54.6% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) | |
| ✓ | 54.9% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
| 54.5% | (/.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)))))) | |
| ▶ | 55.1% | (/.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)))))) |
| 51.4% | (/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1 binary64)))) | |
| 38.5% | (*.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))))) | |
| ▶ | 40.8% | (*.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)))) |
| 40.5% | (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))))) | |
| 40.5% | (*.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)))) | |
| 40.8% | (*.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))))) | |
| 40.8% | (*.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))))) | |
| ▶ | 47.2% | #s(approx (/ (tan (/ x (* y 2))) (/ 1 (pow (sin (/ x (* 2 y))) -1))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))) |
| 51.0% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 x y) (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) #s(literal 1 binary64))) | |
| 48.8% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y))))) | |
| 28.8% | #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))) | |
| ✓ | 55.1% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
| 36.8% | #s(approx (/ (tan (/ x (* y 2))) (exp (neg (* (log (sin (/ x (* 2 y)))) -1)))) (*.f64 (/.f64 (/.f64 x y) (exp.f64 (-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) (log.f64 y)))) #s(literal 1/2 binary64))) | |
| 37.5% | #s(approx (/ (tan (/ x (* y 2))) (exp (neg (* (log (sin (/ x (* 2 y)))) -1)))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (exp.f64 (+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y)) (log.f64 x)))) x)) |
Compiled 3 165 to 2 318 computations (26.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) x)) | |
| cost-diff | 768 | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) x)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| cost-diff | 6144 | (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) | |
| cost-diff | 7040 | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) x)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.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)))) | |
| cost-diff | 192 | (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) | |
| cost-diff | 320 | (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) | |
| cost-diff | 6400 | (sin.f64 #s(literal 0 binary64)) | |
| cost-diff | 0 | (tan.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y))) | |
| cost-diff | 128 | (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) | |
| cost-diff | 256 | (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y)) | |
| cost-diff | 768 | (/.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))))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) | |
| cost-diff | 0 | #s(approx (/ (tan (/ x (* y 2))) (/ 1 (pow (sin (/ x (* 2 y))) -1))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))))) | |
| cost-diff | 0 | (/.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)))))) | |
| cost-diff | 192 | (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)) | |
| cost-diff | 12928 | (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))) |
| 5 984× | lower-*.f32 |
| 5 962× | lower-*.f64 |
| 2 702× | lower-/.f32 |
| 2 682× | lower-/.f64 |
| 1 842× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 355 |
| 0 | 95 | 343 |
| 1 | 158 | 313 |
| 2 | 335 | 273 |
| 3 | 1321 | 269 |
| 4 | 4132 | 267 |
| 5 | 5134 | 267 |
| 0 | 8643 | 265 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.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)))))) |
#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 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))) |
#s(literal -1/2 binary64) |
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)) |
(log.f64 (/.f64 y x)) |
(/.f64 y x) |
y |
x |
#s(literal -1 binary64) |
#s(approx (/ (tan (/ x (* y 2))) (/ 1 (pow (sin (/ x (* 2 y))) -1))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 y y)) |
#s(literal 1/8 binary64) |
(*.f64 y y) |
y |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(/.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))))) |
(tan.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y))) |
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y)) |
(*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) |
(neg.f64 (*.f64 x x)) |
(*.f64 x x) |
x |
#s(literal -1/2 binary64) |
(*.f64 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 (/.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) (*.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) |
#s(literal -1 binary64) |
(*.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64)) |
(+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) |
(sin.f64 #s(literal 0 binary64)) |
#s(literal 0 binary64) |
(sin.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(literal 1/2 binary64) |
(sin.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 (tan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) x)) (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 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) x)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) x)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) x)) |
#s(literal 1 binary64) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) x) |
(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) |
x |
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(*.f64 y #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
#s(literal 1 binary64) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))))) |
(cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) |
(*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) y) x) |
#s(literal -1/2 binary64) |
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))) |
(/.f64 x y) |
(*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)) |
(neg.f64 (log.f64 (/.f64 y x))) |
(log.f64 (/.f64 y x)) |
(/.f64 y x) |
y |
x |
#s(literal -1 binary64) |
#s(approx (/ (tan (/ x (* y 2))) (/ 1 (pow (sin (/ x (* 2 y))) -1))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (/ 1 (pow (sin (/ x (* 2 y))) -1))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 y y)) |
#s(literal 1/8 binary64) |
(*.f64 y y) |
y |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(/.f64 (tan.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(tan.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y))) |
(tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(neg.f64 (*.f64 x x)) |
(*.f64 (neg.f64 x) x) |
(*.f64 x x) |
x |
#s(literal -1/2 binary64) |
(*.f64 x y) |
y |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 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 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (/.f64 #s(literal -2 binary64) (sin.f64 (/.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 #s(literal -2 binary64) (sin.f64 (/.f64 x y))) |
#s(literal -1 binary64) |
(*.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (sin.f64 (/.f64 x y))) |
(+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) |
(sin.f64 (/.f64 x y)) |
(sin.f64 #s(literal 0 binary64)) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
(sin.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(literal 1/2 binary64) |
(sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(sin.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 (tan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) x)) (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 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) x)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) |
(tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) x)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) x)) |
(/.f64 x (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))) |
#s(literal 1 binary64) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) x) |
(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) |
x |
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) |
(*.f64 #s(literal 4 binary64) (*.f64 y y)) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 7.89071303362641 | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) x)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| accuracy | 28.569313585653617 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 29.02953577579105 | (tan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) x)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) | |
| accuracy | 36.670159445366735 | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) x)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) | |
| accuracy | 0.203125 | (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) | |
| accuracy | 8.99618178362641 | (*.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)))) | |
| accuracy | 28.550724101768655 | (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) | |
| accuracy | 28.847416543458074 | (sin.f64 (/.f64 x y)) | |
| accuracy | 7.89071303362641 | (/.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))))) | |
| accuracy | 20.33646779063404 | (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y)) | |
| accuracy | 28.569313585653617 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 29.02953577579105 | (tan.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.2658326778902031 | (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) | |
| accuracy | 8.644240784595382 | (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)) | |
| accuracy | 31.390943576155756 | #s(approx (/ (tan (/ x (* y 2))) (/ 1 (pow (sin (/ x (* 2 y))) -1))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 0.09375 | (/.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)))))) | |
| accuracy | 4.069219525113273 | (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))) | |
| accuracy | 16.09861818011583 | (log.f64 (/.f64 y x)) | |
| accuracy | 28.730936861123617 | (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))))) |
| 162.0ms | 124× | 1 | valid |
| 52.0ms | 132× | 0 | valid |
Compiled 347 to 56 computations (83.9% saved)
ival-div: 42.0ms (23.4% of total)ival-sin: 35.0ms (19.5% of total)ival-mult: 28.0ms (15.6% of total)ival-tan: 18.0ms (10% of total)ival-pow: 11.0ms (6.1% of total)ival-log: 11.0ms (6.1% of total)adjust: 10.0ms (5.6% of total)ival-exp: 9.0ms (5% of total)ival-cos: 7.0ms (3.9% of total)ival-add: 4.0ms (2.2% of total)ival-pow2: 3.0ms (1.7% of total)ival-neg: 1.0ms (0.6% 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 (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))) (patch (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))) #<representation:binary64>) () ()) |
#s(alt (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (patch (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)) #<representation:binary64>) () ()) |
#s(alt (/.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)))))) (patch (/.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)))))) #<representation:binary64>) () ()) |
#s(alt (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))))) (patch (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))))) #<representation:binary64>) () ()) |
#s(alt #s(approx (/ (tan (/ x (* y 2))) (/ 1 (pow (sin (/ x (* 2 y))) -1))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (/ (tan (/ x (* y 2))) (/ 1 (pow (sin (/ x (* 2 y))) -1))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))) #<representation:binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (patch (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #<representation:binary64>) () ()) |
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation:binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ()) |
#s(alt (/.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))))) (patch (/.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))))) #<representation:binary64>) () ()) |
#s(alt (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y)) #<representation:binary64>) () ()) |
#s(alt (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (patch (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) #<representation:binary64>) () ()) |
#s(alt (tan.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y))) (patch (tan.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y))) #<representation:binary64>) () ()) |
#s(alt (sin.f64 #s(literal 0 binary64)) (patch (sin.f64 #s(literal 0 binary64)) #<representation:binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) #<representation:binary64>) () ()) |
#s(alt (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) (patch (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #<representation:binary64>) () ()) |
#s(alt (*.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)))) (patch (*.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)))) #<representation:binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) x)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) x)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) #<representation:binary64>) () ()) |
#s(alt (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #<representation:binary64>) () ()) |
#s(alt (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) x)) (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 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) x)) (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 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) x)) #<representation:binary64>) () ()) |
#s(alt (log.f64 (/.f64 y x)) (patch (log.f64 (/.f64 y x)) #<representation:binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)) #<representation:binary64>) () ()) |
#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation:binary64>) () ()) |
#s(alt (sin.f64 (/.f64 x y)) (patch (sin.f64 (/.f64 x y)) #<representation:binary64>) () ()) |
#s(alt (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (patch (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #<representation:binary64>) () ()) |
#s(alt (tan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) x)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (patch (tan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) x)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) #<representation:binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ x y) (taylor 0 y) (#s(alt (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))) (patch (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))) (patch (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))) (patch (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))) (patch (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (+ (log y) (log (/ 1 x)))) (taylor 0 y) (#s(alt (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (patch (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (+ (log y) (log (/ 1 x)))) (taylor 0 y) (#s(alt (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (patch (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (+ (log y) (log (/ 1 x)))) (taylor 0 y) (#s(alt (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (patch (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (+ (log y) (log (/ 1 x)))) (taylor 0 y) (#s(alt (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (patch (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)) #<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) (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))))) (patch (/.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)))))) #<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) (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))))) (patch (/.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)))))) #<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) (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))))) (patch (/.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)))))) #<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) (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))))) (patch (/.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)))))) #<representation:binary64>) () ())) ()) |
#s(alt (cos (* -1/2 (/ x y))) (taylor 0 y) (#s(alt (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))))) (patch (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))))) #<representation:binary64>) () ())) ()) |
#s(alt (cos (* -1/2 (/ x y))) (taylor 0 y) (#s(alt (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))))) (patch (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))))) #<representation:binary64>) () ())) ()) |
#s(alt (cos (* -1/2 (/ x y))) (taylor 0 y) (#s(alt (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))))) (patch (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))))) #<representation:binary64>) () ())) ()) |
#s(alt (cos (* -1/2 (/ x y))) (taylor 0 y) (#s(alt (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))))) (patch (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))))) #<representation:binary64>) () ())) ()) |
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#s(alt (* 1/8 (/ x (pow y 3))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) x)) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/8 (/ x (pow y 3))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) x)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (log (* -1 y)) (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (/.f64 y x)) (patch (log.f64 (/.f64 y x)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (log (* -1 y)) (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (/.f64 y x)) (patch (log.f64 (/.f64 y x)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (log (* -1 y)) (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (/.f64 y x)) (patch (log.f64 (/.f64 y x)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (log (* -1 y)) (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (/.f64 y x)) (patch (log.f64 (/.f64 y x)) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/8 (/ (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 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>) () ())) ()) |
#s(alt (sin (/ x y)) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x y)) (patch (sin.f64 (/.f64 x y)) #<representation:binary64>) () ())) ()) |
#s(alt (sin (/ x y)) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x y)) (patch (sin.f64 (/.f64 x y)) #<representation:binary64>) () ())) ()) |
#s(alt (sin (/ x y)) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x y)) (patch (sin.f64 (/.f64 x y)) #<representation:binary64>) () ())) ()) |
#s(alt (sin (/ x y)) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x y)) (patch (sin.f64 (/.f64 x y)) #<representation:binary64>) () ())) ()) |
#s(alt (sin (* -1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (patch (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #<representation:binary64>) () ())) ()) |
#s(alt (sin (* -1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (patch (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #<representation:binary64>) () ())) ()) |
#s(alt (sin (* -1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (patch (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #<representation:binary64>) () ())) ()) |
#s(alt (sin (* -1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (patch (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #<representation:binary64>) () ())) ()) |
#s(alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt (tan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) x)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (patch (tan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) x)) (pow.f64 (*.f64 #s(literal 2 binary64) 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 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) x)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (patch (tan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) x)) (pow.f64 (*.f64 #s(literal 2 binary64) 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 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) x)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (patch (tan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) x)) (pow.f64 (*.f64 #s(literal 2 binary64) 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 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) x)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (patch (tan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) x)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) #<representation:binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 25.0ms | x | @ | -inf | ((exp (* (log (/ y x)) -1)) (* (log (/ y x)) -1) (/ 1 (cos (* -1/2 (exp (* (log (/ y x)) -1))))) (cos (* -1/2 (exp (* (log (/ y x)) -1)))) (/ (tan (/ x (* y 2))) (/ 1 (pow (sin (/ x (* 2 y))) -1))) (/ 1/8 (* y y)) (* y y) (* x x) (/ (tan (/ (* (neg (* x x)) -1/2) (* x y))) (sin (/ x (* y 2)))) (/ (* (neg (* x x)) -1/2) (* x y)) (* (neg (* x x)) -1/2) (tan (/ (* (neg (* x x)) -1/2) (* x y))) (sin 0) (/ -1 (* (+ (sin 0) (sin (/ x y))) 1/2)) (+ (sin 0) (sin (/ x y))) (* (/ -1 (* (+ (sin 0) (sin (/ x y))) 1/2)) (sin (* -1/2 (/ x y)))) (* (/ 1 (/ (pow (* 2 y) 3) x)) (pow (* 2 y) 2)) (pow (* 2 y) 2) (/ (tan (* (/ 1 (/ (pow (* 2 y) 3) x)) (pow (* 2 y) 2))) (sin (/ x (* y 2)))) (/ 1 (/ (pow (* 2 y) 3) x)) (log (/ y x)) (+ (* (/ 1/8 (* y y)) (* x x)) 1) (sin (/ x (* y 2))) (sin (/ x y)) (sin (* -1/2 (/ x y))) (tan (* (/ 1 (/ (pow (* 2 y) 3) x)) (pow (* 2 y) 2)))) |
| 20.0ms | y | @ | 0 | ((exp (* (log (/ y x)) -1)) (* (log (/ y x)) -1) (/ 1 (cos (* -1/2 (exp (* (log (/ y x)) -1))))) (cos (* -1/2 (exp (* (log (/ y x)) -1)))) (/ (tan (/ x (* y 2))) (/ 1 (pow (sin (/ x (* 2 y))) -1))) (/ 1/8 (* y y)) (* y y) (* x x) (/ (tan (/ (* (neg (* x x)) -1/2) (* x y))) (sin (/ x (* y 2)))) (/ (* (neg (* x x)) -1/2) (* x y)) (* (neg (* x x)) -1/2) (tan (/ (* (neg (* x x)) -1/2) (* x y))) (sin 0) (/ -1 (* (+ (sin 0) (sin (/ x y))) 1/2)) (+ (sin 0) (sin (/ x y))) (* (/ -1 (* (+ (sin 0) (sin (/ x y))) 1/2)) (sin (* -1/2 (/ x y)))) (* (/ 1 (/ (pow (* 2 y) 3) x)) (pow (* 2 y) 2)) (pow (* 2 y) 2) (/ (tan (* (/ 1 (/ (pow (* 2 y) 3) x)) (pow (* 2 y) 2))) (sin (/ x (* y 2)))) (/ 1 (/ (pow (* 2 y) 3) x)) (log (/ y x)) (+ (* (/ 1/8 (* y y)) (* x x)) 1) (sin (/ x (* y 2))) (sin (/ x y)) (sin (* -1/2 (/ x y))) (tan (* (/ 1 (/ (pow (* 2 y) 3) x)) (pow (* 2 y) 2)))) |
| 20.0ms | y | @ | -inf | ((exp (* (log (/ y x)) -1)) (* (log (/ y x)) -1) (/ 1 (cos (* -1/2 (exp (* (log (/ y x)) -1))))) (cos (* -1/2 (exp (* (log (/ y x)) -1)))) (/ (tan (/ x (* y 2))) (/ 1 (pow (sin (/ x (* 2 y))) -1))) (/ 1/8 (* y y)) (* y y) (* x x) (/ (tan (/ (* (neg (* x x)) -1/2) (* x y))) (sin (/ x (* y 2)))) (/ (* (neg (* x x)) -1/2) (* x y)) (* (neg (* x x)) -1/2) (tan (/ (* (neg (* x x)) -1/2) (* x y))) (sin 0) (/ -1 (* (+ (sin 0) (sin (/ x y))) 1/2)) (+ (sin 0) (sin (/ x y))) (* (/ -1 (* (+ (sin 0) (sin (/ x y))) 1/2)) (sin (* -1/2 (/ x y)))) (* (/ 1 (/ (pow (* 2 y) 3) x)) (pow (* 2 y) 2)) (pow (* 2 y) 2) (/ (tan (* (/ 1 (/ (pow (* 2 y) 3) x)) (pow (* 2 y) 2))) (sin (/ x (* y 2)))) (/ 1 (/ (pow (* 2 y) 3) x)) (log (/ y x)) (+ (* (/ 1/8 (* y y)) (* x x)) 1) (sin (/ x (* y 2))) (sin (/ x y)) (sin (* -1/2 (/ x y))) (tan (* (/ 1 (/ (pow (* 2 y) 3) x)) (pow (* 2 y) 2)))) |
| 19.0ms | x | @ | 0 | ((exp (* (log (/ y x)) -1)) (* (log (/ y x)) -1) (/ 1 (cos (* -1/2 (exp (* (log (/ y x)) -1))))) (cos (* -1/2 (exp (* (log (/ y x)) -1)))) (/ (tan (/ x (* y 2))) (/ 1 (pow (sin (/ x (* 2 y))) -1))) (/ 1/8 (* y y)) (* y y) (* x x) (/ (tan (/ (* (neg (* x x)) -1/2) (* x y))) (sin (/ x (* y 2)))) (/ (* (neg (* x x)) -1/2) (* x y)) (* (neg (* x x)) -1/2) (tan (/ (* (neg (* x x)) -1/2) (* x y))) (sin 0) (/ -1 (* (+ (sin 0) (sin (/ x y))) 1/2)) (+ (sin 0) (sin (/ x y))) (* (/ -1 (* (+ (sin 0) (sin (/ x y))) 1/2)) (sin (* -1/2 (/ x y)))) (* (/ 1 (/ (pow (* 2 y) 3) x)) (pow (* 2 y) 2)) (pow (* 2 y) 2) (/ (tan (* (/ 1 (/ (pow (* 2 y) 3) x)) (pow (* 2 y) 2))) (sin (/ x (* y 2)))) (/ 1 (/ (pow (* 2 y) 3) x)) (log (/ y x)) (+ (* (/ 1/8 (* y y)) (* x x)) 1) (sin (/ x (* y 2))) (sin (/ x y)) (sin (* -1/2 (/ x y))) (tan (* (/ 1 (/ (pow (* 2 y) 3) x)) (pow (* 2 y) 2)))) |
| 13.0ms | y | @ | inf | ((exp (* (log (/ y x)) -1)) (* (log (/ y x)) -1) (/ 1 (cos (* -1/2 (exp (* (log (/ y x)) -1))))) (cos (* -1/2 (exp (* (log (/ y x)) -1)))) (/ (tan (/ x (* y 2))) (/ 1 (pow (sin (/ x (* 2 y))) -1))) (/ 1/8 (* y y)) (* y y) (* x x) (/ (tan (/ (* (neg (* x x)) -1/2) (* x y))) (sin (/ x (* y 2)))) (/ (* (neg (* x x)) -1/2) (* x y)) (* (neg (* x x)) -1/2) (tan (/ (* (neg (* x x)) -1/2) (* x y))) (sin 0) (/ -1 (* (+ (sin 0) (sin (/ x y))) 1/2)) (+ (sin 0) (sin (/ x y))) (* (/ -1 (* (+ (sin 0) (sin (/ x y))) 1/2)) (sin (* -1/2 (/ x y)))) (* (/ 1 (/ (pow (* 2 y) 3) x)) (pow (* 2 y) 2)) (pow (* 2 y) 2) (/ (tan (* (/ 1 (/ (pow (* 2 y) 3) x)) (pow (* 2 y) 2))) (sin (/ x (* y 2)))) (/ 1 (/ (pow (* 2 y) 3) x)) (log (/ y x)) (+ (* (/ 1/8 (* y y)) (* x x)) 1) (sin (/ x (* y 2))) (sin (/ x y)) (sin (* -1/2 (/ x y))) (tan (* (/ 1 (/ (pow (* 2 y) 3) x)) (pow (* 2 y) 2)))) |
| 1× | egg-herbie |
| 10 918× | lower-fma.f64 |
| 10 918× | lower-fma.f32 |
| 5 756× | lower-*.f64 |
| 5 756× | lower-*.f32 |
| 5 340× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 593 | 8044 |
| 1 | 1775 | 7878 |
| 2 | 5880 | 7813 |
| 0 | 8473 | 7432 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* -1 (+ (log y) (log (/ 1 x)))) |
(* -1 (+ (log y) (log (/ 1 x)))) |
(* -1 (+ (log y) (log (/ 1 x)))) |
(* -1 (+ (log 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)))) |
(cos (* -1/2 (/ x y))) |
(cos (* -1/2 (/ x y))) |
(cos (* -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)))) |
(/ 1/8 (pow y 2)) |
(/ 1/8 (pow y 2)) |
(/ 1/8 (pow y 2)) |
(/ 1/8 (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(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)))) |
(* 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)))) |
(/ -2 (sin (/ x y))) |
(/ -2 (sin (/ x y))) |
(/ -2 (sin (/ x y))) |
(/ -2 (sin (/ x y))) |
(sin (/ x y)) |
(sin (/ x y)) |
(sin (/ x y)) |
(sin (/ x y)) |
(* -2 (/ (sin (* -1/2 (/ x y))) (sin (/ x y)))) |
(* -2 (/ (sin (* -1/2 (/ x y))) (sin (/ x y)))) |
(* -2 (/ (sin (* -1/2 (/ x y))) (sin (/ x y)))) |
(* -2 (/ (sin (* -1/2 (/ x y))) (sin (/ x y)))) |
(* 1/2 (/ 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)))) |
(* 1/8 (/ x (pow y 3))) |
(* 1/8 (/ x (pow y 3))) |
(* 1/8 (/ x (pow y 3))) |
(* 1/8 (/ x (pow y 3))) |
(+ (log y) (log (/ 1 x))) |
(+ (log y) (log (/ 1 x))) |
(+ (log y) (log (/ 1 x))) |
(+ (log y) (log (/ 1 x))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) |
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) |
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (/ x y)) |
(sin (/ x y)) |
(sin (/ x y)) |
(sin (/ x y)) |
(sin (* -1/2 (/ x y))) |
(sin (* -1/2 (/ x y))) |
(sin (* -1/2 (/ x y))) |
(sin (* -1/2 (/ x y))) |
(/ (sin (* 1/2 (/ x y))) (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)))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* -1 (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))) |
(* -1 (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))) |
(* -1 (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))) |
(* -1 (+ (log (/ 1 x)) (* -1 (log (/ 1 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 |
(- (+ 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))))))))) |
(/ 1/8 (pow y 2)) |
(/ 1/8 (pow y 2)) |
(/ 1/8 (pow y 2)) |
(/ 1/8 (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(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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(* 1/2 (/ x y)) |
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(* y (- (* -1/3 (/ x (pow y 2))) (* 2 (/ 1 x)))) |
(* y (- (* -1 (/ (+ (* -1/60 (pow x 3)) (* 1/18 (pow x 3))) (pow y 4))) (+ (* 1/3 (/ x (pow y 2))) (* 2 (/ 1 x))))) |
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(/ x y) |
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(/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (* 1/120 (/ (pow x 5) (pow y 4))))) y) |
(/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (+ (* -1/5040 (/ (pow x 7) (pow y 6))) (* 1/120 (/ (pow x 5) (pow y 4)))))) y) |
1 |
(+ 1 (* -2 (/ (- (* 1/48 (pow x 2)) (* 1/12 (pow x 2))) (pow y 2)))) |
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(* 1/2 (/ x y)) |
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(* 4 (pow y 2)) |
(* 4 (pow y 2)) |
(* 4 (pow y 2)) |
(* 4 (pow y 2)) |
1 |
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(* 1/8 (/ x (pow y 3))) |
(* 1/8 (/ x (pow y 3))) |
(* 1/8 (/ x (pow y 3))) |
(* 1/8 (/ x (pow y 3))) |
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1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
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(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
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(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
(/ x y) |
(/ (+ x (* -1/6 (/ (pow x 3) (pow y 2)))) y) |
(/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (* 1/120 (/ (pow x 5) (pow y 4))))) y) |
(/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (+ (* -1/5040 (/ (pow x 7) (pow y 6))) (* 1/120 (/ (pow x 5) (pow y 4)))))) y) |
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(/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y) |
(/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y) |
(/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y) |
(* 1/2 (/ x y)) |
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(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
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(* -1 (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))) |
(* -1 (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))) |
(* -1 (+ (log (/ -1 x)) (* -1 (log (/ -1 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 |
(- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
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(/ 1/8 (pow y 2)) |
(/ 1/8 (pow y 2)) |
(/ 1/8 (pow y 2)) |
(/ 1/8 (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(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)))) |
(- (+ 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)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
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(* 1/2 (/ x y)) |
(* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y)) |
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(* -2 (/ y x)) |
(* -1 (* y (+ (* 1/3 (/ x (pow y 2))) (* 2 (/ 1 x))))) |
(* -1 (* y (- (+ (* -1 (/ (+ (* -1/18 (pow x 3)) (* 1/60 (pow x 3))) (pow y 4))) (* 2 (/ 1 x))) (* -1/3 (/ x (pow y 2)))))) |
(* -1 (* y (- (+ (* -1 (/ (+ (* -1/2520 (pow x 5)) (+ (* 1/360 (pow x 5)) (* 1/6 (* (pow x 2) (+ (* -1/18 (pow x 3)) (* 1/60 (pow x 3))))))) (pow y 6))) (* 2 (/ 1 x))) (+ (* -1/3 (/ x (pow y 2))) (+ (* -1/18 (/ (pow x 3) (pow y 4))) (* 1/60 (/ (pow x 3) (pow y 4)))))))) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y)) |
1 |
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(* 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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(* 1/8 (/ x (pow y 3))) |
(* 1/8 (/ x (pow y 3))) |
(* 1/8 (/ x (pow y 3))) |
(* 1/8 (/ x (pow y 3))) |
(+ (log (/ -1 x)) (* -1 (log (/ -1 y)))) |
(+ (log (/ -1 x)) (* -1 (log (/ -1 y)))) |
(+ (log (/ -1 x)) (* -1 (log (/ -1 y)))) |
(+ (log (/ -1 x)) (* -1 (log (/ -1 y)))) |
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(* 1/2 (/ x y)) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y)) |
(* -1/2 (/ x y)) |
(* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)) |
(* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)) |
(* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)) |
(* 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)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* -1 (+ (log y) (* -1 (log x)))) |
(* -1 (+ (log y) (* -1 (log x)))) |
(* -1 (+ (log y) (* -1 (log x)))) |
(* -1 (+ (log 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 |
(+ 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 |
(+ 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) |
(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)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 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)))) |
(* -2 (/ y x)) |
(/ (+ (* -2 y) (* -1/3 (/ (pow x 2) y))) x) |
(/ (+ (* -2 y) (* (pow x 2) (- (* -7/180 (/ (pow x 2) (pow y 3))) (* 1/3 (/ 1 y))))) x) |
(/ (+ (* -2 y) (* (pow x 2) (- (* (pow x 2) (- (* -31/7560 (/ (pow x 2) (pow y 5))) (* 7/180 (/ 1 (pow y 3))))) (* 1/3 (/ 1 y))))) x) |
(/ x y) |
(* x (+ (* -1/6 (/ (pow x 2) (pow y 3))) (/ 1 y))) |
(* x (+ (* (pow x 2) (- (* 1/120 (/ (pow x 2) (pow y 5))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/5040 (/ (pow x 2) (pow y 7))) (* 1/120 (/ 1 (pow y 5))))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y))) |
1 |
(+ 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)))))) |
(* 1/8 (/ x (pow y 3))) |
(* 1/8 (/ x (pow y 3))) |
(* 1/8 (/ x (pow y 3))) |
(* 1/8 (/ x (pow y 3))) |
(+ (log y) (* -1 (log x))) |
(+ (log y) (* -1 (log x))) |
(+ (log y) (* -1 (log x))) |
(+ (log y) (* -1 (log x))) |
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(* 1/2 (/ x y)) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(/ x y) |
(* x (+ (* -1/6 (/ (pow x 2) (pow y 3))) (/ 1 y))) |
(* x (+ (* (pow x 2) (- (* 1/120 (/ (pow x 2) (pow y 5))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/5040 (/ (pow x 2) (pow y 7))) (* 1/120 (/ 1 (pow y 5))))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y))) |
(* -1/2 (/ x y)) |
(* x (- (* 1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (- (* (pow x 2) (+ (* -1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* 1/2 (/ x y)) |
(* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* -1 (+ (log y) (log (/ 1 x)))) |
(* -1 (+ (log y) (log (/ 1 x)))) |
(* -1 (+ (log y) (log (/ 1 x)))) |
(* -1 (+ (log 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)))) |
(cos (* -1/2 (/ x y))) |
(cos (* -1/2 (/ x y))) |
(cos (* -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)))) |
(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)))) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ -2 (sin (/ x y))) |
(/ -2 (sin (/ x y))) |
(/ -2 (sin (/ x y))) |
(/ -2 (sin (/ x y))) |
(sin (/ x y)) |
(sin (/ x y)) |
(sin (/ x y)) |
(sin (/ x y)) |
(* -2 (/ (sin (* -1/2 (/ x y))) (sin (/ x y)))) |
(* -2 (/ (sin (* -1/2 (/ x y))) (sin (/ x y)))) |
(* -2 (/ (sin (* -1/2 (/ x y))) (sin (/ x y)))) |
(* -2 (/ (sin (* -1/2 (/ x y))) (sin (/ x y)))) |
(* 1/2 (/ 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)))) |
(* 1/8 (/ x (pow y 3))) |
(* 1/8 (/ x (pow y 3))) |
(* 1/8 (/ x (pow y 3))) |
(* 1/8 (/ x (pow y 3))) |
(+ (log y) (log (/ 1 x))) |
(+ (log y) (log (/ 1 x))) |
(+ (log y) (log (/ 1 x))) |
(+ (log y) (log (/ 1 x))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (/ x y)) |
(sin (/ x y)) |
(sin (/ x y)) |
(sin (/ x y)) |
(sin (* -1/2 (/ x y))) |
(sin (* -1/2 (/ x y))) |
(sin (* -1/2 (/ x y))) |
(sin (* -1/2 (/ x y))) |
(/ (sin (* 1/2 (/ x y))) (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)))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* -1 (+ (log (* -1 y)) (log (/ -1 x)))) |
(* -1 (+ (log (* -1 y)) (log (/ -1 x)))) |
(* -1 (+ (log (* -1 y)) (log (/ -1 x)))) |
(* -1 (+ (log (* -1 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)))) |
(cos (* -1/2 (/ x y))) |
(cos (* -1/2 (/ x y))) |
(cos (* -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)))) |
(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)))) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ -2 (sin (/ x y))) |
(/ -2 (sin (/ x y))) |
(/ -2 (sin (/ x y))) |
(/ -2 (sin (/ x y))) |
(sin (/ x y)) |
(sin (/ x y)) |
(sin (/ x y)) |
(sin (/ x y)) |
(* -2 (/ (sin (* -1/2 (/ x y))) (sin (/ x y)))) |
(* -2 (/ (sin (* -1/2 (/ x y))) (sin (/ x y)))) |
(* -2 (/ (sin (* -1/2 (/ x y))) (sin (/ x y)))) |
(* -2 (/ (sin (* -1/2 (/ x y))) (sin (/ x y)))) |
(* 1/2 (/ 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)))) |
(* 1/8 (/ x (pow y 3))) |
(* 1/8 (/ x (pow y 3))) |
(* 1/8 (/ x (pow y 3))) |
(* 1/8 (/ x (pow y 3))) |
(+ (log (* -1 y)) (log (/ -1 x))) |
(+ (log (* -1 y)) (log (/ -1 x))) |
(+ (log (* -1 y)) (log (/ -1 x))) |
(+ (log (* -1 y)) (log (/ -1 x))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (/ x y)) |
(sin (/ x y)) |
(sin (/ x y)) |
(sin (/ x y)) |
(sin (* -1/2 (/ x y))) |
(sin (* -1/2 (/ x y))) |
(sin (* -1/2 (/ x y))) |
(sin (* -1/2 (/ x y))) |
(/ (sin (* 1/2 (/ x y))) (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)))) |
| Outputs |
|---|
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(* -1 (+ (log y) (log (/ 1 x)))) |
(-.f64 (log.f64 x) (log.f64 y)) |
(* -1 (+ (log y) (log (/ 1 x)))) |
(-.f64 (log.f64 x) (log.f64 y)) |
(* -1 (+ (log y) (log (/ 1 x)))) |
(-.f64 (log.f64 x) (log.f64 y)) |
(* -1 (+ (log y) (log (/ 1 x)))) |
(-.f64 (log.f64 x) (log.f64 y)) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(cos (* -1/2 (/ x y))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(cos (* -1/2 (/ x y))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(cos (* -1/2 (/ x y))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(cos (* -1/2 (/ x y))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ 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 y 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 y y)) |
(/ 1/8 (pow y 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 y y)) |
(/ 1/8 (pow y 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 y y)) |
(/ 1/8 (pow y 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 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 (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) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ -2 (sin (/ x y))) |
(/.f64 #s(literal -2 binary64) (sin.f64 (/.f64 x y))) |
(/ -2 (sin (/ x y))) |
(/.f64 #s(literal -2 binary64) (sin.f64 (/.f64 x y))) |
(/ -2 (sin (/ x y))) |
(/.f64 #s(literal -2 binary64) (sin.f64 (/.f64 x y))) |
(/ -2 (sin (/ x y))) |
(/.f64 #s(literal -2 binary64) (sin.f64 (/.f64 x y))) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(* -2 (/ (sin (* -1/2 (/ x y))) (sin (/ x y)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x y))) #s(literal -2 binary64)) |
(* -2 (/ (sin (* -1/2 (/ x y))) (sin (/ x y)))) |
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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))) |
(/ -2 (sin (/ x y))) |
(/.f64 #s(literal -2 binary64) (sin.f64 (/.f64 x y))) |
(/ -2 (sin (/ x y))) |
(/.f64 #s(literal -2 binary64) (sin.f64 (/.f64 x y))) |
(/ -2 (sin (/ x y))) |
(/.f64 #s(literal -2 binary64) (sin.f64 (/.f64 x y))) |
(/ -2 (sin (/ x y))) |
(/.f64 #s(literal -2 binary64) (sin.f64 (/.f64 x y))) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(* -2 (/ (sin (* -1/2 (/ x y))) (sin (/ x y)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x y))) #s(literal -2 binary64)) |
(* -2 (/ (sin (* -1/2 (/ x y))) (sin (/ x y)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x y))) #s(literal -2 binary64)) |
(* -2 (/ (sin (* -1/2 (/ x y))) (sin (/ x y)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x y))) #s(literal -2 binary64)) |
(* -2 (/ (sin (* -1/2 (/ x y))) (sin (/ x y)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x y))) #s(literal -2 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 (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 (/ x (pow y 3))) |
(*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1/8 binary64)) |
(* 1/8 (/ x (pow y 3))) |
(*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1/8 binary64)) |
(* 1/8 (/ x (pow y 3))) |
(*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1/8 binary64)) |
(* 1/8 (/ x (pow y 3))) |
(*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1/8 binary64)) |
(+ (log y) (log (/ 1 x))) |
(-.f64 (log.f64 y) (log.f64 x)) |
(+ (log y) (log (/ 1 x))) |
(-.f64 (log.f64 y) (log.f64 x)) |
(+ (log y) (log (/ 1 x))) |
(-.f64 (log.f64 y) (log.f64 x)) |
(+ (log y) (log (/ 1 x))) |
(-.f64 (log.f64 y) (log.f64 x)) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y)) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(sin (* -1/2 (/ x y))) |
(sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(sin (* -1/2 (/ x y))) |
(sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(sin (* -1/2 (/ x y))) |
(sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(sin (* -1/2 (/ x y))) |
(sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x 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))) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(* -1 (+ (log (* -1 y)) (log (/ -1 x)))) |
(neg.f64 (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(* -1 (+ (log (* -1 y)) (log (/ -1 x)))) |
(neg.f64 (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(* -1 (+ (log (* -1 y)) (log (/ -1 x)))) |
(neg.f64 (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(* -1 (+ (log (* -1 y)) (log (/ -1 x)))) |
(neg.f64 (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(cos (* -1/2 (/ x y))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(cos (* -1/2 (/ x y))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(cos (* -1/2 (/ x y))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(cos (* -1/2 (/ x y))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ 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) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x 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) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ -2 (sin (/ x y))) |
(/.f64 #s(literal -2 binary64) (sin.f64 (/.f64 x y))) |
(/ -2 (sin (/ x y))) |
(/.f64 #s(literal -2 binary64) (sin.f64 (/.f64 x y))) |
(/ -2 (sin (/ x y))) |
(/.f64 #s(literal -2 binary64) (sin.f64 (/.f64 x y))) |
(/ -2 (sin (/ x y))) |
(/.f64 #s(literal -2 binary64) (sin.f64 (/.f64 x y))) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(* -2 (/ (sin (* -1/2 (/ x y))) (sin (/ x y)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x y))) #s(literal -2 binary64)) |
(* -2 (/ (sin (* -1/2 (/ x y))) (sin (/ x y)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x y))) #s(literal -2 binary64)) |
(* -2 (/ (sin (* -1/2 (/ x y))) (sin (/ x y)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x y))) #s(literal -2 binary64)) |
(* -2 (/ (sin (* -1/2 (/ x y))) (sin (/ x y)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x y))) #s(literal -2 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 (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 (/ x (pow y 3))) |
(*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1/8 binary64)) |
(* 1/8 (/ x (pow y 3))) |
(*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1/8 binary64)) |
(* 1/8 (/ x (pow y 3))) |
(*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1/8 binary64)) |
(* 1/8 (/ x (pow y 3))) |
(*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1/8 binary64)) |
(+ (log (* -1 y)) (log (/ -1 x))) |
(+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log (* -1 y)) (log (/ -1 x))) |
(+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log (* -1 y)) (log (/ -1 x))) |
(+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log (* -1 y)) (log (/ -1 x))) |
(+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y)) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(sin (* -1/2 (/ x y))) |
(sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(sin (* -1/2 (/ x y))) |
(sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(sin (* -1/2 (/ x y))) |
(sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(sin (* -1/2 (/ x y))) |
(sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x 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))) |
| 3 428× | lower-*.f32 |
| 3 406× | lower-*.f64 |
| 2 690× | lower-/.f32 |
| 2 670× | lower-/.f64 |
| 2 648× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 255 |
| 0 | 95 | 207 |
| 1 | 316 | 177 |
| 2 | 1607 | 153 |
| 0 | 8791 | 151 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (log.f64 (/.f64 y x)) #s(literal -1 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)))))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))))) |
#s(approx (/ (tan (/ x (* y 2))) (/ 1 (pow (sin (/ x (* 2 y))) -1))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1/8 binary64) (*.f64 y y)) |
(*.f64 y y) |
(*.f64 x x) |
(/.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 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y)) |
(*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) |
(tan.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y))) |
(sin.f64 #s(literal 0 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) |
(+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x 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 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) x)) (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 (tan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) x)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) x)) |
(log.f64 (/.f64 y x)) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(sin.f64 (/.f64 x y)) |
(sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(tan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) x)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 y)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 x)))) |
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (neg.f64 y) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) |
(*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) x) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 x y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 x y)) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y)) |
(*.f64 x (pow.f64 y #s(literal -1 binary64))) |
(pow.f64 (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y x))) |
(pow.f64 (/.f64 x y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 y x) #s(literal -1 binary64)) |
(/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x y) #s(literal 0 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 x y)) |
(/.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64))) (neg.f64 (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 y))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x)))) |
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 y)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x))) |
(/.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (neg.f64 x) y)) |
(/.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 (/.f64 x y) #s(literal 0 binary64))) |
(/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 0 binary64))) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64)) |
(/.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 x) y) (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 0 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x)) |
(/.f64 x y) |
(neg.f64 (/.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (neg.f64 x) y)) |
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 y)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 x))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (neg.f64 y) x) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) x #s(literal 0 binary64)) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) |
(fma.f64 (/.f64 x y) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 x y) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y) #s(literal 0 binary64)) |
(fma.f64 x (pow.f64 y #s(literal -1 binary64)) #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (neg.f64 x) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (neg.f64 x) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 (/.f64 y x)))) |
(exp.f64 (log.f64 (/.f64 x y))) |
(+.f64 (/.f64 x y) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (/.f64 x y)) |
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y x))) |
(*.f64 (log.f64 (/.f64 y x)) (log.f64 (exp.f64 #s(literal -1 binary64)))) |
(*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)) |
(neg.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64))) |
(neg.f64 (log.f64 (/.f64 y x))) |
(-.f64 (log.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (log.f64 (/.f64 (neg.f64 x) y))) |
(-.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (log.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (neg.f64 y) x))) |
(-.f64 (log.f64 (pow.f64 y #s(literal -1 binary64))) (neg.f64 (log.f64 x))) |
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) |
(-.f64 (log.f64 x) (log.f64 y)) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 y x))) |
(+.f64 (neg.f64 (log.f64 y)) (neg.f64 (neg.f64 (log.f64 x)))) |
(+.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (log.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))) |
(+.f64 (log.f64 (pow.f64 y #s(literal -1 binary64))) (log.f64 x)) |
(+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+.f64 (log.f64 x) (log.f64 (pow.f64 y #s(literal -1 binary64)))) |
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 x y))) |
(log.f64 (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 (/.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64)) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x y))) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) |
(*.f64 (*.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -2 binary64) (/.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (sin.f64 (/.f64 x y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x y))) (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(*.f64 (neg.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (/.f64 #s(literal -2 binary64) (sin.f64 (/.f64 x y)))) |
(*.f64 (/.f64 #s(literal -2 binary64) (sin.f64 (/.f64 x y))) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(*.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(*.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) |
(*.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)))) |
(pow.f64 (exp.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 (/.f64 x y)))) |
(/.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x y)))) #s(literal -1/2 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x y))) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) #s(literal -1/2 binary64)) |
(/.f64 (/.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) (sin.f64 (/.f64 x y))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x y))) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 (sin.f64 (/.f64 x y)) #s(literal -1/2 binary64))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 (/.f64 x y)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) (pow.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1 binary64))) |
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (/.f64 x y)) (/.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x y))) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) |
(neg.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64))) #s(literal 1 binary64))) |
(neg.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64))))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) |
(neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) |
(neg.f64 (neg.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 (/.f64 x y))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) |
(*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))) |
(*.f64 (neg.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) |
(*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(*.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64))))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) |
(pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 (/.f64 x y))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 (*.f64 (sin.f64 (/.f64 x y)) #s(literal -1/2 binary64)) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (neg.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(/.f64 (neg.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) |
(/.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(neg.f64 (/.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (neg.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))) |
(neg.f64 (neg.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) |
(fma.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (neg.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))) |
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(*.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (/.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (/.f64 x y)))) |
(*.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 (/.f64 x y)))) |
(pow.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sin.f64 (/.f64 x y))) (neg.f64 (sin.f64 (/.f64 x y))))) (neg.f64 (sin.f64 (/.f64 x y)))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64)) #s(literal 0 binary64)) (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sin.f64 (/.f64 x y))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 (sin.f64 (/.f64 x y))) (neg.f64 (sin.f64 (/.f64 x y))) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (/.f64 x y))))))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64)))) (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (/.f64 x y)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64)))) (*.f64 (neg.f64 (sin.f64 (/.f64 x y))) (neg.f64 (sin.f64 (/.f64 x y))))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))) (*.f64 (sin.f64 (/.f64 x y)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))) (neg.f64 (sin.f64 (/.f64 x y)))) |
(/.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)) (sin.f64 (/.f64 x y))) |
(/.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (/.f64 x y)) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x y)))) |
(neg.f64 (/.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))))) |
(neg.f64 (sin.f64 (/.f64 (neg.f64 x) y))) |
(neg.f64 (neg.f64 (sin.f64 (/.f64 x y)))) |
(sin.f64 (/.f64 x y)) |
(fma.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 (/.f64 x y))) #s(literal 2 binary64) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)))) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x y))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (/.f64 x y)) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (sin.f64 (/.f64 x y)) (cos.f64 #s(literal 0 binary64)) (*.f64 (cos.f64 (/.f64 x y)) #s(literal 0 binary64))) |
(fma.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x y)) (*.f64 (cos.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y)))) |
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (/.f64 x y))) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 (/.f64 x y))) #s(literal 0 binary64)) |
(-.f64 (sin.f64 (/.f64 x y)) #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (/.f64 x y)))) |
(+.f64 (*.f64 (sin.f64 (/.f64 x y)) (cos.f64 #s(literal 0 binary64))) (*.f64 (cos.f64 (/.f64 x y)) #s(literal 0 binary64))) |
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x y))) (*.f64 (cos.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y)))) |
(+.f64 (sin.f64 (/.f64 x y)) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x y))) |
(*.f64 (neg.f64 (sqrt.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sqrt.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(*.f64 (sqrt.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (neg.f64 (sqrt.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))) |
(*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(*.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(*.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(pow.f64 (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) |
(neg.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(+.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(*.f64 (neg.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(literal -1 binary64)) |
(*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) |
(*.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(pow.f64 (pow.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(literal -1 binary64)) |
(/.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (neg.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) |
(/.f64 (sin.f64 (/.f64 x y)) (+.f64 (cos.f64 (/.f64 x y)) (cos.f64 #s(literal 0 binary64)))) |
(/.f64 (sin.f64 (/.f64 x y)) (+.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1 binary64)))) |
(neg.f64 (tan.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(neg.f64 (tan.f64 (*.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(neg.f64 (neg.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) (neg.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
Compiled 30 023 to 3 351 computations (88.8% saved)
103 alts after pruning (99 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 486 | 40 | 1 526 |
| Fresh | 16 | 59 | 75 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 506 | 103 | 1 609 |
| Status | Accuracy | Program |
|---|---|---|
| 54.3% | (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))))) #s(literal -1/2 binary64)) | |
| 54.3% | (pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)) | |
| 26.8% | (/.f64 (/.f64 (sin.f64 (*.f64 (/.f64 y (*.f64 y y)) (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 (/.f64 y (*.f64 y y)) (*.f64 #s(literal 1/2 binary64) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 40.5% | (/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)))) | |
| 23.1% | (/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))) (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)))) | |
| 40.9% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y)))) #s(literal 2 binary64)) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) | |
| 37.1% | (/.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))))) | |
| 22.0% | (/.f64 (tan.f64 (/.f64 (/.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 16.0% | (/.f64 (tan.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) #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))))) | |
| 23.4% | (/.f64 (tan.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) (*.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 23.5% | (/.f64 (tan.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 21.7% | (/.f64 (tan.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| 21.4% | (/.f64 (tan.f64 (/.f64 (*.f64 (neg.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (*.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 27.0% | (/.f64 (tan.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y (/.f64 y x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 27.3% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) | |
| 39.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) #s(literal 2 binary64))) | |
| 38.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)))) | |
| 40.1% | (/.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)))) | |
| 31.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) y) (*.f64 #s(literal -2 binary64) y)))) | |
| 27.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) (/.f64 x y))) (*.f64 #s(literal -2 binary64) y)) (*.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 #s(literal -2 binary64) (/.f64 x y)))))) | |
| 23.6% | (/.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)))) | |
| 27.3% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 (/.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal -4 binary64) (*.f64 y y)))))) | |
| 42.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) | |
| 38.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64))))))) | |
| ✓ | 42.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 39.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)))))) | |
| 41.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| 30.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -2 binary64)) y) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 #s(literal -1 binary64) y)))) | |
| 25.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1 binary64)))))) | |
| 16.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)))))) | |
| 37.1% | (/.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))))) | |
| 36.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (exp.f64 (*.f64 (neg.f64 (pow.f64 (neg.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) #s(literal 2 binary64)))))) | |
| 36.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (exp.f64 (neg.f64 (+.f64 (log.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) #s(literal -1 binary64))) (log.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) #s(literal -1 binary64))))))) | |
| 25.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (exp.f64 (neg.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))))) | |
| 25.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (exp.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 2 binary64))))))) | |
| 38.3% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (/ 1 (pow (sin (/ x (* 2 y))) -1)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| 38.2% | (/.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))))) | |
| 29.4% | (/.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 40.4% | (/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.8% | (/.f64 (tan.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 23.7% | (/.f64 (tan.f64 (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) x) (*.f64 (neg.f64 x) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 14.1% | (/.f64 (tan.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (neg.f64 (sin.f64 (*.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 3 binary64))))))) | |
| 21.9% | (/.f64 (tan.f64 (*.f64 (/.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y y))) (*.f64 #s(literal -2 binary64) y))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| 20.4% | (/.f64 (tan.f64 (*.f64 (/.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y y))) (*.f64 #s(literal -2 binary64) y))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| 14.0% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) x)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) | |
| 12.9% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) x)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 14.0% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) x)) (*.f64 (*.f64 y y) #s(literal 4 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 27.5% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (*.f64 #s(literal -1/4 binary64) x) y))) (*.f64 #s(literal -2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.8% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 42.1% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| 23.2% | (/.f64 (tan.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 31.0% | (/.f64 (tan.f64 (*.f64 (neg.f64 x) (*.f64 x (/.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 37.2% | (/.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))))) | |
| 37.2% | (/.f64 (tan.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64))) #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)))) | |
| 42.4% | (/.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 (sin.f64 (/.f64 x y)) #s(literal -1/2 binary64))) | |
| 41.4% | (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (neg.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))))) | |
| 38.1% | (/.f64 #s(approx (tan (/ (* (neg (* x x)) -1/2) (* x y))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 21.5% | (/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) 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)))) | |
| 25.3% | (/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (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))))) | |
| 41.5% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 (/.f64 x y))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) | |
| 40.2% | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.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 -1/2 binary64)) (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) | |
| 41.3% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x y))))) | |
| 41.4% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (neg.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))))) | |
| 40.5% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) | |
| 40.8% | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 (/.f64 x y))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) | |
| 54.4% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (pow.f64 x #s(literal -1 binary64))))) | |
| 54.7% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) | |
| 54.6% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| 45.7% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) | |
| 54.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) | |
| 54.8% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y x)))))) | |
| 55.0% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 y)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x)))))) | |
| ✓ | 54.9% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
| 54.8% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64))))))) | |
| 55.1% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 y)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 x))))))) | |
| 39.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (neg.f64 y) x))))) | |
| 24.3% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (log.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 0 binary64)))))))) | |
| 54.9% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 (log.f64 x) (log.f64 y)))))) | |
| 54.9% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 y) (log.f64 y) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 y) (log.f64 x))))) #s(literal -1 binary64)))))) | |
| 47.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 x y))) #s(literal -1 binary64)))))) | |
| 55.1% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)))) (-.f64 (log.f64 y) (neg.f64 (log.f64 x)))) #s(literal -1 binary64)))))) | |
| 43.1% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (log.f64 (/.f64 x y)) (log.f64 (/.f64 x y)) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 x y)))))) #s(literal -1 binary64)))))) | |
| 55.0% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (fma.f64 (log.f64 y) (log.f64 y) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 y) (log.f64 x))))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 y) (log.f64 y) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 y) (log.f64 x)))))) #s(literal -1 binary64)))))) | |
| 46.8% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (log.f64 (*.f64 x y))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x y)))) #s(literal -1 binary64)))))) | |
| 55.1% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (log.f64 (/.f64 x y)))))) | |
| 51.4% | (/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1 binary64)))) | |
| 51.4% | (/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (exp (* (log (/ y x)) -1)))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))) | |
| 38.5% | (*.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))))) | |
| 40.2% | (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| 40.4% | (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y)))) | |
| 40.5% | (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))))) | |
| 40.5% | (*.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)))) | |
| 40.8% | (*.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))))) | |
| 36.7% | (*.f64 #s(approx (/ -1 (* (+ (sin 0) (sin (/ x y))) 1/2)) (/.f64 (fma.f64 (*.f64 x (/.f64 x y)) #s(literal -1/3 binary64) (*.f64 #s(literal -2 binary64) y)) x)) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) | |
| 36.7% | (*.f64 #s(approx (/ -1 (* (+ (sin 0) (sin (/ x y))) 1/2)) (*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 x y) (/.f64 #s(literal -2 binary64) x)) y)) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) | |
| 36.7% | (*.f64 #s(approx (/ -1 (* (+ (sin 0) (sin (/ x y))) 1/2)) (*.f64 (/.f64 y x) #s(literal -2 binary64))) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) | |
| ✓ | 47.2% | #s(approx (/ (tan (/ x (* y 2))) (/ 1 (pow (sin (/ x (* 2 y))) -1))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))) |
| 28.8% | #s(approx (/ (tan (/ x (* y 2))) (/ 1 (pow (sin (/ x (* 2 y))) -1))) #s(approx (+ (* (/ 1/8 (* y y)) (* x x)) 1) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) y))) | |
| 51.0% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 x y) (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) #s(literal 1 binary64))) | |
| 48.8% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y))))) | |
| ✓ | 55.1% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
| 36.8% | #s(approx (/ (tan (/ x (* y 2))) (exp (neg (* (log (sin (/ x (* 2 y)))) -1)))) (*.f64 (/.f64 (/.f64 x y) (exp.f64 (-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) (log.f64 y)))) #s(literal 1/2 binary64))) | |
| 37.5% | #s(approx (/ (tan (/ x (* y 2))) (exp (neg (* (log (sin (/ x (* 2 y)))) -1)))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (exp.f64 (+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y)) (log.f64 x)))) x)) |
Compiled 5 174 to 2 225 computations (57% saved)
| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(approx (/ (tan (/ x (* y 2))) (/ 1 (pow (sin (/ x (* 2 y))) -1))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal 8 binary64)) y)) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 (/.f64 x y) x) #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 x y) (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) y))) |
#s(approx (/ (tan (/ x (* y 2))) (/ 1 (pow (sin (/ x (* 2 y))) -1))) #s(approx (+ (* (/ 1/8 (* y y)) (* x x)) 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 (exp (* (log (/ y x)) -1)))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1 binary64)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) |
(*.f64 #s(approx (/ -1 (* (+ (sin 0) (sin (/ x y))) 1/2)) (*.f64 (/.f64 y x) #s(literal -2 binary64))) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
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(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 (log.f64 x) (log.f64 y)))))) |
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(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)) (*.f64 x (/.f64 #s(literal -1/2 binary64) y)) (*.f64 #s(literal 0 binary64) (*.f64 x (/.f64 #s(literal -1/2 binary64) y))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y x)))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))))) |
(/.f64 (tan.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x)))) |
(/.f64 (tan.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (exp.f64 (neg.f64 (*.f64 (log.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))))))) |
(/.f64 (tan.f64 (/.f64 (*.f64 (neg.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (*.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y)))) #s(literal 2 binary64)) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) |
(/.f64 (tan.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (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 (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 (tan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) x)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)))))) |
(/.f64 (tan.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (/.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))) (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.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 -1/2 binary64)) (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) |
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) x)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal 0 binary64)))) |
(/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (exp.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 2 binary64))))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)))) |
(*.f64 (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 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1/2 binary64)) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 (tan.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64))) #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 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)))) |
(/.f64 (/.f64 (-.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 (neg.f64 x) y))) (+.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (/.f64 (neg.f64 x) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (tan.f64 (/.f64 (*.f64 x (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64))))) (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 x (*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (log.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 0 binary64)))))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (exp.f64 (neg.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))))) |
(/.f64 (tan.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) x)) #s(literal -1 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 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) x)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (neg.f64 (sin.f64 (*.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 3 binary64))))))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64))) (*.f64 (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal -2 binary64)) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 y)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 x))))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 y)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 x y))) #s(literal -1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64))))))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) (/.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1/2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (log.f64 (/.f64 x y)) (log.f64 (/.f64 x y)) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 x y)))))) #s(literal -1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)))) (-.f64 (log.f64 y) (neg.f64 (log.f64 x)))) #s(literal -1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (log.f64 (*.f64 x y))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x y)))) #s(literal -1 binary64)))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (exp.f64 (*.f64 (neg.f64 (pow.f64 (neg.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) #s(literal 2 binary64)))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (exp.f64 (neg.f64 (+.f64 (log.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) #s(literal -1 binary64))) (log.f64 (pow.f64 (sqrt.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) (exp.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 y) (log.f64 y) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 y) (log.f64 x))))) #s(literal -1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (fma.f64 (log.f64 y) (log.f64 y) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 y) (log.f64 x))))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 y) (log.f64 y) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 y) (log.f64 x)))))) #s(literal -1 binary64)))))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (log.f64 (/.f64 x y)) (log.f64 (/.f64 x y)) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 x y)))))) #s(literal -1 binary64)))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
5 calls:
| 78.0ms | (*.f64 y #s(literal 2 binary64)) |
| 71.0ms | x |
| 64.0ms | y |
| 56.0ms | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 44.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.1% | 1 | x |
| 56.7% | 2 | y |
| 57.2% | 2 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 57.1% | 2 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 56.7% | 2 | (*.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))) (/ 1 (pow (sin (/ x (* 2 y))) -1))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal 8 binary64)) y)) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 (/.f64 x y) x) #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 x y) (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) y))) |
#s(approx (/ (tan (/ x (* y 2))) (/ 1 (pow (sin (/ x (* 2 y))) -1))) #s(approx (+ (* (/ 1/8 (* y y)) (* x x)) 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 (exp (* (log (/ y x)) -1)))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1 binary64)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))) |
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(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 (sqrt.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) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 (log.f64 x) (log.f64 y)))))) |
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)) (*.f64 x (/.f64 #s(literal -1/2 binary64) y)) (*.f64 #s(literal 0 binary64) (*.f64 x (/.f64 #s(literal -1/2 binary64) y))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y x)))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))))) |
(/.f64 (tan.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x)))) |
(/.f64 (tan.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (exp.f64 (neg.f64 (*.f64 (log.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))))))) |
(/.f64 (tan.f64 (/.f64 (*.f64 (neg.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (*.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y)))) #s(literal 2 binary64)) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) |
(/.f64 (tan.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (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 (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 (tan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) x)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)))))) |
(/.f64 (tan.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (/.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))) (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.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 -1/2 binary64)) (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) |
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) x)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal 0 binary64)))) |
(/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (exp.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 2 binary64))))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)))) |
(*.f64 (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 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1/2 binary64)) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 (tan.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64))) #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 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)))) |
(/.f64 (/.f64 (-.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 (neg.f64 x) y))) (+.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (/.f64 (neg.f64 x) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (tan.f64 (/.f64 (*.f64 x (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64))))) (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 x (*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (log.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 0 binary64)))))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (exp.f64 (neg.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))))) |
(/.f64 (tan.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) x)) #s(literal -1 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 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) x)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (neg.f64 (sin.f64 (*.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 3 binary64))))))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64))) (*.f64 (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal -2 binary64)) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 y)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 x))))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 y)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 x y))) #s(literal -1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64))))))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) (/.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1/2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (log.f64 (/.f64 x y)))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
2 calls:
| 55.0ms | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 45.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.1% | 2 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 56.8% | 2 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(approx (/ (tan (/ x (* y 2))) (/ 1 (pow (sin (/ x (* 2 y))) -1))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal 8 binary64)) y)) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 (/.f64 x y) x) #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 x y) (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) y))) |
#s(approx (/ (tan (/ x (* y 2))) (/ 1 (pow (sin (/ x (* 2 y))) -1))) #s(approx (+ (* (/ 1/8 (* y y)) (* x x)) 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 (exp (* (log (/ y x)) -1)))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1 binary64)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) |
(*.f64 #s(approx (/ -1 (* (+ (sin 0) (sin (/ x y))) 1/2)) (*.f64 (/.f64 y x) #s(literal -2 binary64))) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal -1/2 binary64) 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 (/ (* (neg (* x x)) -1/2) (* x y))) (*.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 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (/ 1 (pow (sin (/ x (* 2 y))) -1)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 (tan.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 (tan.f64 (*.f64 (/.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y y))) (*.f64 #s(literal -2 binary64) y))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(*.f64 #s(approx (/ -1 (* (+ (sin 0) (sin (/ x y))) 1/2)) (/.f64 (fma.f64 (*.f64 x (/.f64 x y)) #s(literal -1/3 binary64) (*.f64 #s(literal -2 binary64) y)) x)) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(*.f64 #s(approx (/ -1 (* (+ (sin 0) (sin (/ x y))) 1/2)) (*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 x y) (/.f64 #s(literal -2 binary64) x)) y)) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) 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)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y))))) |
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))))) #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (pow.f64 x #s(literal -1 binary64))))) |
(*.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 (sin.f64 (/.f64 x y)) #s(literal -1/2 binary64))) |
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (neg.f64 y) x))))) |
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) |
(*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(/.f64 (tan.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) (*.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 (/.f64 x y))) (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 #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 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y)))) |
(/.f64 (tan.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (*.f64 (/.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y y))) (*.f64 #s(literal -2 binary64) y))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 (tan.f64 (*.f64 (/.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y y))) (*.f64 #s(literal -2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) y) x) (*.f64 #s(literal -4 binary64) (*.f64 y y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 (/.f64 x y))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(/.f64 (tan.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y (/.f64 y x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x y))))) |
(/.f64 (tan.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (*.f64 (neg.f64 x) (*.f64 x (/.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) x) (*.f64 (neg.f64 x) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) y))))) |
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 y (/.f64 y x))) (*.f64 #s(literal -2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (*.f64 y x) #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 (/.f64 x (*.f64 (/.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal -4 binary64) (*.f64 y 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 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) y) y)))) |
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) y) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (tan.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))) (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 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) y) (*.f64 #s(literal -2 binary64) y)))) |
(/.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 (/.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y))) (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 (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)))) (sin.f64 (/.f64 x (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -2 binary64)) y) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 #s(literal -1 binary64) y)))) |
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (*.f64 #s(literal -1/4 binary64) x) y))) (*.f64 #s(literal -2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.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)))))) |
(/.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))))) |
(pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
| 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)) |
1 calls:
| 55.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.0% | 2 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
Compiled 5 to 5 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(approx (/ (tan (/ x (* y 2))) (/ 1 (pow (sin (/ x (* 2 y))) -1))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal 8 binary64)) y)) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 (/.f64 x y) x) #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 x y) (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) y))) |
#s(approx (/ (tan (/ x (* y 2))) (/ 1 (pow (sin (/ x (* 2 y))) -1))) #s(approx (+ (* (/ 1/8 (* y y)) (* x x)) 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 (exp (* (log (/ y x)) -1)))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1 binary64)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
| Outputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
1 calls:
| 17.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.9% | 2 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
Compiled 5 to 5 computations (0% saved)
Total -17.3b remaining (-60.3%)
Threshold costs -17.3b (-60.3%)
| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(approx (/ (tan (/ x (* y 2))) (/ 1 (pow (sin (/ x (* 2 y))) -1))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal 8 binary64)) y)) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 (/.f64 x y) x) #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 x y) (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) y))) |
#s(approx (/ (tan (/ x (* y 2))) (/ 1 (pow (sin (/ x (* 2 y))) -1))) #s(approx (+ (* (/ 1/8 (* y y)) (* x x)) 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 (exp (* (log (/ y x)) -1)))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
4 calls:
| 5.0ms | y |
| 3.0ms | (*.f64 y #s(literal 2 binary64)) |
| 3.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 3.0ms | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.1% | 1 | y |
| 55.1% | 1 | (*.f64 y #s(literal 2 binary64)) |
| 55.1% | 1 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 55.1% | 1 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
Compiled 22 to 19 computations (13.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 14.992117362767415 | 30.58537584997304 |
Compiled 16 to 13 computations (18.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.280844903914418e+128 | 1.3278644204423405e+129 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.2947892266730256e+145 | 7.245381774613537e+147 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.607322418918485e+37 | 2.200323123327169e+38 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | egg-herbie |
| 30× | distribute-lft-neg-in-binary64-*.f64-neg.f64 |
| 24× | distribute-neg-in-binary64-+.f64-neg.f64 |
| 20× | *-commutative-binary64-*.f64 |
| 20× | neg-sub0-binary64--.f64-neg.f64 |
| 20× | neg-mul-1-binary64-*.f64-neg.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 186 |
| 1 | 71 | 185 |
| 2 | 76 | 183 |
| 3 | 88 | 183 |
| 4 | 114 | 183 |
| 5 | 151 | 183 |
| 6 | 177 | 183 |
| 7 | 180 | 183 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 20 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (log.f64 (/.f64 x y)) (log.f64 (/.f64 x y)) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 x y)))))) #s(literal -1 binary64)))))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 999999999999999998217443564185241415988928868759412500436543339729940401905904649497115766142268560009777175966751665376232210432 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (log.f64 (/.f64 x y)))))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 39999999999999999563482447285636784507139225041605435780720061858901209596441032595416451225830520245186635713283815594336131046093817348450418688 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 99999999999999997748809823456034029568 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
| Outputs |
|---|
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 20 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (log.f64 (/.f64 x y)) (log.f64 (/.f64 x y)) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 x y)))))) #s(literal -1 binary64)))))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal 20 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64)) (fma.f64 (log.f64 (/.f64 x y)) (log.f64 (/.f64 x y)) (*.f64 (log.f64 (/.f64 x y)) #s(literal 0 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 999999999999999998217443564185241415988928868759412500436543339729940401905904649497115766142268560009777175966751665376232210432 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (log.f64 (/.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 999999999999999998217443564185241415988928868759412500436543339729940401905904649497115766142268560009777175966751665376232210432 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (exp.f64 (log.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 39999999999999999563482447285636784507139225041605435780720061858901209596441032595416451225830520245186635713283815594336131046093817348450418688 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 39999999999999999563482447285636784507139225041605435780720061858901209596441032595416451225830520245186635713283815594336131046093817348450418688 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 99999999999999997748809823456034029568 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 99999999999999997748809823456034029568 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
| 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 | 57 | 255 |
| 0 | 95 | 207 |
| 1 | 316 | 177 |
| 2 | 1607 | 153 |
| 0 | 8791 | 151 |
| 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 | 46 | 229 |
| 0 | 79 | 208 |
| 1 | 215 | 191 |
| 2 | 898 | 180 |
| 3 | 7536 | 180 |
| 0 | 8503 | 180 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 231 to 157 computations (32% saved)
Compiled 484 to 252 computations (47.9% saved)
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