
Time bar (total: 9.6s)
| 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 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.5% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 37.5% | 37.5% | 62.4% | 0.1% | 0% | 0% | 0% | 7 |
| 43.8% | 43.7% | 56.2% | 0.1% | 0% | 0% | 0% | 8 |
| 43.8% | 43.7% | 56.2% | 0.1% | 0% | 0% | 0% | 9 |
| 46.9% | 46.8% | 53.1% | 0.1% | 0% | 0% | 0% | 10 |
| 46.9% | 46.8% | 53.1% | 0.1% | 0% | 0% | 0% | 11 |
| 48.4% | 48.4% | 51.5% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 14 to 12 computations (14.3% saved)
| 780.0ms | 8 256× | 0 | valid |
ival-tan: 182.0ms (30.3% of total)ival-sin: 165.0ms (27.5% of total)ival-div: 115.0ms (19.2% of total)ival-mult: 55.0ms (9.2% of total)ival-add: 35.0ms (5.8% of total)ival-neg: 34.0ms (5.7% of total)ival-true: 6.0ms (1% of total)exact: 5.0ms (0.8% of total)ival-assert: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
| 0 | 0 | - | 0 | - | (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) |
| 0 | 0 | - | 0 | - | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (sin.f64 B)) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (tan.f64 B)) |
| 0 | 0 | - | 0 | - | (tan.f64 B) |
| 0 | 0 | - | 0 | - | B |
| 0 | 0 | - | 0 | - | (sin.f64 B) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 115.0ms | 512× | 0 | valid |
Compiled 98 to 34 computations (65.3% saved)
ival-sin: 70.0ms (70.9% of total)ival-tan: 13.0ms (13.2% of total)ival-div: 7.0ms (7.1% of total)ival-mult: 3.0ms (3% of total)ival-add: 2.0ms (2% of total)ival-neg: 2.0ms (2% 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 |
| 176× | lower-fma.f64 |
| 176× | lower-fma.f32 |
| 128× | lower-*.f32 |
| 126× | lower-*.f64 |
| 106× | distribute-lft-neg-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 68 |
| 1 | 77 | 46 |
| 2 | 212 | 45 |
| 3 | 409 | 45 |
| 4 | 621 | 45 |
| 5 | 763 | 45 |
| 6 | 837 | 45 |
| 7 | 858 | 45 |
| 8 | 860 | 45 |
| 0 | 10 | 12 |
| 0 | 17 | 12 |
| 1 | 30 | 9 |
| 2 | 57 | 9 |
| 3 | 90 | 9 |
| 4 | 128 | 9 |
| 5 | 185 | 9 |
| 6 | 220 | 9 |
| 7 | 279 | 9 |
| 8 | 310 | 9 |
| 9 | 337 | 9 |
| 10 | 347 | 9 |
| 0 | 347 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| Outputs |
|---|
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(negabs B)
Compiled 14 to 10 computations (28.6% saved)
Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
Compiled 14 to 10 computations (28.6% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (tan.f64 B)) | |
| cost-diff | 0 | (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) | |
| cost-diff | 128 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) | |
| cost-diff | 320 | (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
| 176× | lower-fma.f64 |
| 176× | lower-fma.f32 |
| 128× | lower-*.f32 |
| 126× | lower-*.f64 |
| 64× | lower--.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 40 |
| 0 | 17 | 40 |
| 1 | 30 | 33 |
| 2 | 57 | 33 |
| 3 | 90 | 33 |
| 4 | 128 | 33 |
| 5 | 185 | 33 |
| 6 | 220 | 33 |
| 7 | 279 | 33 |
| 8 | 310 | 33 |
| 9 | 337 | 33 |
| 10 | 347 | 33 |
| 0 | 347 | 33 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
x |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
#s(literal 1 binary64) |
(tan.f64 B) |
B |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(sin.f64 B) |
| Outputs |
|---|
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) |
(neg.f64 (/.f64 x (tan.f64 B))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(/.f64 x (tan.f64 B)) |
x |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
#s(literal 1 binary64) |
(tan.f64 B) |
B |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(sin.f64 B) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) | |
| accuracy | 0.09765625 | (/.f64 #s(literal 1 binary64) (sin.f64 B)) | |
| accuracy | 0.15234375 | (/.f64 #s(literal 1 binary64) (tan.f64 B)) | |
| accuracy | 0.234375 | (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
| 27.0ms | 256× | 0 | valid |
Compiled 42 to 12 computations (71.4% saved)
ival-sin: 5.0ms (26.5% of total)ival-tan: 5.0ms (26.5% of total)ival-div: 3.0ms (15.9% of total)ival-mult: 3.0ms (15.9% of total)ival-add: 1.0ms (5.3% of total)ival-neg: 1.0ms (5.3% 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 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ()) |
#s(alt (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal 1 binary64) (tan.f64 B)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* x (cos B)) (sin B)) (taylor 0 x) (#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (cos B)) (sin B)) (taylor 0 x) (#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (cos B)) (sin B)) (taylor 0 x) (#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (cos B)) (sin B)) (taylor 0 x) (#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (cos B)) (sin B)) (taylor inf x) (#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (cos B)) (sin B)) (taylor inf x) (#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (cos B)) (sin B)) (taylor inf x) (#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (cos B)) (sin B)) (taylor inf x) (#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (cos B)) (sin B)) (taylor -inf x) (#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (cos B)) (sin B)) (taylor -inf x) (#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (cos B)) (sin B)) (taylor -inf x) (#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (cos B)) (sin B)) (taylor -inf x) (#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (/ x B) (taylor 0 B) (#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1/3 (* (pow B 2) x))) B) (taylor 0 B) (#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) (taylor 0 B) (#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) (taylor 0 B) (#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (cos B)) (sin B)) (taylor inf B) (#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (cos B)) (sin B)) (taylor inf B) (#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (cos B)) (sin B)) (taylor inf B) (#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (cos B)) (sin B)) (taylor inf B) (#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (cos B)) (sin B)) (taylor -inf B) (#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (cos B)) (sin B)) (taylor -inf B) (#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (cos B)) (sin B)) (taylor -inf B) (#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (cos B)) (sin B)) (taylor -inf B) (#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (sin B)) (taylor 0 x) (#s(alt (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) (taylor 0 x) (#s(alt (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) (taylor 0 x) (#s(alt (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) (taylor 0 x) (#s(alt (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor inf x) (#s(alt (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) (taylor inf x) (#s(alt (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) (taylor inf x) (#s(alt (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) (taylor inf x) (#s(alt (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor -inf x) (#s(alt (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) (taylor -inf x) (#s(alt (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) (taylor -inf x) (#s(alt (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) (taylor -inf x) (#s(alt (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 x) B) (taylor 0 B) (#s(alt (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B) (taylor 0 B) (#s(alt (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B) (taylor 0 B) (#s(alt (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) (taylor 0 B) (#s(alt (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) (taylor inf B) (#s(alt (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) (taylor inf B) (#s(alt (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) (taylor inf B) (#s(alt (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) (taylor inf B) (#s(alt (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) (taylor -inf B) (#s(alt (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) (taylor -inf B) (#s(alt (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) (taylor -inf B) (#s(alt (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) (taylor -inf B) (#s(alt (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor 0 x) (#s(alt (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor 0 x) (#s(alt (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor 0 x) (#s(alt (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor 0 x) (#s(alt (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor inf x) (#s(alt (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor inf x) (#s(alt (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor inf x) (#s(alt (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor inf x) (#s(alt (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor -inf x) (#s(alt (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor -inf x) (#s(alt (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor -inf x) (#s(alt (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor -inf x) (#s(alt (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x B)) (taylor 0 B) (#s(alt (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* 1/3 (* (pow B 2) x)) x) B) (taylor 0 B) (#s(alt (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x))))) x) B) (taylor 0 B) (#s(alt (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))) x) B) (taylor 0 B) (#s(alt (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor inf B) (#s(alt (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor inf B) (#s(alt (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor inf B) (#s(alt (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor inf B) (#s(alt (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor -inf B) (#s(alt (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor -inf B) (#s(alt (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor -inf B) (#s(alt (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor -inf B) (#s(alt (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 B) (taylor 0 B) (#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal 1 binary64) (tan.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1/3 (pow B 2))) B) (taylor 0 B) (#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal 1 binary64) (tan.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))) B) (taylor 0 B) (#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal 1 binary64) (tan.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))) B) (taylor 0 B) (#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal 1 binary64) (tan.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos B) (sin B)) (taylor inf B) (#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal 1 binary64) (tan.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos B) (sin B)) (taylor inf B) (#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal 1 binary64) (tan.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos B) (sin B)) (taylor inf B) (#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal 1 binary64) (tan.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos B) (sin B)) (taylor inf B) (#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal 1 binary64) (tan.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos B) (sin B)) (taylor -inf B) (#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal 1 binary64) (tan.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos B) (sin B)) (taylor -inf B) (#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal 1 binary64) (tan.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos B) (sin B)) (taylor -inf B) (#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal 1 binary64) (tan.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos B) (sin B)) (taylor -inf B) (#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal 1 binary64) (tan.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 B) (taylor 0 B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* 1/6 (pow B 2))) B) (taylor 0 B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B) (taylor 0 B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B) (taylor 0 B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (sin B)) (taylor inf B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (sin B)) (taylor inf B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (sin B)) (taylor inf B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (sin B)) (taylor inf B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (sin B)) (taylor -inf B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (sin B)) (taylor -inf B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (sin B)) (taylor -inf B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (sin B)) (taylor -inf B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ()) |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (* x (/ 1 (tan B))) |
| 2.0ms | B | @ | inf | (* x (/ 1 (tan B))) |
| 1.0ms | x | @ | inf | (* x (/ 1 (tan B))) |
| 1.0ms | B | @ | -inf | (* x (/ 1 (tan B))) |
| 1.0ms | B | @ | 0 | (* x (/ 1 (tan B))) |
| 1× | egg-herbie |
| 25 592× | lower-fma.f64 |
| 25 592× | lower-fma.f32 |
| 5 136× | lower-*.f64 |
| 5 136× | lower-*.f32 |
| 4 098× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 135 | 913 |
| 1 | 368 | 906 |
| 2 | 1218 | 888 |
| 3 | 4458 | 883 |
| 4 | 7788 | 881 |
| 0 | 8237 | 848 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ x B) |
(/ (+ x (* -1/3 (* (pow B 2) x))) B) |
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) |
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ 1 (sin B)) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(/ (- 1 x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ x B)) |
(/ (- (* 1/3 (* (pow B 2) x)) x) B) |
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x))))) x) B) |
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))) x) B) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/ 1 B) |
(/ (+ 1 (* -1/3 (pow B 2))) B) |
(/ (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))) B) |
(/ (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))) B) |
(/ (cos B) (sin B)) |
(/ (cos B) (sin B)) |
(/ (cos B) (sin B)) |
(/ (cos B) (sin B)) |
(/ (cos B) (sin B)) |
(/ (cos B) (sin B)) |
(/ (cos B) (sin B)) |
(/ (cos B) (sin B)) |
(/ 1 B) |
(/ (+ 1 (* 1/6 (pow B 2))) B) |
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B) |
(/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B) |
(/ 1 (sin B)) |
(/ 1 (sin B)) |
(/ 1 (sin B)) |
(/ 1 (sin B)) |
(/ 1 (sin B)) |
(/ 1 (sin B)) |
(/ 1 (sin B)) |
(/ 1 (sin B)) |
| Outputs |
|---|
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ x B) |
(/.f64 x B) |
(/ (+ x (* -1/3 (* (pow B 2) x))) B) |
(-.f64 (/.f64 x B) (*.f64 #s(literal 1/3 binary64) (*.f64 x B))) |
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) |
(/.f64 (fma.f64 (*.f64 B B) (*.f64 x (fma.f64 B (*.f64 B #s(literal -1/45 binary64)) #s(literal -1/3 binary64))) x) B) |
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal -1/3 binary64) (*.f64 B (*.f64 B (fma.f64 x #s(literal -1/45 binary64) (*.f64 (*.f64 x (*.f64 B B)) #s(literal -2/945 binary64)))))) x) B) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ 1 (sin B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/ (- 1 x) B) |
(/.f64 (-.f64 #s(literal 1 binary64) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B) |
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B) |
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64))) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ x B)) |
(/.f64 x (neg.f64 B)) |
(/ (- (* 1/3 (* (pow B 2) x)) x) B) |
(fma.f64 x (*.f64 B #s(literal 1/3 binary64)) (/.f64 x (neg.f64 B))) |
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x))))) x) B) |
(fma.f64 B (*.f64 (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64)) (/.f64 x (neg.f64 B))) |
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))) x) B) |
(fma.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 x (*.f64 B B)) #s(literal 2/945 binary64) (*.f64 x #s(literal 1/45 binary64)))) (*.f64 x #s(literal 1/3 binary64))) (*.f64 B #s(literal 1 binary64)) (/.f64 x (neg.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(/ 1 B) |
(/.f64 #s(literal 1 binary64) B) |
(/ (+ 1 (* -1/3 (pow B 2))) B) |
(/.f64 (fma.f64 B (*.f64 B #s(literal -1/3 binary64)) #s(literal 1 binary64)) B) |
(/ (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B #s(literal -1/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) B) |
(/ (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal -2/945 binary64) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) B) |
(/ (cos B) (sin B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/ (cos B) (sin B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/ (cos B) (sin B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/ (cos B) (sin B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/ (cos B) (sin B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/ (cos B) (sin B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/ (cos B) (sin B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/ (cos B) (sin B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/ 1 B) |
(/.f64 #s(literal 1 binary64) B) |
(/ (+ 1 (* 1/6 (pow B 2))) B) |
(/.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) B) |
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B) |
(/.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B) |
(/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 B (*.f64 B #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B) |
(/ 1 (sin B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(/ 1 (sin B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(/ 1 (sin B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(/ 1 (sin B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(/ 1 (sin B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(/ 1 (sin B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(/ 1 (sin B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(/ 1 (sin B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
| 3 432× | lower-fma.f64 |
| 3 432× | lower-fma.f32 |
| 2 550× | lower-*.f32 |
| 2 548× | lower-*.f64 |
| 1 498× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 33 |
| 0 | 17 | 26 |
| 1 | 59 | 25 |
| 2 | 376 | 25 |
| 3 | 4328 | 25 |
| 0 | 8975 | 25 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
| Outputs |
|---|
(+.f64 (/.f64 x (tan.f64 B)) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B))) |
(exp.f64 (log.f64 (/.f64 x (tan.f64 B)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (tan.f64 B))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 B) x)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 #s(literal 0 binary64) (tan.f64 B)) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)))) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B))) (/.f64 x (tan.f64 B))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 x (tan.f64 B)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) x #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 (neg.f64 x)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 x #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (exp.f64 (log.f64 (neg.f64 x))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (exp.f64 (log.f64 x)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 x (tan.f64 B)) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (/.f64 x (tan.f64 B)) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (/.f64 x (tan.f64 B)) (exp.f64 (log.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 B))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (cos.f64 B) x) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (cos.f64 B) (neg.f64 x)) #s(literal 0 binary64)) |
(fma.f64 (cos.f64 B) (/.f64 x (sin.f64 B)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 x (tan.f64 B)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 (tan.f64 B) x) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 (tan.f64 B) x) #s(literal -3 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal -2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) x) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (neg.f64 x)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 x (sin.f64 B)) (cos.f64 B) #s(literal 0 binary64)) |
(fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 B))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 x (sin.f64 B)) (*.f64 (cos.f64 B) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (/.f64 x (sin.f64 B))) (cos.f64 B) #s(literal 0 binary64)) |
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(*.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (cos.f64 B)) |
(*.f64 (*.f64 (neg.f64 x) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 (neg.f64 x)) (sin.f64 B)) (cos.f64 B)) |
(*.f64 (/.f64 (neg.f64 (neg.f64 x)) (sin.f64 B)) (neg.f64 (cos.f64 B))) |
(*.f64 (exp.f64 (log.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(*.f64 (exp.f64 (log.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (/.f64 x (tan.f64 B))) |
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(exp.f64 (neg.f64 (log.f64 (tan.f64 B)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 B) #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (tan.f64 B)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 (tan.f64 B)) #s(literal -1/2 binary64) (*.f64 (log.f64 (tan.f64 B)) #s(literal -1/2 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
(/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B))) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/.f64 #s(literal -1 binary64) (tan.f64 B)) |
(/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 B) #s(literal -3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 B)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(pow.f64 (tan.f64 B) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (tan.f64 B) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (tan.f64 B))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (cos.f64 B)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (neg.f64 (cos.f64 B))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) |
(*.f64 (cos.f64 B) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(*.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (cos.f64 B))) |
(*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (cos.f64 B) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(*.f64 (neg.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) |
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(exp.f64 (neg.f64 (log.f64 (sin.f64 B)))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 B))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 B))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 B)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)) |
(neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (sin.f64 B)) |
(/.f64 (+.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) #s(literal 0 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64))))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64))) |
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (sin.f64 B)) |
(pow.f64 (sin.f64 B) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 1 binary64)) |
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (sin.f64 B))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(*.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) |
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
Compiled 9 615 to 1 204 computations (87.5% saved)
17 alts after pruning (17 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 536 | 17 | 553 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 537 | 17 | 554 |
| Status | Accuracy | Program |
|---|---|---|
| 99.8% | (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) | |
| ▶ | 99.7% | (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 39.5% | (/.f64 (fma.f64 x (sin.f64 B) (tan.f64 B)) (*.f64 (tan.f64 B) (sin.f64 B))) | |
| 46.0% | (/.f64 (+.f64 (sin.f64 B) (/.f64 (tan.f64 B) x)) (*.f64 (/.f64 (tan.f64 B) x) (sin.f64 B))) | |
| ▶ | 99.8% | (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
| ▶ | 99.8% | (+.f64 (neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 99.7% | (+.f64 (neg.f64 (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) | |
| 46.5% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64))) | |
| 57.0% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)))) | |
| 76.5% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) | |
| 75.5% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) | |
| 52.8% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64))) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) | |
| 52.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B)) | |
| 52.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x) B)) | |
| ▶ | 52.4% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
| 49.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))) | |
| ▶ | 52.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
Compiled 548 to 350 computations (36.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 x (sin.f64 B)) | |
| cost-diff | 0 | (neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) | |
| cost-diff | 1088 | (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B))) | |
| cost-diff | 7232 | (+.f64 (neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (tan.f64 B) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (tan.f64 B)) | |
| cost-diff | 320 | (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) | |
| cost-diff | 0 | (sin.f64 B) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sin.f64 B)) | |
| cost-diff | 0 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) x) B) | |
| cost-diff | 0 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) | |
| cost-diff | 0 | (/.f64 x (tan.f64 B)) | |
| cost-diff | 0 | (sin.f64 B) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sin.f64 B)) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
| 736× | lower-fma.f32 |
| 734× | lower-fma.f64 |
| 512× | lower-*.f64 |
| 512× | lower-*.f32 |
| 404× | times-frac |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 159 |
| 0 | 45 | 155 |
| 1 | 80 | 144 |
| 2 | 156 | 144 |
| 3 | 332 | 144 |
| 4 | 701 | 144 |
| 5 | 1039 | 141 |
| 6 | 1380 | 141 |
| 7 | 1780 | 141 |
| 8 | 1885 | 141 |
| 9 | 1914 | 141 |
| 10 | 1914 | 141 |
| 0 | 1914 | 141 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
#s(literal 1 binary64) |
(sin.f64 B) |
B |
(/.f64 x (tan.f64 B)) |
x |
(tan.f64 B) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) B) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
B |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
#s(literal 1 binary64) |
(sin.f64 B) |
B |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
#s(literal 1 binary64) |
(tan.f64 B) |
B |
(neg.f64 x) |
x |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(sin.f64 B) |
(+.f64 (neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) |
(/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B))) |
(/.f64 x (sin.f64 B)) |
x |
(sin.f64 B) |
B |
(/.f64 #s(literal 1 binary64) (cos.f64 B)) |
#s(literal 1 binary64) |
(cos.f64 B) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
#s(literal 1 binary64) |
(sin.f64 B) |
B |
(/.f64 x (tan.f64 B)) |
x |
(tan.f64 B) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) B) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
B |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
#s(literal 1 binary64) |
(sin.f64 B) |
B |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
#s(literal 1 binary64) |
(tan.f64 B) |
B |
(neg.f64 x) |
x |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(sin.f64 B) |
(+.f64 (neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(neg.f64 (/.f64 (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B))) |
(neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) |
(neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B))) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/.f64 x (sin.f64 B)) |
x |
(sin.f64 B) |
B |
(/.f64 #s(literal 1 binary64) (cos.f64 B)) |
#s(literal 1 binary64) |
(cos.f64 B) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.09765625 | (/.f64 #s(literal 1 binary64) (sin.f64 B)) | |
| accuracy | 0.1015625 | (/.f64 #s(literal 1 binary64) (cos.f64 B)) | |
| accuracy | 0.10546875 | (/.f64 x (sin.f64 B)) | |
| accuracy | 0.2109375 | (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B))) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.08984375 | (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) | |
| accuracy | 0.09765625 | (/.f64 #s(literal 1 binary64) (sin.f64 B)) | |
| accuracy | 0.15234375 | (/.f64 #s(literal 1 binary64) (tan.f64 B)) | |
| accuracy | 0 | (sin.f64 B) | |
| accuracy | 0.09765625 | (/.f64 #s(literal 1 binary64) (sin.f64 B)) | |
| accuracy | 30.3435815820353 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.00390625 | (/.f64 (-.f64 #s(literal 1 binary64) x) B) | |
| accuracy | 30.43494298495191 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) | |
| accuracy | 0 | (sin.f64 B) | |
| accuracy | 0.0078125 | (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) | |
| accuracy | 0.09765625 | (/.f64 #s(literal 1 binary64) (sin.f64 B)) | |
| accuracy | 0.15625 | (/.f64 x (tan.f64 B)) |
| 71.0ms | 256× | 0 | valid |
Compiled 151 to 25 computations (83.4% saved)
ival-div: 14.0ms (27.1% of total)ival-tan: 10.0ms (19.4% of total)ival-cos: 10.0ms (19.4% of total)ival-sin: 6.0ms (11.6% of total)ival-add: 3.0ms (5.8% of total)ival-mult: 3.0ms (5.8% of total)ival-neg: 3.0ms (5.8% of total)ival-sub: 2.0ms (3.9% 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 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ()) |
#s(alt (sin.f64 B) (patch (sin.f64 B) #<representation binary64>) () ()) |
#s(alt (/.f64 x (tan.f64 B)) (patch (/.f64 x (tan.f64 B)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) (patch #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) B) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) B) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal 1 binary64) (tan.f64 B)) #<representation binary64>) () ()) |
#s(alt (tan.f64 B) (patch (tan.f64 B) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (+.f64 (neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B))) (patch (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) (patch (neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) #<representation binary64>) () ()) |
#s(alt (/.f64 x (sin.f64 B)) (patch (/.f64 x (sin.f64 B)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 B)) (patch (/.f64 #s(literal 1 binary64) (cos.f64 B)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (- 1 x) B) (taylor 0 B) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B) (taylor 0 B) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B) (taylor 0 B) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) (taylor 0 B) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) (taylor inf B) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) (taylor inf B) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) (taylor inf B) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) (taylor inf B) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) (taylor -inf B) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) (taylor -inf B) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) (taylor -inf B) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) (taylor -inf B) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (sin B)) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 B) (taylor 0 B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* 1/6 (pow B 2))) B) (taylor 0 B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B) (taylor 0 B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B) (taylor 0 B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (sin B)) (taylor inf B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (sin B)) (taylor inf B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (sin B)) (taylor inf B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (sin B)) (taylor inf B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (sin B)) (taylor -inf B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (sin B)) (taylor -inf B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (sin B)) (taylor -inf B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (sin B)) (taylor -inf B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt B (taylor 0 B) (#s(alt (sin.f64 B) (patch (sin.f64 B) #<representation binary64>) () ())) ()) |
#s(alt (* B (+ 1 (* -1/6 (pow B 2)))) (taylor 0 B) (#s(alt (sin.f64 B) (patch (sin.f64 B) #<representation binary64>) () ())) ()) |
#s(alt (* B (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6)))) (taylor 0 B) (#s(alt (sin.f64 B) (patch (sin.f64 B) #<representation binary64>) () ())) ()) |
#s(alt (* B (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/120 (* -1/5040 (pow B 2)))) 1/6)))) (taylor 0 B) (#s(alt (sin.f64 B) (patch (sin.f64 B) #<representation binary64>) () ())) ()) |
#s(alt (sin B) (taylor inf B) (#s(alt (sin.f64 B) (patch (sin.f64 B) #<representation binary64>) () ())) ()) |
#s(alt (sin B) (taylor inf B) (#s(alt (sin.f64 B) (patch (sin.f64 B) #<representation binary64>) () ())) ()) |
#s(alt (sin B) (taylor inf B) (#s(alt (sin.f64 B) (patch (sin.f64 B) #<representation binary64>) () ())) ()) |
#s(alt (sin B) (taylor inf B) (#s(alt (sin.f64 B) (patch (sin.f64 B) #<representation binary64>) () ())) ()) |
#s(alt (sin B) (taylor -inf B) (#s(alt (sin.f64 B) (patch (sin.f64 B) #<representation binary64>) () ())) ()) |
#s(alt (sin B) (taylor -inf B) (#s(alt (sin.f64 B) (patch (sin.f64 B) #<representation binary64>) () ())) ()) |
#s(alt (sin B) (taylor -inf B) (#s(alt (sin.f64 B) (patch (sin.f64 B) #<representation binary64>) () ())) ()) |
#s(alt (sin B) (taylor -inf B) (#s(alt (sin.f64 B) (patch (sin.f64 B) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (cos B)) (sin B)) (taylor 0 x) (#s(alt (/.f64 x (tan.f64 B)) (patch (/.f64 x (tan.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (cos B)) (sin B)) (taylor 0 x) (#s(alt (/.f64 x (tan.f64 B)) (patch (/.f64 x (tan.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (cos B)) (sin B)) (taylor 0 x) (#s(alt (/.f64 x (tan.f64 B)) (patch (/.f64 x (tan.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (cos B)) (sin B)) (taylor 0 x) (#s(alt (/.f64 x (tan.f64 B)) (patch (/.f64 x (tan.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (cos B)) (sin B)) (taylor inf x) (#s(alt (/.f64 x (tan.f64 B)) (patch (/.f64 x (tan.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (cos B)) (sin B)) (taylor inf x) (#s(alt (/.f64 x (tan.f64 B)) (patch (/.f64 x (tan.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (cos B)) (sin B)) (taylor inf x) (#s(alt (/.f64 x (tan.f64 B)) (patch (/.f64 x (tan.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (cos B)) (sin B)) (taylor inf x) (#s(alt (/.f64 x (tan.f64 B)) (patch (/.f64 x (tan.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (cos B)) (sin B)) (taylor -inf x) (#s(alt (/.f64 x (tan.f64 B)) (patch (/.f64 x (tan.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (cos B)) (sin B)) (taylor -inf x) (#s(alt (/.f64 x (tan.f64 B)) (patch (/.f64 x (tan.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (cos B)) (sin B)) (taylor -inf x) (#s(alt (/.f64 x (tan.f64 B)) (patch (/.f64 x (tan.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (cos B)) (sin B)) (taylor -inf x) (#s(alt (/.f64 x (tan.f64 B)) (patch (/.f64 x (tan.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ x B) (taylor 0 B) (#s(alt (/.f64 x (tan.f64 B)) (patch (/.f64 x (tan.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1/3 (* (pow B 2) x))) B) (taylor 0 B) (#s(alt (/.f64 x (tan.f64 B)) (patch (/.f64 x (tan.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) (taylor 0 B) (#s(alt (/.f64 x (tan.f64 B)) (patch (/.f64 x (tan.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) (taylor 0 B) (#s(alt (/.f64 x (tan.f64 B)) (patch (/.f64 x (tan.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (cos B)) (sin B)) (taylor inf B) (#s(alt (/.f64 x (tan.f64 B)) (patch (/.f64 x (tan.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (cos B)) (sin B)) (taylor inf B) (#s(alt (/.f64 x (tan.f64 B)) (patch (/.f64 x (tan.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (cos B)) (sin B)) (taylor inf B) (#s(alt (/.f64 x (tan.f64 B)) (patch (/.f64 x (tan.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (cos B)) (sin B)) (taylor inf B) (#s(alt (/.f64 x (tan.f64 B)) (patch (/.f64 x (tan.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (cos B)) (sin B)) (taylor -inf B) (#s(alt (/.f64 x (tan.f64 B)) (patch (/.f64 x (tan.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (cos B)) (sin B)) (taylor -inf B) (#s(alt (/.f64 x (tan.f64 B)) (patch (/.f64 x (tan.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (cos B)) (sin B)) (taylor -inf B) (#s(alt (/.f64 x (tan.f64 B)) (patch (/.f64 x (tan.f64 B)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor inf x) (#s(alt (neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) (patch (neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor -inf x) (#s(alt (neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) (patch (neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor -inf x) (#s(alt (neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) (patch (neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor -inf x) (#s(alt (neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) (patch (neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor -inf x) (#s(alt (neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) (patch (neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x B)) (taylor 0 B) (#s(alt (neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) (patch (neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* (pow B 2) (- (* -1/6 x) (* -1/2 x))) x) B) (taylor 0 B) (#s(alt (neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) (patch (neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* (pow B 2) (- (+ (* -1/6 x) (* (pow B 2) (- (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x)) (* 1/24 x)))) (* -1/2 x))) x) B) (taylor 0 B) (#s(alt (neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) (patch (neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* (pow B 2) (- (+ (* -1/6 x) (* (pow B 2) (- (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (+ (* 1/120 x) (* (pow B 2) (- (+ (* -1/6 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x)))) (+ (* -1/5040 x) (* 1/120 (- (* -1/2 x) (* -1/6 x))))) (* -1/720 x))))) (* 1/24 x)))) (* -1/2 x))) x) B) (taylor 0 B) (#s(alt (neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) (patch (neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor inf B) (#s(alt (neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) (patch (neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor inf B) (#s(alt (neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) (patch (neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor inf B) (#s(alt (neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) (patch (neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor inf B) (#s(alt (neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) (patch (neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor -inf B) (#s(alt (neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) (patch (neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor -inf B) (#s(alt (neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) (patch (neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor -inf B) (#s(alt (neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) (patch (neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor -inf B) (#s(alt (neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) (patch (neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (sin B)) (taylor 0 x) (#s(alt (/.f64 x (sin.f64 B)) (patch (/.f64 x (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (sin B)) (taylor 0 x) (#s(alt (/.f64 x (sin.f64 B)) (patch (/.f64 x (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (sin B)) (taylor 0 x) (#s(alt (/.f64 x (sin.f64 B)) (patch (/.f64 x (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (sin B)) (taylor 0 x) (#s(alt (/.f64 x (sin.f64 B)) (patch (/.f64 x (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (sin B)) (taylor inf x) (#s(alt (/.f64 x (sin.f64 B)) (patch (/.f64 x (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (sin B)) (taylor inf x) (#s(alt (/.f64 x (sin.f64 B)) (patch (/.f64 x (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (sin B)) (taylor inf x) (#s(alt (/.f64 x (sin.f64 B)) (patch (/.f64 x (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (sin B)) (taylor inf x) (#s(alt (/.f64 x (sin.f64 B)) (patch (/.f64 x (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (sin B)) (taylor -inf x) (#s(alt (/.f64 x (sin.f64 B)) (patch (/.f64 x (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (sin B)) (taylor -inf x) (#s(alt (/.f64 x (sin.f64 B)) (patch (/.f64 x (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (sin B)) (taylor -inf x) (#s(alt (/.f64 x (sin.f64 B)) (patch (/.f64 x (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (sin B)) (taylor -inf x) (#s(alt (/.f64 x (sin.f64 B)) (patch (/.f64 x (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ x B) (taylor 0 B) (#s(alt (/.f64 x (sin.f64 B)) (patch (/.f64 x (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* 1/6 (* (pow B 2) x))) B) (taylor 0 B) (#s(alt (/.f64 x (sin.f64 B)) (patch (/.f64 x (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/36 x) (* 1/120 x)))) (* -1/6 x)))) B) (taylor 0 B) (#s(alt (/.f64 x (sin.f64 B)) (patch (/.f64 x (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/5040 x) (+ (* 1/720 x) (* 1/6 (+ (* -1/36 x) (* 1/120 x))))))) (+ (* -1/36 x) (* 1/120 x)))) (* -1/6 x)))) B) (taylor 0 B) (#s(alt (/.f64 x (sin.f64 B)) (patch (/.f64 x (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (sin B)) (taylor inf B) (#s(alt (/.f64 x (sin.f64 B)) (patch (/.f64 x (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (sin B)) (taylor inf B) (#s(alt (/.f64 x (sin.f64 B)) (patch (/.f64 x (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (sin B)) (taylor inf B) (#s(alt (/.f64 x (sin.f64 B)) (patch (/.f64 x (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (sin B)) (taylor inf B) (#s(alt (/.f64 x (sin.f64 B)) (patch (/.f64 x (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (sin B)) (taylor -inf B) (#s(alt (/.f64 x (sin.f64 B)) (patch (/.f64 x (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (sin B)) (taylor -inf B) (#s(alt (/.f64 x (sin.f64 B)) (patch (/.f64 x (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (sin B)) (taylor -inf B) (#s(alt (/.f64 x (sin.f64 B)) (patch (/.f64 x (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (sin B)) (taylor -inf B) (#s(alt (/.f64 x (sin.f64 B)) (patch (/.f64 x (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 B) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 B)) (patch (/.f64 #s(literal 1 binary64) (cos.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/2 (pow B 2))) (taylor 0 B) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 B)) (patch (/.f64 #s(literal 1 binary64) (cos.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow B 2) (+ 1/2 (* 5/24 (pow B 2))))) (taylor 0 B) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 B)) (patch (/.f64 #s(literal 1 binary64) (cos.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow B 2) (+ 1/2 (* (pow B 2) (+ 5/24 (* 61/720 (pow B 2))))))) (taylor 0 B) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 B)) (patch (/.f64 #s(literal 1 binary64) (cos.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos B)) (taylor inf B) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 B)) (patch (/.f64 #s(literal 1 binary64) (cos.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos B)) (taylor inf B) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 B)) (patch (/.f64 #s(literal 1 binary64) (cos.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos B)) (taylor inf B) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 B)) (patch (/.f64 #s(literal 1 binary64) (cos.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos B)) (taylor inf B) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 B)) (patch (/.f64 #s(literal 1 binary64) (cos.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos B)) (taylor -inf B) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 B)) (patch (/.f64 #s(literal 1 binary64) (cos.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos B)) (taylor -inf B) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 B)) (patch (/.f64 #s(literal 1 binary64) (cos.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos B)) (taylor -inf B) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 B)) (patch (/.f64 #s(literal 1 binary64) (cos.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos B)) (taylor -inf B) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 B)) (patch (/.f64 #s(literal 1 binary64) (cos.f64 B)) #<representation binary64>) () ())) ()) |
81 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | B | @ | 0 | (/ x (sin B)) |
| 2.0ms | B | @ | -inf | (- (/ 1 (sin B)) (/ x (tan B))) |
| 1.0ms | B | @ | 0 | (+ (neg (/ (/ x (sin B)) (/ 1 (cos B)))) (/ 1 (sin B))) |
| 1.0ms | B | @ | -inf | (+ (neg (/ (/ x (sin B)) (/ 1 (cos B)))) (/ 1 (sin B))) |
| 1.0ms | B | @ | inf | (+ (neg (/ (/ x (sin B)) (/ 1 (cos B)))) (/ 1 (sin B))) |
| 1× | egg-herbie |
| 13 478× | lower-fma.f64 |
| 13 478× | lower-fma.f32 |
| 6 648× | lower-+.f64 |
| 6 648× | lower-+.f32 |
| 4 158× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 315 | 3020 |
| 1 | 889 | 2957 |
| 2 | 2766 | 2854 |
| 0 | 8014 | 2739 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- 1 x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(/ 1 (sin B)) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(/ 1 B) |
(/ (+ 1 (* 1/6 (pow B 2))) B) |
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B) |
(/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B) |
(/ 1 (sin B)) |
(/ 1 (sin B)) |
(/ 1 (sin B)) |
(/ 1 (sin B)) |
(/ 1 (sin B)) |
(/ 1 (sin B)) |
(/ 1 (sin B)) |
(/ 1 (sin B)) |
B |
(* B (+ 1 (* -1/6 (pow B 2)))) |
(* B (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6)))) |
(* B (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/120 (* -1/5040 (pow B 2)))) 1/6)))) |
(sin B) |
(sin B) |
(sin B) |
(sin B) |
(sin B) |
(sin B) |
(sin B) |
(sin B) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ x B) |
(/ (+ x (* -1/3 (* (pow B 2) x))) B) |
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) |
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ 1 (sin B)) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(/ (- 1 x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(/ 1 B) |
(+ (* -1 (/ x B)) (/ 1 B)) |
(+ (* -1 (/ x B)) (/ 1 B)) |
(+ (* -1 (/ x B)) (/ 1 B)) |
(* -1 (/ x B)) |
(* x (- (/ 1 (* B x)) (/ 1 B))) |
(* x (- (/ 1 (* B x)) (/ 1 B))) |
(* x (- (/ 1 (* B x)) (/ 1 B))) |
(* -1 (/ x B)) |
(* -1 (* x (- (/ 1 B) (/ 1 (* B x))))) |
(* -1 (* x (- (/ 1 B) (/ 1 (* B x))))) |
(* -1 (* x (- (/ 1 B) (/ 1 (* B x))))) |
(/ (- 1 x) B) |
(/ (- 1 x) B) |
(/ (- 1 x) B) |
(/ (- 1 x) B) |
(/ (- 1 x) B) |
(/ (- 1 x) B) |
(/ (- 1 x) B) |
(/ (- 1 x) B) |
(/ (- 1 x) B) |
(/ (- 1 x) B) |
(/ (- 1 x) B) |
(/ (- 1 x) B) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(/ 1 (sin B)) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(/ (- 1 x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(/ (+ 1 (* -1 x)) B) |
(/ (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/6 (* 1/3 x))))) B) |
(/ (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x))))))))) B) |
(/ (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x)))))))))))))) B) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(/ 1 (sin B)) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(/ 1 B) |
(/ (+ 1 (* -1/3 (pow B 2))) B) |
(/ (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))) B) |
(/ (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))) B) |
(/ (cos B) (sin B)) |
(/ (cos B) (sin B)) |
(/ (cos B) (sin B)) |
(/ (cos B) (sin B)) |
(/ (cos B) (sin B)) |
(/ (cos B) (sin B)) |
(/ (cos B) (sin B)) |
(/ (cos B) (sin B)) |
B |
(* B (+ 1 (* 1/3 (pow B 2)))) |
(* B (+ 1 (* (pow B 2) (+ 1/3 (* 2/15 (pow B 2)))))) |
(* B (+ 1 (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 2/15 (* 17/315 (pow B 2)))))))) |
(/ (sin B) (cos B)) |
(/ (sin B) (cos B)) |
(/ (sin B) (cos B)) |
(/ (sin B) (cos B)) |
(/ (sin B) (cos B)) |
(/ (sin B) (cos B)) |
(/ (sin B) (cos B)) |
(/ (sin B) (cos B)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ 1 (sin B)) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B))))) |
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B))))) |
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B))))) |
(/ (- 1 x) B) |
(/ (- (+ 1 (* (pow B 2) (- (+ 1/6 (* -1/6 x)) (* -1/2 x)))) x) B) |
(/ (- (+ 1 (* (pow B 2) (- (+ 1/6 (+ (* -1/6 x) (* (pow B 2) (- (+ 7/360 (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))) (* 1/24 x))))) (* -1/2 x)))) x) B) |
(/ (- (+ 1 (* (pow B 2) (- (+ 1/6 (+ (* -1/6 x) (* (pow B 2) (- (+ 7/360 (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (+ (* 1/120 x) (* (pow B 2) (- (+ 31/15120 (+ (* -1/6 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x)))) (+ (* -1/5040 x) (* 1/120 (- (* -1/2 x) (* -1/6 x)))))) (* -1/720 x)))))) (* 1/24 x))))) (* -1/2 x)))) x) B) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ x B) |
(/ (+ x (* (pow B 2) (- (* -1/2 x) (* -1/6 x)))) B) |
(/ (+ x (* (pow B 2) (- (+ (* -1/2 x) (* (pow B 2) (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))))) (* -1/6 x)))) B) |
(/ (+ x (* (pow B 2) (- (+ (* -1/2 x) (* (pow B 2) (- (+ (* 1/24 x) (* (pow B 2) (- (* -1/720 x) (+ (* -1/6 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x)))) (+ (* -1/5040 x) (* 1/120 (- (* -1/2 x) (* -1/6 x)))))))) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))))) (* -1/6 x)))) B) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ x B)) |
(/ (- (* (pow B 2) (- (* -1/6 x) (* -1/2 x))) x) B) |
(/ (- (* (pow B 2) (- (+ (* -1/6 x) (* (pow B 2) (- (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x)) (* 1/24 x)))) (* -1/2 x))) x) B) |
(/ (- (* (pow B 2) (- (+ (* -1/6 x) (* (pow B 2) (- (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (+ (* 1/120 x) (* (pow B 2) (- (+ (* -1/6 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x)))) (+ (* -1/5040 x) (* 1/120 (- (* -1/2 x) (* -1/6 x))))) (* -1/720 x))))) (* 1/24 x)))) (* -1/2 x))) x) B) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/ x (sin B)) |
(/ x (sin B)) |
(/ x (sin B)) |
(/ x (sin B)) |
(/ x (sin B)) |
(/ x (sin B)) |
(/ x (sin B)) |
(/ x (sin B)) |
(/ x (sin B)) |
(/ x (sin B)) |
(/ x (sin B)) |
(/ x (sin B)) |
(/ x B) |
(/ (+ x (* 1/6 (* (pow B 2) x))) B) |
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/36 x) (* 1/120 x)))) (* -1/6 x)))) B) |
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/5040 x) (+ (* 1/720 x) (* 1/6 (+ (* -1/36 x) (* 1/120 x))))))) (+ (* -1/36 x) (* 1/120 x)))) (* -1/6 x)))) B) |
(/ x (sin B)) |
(/ x (sin B)) |
(/ x (sin B)) |
(/ x (sin B)) |
(/ x (sin B)) |
(/ x (sin B)) |
(/ x (sin B)) |
(/ x (sin B)) |
1 |
(+ 1 (* 1/2 (pow B 2))) |
(+ 1 (* (pow B 2) (+ 1/2 (* 5/24 (pow B 2))))) |
(+ 1 (* (pow B 2) (+ 1/2 (* (pow B 2) (+ 5/24 (* 61/720 (pow B 2))))))) |
(/ 1 (cos B)) |
(/ 1 (cos B)) |
(/ 1 (cos B)) |
(/ 1 (cos B)) |
(/ 1 (cos B)) |
(/ 1 (cos B)) |
(/ 1 (cos B)) |
(/ 1 (cos B)) |
| Outputs |
|---|
(/ (- 1 x) B) |
(/.f64 (-.f64 #s(literal 1 binary64) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B) |
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B) |
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(/ 1 (sin B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(/ 1 B) |
(/.f64 #s(literal 1 binary64) B) |
(/ (+ 1 (* 1/6 (pow B 2))) B) |
(/.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) B) |
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B) |
(/.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B) |
(/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B) |
(/.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B) |
(/ 1 (sin B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(/ 1 (sin B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(/ 1 (sin B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(/ 1 (sin B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(/ 1 (sin B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(/ 1 (sin B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(/ 1 (sin B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(/ 1 (sin B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
B |
(* B (+ 1 (* -1/6 (pow B 2)))) |
(fma.f64 B (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) B) |
(* B (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6)))) |
(fma.f64 (*.f64 B B) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B) B) |
(* B (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/120 (* -1/5040 (pow B 2)))) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 B (*.f64 B B)) B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ x B) |
(/.f64 x B) |
(/ (+ x (* -1/3 (* (pow B 2) x))) B) |
(/.f64 (fma.f64 x (*.f64 (*.f64 B B) #s(literal -1/3 binary64)) x) B) |
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) |
(/.f64 (fma.f64 (*.f64 B B) (neg.f64 (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) x) B) |
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 x #s(literal 2/945 binary64)) (neg.f64 (*.f64 B B)) (*.f64 x #s(literal -1/45 binary64))) (*.f64 x #s(literal -1/3 binary64))) x) B) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ 1 (sin B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
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(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(/ (- 1 x) B) |
(/.f64 (-.f64 #s(literal 1 binary64) x) B) |
(/ (- (+ 1 (* (pow B 2) (- (+ 1/6 (* -1/6 x)) (* -1/2 x)))) x) B) |
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B) |
(/ (- (+ 1 (* (pow B 2) (- (+ 1/6 (+ (* -1/6 x) (* (pow B 2) (- (+ 7/360 (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))) (* 1/24 x))))) (* -1/2 x)))) x) B) |
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x) B) |
(/ (- (+ 1 (* (pow B 2) (- (+ 1/6 (+ (* -1/6 x) (* (pow B 2) (- (+ 7/360 (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (+ (* 1/120 x) (* (pow B 2) (- (+ 31/15120 (+ (* -1/6 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x)))) (+ (* -1/5040 x) (* 1/120 (- (* -1/2 x) (* -1/6 x)))))) (* -1/720 x)))))) (* 1/24 x))))) (* -1/2 x)))) x) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/720 binary64) (fma.f64 x #s(literal -1/336 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal -1/45 binary64)) #s(literal 31/15120 binary64)))) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ x B) |
(/.f64 x B) |
(/ (+ x (* (pow B 2) (- (* -1/2 x) (* -1/6 x)))) B) |
(/.f64 (fma.f64 x (*.f64 (*.f64 B B) #s(literal -1/3 binary64)) x) B) |
(/ (+ x (* (pow B 2) (- (+ (* -1/2 x) (* (pow B 2) (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))))) (* -1/6 x)))) B) |
(/.f64 (fma.f64 (*.f64 B B) (neg.f64 (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) x) B) |
(/ (+ x (* (pow B 2) (- (+ (* -1/2 x) (* (pow B 2) (- (+ (* 1/24 x) (* (pow B 2) (- (* -1/720 x) (+ (* -1/6 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x)))) (+ (* -1/5040 x) (* 1/120 (- (* -1/2 x) (* -1/6 x)))))))) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))))) (* -1/6 x)))) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal -1/3 binary64) (*.f64 (*.f64 B B) (fma.f64 x #s(literal -1/45 binary64) (*.f64 (*.f64 B B) (-.f64 (*.f64 x #s(literal -1/720 binary64)) (fma.f64 x #s(literal -1/336 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal -1/45 binary64))))))))) x) B) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ x B)) |
(/.f64 x (neg.f64 B)) |
(/ (- (* (pow B 2) (- (* -1/6 x) (* -1/2 x))) x) B) |
(/.f64 (*.f64 x (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal -1 binary64))) B) |
(/ (- (* (pow B 2) (- (+ (* -1/6 x) (* (pow B 2) (- (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x)) (* 1/24 x)))) (* -1/2 x))) x) B) |
(/.f64 (fma.f64 (*.f64 B B) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (neg.f64 x)) B) |
(/ (- (* (pow B 2) (- (+ (* -1/6 x) (* (pow B 2) (- (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (+ (* 1/120 x) (* (pow B 2) (- (+ (* -1/6 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x)))) (+ (* -1/5040 x) (* 1/120 (- (* -1/2 x) (* -1/6 x))))) (* -1/720 x))))) (* 1/24 x)))) (* -1/2 x))) x) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal -1/45 binary64)) (fma.f64 x #s(literal -1/5040 binary64) (*.f64 x #s(literal -1/720 binary64))))) (*.f64 x #s(literal 1/45 binary64))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) B) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(/ x (sin B)) |
(/.f64 x (sin.f64 B)) |
(/ x (sin B)) |
(/.f64 x (sin.f64 B)) |
(/ x (sin B)) |
(/.f64 x (sin.f64 B)) |
(/ x (sin B)) |
(/.f64 x (sin.f64 B)) |
(/ x (sin B)) |
(/.f64 x (sin.f64 B)) |
(/ x (sin B)) |
(/.f64 x (sin.f64 B)) |
(/ x (sin B)) |
(/.f64 x (sin.f64 B)) |
(/ x (sin B)) |
(/.f64 x (sin.f64 B)) |
(/ x (sin B)) |
(/.f64 x (sin.f64 B)) |
(/ x (sin B)) |
(/.f64 x (sin.f64 B)) |
(/ x (sin B)) |
(/.f64 x (sin.f64 B)) |
(/ x (sin B)) |
(/.f64 x (sin.f64 B)) |
(/ x B) |
(/.f64 x B) |
(/ (+ x (* 1/6 (* (pow B 2) x))) B) |
(/.f64 (fma.f64 x (*.f64 (*.f64 B B) #s(literal 1/6 binary64)) x) B) |
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/36 x) (* 1/120 x)))) (* -1/6 x)))) B) |
(/.f64 (fma.f64 B (*.f64 B (neg.f64 (*.f64 x (fma.f64 #s(literal -7/360 binary64) (*.f64 B B) #s(literal -1/6 binary64))))) x) B) |
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/5040 x) (+ (* 1/720 x) (* 1/6 (+ (* -1/36 x) (* 1/120 x))))))) (+ (* -1/36 x) (* 1/120 x)))) (* -1/6 x)))) B) |
(/.f64 (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/6 binary64) (neg.f64 (*.f64 (fma.f64 B (*.f64 B (*.f64 x #s(literal -31/15120 binary64))) (*.f64 x #s(literal -7/360 binary64))) (*.f64 B B))))) x) B) |
(/ x (sin B)) |
(/.f64 x (sin.f64 B)) |
(/ x (sin B)) |
(/.f64 x (sin.f64 B)) |
(/ x (sin B)) |
(/.f64 x (sin.f64 B)) |
(/ x (sin B)) |
(/.f64 x (sin.f64 B)) |
(/ x (sin B)) |
(/.f64 x (sin.f64 B)) |
(/ x (sin B)) |
(/.f64 x (sin.f64 B)) |
(/ x (sin B)) |
(/.f64 x (sin.f64 B)) |
(/ x (sin B)) |
(/.f64 x (sin.f64 B)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow B 2))) |
(fma.f64 (*.f64 B B) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow B 2) (+ 1/2 (* 5/24 (pow B 2))))) |
(fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B #s(literal 5/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow B 2) (+ 1/2 (* (pow B 2) (+ 5/24 (* 61/720 (pow B 2))))))) |
(fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) #s(literal 61/720 binary64) #s(literal 5/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(/ 1 (cos B)) |
(/.f64 #s(literal 1 binary64) (cos.f64 B)) |
(/ 1 (cos B)) |
(/.f64 #s(literal 1 binary64) (cos.f64 B)) |
(/ 1 (cos B)) |
(/.f64 #s(literal 1 binary64) (cos.f64 B)) |
(/ 1 (cos B)) |
(/.f64 #s(literal 1 binary64) (cos.f64 B)) |
(/ 1 (cos B)) |
(/.f64 #s(literal 1 binary64) (cos.f64 B)) |
(/ 1 (cos B)) |
(/.f64 #s(literal 1 binary64) (cos.f64 B)) |
(/ 1 (cos B)) |
(/.f64 #s(literal 1 binary64) (cos.f64 B)) |
(/ 1 (cos B)) |
(/.f64 #s(literal 1 binary64) (cos.f64 B)) |
| 6 896× | lower-fma.f32 |
| 6 894× | lower-fma.f64 |
| 3 518× | lower-*.f64 |
| 3 518× | lower-*.f32 |
| 2 684× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 123 |
| 0 | 45 | 98 |
| 1 | 181 | 98 |
| 2 | 1524 | 98 |
| 0 | 9032 | 98 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(sin.f64 B) |
(/.f64 x (tan.f64 B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) B) |
(-.f64 #s(literal 1 binary64) x) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
(tan.f64 B) |
(neg.f64 x) |
(+.f64 (neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B))) |
(neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) |
(/.f64 x (sin.f64 B)) |
(/.f64 #s(literal 1 binary64) (cos.f64 B)) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(+.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(+.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(+.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))) |
(+.f64 (/.f64 (tan.f64 B) (*.f64 (sin.f64 B) (tan.f64 B))) (neg.f64 (/.f64 (*.f64 (sin.f64 B) x) (*.f64 (sin.f64 B) (tan.f64 B))))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) (fma.f64 (/.f64 x (tan.f64 B)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))))) (neg.f64 (/.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)) (fma.f64 (/.f64 x (tan.f64 B)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))))))) |
(+.f64 (/.f64 (*.f64 x (*.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))))) |
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))) (/.f64 (*.f64 x (*.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)))) |
(+.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(-.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))) |
(-.f64 (/.f64 (tan.f64 B) (*.f64 (sin.f64 B) (tan.f64 B))) (/.f64 (*.f64 (sin.f64 B) x) (*.f64 (sin.f64 B) (tan.f64 B)))) |
(-.f64 (/.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) (fma.f64 (/.f64 x (tan.f64 B)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))))) (/.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)) (fma.f64 (/.f64 x (tan.f64 B)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))))))) |
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(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 B) #s(literal -1/2 binary64))) (/.f64 (neg.f64 (/.f64 x (sin.f64 B))) (pow.f64 (cos.f64 B) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (/.f64 (tan.f64 B) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (tan.f64 B) x) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 x (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (cos.f64 B) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(*.f64 (*.f64 (neg.f64 x) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) |
(+.f64 #s(literal 0 binary64) (/.f64 x (sin.f64 B))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 B) x)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 x (sin.f64 B)))) |
(neg.f64 (neg.f64 (/.f64 x (sin.f64 B)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) x)) |
(/.f64 x (sin.f64 B)) |
(/.f64 (neg.f64 x) (neg.f64 (sin.f64 B))) |
(/.f64 (/.f64 x (sin.f64 B)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 B) x))) |
(/.f64 (neg.f64 (/.f64 x (sin.f64 B))) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (/.f64 x (sin.f64 B)) #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 x (sin.f64 B))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (*.f64 x x))) (neg.f64 (/.f64 x (sin.f64 B)))) |
(pow.f64 (/.f64 (sin.f64 B) x) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 B))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(*.f64 (/.f64 x (sin.f64 B)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (sin.f64 B)))) |
(*.f64 (neg.f64 (/.f64 x (sin.f64 B))) #s(literal -1 binary64)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(*.f64 (pow.f64 (/.f64 (sin.f64 B) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sin.f64 B) x) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 x (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 B)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 B))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (cos.f64 B))) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 B)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (cos.f64 B)) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 B))) |
(/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 B)) #s(literal -1 binary64)) |
(pow.f64 (cos.f64 B) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (cos.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (cos.f64 B) (cos.f64 B)) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (cos.f64 B))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 B))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 B))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 B)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (cos.f64 B) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 B) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 B) #s(literal -1/2 binary64))) (pow.f64 (cos.f64 B) #s(literal -1/2 binary64))) |
Compiled 34 483 to 2 280 computations (93.4% saved)
36 alts after pruning (33 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 978 | 33 | 2 011 |
| Fresh | 12 | 0 | 12 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 992 | 36 | 2 028 |
| Status | Accuracy | Program |
|---|---|---|
| 76.5% | (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) | |
| 99.7% | (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) | |
| 51.1% | (/.f64 (fma.f64 (/.f64 x (sin.f64 B)) (sin.f64 B) (/.f64 #s(literal 1 binary64) (cos.f64 B))) (tan.f64 B)) | |
| 39.5% | (/.f64 (fma.f64 (sin.f64 B) x (tan.f64 B)) (*.f64 (sin.f64 B) (tan.f64 B))) | |
| 99.7% | (/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 (sin.f64 B) x)) (sin.f64 B)) (tan.f64 B)) | |
| ▶ | 99.8% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
| ✓ | 99.8% | (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
| 76.5% | (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B))) | |
| 76.5% | (+.f64 (neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) | |
| 52.8% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) | |
| 52.7% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x) B)) | |
| ▶ | 52.7% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B)) |
| 49.2% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))) | |
| ▶ | 22.1% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) #s(literal -1/2 binary64))) |
| 48.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) B)) | |
| 39.4% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (fma.f64 (neg.f64 x) (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) B)) | |
| 48.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B)) | |
| 52.4% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) B)) | |
| 32.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)))) | |
| 38.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 B (*.f64 B x)) (*.f64 B B))) | |
| 48.3% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 B x B))) | |
| ✓ | 52.4% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
| 21.8% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) (*.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 #s(literal 1 binary64) x)))) | |
| 25.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B)) | |
| ▶ | 29.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) |
| 38.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 B B) (-.f64 B (*.f64 B x))))) | |
| 52.4% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x)))) | |
| ✓ | 52.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 29.8% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) #s(approx (sin B) (fma.f64 (*.f64 B B) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B) B)))) | |
| 29.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) #s(approx (sin B) (fma.f64 B (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) B)))) | |
| 21.3% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) B) B) (*.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (/.f64 x B) (/.f64 x B)) (*.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 #s(literal 1 binary64) x))))) | |
| 46.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) B) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) | |
| 52.4% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x))) | |
| ▶ | 29.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B))) |
| 29.8% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B))) | |
| 29.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) B))) |
Compiled 1 058 to 608 computations (42.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))) | |
| cost-diff | 0 | (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) #s(literal -1/2 binary64))) | |
| cost-diff | 128 | (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) | |
| cost-diff | 0 | (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B) | |
| cost-diff | 0 | #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B)) | |
| cost-diff | 0 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B))) | |
| cost-diff | 0 | (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B)) | |
| cost-diff | 320 | (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B) | |
| cost-diff | 0 | #s(approx (- 1 x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B) | |
| cost-diff | 0 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) | |
| cost-diff | 0 | (cos.f64 B) | |
| cost-diff | 0 | (*.f64 x (cos.f64 B)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
| 9 870× | lower-fma.f32 |
| 9 860× | lower-fma.f64 |
| 2 750× | lower-*.f32 |
| 2 740× | lower-*.f64 |
| 1 748× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 317 |
| 0 | 73 | 317 |
| 1 | 144 | 308 |
| 2 | 328 | 308 |
| 3 | 657 | 308 |
| 4 | 1117 | 308 |
| 5 | 1796 | 308 |
| 6 | 2802 | 306 |
| 7 | 4850 | 306 |
| 8 | 6693 | 306 |
| 0 | 8303 | 301 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) |
#s(literal 1 binary64) |
(*.f64 x (cos.f64 B)) |
x |
(cos.f64 B) |
B |
(sin.f64 B) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) |
(/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
B |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B)) |
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B) |
(-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 B B) |
B |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
x |
#s(literal 1/3 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B))) |
#s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B)) |
(/.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B) |
(fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
B |
(*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) |
(*.f64 B B) |
(fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) |
#s(literal 31/15120 binary64) |
#s(literal 7/360 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) #s(literal -1/2 binary64))) |
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) #s(literal -1/2 binary64)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))) |
(cos.f64 (*.f64 #s(literal 2 binary64) B)) |
(*.f64 #s(literal 2 binary64) B) |
#s(literal 2 binary64) |
B |
#s(literal -1/2 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) |
#s(literal 1 binary64) |
(*.f64 x (cos.f64 B)) |
x |
(cos.f64 B) |
B |
(sin.f64 B) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) |
(/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
B |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (fma.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) B))) |
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B) |
(fma.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
(-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) |
(-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/6 binary64)) x)) |
(fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 B B) |
B |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
x |
#s(literal 1/3 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B))) |
#s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B)) |
#s(approx (/ 1 (sin B)) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B)) |
(/.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B) |
(fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
B |
(*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) |
(*.f64 B B) |
(fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) |
#s(literal 31/15120 binary64) |
#s(literal 7/360 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) #s(literal -1/2 binary64))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (pow.f64 (fma.f64 (cos.f64 (*.f64 B #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) |
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) #s(literal -1/2 binary64)) |
(pow.f64 (fma.f64 (cos.f64 (*.f64 B #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) |
(fma.f64 (cos.f64 (*.f64 B #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 B #s(literal 2 binary64)))) |
(cos.f64 (*.f64 #s(literal 2 binary64) B)) |
(cos.f64 (*.f64 B #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) B) |
(*.f64 B #s(literal 2 binary64)) |
#s(literal 2 binary64) |
B |
#s(literal -1/2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (cos.f64 (*.f64 #s(literal 2 binary64) B)) | |
| accuracy | 13.688044962474313 | (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) #s(literal -1/2 binary64)) | |
| accuracy | 16.635935436124853 | (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) | |
| accuracy | 37.19771404736418 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) #s(literal -1/2 binary64))) | |
| accuracy | 0.3968500582784625 | (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) | |
| accuracy | 0.9262542073201736 | (/.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B) | |
| accuracy | 30.32466913132014 | #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B)) | |
| accuracy | 30.3435815820353 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B))) | |
| accuracy | 0.08984375 | (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) | |
| accuracy | 0.171875 | (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) | |
| accuracy | 10.515196033693078 | (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B) | |
| accuracy | 30.239476029786367 | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B)) | |
| accuracy | 0.00390625 | (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B) | |
| accuracy | 30.3541313437986 | #s(approx (- 1 x) #s(literal 1 binary64)) | |
| accuracy | 30.43494298495191 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) | |
| accuracy | 0 | (sin.f64 B) | |
| accuracy | 0 | (cos.f64 B) | |
| accuracy | 0.10546875 | (*.f64 x (cos.f64 B)) | |
| accuracy | 0.12890625 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
| 87.0ms | 67× | 2 | valid |
| 58.0ms | 129× | 0 | valid |
| 29.0ms | 43× | 1 | valid |
| 20.0ms | 17× | 3 | valid |
Compiled 257 to 47 computations (81.7% saved)
ival-mult: 42.0ms (26.3% of total)ival-cos: 26.0ms (16.3% of total)adjust: 19.0ms (11.9% of total)ival-div: 15.0ms (9.4% of total)const: 15.0ms (9.4% of total)ival-add: 10.0ms (6.3% of total)ival-sub: 9.0ms (5.6% of total)ival-pow: 9.0ms (5.6% of total)ival-sin: 6.0ms (3.8% of total)ival-tan: 5.0ms (3.1% of total)exact: 1.0ms (0.6% of total)ival-neg: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (patch (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (cos.f64 B)) (patch (*.f64 x (cos.f64 B)) #<representation binary64>) () ()) |
#s(alt (cos.f64 B) (patch (cos.f64 B) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) (patch #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B) (patch (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B) (patch (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B)) (patch #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B)) #<representation binary64>) () ()) |
#s(alt (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) (patch (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B))) (patch #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B)) (patch #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B) (patch (/.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B) #<representation binary64>) () ()) |
#s(alt (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (patch (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) (patch (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) #s(literal -1/2 binary64))) (patch #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) #s(literal -1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) #s(literal -1/2 binary64)) (patch (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))) (patch (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))) #<representation binary64>) () ()) |
#s(alt (sin.f64 B) (patch (sin.f64 B) #<representation binary64>) () ()) |
#s(alt (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (patch (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #<representation binary64>) () ()) |
#s(alt (cos.f64 (*.f64 #s(literal 2 binary64) B)) (patch (cos.f64 (*.f64 #s(literal 2 binary64) B)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ 1 (sin B)) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B))))) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B))))) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B))))) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 x) B) (taylor 0 B) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ()) |
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#s(alt (+ 1/6 (* 1/3 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/6 (* 1/3 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/6 (* 1/3 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 x) (taylor inf x) (#s(alt (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/3 (* 1/6 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/3 (* 1/6 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/3 (* 1/6 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/3 (* 1/6 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/3 (* 1/6 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/3 (* 1/6 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 7/360 (taylor 0 B) (#s(alt (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (patch (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 7/360 (* 31/15120 (pow B 2))) (taylor 0 B) (#s(alt (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (patch (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 7/360 (* 31/15120 (pow B 2))) (taylor 0 B) (#s(alt (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (patch (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 7/360 (* 31/15120 (pow B 2))) (taylor 0 B) (#s(alt (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (patch (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 31/15120 (pow B 2)) (taylor inf B) (#s(alt (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (patch (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow B 2) (+ 31/15120 (* 7/360 (/ 1 (pow B 2))))) (taylor inf B) (#s(alt (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (patch (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow B 2) (+ 31/15120 (* 7/360 (/ 1 (pow B 2))))) (taylor inf B) (#s(alt (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (patch (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow B 2) (+ 31/15120 (* 7/360 (/ 1 (pow B 2))))) (taylor inf B) (#s(alt (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (patch (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 31/15120 (pow B 2)) (taylor -inf B) (#s(alt (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (patch (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow B 2) (+ 31/15120 (* 7/360 (/ 1 (pow B 2))))) (taylor -inf B) (#s(alt (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (patch (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow B 2) (+ 31/15120 (* 7/360 (/ 1 (pow B 2))))) (taylor -inf B) (#s(alt (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (patch (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow B 2) (+ 31/15120 (* 7/360 (/ 1 (pow B 2))))) (taylor -inf B) (#s(alt (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (patch (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 B) (#s(alt (cos.f64 (*.f64 #s(literal 2 binary64) B)) (patch (cos.f64 (*.f64 #s(literal 2 binary64) B)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -2 (pow B 2))) (taylor 0 B) (#s(alt (cos.f64 (*.f64 #s(literal 2 binary64) B)) (patch (cos.f64 (*.f64 #s(literal 2 binary64) B)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow B 2) (- (* 2/3 (pow B 2)) 2))) (taylor 0 B) (#s(alt (cos.f64 (*.f64 #s(literal 2 binary64) B)) (patch (cos.f64 (*.f64 #s(literal 2 binary64) B)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 2/3 (* -4/45 (pow B 2)))) 2))) (taylor 0 B) (#s(alt (cos.f64 (*.f64 #s(literal 2 binary64) B)) (patch (cos.f64 (*.f64 #s(literal 2 binary64) B)) #<representation binary64>) () ())) ()) |
#s(alt (cos (* 2 B)) (taylor inf B) (#s(alt (cos.f64 (*.f64 #s(literal 2 binary64) B)) (patch (cos.f64 (*.f64 #s(literal 2 binary64) B)) #<representation binary64>) () ())) ()) |
#s(alt (cos (* 2 B)) (taylor inf B) (#s(alt (cos.f64 (*.f64 #s(literal 2 binary64) B)) (patch (cos.f64 (*.f64 #s(literal 2 binary64) B)) #<representation binary64>) () ())) ()) |
#s(alt (cos (* 2 B)) (taylor inf B) (#s(alt (cos.f64 (*.f64 #s(literal 2 binary64) B)) (patch (cos.f64 (*.f64 #s(literal 2 binary64) B)) #<representation binary64>) () ())) ()) |
#s(alt (cos (* 2 B)) (taylor inf B) (#s(alt (cos.f64 (*.f64 #s(literal 2 binary64) B)) (patch (cos.f64 (*.f64 #s(literal 2 binary64) B)) #<representation binary64>) () ())) ()) |
#s(alt (cos (* 2 B)) (taylor -inf B) (#s(alt (cos.f64 (*.f64 #s(literal 2 binary64) B)) (patch (cos.f64 (*.f64 #s(literal 2 binary64) B)) #<representation binary64>) () ())) ()) |
#s(alt (cos (* 2 B)) (taylor -inf B) (#s(alt (cos.f64 (*.f64 #s(literal 2 binary64) B)) (patch (cos.f64 (*.f64 #s(literal 2 binary64) B)) #<representation binary64>) () ())) ()) |
#s(alt (cos (* 2 B)) (taylor -inf B) (#s(alt (cos.f64 (*.f64 #s(literal 2 binary64) B)) (patch (cos.f64 (*.f64 #s(literal 2 binary64) B)) #<representation binary64>) () ())) ()) |
#s(alt (cos (* 2 B)) (taylor -inf B) (#s(alt (cos.f64 (*.f64 #s(literal 2 binary64) B)) (patch (cos.f64 (*.f64 #s(literal 2 binary64) B)) #<representation binary64>) () ())) ()) |
102 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | B | @ | 0 | (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) |
| 1.0ms | B | @ | inf | (pow (- 1/2 (* 1/2 (cos (* 2 B)))) -1/2) |
| 1.0ms | B | @ | inf | (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) |
| 1.0ms | B | @ | -inf | (pow (- 1/2 (* 1/2 (cos (* 2 B)))) -1/2) |
| 1.0ms | x | @ | 0 | (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) |
| 1× | egg-herbie |
| 15 586× | lower-fma.f64 |
| 15 586× | lower-fma.f32 |
| 6 862× | lower-+.f64 |
| 6 862× | lower-+.f32 |
| 4 692× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 366 | 3927 |
| 1 | 1078 | 3844 |
| 2 | 3089 | 3754 |
| 0 | 8193 | 3486 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (sin B)) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B))))) |
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B))))) |
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B))))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(/ (- 1 x) B) |
(/ (- (+ 1 (* (pow B 2) (- (* 1/2 x) (* -1/6 (- 1 x))))) x) B) |
(/ (- (+ 1 (* (pow B 2) (- (+ (* 1/2 x) (* (pow B 2) (- (* -1/24 x) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x)))))) (* -1/6 (- 1 x))))) x) B) |
(/ (- (+ 1 (* (pow B 2) (- (+ (* 1/2 x) (* (pow B 2) (- (+ (* -1/24 x) (* (pow B 2) (- (* 1/720 x) (+ (* -1/6 (- (* -1/24 x) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x))))) (+ (* -1/5040 (- 1 x)) (* 1/120 (- (* 1/2 x) (* -1/6 (- 1 x))))))))) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x)))))) (* -1/6 (- 1 x))))) x) B) |
(/ (- 1 (* x (cos B))) (sin B)) |
(/ (- 1 (* x (cos B))) (sin B)) |
(/ (- 1 (* x (cos B))) (sin B)) |
(/ (- 1 (* x (cos B))) (sin B)) |
(/ (- 1 (* x (cos B))) (sin B)) |
(/ (- 1 (* x (cos B))) (sin B)) |
(/ (- 1 (* x (cos B))) (sin B)) |
(/ (- 1 (* x (cos B))) (sin B)) |
1 |
(+ 1 (* -1 (* x (cos B)))) |
(+ 1 (* -1 (* x (cos B)))) |
(+ 1 (* -1 (* x (cos B)))) |
(* -1 (* x (cos B))) |
(* x (- (/ 1 x) (cos B))) |
(* x (- (/ 1 x) (cos B))) |
(* x (- (/ 1 x) (cos B))) |
(* -1 (* x (cos B))) |
(* x (+ (* -1 (cos B)) (/ 1 x))) |
(* x (+ (* -1 (cos B)) (/ 1 x))) |
(* x (+ (* -1 (cos B)) (/ 1 x))) |
(- 1 x) |
(- (+ 1 (* 1/2 (* (pow B 2) x))) x) |
(- (+ 1 (* (pow B 2) (- (* -1/24 (* (pow B 2) x)) (* -1/2 x)))) x) |
(- (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* 1/720 (* (pow B 2) x)) (* 1/24 x))) (* -1/2 x)))) x) |
(- 1 (* x (cos B))) |
(- 1 (* x (cos B))) |
(- 1 (* x (cos B))) |
(- 1 (* x (cos B))) |
(- 1 (* x (cos B))) |
(- 1 (* x (cos B))) |
(- 1 (* x (cos B))) |
(- 1 (* x (cos B))) |
(* x (cos B)) |
(* x (cos B)) |
(* x (cos B)) |
(* x (cos B)) |
(* x (cos B)) |
(* x (cos B)) |
(* x (cos B)) |
(* x (cos B)) |
(* x (cos B)) |
(* x (cos B)) |
(* x (cos B)) |
(* x (cos B)) |
x |
(+ x (* -1/2 (* (pow B 2) x))) |
(+ x (* (pow B 2) (+ (* -1/2 x) (* 1/24 (* (pow B 2) x))))) |
(+ x (* (pow B 2) (+ (* -1/2 x) (* (pow B 2) (+ (* -1/720 (* (pow B 2) x)) (* 1/24 x)))))) |
(* x (cos B)) |
(* x (cos B)) |
(* x (cos B)) |
(* x (cos B)) |
(* x (cos B)) |
(* x (cos B)) |
(* x (cos B)) |
(* x (cos B)) |
1 |
(+ 1 (* -1/2 (pow B 2))) |
(+ 1 (* (pow B 2) (- (* 1/24 (pow B 2)) 1/2))) |
(+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/24 (* -1/720 (pow B 2)))) 1/2))) |
(cos B) |
(cos B) |
(cos B) |
(cos B) |
(cos B) |
(cos B) |
(cos B) |
(cos B) |
(/ 1 (sin B)) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(/ (- 1 x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(/ 1 B) |
(+ (* -1 (/ x B)) (/ 1 B)) |
(+ (* -1 (/ x B)) (/ 1 B)) |
(+ (* -1 (/ x B)) (/ 1 B)) |
(* -1 (/ x B)) |
(* x (- (/ 1 (* B x)) (/ 1 B))) |
(* x (- (/ 1 (* B x)) (/ 1 B))) |
(* x (- (/ 1 (* B x)) (/ 1 B))) |
(* -1 (/ x B)) |
(* -1 (* x (- (/ 1 B) (/ 1 (* B x))))) |
(* -1 (* x (- (/ 1 B) (/ 1 (* B x))))) |
(* -1 (* x (- (/ 1 B) (/ 1 (* B x))))) |
(/ (- 1 x) B) |
(/ (- 1 x) B) |
(/ (- 1 x) B) |
(/ (- 1 x) B) |
(/ (- 1 x) B) |
(/ (- 1 x) B) |
(/ (- 1 x) B) |
(/ (- 1 x) B) |
(/ (- 1 x) B) |
(/ (- 1 x) B) |
(/ (- 1 x) B) |
(/ (- 1 x) B) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(/ (- 1 x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B) |
(* B (+ 1/6 (* 1/3 x))) |
(* B (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2)))) |
(* B (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2)))) |
(* B (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2)))) |
(* B (+ 1/6 (* 1/3 x))) |
(* -1 (* B (+ (* -1 (+ 1/6 (* 1/3 x))) (* -1 (/ (- 1 x) (pow B 2)))))) |
(* -1 (* B (+ (* -1 (+ 1/6 (* 1/3 x))) (* -1 (/ (- 1 x) (pow B 2)))))) |
(* -1 (* B (+ (* -1 (+ 1/6 (* 1/3 x))) (* -1 (/ (- 1 x) (pow B 2)))))) |
(/ (+ 1 (* 1/6 (pow B 2))) B) |
(+ (* 1/6 B) (+ (* x (- (* 1/3 B) (/ 1 B))) (/ 1 B))) |
(+ (* 1/6 B) (+ (* x (- (* 1/3 B) (/ 1 B))) (/ 1 B))) |
(+ (* 1/6 B) (+ (* x (- (* 1/3 B) (/ 1 B))) (/ 1 B))) |
(/ (* x (- (* 1/3 (pow B 2)) 1)) B) |
(* x (- (+ (* 1/6 (/ B x)) (+ (* 1/3 B) (/ 1 (* B x)))) (/ 1 B))) |
(* x (- (+ (* 1/6 (/ B x)) (+ (* 1/3 B) (/ 1 (* B x)))) (/ 1 B))) |
(* x (- (+ (* 1/6 (/ B x)) (+ (* 1/3 B) (/ 1 (* B x)))) (/ 1 B))) |
(* -1 (/ (* x (+ 1 (* -1/3 (pow B 2)))) B)) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/6 B) (/ 1 B)) x)) (+ (* -1/3 B) (/ 1 B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/6 B) (/ 1 B)) x)) (+ (* -1/3 B) (/ 1 B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/6 B) (/ 1 B)) x)) (+ (* -1/3 B) (/ 1 B))))) |
(/ (- 1 x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(/ 1 (sin B)) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(- 1 x) |
(- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) |
(- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) |
(- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) |
(* (pow B 2) (+ 1/6 (* 1/3 x))) |
(* (pow B 2) (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2)))) |
(* (pow B 2) (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2)))) |
(* (pow B 2) (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2)))) |
(* (pow B 2) (+ 1/6 (* 1/3 x))) |
(* (pow B 2) (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2)))) |
(* (pow B 2) (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2)))) |
(* (pow B 2) (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2)))) |
(+ 1 (* 1/6 (pow B 2))) |
(+ 1 (+ (* 1/6 (pow B 2)) (* x (- (* 1/3 (pow B 2)) 1)))) |
(+ 1 (+ (* 1/6 (pow B 2)) (* x (- (* 1/3 (pow B 2)) 1)))) |
(+ 1 (+ (* 1/6 (pow B 2)) (* x (- (* 1/3 (pow B 2)) 1)))) |
(* x (- (* 1/3 (pow B 2)) 1)) |
(* x (- (+ (* 1/6 (/ (pow B 2) x)) (+ (* 1/3 (pow B 2)) (/ 1 x))) 1)) |
(* x (- (+ (* 1/6 (/ (pow B 2) x)) (+ (* 1/3 (pow B 2)) (/ 1 x))) 1)) |
(* x (- (+ (* 1/6 (/ (pow B 2) x)) (+ (* 1/3 (pow B 2)) (/ 1 x))) 1)) |
(* -1 (* x (+ 1 (* -1/3 (pow B 2))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* 1/6 (pow B 2))) x)) (* -1/3 (pow B 2)))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* 1/6 (pow B 2))) x)) (* -1/3 (pow B 2)))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* 1/6 (pow B 2))) x)) (* -1/3 (pow B 2)))))) |
1 |
(+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) |
(+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) |
(+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) |
(* (pow B 2) (+ 1/6 (* 1/3 x))) |
(* (pow B 2) (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2))))) |
(* (pow B 2) (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2))))) |
(* (pow B 2) (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2))))) |
(* (pow B 2) (+ 1/6 (* 1/3 x))) |
(* (pow B 2) (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2))))) |
(* (pow B 2) (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2))))) |
(* (pow B 2) (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2))))) |
(+ 1 (* 1/6 (pow B 2))) |
(+ 1 (+ (* 1/6 (pow B 2)) (* 1/3 (* (pow B 2) x)))) |
(+ 1 (+ (* 1/6 (pow B 2)) (* 1/3 (* (pow B 2) x)))) |
(+ 1 (+ (* 1/6 (pow B 2)) (* 1/3 (* (pow B 2) x)))) |
(* 1/3 (* (pow B 2) x)) |
(* x (+ (* 1/6 (/ (pow B 2) x)) (+ (* 1/3 (pow B 2)) (/ 1 x)))) |
(* x (+ (* 1/6 (/ (pow B 2) x)) (+ (* 1/3 (pow B 2)) (/ 1 x)))) |
(* x (+ (* 1/6 (/ (pow B 2) x)) (+ (* 1/3 (pow B 2)) (/ 1 x)))) |
(* 1/3 (* (pow B 2) x)) |
(* -1 (* x (+ (* -1 (/ (+ 1 (* 1/6 (pow B 2))) x)) (* -1/3 (pow B 2))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (* 1/6 (pow B 2))) x)) (* -1/3 (pow B 2))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (* 1/6 (pow B 2))) x)) (* -1/3 (pow B 2))))) |
(/ 1 (sin B)) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(/ (- 1 x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(/ 1 B) |
(/ (+ 1 (* 1/6 (pow B 2))) B) |
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B) |
(/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B) |
(/ 1 (sin B)) |
(/ 1 (sin B)) |
(/ 1 (sin B)) |
(/ 1 (sin B)) |
(/ 1 (sin B)) |
(/ 1 (sin B)) |
(/ 1 (sin B)) |
(/ 1 (sin B)) |
(/ 1 B) |
(/ (+ 1 (* 1/6 (pow B 2))) B) |
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B) |
(/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B) |
(* 31/15120 (pow B 5)) |
(* (pow B 5) (+ 31/15120 (* 7/360 (/ 1 (pow B 2))))) |
(* (pow B 5) (+ 31/15120 (+ (/ 1/6 (pow B 4)) (* 7/360 (/ 1 (pow B 2)))))) |
(* (pow B 5) (+ 31/15120 (+ (/ 1/6 (pow B 4)) (+ (* 7/360 (/ 1 (pow B 2))) (/ 1 (pow B 6)))))) |
(* 31/15120 (pow B 5)) |
(* (pow B 5) (+ 31/15120 (* 7/360 (/ 1 (pow B 2))))) |
(* -1 (* (pow B 5) (- (* -1 (/ (+ 7/360 (* 1/6 (/ 1 (pow B 2)))) (pow B 2))) 31/15120))) |
(* -1 (* (pow B 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow B 2))) (pow B 4))) (+ 31/15120 (* 7/360 (/ 1 (pow B 2))))))) |
1 |
(+ 1 (* 1/6 (pow B 2))) |
(+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) |
(+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) |
(* 31/15120 (pow B 6)) |
(* (pow B 6) (+ 31/15120 (* 7/360 (/ 1 (pow B 2))))) |
(* (pow B 6) (+ 31/15120 (+ (/ 1/6 (pow B 4)) (* 7/360 (/ 1 (pow B 2)))))) |
(* (pow B 6) (+ 31/15120 (+ (/ 1/6 (pow B 4)) (+ (* 7/360 (/ 1 (pow B 2))) (/ 1 (pow B 6)))))) |
(* 31/15120 (pow B 6)) |
(* (pow B 6) (+ 31/15120 (* 7/360 (/ 1 (pow B 2))))) |
(* (pow B 6) (+ 31/15120 (+ (/ 1/6 (pow B 4)) (* 7/360 (/ 1 (pow B 2)))))) |
(* (pow B 6) (+ 31/15120 (+ (/ 1/6 (pow B 4)) (+ (* 7/360 (/ 1 (pow B 2))) (/ 1 (pow B 6)))))) |
(pow B 2) |
(* (pow B 2) (+ 1 (* -1/3 (pow B 2)))) |
(* (pow B 2) (+ 1 (* (pow B 2) (- (* 2/45 (pow B 2)) 1/3)))) |
(* (pow B 2) (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 2/45 (* -1/315 (pow B 2)))) 1/3)))) |
(- 1/2 (* 1/2 (cos (* 2 B)))) |
(- 1/2 (* 1/2 (cos (* 2 B)))) |
(- 1/2 (* 1/2 (cos (* 2 B)))) |
(- 1/2 (* 1/2 (cos (* 2 B)))) |
(- 1/2 (* 1/2 (cos (* 2 B)))) |
(- 1/2 (* 1/2 (cos (* 2 B)))) |
(- 1/2 (* 1/2 (cos (* 2 B)))) |
(- 1/2 (* 1/2 (cos (* 2 B)))) |
(/ 1 (sin B)) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(/ (- 1 x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(/ 1 B) |
(/ (+ 1 (* 1/6 (pow B 2))) B) |
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B) |
(/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B) |
(sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) |
(sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) |
(sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) |
(sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) |
(sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) |
(sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) |
(sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) |
(sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) |
1/2 |
(+ 1/2 (* -1 (pow B 2))) |
(+ 1/2 (* (pow B 2) (- (* 1/3 (pow B 2)) 1))) |
(+ 1/2 (* (pow B 2) (- (* (pow B 2) (+ 1/3 (* -2/45 (pow B 2)))) 1))) |
(* 1/2 (cos (* 2 B))) |
(* 1/2 (cos (* 2 B))) |
(* 1/2 (cos (* 2 B))) |
(* 1/2 (cos (* 2 B))) |
(* 1/2 (cos (* 2 B))) |
(* 1/2 (cos (* 2 B))) |
(* 1/2 (cos (* 2 B))) |
(* 1/2 (cos (* 2 B))) |
B |
(* B (+ 1 (* -1/6 (pow B 2)))) |
(* B (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6)))) |
(* B (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/120 (* -1/5040 (pow B 2)))) 1/6)))) |
(sin B) |
(sin B) |
(sin B) |
(sin B) |
(sin B) |
(sin B) |
(sin B) |
(sin B) |
1/6 |
(+ 1/6 (* 1/3 x)) |
(+ 1/6 (* 1/3 x)) |
(+ 1/6 (* 1/3 x)) |
(* 1/3 x) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(* 1/3 x) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
7/360 |
(+ 7/360 (* 31/15120 (pow B 2))) |
(+ 7/360 (* 31/15120 (pow B 2))) |
(+ 7/360 (* 31/15120 (pow B 2))) |
(* 31/15120 (pow B 2)) |
(* (pow B 2) (+ 31/15120 (* 7/360 (/ 1 (pow B 2))))) |
(* (pow B 2) (+ 31/15120 (* 7/360 (/ 1 (pow B 2))))) |
(* (pow B 2) (+ 31/15120 (* 7/360 (/ 1 (pow B 2))))) |
(* 31/15120 (pow B 2)) |
(* (pow B 2) (+ 31/15120 (* 7/360 (/ 1 (pow B 2))))) |
(* (pow B 2) (+ 31/15120 (* 7/360 (/ 1 (pow B 2))))) |
(* (pow B 2) (+ 31/15120 (* 7/360 (/ 1 (pow B 2))))) |
1 |
(+ 1 (* -2 (pow B 2))) |
(+ 1 (* (pow B 2) (- (* 2/3 (pow B 2)) 2))) |
(+ 1 (* (pow B 2) (- (* (pow B 2) (+ 2/3 (* -4/45 (pow B 2)))) 2))) |
(cos (* 2 B)) |
(cos (* 2 B)) |
(cos (* 2 B)) |
(cos (* 2 B)) |
(cos (* 2 B)) |
(cos (* 2 B)) |
(cos (* 2 B)) |
(cos (* 2 B)) |
| Outputs |
|---|
(/ 1 (sin B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(/ (- 1 x) B) |
(/.f64 (-.f64 #s(literal 1 binary64) x) B) |
(/ (- (+ 1 (* (pow B 2) (- (* 1/2 x) (* -1/6 (- 1 x))))) x) B) |
(/.f64 (fma.f64 B (*.f64 B (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64) (*.f64 x #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) x)) B) |
(/ (- (+ 1 (* (pow B 2) (- (+ (* 1/2 x) (* (pow B 2) (- (* -1/24 x) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x)))))) (* -1/6 (- 1 x))))) x) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64) (fma.f64 (*.f64 B B) (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/120 binary64) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))) (*.f64 x #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) x)) B) |
(/ (- (+ 1 (* (pow B 2) (- (+ (* 1/2 x) (* (pow B 2) (- (+ (* -1/24 x) (* (pow B 2) (- (* 1/720 x) (+ (* -1/6 (- (* -1/24 x) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x))))) (+ (* -1/5040 (- 1 x)) (* 1/120 (- (* 1/2 x) (* -1/6 (- 1 x))))))))) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x)))))) (* -1/6 (- 1 x))))) x) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal -1/24 binary64) (fma.f64 (*.f64 B B) (-.f64 (*.f64 x #s(literal 1/720 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/120 binary64) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/5040 binary64) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/120 binary64))))) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/6 binary64) (fma.f64 (neg.f64 x) #s(literal -1/120 binary64) #s(literal -1/120 binary64))))) (fma.f64 #s(literal 1/6 binary64) (neg.f64 x) #s(literal 1/6 binary64)))) (-.f64 #s(literal 1 binary64) x)) B) |
(/ (- 1 (* x (cos B))) (sin B)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(/ (- 1 (* x (cos B))) (sin B)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(/ (- 1 (* x (cos B))) (sin B)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(/ (- 1 (* x (cos B))) (sin B)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(/ (- 1 (* x (cos B))) (sin B)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(/ (- 1 (* x (cos B))) (sin B)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(/ (- 1 (* x (cos B))) (sin B)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(/ (- 1 (* x (cos B))) (sin B)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* x (cos B)))) |
(-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) |
(+ 1 (* -1 (* x (cos B)))) |
(-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) |
(+ 1 (* -1 (* x (cos B)))) |
(-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) |
(* -1 (* x (cos B))) |
(neg.f64 (*.f64 x (cos.f64 B))) |
(* x (- (/ 1 x) (cos B))) |
(-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) |
(* x (- (/ 1 x) (cos B))) |
(-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) |
(* x (- (/ 1 x) (cos B))) |
(-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) |
(* -1 (* x (cos B))) |
(neg.f64 (*.f64 x (cos.f64 B))) |
(* x (+ (* -1 (cos B)) (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) |
(* x (+ (* -1 (cos B)) (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) |
(* x (+ (* -1 (cos B)) (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (* 1/2 (* (pow B 2) x))) x) |
(fma.f64 x (fma.f64 (*.f64 B B) #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (* (pow B 2) (- (* -1/24 (* (pow B 2) x)) (* -1/2 x)))) x) |
(-.f64 (fma.f64 (*.f64 B B) (*.f64 x (fma.f64 (*.f64 B B) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) x) |
(- (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* 1/720 (* (pow B 2) x)) (* 1/24 x))) (* -1/2 x)))) x) |
(fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(- 1 (* x (cos B))) |
(-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) |
(- 1 (* x (cos B))) |
(-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) |
(- 1 (* x (cos B))) |
(-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) |
(- 1 (* x (cos B))) |
(-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) |
(- 1 (* x (cos B))) |
(-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) |
(- 1 (* x (cos B))) |
(-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) |
(- 1 (* x (cos B))) |
(-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) |
(- 1 (* x (cos B))) |
(-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) |
(* x (cos B)) |
(*.f64 x (cos.f64 B)) |
(* x (cos B)) |
(*.f64 x (cos.f64 B)) |
(* x (cos B)) |
(*.f64 x (cos.f64 B)) |
(* x (cos B)) |
(*.f64 x (cos.f64 B)) |
(* x (cos B)) |
(*.f64 x (cos.f64 B)) |
(* x (cos B)) |
(*.f64 x (cos.f64 B)) |
(* x (cos B)) |
(*.f64 x (cos.f64 B)) |
(* x (cos B)) |
(*.f64 x (cos.f64 B)) |
(* x (cos B)) |
(*.f64 x (cos.f64 B)) |
(* x (cos B)) |
(*.f64 x (cos.f64 B)) |
(* x (cos B)) |
(*.f64 x (cos.f64 B)) |
(* x (cos B)) |
(*.f64 x (cos.f64 B)) |
x |
(+ x (* -1/2 (* (pow B 2) x))) |
(fma.f64 (*.f64 x (*.f64 B B)) #s(literal -1/2 binary64) x) |
(+ x (* (pow B 2) (+ (* -1/2 x) (* 1/24 (* (pow B 2) x))))) |
(fma.f64 (*.f64 B B) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) x) |
(+ x (* (pow B 2) (+ (* -1/2 x) (* (pow B 2) (+ (* -1/720 (* (pow B 2) x)) (* 1/24 x)))))) |
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(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(- 1/2 (* 1/2 (cos (* 2 B)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(- 1/2 (* 1/2 (cos (* 2 B)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(- 1/2 (* 1/2 (cos (* 2 B)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(- 1/2 (* 1/2 (cos (* 2 B)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(- 1/2 (* 1/2 (cos (* 2 B)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(- 1/2 (* 1/2 (cos (* 2 B)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(/ 1 (sin B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(/ (- 1 x) B) |
(/.f64 (-.f64 #s(literal 1 binary64) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B) |
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B) |
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) |
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x) B) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(/ 1 B) |
(/.f64 #s(literal 1 binary64) B) |
(/ (+ 1 (* 1/6 (pow B 2))) B) |
(/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B) |
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B) |
(/.f64 (fma.f64 B (*.f64 B (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B) |
(/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 B (*.f64 B #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B) |
(sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
(sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
(sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
(sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
(sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
(sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
(sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
(sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1 (pow B 2))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 B B)) |
(+ 1/2 (* (pow B 2) (- (* 1/3 (pow B 2)) 1))) |
(fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow B 2) (- (* (pow B 2) (+ 1/3 (* -2/45 (pow B 2)))) 1))) |
(fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) #s(literal -2/45 binary64) #s(literal 1/3 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(* 1/2 (cos (* 2 B))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 B #s(literal 2 binary64)))) |
(* 1/2 (cos (* 2 B))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 B #s(literal 2 binary64)))) |
(* 1/2 (cos (* 2 B))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 B #s(literal 2 binary64)))) |
(* 1/2 (cos (* 2 B))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 B #s(literal 2 binary64)))) |
(* 1/2 (cos (* 2 B))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 B #s(literal 2 binary64)))) |
(* 1/2 (cos (* 2 B))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 B #s(literal 2 binary64)))) |
(* 1/2 (cos (* 2 B))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 B #s(literal 2 binary64)))) |
(* 1/2 (cos (* 2 B))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 B #s(literal 2 binary64)))) |
B |
(* B (+ 1 (* -1/6 (pow B 2)))) |
(fma.f64 B (*.f64 B (*.f64 B #s(literal -1/6 binary64))) B) |
(* B (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6)))) |
(fma.f64 (fma.f64 B (*.f64 B #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 B (*.f64 B B)) B) |
(* B (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/120 (* -1/5040 (pow B 2)))) 1/6)))) |
(fma.f64 (*.f64 B B) (*.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) B) B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 1/3 x)) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
(+ 1/6 (* 1/3 x)) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
(+ 1/6 (* 1/3 x)) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
7/360 |
#s(literal 7/360 binary64) |
(+ 7/360 (* 31/15120 (pow B 2))) |
(fma.f64 B (*.f64 B #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) |
(+ 7/360 (* 31/15120 (pow B 2))) |
(fma.f64 B (*.f64 B #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) |
(+ 7/360 (* 31/15120 (pow B 2))) |
(fma.f64 B (*.f64 B #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) |
(* 31/15120 (pow B 2)) |
(*.f64 (*.f64 B B) #s(literal 31/15120 binary64)) |
(* (pow B 2) (+ 31/15120 (* 7/360 (/ 1 (pow B 2))))) |
(fma.f64 B (*.f64 B #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) |
(* (pow B 2) (+ 31/15120 (* 7/360 (/ 1 (pow B 2))))) |
(fma.f64 B (*.f64 B #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) |
(* (pow B 2) (+ 31/15120 (* 7/360 (/ 1 (pow B 2))))) |
(fma.f64 B (*.f64 B #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) |
(* 31/15120 (pow B 2)) |
(*.f64 (*.f64 B B) #s(literal 31/15120 binary64)) |
(* (pow B 2) (+ 31/15120 (* 7/360 (/ 1 (pow B 2))))) |
(fma.f64 B (*.f64 B #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) |
(* (pow B 2) (+ 31/15120 (* 7/360 (/ 1 (pow B 2))))) |
(fma.f64 B (*.f64 B #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) |
(* (pow B 2) (+ 31/15120 (* 7/360 (/ 1 (pow B 2))))) |
(fma.f64 B (*.f64 B #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -2 (pow B 2))) |
(fma.f64 B (*.f64 B #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow B 2) (- (* 2/3 (pow B 2)) 2))) |
(fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) #s(literal 2/3 binary64) #s(literal -2 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow B 2) (- (* (pow B 2) (+ 2/3 (* -4/45 (pow B 2)))) 2))) |
(fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(cos (* 2 B)) |
(cos.f64 (*.f64 B #s(literal 2 binary64))) |
(cos (* 2 B)) |
(cos.f64 (*.f64 B #s(literal 2 binary64))) |
(cos (* 2 B)) |
(cos.f64 (*.f64 B #s(literal 2 binary64))) |
(cos (* 2 B)) |
(cos.f64 (*.f64 B #s(literal 2 binary64))) |
(cos (* 2 B)) |
(cos.f64 (*.f64 B #s(literal 2 binary64))) |
(cos (* 2 B)) |
(cos.f64 (*.f64 B #s(literal 2 binary64))) |
(cos (* 2 B)) |
(cos.f64 (*.f64 B #s(literal 2 binary64))) |
(cos (* 2 B)) |
(cos.f64 (*.f64 B #s(literal 2 binary64))) |
| 5 138× | lower-*.f32 |
| 5 128× | lower-*.f64 |
| 3 804× | lower-/.f32 |
| 3 796× | lower-/.f64 |
| 2 632× | lower-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 265 |
| 0 | 73 | 250 |
| 1 | 327 | 242 |
| 2 | 2673 | 240 |
| 0 | 8591 | 240 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) |
(*.f64 x (cos.f64 B)) |
(cos.f64 B) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) |
(/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B)) |
(-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B))) |
#s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B)) |
(/.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B) |
(fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) #s(literal -1/2 binary64))) |
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))) |
(sin.f64 B) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) |
(cos.f64 (*.f64 #s(literal 2 binary64) B)) |
| Outputs |
|---|
(+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 B) (fma.f64 (cos.f64 B) (neg.f64 x) #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 x (cos.f64 B)) #s(literal 1 binary64)) (sin.f64 B))) |
(-.f64 (/.f64 (tan.f64 B) (*.f64 (sin.f64 B) (tan.f64 B))) (/.f64 (*.f64 x (sin.f64 B)) (*.f64 (sin.f64 B) (tan.f64 B)))) |
(-.f64 (/.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (/.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)) (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))) (/.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)) (/.f64 x (tan.f64 B))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 x (/.f64 #s(literal -1 binary64) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
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(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 B B)) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 B B))))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 B B)) #s(literal 1 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64)) #s(literal 3 binary64)))))) (*.f64 #s(literal 2 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 B B)) #s(literal 1 binary64)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)) #s(literal 1/2 binary64)))) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 B #s(literal 2 binary64))))))))))) (*.f64 #s(literal 2 binary64) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)) #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 B B)) #s(literal 1 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 B #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64)))))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 B #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 B B)) #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 B #s(literal 2 binary64)))))))))) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64))))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))) #s(literal 3 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (*.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 B #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (cos.f64 (+.f64 B B))))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 B #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (cos.f64 (+.f64 B B))))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64)) #s(literal 3 binary64)))))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))) #s(literal 3 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 B #s(literal 2 binary64)))))))))) (*.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 B #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (cos.f64 (+.f64 B B))))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 B #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (cos.f64 (+.f64 B B))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 B #s(literal 2 binary64))))))))))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 B #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (cos.f64 (+.f64 B B))))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (*.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 B #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (cos.f64 (+.f64 B B))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)) #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 B #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (cos.f64 (+.f64 B B))))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 B #s(literal 2 binary64)))))))))) (*.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 B #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (cos.f64 (+.f64 B B))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))) #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 B #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (cos.f64 (+.f64 B B))))) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 B B))))) (*.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 B #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (cos.f64 (+.f64 B B))))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))) #s(literal 3 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) (*.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 B #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (cos.f64 (+.f64 B B))))) (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64)) #s(literal 3 binary64)))))) (*.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 B #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (cos.f64 (+.f64 B B))))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))) #s(literal 3 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)) #s(literal 1/2 binary64)))) (*.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 B #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (cos.f64 (+.f64 B B))))) (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 B #s(literal 2 binary64))))))))))) (*.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 B #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (cos.f64 (+.f64 B B))))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)) #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 B #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64)))))) (*.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 B #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (cos.f64 (+.f64 B B))))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (*.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 B #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (cos.f64 (+.f64 B B))))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 B #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))) #s(literal 3 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64)))) (*.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 B #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (cos.f64 (+.f64 B B))))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 B #s(literal 2 binary64)))))))))) (*.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 B #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (cos.f64 (+.f64 B B))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 B) #s(literal 6 binary64)) (pow.f64 (sin.f64 B) #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (cos.f64 B) #s(literal 4 binary64)) (+.f64 (pow.f64 (sin.f64 B) #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 B) #s(literal 4 binary64)) (pow.f64 (sin.f64 B) #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (cos.f64 B) (sin.f64 B)) (-.f64 (cos.f64 B) (sin.f64 B))) |
Compiled 23 995 to 2 320 computations (90.3% saved)
50 alts after pruning (44 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 983 | 19 | 1 002 |
| Fresh | 3 | 25 | 28 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 988 | 50 | 1 038 |
| Status | Accuracy | Program |
|---|---|---|
| 76.5% | (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) | |
| ▶ | 99.7% | (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 39.5% | (/.f64 (fma.f64 (sin.f64 B) x (tan.f64 B)) (*.f64 (sin.f64 B) (tan.f64 B))) | |
| 99.7% | (/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 (sin.f64 B) x)) (sin.f64 B)) (tan.f64 B)) | |
| 62.2% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))) (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) | |
| ✓ | 99.8% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
| 77.3% | (/.f64 #s(approx (- 1 (* x (cos B))) (-.f64 #s(literal 1 binary64) x)) (sin.f64 B)) | |
| 49.2% | (/.f64 #s(approx (- 1 (* x (cos B))) (neg.f64 (*.f64 x (cos.f64 B)))) (sin.f64 B)) | |
| ✓ | 99.8% | (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
| 76.5% | (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B))) | |
| 76.5% | (+.f64 (neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) | |
| ▶ | 48.5% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) B)) |
| 52.8% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) | |
| 52.7% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x) B)) | |
| 41.9% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/36 binary64)))) #s(literal 1 binary64)) x) B)) | |
| 52.2% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) #s(approx (+ (* x 1/3) 1/6) (*.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)) x) B)) | |
| 52.8% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) #s(approx (+ (* x 1/3) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B)) | |
| 48.5% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) x) B)) | |
| 38.0% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B) (*.f64 B x)) (*.f64 B B))) | |
| 40.4% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 B x)) (*.f64 (/.f64 B (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 B (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (/.f64 B x)))) | |
| 24.9% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 (*.f64 x (*.f64 B B)) #s(literal 1/3 binary64))) x) B)) | |
| 47.9% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (*.f64 (+.f64 x (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)) (*.f64 B (+.f64 x (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))))) | |
| 29.7% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) B)) | |
| ▶ | 24.9% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)))) B)) |
| 52.7% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (fma.f64 x (*.f64 B (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) | |
| 52.8% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (fma.f64 B #s(literal 1/6 binary64) (fma.f64 B (*.f64 x #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))) | |
| ▶ | 3.1% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))))) |
| 48.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) B)) | |
| 39.4% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (fma.f64 (neg.f64 x) (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) B)) | |
| 48.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B)) | |
| 52.4% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) B)) | |
| 32.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)))) | |
| 38.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 B (*.f64 B x)) (*.f64 B B))) | |
| 48.3% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 B x B))) | |
| ✓ | 52.4% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
| 21.8% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) (*.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 #s(literal 1 binary64) x)))) | |
| 25.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B)) | |
| ✓ | 29.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) |
| 38.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 B B) (-.f64 B (*.f64 B x))))) | |
| 52.4% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x)))) | |
| ✓ | 52.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| ▶ | 29.8% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) #s(approx (sin B) (fma.f64 (*.f64 B B) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B) B)))) |
| 29.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) #s(approx (sin B) (fma.f64 B (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) B)))) | |
| 21.3% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) B) B) (*.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (/.f64 x B) (/.f64 x B)) (*.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 #s(literal 1 binary64) x))))) | |
| 46.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) B) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) | |
| 52.4% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x))) | |
| 29.8% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (pow (- 1/2 (* 1/2 (cos (* 2 B)))) -1/2) (/.f64 (fma.f64 B (*.f64 B (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B))) | |
| 22.1% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (pow (- 1/2 (* 1/2 (cos (* 2 B)))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) | |
| ✓ | 29.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B))) |
| 29.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) B))) |
Compiled 1 644 to 894 computations (45.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (fma.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) B) | |
| cost-diff | 0 | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) B)) | |
| cost-diff | 3456 | (fma.f64 (fma.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) | |
| cost-diff | 0 | (fma.f64 (*.f64 B B) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B) B) | |
| cost-diff | 0 | #s(approx (sin B) (fma.f64 (*.f64 B B) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B) B)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (sin B) (fma.f64 (*.f64 B B) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B) B))) | |
| cost-diff | 0 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) #s(approx (sin B) (fma.f64 (*.f64 B B) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B) B)))) | |
| cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)))) B) | |
| cost-diff | 0 | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)))) B)) | |
| cost-diff | 0 | (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) | |
| cost-diff | 0 | (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) | |
| cost-diff | 0 | #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) | |
| cost-diff | 0 | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sin.f64 B)) | |
| cost-diff | 0 | (tan.f64 B) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (tan.f64 B)) | |
| cost-diff | 192 | (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 8 050× | lower-fma.f32 |
| 8 034× | lower-fma.f64 |
| 3 654× | lower-*.f32 |
| 3 642× | lower-*.f64 |
| 2 126× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 473 |
| 0 | 85 | 433 |
| 1 | 161 | 427 |
| 2 | 384 | 421 |
| 3 | 1148 | 402 |
| 4 | 3279 | 402 |
| 5 | 6528 | 402 |
| 0 | 8140 | 389 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 #s(literal -1 binary64) (tan.f64 B)) |
#s(literal -1 binary64) |
(tan.f64 B) |
B |
x |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
#s(literal 1 binary64) |
(sin.f64 B) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))))) |
#s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) |
(*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
B |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
x |
#s(literal 1/3 binary64) |
#s(literal 1/6 binary64) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)))) B)) |
(/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)))) B) |
#s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)))) |
(*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64))) |
x |
(fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)) |
(*.f64 B B) |
B |
#s(literal 1/3 binary64) |
#s(literal -1 binary64) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) #s(approx (sin B) (fma.f64 (*.f64 B B) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B) B)))) |
(/.f64 #s(literal 1 binary64) #s(approx (sin B) (fma.f64 (*.f64 B B) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B) B))) |
#s(literal 1 binary64) |
#s(approx (sin B) (fma.f64 (*.f64 B B) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B) B)) |
(fma.f64 (*.f64 B B) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B) B) |
(*.f64 B B) |
B |
(*.f64 (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B) |
(fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) B)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) B) |
(fma.f64 (fma.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) |
(fma.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) |
(*.f64 B B) |
B |
(*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
x |
#s(literal 1/3 binary64) |
#s(literal 1/6 binary64) |
(*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
(neg.f64 x) |
| Outputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(/.f64 #s(literal -1 binary64) (tan.f64 B)) |
#s(literal -1 binary64) |
(tan.f64 B) |
B |
x |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
#s(literal 1 binary64) |
(sin.f64 B) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))))) |
#s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) |
(*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
B |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
x |
#s(literal 1/3 binary64) |
#s(literal 1/6 binary64) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 x (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal -1 binary64)))) B)) |
(/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)))) B) |
(/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 x (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal -1 binary64)))) B) |
#s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)))) |
#s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 x (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal -1 binary64)))) |
(*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64))) |
(*.f64 x (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal -1 binary64))) |
x |
(fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)) |
(fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal -1 binary64)) |
(*.f64 B B) |
B |
#s(literal 1/3 binary64) |
#s(literal -1 binary64) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) #s(approx (sin B) (fma.f64 (*.f64 B B) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B) B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) #s(approx (sin B) (fma.f64 (fma.f64 B (*.f64 B #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 B (*.f64 B B)) B)))) |
(/.f64 #s(literal 1 binary64) #s(approx (sin B) (fma.f64 (*.f64 B B) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B) B))) |
(/.f64 #s(literal 1 binary64) #s(approx (sin B) (fma.f64 (fma.f64 B (*.f64 B #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 B (*.f64 B B)) B))) |
#s(literal 1 binary64) |
#s(approx (sin B) (fma.f64 (*.f64 B B) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B) B)) |
#s(approx (sin B) (fma.f64 (fma.f64 B (*.f64 B #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 B (*.f64 B B)) B)) |
(fma.f64 (*.f64 B B) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B) B) |
(fma.f64 (fma.f64 B (*.f64 B #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 B (*.f64 B B)) B) |
(*.f64 B B) |
B |
(*.f64 (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B) |
(*.f64 B (fma.f64 B (*.f64 B #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(fma.f64 B (*.f64 B #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x) B)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) B) |
(/.f64 (-.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x) B) |
(fma.f64 (fma.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) |
(-.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) |
(fma.f64 B (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B (*.f64 B B)))) #s(literal -1 binary64)) |
(*.f64 B B) |
B |
(*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) |
(*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
x |
#s(literal 1/3 binary64) |
#s(literal 1/6 binary64) |
(*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
(*.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (fma.f64 B (*.f64 B (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal -1 binary64)) |
(neg.f64 x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 2.651733075082365 | (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) | |
| accuracy | 10.515196033693078 | (/.f64 (fma.f64 (fma.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) B) | |
| accuracy | 22.806168954480146 | (fma.f64 (fma.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) | |
| accuracy | 30.239476029786367 | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) B)) | |
| accuracy | 0.09765625 | (/.f64 #s(literal 1 binary64) #s(approx (sin B) (fma.f64 (*.f64 B B) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B) B))) | |
| accuracy | 0.19140625 | (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B) | |
| accuracy | 30.3435815820353 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) #s(approx (sin B) (fma.f64 (*.f64 B B) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B) B)))) | |
| accuracy | 30.387103560051045 | #s(approx (sin B) (fma.f64 (*.f64 B B) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B) B)) | |
| accuracy | 2.880388846565306 | (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64))) | |
| accuracy | 10.515196033693078 | (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)))) B) | |
| accuracy | 30.187302477493144 | #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)))) | |
| accuracy | 30.239476029786367 | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)))) B)) | |
| accuracy | 0.171875 | (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) | |
| accuracy | 0.24609375 | (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) | |
| accuracy | 30.239476029786367 | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))))) | |
| accuracy | 32.63597513437303 | #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) | |
| accuracy | 0 | (sin.f64 B) | |
| accuracy | 0.08984375 | (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) | |
| accuracy | 0.09765625 | (/.f64 #s(literal 1 binary64) (sin.f64 B)) | |
| accuracy | 0.15234375 | (/.f64 #s(literal -1 binary64) (tan.f64 B)) |
| 171.0ms | 256× | 0 | valid |
Compiled 357 to 47 computations (86.8% saved)
ival-div: 86.0ms (59.8% of total)ival-mult: 20.0ms (13.9% of total)const: 12.0ms (8.3% of total)ival-add: 11.0ms (7.6% of total)ival-tan: 6.0ms (4.2% of total)ival-sin: 5.0ms (3.5% of total)ival-sub: 2.0ms (1.4% of total)ival-neg: 2.0ms (1.4% 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 (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal -1 binary64) (tan.f64 B)) #<representation binary64>) () ()) |
#s(alt (tan.f64 B) (patch (tan.f64 B) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))))) (patch #s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) (patch #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (patch (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)))) B)) (patch #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)))) B)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)))) B) (patch (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)))) B) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)))) (patch #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64))) (patch (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) #s(approx (sin B) (fma.f64 (*.f64 B B) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B) B)))) (patch #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) #s(approx (sin B) (fma.f64 (*.f64 B B) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B) B)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (sin B) (fma.f64 (*.f64 B B) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B) B))) (patch (/.f64 #s(literal 1 binary64) #s(approx (sin B) (fma.f64 (*.f64 B B) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B) B))) #<representation binary64>) () ()) |
#s(alt #s(approx (sin B) (fma.f64 (*.f64 B B) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B) B)) (patch #s(approx (sin B) (fma.f64 (*.f64 B B) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B) B)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 B B) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B) B) (patch (fma.f64 (*.f64 B B) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B) B) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) (patch (fma.f64 (fma.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) B)) (patch #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) B)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (fma.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) B) (patch (/.f64 (fma.f64 (fma.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) B) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (sin.f64 B) (patch (sin.f64 B) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B) (patch (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (patch (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (+ 1 (* -1 x)) B) (taylor 0 B) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/6 (* 1/3 x))))) B) (taylor 0 B) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x))))))))) B) (taylor 0 B) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x)))))))))))))) B) (taylor 0 B) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) (taylor inf B) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) (taylor inf B) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) (taylor inf B) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) (taylor inf B) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) (taylor -inf B) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) (taylor -inf B) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) (taylor -inf B) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) (taylor -inf B) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (sin B)) (taylor 0 x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 B) (taylor 0 B) (#s(alt (/.f64 #s(literal -1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal -1 binary64) (tan.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* 1/3 (pow B 2)) 1) B) (taylor 0 B) (#s(alt (/.f64 #s(literal -1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal -1 binary64) (tan.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1) B) (taylor 0 B) (#s(alt (/.f64 #s(literal -1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal -1 binary64) (tan.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (* 2/945 (pow B 2)))))) 1) B) (taylor 0 B) (#s(alt (/.f64 #s(literal -1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal -1 binary64) (tan.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (cos B) (sin B))) (taylor inf B) (#s(alt (/.f64 #s(literal -1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal -1 binary64) (tan.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (cos B) (sin B))) (taylor inf B) (#s(alt (/.f64 #s(literal -1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal -1 binary64) (tan.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (cos B) (sin B))) (taylor inf B) (#s(alt (/.f64 #s(literal -1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal -1 binary64) (tan.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (cos B) (sin B))) (taylor inf B) (#s(alt (/.f64 #s(literal -1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal -1 binary64) (tan.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (cos B) (sin B))) (taylor -inf B) (#s(alt (/.f64 #s(literal -1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal -1 binary64) (tan.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (cos B) (sin B))) (taylor -inf B) (#s(alt (/.f64 #s(literal -1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal -1 binary64) (tan.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (cos B) (sin B))) (taylor -inf B) (#s(alt (/.f64 #s(literal -1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal -1 binary64) (tan.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (cos B) (sin B))) (taylor -inf B) (#s(alt (/.f64 #s(literal -1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal -1 binary64) (tan.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt B (taylor 0 B) (#s(alt (tan.f64 B) (patch (tan.f64 B) #<representation binary64>) () ())) ()) |
#s(alt (* B (+ 1 (* 1/3 (pow B 2)))) (taylor 0 B) (#s(alt (tan.f64 B) (patch (tan.f64 B) #<representation binary64>) () ())) ()) |
#s(alt (* B (+ 1 (* (pow B 2) (+ 1/3 (* 2/15 (pow B 2)))))) (taylor 0 B) (#s(alt (tan.f64 B) (patch (tan.f64 B) #<representation binary64>) () ())) ()) |
#s(alt (* B (+ 1 (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 2/15 (* 17/315 (pow B 2)))))))) (taylor 0 B) (#s(alt (tan.f64 B) (patch (tan.f64 B) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin B) (cos B)) (taylor inf B) (#s(alt (tan.f64 B) (patch (tan.f64 B) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin B) (cos B)) (taylor inf B) (#s(alt (tan.f64 B) (patch (tan.f64 B) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin B) (cos B)) (taylor inf B) (#s(alt (tan.f64 B) (patch (tan.f64 B) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin B) (cos B)) (taylor inf B) (#s(alt (tan.f64 B) (patch (tan.f64 B) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin B) (cos B)) (taylor -inf B) (#s(alt (tan.f64 B) (patch (tan.f64 B) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin B) (cos B)) (taylor -inf B) (#s(alt (tan.f64 B) (patch (tan.f64 B) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin B) (cos B)) (taylor -inf B) (#s(alt (tan.f64 B) (patch (tan.f64 B) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin B) (cos B)) (taylor -inf B) (#s(alt (tan.f64 B) (patch (tan.f64 B) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 B) (taylor 0 B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* 1/6 (pow B 2))) B) (taylor 0 B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B) (taylor 0 B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B) (taylor 0 B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (sin B)) (taylor inf B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (sin B)) (taylor inf B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (sin B)) (taylor inf B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (sin B)) (taylor inf B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (sin B)) (taylor -inf B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (sin B)) (taylor -inf B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (sin B)) (taylor -inf B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (sin B)) (taylor -inf B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 x) B) (taylor 0 B) (#s(alt #s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))))) (patch #s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B) (taylor 0 B) (#s(alt #s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))))) (patch #s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B) (taylor 0 B) (#s(alt #s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))))) (patch #s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) (taylor 0 B) (#s(alt #s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))))) (patch #s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) (taylor inf B) (#s(alt #s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))))) (patch #s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* 1/6 (pow B 2)) (* 1/3 (* (pow B 2) x))) (taylor 0 x) (#s(alt (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (patch (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/6 (pow B 2)) (* 1/3 (* (pow B 2) x))) (taylor 0 x) (#s(alt (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (patch (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/6 (pow B 2)) (* 1/3 (* (pow B 2) x))) (taylor 0 x) (#s(alt (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (patch (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (pow B 2) x)) (taylor inf x) (#s(alt (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (patch (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 1/6 (/ (pow B 2) x)) (* 1/3 (pow B 2)))) (taylor inf x) (#s(alt (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (patch (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 1/6 (/ (pow B 2) x)) (* 1/3 (pow B 2)))) (taylor inf x) (#s(alt (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (patch (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 1/6 (/ (pow B 2) x)) (* 1/3 (pow B 2)))) (taylor inf x) (#s(alt (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (patch (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (pow B 2) x)) (taylor -inf x) (#s(alt (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (patch (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1/3 (pow B 2)) (* -1/6 (/ (pow B 2) x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (patch (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1/3 (pow B 2)) (* -1/6 (/ (pow B 2) x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (patch (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1/3 (pow B 2)) (* -1/6 (/ (pow B 2) x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (patch (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
111 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | 0 | (* B (+ (* x 1/3) 1/6)) |
| 5.0ms | x | @ | inf | (* x (+ (* (* B B) 1/3) -1)) |
| 2.0ms | x | @ | 0 | (+ (* (+ (* (* B B) (* (+ (* x 1/3) 1/6) (* (* B B) (+ (* x 1/3) 1/6)))) -1) (/ 1 (+ (* (* B B) (+ (* x 1/3) 1/6)) -1))) (neg x)) |
| 1.0ms | B | @ | inf | (+ (* (+ (* (* B B) (* (+ (* x 1/3) 1/6) (* (* B B) (+ (* x 1/3) 1/6)))) -1) (/ 1 (+ (* (* B B) (+ (* x 1/3) 1/6)) -1))) (neg x)) |
| 1.0ms | x | @ | 0 | (/ (+ (* (+ (* (* B B) (* (+ (* x 1/3) 1/6) (* (* B B) (+ (* x 1/3) 1/6)))) -1) (/ 1 (+ (* (* B B) (+ (* x 1/3) 1/6)) -1))) (neg x)) B) |
| 1× | egg-herbie |
| 8 792× | lower-fma.f64 |
| 8 792× | lower-fma.f32 |
| 5 128× | lower-*.f64 |
| 5 128× | lower-*.f32 |
| 4 516× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 570 | 6932 |
| 1 | 1816 | 6643 |
| 2 | 6133 | 6633 |
| 0 | 8409 | 6074 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ 1 (* -1 x)) B) |
(/ (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/6 (* 1/3 x))))) B) |
(/ (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x))))))))) B) |
(/ (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x)))))))))))))) B) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(/ 1 (sin B)) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(/ -1 B) |
(/ (- (* 1/3 (pow B 2)) 1) B) |
(/ (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1) B) |
(/ (- (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (* 2/945 (pow B 2)))))) 1) B) |
(* -1 (/ (cos B) (sin B))) |
(* -1 (/ (cos B) (sin B))) |
(* -1 (/ (cos B) (sin B))) |
(* -1 (/ (cos B) (sin B))) |
(* -1 (/ (cos B) (sin B))) |
(* -1 (/ (cos B) (sin B))) |
(* -1 (/ (cos B) (sin B))) |
(* -1 (/ (cos B) (sin B))) |
B |
(* B (+ 1 (* 1/3 (pow B 2)))) |
(* B (+ 1 (* (pow B 2) (+ 1/3 (* 2/15 (pow B 2)))))) |
(* B (+ 1 (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 2/15 (* 17/315 (pow B 2)))))))) |
(/ (sin B) (cos B)) |
(/ (sin B) (cos B)) |
(/ (sin B) (cos B)) |
(/ (sin B) (cos B)) |
(/ (sin B) (cos B)) |
(/ (sin B) (cos B)) |
(/ (sin B) (cos B)) |
(/ (sin B) (cos B)) |
(/ 1 B) |
(/ (+ 1 (* 1/6 (pow B 2))) B) |
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B) |
(/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B) |
(/ 1 (sin B)) |
(/ 1 (sin B)) |
(/ 1 (sin B)) |
(/ 1 (sin B)) |
(/ 1 (sin B)) |
(/ 1 (sin B)) |
(/ 1 (sin B)) |
(/ 1 (sin B)) |
(/ (- 1 x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(/ 1 (sin B)) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(/ (- 1 x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B) |
(* B (+ 1/6 (* 1/3 x))) |
(* B (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2)))) |
(* B (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2)))) |
(* B (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2)))) |
(* B (+ 1/6 (* 1/3 x))) |
(* -1 (* B (+ (* -1 (+ 1/6 (* 1/3 x))) (* -1 (/ (- 1 x) (pow B 2)))))) |
(* -1 (* B (+ (* -1 (+ 1/6 (* 1/3 x))) (* -1 (/ (- 1 x) (pow B 2)))))) |
(* -1 (* B (+ (* -1 (+ 1/6 (* 1/3 x))) (* -1 (/ (- 1 x) (pow B 2)))))) |
(/ (+ 1 (* 1/6 (pow B 2))) B) |
(+ (* 1/6 B) (+ (* x (- (* 1/3 B) (/ 1 B))) (/ 1 B))) |
(+ (* 1/6 B) (+ (* x (- (* 1/3 B) (/ 1 B))) (/ 1 B))) |
(+ (* 1/6 B) (+ (* x (- (* 1/3 B) (/ 1 B))) (/ 1 B))) |
(/ (* x (- (* 1/3 (pow B 2)) 1)) B) |
(* x (- (+ (* 1/6 (/ B x)) (+ (* 1/3 B) (/ 1 (* B x)))) (/ 1 B))) |
(* x (- (+ (* 1/6 (/ B x)) (+ (* 1/3 B) (/ 1 (* B x)))) (/ 1 B))) |
(* x (- (+ (* 1/6 (/ B x)) (+ (* 1/3 B) (/ 1 (* B x)))) (/ 1 B))) |
(* -1 (/ (* x (+ 1 (* -1/3 (pow B 2)))) B)) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/6 B) (/ 1 B)) x)) (+ (* -1/3 B) (/ 1 B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/6 B) (/ 1 B)) x)) (+ (* -1/3 B) (/ 1 B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/6 B) (/ 1 B)) x)) (+ (* -1/3 B) (/ 1 B))))) |
(* B (+ 1/6 (* 1/3 x))) |
(* B (+ 1/6 (* 1/3 x))) |
(* B (+ 1/6 (* 1/3 x))) |
(* B (+ 1/6 (* 1/3 x))) |
(* B (+ 1/6 (* 1/3 x))) |
(* B (+ 1/6 (* 1/3 x))) |
(* B (+ 1/6 (* 1/3 x))) |
(* B (+ 1/6 (* 1/3 x))) |
(* B (+ 1/6 (* 1/3 x))) |
(* B (+ 1/6 (* 1/3 x))) |
(* B (+ 1/6 (* 1/3 x))) |
(* B (+ 1/6 (* 1/3 x))) |
(* 1/6 B) |
(+ (* 1/6 B) (* 1/3 (* B x))) |
(+ (* 1/6 B) (* 1/3 (* B x))) |
(+ (* 1/6 B) (* 1/3 (* B x))) |
(* 1/3 (* B x)) |
(* x (+ (* 1/6 (/ B x)) (* 1/3 B))) |
(* x (+ (* 1/6 (/ B x)) (* 1/3 B))) |
(* x (+ (* 1/6 (/ B x)) (* 1/3 B))) |
(* 1/3 (* B x)) |
(* -1 (* x (+ (* -1/3 B) (* -1/6 (/ B x))))) |
(* -1 (* x (+ (* -1/3 B) (* -1/6 (/ B x))))) |
(* -1 (* x (+ (* -1/3 B) (* -1/6 (/ B x))))) |
1/6 |
(+ 1/6 (* 1/3 x)) |
(+ 1/6 (* 1/3 x)) |
(+ 1/6 (* 1/3 x)) |
(* 1/3 x) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(* 1/3 x) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(/ (- 1 x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(/ 1 (sin B)) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(/ (- 1 x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B) |
(* B (+ 1/6 (* 1/3 x))) |
(* B (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2)))) |
(* B (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2)))) |
(* B (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2)))) |
(* B (+ 1/6 (* 1/3 x))) |
(* -1 (* B (+ (* -1 (+ 1/6 (* 1/3 x))) (* -1 (/ (- 1 x) (pow B 2)))))) |
(* -1 (* B (+ (* -1 (+ 1/6 (* 1/3 x))) (* -1 (/ (- 1 x) (pow B 2)))))) |
(* -1 (* B (+ (* -1 (+ 1/6 (* 1/3 x))) (* -1 (/ (- 1 x) (pow B 2)))))) |
(/ (+ 1 (* 1/6 (pow B 2))) B) |
(+ (* 1/6 B) (+ (* x (- (* 1/3 B) (/ 1 B))) (/ 1 B))) |
(+ (* 1/6 B) (+ (* x (- (* 1/3 B) (/ 1 B))) (/ 1 B))) |
(+ (* 1/6 B) (+ (* x (- (* 1/3 B) (/ 1 B))) (/ 1 B))) |
(/ (* x (- (* 1/3 (pow B 2)) 1)) B) |
(* x (- (+ (* 1/6 (/ B x)) (+ (* 1/3 B) (/ 1 (* B x)))) (/ 1 B))) |
(* x (- (+ (* 1/6 (/ B x)) (+ (* 1/3 B) (/ 1 (* B x)))) (/ 1 B))) |
(* x (- (+ (* 1/6 (/ B x)) (+ (* 1/3 B) (/ 1 (* B x)))) (/ 1 B))) |
(* -1 (/ (* x (+ 1 (* -1/3 (pow B 2)))) B)) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/6 B) (/ 1 B)) x)) (+ (* -1/3 B) (/ 1 B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/6 B) (/ 1 B)) x)) (+ (* -1/3 B) (/ 1 B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/6 B) (/ 1 B)) x)) (+ (* -1/3 B) (/ 1 B))))) |
(- 1 x) |
(- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) |
(- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) |
(- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) |
(* (pow B 2) (+ 1/6 (* 1/3 x))) |
(* (pow B 2) (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2)))) |
(* (pow B 2) (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2)))) |
(* (pow B 2) (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2)))) |
(* (pow B 2) (+ 1/6 (* 1/3 x))) |
(* (pow B 2) (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2)))) |
(* (pow B 2) (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2)))) |
(* (pow B 2) (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2)))) |
(+ 1 (* 1/6 (pow B 2))) |
(+ 1 (+ (* 1/6 (pow B 2)) (* x (- (* 1/3 (pow B 2)) 1)))) |
(+ 1 (+ (* 1/6 (pow B 2)) (* x (- (* 1/3 (pow B 2)) 1)))) |
(+ 1 (+ (* 1/6 (pow B 2)) (* x (- (* 1/3 (pow B 2)) 1)))) |
(* x (- (* 1/3 (pow B 2)) 1)) |
(* x (- (+ (* 1/6 (/ (pow B 2) x)) (+ (* 1/3 (pow B 2)) (/ 1 x))) 1)) |
(* x (- (+ (* 1/6 (/ (pow B 2) x)) (+ (* 1/3 (pow B 2)) (/ 1 x))) 1)) |
(* x (- (+ (* 1/6 (/ (pow B 2) x)) (+ (* 1/3 (pow B 2)) (/ 1 x))) 1)) |
(* -1 (* x (+ 1 (* -1/3 (pow B 2))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* 1/6 (pow B 2))) x)) (* -1/3 (pow B 2)))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* 1/6 (pow B 2))) x)) (* -1/3 (pow B 2)))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* 1/6 (pow B 2))) x)) (* -1/3 (pow B 2)))))) |
(* x (- (* 1/3 (pow B 2)) 1)) |
(* x (- (* 1/3 (pow B 2)) 1)) |
(* x (- (* 1/3 (pow B 2)) 1)) |
(* x (- (* 1/3 (pow B 2)) 1)) |
(* x (- (* 1/3 (pow B 2)) 1)) |
(* x (- (* 1/3 (pow B 2)) 1)) |
(* x (- (* 1/3 (pow B 2)) 1)) |
(* x (- (* 1/3 (pow B 2)) 1)) |
(* x (- (* 1/3 (pow B 2)) 1)) |
(* x (- (* 1/3 (pow B 2)) 1)) |
(* x (- (* 1/3 (pow B 2)) 1)) |
(* x (- (* 1/3 (pow B 2)) 1)) |
(* -1 x) |
(+ (* -1 x) (* 1/3 (* (pow B 2) x))) |
(+ (* -1 x) (* 1/3 (* (pow B 2) x))) |
(+ (* -1 x) (* 1/3 (* (pow B 2) x))) |
(* 1/3 (* (pow B 2) x)) |
(* (pow B 2) (+ (* -1 (/ x (pow B 2))) (* 1/3 x))) |
(* (pow B 2) (+ (* -1 (/ x (pow B 2))) (* 1/3 x))) |
(* (pow B 2) (+ (* -1 (/ x (pow B 2))) (* 1/3 x))) |
(* 1/3 (* (pow B 2) x)) |
(* (pow B 2) (+ (* -1 (/ x (pow B 2))) (* 1/3 x))) |
(* (pow B 2) (+ (* -1 (/ x (pow B 2))) (* 1/3 x))) |
(* (pow B 2) (+ (* -1 (/ x (pow B 2))) (* 1/3 x))) |
(/ 1 (sin B)) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(/ (- 1 x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(/ 1 B) |
(/ (+ 1 (* 1/6 (pow B 2))) B) |
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B) |
(/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B) |
(/ 1 (sin B)) |
(/ 1 (sin B)) |
(/ 1 (sin B)) |
(/ 1 (sin B)) |
(/ 1 (sin B)) |
(/ 1 (sin B)) |
(/ 1 (sin B)) |
(/ 1 (sin B)) |
B |
(* B (+ 1 (* -1/6 (pow B 2)))) |
(* B (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6)))) |
(* B (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/120 (* -1/5040 (pow B 2)))) 1/6)))) |
(sin B) |
(sin B) |
(sin B) |
(sin B) |
(sin B) |
(sin B) |
(sin B) |
(sin B) |
B |
(* B (+ 1 (* -1/6 (pow B 2)))) |
(* B (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6)))) |
(* B (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6)))) |
(* 1/120 (pow B 5)) |
(* (pow B 5) (- 1/120 (* 1/6 (/ 1 (pow B 2))))) |
(* (pow B 5) (- (+ 1/120 (/ 1 (pow B 4))) (* 1/6 (/ 1 (pow B 2))))) |
(* (pow B 5) (- (+ 1/120 (/ 1 (pow B 4))) (* 1/6 (/ 1 (pow B 2))))) |
(* 1/120 (pow B 5)) |
(* -1 (* (pow B 5) (- (* 1/6 (/ 1 (pow B 2))) 1/120))) |
(* -1 (* (pow B 5) (- (* 1/6 (/ 1 (pow B 2))) (+ 1/120 (/ 1 (pow B 4)))))) |
(* -1 (* (pow B 5) (- (* 1/6 (/ 1 (pow B 2))) (+ 1/120 (/ 1 (pow B 4)))))) |
(- 1 x) |
(- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) |
(- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (pow (+ 1/6 (* 1/3 x)) 2)) (pow (+ 1/6 (* 1/3 x)) 2))))))) x) |
(- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (pow (+ 1/6 (* 1/3 x)) 2)) (pow (+ 1/6 (* 1/3 x)) 2))))))) x) |
(* (pow B 2) (+ 1/6 (* 1/3 x))) |
(* (pow B 2) (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2)))) |
(* (pow B 2) (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2)))) |
(* (pow B 2) (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2)))) |
(* (pow B 2) (+ 1/6 (* 1/3 x))) |
(* (pow B 2) (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2)))) |
(* (pow B 2) (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2)))) |
(* (pow B 2) (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2)))) |
(- (* 1/36 (/ (pow B 4) (- (* 1/6 (pow B 2)) 1))) (/ 1 (- (* 1/6 (pow B 2)) 1))) |
(- (+ (* 1/36 (/ (pow B 4) (- (* 1/6 (pow B 2)) 1))) (* x (- (+ (* 1/9 (/ (pow B 4) (- (* 1/6 (pow B 2)) 1))) (* 1/3 (/ (pow B 2) (pow (- (* 1/6 (pow B 2)) 1) 2)))) (+ 1 (* 1/108 (/ (pow B 6) (pow (- (* 1/6 (pow B 2)) 1) 2))))))) (/ 1 (- (* 1/6 (pow B 2)) 1))) |
(- (+ (* 1/36 (/ (pow B 4) (- (* 1/6 (pow B 2)) 1))) (* x (- (+ (* 1/9 (/ (pow B 4) (- (* 1/6 (pow B 2)) 1))) (+ (* 1/3 (/ (pow B 2) (pow (- (* 1/6 (pow B 2)) 1) 2))) (* x (- (+ (* -1/9 (/ (pow B 4) (pow (- (* 1/6 (pow B 2)) 1) 3))) (* 1/9 (/ (pow B 4) (- (* 1/6 (pow B 2)) 1)))) (* 1/3 (/ (* (pow B 2) (- (* 1/9 (/ (pow B 4) (- (* 1/6 (pow B 2)) 1))) (* 1/108 (/ (pow B 6) (pow (- (* 1/6 (pow B 2)) 1) 2))))) (- (* 1/6 (pow B 2)) 1))))))) (+ 1 (* 1/108 (/ (pow B 6) (pow (- (* 1/6 (pow B 2)) 1) 2))))))) (/ 1 (- (* 1/6 (pow B 2)) 1))) |
(- (+ (* 1/36 (/ (pow B 4) (- (* 1/6 (pow B 2)) 1))) (* x (- (+ (* 1/9 (/ (pow B 4) (- (* 1/6 (pow B 2)) 1))) (+ (* 1/3 (/ (pow B 2) (pow (- (* 1/6 (pow B 2)) 1) 2))) (* x (- (+ (* -1/9 (/ (pow B 4) (pow (- (* 1/6 (pow B 2)) 1) 3))) (+ (* 1/9 (/ (pow B 4) (- (* 1/6 (pow B 2)) 1))) (* x (- (* 1/27 (/ (pow B 6) (pow (- (* 1/6 (pow B 2)) 1) 4))) (* 1/3 (/ (* (pow B 2) (- (* 1/9 (/ (pow B 4) (- (* 1/6 (pow B 2)) 1))) (* 1/3 (/ (* (pow B 2) (- (* 1/9 (/ (pow B 4) (- (* 1/6 (pow B 2)) 1))) (* 1/108 (/ (pow B 6) (pow (- (* 1/6 (pow B 2)) 1) 2))))) (- (* 1/6 (pow B 2)) 1))))) (- (* 1/6 (pow B 2)) 1))))))) (* 1/3 (/ (* (pow B 2) (- (* 1/9 (/ (pow B 4) (- (* 1/6 (pow B 2)) 1))) (* 1/108 (/ (pow B 6) (pow (- (* 1/6 (pow B 2)) 1) 2))))) (- (* 1/6 (pow B 2)) 1))))))) (+ 1 (* 1/108 (/ (pow B 6) (pow (- (* 1/6 (pow B 2)) 1) 2))))))) (/ 1 (- (* 1/6 (pow B 2)) 1))) |
(* x (- (* 1/3 (pow B 2)) 1)) |
(* x (- (+ (* 1/3 (/ (pow B 2) x)) (+ (* 1/3 (pow B 2)) (/ 1 x))) (+ 1 (* 1/6 (/ (pow B 2) x))))) |
(* x (- (+ (* 1/12 (/ (pow B 2) (pow x 2))) (+ (* 1/3 (/ (pow B 2) x)) (+ (* 1/3 (pow B 2)) (/ 1 x)))) (+ 1 (+ (* 1/6 (/ (pow B 2) x)) (+ (* 3 (/ (* (- (* 1/6 (pow B 2)) 1) (- (+ 1 (* 1/3 (pow B 2))) (* 1/6 (pow B 2)))) (* (pow B 2) (pow x 2)))) (* 3 (/ 1 (* (pow B 2) (pow x 2))))))))) |
(* x (- (+ (* 1/12 (/ (pow B 2) (pow x 2))) (+ (* 1/3 (/ (pow B 2) x)) (+ (* 1/3 (pow B 2)) (+ (* 9 (/ (- (* 1/6 (pow B 2)) 1) (* (pow B 4) (pow x 3)))) (/ 1 x))))) (+ 1 (+ (* 1/6 (/ (pow B 2) x)) (+ (* 3 (/ (* (- (* 1/12 (pow B 2)) (* 3 (/ (* (- (* 1/6 (pow B 2)) 1) (- (+ 1 (* 1/3 (pow B 2))) (* 1/6 (pow B 2)))) (pow B 2)))) (- (* 1/6 (pow B 2)) 1)) (* (pow B 2) (pow x 3)))) (+ (* 3 (/ (* (- (* 1/6 (pow B 2)) 1) (- (+ 1 (* 1/3 (pow B 2))) (* 1/6 (pow B 2)))) (* (pow B 2) (pow x 2)))) (* 3 (/ 1 (* (pow B 2) (pow x 2)))))))))) |
(* -1 (* x (+ 1 (* -1/3 (pow B 2))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (- (+ 1 (* 1/3 (pow B 2))) (* 1/6 (pow B 2))) x)) (* -1/3 (pow B 2)))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (- (+ 1 (+ (* -1 (/ (- (+ (* -1/12 (pow B 2)) (* 3 (/ 1 (pow B 2)))) (* -3 (/ (* (- (* 1/6 (pow B 2)) 1) (- (+ 1 (* 1/3 (pow B 2))) (* 1/6 (pow B 2)))) (pow B 2)))) x)) (* 1/3 (pow B 2)))) (* 1/6 (pow B 2))) x)) (* -1/3 (pow B 2)))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (- (+ 1 (+ (* -1 (/ (- (+ (* -1 (/ (- (* 9 (/ (- (* 1/6 (pow B 2)) 1) (pow B 4))) (* -3 (/ (* (- (* -1/12 (pow B 2)) (* -3 (/ (* (- (* 1/6 (pow B 2)) 1) (- (+ 1 (* 1/3 (pow B 2))) (* 1/6 (pow B 2)))) (pow B 2)))) (- (* 1/6 (pow B 2)) 1)) (pow B 2)))) x)) (+ (* -1/12 (pow B 2)) (* 3 (/ 1 (pow B 2))))) (* -3 (/ (* (- (* 1/6 (pow B 2)) 1) (- (+ 1 (* 1/3 (pow B 2))) (* 1/6 (pow B 2)))) (pow B 2)))) x)) (* 1/3 (pow B 2)))) (* 1/6 (pow B 2))) x)) (* -1/3 (pow B 2)))))) |
(/ (- 1 x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(/ 1 (sin B)) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(/ (- 1 x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (pow (+ 1/6 (* 1/3 x)) 2)) (pow (+ 1/6 (* 1/3 x)) 2))))))) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (pow (+ 1/6 (* 1/3 x)) 2)) (pow (+ 1/6 (* 1/3 x)) 2))))))) x) B) |
(* B (+ 1/6 (* 1/3 x))) |
(* B (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2)))) |
(* B (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2)))) |
(* B (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2)))) |
(* B (+ 1/6 (* 1/3 x))) |
(* -1 (* B (+ (* -1 (+ 1/6 (* 1/3 x))) (* -1 (/ (- 1 x) (pow B 2)))))) |
(* -1 (* B (+ (* -1 (+ 1/6 (* 1/3 x))) (* -1 (/ (- 1 x) (pow B 2)))))) |
(* -1 (* B (+ (* -1 (+ 1/6 (* 1/3 x))) (* -1 (/ (- 1 x) (pow B 2)))))) |
(/ (- (* 1/36 (/ (pow B 4) (- (* 1/6 (pow B 2)) 1))) (/ 1 (- (* 1/6 (pow B 2)) 1))) B) |
(- (+ (* 1/36 (/ (pow B 3) (- (* 1/6 (pow B 2)) 1))) (* x (- (+ (* 1/9 (/ (pow B 3) (- (* 1/6 (pow B 2)) 1))) (* 1/3 (/ B (pow (- (* 1/6 (pow B 2)) 1) 2)))) (+ (* 1/108 (/ (pow B 5) (pow (- (* 1/6 (pow B 2)) 1) 2))) (/ 1 B))))) (/ 1 (* B (- (* 1/6 (pow B 2)) 1)))) |
(- (+ (* 1/36 (/ (pow B 3) (- (* 1/6 (pow B 2)) 1))) (* x (- (+ (* 1/9 (/ (pow B 3) (- (* 1/6 (pow B 2)) 1))) (+ (* 1/3 (/ B (pow (- (* 1/6 (pow B 2)) 1) 2))) (* x (- (+ (* -1/9 (/ (pow B 3) (pow (- (* 1/6 (pow B 2)) 1) 3))) (* 1/9 (/ (pow B 3) (- (* 1/6 (pow B 2)) 1)))) (* 1/3 (/ (* B (- (* 1/9 (/ (pow B 4) (- (* 1/6 (pow B 2)) 1))) (* 1/108 (/ (pow B 6) (pow (- (* 1/6 (pow B 2)) 1) 2))))) (- (* 1/6 (pow B 2)) 1))))))) (+ (* 1/108 (/ (pow B 5) (pow (- (* 1/6 (pow B 2)) 1) 2))) (/ 1 B))))) (/ 1 (* B (- (* 1/6 (pow B 2)) 1)))) |
(- (+ (* 1/36 (/ (pow B 3) (- (* 1/6 (pow B 2)) 1))) (* x (- (+ (* 1/9 (/ (pow B 3) (- (* 1/6 (pow B 2)) 1))) (+ (* 1/3 (/ B (pow (- (* 1/6 (pow B 2)) 1) 2))) (* x (- (+ (* -1/9 (/ (pow B 3) (pow (- (* 1/6 (pow B 2)) 1) 3))) (+ (* 1/9 (/ (pow B 3) (- (* 1/6 (pow B 2)) 1))) (* x (- (* 1/27 (/ (pow B 5) (pow (- (* 1/6 (pow B 2)) 1) 4))) (* 1/3 (/ (* B (- (* 1/9 (/ (pow B 4) (- (* 1/6 (pow B 2)) 1))) (* 1/3 (/ (* (pow B 2) (- (* 1/9 (/ (pow B 4) (- (* 1/6 (pow B 2)) 1))) (* 1/108 (/ (pow B 6) (pow (- (* 1/6 (pow B 2)) 1) 2))))) (- (* 1/6 (pow B 2)) 1))))) (- (* 1/6 (pow B 2)) 1))))))) (* 1/3 (/ (* B (- (* 1/9 (/ (pow B 4) (- (* 1/6 (pow B 2)) 1))) (* 1/108 (/ (pow B 6) (pow (- (* 1/6 (pow B 2)) 1) 2))))) (- (* 1/6 (pow B 2)) 1))))))) (+ (* 1/108 (/ (pow B 5) (pow (- (* 1/6 (pow B 2)) 1) 2))) (/ 1 B))))) (/ 1 (* B (- (* 1/6 (pow B 2)) 1)))) |
(/ (* x (- (* 1/3 (pow B 2)) 1)) B) |
(* x (- (+ (* 1/3 B) (+ (* 1/3 (/ B x)) (/ 1 (* B x)))) (+ (* 1/6 (/ B x)) (/ 1 B)))) |
(* x (- (+ (* 1/12 (/ B (pow x 2))) (+ (* 1/3 B) (+ (* 1/3 (/ B x)) (/ 1 (* B x))))) (+ (* 1/6 (/ B x)) (+ (* 3 (/ (* (- (* 1/6 (pow B 2)) 1) (- (+ 1 (* 1/3 (pow B 2))) (* 1/6 (pow B 2)))) (* (pow B 3) (pow x 2)))) (+ (/ 1 B) (* 3 (/ 1 (* (pow B 3) (pow x 2))))))))) |
(* x (- (+ (* 1/12 (/ B (pow x 2))) (+ (* 1/3 B) (+ (* 1/3 (/ B x)) (+ (* 9 (/ (- (* 1/6 (pow B 2)) 1) (* (pow B 5) (pow x 3)))) (/ 1 (* B x)))))) (+ (* 1/6 (/ B x)) (+ (* 3 (/ (* (- (* 1/12 (pow B 2)) (* 3 (/ (* (- (* 1/6 (pow B 2)) 1) (- (+ 1 (* 1/3 (pow B 2))) (* 1/6 (pow B 2)))) (pow B 2)))) (- (* 1/6 (pow B 2)) 1)) (* (pow B 3) (pow x 3)))) (+ (* 3 (/ (* (- (* 1/6 (pow B 2)) 1) (- (+ 1 (* 1/3 (pow B 2))) (* 1/6 (pow B 2)))) (* (pow B 3) (pow x 2)))) (+ (/ 1 B) (* 3 (/ 1 (* (pow B 3) (pow x 2)))))))))) |
(* -1 (/ (* x (+ 1 (* -1/3 (pow B 2)))) B)) |
(* -1 (* x (+ (* -1 (/ (- (+ (* 1/3 B) (/ 1 B)) (* 1/6 B)) x)) (+ (* -1/3 B) (/ 1 B))))) |
(* -1 (* x (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/12 B) (* 3 (/ 1 (pow B 3)))) (* -3 (/ (* (- (* 1/6 (pow B 2)) 1) (- (+ 1 (* 1/3 (pow B 2))) (* 1/6 (pow B 2)))) (pow B 3)))) x)) (+ (* 1/3 B) (/ 1 B))) (* 1/6 B)) x)) (+ (* -1/3 B) (/ 1 B))))) |
(* -1 (* x (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 9 (/ (- (* 1/6 (pow B 2)) 1) (pow B 5))) (* -3 (/ (* (- (* -1/12 (pow B 2)) (* -3 (/ (* (- (* 1/6 (pow B 2)) 1) (- (+ 1 (* 1/3 (pow B 2))) (* 1/6 (pow B 2)))) (pow B 2)))) (- (* 1/6 (pow B 2)) 1)) (pow B 3)))) x)) (+ (* -1/12 B) (* 3 (/ 1 (pow B 3))))) (* -3 (/ (* (- (* 1/6 (pow B 2)) 1) (- (+ 1 (* 1/3 (pow B 2))) (* 1/6 (pow B 2)))) (pow B 3)))) x)) (+ (* 1/3 B) (/ 1 B))) (* 1/6 B)) x)) (+ (* -1/3 B) (/ 1 B))))) |
-1 |
(- (* (pow B 4) (pow (+ 1/6 (* 1/3 x)) 2)) 1) |
(- (* (pow B 4) (pow (+ 1/6 (* 1/3 x)) 2)) 1) |
(- (* (pow B 4) (pow (+ 1/6 (* 1/3 x)) 2)) 1) |
(* (pow B 4) (pow (+ 1/6 (* 1/3 x)) 2)) |
(* (pow B 4) (- (pow (+ 1/6 (* 1/3 x)) 2) (/ 1 (pow B 4)))) |
(* (pow B 4) (- (pow (+ 1/6 (* 1/3 x)) 2) (/ 1 (pow B 4)))) |
(* (pow B 4) (- (pow (+ 1/6 (* 1/3 x)) 2) (/ 1 (pow B 4)))) |
(* (pow B 4) (pow (+ 1/6 (* 1/3 x)) 2)) |
(* (pow B 4) (- (pow (+ 1/6 (* 1/3 x)) 2) (/ 1 (pow B 4)))) |
(* (pow B 4) (- (pow (+ 1/6 (* 1/3 x)) 2) (/ 1 (pow B 4)))) |
(* (pow B 4) (- (pow (+ 1/6 (* 1/3 x)) 2) (/ 1 (pow B 4)))) |
(- (* 1/36 (pow B 4)) 1) |
(- (+ (* 1/36 (pow B 4)) (* 1/9 (* (pow B 4) x))) 1) |
(- (+ (* 1/36 (pow B 4)) (* x (+ (* 1/9 (* (pow B 4) x)) (* 1/9 (pow B 4))))) 1) |
(- (+ (* 1/36 (pow B 4)) (* x (+ (* 1/9 (* (pow B 4) x)) (* 1/9 (pow B 4))))) 1) |
(* 1/9 (* (pow B 4) (pow x 2))) |
(* (pow x 2) (+ (* 1/9 (/ (pow B 4) x)) (* 1/9 (pow B 4)))) |
(* (pow x 2) (- (+ (* 1/36 (/ (pow B 4) (pow x 2))) (+ (* 1/9 (/ (pow B 4) x)) (* 1/9 (pow B 4)))) (/ 1 (pow x 2)))) |
(* (pow x 2) (- (+ (* 1/36 (/ (pow B 4) (pow x 2))) (+ (* 1/9 (/ (pow B 4) x)) (* 1/9 (pow B 4)))) (/ 1 (pow x 2)))) |
(* 1/9 (* (pow B 4) (pow x 2))) |
(* (pow x 2) (+ (* 1/9 (/ (pow B 4) x)) (* 1/9 (pow B 4)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (- (* 1/36 (pow B 4)) 1) x)) (* -1/9 (pow B 4))) x)) (* 1/9 (pow B 4)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (- (* 1/36 (pow B 4)) 1) x)) (* -1/9 (pow B 4))) x)) (* 1/9 (pow B 4)))) |
B |
(* B (+ 1 (* -1/6 (pow B 2)))) |
(* B (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6)))) |
(* B (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/120 (* -1/5040 (pow B 2)))) 1/6)))) |
(sin B) |
(sin B) |
(sin B) |
(sin B) |
(sin B) |
(sin B) |
(sin B) |
(sin B) |
(* -1/6 B) |
(* B (- (* 1/120 (pow B 2)) 1/6)) |
(* B (- (* 1/120 (pow B 2)) 1/6)) |
(* B (- (* 1/120 (pow B 2)) 1/6)) |
(* 1/120 (pow B 3)) |
(* (pow B 3) (- 1/120 (* 1/6 (/ 1 (pow B 2))))) |
(* (pow B 3) (- 1/120 (* 1/6 (/ 1 (pow B 2))))) |
(* (pow B 3) (- 1/120 (* 1/6 (/ 1 (pow B 2))))) |
(* 1/120 (pow B 3)) |
(* -1 (* (pow B 3) (- (* 1/6 (/ 1 (pow B 2))) 1/120))) |
(* -1 (* (pow B 3) (- (* 1/6 (/ 1 (pow B 2))) 1/120))) |
(* -1 (* (pow B 3) (- (* 1/6 (/ 1 (pow B 2))) 1/120))) |
(* (pow B 2) (+ 1/6 (* 1/3 x))) |
(* (pow B 2) (+ 1/6 (* 1/3 x))) |
(* (pow B 2) (+ 1/6 (* 1/3 x))) |
(* (pow B 2) (+ 1/6 (* 1/3 x))) |
(* (pow B 2) (+ 1/6 (* 1/3 x))) |
(* (pow B 2) (+ 1/6 (* 1/3 x))) |
(* (pow B 2) (+ 1/6 (* 1/3 x))) |
(* (pow B 2) (+ 1/6 (* 1/3 x))) |
(* (pow B 2) (+ 1/6 (* 1/3 x))) |
(* (pow B 2) (+ 1/6 (* 1/3 x))) |
(* (pow B 2) (+ 1/6 (* 1/3 x))) |
(* (pow B 2) (+ 1/6 (* 1/3 x))) |
(* 1/6 (pow B 2)) |
(+ (* 1/6 (pow B 2)) (* 1/3 (* (pow B 2) x))) |
(+ (* 1/6 (pow B 2)) (* 1/3 (* (pow B 2) x))) |
(+ (* 1/6 (pow B 2)) (* 1/3 (* (pow B 2) x))) |
(* 1/3 (* (pow B 2) x)) |
(* x (+ (* 1/6 (/ (pow B 2) x)) (* 1/3 (pow B 2)))) |
(* x (+ (* 1/6 (/ (pow B 2) x)) (* 1/3 (pow B 2)))) |
(* x (+ (* 1/6 (/ (pow B 2) x)) (* 1/3 (pow B 2)))) |
(* 1/3 (* (pow B 2) x)) |
(* -1 (* x (+ (* -1/3 (pow B 2)) (* -1/6 (/ (pow B 2) x))))) |
(* -1 (* x (+ (* -1/3 (pow B 2)) (* -1/6 (/ (pow B 2) x))))) |
(* -1 (* x (+ (* -1/3 (pow B 2)) (* -1/6 (/ (pow B 2) x))))) |
| Outputs |
|---|
(/ (+ 1 (* -1 x)) B) |
(/.f64 (-.f64 #s(literal 1 binary64) x) B) |
(/ (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/6 (* 1/3 x))))) B) |
(/.f64 (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(/ (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x))))))))) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(/ (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x)))))))))))))) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/105 binary64) (fma.f64 x #s(literal -1/135 binary64) #s(literal 31/15120 binary64))) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(/ 1 (sin B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
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(- (+ (* 1/36 (pow B 4)) (* x (+ (* 1/9 (* (pow B 4) x)) (* 1/9 (pow B 4))))) 1) |
(fma.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 B B) (*.f64 B B))) (fma.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/36 binary64) #s(literal -1 binary64))) |
(* 1/9 (* (pow B 4) (pow x 2))) |
(*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) (*.f64 #s(literal 1/9 binary64) (*.f64 x x))) |
(* (pow x 2) (+ (* 1/9 (/ (pow B 4) x)) (* 1/9 (pow B 4)))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (fma.f64 (*.f64 B B) (*.f64 B B) (/.f64 (*.f64 (*.f64 B B) (*.f64 B B)) x))) |
(* (pow x 2) (- (+ (* 1/36 (/ (pow B 4) (pow x 2))) (+ (* 1/9 (/ (pow B 4) x)) (* 1/9 (pow B 4)))) (/ 1 (pow x 2)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 B B) (*.f64 B B)) (/.f64 #s(literal 1/36 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 B B) (*.f64 B B) (/.f64 (*.f64 (*.f64 B B) (*.f64 B B)) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))) |
(* (pow x 2) (- (+ (* 1/36 (/ (pow B 4) (pow x 2))) (+ (* 1/9 (/ (pow B 4) x)) (* 1/9 (pow B 4)))) (/ 1 (pow x 2)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 B B) (*.f64 B B)) (/.f64 #s(literal 1/36 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 B B) (*.f64 B B) (/.f64 (*.f64 (*.f64 B B) (*.f64 B B)) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))) |
(* 1/9 (* (pow B 4) (pow x 2))) |
(*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) (*.f64 #s(literal 1/9 binary64) (*.f64 x x))) |
(* (pow x 2) (+ (* 1/9 (/ (pow B 4) x)) (* 1/9 (pow B 4)))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (fma.f64 (*.f64 B B) (*.f64 B B) (/.f64 (*.f64 (*.f64 B B) (*.f64 B B)) x))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (- (* 1/36 (pow B 4)) 1) x)) (* -1/9 (pow B 4))) x)) (* 1/9 (pow B 4)))) |
(*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/9 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 B B) (*.f64 B B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/36 binary64) #s(literal -1 binary64)) x)) x))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (- (* 1/36 (pow B 4)) 1) x)) (* -1/9 (pow B 4))) x)) (* 1/9 (pow B 4)))) |
(*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/9 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 B B) (*.f64 B B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/36 binary64) #s(literal -1 binary64)) x)) x))) |
B |
(* B (+ 1 (* -1/6 (pow B 2)))) |
(fma.f64 B (*.f64 B (*.f64 B #s(literal -1/6 binary64))) B) |
(* B (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6)))) |
(fma.f64 (fma.f64 B (*.f64 B #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 B (*.f64 B B)) B) |
(* B (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/120 (* -1/5040 (pow B 2)))) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 B (*.f64 B B)) B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(* -1/6 B) |
(*.f64 B #s(literal -1/6 binary64)) |
(* B (- (* 1/120 (pow B 2)) 1/6)) |
(*.f64 B (fma.f64 B (*.f64 B #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(* B (- (* 1/120 (pow B 2)) 1/6)) |
(*.f64 B (fma.f64 B (*.f64 B #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(* B (- (* 1/120 (pow B 2)) 1/6)) |
(*.f64 B (fma.f64 B (*.f64 B #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(* 1/120 (pow B 3)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 B (*.f64 B B))) |
(* (pow B 3) (- 1/120 (* 1/6 (/ 1 (pow B 2))))) |
(*.f64 (*.f64 B B) (*.f64 B (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 B B))))) |
(* (pow B 3) (- 1/120 (* 1/6 (/ 1 (pow B 2))))) |
(*.f64 (*.f64 B B) (*.f64 B (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 B B))))) |
(* (pow B 3) (- 1/120 (* 1/6 (/ 1 (pow B 2))))) |
(*.f64 (*.f64 B B) (*.f64 B (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 B B))))) |
(* 1/120 (pow B 3)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 B (*.f64 B B))) |
(* -1 (* (pow B 3) (- (* 1/6 (/ 1 (pow B 2))) 1/120))) |
(*.f64 (*.f64 B B) (*.f64 B (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 B B))))) |
(* -1 (* (pow B 3) (- (* 1/6 (/ 1 (pow B 2))) 1/120))) |
(*.f64 (*.f64 B B) (*.f64 B (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 B B))))) |
(* -1 (* (pow B 3) (- (* 1/6 (/ 1 (pow B 2))) 1/120))) |
(*.f64 (*.f64 B B) (*.f64 B (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 B B))))) |
(* (pow B 2) (+ 1/6 (* 1/3 x))) |
(*.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) |
(* (pow B 2) (+ 1/6 (* 1/3 x))) |
(*.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) |
(* (pow B 2) (+ 1/6 (* 1/3 x))) |
(*.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) |
(* (pow B 2) (+ 1/6 (* 1/3 x))) |
(*.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) |
(* (pow B 2) (+ 1/6 (* 1/3 x))) |
(*.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) |
(* (pow B 2) (+ 1/6 (* 1/3 x))) |
(*.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) |
(* (pow B 2) (+ 1/6 (* 1/3 x))) |
(*.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) |
(* (pow B 2) (+ 1/6 (* 1/3 x))) |
(*.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) |
(* (pow B 2) (+ 1/6 (* 1/3 x))) |
(*.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) |
(* (pow B 2) (+ 1/6 (* 1/3 x))) |
(*.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) |
(* (pow B 2) (+ 1/6 (* 1/3 x))) |
(*.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) |
(* (pow B 2) (+ 1/6 (* 1/3 x))) |
(*.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) |
(* 1/6 (pow B 2)) |
(*.f64 (*.f64 B B) #s(literal 1/6 binary64)) |
(+ (* 1/6 (pow B 2)) (* 1/3 (* (pow B 2) x))) |
(*.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) |
(+ (* 1/6 (pow B 2)) (* 1/3 (* (pow B 2) x))) |
(*.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) |
(+ (* 1/6 (pow B 2)) (* 1/3 (* (pow B 2) x))) |
(*.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) |
(* 1/3 (* (pow B 2) x)) |
(*.f64 B (*.f64 x (*.f64 B #s(literal 1/3 binary64)))) |
(* x (+ (* 1/6 (/ (pow B 2) x)) (* 1/3 (pow B 2)))) |
(*.f64 x (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) (/.f64 (*.f64 (*.f64 B B) #s(literal 1/6 binary64)) x))) |
(* x (+ (* 1/6 (/ (pow B 2) x)) (* 1/3 (pow B 2)))) |
(*.f64 x (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) (/.f64 (*.f64 (*.f64 B B) #s(literal 1/6 binary64)) x))) |
(* x (+ (* 1/6 (/ (pow B 2) x)) (* 1/3 (pow B 2)))) |
(*.f64 x (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) (/.f64 (*.f64 (*.f64 B B) #s(literal 1/6 binary64)) x))) |
(* 1/3 (* (pow B 2) x)) |
(*.f64 B (*.f64 x (*.f64 B #s(literal 1/3 binary64)))) |
(* -1 (* x (+ (* -1/3 (pow B 2)) (* -1/6 (/ (pow B 2) x))))) |
(*.f64 x (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) (/.f64 (*.f64 (*.f64 B B) #s(literal 1/6 binary64)) x))) |
(* -1 (* x (+ (* -1/3 (pow B 2)) (* -1/6 (/ (pow B 2) x))))) |
(*.f64 x (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) (/.f64 (*.f64 (*.f64 B B) #s(literal 1/6 binary64)) x))) |
(* -1 (* x (+ (* -1/3 (pow B 2)) (* -1/6 (/ (pow B 2) x))))) |
(*.f64 x (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) (/.f64 (*.f64 (*.f64 B B) #s(literal 1/6 binary64)) x))) |
| 5 850× | lower-*.f32 |
| 5 838× | lower-*.f64 |
| 3 522× | lower-fma.f32 |
| 3 506× | lower-fma.f64 |
| 3 290× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 391 |
| 0 | 85 | 346 |
| 1 | 360 | 317 |
| 2 | 2936 | 317 |
| 0 | 8617 | 304 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 #s(literal -1 binary64) (tan.f64 B)) |
(tan.f64 B) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))))) |
#s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) |
(*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)))) B)) |
(/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)))) B) |
#s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)))) |
(*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) #s(approx (sin B) (fma.f64 (*.f64 B B) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B) B)))) |
(/.f64 #s(literal 1 binary64) #s(approx (sin B) (fma.f64 (*.f64 B B) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B) B))) |
#s(approx (sin B) (fma.f64 (*.f64 B B) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B) B)) |
(fma.f64 (*.f64 B B) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B) B) |
(fma.f64 (fma.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) B)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) B) |
(fma.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) |
(sin.f64 B) |
(*.f64 (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B) |
(*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(-.f64 (/.f64 (tan.f64 B) (*.f64 (tan.f64 B) (sin.f64 B))) (/.f64 (*.f64 x (sin.f64 B)) (*.f64 (tan.f64 B) (sin.f64 B)))) |
(-.f64 (/.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))))) (/.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)) (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))) (/.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)) (/.f64 x (tan.f64 B))) |
(fma.f64 #s(literal -1 binary64) (/.f64 x (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 B))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 x (/.f64 #s(literal -1 binary64) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 1 binary64) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 (/.f64 x (tan.f64 B)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (cos.f64 B) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 B) (sin.f64 B)) (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) (sin.f64 B))) (+.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))))) (+.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (-.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)))))) |
(/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (*.f64 (tan.f64 B) (sin.f64 B))) |
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(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (tan.f64 B)))) (*.f64 (neg.f64 (neg.f64 (sin.f64 B))) (neg.f64 (neg.f64 x)))) (*.f64 (neg.f64 (neg.f64 (sin.f64 B))) (neg.f64 (neg.f64 (tan.f64 B))))) |
(/.f64 (-.f64 (*.f64 (tan.f64 B) (*.f64 (tan.f64 B) (sin.f64 B))) (*.f64 (*.f64 (tan.f64 B) (sin.f64 B)) (*.f64 x (sin.f64 B)))) (*.f64 (*.f64 (tan.f64 B) (sin.f64 B)) (*.f64 (tan.f64 B) (sin.f64 B)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))))) (*.f64 (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))))) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))))) (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) (*.f64 (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))))) (*.f64 (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))))) |
(pow.f64 (/.f64 (*.f64 (tan.f64 B) (sin.f64 B)) (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) (sin.f64 B))) (+.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))))) (+.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (-.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))))) #s(literal -1 binary64)) |
(*.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 B) (sin.f64 B)))) |
(*.f64 (+.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) (sin.f64 B))))) |
(*.f64 (+.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))))))) |
(*.f64 (-.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (tan.f64 B))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 B) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(/.f64 #s(literal -1 binary64) (tan.f64 B)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (tan.f64 B)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (tan.f64 B) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 B))) |
(/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 B) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 B) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(pow.f64 (neg.f64 (tan.f64 B)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (tan.f64 B) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (tan.f64 B) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 B))) |
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (cos.f64 B)) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (tan.f64 B)) #s(literal -1 binary64)))) |
(tan.f64 B) |
(/.f64 (tan.f64 B) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (sin.f64 B))) |
(/.f64 (sin.f64 B) (cos.f64 B)) |
(/.f64 (sin.f64 B) (*.f64 #s(literal 1 binary64) (cos.f64 B))) |
(/.f64 (neg.f64 (sin.f64 B)) (neg.f64 (cos.f64 B))) |
(/.f64 (neg.f64 (tan.f64 B)) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 B)) (cos.f64 B)) |
(pow.f64 (tan.f64 B) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (cos.f64 B) (sin.f64 B)) #s(literal -1 binary64)) |
(*.f64 (tan.f64 B) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (tan.f64 B)) |
(*.f64 (sin.f64 B) (/.f64 #s(literal 1 binary64) (cos.f64 B))) |
(exp.f64 (neg.f64 (log.f64 (sin.f64 B)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 B))) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sin.f64 B)))) |
(pow.f64 (sin.f64 B) #s(literal -1 binary64)) |
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(pow.f64 (neg.f64 (neg.f64 (sin.f64 B))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 B)))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))))) |
#s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) |
(+.f64 (*.f64 B (*.f64 x #s(literal 1/3 binary64))) (*.f64 B #s(literal 1/6 binary64))) |
(+.f64 (*.f64 B #s(literal 1/6 binary64)) (*.f64 B (*.f64 x #s(literal 1/3 binary64)))) |
(fma.f64 B (*.f64 x #s(literal 1/3 binary64)) (*.f64 B #s(literal 1/6 binary64))) |
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(pow.f64 (/.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B))) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B)) (*.f64 (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B)) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B))))) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B)) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B)) (*.f64 (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B)) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B))))) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B))) (*.f64 (*.f64 B B) #s(literal -1 binary64)))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B)) (*.f64 (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B)) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B))) #s(literal 1 binary64)))) |
(exp.f64 (log.f64 (sin.f64 B))) |
(sin.f64 B) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 (sin.f64 B) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (sin.f64 B)) #s(literal -1 binary64)) |
(pow.f64 (sin.f64 B) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal -1 binary64)) |
(*.f64 (sin.f64 B) #s(literal 1 binary64)) |
(+.f64 (*.f64 B #s(literal -1/6 binary64)) (*.f64 B (*.f64 B (*.f64 B #s(literal 1/120 binary64))))) |
(+.f64 (*.f64 B (*.f64 B (*.f64 B #s(literal 1/120 binary64)))) (*.f64 B #s(literal -1/6 binary64))) |
(+.f64 (*.f64 #s(literal -1/6 binary64) B) (*.f64 (*.f64 B (*.f64 B #s(literal 1/120 binary64))) B)) |
(+.f64 (*.f64 (*.f64 B (*.f64 B #s(literal 1/120 binary64))) B) (*.f64 #s(literal -1/6 binary64) B)) |
(fma.f64 B #s(literal -1/6 binary64) (*.f64 B (*.f64 B (*.f64 B #s(literal 1/120 binary64))))) |
(fma.f64 B (*.f64 B (*.f64 B #s(literal 1/120 binary64))) (*.f64 B #s(literal -1/6 binary64))) |
(fma.f64 #s(literal -1/6 binary64) B (*.f64 (*.f64 B (*.f64 B #s(literal 1/120 binary64))) B)) |
(fma.f64 (*.f64 B (*.f64 B #s(literal 1/120 binary64))) B (*.f64 #s(literal -1/6 binary64) B)) |
(/.f64 (*.f64 B (fma.f64 (*.f64 B (*.f64 B B)) (*.f64 (*.f64 B (*.f64 B B)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64))) (-.f64 (fma.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/14400 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 B B) #s(literal -1/720 binary64)))) |
(/.f64 (*.f64 B (fma.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))) (fma.f64 B (*.f64 B #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 B (*.f64 B B)) (*.f64 (*.f64 B (*.f64 B B)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)) B) (-.f64 (fma.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/14400 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 B B) #s(literal -1/720 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) B) (fma.f64 B (*.f64 B #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) |
(*.f64 (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B) |
(+.f64 (*.f64 B (*.f64 B (*.f64 x #s(literal 1/3 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 B B))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 B B)) (*.f64 B (*.f64 B (*.f64 x #s(literal 1/3 binary64))))) |
(fma.f64 B (*.f64 B (*.f64 x #s(literal 1/3 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 B B))) |
(fma.f64 B (*.f64 B #s(literal 1/6 binary64)) (*.f64 B (*.f64 B (*.f64 x #s(literal 1/3 binary64))))) |
(fma.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) (*.f64 #s(literal 1/6 binary64) (*.f64 B B))) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 B B)) (*.f64 #s(literal 1/6 binary64) (*.f64 B B))) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x) (*.f64 #s(literal 1/6 binary64) (*.f64 B B))) |
(fma.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 B B) (*.f64 #s(literal 1/6 binary64) (*.f64 B B))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 B B) (*.f64 B (*.f64 B (*.f64 x #s(literal 1/3 binary64))))) |
(fma.f64 (*.f64 B B) (*.f64 x #s(literal 1/3 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 B B))) |
(fma.f64 (*.f64 B B) #s(literal 1/6 binary64) (*.f64 B (*.f64 B (*.f64 x #s(literal 1/3 binary64))))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) x (*.f64 #s(literal 1/6 binary64) (*.f64 B B))) |
(fma.f64 (*.f64 B (*.f64 x #s(literal 1/3 binary64))) B (*.f64 #s(literal 1/6 binary64) (*.f64 B B))) |
(fma.f64 (*.f64 B #s(literal 1/6 binary64)) B (*.f64 B (*.f64 B (*.f64 x #s(literal 1/3 binary64))))) |
(fma.f64 (*.f64 x B) (*.f64 B #s(literal 1/3 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 B B))) |
(fma.f64 (*.f64 x (*.f64 B B)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 B B))) |
(fma.f64 (*.f64 (*.f64 B B) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 B B))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64)) (*.f64 (*.f64 B (*.f64 B B)) (*.f64 B (*.f64 B B))) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 B (*.f64 B B)) (*.f64 B (*.f64 B B))))) (fma.f64 (*.f64 B (*.f64 B (*.f64 x #s(literal 1/3 binary64)))) (*.f64 B (*.f64 B (*.f64 x #s(literal 1/3 binary64)))) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 B B)) (*.f64 #s(literal 1/6 binary64) (*.f64 B B))) (*.f64 (*.f64 B (*.f64 B (*.f64 x #s(literal 1/3 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 B B)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 B (*.f64 B (*.f64 x #s(literal 1/3 binary64)))) (*.f64 B (*.f64 B (*.f64 x #s(literal 1/3 binary64))))) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 B B)) (*.f64 #s(literal 1/6 binary64) (*.f64 B B)))) (-.f64 (*.f64 B (*.f64 B (*.f64 x #s(literal 1/3 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 B B)))) |
(/.f64 (*.f64 (*.f64 B B) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/36 binary64)) (*.f64 x #s(literal 1/18 binary64)))) |
(/.f64 (*.f64 (*.f64 B B) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/36 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/216 binary64)) (*.f64 B B)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/36 binary64)) (*.f64 x #s(literal 1/18 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/36 binary64)) (*.f64 B B)) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64))) |
(*.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) |
(*.f64 B (*.f64 (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B))) |
(*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B)) |
(*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) #s(literal 1 binary64))) |
(*.f64 (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) B) |
(*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B)) #s(literal 1 binary64)) |
Compiled 26 523 to 2 130 computations (92% saved)
63 alts after pruning (53 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 959 | 26 | 985 |
| Fresh | 12 | 27 | 39 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 6 | 6 |
| Total | 972 | 63 | 1 035 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.7% | (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 76.5% | (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) | |
| 39.5% | (/.f64 (fma.f64 (sin.f64 B) x (tan.f64 B)) (*.f64 (sin.f64 B) (tan.f64 B))) | |
| 99.7% | (/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 (sin.f64 B) x)) (sin.f64 B)) (tan.f64 B)) | |
| ✓ | 99.8% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
| 77.3% | (/.f64 #s(approx (- 1 (* x (cos B))) (-.f64 #s(literal 1 binary64) x)) (sin.f64 B)) | |
| 49.2% | (/.f64 #s(approx (- 1 (* x (cos B))) (neg.f64 (*.f64 x (cos.f64 B)))) (sin.f64 B)) | |
| ✓ | 99.8% | (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
| 76.5% | (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B))) | |
| 76.5% | (+.f64 (neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) | |
| 48.5% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 B (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B)))) B #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) B)) | |
| 47.7% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) #s(approx (+ (* x 1/3) 1/6) (*.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64))) (neg.f64 x)) B)) | |
| 48.3% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) #s(approx (+ (* x 1/3) 1/6) (*.f64 x #s(literal 1/3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) B)) | |
| 52.8% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) | |
| 52.7% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) | |
| 51.9% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 #s(approx (+ (* (* B B) (* (+ (* x 1/3) 1/6) (* (* B B) (+ (* x 1/3) 1/6)))) -1) (fma.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/36 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) B)) | |
| 52.2% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) #s(approx (+ (* x 1/3) 1/6) (*.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)) x) B)) | |
| 52.8% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) #s(approx (+ (* x 1/3) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B)) | |
| 48.5% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) x) B)) | |
| 38.0% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B) (*.f64 B x)) (*.f64 B B))) | |
| 40.4% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 B x)) (*.f64 (/.f64 B (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 B (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64))) (/.f64 B x)))) | |
| 24.9% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 (*.f64 x (*.f64 B B)) #s(literal 1/3 binary64))) x) B)) | |
| 47.9% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (*.f64 (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B) x))) (*.f64 B (+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B) x))))) | |
| 25.1% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (fma.f64 (*.f64 x B) (*.f64 B #s(literal 1/3 binary64)) (neg.f64 x))) B)) | |
| 29.7% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) B)) | |
| 24.2% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/9 binary64) #s(literal -1 binary64)) x) (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)))) B)) | |
| 24.9% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal -1 binary64)) x)) B)) | |
| ✓ | 24.9% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)))) B)) |
| 25.2% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) #s(approx (* x (+ (* (* B B) 1/3) -1)) (neg.f64 x))) B)) | |
| 52.1% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* B B) (* (+ (* x 1/3) 1/6) (* (* B B) (+ (* x 1/3) 1/6)))) -1) (/ 1 (+ (* (* B B) (+ (* x 1/3) 1/6)) -1))) (neg x)) (*.f64 x (+.f64 (fma.f64 #s(literal 1/3 binary64) (fma.f64 B (/.f64 B x) (*.f64 B B)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 B B) (/.f64 #s(literal -1/6 binary64) x) #s(literal -1 binary64))))) B)) | |
| 24.9% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 x (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal -1 binary64))))))) | |
| 49.1% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) | |
| 87.6% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 B))) (/.f64 (cos.f64 B) (sin.f64 B))))) | |
| 3.1% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (*.f64 B #s(literal 1/6 binary64))))) | |
| 52.7% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (fma.f64 x (fma.f64 B #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) B)) (fma.f64 B #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) B))))) | |
| 52.7% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (fma.f64 x (*.f64 B (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) | |
| ✓ | 3.1% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))))) |
| 3.0% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/36 binary64))))))) | |
| 3.1% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1/6 binary64))))) | |
| 2.5% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B #s(approx (+ (* x 1/3) 1/6) (*.f64 x #s(literal 1/3 binary64)))))) | |
| 3.4% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B #s(approx (+ (* x 1/3) 1/6) #s(literal 1/6 binary64))))) | |
| 3.0% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) #s(approx (* B (+ (* x 1/3) 1/6)) (*.f64 x (fma.f64 B #s(literal 1/3 binary64) (/.f64 (*.f64 B #s(literal 1/6 binary64)) x)))))) | |
| 2.5% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) #s(approx (* B (+ (* x 1/3) 1/6)) (*.f64 x (*.f64 B #s(literal 1/3 binary64)))))) | |
| 40.3% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (+ (* (+ (* (* B B) (* (+ (* x 1/3) 1/6) (* (* B B) (+ (* x 1/3) 1/6)))) -1) (/ 1 (+ (* (* B B) (+ (* x 1/3) 1/6)) -1))) (neg x)) B) (*.f64 x (+.f64 (fma.f64 #s(literal 1/3 binary64) (+.f64 B (/.f64 B x)) (/.f64 #s(literal 1 binary64) (*.f64 x B))) (fma.f64 B (/.f64 #s(literal -1/6 binary64) x) (/.f64 #s(literal -1 binary64) B)))))) | |
| 48.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) B)) | |
| 39.4% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (fma.f64 (neg.f64 x) (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) B)) | |
| 48.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B)) | |
| 52.4% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) B)) | |
| 32.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)))) | |
| 38.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 B (*.f64 B x)) (*.f64 B B))) | |
| 48.3% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 B x B))) | |
| ✓ | 52.4% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
| ✓ | 29.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) |
| 38.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 B B) (-.f64 B (*.f64 B x))))) | |
| ✓ | 52.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| ✓ | 29.8% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) #s(approx (sin B) (fma.f64 (*.f64 B B) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B) B)))) |
| 29.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) #s(approx (sin B) (fma.f64 B (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) B)))) | |
| 21.3% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) B) B) (*.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (/.f64 x B) (/.f64 x B)) (*.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 #s(literal 1 binary64) x))))) | |
| 46.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) B) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) | |
| 52.4% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x))) | |
| 29.8% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (pow (- 1/2 (* 1/2 (cos (* 2 B)))) -1/2) (/.f64 (fma.f64 B (*.f64 B (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B))) | |
| 22.1% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (pow (- 1/2 (* 1/2 (cos (* 2 B)))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) | |
| ✓ | 29.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B))) |
Compiled 2 651 to 940 computations (64.5% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B #s(approx (+ (* x 1/3) 1/6) #s(literal 1/6 binary64))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) #s(approx (* B (+ (* x 1/3) 1/6)) (*.f64 x (*.f64 B #s(literal 1/3 binary64)))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B #s(approx (+ (* x 1/3) 1/6) (*.f64 x #s(literal 1/3 binary64)))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1/6 binary64))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) #s(approx (* x (+ (* (* B B) 1/3) -1)) (neg.f64 x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (*.f64 B #s(literal 1/6 binary64))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 B (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 B x B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) #s(approx (+ (* x 1/3) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) #s(approx (sin B) (fma.f64 B (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) #s(approx (* B (+ (* x 1/3) 1/6)) (*.f64 x (fma.f64 B #s(literal 1/3 binary64) (/.f64 (*.f64 B #s(literal 1/6 binary64)) x)))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal -1 binary64)) x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (fma.f64 (*.f64 x B) (*.f64 B #s(literal 1/3 binary64)) (neg.f64 x))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 (*.f64 x (*.f64 B B)) #s(literal 1/3 binary64))) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) #s(approx (+ (* x 1/3) 1/6) (*.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (fma.f64 B #s(literal 1/6 binary64) (fma.f64 B (*.f64 x #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (pow (- 1/2 (* 1/2 (cos (* 2 B)))) -1/2) (/.f64 (fma.f64 B (*.f64 B (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 B B) (-.f64 B (*.f64 B x))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) B) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) #s(approx (sin B) (fma.f64 (*.f64 B B) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B) B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 x (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal -1 binary64))))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (fma.f64 x (*.f64 B (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (fma.f64 x (fma.f64 B #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) B)) (fma.f64 B #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (fma.f64 (neg.f64 x) (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/36 binary64))))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/9 binary64) #s(literal -1 binary64)) x) (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/36 binary64)))) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64))) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) (*.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 #s(approx (+ (* (* B B) (* (+ (* x 1/3) 1/6) (* (* B B) (+ (* x 1/3) 1/6)))) -1) (fma.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/36 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (+ (* (+ (* (* B B) (* (+ (* x 1/3) 1/6) (* (* B B) (+ (* x 1/3) 1/6)))) -1) (/ 1 (+ (* (* B B) (+ (* x 1/3) 1/6)) -1))) (neg x)) B) (*.f64 x (+.f64 (fma.f64 #s(literal 1/3 binary64) (+.f64 B (/.f64 B x)) (/.f64 #s(literal 1 binary64) (*.f64 x B))) (fma.f64 B (/.f64 #s(literal -1/6 binary64) x) (/.f64 #s(literal -1 binary64) B)))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* B B) (* (+ (* x 1/3) 1/6) (* (* B B) (+ (* x 1/3) 1/6)))) -1) (/ 1 (+ (* (* B B) (+ (* x 1/3) 1/6)) -1))) (neg x)) (*.f64 x (+.f64 (fma.f64 #s(literal 1/3 binary64) (fma.f64 B (/.f64 B x) (*.f64 B B)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 B B) (/.f64 #s(literal -1/6 binary64) x) #s(literal -1 binary64))))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (*.f64 (+.f64 x (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)) (*.f64 B (+.f64 x (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (*.f64 (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B) x))) (*.f64 B (+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B) x))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) #s(approx (+ (* x 1/3) 1/6) (*.f64 x #s(literal 1/3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) #s(approx (+ (* x 1/3) 1/6) (*.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64))) (neg.f64 x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 B (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B)))) B #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 B x)) (*.f64 (/.f64 B (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 B (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (/.f64 B x)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 B x)) (*.f64 (/.f64 B (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 B (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64))) (/.f64 B x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) B) B) (*.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (/.f64 x B) (/.f64 x B)) (*.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(approx (- 1 (* x (cos B))) (-.f64 #s(literal 1 binary64) x)) (sin.f64 B)) |
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (pow (- 1/2 (* 1/2 (cos (* 2 B)))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) #s(literal -1/2 binary64))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))) |
(/.f64 #s(approx (- 1 (* x (cos B))) (neg.f64 (*.f64 x (cos.f64 B)))) (sin.f64 B)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(+.f64 (neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)))) |
(fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 B))) (/.f64 (cos.f64 B) (sin.f64 B))))) |
(+.f64 (neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)))) |
(/.f64 (fma.f64 x (sin.f64 B) (tan.f64 B)) (*.f64 (tan.f64 B) (sin.f64 B))) |
(/.f64 (fma.f64 (sin.f64 B) x (tan.f64 B)) (*.f64 (sin.f64 B) (tan.f64 B))) |
(/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 (sin.f64 B) x)) (sin.f64 B)) (tan.f64 B)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))) (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(/.f64 (fma.f64 (/.f64 x (sin.f64 B)) (sin.f64 B) (/.f64 #s(literal 1 binary64) (cos.f64 B))) (tan.f64 B)) |
(/.f64 (+.f64 (sin.f64 B) (/.f64 (tan.f64 B) x)) (*.f64 (/.f64 (tan.f64 B) x) (sin.f64 B))) |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
3 calls:
| 31.0ms | B |
| 30.0ms | x |
| 30.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | B |
| 99.8% | 1 | x |
| 99.8% | 1 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
Compiled 20 to 14 computations (30% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B #s(approx (+ (* x 1/3) 1/6) #s(literal 1/6 binary64))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) #s(approx (* B (+ (* x 1/3) 1/6)) (*.f64 x (*.f64 B #s(literal 1/3 binary64)))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B #s(approx (+ (* x 1/3) 1/6) (*.f64 x #s(literal 1/3 binary64)))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1/6 binary64))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) #s(approx (* x (+ (* (* B B) 1/3) -1)) (neg.f64 x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (*.f64 B #s(literal 1/6 binary64))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 B (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 B x B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) #s(approx (+ (* x 1/3) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) #s(approx (sin B) (fma.f64 B (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) #s(approx (* B (+ (* x 1/3) 1/6)) (*.f64 x (fma.f64 B #s(literal 1/3 binary64) (/.f64 (*.f64 B #s(literal 1/6 binary64)) x)))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal -1 binary64)) x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (fma.f64 (*.f64 x B) (*.f64 B #s(literal 1/3 binary64)) (neg.f64 x))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 (*.f64 x (*.f64 B B)) #s(literal 1/3 binary64))) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) #s(approx (+ (* x 1/3) 1/6) (*.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (fma.f64 B #s(literal 1/6 binary64) (fma.f64 B (*.f64 x #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (pow (- 1/2 (* 1/2 (cos (* 2 B)))) -1/2) (/.f64 (fma.f64 B (*.f64 B (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 B B) (-.f64 B (*.f64 B x))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) B) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) #s(approx (sin B) (fma.f64 (*.f64 B B) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B) B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 x (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal -1 binary64))))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (fma.f64 x (*.f64 B (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (fma.f64 x (fma.f64 B #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) B)) (fma.f64 B #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (fma.f64 (neg.f64 x) (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/36 binary64))))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/9 binary64) #s(literal -1 binary64)) x) (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/36 binary64)))) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64))) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) (*.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 #s(approx (+ (* (* B B) (* (+ (* x 1/3) 1/6) (* (* B B) (+ (* x 1/3) 1/6)))) -1) (fma.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/36 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (+ (* (+ (* (* B B) (* (+ (* x 1/3) 1/6) (* (* B B) (+ (* x 1/3) 1/6)))) -1) (/ 1 (+ (* (* B B) (+ (* x 1/3) 1/6)) -1))) (neg x)) B) (*.f64 x (+.f64 (fma.f64 #s(literal 1/3 binary64) (+.f64 B (/.f64 B x)) (/.f64 #s(literal 1 binary64) (*.f64 x B))) (fma.f64 B (/.f64 #s(literal -1/6 binary64) x) (/.f64 #s(literal -1 binary64) B)))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* B B) (* (+ (* x 1/3) 1/6) (* (* B B) (+ (* x 1/3) 1/6)))) -1) (/ 1 (+ (* (* B B) (+ (* x 1/3) 1/6)) -1))) (neg x)) (*.f64 x (+.f64 (fma.f64 #s(literal 1/3 binary64) (fma.f64 B (/.f64 B x) (*.f64 B B)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 B B) (/.f64 #s(literal -1/6 binary64) x) #s(literal -1 binary64))))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (*.f64 (+.f64 x (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)) (*.f64 B (+.f64 x (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (*.f64 (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B) x))) (*.f64 B (+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B) x))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) #s(approx (+ (* x 1/3) 1/6) (*.f64 x #s(literal 1/3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) #s(approx (+ (* x 1/3) 1/6) (*.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64))) (neg.f64 x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 B (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B)))) B #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 B x)) (*.f64 (/.f64 B (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 B (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (/.f64 B x)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 B x)) (*.f64 (/.f64 B (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 B (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64))) (/.f64 B x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) B) B) (*.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (/.f64 x B) (/.f64 x B)) (*.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(approx (- 1 (* x (cos B))) (-.f64 #s(literal 1 binary64) x)) (sin.f64 B)) |
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (pow (- 1/2 (* 1/2 (cos (* 2 B)))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) #s(literal -1/2 binary64))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))) |
(/.f64 #s(approx (- 1 (* x (cos B))) (neg.f64 (*.f64 x (cos.f64 B)))) (sin.f64 B)) |
| Outputs |
|---|
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B))) |
3 calls:
| 33.0ms | x |
| 20.0ms | B |
| 20.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.1% | 2 | B |
| 99.5% | 3 | x |
| 99.5% | 3 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
Compiled 20 to 14 computations (30% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B #s(approx (+ (* x 1/3) 1/6) #s(literal 1/6 binary64))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) #s(approx (* B (+ (* x 1/3) 1/6)) (*.f64 x (*.f64 B #s(literal 1/3 binary64)))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B #s(approx (+ (* x 1/3) 1/6) (*.f64 x #s(literal 1/3 binary64)))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1/6 binary64))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) #s(approx (* x (+ (* (* B B) 1/3) -1)) (neg.f64 x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (*.f64 B #s(literal 1/6 binary64))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 B (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 B x B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) #s(approx (+ (* x 1/3) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) #s(approx (sin B) (fma.f64 B (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) #s(approx (* B (+ (* x 1/3) 1/6)) (*.f64 x (fma.f64 B #s(literal 1/3 binary64) (/.f64 (*.f64 B #s(literal 1/6 binary64)) x)))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal -1 binary64)) x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (fma.f64 (*.f64 x B) (*.f64 B #s(literal 1/3 binary64)) (neg.f64 x))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 (*.f64 x (*.f64 B B)) #s(literal 1/3 binary64))) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) #s(approx (+ (* x 1/3) 1/6) (*.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (fma.f64 B #s(literal 1/6 binary64) (fma.f64 B (*.f64 x #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (pow (- 1/2 (* 1/2 (cos (* 2 B)))) -1/2) (/.f64 (fma.f64 B (*.f64 B (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 B B) (-.f64 B (*.f64 B x))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) B) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) #s(approx (sin B) (fma.f64 (*.f64 B B) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B) B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 x (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal -1 binary64))))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (fma.f64 x (*.f64 B (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (fma.f64 x (fma.f64 B #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) B)) (fma.f64 B #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (fma.f64 (neg.f64 x) (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/36 binary64))))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/9 binary64) #s(literal -1 binary64)) x) (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/36 binary64)))) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64))) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) (*.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 #s(approx (+ (* (* B B) (* (+ (* x 1/3) 1/6) (* (* B B) (+ (* x 1/3) 1/6)))) -1) (fma.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/36 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (+ (* (+ (* (* B B) (* (+ (* x 1/3) 1/6) (* (* B B) (+ (* x 1/3) 1/6)))) -1) (/ 1 (+ (* (* B B) (+ (* x 1/3) 1/6)) -1))) (neg x)) B) (*.f64 x (+.f64 (fma.f64 #s(literal 1/3 binary64) (+.f64 B (/.f64 B x)) (/.f64 #s(literal 1 binary64) (*.f64 x B))) (fma.f64 B (/.f64 #s(literal -1/6 binary64) x) (/.f64 #s(literal -1 binary64) B)))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* B B) (* (+ (* x 1/3) 1/6) (* (* B B) (+ (* x 1/3) 1/6)))) -1) (/ 1 (+ (* (* B B) (+ (* x 1/3) 1/6)) -1))) (neg x)) (*.f64 x (+.f64 (fma.f64 #s(literal 1/3 binary64) (fma.f64 B (/.f64 B x) (*.f64 B B)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 B B) (/.f64 #s(literal -1/6 binary64) x) #s(literal -1 binary64))))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (*.f64 (+.f64 x (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)) (*.f64 B (+.f64 x (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (*.f64 (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B) x))) (*.f64 B (+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B) x))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) #s(approx (+ (* x 1/3) 1/6) (*.f64 x #s(literal 1/3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) #s(approx (+ (* x 1/3) 1/6) (*.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64))) (neg.f64 x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 B (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B)))) B #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 B x)) (*.f64 (/.f64 B (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 B (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (/.f64 B x)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 B x)) (*.f64 (/.f64 B (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 B (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64))) (/.f64 B x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) B) B) (*.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (/.f64 x B) (/.f64 x B)) (*.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(approx (- 1 (* x (cos B))) (-.f64 #s(literal 1 binary64) x)) (sin.f64 B)) |
| Outputs |
|---|
(/.f64 #s(approx (- 1 (* x (cos B))) (-.f64 #s(literal 1 binary64) x)) (sin.f64 B)) |
3 calls:
| 26.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 22.0ms | x |
| 21.0ms | B |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.3% | 1 | B |
| 77.3% | 1 | x |
| 77.3% | 1 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
Compiled 20 to 14 computations (30% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B #s(approx (+ (* x 1/3) 1/6) #s(literal 1/6 binary64))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) #s(approx (* B (+ (* x 1/3) 1/6)) (*.f64 x (*.f64 B #s(literal 1/3 binary64)))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B #s(approx (+ (* x 1/3) 1/6) (*.f64 x #s(literal 1/3 binary64)))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1/6 binary64))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) #s(approx (* x (+ (* (* B B) 1/3) -1)) (neg.f64 x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (*.f64 B #s(literal 1/6 binary64))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 B (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 B x B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) #s(approx (+ (* x 1/3) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) #s(approx (sin B) (fma.f64 B (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) #s(approx (* B (+ (* x 1/3) 1/6)) (*.f64 x (fma.f64 B #s(literal 1/3 binary64) (/.f64 (*.f64 B #s(literal 1/6 binary64)) x)))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal -1 binary64)) x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (fma.f64 (*.f64 x B) (*.f64 B #s(literal 1/3 binary64)) (neg.f64 x))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 (*.f64 x (*.f64 B B)) #s(literal 1/3 binary64))) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) #s(approx (+ (* x 1/3) 1/6) (*.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (fma.f64 B #s(literal 1/6 binary64) (fma.f64 B (*.f64 x #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (pow (- 1/2 (* 1/2 (cos (* 2 B)))) -1/2) (/.f64 (fma.f64 B (*.f64 B (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 B B) (-.f64 B (*.f64 B x))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) B) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) #s(approx (sin B) (fma.f64 (*.f64 B B) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B) B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 x (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal -1 binary64))))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (fma.f64 x (*.f64 B (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (fma.f64 x (fma.f64 B #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) B)) (fma.f64 B #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (fma.f64 (neg.f64 x) (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/36 binary64))))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/9 binary64) #s(literal -1 binary64)) x) (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/36 binary64)))) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64))) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) (*.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 #s(approx (+ (* (* B B) (* (+ (* x 1/3) 1/6) (* (* B B) (+ (* x 1/3) 1/6)))) -1) (fma.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/36 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (+ (* (+ (* (* B B) (* (+ (* x 1/3) 1/6) (* (* B B) (+ (* x 1/3) 1/6)))) -1) (/ 1 (+ (* (* B B) (+ (* x 1/3) 1/6)) -1))) (neg x)) B) (*.f64 x (+.f64 (fma.f64 #s(literal 1/3 binary64) (+.f64 B (/.f64 B x)) (/.f64 #s(literal 1 binary64) (*.f64 x B))) (fma.f64 B (/.f64 #s(literal -1/6 binary64) x) (/.f64 #s(literal -1 binary64) B)))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* B B) (* (+ (* x 1/3) 1/6) (* (* B B) (+ (* x 1/3) 1/6)))) -1) (/ 1 (+ (* (* B B) (+ (* x 1/3) 1/6)) -1))) (neg x)) (*.f64 x (+.f64 (fma.f64 #s(literal 1/3 binary64) (fma.f64 B (/.f64 B x) (*.f64 B B)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 B B) (/.f64 #s(literal -1/6 binary64) x) #s(literal -1 binary64))))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (*.f64 (+.f64 x (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)) (*.f64 B (+.f64 x (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (*.f64 (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B) x))) (*.f64 B (+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B) x))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) #s(approx (+ (* x 1/3) 1/6) (*.f64 x #s(literal 1/3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) #s(approx (+ (* x 1/3) 1/6) (*.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64))) (neg.f64 x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 B (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B)))) B #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 B x)) (*.f64 (/.f64 B (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 B (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (/.f64 B x)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 B x)) (*.f64 (/.f64 B (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 B (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64))) (/.f64 B x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) B) B) (*.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (/.f64 x B) (/.f64 x B)) (*.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 #s(literal 1 binary64) x))))) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64))) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
3 calls:
| 46.0ms | x |
| 33.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 18.0ms | B |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.6% | 3 | x |
| 75.7% | 2 | B |
| 75.9% | 3 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
Compiled 20 to 14 computations (30% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B #s(approx (+ (* x 1/3) 1/6) #s(literal 1/6 binary64))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) #s(approx (* B (+ (* x 1/3) 1/6)) (*.f64 x (*.f64 B #s(literal 1/3 binary64)))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B #s(approx (+ (* x 1/3) 1/6) (*.f64 x #s(literal 1/3 binary64)))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1/6 binary64))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) #s(approx (* x (+ (* (* B B) 1/3) -1)) (neg.f64 x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (*.f64 B #s(literal 1/6 binary64))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 B (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 B x B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) #s(approx (+ (* x 1/3) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) #s(approx (sin B) (fma.f64 B (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) #s(approx (* B (+ (* x 1/3) 1/6)) (*.f64 x (fma.f64 B #s(literal 1/3 binary64) (/.f64 (*.f64 B #s(literal 1/6 binary64)) x)))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal -1 binary64)) x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (fma.f64 (*.f64 x B) (*.f64 B #s(literal 1/3 binary64)) (neg.f64 x))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 (*.f64 x (*.f64 B B)) #s(literal 1/3 binary64))) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) #s(approx (+ (* x 1/3) 1/6) (*.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (fma.f64 B #s(literal 1/6 binary64) (fma.f64 B (*.f64 x #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (pow (- 1/2 (* 1/2 (cos (* 2 B)))) -1/2) (/.f64 (fma.f64 B (*.f64 B (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 B B) (-.f64 B (*.f64 B x))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) B) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) #s(approx (sin B) (fma.f64 (*.f64 B B) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B) B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 x (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal -1 binary64))))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (fma.f64 x (*.f64 B (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (fma.f64 x (fma.f64 B #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) B)) (fma.f64 B #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (fma.f64 (neg.f64 x) (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/36 binary64))))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/9 binary64) #s(literal -1 binary64)) x) (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/36 binary64)))) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64))) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) (*.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 #s(approx (+ (* (* B B) (* (+ (* x 1/3) 1/6) (* (* B B) (+ (* x 1/3) 1/6)))) -1) (fma.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/36 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (+ (* (+ (* (* B B) (* (+ (* x 1/3) 1/6) (* (* B B) (+ (* x 1/3) 1/6)))) -1) (/ 1 (+ (* (* B B) (+ (* x 1/3) 1/6)) -1))) (neg x)) B) (*.f64 x (+.f64 (fma.f64 #s(literal 1/3 binary64) (+.f64 B (/.f64 B x)) (/.f64 #s(literal 1 binary64) (*.f64 x B))) (fma.f64 B (/.f64 #s(literal -1/6 binary64) x) (/.f64 #s(literal -1 binary64) B)))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* B B) (* (+ (* x 1/3) 1/6) (* (* B B) (+ (* x 1/3) 1/6)))) -1) (/ 1 (+ (* (* B B) (+ (* x 1/3) 1/6)) -1))) (neg x)) (*.f64 x (+.f64 (fma.f64 #s(literal 1/3 binary64) (fma.f64 B (/.f64 B x) (*.f64 B B)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 B B) (/.f64 #s(literal -1/6 binary64) x) #s(literal -1 binary64))))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (*.f64 (+.f64 x (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)) (*.f64 B (+.f64 x (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (*.f64 (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B) x))) (*.f64 B (+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B) x))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) #s(approx (+ (* x 1/3) 1/6) (*.f64 x #s(literal 1/3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) #s(approx (+ (* x 1/3) 1/6) (*.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64))) (neg.f64 x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 B (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B)))) B #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 B x)) (*.f64 (/.f64 B (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 B (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (/.f64 B x)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 B x)) (*.f64 (/.f64 B (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 B (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64))) (/.f64 B x)))) |
| Outputs |
|---|
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) #s(approx (+ (* x 1/3) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B)) |
3 calls:
| 43.0ms | B |
| 20.0ms | x |
| 18.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.8% | 1 | x |
| 52.8% | 1 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 52.8% | 1 | B |
Compiled 20 to 14 computations (30% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B #s(approx (+ (* x 1/3) 1/6) #s(literal 1/6 binary64))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) #s(approx (* B (+ (* x 1/3) 1/6)) (*.f64 x (*.f64 B #s(literal 1/3 binary64)))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B #s(approx (+ (* x 1/3) 1/6) (*.f64 x #s(literal 1/3 binary64)))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1/6 binary64))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) #s(approx (* x (+ (* (* B B) 1/3) -1)) (neg.f64 x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (*.f64 B #s(literal 1/6 binary64))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 B (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 B x B))) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
3 calls:
| 7.0ms | x |
| 5.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 5.0ms | B |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.4% | 1 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 52.4% | 1 | x |
| 52.4% | 1 | B |
Compiled 20 to 14 computations (30% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B #s(approx (+ (* x 1/3) 1/6) #s(literal 1/6 binary64))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) #s(approx (* B (+ (* x 1/3) 1/6)) (*.f64 x (*.f64 B #s(literal 1/3 binary64)))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B #s(approx (+ (* x 1/3) 1/6) (*.f64 x #s(literal 1/3 binary64)))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1/6 binary64))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) #s(approx (* x (+ (* (* B B) 1/3) -1)) (neg.f64 x))) B)) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B)) |
3 calls:
| 3.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 3.0ms | B |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.4% | 3 | x |
| 32.6% | 3 | B |
| 47.2% | 3 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
Compiled 20 to 14 computations (30% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B #s(approx (+ (* x 1/3) 1/6) #s(literal 1/6 binary64))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) #s(approx (* B (+ (* x 1/3) 1/6)) (*.f64 x (*.f64 B #s(literal 1/3 binary64)))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B #s(approx (+ (* x 1/3) 1/6) (*.f64 x #s(literal 1/3 binary64)))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))))) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) |
3 calls:
| 2.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 2.0ms | x |
| 2.0ms | B |
| Accuracy | Segments | Branch |
|---|---|---|
| 29.2% | 1 | B |
| 29.2% | 1 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 29.2% | 1 | x |
Compiled 20 to 14 computations (30% saved)
Total -1.1b remaining (-1.7%)
Threshold costs -1.1b (-1.7%)
| Inputs |
|---|
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B #s(approx (+ (* x 1/3) 1/6) #s(literal 1/6 binary64))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) #s(approx (* B (+ (* x 1/3) 1/6)) (*.f64 x (*.f64 B #s(literal 1/3 binary64)))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B #s(approx (+ (* x 1/3) 1/6) (*.f64 x #s(literal 1/3 binary64)))))) |
| Outputs |
|---|
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B #s(approx (+ (* x 1/3) 1/6) #s(literal 1/6 binary64))))) |
3 calls:
| 2.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 2.0ms | B |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.4% | 1 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 3.4% | 1 | x |
| 3.4% | 1 | B |
Compiled 20 to 14 computations (30% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1246045.9960585658 | 202671229.4163661 |
| 0.0ms | -66859626.44948294 | -156.36031610304516 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 32.0ms | 0.028484229767092185 | 13.674854597909215 |
| 27.0ms | 128× | 0 | valid |
Compiled 345 to 223 computations (35.4% saved)
ival-tan: 19.0ms (78.6% of total)ival-div: 2.0ms (8.3% of total)ival-sin: 2.0ms (8.3% of total)ival-add: 1.0ms (4.1% of total)ival-mult: 1.0ms (4.1% of total)ival-neg: 1.0ms (4.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 33.0ms | 0.08076663232785615 | 15258309468.340256 |
| 24.0ms | -1668371.2433729745 | -5.1822634522121795e-5 |
| 43.0ms | 320× | 0 | valid |
Compiled 357 to 215 computations (39.8% saved)
ival-tan: 19.0ms (53.5% of total)ival-sin: 7.0ms (19.7% of total)ival-div: 4.0ms (11.3% of total)ival-mult: 2.0ms (5.6% of total)ival-add: 1.0ms (2.8% of total)ival-neg: 1.0ms (2.8% 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 |
| 24× | *-commutative_binary64 |
| 24× | +-commutative_binary64 |
| 24× | sub-neg_binary64 |
| 16× | neg-sub0_binary64 |
| 16× | neg-mul-1_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 89 | 327 |
| 1 | 112 | 325 |
| 2 | 141 | 325 |
| 3 | 155 | 325 |
| 4 | 166 | 325 |
| 5 | 168 | 325 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(if (<=.f64 (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #s(literal -50000000 binary64)) (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B))) (if (<=.f64 (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #s(literal 2000000 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B))))) |
(/.f64 #s(approx (- 1 (* x (cos B))) (-.f64 #s(literal 1 binary64) x)) (sin.f64 B)) |
(if (<=.f64 B #s(literal 5944751508129055/9007199254740992 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64))) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) #s(approx (+ (* x 1/3) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B)) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B #s(approx (+ (* x 1/3) 1/6) #s(literal 1/6 binary64))))) |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(if (<=.f64 (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #s(literal -50000000 binary64)) (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B))) (if (<=.f64 (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #s(literal 2000000 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B))))) |
(if (<=.f64 (+.f64 (*.f64 x (/.f64 #s(literal -1 binary64) (tan.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #s(literal -50000000 binary64)) (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B))) (if (<=.f64 (+.f64 (*.f64 x (/.f64 #s(literal -1 binary64) (tan.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #s(literal 2000000 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B))))) |
(/.f64 #s(approx (- 1 (* x (cos B))) (-.f64 #s(literal 1 binary64) x)) (sin.f64 B)) |
(if (<=.f64 B #s(literal 5944751508129055/9007199254740992 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64))) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) #s(approx (+ (* x 1/3) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B)) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B #s(approx (+ (* x 1/3) 1/6) #s(literal 1/6 binary64))))) |
| 25 592× | lower-fma.f64 |
| 25 592× | lower-fma.f32 |
| 15 586× | lower-fma.f64 |
| 15 586× | lower-fma.f32 |
| 13 478× | lower-fma.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 366 | 3927 |
| 1 | 1078 | 3844 |
| 2 | 3089 | 3754 |
| 0 | 8193 | 3486 |
| 0 | 135 | 913 |
| 1 | 368 | 906 |
| 2 | 1218 | 888 |
| 3 | 4458 | 883 |
| 4 | 7788 | 881 |
| 0 | 8237 | 848 |
| 0 | 10 | 33 |
| 0 | 17 | 26 |
| 1 | 59 | 25 |
| 2 | 376 | 25 |
| 3 | 4328 | 25 |
| 0 | 8975 | 25 |
| 0 | 570 | 6932 |
| 1 | 1816 | 6643 |
| 2 | 6133 | 6633 |
| 0 | 8409 | 6074 |
| 0 | 28 | 123 |
| 0 | 45 | 98 |
| 1 | 181 | 98 |
| 2 | 1524 | 98 |
| 0 | 9032 | 98 |
| 0 | 315 | 3020 |
| 1 | 889 | 2957 |
| 2 | 2766 | 2854 |
| 0 | 8014 | 2739 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 326 to 165 computations (49.4% saved)
(negabs B)
Compiled 374 to 144 computations (61.5% saved)
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