
Time bar (total: 10.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 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)
| 786.0ms | 8 256× | 0 | valid |
ival-tan: 183.0ms (29.8% of total)ival-sin: 181.0ms (29.5% of total)ival-div: 114.0ms (18.6% of total)ival-mult: 53.0ms (8.6% of total)ival-add: 37.0ms (6% of total)ival-neg: 32.0ms (5.2% of total)ival-true: 6.0ms (1% of total)exact: 4.0ms (0.7% 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 |
| 116.0ms | 512× | 0 | valid |
Compiled 98 to 34 computations (65.3% saved)
ival-neg: 64.0ms (64% of total)ival-sin: 11.0ms (11% of total)ival-tan: 11.0ms (11% of total)ival-div: 7.0ms (7% of total)ival-mult: 3.0ms (3% of total)ival-add: 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 |
|---|---|---|
| ▶ | 99.6% | (+.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 | 0.01953125 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) | |
| accuracy | 0.125 | (/.f64 #s(literal 1 binary64) (sin.f64 B)) | |
| accuracy | 0.203125 | (/.f64 #s(literal 1 binary64) (tan.f64 B)) | |
| accuracy | 0.2421875 | (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
| 26.0ms | 256× | 0 | valid |
Compiled 42 to 12 computations (71.4% saved)
ival-sin: 5.0ms (27.8% of total)ival-tan: 5.0ms (27.8% of total)ival-div: 3.0ms (16.7% of total)ival-mult: 2.0ms (11.1% of total)ival-add: 1.0ms (5.6% of total)ival-neg: 1.0ms (5.6% 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 |
|---|---|---|
| 27.2% | (fma.f64 (neg.f64 x) (/.f64 (*.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) x) (+.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))))))) | |
| 37.2% | (/.f64 (pow.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #s(literal 2 binary64)) (+.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) | |
| 44.5% | (/.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))) |
| ▶ | 99.7% | (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| ▶ | 70.4% | (+.f64 (neg.f64 (*.f64 x (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 73.0% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (pow.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 43.9% | (+.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))) | |
| 57.5% | (+.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)))) | |
| 75.5% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) | |
| 74.4% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) | |
| 50.8% | #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)) | |
| 51.2% | #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)) | |
| 50.9% | #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)) | |
| ▶ | 50.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
| 50.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))) | |
| ▶ | 50.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
Compiled 622 to 396 computations (36.3% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 (*.f64 x (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) | |
| cost-diff | 128 | (+.f64 (neg.f64 (*.f64 x (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) | |
| cost-diff | 320 | (*.f64 x (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| cost-diff | 12224 | (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (tan.f64 B) | |
| cost-diff | 0 | (/.f64 (tan.f64 B) x) | |
| cost-diff | 128 | (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) | |
| cost-diff | 576 | (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)) | |
| 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))) |
| 520× | lower-fma.f64 |
| 520× | lower-fma.f32 |
| 392× | lower-*.f32 |
| 390× | lower-*.f64 |
| 240× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 165 |
| 0 | 45 | 151 |
| 1 | 74 | 141 |
| 2 | 126 | 141 |
| 3 | 222 | 141 |
| 4 | 319 | 141 |
| 5 | 428 | 141 |
| 6 | 539 | 141 |
| 7 | 701 | 141 |
| 8 | 836 | 141 |
| 9 | 935 | 141 |
| 10 | 972 | 141 |
| 11 | 1141 | 141 |
| 12 | 1227 | 141 |
| 13 | 1295 | 141 |
| 14 | 1357 | 141 |
| 15 | 1418 | 141 |
| 16 | 1568 | 141 |
| 0 | 1568 | 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 |
(+.f64 (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)) |
#s(literal -1 binary64) |
(/.f64 (tan.f64 B) x) |
(tan.f64 B) |
B |
x |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
#s(literal 1 binary64) |
(sin.f64 B) |
(+.f64 (neg.f64 (*.f64 x (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(neg.f64 (*.f64 x (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
(*.f64 x (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
x |
(pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) |
(tan.f64 B) |
B |
#s(literal -1/2 binary64) |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
#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 |
(+.f64 (/.f64 #s(literal -1 binary64) (/.f64 (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) (/.f64 (tan.f64 B) x)) |
(neg.f64 (/.f64 x (tan.f64 B))) |
#s(literal -1 binary64) |
(/.f64 (tan.f64 B) x) |
(tan.f64 B) |
B |
x |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
#s(literal 1 binary64) |
(sin.f64 B) |
(+.f64 (neg.f64 (*.f64 x (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (/.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 (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 x (tan.f64 B))) |
(*.f64 x (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(/.f64 x (tan.f64 B)) |
x |
(pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
(pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) |
(tan.f64 B) |
B |
#s(literal -1/2 binary64) |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
#s(literal 1 binary64) |
(sin.f64 B) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.03515625 | (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) | |
| accuracy | 0.04296875 | (/.f64 #s(literal 1 binary64) (sin.f64 B)) | |
| accuracy | 0.171875 | (*.f64 x (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| accuracy | 0.39291000976844204 | (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| accuracy | 0.01953125 | (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) | |
| accuracy | 0.03515625 | (/.f64 (tan.f64 B) x) | |
| accuracy | 0.04296875 | (/.f64 #s(literal 1 binary64) (sin.f64 B)) | |
| accuracy | 0.140625 | (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)) | |
| accuracy | 0 | (sin.f64 B) | |
| accuracy | 0.04296875 | (/.f64 #s(literal 1 binary64) (sin.f64 B)) | |
| accuracy | 22.041482413067115 | #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 | 0.0078125 | (/.f64 (-.f64 #s(literal 1 binary64) x) B) | |
| accuracy | 13.228113039753179 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) | |
| accuracy | 0 | (sin.f64 B) | |
| accuracy | 0.01953125 | (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) | |
| accuracy | 0.04296875 | (/.f64 #s(literal 1 binary64) (sin.f64 B)) | |
| accuracy | 0.078125 | (/.f64 x (tan.f64 B)) |
| 44.0ms | 181× | 0 | valid |
| 18.0ms | 75× | 0 | invalid |
Compiled 156 to 27 computations (82.7% saved)
ival-sin: 10.0ms (22.6% of total)ival-div: 9.0ms (20.4% of total)ival-pow: 7.0ms (15.8% of total)ival-tan: 5.0ms (11.3% of total)ival-add: 3.0ms (6.8% of total)ival-mult: 3.0ms (6.8% of total)ival-sub: 2.0ms (4.5% of total)ival-neg: 2.0ms (4.5% of total)ival-pow2: 2.0ms (4.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (/.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 (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)) (patch (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ()) |
#s(alt (/.f64 (tan.f64 B) x) (patch (/.f64 (tan.f64 B) x) #<representation binary64>) () ()) |
#s(alt (tan.f64 B) (patch (tan.f64 B) #<representation binary64>) () ()) |
#s(alt (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (*.f64 x (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 (neg.f64 (*.f64 x (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (neg.f64 (*.f64 x (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (*.f64 x (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (patch (neg.f64 (*.f64 x (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (patch (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #<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>) () ())) ()) |
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#s(alt (sqrt (/ (cos B) (sin B))) (taylor inf B) (#s(alt (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (patch (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (/ (cos B) (sin B))) (taylor inf B) (#s(alt (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (patch (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (/ (cos B) (sin B))) (taylor -inf B) (#s(alt (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (patch (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (/ (cos B) (sin B))) (taylor -inf B) (#s(alt (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (patch (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (/ (cos B) (sin B))) (taylor -inf B) (#s(alt (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (patch (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (/ (cos B) (sin B))) (taylor -inf B) (#s(alt (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (patch (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
84 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | B | @ | -inf | (- (/ 1 (sin B)) (/ x (tan B))) |
| 1.0ms | B | @ | inf | (pow (tan B) -1/2) |
| 1.0ms | B | @ | -inf | (pow (tan B) -1/2) |
| 0.0ms | B | @ | 0 | (pow (tan B) -1/2) |
| 0.0ms | x | @ | inf | (/ (- 1 x) B) |
| 1× | egg-herbie |
| 13 808× | lower-fma.f64 |
| 13 808× | lower-fma.f32 |
| 4 248× | lower-*.f64 |
| 4 248× | lower-*.f32 |
| 4 168× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 249 | 3201 |
| 1 | 685 | 3163 |
| 2 | 2145 | 3112 |
| 3 | 5781 | 3013 |
| 0 | 8167 | 2813 |
| 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 (/ x B)) |
(/ (+ (* -1 x) (* 1/3 (* (pow B 2) x))) B) |
(/ (+ (* -1 x) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))))) B) |
(/ (+ (* -1 x) (* (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)))))))))) 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 (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 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)))))) |
(/ B x) |
(* B (+ (* 1/3 (/ (pow B 2) x)) (/ 1 x))) |
(* B (+ (* (pow B 2) (+ (* 2/15 (/ (pow B 2) x)) (* 1/3 (/ 1 x)))) (/ 1 x))) |
(* B (+ (* (pow B 2) (+ (* (pow B 2) (+ (* 17/315 (/ (pow B 2) x)) (* 2/15 (/ 1 x)))) (* 1/3 (/ 1 x)))) (/ 1 x))) |
(/ (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 (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))) |
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 (* -1/3 (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)) |
(/ (* 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))) |
(sqrt (/ 1 B)) |
(/ (+ (sqrt B) (* -1/6 (sqrt (pow B 5)))) B) |
(/ (+ (sqrt B) (* (pow B 3) (+ (* -1/6 (sqrt (/ 1 B))) (* -1/90 (sqrt (pow B 3)))))) B) |
(/ (+ (sqrt B) (* (pow B 3) (+ (* -1/6 (sqrt (/ 1 B))) (* (pow B 2) (+ (* -1/72 (sqrt (/ 1 B))) (* -1/90 (sqrt (/ 1 B)))))))) B) |
(sqrt (/ (cos B) (sin B))) |
(sqrt (/ (cos B) (sin B))) |
(sqrt (/ (cos B) (sin B))) |
(sqrt (/ (cos B) (sin B))) |
(sqrt (/ (cos B) (sin B))) |
(sqrt (/ (cos B) (sin B))) |
(sqrt (/ (cos B) (sin B))) |
(sqrt (/ (cos B) (sin 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 (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))) (-.f64 #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) |
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(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64))) |
(/ (- 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 (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))) (-.f64 #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 x #s(literal 1/45 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 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))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64))) |
(* -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) |
(*.f64 x (fma.f64 B #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) B))) |
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x))))) x) B) |
(fma.f64 B (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #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) (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))) x) B) |
(fma.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (*.f64 x #s(literal 2/945 binary64)) (*.f64 x #s(literal 1/45 binary64))) (*.f64 x #s(literal 1/3 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))) |
(sqrt (/ 1 B)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) B)) |
(/ (+ (sqrt B) (* -1/6 (sqrt (pow B 5)))) B) |
(/.f64 (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (pow.f64 B #s(literal 5 binary64))) (sqrt.f64 B)) B) |
(/ (+ (sqrt B) (* (pow B 3) (+ (* -1/6 (sqrt (/ 1 B))) (* -1/90 (sqrt (pow B 3)))))) B) |
(/.f64 (fma.f64 (*.f64 B (*.f64 B B)) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) B)) (*.f64 #s(literal -1/90 binary64) (sqrt.f64 (*.f64 B (*.f64 B B))))) (sqrt.f64 B)) B) |
(/ (+ (sqrt B) (* (pow B 3) (+ (* -1/6 (sqrt (/ 1 B))) (* (pow B 2) (+ (* -1/72 (sqrt (/ 1 B))) (* -1/90 (sqrt (/ 1 B)))))))) B) |
(/.f64 (fma.f64 (*.f64 B (*.f64 B B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) B)) (fma.f64 (*.f64 B B) #s(literal -1/40 binary64) #s(literal -1/6 binary64))) (sqrt.f64 B)) B) |
(sqrt (/ (cos B) (sin B))) |
(sqrt.f64 (/.f64 (cos.f64 B) (sin.f64 B))) |
(sqrt (/ (cos B) (sin B))) |
(sqrt.f64 (/.f64 (cos.f64 B) (sin.f64 B))) |
(sqrt (/ (cos B) (sin B))) |
(sqrt.f64 (/.f64 (cos.f64 B) (sin.f64 B))) |
(sqrt (/ (cos B) (sin B))) |
(sqrt.f64 (/.f64 (cos.f64 B) (sin.f64 B))) |
(sqrt (/ (cos B) (sin B))) |
(sqrt.f64 (/.f64 (cos.f64 B) (sin.f64 B))) |
(sqrt (/ (cos B) (sin B))) |
(sqrt.f64 (/.f64 (cos.f64 B) (sin.f64 B))) |
(sqrt (/ (cos B) (sin B))) |
(sqrt.f64 (/.f64 (cos.f64 B) (sin.f64 B))) |
(sqrt (/ (cos B) (sin B))) |
(sqrt.f64 (/.f64 (cos.f64 B) (sin.f64 B))) |
| 8 780× | lower-fma.f64 |
| 8 780× | lower-fma.f32 |
| 4 482× | lower-*.f32 |
| 4 480× | lower-*.f64 |
| 2 734× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 126 |
| 0 | 45 | 100 |
| 1 | 188 | 100 |
| 2 | 1286 | 100 |
| 0 | 9369 | 100 |
| 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))) |
(/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)) |
(+.f64 (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 (tan.f64 B) x) |
(tan.f64 B) |
(pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 x (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(+.f64 (neg.f64 (*.f64 x (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(neg.f64 (*.f64 x (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
(pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) |
| 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) (sin.f64 B)) (/.f64 x (tan.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) (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))))))) (neg.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 B) x) #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 #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 (*.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)))) (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) (sin.f64 B)) (/.f64 x (tan.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) (sin.f64 B)) (/.f64 x (tan.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) (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 (tan.f64 B) x) #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 (pow.f64 (/.f64 (tan.f64 B) x) #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 (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 (/.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 (*.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 #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 #s(literal -1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 (neg.f64 (sin.f64 B)) (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x))) (/.f64 (/.f64 (tan.f64 B) x) (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x)))) |
(-.f64 (/.f64 (/.f64 (tan.f64 B) x) (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x))) (/.f64 (neg.f64 (sin.f64 B)) (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x)))) |
(-.f64 (/.f64 (/.f64 (tan.f64 B) x) (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x))) (/.f64 (sin.f64 B) (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x)))) |
(-.f64 (/.f64 (sin.f64 B) (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x))) (/.f64 (/.f64 (tan.f64 B) x) (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x)))) |
(-.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 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 x (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 x (tan.f64 B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 1 binary64) (/.f64 x (tan.f64 B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal -1 binary64) (/.f64 x (tan.f64 B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (cos.f64 B) x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (cos.f64 B) x) (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (tan.f64 B) (tan.f64 B)) (neg.f64 (/.f64 (*.f64 (sin.f64 B) x) (*.f64 (sin.f64 B) (tan.f64 B))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 B))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (cos.f64 B) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (cos.f64 B) (neg.f64 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 x (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.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 x (/.f64 #s(literal -1 binary64) (tan.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(fma.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(fma.f64 (tan.f64 B) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (tan.f64 B))) (neg.f64 (/.f64 (*.f64 (sin.f64 B) x) (*.f64 (sin.f64 B) (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 x (tan.f64 B)) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 x (tan.f64 B)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 x (tan.f64 B)) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.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 x (tan.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
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(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)) #s(literal 0 binary64))) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B))) (/.f64 x (tan.f64 B))) |
(neg.f64 (/.f64 x (tan.f64 B))) |
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)) #s(literal 0 binary64)) (pow.f64 (/.f64 (tan.f64 B) x) #s(literal -3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (tan.f64 B)) (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))))) |
(/.f64 x (tan.f64 B)) |
(/.f64 x (neg.f64 (tan.f64 B))) |
(/.f64 (/.f64 x (tan.f64 B)) #s(literal 1 binary64)) |
(/.f64 (/.f64 x (tan.f64 B)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (neg.f64 x) (tan.f64 B)) |
(/.f64 (neg.f64 x) (neg.f64 (tan.f64 B))) |
(/.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 x (tan.f64 B))) |
(/.f64 (pow.f64 (/.f64 (tan.f64 B) x) #s(literal -3 binary64)) (fma.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)) #s(literal 0 binary64))) |
(/.f64 (pow.f64 (/.f64 (tan.f64 B) x) #s(literal -3 binary64)) (neg.f64 (fma.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)) #s(literal 0 binary64)))) |
(/.f64 (pow.f64 (/.f64 (tan.f64 B) x) #s(literal -3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) #s(literal 0 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) (/.f64 #s(literal -1 binary64) x)) |
(pow.f64 (/.f64 x (tan.f64 B)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (tan.f64 B) x) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 x (tan.f64 B))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (cos.f64 B) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 B)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (cos.f64 B) (neg.f64 x))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(*.f64 x (/.f64 #s(literal -1 binary64) (tan.f64 B))) |
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (tan.f64 B)) #s(literal 1 binary64)) |
(*.f64 (/.f64 x (tan.f64 B)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 x (tan.f64 B))) |
(*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) x)) |
(*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (neg.f64 (*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) x))) |
(*.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))) |
(*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (*.f64 (*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (*.f64 (neg.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) x)) |
(*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (*.f64 (neg.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) (neg.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 B))) |
(*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 (tan.f64 B) x)) |
(*.f64 (pow.f64 (/.f64 (tan.f64 B) x) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)) #s(literal 0 binary64)))) |
(*.f64 (pow.f64 (tan.f64 B) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (tan.f64 B) #s(literal -3/4 binary64)) (neg.f64 x))) |
(*.f64 (pow.f64 (tan.f64 B) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (tan.f64 B) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) x))) |
(*.f64 (pow.f64 (tan.f64 B) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (tan.f64 B) #s(literal -3/4 binary64)) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x) |
(*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) (neg.f64 x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) (*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) x)) |
(*.f64 (neg.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))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (*.f64 (cos.f64 B) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 B)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (*.f64 (cos.f64 B) (neg.f64 x))) |
(*.f64 (pow.f64 (tan.f64 B) #s(literal -3/4 binary64)) (*.f64 (pow.f64 (tan.f64 B) #s(literal -1/4 binary64)) (neg.f64 x))) |
(*.f64 (pow.f64 (tan.f64 B) #s(literal -3/4 binary64)) (*.f64 (pow.f64 (tan.f64 B) #s(literal -1/4 binary64)) x)) |
(*.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 x (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 x (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) (*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 x (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) (*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (*.f64 x (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)))) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 (*.f64 x (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)))) |
(*.f64 (neg.f64 (*.f64 x (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)))) (*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (*.f64 x (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)))) (*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (/.f64 x (sin.f64 B))) (cos.f64 B)) |
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)) |
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B))) |
(*.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) |
(*.f64 (/.f64 x (sin.f64 B)) (*.f64 (cos.f64 B) #s(literal 1 binary64))) |
(*.f64 (/.f64 x (sin.f64 B)) (*.f64 (cos.f64 B) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (tan.f64 B))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 1 binary64)) (/.f64 (cos.f64 B) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (neg.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal 1 binary64)) x) |
(*.f64 (/.f64 (pow.f64 (tan.f64 B) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (tan.f64 B) #s(literal -3/4 binary64)) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (pow.f64 (tan.f64 B) #s(literal -3/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (tan.f64 B) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (tan.f64 B))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) #s(literal 1 binary64)) (/.f64 (cos.f64 B) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(*.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) |
(*.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 (neg.f64 (neg.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 x (/.f64 #s(literal -1 binary64) (sin.f64 B))) (cos.f64 B)) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) #s(literal -1 binary64)) x) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.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 x (neg.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)))) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) |
(*.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 -1/4 binary64))) (pow.f64 (tan.f64 B) #s(literal -3/4 binary64))) |
(*.f64 (*.f64 (neg.f64 x) (pow.f64 (tan.f64 B) #s(literal -3/4 binary64))) (pow.f64 (tan.f64 B) #s(literal -1/4 binary64))) |
(*.f64 (*.f64 (neg.f64 (*.f64 x (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)))) (pow.f64 (tan.f64 B) #s(literal -1/4 binary64))) (pow.f64 (tan.f64 B) #s(literal -1/4 binary64))) |
(*.f64 (*.f64 #s(literal -1 binary64) (neg.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 x (pow.f64 (tan.f64 B) #s(literal -1/4 binary64))) (pow.f64 (tan.f64 B) #s(literal -3/4 binary64))) |
(*.f64 (*.f64 x (pow.f64 (tan.f64 B) #s(literal -3/4 binary64))) (pow.f64 (tan.f64 B) #s(literal -1/4 binary64))) |
(*.f64 (*.f64 (neg.f64 x) (neg.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)))) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (*.f64 x (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 B) #s(literal -1/4 binary64))) (pow.f64 (tan.f64 B) #s(literal -1/4 binary64))) |
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 B))) (cos.f64 B)) |
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (tan.f64 B)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 B) #s(literal 2 binary64))) #s(literal -1/4 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (tan.f64 B)) #s(literal -1/4 binary64)) #s(literal 2 binary64))) |
(pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (tan.f64 B) #s(literal 2 binary64)) #s(literal -1/4 binary64)) |
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (tan.f64 B))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (tan.f64 B) #s(literal -1/4 binary64)) (pow.f64 (tan.f64 B) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (tan.f64 B) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (tan.f64 B) #s(literal -1/8 binary64)) (pow.f64 (tan.f64 B) #s(literal -1/4 binary64)))) |
(*.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (pow.f64 (tan.f64 B) #s(literal -1/4 binary64)) (pow.f64 (tan.f64 B) #s(literal -1/8 binary64))) (pow.f64 (tan.f64 B) #s(literal -1/8 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 B) #s(literal -1/4 binary64))) (pow.f64 (tan.f64 B) #s(literal -1/4 binary64))) |
Compiled 38 792 to 2 710 computations (93% saved)
43 alts after pruning (40 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 234 | 39 | 2 273 |
| Fresh | 11 | 1 | 12 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 247 | 43 | 2 290 |
| Status | Accuracy | Program |
|---|---|---|
| 88.1% | (/.f64 (-.f64 (/.f64 (tan.f64 B) x) (sin.f64 B)) (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x))) | |
| 43.9% | (-.f64 (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 x (tan.f64 B))) | |
| 57.6% | (-.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))))) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64))) (/.f64 x (tan.f64 B))) | |
| ✓ | 99.8% | (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
| 75.6% | (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B))) | |
| 75.5% | (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) | |
| ▶ | 99.6% | (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 59.8% | (+.f64 (neg.f64 (*.f64 x (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) | |
| 75.5% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) | |
| 99.6% | (*.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 (sin.f64 B) x)) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (tan.f64 B))) | |
| 82.5% | (*.f64 (-.f64 (tan.f64 B) (*.f64 (sin.f64 B) x)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (tan.f64 B)))) | |
| ▶ | 50.9% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.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))) (-.f64 #s(literal 1 binary64) x)) B)) |
| 50.8% | #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) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) | |
| ▶ | 51.2% | #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)) |
| 50.7% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))) | |
| ▶ | 99.6% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64)))) |
| 36.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (pow.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 18.6% | #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))) | |
| 37.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) B)) | |
| 49.3% | #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)) | |
| 50.7% | #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)) | |
| 50.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) | |
| 31.8% | #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)))) | |
| 33.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 B (*.f64 B x)) (*.f64 B B))) | |
| 37.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (fma.f64 B (fma.f64 x x x) B))) | |
| 49.0% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 B x B))) | |
| ✓ | 50.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
| 25.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B)) | |
| ▶ | 26.8% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) |
| 50.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x)))) | |
| ✓ | 50.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 26.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) #s(approx (sin B) (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)))) | |
| 26.9% | #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 B (fma.f64 B (*.f64 B #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) B)))) | |
| 26.9% | #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)))) | |
| 16.9% | #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))))) | |
| 50.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B))) | |
| 50.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x))) | |
| 37.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 #s(literal 1 binary64) B)))) | |
| 49.0% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 B x B)))) | |
| 49.0% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) B)))) | |
| 26.9% | #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 B (*.f64 B #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B))) | |
| 27.1% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ 1 (sin 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))) | |
| 27.1% | #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 1 320 to 782 computations (40.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 B) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (sin.f64 B)) | |
| cost-diff | 0 | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64)))) | |
| cost-diff | 192 | (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64))) | |
| cost-diff | 0 | (*.f64 B B) | |
| cost-diff | 0 | (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))) (-.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.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))) (-.f64 #s(literal 1 binary64) x)) B)) | |
| cost-diff | 320 | (/.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))) (-.f64 #s(literal 1 binary64) x)) 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 | (/.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 (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 | 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 | 384 | (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) | |
| cost-diff | 576 | (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) | |
| cost-diff | 7232 | (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 23 914× | lower-fma.f32 |
| 23 902× | lower-fma.f64 |
| 3 742× | lower-*.f32 |
| 3 738× | lower-*.f64 |
| 2 840× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 311 |
| 0 | 74 | 311 |
| 1 | 149 | 304 |
| 2 | 389 | 294 |
| 3 | 989 | 294 |
| 4 | 2393 | 294 |
| 5 | 5081 | 292 |
| 0 | 8410 | 290 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))) |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
#s(literal 1 binary64) |
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) |
(cos.f64 B) |
B |
(/.f64 (sin.f64 B) x) |
(sin.f64 B) |
x |
(/.f64 #s(literal 1 binary64) (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 (- (/ 1 (sin B)) (/ x (tan B))) (/.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))) (-.f64 #s(literal 1 binary64) x)) B)) |
(/.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))) (-.f64 #s(literal 1 binary64) x)) B) |
(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))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 B 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))) |
(fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) |
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 1/3 binary64) |
#s(literal 1/6 binary64) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (sin.f64 B)) |
#s(literal -1 binary64) |
(sin.f64 B) |
B |
(fma.f64 x (cos.f64 B) #s(literal -1 binary64)) |
x |
(cos.f64 B) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 (fma.f64 (cos.f64 B) x #s(literal -1 binary64)) (neg.f64 (sin.f64 B))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))) |
(/.f64 (*.f64 (cos.f64 B) x) (neg.f64 (sin.f64 B))) |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) |
#s(literal 1 binary64) |
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(cos.f64 B) |
B |
(/.f64 (sin.f64 B) x) |
(sin.f64 B) |
x |
(/.f64 #s(literal 1 binary64) (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))) (/.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 (- (/ 1 (sin B)) (/ x (tan B))) (/.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))) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (fma.f64 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))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))) |
(/.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))) (-.f64 #s(literal 1 binary64) x)) B) |
(fma.f64 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))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
(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))) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) (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))) x)) |
(*.f64 B 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))) |
(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))) |
(fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) |
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 1/3 binary64) |
#s(literal 1/6 binary64) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 (cos.f64 B) x #s(literal -1 binary64)) (neg.f64 (sin.f64 B)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (cos.f64 B) x #s(literal -1 binary64)) (neg.f64 (sin.f64 B))) |
(/.f64 #s(literal -1 binary64) (sin.f64 B)) |
#s(literal -1 binary64) |
(sin.f64 B) |
B |
(fma.f64 x (cos.f64 B) #s(literal -1 binary64)) |
(fma.f64 (cos.f64 B) x #s(literal -1 binary64)) |
x |
(cos.f64 B) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64)))) | |
| accuracy | 0.0546875 | (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) | |
| accuracy | 0.125 | (/.f64 #s(literal -1 binary64) (sin.f64 B)) | |
| accuracy | 0.1640625 | (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64))) | |
| accuracy | 0.1015625 | (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) | |
| accuracy | 0.1796875 | (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) | |
| accuracy | 1.6352757995685097 | (/.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))) (-.f64 #s(literal 1 binary64) x)) B) | |
| accuracy | 31.409541763268088 | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.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))) (-.f64 #s(literal 1 binary64) x)) B)) | |
| accuracy | 0.11328125 | (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) | |
| accuracy | 0.1796875 | (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) | |
| accuracy | 10.977067314659607 | (/.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 | 31.20338476799164 | #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 | 0.0078125 | (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B) | |
| accuracy | 31.538836964593692 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) | |
| accuracy | 31.569648593004946 | #s(approx (- 1 x) #s(literal 1 binary64)) | |
| accuracy | 0.125 | (/.f64 #s(literal 1 binary64) (sin.f64 B)) | |
| accuracy | 0.23046875 | (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))) | |
| accuracy | 0.24609375 | (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) | |
| accuracy | 0.5119377592684928 | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
| 98.0ms | 255× | 0 | valid |
| 2.0ms | 1× | 3 | valid |
Compiled 276 to 45 computations (83.7% saved)
ival-div: 20.0ms (25.4% of total)ival-mult: 17.0ms (21.6% of total)const: 11.0ms (14% of total)ival-add: 8.0ms (10.2% of total)ival-cos: 7.0ms (8.9% of total)ival-tan: 5.0ms (6.3% of total)ival-sin: 5.0ms (6.3% of total)ival-sub: 3.0ms (3.8% of total)ival-neg: 1.0ms (1.3% of total)adjust: 0.0ms (0% 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) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (patch (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) #<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 #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 (-.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 (-.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 (/.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))) (-.f64 #s(literal 1 binary64) x)) B) (patch (/.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))) (-.f64 #s(literal 1 binary64) x)) B) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.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))) (-.f64 #s(literal 1 binary64) x)) B)) (patch #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.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))) (-.f64 #s(literal 1 binary64) x)) B)) #<representation binary64>) () ()) |
#s(alt (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))) (-.f64 #s(literal 1 binary64) x)) (patch (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))) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 B B) (patch (*.f64 B B) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64)))) (patch #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64)))) #<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 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (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 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) (patch (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (patch (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (+ 1 (* -1 x)) B) (taylor 0 B) (#s(alt (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/6 (* -1 (- (* -1/2 x) (* -1/6 x))))))) B) (taylor 0 B) (#s(alt (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/6 (+ (* -1 (- (* -1/2 x) (* -1/6 x))) (* (pow B 2) (+ 7/360 (* -1 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))))))))))) B) (taylor 0 B) (#s(alt (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/6 (+ (* -1 (- (* -1/2 x) (* -1/6 x))) (* (pow B 2) (+ 7/360 (+ (* -1 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x)))) (* (pow B 2) (+ 31/15120 (* -1 (- (* -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))))))))))))))))) B) (taylor 0 B) (#s(alt (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.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 (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.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 (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.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 (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.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 (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.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 (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.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 (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.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 (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.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 (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (sin B)) (taylor 0 x) (#s(alt (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.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 (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.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 (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.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 (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.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 (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))) (/.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))) (/.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))) (/.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.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 (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ()) |
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#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 1/6 (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 (+ 1/6 (* 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 x) (#s(alt (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) (patch (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 7/360 (* 1/45 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) (patch (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 7/360 (* 1/45 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) (patch (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 7/360 (* 1/45 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) (patch (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/45 x) (taylor inf x) (#s(alt (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) (patch (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/45 (* 7/360 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) (patch (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/45 (* 7/360 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) (patch (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/45 (* 7/360 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) (patch (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/45 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) (patch (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/45 (* 7/360 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) (patch (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/45 (* 7/360 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) (patch (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/45 (* 7/360 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) (patch (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 x) (#s(alt (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (patch (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (cos B)) 1) (taylor 0 x) (#s(alt (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (patch (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (cos B)) 1) (taylor 0 x) (#s(alt (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (patch (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (cos B)) 1) (taylor 0 x) (#s(alt (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (patch (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos B)) (taylor inf x) (#s(alt (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (patch (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (cos B) (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (patch (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (cos B) (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (patch (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (cos B) (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (patch (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos B)) (taylor -inf x) (#s(alt (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (patch (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (cos B)) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (patch (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (cos B)) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (patch (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (cos B)) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (patch (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- x 1) (taylor 0 B) (#s(alt (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (patch (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* -1/2 (* (pow B 2) x))) 1) (taylor 0 B) (#s(alt (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (patch (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* (pow B 2) (+ (* -1/2 x) (* 1/24 (* (pow B 2) x))))) 1) (taylor 0 B) (#s(alt (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (patch (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* (pow B 2) (+ (* -1/2 x) (* (pow B 2) (+ (* -1/720 (* (pow B 2) x)) (* 1/24 x)))))) 1) (taylor 0 B) (#s(alt (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (patch (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (cos B)) 1) (taylor inf B) (#s(alt (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (patch (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (cos B)) 1) (taylor inf B) (#s(alt (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (patch (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (cos B)) 1) (taylor inf B) (#s(alt (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (patch (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (cos B)) 1) (taylor inf B) (#s(alt (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (patch (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (cos B)) 1) (taylor -inf B) (#s(alt (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (patch (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (cos B)) 1) (taylor -inf B) (#s(alt (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (patch (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (cos B)) 1) (taylor -inf B) (#s(alt (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (patch (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (cos B)) 1) (taylor -inf B) (#s(alt (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (patch (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
117 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | B | @ | 0 | (/ -1 (sin B)) |
| 4.0ms | B | @ | inf | (+ (/ -1 (/ 1 (/ (cos B) (/ (sin B) x)))) (/ 1 (sin B))) |
| 1.0ms | B | @ | 0 | (+ (/ -1 (/ 1 (/ (cos B) (/ (sin B) x)))) (/ 1 (sin B))) |
| 1.0ms | B | @ | inf | (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) |
| 1.0ms | x | @ | 0 | (/ (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) 7/360)) (+ (* x 1/3) 1/6))) (- 1 x)) B) |
| 1× | egg-herbie |
| 12 306× | lower-fma.f64 |
| 12 306× | lower-fma.f32 |
| 5 406× | lower-*.f64 |
| 5 406× | lower-*.f32 |
| 3 982× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 460 | 5701 |
| 1 | 1450 | 5534 |
| 2 | 4914 | 5087 |
| 0 | 8361 | 4685 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ 1 (* -1 x)) B) |
(/ (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/6 (* -1 (- (* -1/2 x) (* -1/6 x))))))) B) |
(/ (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/6 (+ (* -1 (- (* -1/2 x) (* -1/6 x))) (* (pow B 2) (+ 7/360 (* -1 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))))))))))) B) |
(/ (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/6 (+ (* -1 (- (* -1/2 x) (* -1/6 x))) (* (pow B 2) (+ 7/360 (+ (* -1 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x)))) (* (pow B 2) (+ 31/15120 (* -1 (- (* -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))))))))))))))))) 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 (/ (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)))))) |
(/ B x) |
(* B (+ (* 1/3 (/ (pow B 2) x)) (/ 1 x))) |
(* B (+ (* (pow B 2) (+ (* 2/15 (/ (pow B 2) x)) (* 1/3 (/ 1 x)))) (/ 1 x))) |
(* B (+ (* (pow B 2) (+ (* (pow B 2) (+ (* 17/315 (/ (pow B 2) x)) (* 2/15 (/ 1 x)))) (* 1/3 (/ 1 x)))) (/ 1 x))) |
(/ (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 (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))) |
(* -1 (/ x B)) |
(/ (+ (* -1 x) (* -1 (* (pow B 2) (- (* -1/2 x) (* -1/6 x))))) B) |
(/ (+ (* -1 x) (* (pow B 2) (+ (* -1 (* (pow B 2) (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))))) (* -1 (- (* -1/2 x) (* -1/6 x)))))) B) |
(/ (+ (* -1 x) (* (pow B 2) (+ (* -1 (- (* -1/2 x) (* -1/6 x))) (* (pow B 2) (+ (* -1 (* (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 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 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 (/ (* 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))) |
(/ 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)) |
(/ (* 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)) |
(/ 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)))) |
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1 |
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1 |
(+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) |
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(/ (- 1 x) B) |
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(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (* 1/45 x))))))) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (* 1/45 x))))))) x) B) |
(* (pow B 3) (+ 7/360 (* 1/45 x))) |
(* (pow B 3) (+ 7/360 (+ (* 1/45 x) (+ (* 1/3 (/ x (pow B 2))) (* 1/6 (/ 1 (pow B 2))))))) |
(* (pow B 3) (- (+ 7/360 (+ (* 1/45 x) (+ (* 1/3 (/ x (pow B 2))) (+ (* 1/6 (/ 1 (pow B 2))) (/ 1 (pow B 4)))))) (/ x (pow B 4)))) |
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(* -1 (* (pow B 3) (+ (* -1 (+ 7/360 (* 1/45 x))) (* -1 (/ (+ 1/6 (* 1/3 x)) (pow B 2)))))) |
(* -1 (* (pow B 3) (+ (* -1 (+ 7/360 (* 1/45 x))) (+ (* -1 (/ (+ 1/6 (* 1/3 x)) (pow B 2))) (* -1 (/ (- 1 x) (pow B 4))))))) |
(* -1 (* (pow B 3) (+ (* -1 (+ 7/360 (* 1/45 x))) (+ (* -1 (/ (+ 1/6 (* 1/3 x)) (pow B 2))) (* -1 (/ (- 1 x) (pow B 4))))))) |
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(+ (* B (+ 1/6 (* 7/360 (pow B 2)))) (+ (* x (- (* B (+ 1/3 (* 1/45 (pow B 2)))) (/ 1 B))) (/ 1 B))) |
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(* x (- (+ (* B (+ 1/3 (* 1/45 (pow B 2)))) (+ (/ 1 (* B x)) (/ (* B (+ 1/6 (* 7/360 (pow B 2)))) x))) (/ 1 B))) |
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(* -1 (* x (+ (* -1 (/ (+ (* B (+ 1/6 (* 7/360 (pow B 2)))) (/ 1 B)) x)) (+ (* B (- (* -1/45 (pow B 2)) 1/3)) (/ 1 B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* B (+ 1/6 (* 7/360 (pow B 2)))) (/ 1 B)) x)) (+ (* B (- (* -1/45 (pow B 2)) 1/3)) (/ 1 B))))) |
(/ (- 1 x) B) |
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(/ (- (+ 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) |
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(/ 1 (sin B)) |
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(* -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) (* (pow B 2) (+ 7/360 (* 1/45 x))))))) x) |
(- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (* 1/45 x))))))) x) |
(* (pow B 4) (+ 7/360 (* 1/45 x))) |
(* (pow B 4) (+ 7/360 (+ (* 1/45 x) (+ (* 1/3 (/ x (pow B 2))) (* 1/6 (/ 1 (pow B 2))))))) |
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(* (pow B 4) (- (+ 7/360 (+ (* 1/45 x) (+ (* 1/3 (/ x (pow B 2))) (+ (* 1/6 (/ 1 (pow B 2))) (/ 1 (pow B 4)))))) (/ x (pow B 4)))) |
(* (pow B 4) (+ 7/360 (* 1/45 x))) |
(* (pow B 4) (+ 7/360 (+ (* 1/45 x) (+ (* 1/3 (/ x (pow B 2))) (* 1/6 (/ 1 (pow B 2))))))) |
(* (pow B 4) (- (+ 7/360 (+ (* 1/45 x) (+ (* 1/3 (/ x (pow B 2))) (+ (* 1/6 (/ 1 (pow B 2))) (/ 1 (pow B 4)))))) (/ x (pow B 4)))) |
(* (pow B 4) (- (+ 7/360 (+ (* 1/45 x) (+ (* 1/3 (/ x (pow B 2))) (+ (* 1/6 (/ 1 (pow B 2))) (/ 1 (pow B 4)))))) (/ x (pow B 4)))) |
(+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) |
(+ 1 (+ (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1)) (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2)))))) |
(+ 1 (+ (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1)) (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2)))))) |
(+ 1 (+ (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1)) (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2)))))) |
(* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1)) |
(* x (- (+ (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) (+ (/ 1 x) (/ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2)))) x))) 1)) |
(* x (- (+ (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) (+ (/ 1 x) (/ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2)))) x))) 1)) |
(* x (- (+ (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) (+ (/ 1 x) (/ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2)))) x))) 1)) |
(* -1 (* x (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) x)) (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3)))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) x)) (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3)))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) x)) (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3)))))) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(* -1 (/ (- x 1) B)) |
(/ (+ (* -1 (* (pow B 2) (- (* -1/2 x) (* -1/6 (- x 1))))) (* -1 (- x 1))) B) |
(/ (+ (* -1 (- x 1)) (* (pow B 2) (+ (* -1 (* (pow B 2) (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 (- x 1)))) (* 1/120 (- x 1)))))) (* -1 (- (* -1/2 x) (* -1/6 (- x 1))))))) B) |
(/ (+ (* -1 (- x 1)) (* (pow B 2) (+ (* -1 (- (* -1/2 x) (* -1/6 (- x 1)))) (* (pow B 2) (+ (* -1 (* (pow B 2) (- (* -1/720 x) (+ (* -1/6 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 (- x 1)))) (* 1/120 (- x 1))))) (+ (* -1/5040 (- x 1)) (* 1/120 (- (* -1/2 x) (* -1/6 (- x 1))))))))) (* -1 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 (- x 1)))) (* 1/120 (- x 1)))))))))) B) |
(* -1 (/ (- (* x (cos B)) 1) (sin B))) |
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(* -1 (/ (- (* x (cos B)) 1) (sin B))) |
(/ 1 (sin B)) |
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(* -1 (/ (* x (cos B)) (sin B))) |
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(* -1 (/ (* x (cos B)) (sin B))) |
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(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(/ (- 1 x) B) |
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(/ (- (+ 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) |
(/ (- (* -1/6 (pow B 2)) 1) B) |
(/ (- (* (pow B 2) (- (* -7/360 (pow B 2)) 1/6)) 1) B) |
(/ (- (* (pow B 2) (- (* (pow B 2) (- (* -31/15120 (pow B 2)) 7/360)) 1/6)) 1) 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) |
(/ 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)) |
1/6 |
(+ 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 (* 1/45 x)) |
(+ 7/360 (* 1/45 x)) |
(+ 7/360 (* 1/45 x)) |
(* 1/45 x) |
(* x (+ 1/45 (* 7/360 (/ 1 x)))) |
(* x (+ 1/45 (* 7/360 (/ 1 x)))) |
(* x (+ 1/45 (* 7/360 (/ 1 x)))) |
(* 1/45 x) |
(* x (+ 1/45 (* 7/360 (/ 1 x)))) |
(* x (+ 1/45 (* 7/360 (/ 1 x)))) |
(* x (+ 1/45 (* 7/360 (/ 1 x)))) |
-1 |
(- (* x (cos B)) 1) |
(- (* x (cos B)) 1) |
(- (* x (cos B)) 1) |
(* x (cos B)) |
(* x (- (cos B) (/ 1 x))) |
(* x (- (cos B) (/ 1 x))) |
(* x (- (cos B) (/ 1 x))) |
(* x (cos B)) |
(* -1 (* x (+ (* -1 (cos B)) (/ 1 x)))) |
(* -1 (* x (+ (* -1 (cos B)) (/ 1 x)))) |
(* -1 (* x (+ (* -1 (cos B)) (/ 1 x)))) |
(- x 1) |
(- (+ x (* -1/2 (* (pow B 2) x))) 1) |
(- (+ x (* (pow B 2) (+ (* -1/2 x) (* 1/24 (* (pow B 2) x))))) 1) |
(- (+ x (* (pow B 2) (+ (* -1/2 x) (* (pow B 2) (+ (* -1/720 (* (pow B 2) x)) (* 1/24 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)) 1) |
| Outputs |
|---|
(/ (+ 1 (* -1 x)) B) |
(/.f64 (-.f64 #s(literal 1 binary64) x) B) |
(/ (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/6 (* -1 (- (* -1/2 x) (* -1/6 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 (- (* -1/2 x) (* -1/6 x))) (* (pow B 2) (+ 7/360 (* -1 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))))))))))) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 (*.f64 B B) (+.f64 #s(literal 7/360 binary64) (fma.f64 x #s(literal -1/24 binary64) (*.f64 x #s(literal 23/360 binary64)))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(/ (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/6 (+ (* -1 (- (* -1/2 x) (* -1/6 x))) (* (pow B 2) (+ 7/360 (+ (* -1 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x)))) (* (pow B 2) (+ 31/15120 (* -1 (- (* -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))))))))))))))))) B) |
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 (*.f64 B B) (+.f64 #s(literal 7/360 binary64) (fma.f64 (*.f64 B B) (+.f64 #s(literal 31/15120 binary64) (fma.f64 x #s(literal 1/720 binary64) (fma.f64 #s(literal -1/6 binary64) (fma.f64 x #s(literal -1/72 binary64) (*.f64 x #s(literal -1/120 binary64))) (*.f64 x #s(literal -1/336 binary64))))) (fma.f64 x #s(literal -1/24 binary64) (*.f64 x #s(literal 23/360 binary64))))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x) B) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(/.f64 (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (neg.f64 (sin.f64 B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(/.f64 (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (neg.f64 (sin.f64 B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(/.f64 (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (neg.f64 (sin.f64 B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(/.f64 (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (neg.f64 (sin.f64 B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(/.f64 (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (neg.f64 (sin.f64 B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(/.f64 (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (neg.f64 (sin.f64 B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(/.f64 (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (neg.f64 (sin.f64 B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(/.f64 (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (neg.f64 (sin.f64 B))) |
(/ 1 (sin B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(/.f64 (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (neg.f64 (sin.f64 B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(/.f64 (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (neg.f64 (sin.f64 B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(/.f64 (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (neg.f64 (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 (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (neg.f64 (sin.f64 B))) |
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B))))) |
(/.f64 (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (neg.f64 (sin.f64 B))) |
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B))))) |
(/.f64 (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (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)) (/ 1 (* x (sin B)))))) |
(/.f64 (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (neg.f64 (sin.f64 B))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(/.f64 (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (neg.f64 (sin.f64 B))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(/.f64 (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (neg.f64 (sin.f64 B))) |
(/ B x) |
(/.f64 B x) |
(* B (+ (* 1/3 (/ (pow B 2) x)) (/ 1 x))) |
(*.f64 B (*.f64 (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))) |
(* B (+ (* (pow B 2) (+ (* 2/15 (/ (pow B 2) x)) (* 1/3 (/ 1 x)))) (/ 1 x))) |
(fma.f64 B (*.f64 (/.f64 (*.f64 B B) x) (fma.f64 (*.f64 B B) #s(literal 2/15 binary64) #s(literal 1/3 binary64))) (/.f64 B x)) |
(* B (+ (* (pow B 2) (+ (* (pow B 2) (+ (* 17/315 (/ (pow B 2) x)) (* 2/15 (/ 1 x)))) (* 1/3 (/ 1 x)))) (/ 1 x))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 B B) x) (fma.f64 (*.f64 B B) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 B (*.f64 B B)) (/.f64 B x)) |
(/ (sin B) (* x (cos B))) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/ (sin B) (* x (cos B))) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/ (sin B) (* x (cos B))) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/ (sin B) (* x (cos B))) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/ (sin B) (* x (cos B))) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/ (sin B) (* x (cos B))) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/ (sin B) (* x (cos B))) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/ (sin B) (* x (cos B))) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/ (sin B) (* x (cos B))) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/ (sin B) (* x (cos B))) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/ (sin B) (* x (cos B))) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/ (sin B) (* x (cos B))) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/ (sin B) (* x (cos B))) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/ (sin B) (* x (cos B))) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/ (sin B) (* x (cos B))) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/ (sin B) (* x (cos B))) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/ (sin B) (* x (cos B))) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/ (sin B) (* x (cos B))) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/ (sin B) (* x (cos B))) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/ (sin B) (* x (cos B))) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(* -1 (/ x B)) |
(/.f64 x (neg.f64 B)) |
(/ (+ (* -1 x) (* -1 (* (pow B 2) (- (* -1/2 x) (* -1/6 x))))) B) |
(/.f64 (*.f64 x (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal -1 binary64))) B) |
(/ (+ (* -1 x) (* (pow B 2) (+ (* -1 (* (pow B 2) (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))))) (* -1 (- (* -1/2 x) (* -1/6 x)))))) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal -1/24 binary64) (*.f64 x #s(literal 23/360 binary64))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) B) |
(/ (+ (* -1 x) (* (pow B 2) (+ (* -1 (- (* -1/2 x) (* -1/6 x))) (* (pow B 2) (+ (* -1 (* (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 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))))))))) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/720 binary64) (fma.f64 #s(literal -1/6 binary64) (fma.f64 x #s(literal -1/72 binary64) (*.f64 x #s(literal -1/120 binary64))) (*.f64 x #s(literal -1/336 binary64)))) (fma.f64 x #s(literal -1/24 binary64) (*.f64 x #s(literal 23/360 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))) |
(* -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))) |
(/ x B) |
(/.f64 x B) |
(/ (+ x (* (pow B 2) (- (* -1/2 x) (* -1/6 x)))) B) |
(/.f64 (fma.f64 (*.f64 B B) (*.f64 x #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) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal -1/72 binary64) (*.f64 x #s(literal -1/120 binary64))) (*.f64 x #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 (*.f64 B B) (fma.f64 (*.f64 B B) (-.f64 (*.f64 x #s(literal -1/720 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 x #s(literal -1/72 binary64) (*.f64 x #s(literal -1/120 binary64))) (*.f64 x #s(literal -1/336 binary64)))) (fma.f64 x #s(literal -1/72 binary64) (*.f64 x #s(literal -1/120 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)) |
(/ (* 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)) |
(/ 1 (sin B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(/.f64 (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (neg.f64 (sin.f64 B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(/.f64 (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (neg.f64 (sin.f64 B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(/.f64 (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (neg.f64 (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 (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (neg.f64 (sin.f64 B))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(/.f64 (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (neg.f64 (sin.f64 B))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(/.f64 (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (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)) (/ 1 (* x (sin B)))))) |
(/.f64 (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (neg.f64 (sin.f64 B))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(/.f64 (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (neg.f64 (sin.f64 B))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(/.f64 (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (neg.f64 (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 (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 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 B (*.f64 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 (* (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) |
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(/.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)) |
1/6 |
#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 (* 1/45 x)) |
(fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) |
(+ 7/360 (* 1/45 x)) |
(fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) |
(+ 7/360 (* 1/45 x)) |
(fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) |
(* 1/45 x) |
(*.f64 x #s(literal 1/45 binary64)) |
(* x (+ 1/45 (* 7/360 (/ 1 x)))) |
(fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) |
(* x (+ 1/45 (* 7/360 (/ 1 x)))) |
(fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) |
(* x (+ 1/45 (* 7/360 (/ 1 x)))) |
(fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) |
(* 1/45 x) |
(*.f64 x #s(literal 1/45 binary64)) |
(* x (+ 1/45 (* 7/360 (/ 1 x)))) |
(fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) |
(* x (+ 1/45 (* 7/360 (/ 1 x)))) |
(fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) |
(* x (+ 1/45 (* 7/360 (/ 1 x)))) |
(fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* x (cos B)) 1) |
(fma.f64 x (cos.f64 B) #s(literal -1 binary64)) |
(- (* x (cos B)) 1) |
(fma.f64 x (cos.f64 B) #s(literal -1 binary64)) |
(- (* x (cos B)) 1) |
(fma.f64 x (cos.f64 B) #s(literal -1 binary64)) |
(* x (cos B)) |
(*.f64 x (cos.f64 B)) |
(* x (- (cos B) (/ 1 x))) |
(fma.f64 x (cos.f64 B) #s(literal -1 binary64)) |
(* x (- (cos B) (/ 1 x))) |
(fma.f64 x (cos.f64 B) #s(literal -1 binary64)) |
(* x (- (cos B) (/ 1 x))) |
(fma.f64 x (cos.f64 B) #s(literal -1 binary64)) |
(* x (cos B)) |
(*.f64 x (cos.f64 B)) |
(* -1 (* x (+ (* -1 (cos B)) (/ 1 x)))) |
(fma.f64 x (cos.f64 B) #s(literal -1 binary64)) |
(* -1 (* x (+ (* -1 (cos B)) (/ 1 x)))) |
(fma.f64 x (cos.f64 B) #s(literal -1 binary64)) |
(* -1 (* x (+ (* -1 (cos B)) (/ 1 x)))) |
(fma.f64 x (cos.f64 B) #s(literal -1 binary64)) |
(- x 1) |
(+.f64 #s(literal -1 binary64) x) |
(- (+ x (* -1/2 (* (pow B 2) x))) 1) |
(fma.f64 x (fma.f64 (*.f64 B B) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(- (+ x (* (pow B 2) (+ (* -1/2 x) (* 1/24 (* (pow B 2) x))))) 1) |
(+.f64 x (fma.f64 (*.f64 x (*.f64 B B)) (fma.f64 (*.f64 B B) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(- (+ x (* (pow B 2) (+ (* -1/2 x) (* (pow B 2) (+ (* -1/720 (* (pow B 2) x)) (* 1/24 x)))))) 1) |
(fma.f64 (*.f64 B B) (fma.f64 (*.f64 x (*.f64 B B)) (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)) |
(- (* x (cos B)) 1) |
(fma.f64 x (cos.f64 B) #s(literal -1 binary64)) |
(- (* x (cos B)) 1) |
(fma.f64 x (cos.f64 B) #s(literal -1 binary64)) |
(- (* x (cos B)) 1) |
(fma.f64 x (cos.f64 B) #s(literal -1 binary64)) |
(- (* x (cos B)) 1) |
(fma.f64 x (cos.f64 B) #s(literal -1 binary64)) |
(- (* x (cos B)) 1) |
(fma.f64 x (cos.f64 B) #s(literal -1 binary64)) |
(- (* x (cos B)) 1) |
(fma.f64 x (cos.f64 B) #s(literal -1 binary64)) |
(- (* x (cos B)) 1) |
(fma.f64 x (cos.f64 B) #s(literal -1 binary64)) |
(- (* x (cos B)) 1) |
(fma.f64 x (cos.f64 B) #s(literal -1 binary64)) |
| 6 022× | lower-fma.f32 |
| 6 010× | lower-fma.f64 |
| 4 200× | lower-/.f32 |
| 4 182× | lower-/.f64 |
| 3 904× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 258 |
| 0 | 74 | 255 |
| 1 | 354 | 232 |
| 2 | 3228 | 232 |
| 0 | 8300 | 232 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))) |
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) |
#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(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 (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))) (-.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 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)) |
(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))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 B B) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (sin.f64 B)) |
(sin.f64 B) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
(fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) |
(fma.f64 x (cos.f64 B) #s(literal -1 binary64)) |
| Outputs |
|---|
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (neg.f64 (/.f64 x (tan.f64 B)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 B) x) #s(literal 1 binary64)) (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) (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 (fma.f64 (cos.f64 B) x #s(literal 1 binary64)) (neg.f64 (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 (fma.f64 (cos.f64 B) x #s(literal 1 binary64)) (neg.f64 (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))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (fma.f64 (cos.f64 B) x #s(literal 1 binary64))) (neg.f64 (sin.f64 B))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 B) x #s(literal 1 binary64))) (neg.f64 (sin.f64 B)))) |
(-.f64 (/.f64 (/.f64 (tan.f64 B) x) (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x))) (/.f64 (sin.f64 B) (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x)))) |
(-.f64 (/.f64 (pow.f64 (sin.f64 B) #s(literal -3 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)) (neg.f64 (/.f64 x (tan.f64 B)))) (sin.f64 B)))) (/.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 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)) (neg.f64 (/.f64 x (tan.f64 B)))) (sin.f64 B))))) |
(-.f64 (/.f64 (pow.f64 (sin.f64 B) #s(literal -3 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 (/.f64 (fma.f64 (cos.f64 B) x #s(literal 1 binary64)) (neg.f64 (sin.f64 B))) (neg.f64 (/.f64 (tan.f64 B) x))))) (/.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 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 (/.f64 (fma.f64 (cos.f64 B) x #s(literal 1 binary64)) (neg.f64 (sin.f64 B))) (neg.f64 (/.f64 (tan.f64 B) x)))))) |
(-.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)) (neg.f64 (/.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)) (neg.f64 (/.f64 x (tan.f64 B)))))) |
(-.f64 (/.f64 (neg.f64 (/.f64 (tan.f64 B) x)) (*.f64 (neg.f64 (sin.f64 B)) (/.f64 (tan.f64 B) x))) (/.f64 (*.f64 (neg.f64 (sin.f64 B)) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 B)) (/.f64 (tan.f64 B) x)))) |
(-.f64 (/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 B))) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 (tan.f64 B)))) (/.f64 (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 x)) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 (tan.f64 B))))) |
(-.f64 (/.f64 (neg.f64 (tan.f64 B)) (*.f64 (neg.f64 (sin.f64 B)) (tan.f64 B))) (/.f64 (*.f64 (neg.f64 (sin.f64 B)) x) (*.f64 (neg.f64 (sin.f64 B)) (tan.f64 B)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 B))) (*.f64 (sin.f64 B) (neg.f64 (tan.f64 B)))) (/.f64 (*.f64 (sin.f64 B) (neg.f64 x)) (*.f64 (sin.f64 B) (neg.f64 (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) (sin.f64 B)) (neg.f64 (/.f64 x (tan.f64 B)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (cos.f64 B) x)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x (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)) (neg.f64 (/.f64 x (tan.f64 B)))) |
(fma.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (cos.f64 B) (*.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.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 x (*.f64 (cos.f64 B) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (neg.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) (sin.f64 B)) #s(literal 1 binary64) (neg.f64 (/.f64 x (tan.f64 B)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 #s(literal 1 binary64) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) #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 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 (*.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.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) (sin.f64 B)) #s(literal -1 binary64) (neg.f64 (/.f64 x (tan.f64 B)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (*.f64 (cos.f64 B) x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 (neg.f64 (cos.f64 B)) (neg.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (*.f64 (cos.f64 B) x) (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (/.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 (cos.f64 B) (*.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 x (sin.f64 B)) (/.f64 (cos.f64 B) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 x (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.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)) (/.f64 x #s(literal 1 binary64)) (/.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 (/.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)) (neg.f64 (/.f64 x (tan.f64 B)))) |
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (cos.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
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(+.f64 #s(literal -1 binary64) (*.f64 (cos.f64 B) x)) |
(+.f64 (*.f64 (cos.f64 B) x) #s(literal -1 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (fma.f64 (cos.f64 B) x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 B) x #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 B) x))) (/.f64 (*.f64 (*.f64 x x) (+.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 (cos.f64 B) x)))) |
(fma.f64 (cos.f64 B) x #s(literal -1 binary64)) |
(fma.f64 x (cos.f64 B) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 x x) (+.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 (cos.f64 B) (*.f64 x #s(literal -1 binary64))))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 B) x) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (cos.f64 B) x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (+.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 (cos.f64 B) (*.f64 x #s(literal -1 binary64))))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 B) x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 B) x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) #s(literal -1 binary64)))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 B) x) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (+.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 (cos.f64 B) (*.f64 x #s(literal -1 binary64)))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 B) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (*.f64 (cos.f64 B) (*.f64 x #s(literal -1 binary64)))))) |
(/.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) #s(literal -1 binary64)) (fma.f64 (cos.f64 B) x #s(literal 1 binary64))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 B) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (+.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 (cos.f64 B) (*.f64 x #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 B) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (*.f64 (cos.f64 B) (*.f64 x #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) #s(literal -1 binary64))) (neg.f64 (fma.f64 (cos.f64 B) x #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.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 (cos.f64 B) x))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 B) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (+.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 (cos.f64 B) (*.f64 x #s(literal -1 binary64)))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 B) x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))))) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 B) x)))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) (+.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 (cos.f64 B) (*.f64 x #s(literal -1 binary64))))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 B) x) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (cos.f64 B) x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 B) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (+.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 (cos.f64 B) (*.f64 x #s(literal -1 binary64))))))) |
(*.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 B) x #s(literal 1 binary64)))) |
Compiled 35 889 to 2 953 computations (91.8% saved)
56 alts after pruning (52 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 540 | 19 | 1 559 |
| Fresh | 2 | 33 | 35 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 546 | 56 | 1 602 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (/.f64 (fma.f64 (cos.f64 B) x #s(literal -1 binary64)) (neg.f64 (sin.f64 B))) |
| 88.1% | (/.f64 (-.f64 (/.f64 (tan.f64 B) x) (sin.f64 B)) (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x))) | |
| 43.9% | (-.f64 (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 x (tan.f64 B))) | |
| ✓ | 99.8% | (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
| 75.6% | (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B))) | |
| 75.5% | (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) | |
| 75.5% | (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) | |
| 59.8% | (+.f64 (neg.f64 (*.f64 x (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) | |
| 75.5% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) | |
| 99.6% | (*.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 (sin.f64 B) x)) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (tan.f64 B))) | |
| 82.5% | (*.f64 (-.f64 (tan.f64 B) (*.f64 (sin.f64 B) x)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (tan.f64 B)))) | |
| 51.0% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(approx (+ (* x 1/45) 7/360) (*.f64 x #s(literal 1/45 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) | |
| 50.8% | #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) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) | |
| 41.3% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (/.f64 (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))) #s(literal 1 binary64)) x) B)) | |
| 51.2% | #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)) | |
| 50.9% | #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)) | |
| 26.4% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 x (*.f64 (*.f64 B B) #s(literal 1/3 binary64)))) x) B)) | |
| 48.5% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (*.f64 (+.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 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x))) (*.f64 B (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) x))))) | |
| 50.7% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))) | |
| 27.1% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64))) B)) | |
| 26.4% | #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)) | |
| 26.1% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) 7/360)) (+ (* x 1/3) 1/6))) (- 1 x)) (*.f64 x (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)))) B)) | |
| ▶ | 51.1% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) (/.f64 B (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x))))) |
| 51.1% | #s(approx (- (/ 1 (sin B)) (/ x (tan 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)) (/.f64 #s(literal 1 binary64) B))) | |
| ▶ | 75.6% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)))) |
| 50.9% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64)))) | |
| 51.2% | #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))))) | |
| ▶ | 3.2% | #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))))) |
| 26.1% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) 7/360)) (+ (* x 1/3) 1/6))) (- 1 x)) B) (/.f64 (fma.f64 (*.f64 x (*.f64 B B)) (fma.f64 B (*.f64 B #s(literal -1/45 binary64)) #s(literal -1/3 binary64)) x) (neg.f64 B)))) | |
| 2.3% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) 7/360)) (+ (* x 1/3) 1/6))) (- 1 x)) B) (*.f64 (*.f64 B (*.f64 B B)) (+.f64 (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B)))))) | |
| 36.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (pow.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 18.6% | #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))) | |
| 37.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) B)) | |
| 49.3% | #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)) | |
| 50.7% | #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)) | |
| 50.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) | |
| 31.8% | #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)))) | |
| 33.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 B (*.f64 B x)) (*.f64 B B))) | |
| 37.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (fma.f64 B (fma.f64 x x x) B))) | |
| 49.0% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 B x B))) | |
| ✓ | 50.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
| 25.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B)) | |
| ✓ | 26.8% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) |
| 50.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x)))) | |
| ✓ | 50.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 26.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) #s(approx (sin B) (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)))) | |
| 26.9% | #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 B (fma.f64 B (*.f64 B #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) B)))) | |
| 26.9% | #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)))) | |
| 16.9% | #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))))) | |
| 50.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B))) | |
| 50.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x))) | |
| 37.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 #s(literal 1 binary64) B)))) | |
| ▶ | 49.0% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 B x B)))) |
| 49.0% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) B)))) | |
| 26.9% | #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 B (*.f64 B #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B))) | |
| 27.1% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ 1 (sin 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))) |
Compiled 1 771 to 1 018 computations (42.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 B) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (sin.f64 B)) | |
| cost-diff | 0 | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)))) | |
| cost-diff | 192 | (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x))) | |
| cost-diff | 0 | (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (/.f64 B (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) (/.f64 B (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x))))) | |
| cost-diff | 1024 | (/.f64 #s(literal 1 binary64) (/.f64 B (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 B x B)))) | |
| cost-diff | 1024 | (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 B x 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 | (neg.f64 (sin.f64 B)) | |
| cost-diff | 0 | (cos.f64 B) | |
| cost-diff | 0 | (fma.f64 (cos.f64 B) x #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (cos.f64 B) x #s(literal -1 binary64)) (neg.f64 (sin.f64 B))) |
| 12 342× | lower-fma.f32 |
| 12 334× | lower-fma.f64 |
| 4 020× | lower-*.f32 |
| 4 012× | lower-*.f64 |
| 1 394× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 292 |
| 0 | 72 | 285 |
| 1 | 136 | 276 |
| 2 | 273 | 274 |
| 3 | 611 | 270 |
| 4 | 1440 | 270 |
| 5 | 3547 | 260 |
| 6 | 6563 | 260 |
| 0 | 8195 | 256 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 (cos.f64 B) x #s(literal -1 binary64)) (neg.f64 (sin.f64 B))) |
(fma.f64 (cos.f64 B) x #s(literal -1 binary64)) |
(cos.f64 B) |
B |
x |
#s(literal -1 binary64) |
(neg.f64 (sin.f64 B)) |
(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 (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 B x B)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 B x B))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
#s(literal 1 binary64) |
(*.f64 x x) |
x |
(/.f64 #s(literal 1 binary64) (fma.f64 B x B)) |
(fma.f64 B x B) |
B |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) (/.f64 B (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) (/.f64 B (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)))) |
#s(literal 1 binary64) |
(/.f64 B (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 |
(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 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 #s(literal 1 binary64) x) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x))) |
(/.f64 #s(literal -1 binary64) (sin.f64 B)) |
#s(literal -1 binary64) |
(sin.f64 B) |
B |
#s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)) |
(+.f64 #s(literal -1 binary64) x) |
x |
| Outputs |
|---|
(/.f64 (fma.f64 (cos.f64 B) x #s(literal -1 binary64)) (neg.f64 (sin.f64 B))) |
(fma.f64 (cos.f64 B) x #s(literal -1 binary64)) |
(cos.f64 B) |
B |
x |
#s(literal -1 binary64) |
(neg.f64 (sin.f64 B)) |
(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 (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin 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 (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 B x 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) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 B x B))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) B) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
#s(literal 1 binary64) |
(*.f64 x x) |
x |
(/.f64 #s(literal 1 binary64) (fma.f64 B x B)) |
(fma.f64 B x B) |
B |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) (/.f64 B (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x))))) |
#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 #s(literal 1 binary64) (/.f64 B (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
#s(literal 1 binary64) |
(/.f64 B (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 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)) |
B |
(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 (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 (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 #s(literal 1 binary64) x) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (+ (* x (cos B)) -1) (+.f64 x #s(literal -1 binary64))) (neg.f64 (sin.f64 B)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x))) |
(/.f64 #s(approx (+ (* x (cos B)) -1) (+.f64 x #s(literal -1 binary64))) (neg.f64 (sin.f64 B))) |
(/.f64 #s(literal -1 binary64) (sin.f64 B)) |
#s(literal -1 binary64) |
(sin.f64 B) |
B |
#s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)) |
#s(approx (+ (* x (cos B)) -1) (+.f64 x #s(literal -1 binary64))) |
(+.f64 #s(literal -1 binary64) x) |
(+.f64 x #s(literal -1 binary64)) |
x |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)))) | |
| accuracy | 0.125 | (/.f64 #s(literal -1 binary64) (sin.f64 B)) | |
| accuracy | 0.1640625 | (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x))) | |
| accuracy | 15.528811079620414 | #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)) | |
| accuracy | 0.1796875 | (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) | |
| accuracy | 0.28515625 | (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) | |
| accuracy | 11.108851219938467 | (/.f64 B (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x))) | |
| accuracy | 31.20338476799164 | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) (/.f64 B (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x))))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.23641062483277311 | (/.f64 #s(literal 1 binary64) (fma.f64 B x B)) | |
| accuracy | 11.056349567958973 | (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 B x B))) | |
| accuracy | 31.538836964593692 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 B x B)))) | |
| accuracy | 0.1796875 | (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) | |
| accuracy | 0.28515625 | (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) | |
| accuracy | 31.20338476799164 | #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 | 31.461510971194667 | #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 | (neg.f64 (sin.f64 B)) | |
| accuracy | 0 | (cos.f64 B) | |
| accuracy | 0.0546875 | (fma.f64 (cos.f64 B) x #s(literal -1 binary64)) | |
| accuracy | 0.1796875 | (/.f64 (fma.f64 (cos.f64 B) x #s(literal -1 binary64)) (neg.f64 (sin.f64 B))) |
| 123.0ms | 255× | 0 | valid |
| 2.0ms | 1× | 3 | valid |
Compiled 228 to 46 computations (79.8% saved)
ival-div: 41.0ms (38.9% of total)ival-mult: 23.0ms (21.8% of total)const: 9.0ms (8.5% of total)ival-add: 8.0ms (7.6% of total)ival-cos: 7.0ms (6.6% of total)ival-tan: 5.0ms (4.7% of total)ival-sin: 5.0ms (4.7% of total)ival-sub: 4.0ms (3.8% of total)ival-neg: 2.0ms (1.9% of total)adjust: 0.0ms (0% 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 (fma.f64 (cos.f64 B) x #s(literal -1 binary64)) (neg.f64 (sin.f64 B))) (patch (/.f64 (fma.f64 (cos.f64 B) x #s(literal -1 binary64)) (neg.f64 (sin.f64 B))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (cos.f64 B) x #s(literal -1 binary64)) (patch (fma.f64 (cos.f64 B) x #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (cos.f64 B) (patch (cos.f64 B) #<representation binary64>) () ()) |
#s(alt (neg.f64 (sin.f64 B)) (patch (neg.f64 (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 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 B x B))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 B x B))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 B x B)))) (patch #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 B x B)))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 B (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 B (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) (/.f64 B (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x))))) (patch #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) (/.f64 B (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ()) |
#s(alt (/.f64 B (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x))) (patch (/.f64 B (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) (patch (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x))) (patch (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)))) (patch #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)))) #<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 #s(literal 1 binary64) (fma.f64 B x B)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 B x B)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)) (patch #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ (- x 1) B)) (taylor 0 B) (#s(alt (/.f64 (fma.f64 (cos.f64 B) x #s(literal -1 binary64)) (neg.f64 (sin.f64 B))) (patch (/.f64 (fma.f64 (cos.f64 B) x #s(literal -1 binary64)) (neg.f64 (sin.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* (pow B 2) (- (* -1/2 x) (* -1/6 (- x 1))))) (* -1 (- x 1))) B) (taylor 0 B) (#s(alt (/.f64 (fma.f64 (cos.f64 B) x #s(literal -1 binary64)) (neg.f64 (sin.f64 B))) (patch (/.f64 (fma.f64 (cos.f64 B) x #s(literal -1 binary64)) (neg.f64 (sin.f64 B))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (+ (* -1 (cos B)) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)) (patch #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (cos B)) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)) (patch #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- x 1) (taylor 0 B) (#s(alt #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)) (patch #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* -1/2 (* (pow B 2) x))) 1) (taylor 0 B) (#s(alt #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)) (patch #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* (pow B 2) (+ (* -1/2 x) (* 1/24 (* (pow B 2) x))))) 1) (taylor 0 B) (#s(alt #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)) (patch #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* (pow B 2) (+ (* -1/2 x) (* (pow B 2) (+ (* -1/720 (* (pow B 2) x)) (* 1/24 x)))))) 1) (taylor 0 B) (#s(alt #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)) (patch #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (cos B)) 1) (taylor inf B) (#s(alt #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)) (patch #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (cos B)) 1) (taylor inf B) (#s(alt #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)) (patch #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (cos B)) 1) (taylor inf B) (#s(alt #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)) (patch #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (cos B)) 1) (taylor inf B) (#s(alt #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)) (patch #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (cos B)) 1) (taylor -inf B) (#s(alt #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)) (patch #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (cos B)) 1) (taylor -inf B) (#s(alt #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)) (patch #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (cos B)) 1) (taylor -inf B) (#s(alt #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)) (patch #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (cos B)) 1) (taylor -inf B) (#s(alt #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)) (patch #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
111 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | x | @ | inf | (* (- 1 (* x x)) (/ 1 (+ (* B x) B))) |
| 1.0ms | B | @ | 0 | (* (- 1 (* x x)) (/ 1 (+ (* B x) B))) |
| 1.0ms | B | @ | inf | (/ B (+ (* B (* B (+ (* x 1/3) 1/6))) (- 1 x))) |
| 1.0ms | B | @ | 0 | (/ B (+ (* B (* B (+ (* x 1/3) 1/6))) (- 1 x))) |
| 1.0ms | B | @ | -inf | (* (- 1 (* x x)) (/ 1 (+ (* B x) B))) |
| 1× | egg-herbie |
| 6 968× | lower-fma.f64 |
| 6 968× | lower-fma.f32 |
| 5 958× | lower-*.f64 |
| 5 958× | lower-*.f32 |
| 2 750× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 505 | 5684 |
| 1 | 1549 | 5521 |
| 2 | 5220 | 5444 |
| 0 | 8127 | 5001 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (- x 1) B)) |
(/ (+ (* -1 (* (pow B 2) (- (* -1/2 x) (* -1/6 (- x 1))))) (* -1 (- x 1))) B) |
(/ (+ (* -1 (- x 1)) (* (pow B 2) (+ (* -1 (* (pow B 2) (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 (- x 1)))) (* 1/120 (- x 1)))))) (* -1 (- (* -1/2 x) (* -1/6 (- x 1))))))) B) |
(/ (+ (* -1 (- x 1)) (* (pow B 2) (+ (* -1 (- (* -1/2 x) (* -1/6 (- x 1)))) (* (pow B 2) (+ (* -1 (* (pow B 2) (- (* -1/720 x) (+ (* -1/6 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 (- x 1)))) (* 1/120 (- x 1))))) (+ (* -1/5040 (- x 1)) (* 1/120 (- (* -1/2 x) (* -1/6 (- x 1))))))))) (* -1 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 (- x 1)))) (* 1/120 (- x 1)))))))))) B) |
(* -1 (/ (- (* x (cos B)) 1) (sin B))) |
(* -1 (/ (- (* x (cos B)) 1) (sin B))) |
(* -1 (/ (- (* x (cos B)) 1) (sin B))) |
(* -1 (/ (- (* x (cos B)) 1) (sin B))) |
(* -1 (/ (- (* x (cos B)) 1) (sin B))) |
(* -1 (/ (- (* x (cos B)) 1) (sin B))) |
(* -1 (/ (- (* x (cos B)) 1) (sin B))) |
(* -1 (/ (- (* x (cos 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 (/ (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)))))) |
(- x 1) |
(- (+ x (* -1/2 (* (pow B 2) x))) 1) |
(- (+ x (* (pow B 2) (+ (* -1/2 x) (* 1/24 (* (pow B 2) x))))) 1) |
(- (+ x (* (pow B 2) (+ (* -1/2 x) (* (pow B 2) (+ (* -1/720 (* (pow B 2) x)) (* 1/24 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)) 1) |
-1 |
(- (* x (cos B)) 1) |
(- (* x (cos B)) 1) |
(- (* x (cos B)) 1) |
(* x (cos B)) |
(* x (- (cos B) (/ 1 x))) |
(* x (- (cos B) (/ 1 x))) |
(* x (- (cos B) (/ 1 x))) |
(* x (cos B)) |
(* -1 (* x (+ (* -1 (cos B)) (/ 1 x)))) |
(* -1 (* x (+ (* -1 (cos B)) (/ 1 x)))) |
(* -1 (* x (+ (* -1 (cos B)) (/ 1 x)))) |
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 B) |
(* B (- (* 1/6 (pow B 2)) 1)) |
(* B (- (* (pow B 2) (+ 1/6 (* -1/120 (pow B 2)))) 1)) |
(* B (- (* (pow B 2) (+ 1/6 (* (pow B 2) (- (* 1/5040 (pow B 2)) 1/120)))) 1)) |
(* -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 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 (pow x 2)) (* B (+ 1 x))) |
(/ (- 1 (pow x 2)) (* B (+ 1 x))) |
(/ (- 1 (pow x 2)) (* B (+ 1 x))) |
(/ (- 1 (pow x 2)) (* B (+ 1 x))) |
(/ (- 1 (pow x 2)) (* B (+ 1 x))) |
(/ (- 1 (pow x 2)) (* B (+ 1 x))) |
(/ (- 1 (pow x 2)) (* B (+ 1 x))) |
(/ (- 1 (pow x 2)) (* B (+ 1 x))) |
(* -1 (/ (- 1 (pow x 2)) (* B (- (* -1 x) 1)))) |
(* -1 (/ (- 1 (pow x 2)) (* B (- (* -1 x) 1)))) |
(* -1 (/ (- 1 (pow x 2)) (* B (- (* -1 x) 1)))) |
(* -1 (/ (- 1 (pow x 2)) (* B (- (* -1 x) 1)))) |
(/ 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 (* -1 (pow x 2))) |
(+ 1 (* -1 (pow x 2))) |
(+ 1 (* -1 (pow x 2))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ (- 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)))))) |
(/ B (- 1 x)) |
(* B (+ (* -1 (* (pow B 2) (+ (* 1/6 (/ 1 (pow (- 1 x) 2))) (* 1/3 (/ x (pow (- 1 x) 2)))))) (/ 1 (- 1 x)))) |
(* B (+ (* (pow B 2) (- (/ (* (pow B 2) (* (+ 1/6 (* 1/3 x)) (+ (* 1/3 (/ x (pow (- 1 x) 2))) (* 1/6 (/ 1 (pow (- 1 x) 2)))))) (- 1 x)) (+ (* 1/6 (/ 1 (pow (- 1 x) 2))) (* 1/3 (/ x (pow (- 1 x) 2)))))) (/ 1 (- 1 x)))) |
(* B (+ (* (pow B 2) (- (* (pow B 2) (- (* -1 (/ (* (pow B 2) (* (pow (+ 1/6 (* 1/3 x)) 2) (+ (* 1/3 (/ x (pow (- 1 x) 2))) (* 1/6 (/ 1 (pow (- 1 x) 2)))))) (pow (- 1 x) 2))) (* -1 (/ (* (+ 1/6 (* 1/3 x)) (+ (* 1/3 (/ x (pow (- 1 x) 2))) (* 1/6 (/ 1 (pow (- 1 x) 2))))) (- 1 x))))) (+ (* 1/6 (/ 1 (pow (- 1 x) 2))) (* 1/3 (/ x (pow (- 1 x) 2)))))) (/ 1 (- 1 x)))) |
(/ 1 (* B (+ 1/6 (* 1/3 x)))) |
(/ (- (+ (/ 1 (+ 1/6 (* 1/3 x))) (/ x (* (pow B 2) (pow (+ 1/6 (* 1/3 x)) 2)))) (/ 1 (* (pow B 2) (pow (+ 1/6 (* 1/3 x)) 2)))) B) |
(/ (- (+ (* -1 (/ (* (- 1 x) (- (/ x (pow (+ 1/6 (* 1/3 x)) 2)) (/ 1 (pow (+ 1/6 (* 1/3 x)) 2)))) (* (pow B 4) (+ 1/6 (* 1/3 x))))) (+ (/ 1 (+ 1/6 (* 1/3 x))) (/ x (* (pow B 2) (pow (+ 1/6 (* 1/3 x)) 2))))) (/ 1 (* (pow B 2) (pow (+ 1/6 (* 1/3 x)) 2)))) B) |
(/ (- (+ (/ 1 (+ 1/6 (* 1/3 x))) (+ (/ x (* (pow B 2) (pow (+ 1/6 (* 1/3 x)) 2))) (/ (* (pow (- 1 x) 2) (- (/ x (pow (+ 1/6 (* 1/3 x)) 2)) (/ 1 (pow (+ 1/6 (* 1/3 x)) 2)))) (* (pow B 6) (pow (+ 1/6 (* 1/3 x)) 2))))) (+ (/ 1 (* (pow B 2) (pow (+ 1/6 (* 1/3 x)) 2))) (/ (* (- 1 x) (- (/ x (pow (+ 1/6 (* 1/3 x)) 2)) (/ 1 (pow (+ 1/6 (* 1/3 x)) 2)))) (* (pow B 4) (+ 1/6 (* 1/3 x)))))) B) |
(/ 1 (* B (+ 1/6 (* 1/3 x)))) |
(* -1 (/ (- (/ 1 (* (pow B 2) (pow (+ 1/6 (* 1/3 x)) 2))) (+ (/ 1 (+ 1/6 (* 1/3 x))) (/ x (* (pow B 2) (pow (+ 1/6 (* 1/3 x)) 2))))) B)) |
(* -1 (/ (- (* -1 (/ (pow (- 1 x) 2) (* (pow B 4) (pow (+ 1/6 (* 1/3 x)) 3)))) (+ (* -1 (/ (- 1 x) (* (pow B 2) (pow (+ 1/6 (* 1/3 x)) 2)))) (/ 1 (+ 1/6 (* 1/3 x))))) B)) |
(* -1 (/ (- (/ (pow (- 1 x) 3) (* (pow B 6) (pow (+ 1/6 (* 1/3 x)) 4))) (+ (* -1 (/ (- 1 x) (* (pow B 2) (pow (+ 1/6 (* 1/3 x)) 2)))) (+ (/ 1 (+ 1/6 (* 1/3 x))) (/ (pow (- 1 x) 2) (* (pow B 4) (pow (+ 1/6 (* 1/3 x)) 3)))))) B)) |
(/ B (+ 1 (* 1/6 (pow B 2)))) |
(+ (* -1 (/ (* B (* x (- (* 1/3 (pow B 2)) 1))) (pow (+ 1 (* 1/6 (pow B 2))) 2))) (/ B (+ 1 (* 1/6 (pow B 2))))) |
(+ (* x (- (/ (* B (* x (pow (- (* 1/3 (pow B 2)) 1) 2))) (pow (+ 1 (* 1/6 (pow B 2))) 3)) (/ (* B (- (* 1/3 (pow B 2)) 1)) (pow (+ 1 (* 1/6 (pow B 2))) 2)))) (/ B (+ 1 (* 1/6 (pow B 2))))) |
(+ (* x (- (* x (- (* -1 (/ (* B (* x (pow (- (* 1/3 (pow B 2)) 1) 3))) (pow (+ 1 (* 1/6 (pow B 2))) 4))) (* -1 (/ (* B (pow (- (* 1/3 (pow B 2)) 1) 2)) (pow (+ 1 (* 1/6 (pow B 2))) 3))))) (/ (* B (- (* 1/3 (pow B 2)) 1)) (pow (+ 1 (* 1/6 (pow B 2))) 2)))) (/ B (+ 1 (* 1/6 (pow B 2))))) |
(/ B (* x (- (* 1/3 (pow B 2)) 1))) |
(/ (+ (* -1 (/ (* B (+ 1 (* 1/6 (pow B 2)))) (* x (pow (- (* 1/3 (pow B 2)) 1) 2)))) (/ B (- (* 1/3 (pow B 2)) 1))) x) |
(/ (- (+ (/ B (- (* 1/3 (pow B 2)) 1)) (/ (* B (pow (+ 1 (* 1/6 (pow B 2))) 2)) (* (pow x 2) (pow (- (* 1/3 (pow B 2)) 1) 3)))) (/ (* B (+ 1 (* 1/6 (pow B 2)))) (* x (pow (- (* 1/3 (pow B 2)) 1) 2)))) x) |
(/ (- (+ (* -1 (/ (* B (pow (+ 1 (* 1/6 (pow B 2))) 3)) (* (pow x 3) (pow (- (* 1/3 (pow B 2)) 1) 4)))) (/ B (- (* 1/3 (pow B 2)) 1))) (+ (* -1 (/ (* B (pow (+ 1 (* 1/6 (pow B 2))) 2)) (* (pow x 2) (pow (- (* 1/3 (pow B 2)) 1) 3)))) (/ (* B (+ 1 (* 1/6 (pow B 2)))) (* x (pow (- (* 1/3 (pow B 2)) 1) 2))))) x) |
(* -1 (/ B (* x (+ 1 (* -1/3 (pow B 2)))))) |
(* -1 (/ (+ (/ B (+ 1 (* -1/3 (pow B 2)))) (/ (* B (+ 1 (* 1/6 (pow B 2)))) (* x (pow (+ 1 (* -1/3 (pow B 2))) 2)))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* B (pow (+ 1 (* 1/6 (pow B 2))) 2)) (* x (pow (+ 1 (* -1/3 (pow B 2))) 3)))) (/ (* B (+ 1 (* 1/6 (pow B 2)))) (pow (+ 1 (* -1/3 (pow B 2))) 2))) x)) (/ B (+ 1 (* -1/3 (pow B 2))))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* B (pow (+ 1 (* 1/6 (pow B 2))) 3)) (* x (pow (+ 1 (* -1/3 (pow B 2))) 4))) (* -1 (/ (* B (pow (+ 1 (* 1/6 (pow B 2))) 2)) (pow (+ 1 (* -1/3 (pow B 2))) 3)))) x)) (/ (* B (+ 1 (* 1/6 (pow B 2)))) (pow (+ 1 (* -1/3 (pow B 2))) 2))) x)) (/ B (+ 1 (* -1/3 (pow B 2))))) x)) |
(- 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 (/ (- x 1) B)) |
(/ (+ (* -1 (* (pow B 2) (- (* -1/2 x) (* -1/6 (- x 1))))) (* -1 (- x 1))) B) |
(/ (+ (* -1 (- x 1)) (* (pow B 2) (+ (* -1 (* (pow B 2) (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 (- x 1)))) (* 1/120 (- x 1)))))) (* -1 (- (* -1/2 x) (* -1/6 (- x 1))))))) B) |
(/ (+ (* -1 (- x 1)) (* (pow B 2) (+ (* -1 (- (* -1/2 x) (* -1/6 (- x 1)))) (* (pow B 2) (+ (* -1 (* (pow B 2) (- (* -1/720 x) (+ (* -1/6 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 (- x 1)))) (* 1/120 (- x 1))))) (+ (* -1/5040 (- x 1)) (* 1/120 (- (* -1/2 x) (* -1/6 (- x 1))))))))) (* -1 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 (- x 1)))) (* 1/120 (- x 1)))))))))) B) |
(* -1 (/ (- (* x (cos B)) 1) (sin B))) |
(* -1 (/ (- (* x (cos B)) 1) (sin B))) |
(* -1 (/ (- (* x (cos B)) 1) (sin B))) |
(* -1 (/ (- (* x (cos B)) 1) (sin B))) |
(* -1 (/ (- (* x (cos B)) 1) (sin B))) |
(* -1 (/ (- (* x (cos B)) 1) (sin B))) |
(* -1 (/ (- (* x (cos B)) 1) (sin B))) |
(* -1 (/ (- (* x (cos 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 (/ (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) (+ 1/6 (* 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) |
(/ (- (* -1/6 (pow B 2)) 1) B) |
(/ (- (* (pow B 2) (- (* -7/360 (pow B 2)) 1/6)) 1) B) |
(/ (- (* (pow B 2) (- (* (pow B 2) (- (* -31/15120 (pow B 2)) 7/360)) 1/6)) 1) 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) |
(/ 1 (* B (+ 1 x))) |
(/ 1 (* B (+ 1 x))) |
(/ 1 (* B (+ 1 x))) |
(/ 1 (* B (+ 1 x))) |
(/ 1 (* B (+ 1 x))) |
(/ 1 (* B (+ 1 x))) |
(/ 1 (* B (+ 1 x))) |
(/ 1 (* B (+ 1 x))) |
(/ -1 (* B (- (* -1 x) 1))) |
(/ -1 (* B (- (* -1 x) 1))) |
(/ -1 (* B (- (* -1 x) 1))) |
(/ -1 (* B (- (* -1 x) 1))) |
(/ 1 B) |
(+ (* -1 (/ x B)) (/ 1 B)) |
(+ (* x (- (/ x B) (/ 1 B))) (/ 1 B)) |
(+ (* x (- (* x (+ (* -1 (/ x B)) (/ 1 B))) (/ 1 B))) (/ 1 B)) |
(/ 1 (* B x)) |
(/ (- (/ 1 B) (/ 1 (* B x))) x) |
(/ (- (+ (/ 1 B) (/ 1 (* B (pow x 2)))) (/ 1 (* B x))) x) |
(/ (- (+ (/ 1 B) (/ 1 (* B (pow x 2)))) (+ (/ 1 (* B x)) (/ 1 (* B (pow x 3))))) x) |
(/ 1 (* B x)) |
(* -1 (/ (- (/ 1 (* B x)) (/ 1 B)) x)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* B x)) (/ 1 B)) x)) (/ 1 B)) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* B x)) (/ 1 B)) x)) (/ 1 B)) x)) (/ 1 B)) x)) |
-1 |
(- (* x (cos B)) 1) |
(- (* x (cos B)) 1) |
(- (* x (cos B)) 1) |
(* x (cos B)) |
(* x (- (cos B) (/ 1 x))) |
(* x (- (cos B) (/ 1 x))) |
(* x (- (cos B) (/ 1 x))) |
(* x (cos B)) |
(* -1 (* x (+ (* -1 (cos B)) (/ 1 x)))) |
(* -1 (* x (+ (* -1 (cos B)) (/ 1 x)))) |
(* -1 (* x (+ (* -1 (cos B)) (/ 1 x)))) |
(- x 1) |
(- (+ x (* -1/2 (* (pow B 2) x))) 1) |
(- (+ x (* (pow B 2) (+ (* -1/2 x) (* 1/24 (* (pow B 2) x))))) 1) |
(- (+ x (* (pow B 2) (+ (* -1/2 x) (* (pow B 2) (+ (* -1/720 (* (pow B 2) x)) (* 1/24 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)) 1) |
| Outputs |
|---|
(* -1 (/ (- x 1) B)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) B) |
(/ (+ (* -1 (* (pow B 2) (- (* -1/2 x) (* -1/6 (- x 1))))) (* -1 (- x 1))) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(/ (+ (* -1 (- x 1)) (* (pow B 2) (+ (* -1 (* (pow B 2) (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 (- x 1)))) (* 1/120 (- x 1)))))) (* -1 (- (* -1/2 x) (* -1/6 (- x 1))))))) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal -1/24 binary64) (fma.f64 #s(literal -1/6 binary64) (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/6 binary64))) (fma.f64 x #s(literal 1/120 binary64) #s(literal -1/120 binary64))))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/6 binary64)))) (-.f64 #s(literal 1 binary64) x)) B) |
(/ (+ (* -1 (- x 1)) (* (pow B 2) (+ (* -1 (- (* -1/2 x) (* -1/6 (- x 1)))) (* (pow B 2) (+ (* -1 (* (pow B 2) (- (* -1/720 x) (+ (* -1/6 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 (- x 1)))) (* 1/120 (- x 1))))) (+ (* -1/5040 (- x 1)) (* 1/120 (- (* -1/2 x) (* -1/6 (- x 1))))))))) (* -1 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 (- x 1)))) (* 1/120 (- x 1)))))))))) B) |
(/.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (-.f64 (fma.f64 x #s(literal -1/720 binary64) (*.f64 #s(literal -1/6 binary64) (fma.f64 x #s(literal -1/24 binary64) (fma.f64 #s(literal -1/6 binary64) (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/6 binary64))) (fma.f64 x #s(literal 1/120 binary64) #s(literal -1/120 binary64)))))) (fma.f64 (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/6 binary64))) #s(literal 1/120 binary64) (fma.f64 x #s(literal -1/5040 binary64) #s(literal 1/5040 binary64)))) (*.f64 B (neg.f64 B)) (fma.f64 x #s(literal -1/24 binary64) (fma.f64 #s(literal -1/6 binary64) (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/6 binary64))) (fma.f64 x #s(literal 1/120 binary64) #s(literal -1/120 binary64))))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/6 binary64))))) (-.f64 #s(literal 1 binary64) x)) B) |
(* -1 (/ (- (* x (cos B)) 1) (sin B))) |
(/.f64 (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (- (* x (cos B)) 1) (sin B))) |
(/.f64 (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (- (* x (cos B)) 1) (sin B))) |
(/.f64 (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (- (* x (cos B)) 1) (sin B))) |
(/.f64 (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (- (* x (cos B)) 1) (sin B))) |
(/.f64 (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (- (* x (cos B)) 1) (sin B))) |
(/.f64 (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (- (* x (cos B)) 1) (sin B))) |
(/.f64 (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (- (* x (cos B)) 1) (sin B))) |
(/.f64 (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (neg.f64 (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 (/ (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 (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 (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (neg.f64 (sin.f64 B))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(/.f64 (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (neg.f64 (sin.f64 B))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(/.f64 (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (neg.f64 (sin.f64 B))) |
(- x 1) |
(+.f64 #s(literal -1 binary64) x) |
(- (+ x (* -1/2 (* (pow B 2) x))) 1) |
(fma.f64 (fma.f64 (*.f64 B B) #s(literal -1/2 binary64) #s(literal 1 binary64)) x #s(literal -1 binary64)) |
(- (+ x (* (pow B 2) (+ (* -1/2 x) (* 1/24 (* (pow B 2) x))))) 1) |
(+.f64 x (fma.f64 B (*.f64 B (*.f64 x (fma.f64 B (*.f64 B #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) #s(literal -1 binary64))) |
(- (+ x (* (pow B 2) (+ (* -1/2 x) (* (pow B 2) (+ (* -1/720 (* (pow B 2) x)) (* 1/24 x)))))) 1) |
(fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (*.f64 x (fma.f64 B (*.f64 B #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x #s(literal -1/2 binary64))) (+.f64 #s(literal -1 binary64) x)) |
(- (* x (cos B)) 1) |
(fma.f64 x (cos.f64 B) #s(literal -1 binary64)) |
(- (* x (cos B)) 1) |
(fma.f64 x (cos.f64 B) #s(literal -1 binary64)) |
(- (* x (cos B)) 1) |
(fma.f64 x (cos.f64 B) #s(literal -1 binary64)) |
(- (* x (cos B)) 1) |
(fma.f64 x (cos.f64 B) #s(literal -1 binary64)) |
(- (* x (cos B)) 1) |
(fma.f64 x (cos.f64 B) #s(literal -1 binary64)) |
(- (* x (cos B)) 1) |
(fma.f64 x (cos.f64 B) #s(literal -1 binary64)) |
(- (* x (cos B)) 1) |
(fma.f64 x (cos.f64 B) #s(literal -1 binary64)) |
(- (* x (cos B)) 1) |
(fma.f64 x (cos.f64 B) #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* x (cos B)) 1) |
(fma.f64 x (cos.f64 B) #s(literal -1 binary64)) |
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(/ (- (+ (/ 1 B) (/ 1 (* B (pow x 2)))) (/ 1 (* B x))) x) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x B))) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal -1 binary64) (*.f64 x B)))) x) |
(/ (- (+ (/ 1 B) (/ 1 (* B (pow x 2)))) (+ (/ 1 (* B x)) (/ 1 (* B (pow x 3))))) x) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x B))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x B))))) (/.f64 #s(literal -1 binary64) (*.f64 x B)))) x) |
(/ 1 (* B x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x B)) |
(* -1 (/ (- (/ 1 (* B x)) (/ 1 B)) x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x B)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x B)))) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* B x)) (/ 1 B)) x)) (/ 1 B)) x)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x B))) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal -1 binary64) (*.f64 x B)))) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* B x)) (/ 1 B)) x)) (/ 1 B)) x)) (/ 1 B)) x)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal -1 binary64) (*.f64 x B))) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x B)))) x) |
-1 |
#s(literal -1 binary64) |
(- (* x (cos B)) 1) |
(fma.f64 x (cos.f64 B) #s(literal -1 binary64)) |
(- (* x (cos B)) 1) |
(fma.f64 x (cos.f64 B) #s(literal -1 binary64)) |
(- (* x (cos B)) 1) |
(fma.f64 x (cos.f64 B) #s(literal -1 binary64)) |
(* x (cos B)) |
(*.f64 x (cos.f64 B)) |
(* x (- (cos B) (/ 1 x))) |
(fma.f64 x (cos.f64 B) #s(literal -1 binary64)) |
(* x (- (cos B) (/ 1 x))) |
(fma.f64 x (cos.f64 B) #s(literal -1 binary64)) |
(* x (- (cos B) (/ 1 x))) |
(fma.f64 x (cos.f64 B) #s(literal -1 binary64)) |
(* x (cos B)) |
(*.f64 x (cos.f64 B)) |
(* -1 (* x (+ (* -1 (cos B)) (/ 1 x)))) |
(fma.f64 x (cos.f64 B) #s(literal -1 binary64)) |
(* -1 (* x (+ (* -1 (cos B)) (/ 1 x)))) |
(fma.f64 x (cos.f64 B) #s(literal -1 binary64)) |
(* -1 (* x (+ (* -1 (cos B)) (/ 1 x)))) |
(fma.f64 x (cos.f64 B) #s(literal -1 binary64)) |
(- x 1) |
(+.f64 #s(literal -1 binary64) x) |
(- (+ x (* -1/2 (* (pow B 2) x))) 1) |
(fma.f64 (fma.f64 (*.f64 B B) #s(literal -1/2 binary64) #s(literal 1 binary64)) x #s(literal -1 binary64)) |
(- (+ x (* (pow B 2) (+ (* -1/2 x) (* 1/24 (* (pow B 2) x))))) 1) |
(+.f64 x (fma.f64 B (*.f64 B (*.f64 x (fma.f64 B (*.f64 B #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) #s(literal -1 binary64))) |
(- (+ x (* (pow B 2) (+ (* -1/2 x) (* (pow B 2) (+ (* -1/720 (* (pow B 2) x)) (* 1/24 x)))))) 1) |
(fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (*.f64 x (fma.f64 B (*.f64 B #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x #s(literal -1/2 binary64))) (+.f64 #s(literal -1 binary64) x)) |
(- (* x (cos B)) 1) |
(fma.f64 x (cos.f64 B) #s(literal -1 binary64)) |
(- (* x (cos B)) 1) |
(fma.f64 x (cos.f64 B) #s(literal -1 binary64)) |
(- (* x (cos B)) 1) |
(fma.f64 x (cos.f64 B) #s(literal -1 binary64)) |
(- (* x (cos B)) 1) |
(fma.f64 x (cos.f64 B) #s(literal -1 binary64)) |
(- (* x (cos B)) 1) |
(fma.f64 x (cos.f64 B) #s(literal -1 binary64)) |
(- (* x (cos B)) 1) |
(fma.f64 x (cos.f64 B) #s(literal -1 binary64)) |
(- (* x (cos B)) 1) |
(fma.f64 x (cos.f64 B) #s(literal -1 binary64)) |
(- (* x (cos B)) 1) |
(fma.f64 x (cos.f64 B) #s(literal -1 binary64)) |
| 5 770× | lower-*.f32 |
| 5 762× | lower-*.f64 |
| 4 444× | lower-fma.f32 |
| 4 436× | lower-fma.f64 |
| 3 348× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 252 |
| 0 | 72 | 236 |
| 1 | 337 | 234 |
| 2 | 2593 | 234 |
| 0 | 8243 | 234 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 (cos.f64 B) x #s(literal -1 binary64)) (neg.f64 (sin.f64 B))) |
(fma.f64 (cos.f64 B) x #s(literal -1 binary64)) |
(cos.f64 B) |
(neg.f64 (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)) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 B x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 B x B)))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
(/.f64 #s(literal 1 binary64) (/.f64 B (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) (/.f64 B (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 B (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x))) |
(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 (/.f64 #s(literal -1 binary64) (sin.f64 B)) #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)))) |
(/.f64 #s(literal -1 binary64) (sin.f64 B)) |
(sin.f64 B) |
(/.f64 #s(literal 1 binary64) (fma.f64 B x B)) |
#s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 (sin.f64 B)) (fma.f64 (cos.f64 B) x #s(literal -1 binary64)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (cos.f64 B) x #s(literal -1 binary64)) (sin.f64 B))) |
(neg.f64 (/.f64 (fma.f64 (cos.f64 B) x #s(literal -1 binary64)) (sin.f64 B))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 (sin.f64 B)) (fma.f64 (cos.f64 B) x #s(literal -1 binary64))))) |
(/.f64 (fma.f64 (cos.f64 B) x #s(literal -1 binary64)) (neg.f64 (sin.f64 B))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sin.f64 B)) (fma.f64 (cos.f64 B) x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (sin.f64 B)) (fma.f64 (cos.f64 B) x #s(literal -1 binary64))) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (fma.f64 (cos.f64 B) x #s(literal -1 binary64))) (sin.f64 B)) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 B) x) #s(literal 3 binary64))) (*.f64 (neg.f64 (sin.f64 B)) (fma.f64 (*.f64 x x) (+.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 (cos.f64 B) (neg.f64 x)))))) |
(/.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) #s(literal -1 binary64)) (*.f64 (neg.f64 (sin.f64 B)) (fma.f64 (cos.f64 B) x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 B) x) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (+.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 (cos.f64 B) (neg.f64 x)))) (sin.f64 B))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 B) x) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (+.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 (cos.f64 B) (neg.f64 x)))) (neg.f64 (sin.f64 B)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (cos.f64 B) x #s(literal 1 binary64)) (sin.f64 B))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (cos.f64 B) x #s(literal 1 binary64)) (neg.f64 (sin.f64 B)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (cos.f64 B) x #s(literal -1 binary64)))) (neg.f64 (sin.f64 B))) |
(/.f64 (*.f64 (fma.f64 (cos.f64 B) x #s(literal -1 binary64)) #s(literal -1 binary64)) (sin.f64 B)) |
(/.f64 (*.f64 (fma.f64 (cos.f64 B) x #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 (sin.f64 B))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 B) x) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (fma.f64 (*.f64 x x) (+.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 (cos.f64 B) (neg.f64 x))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (fma.f64 (cos.f64 B) x #s(literal 1 binary64))) |
(/.f64 (/.f64 (fma.f64 (cos.f64 B) x #s(literal -1 binary64)) #s(literal -1 binary64)) (sin.f64 B)) |
(pow.f64 (/.f64 (neg.f64 (sin.f64 B)) (fma.f64 (cos.f64 B) x #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (neg.f64 (sin.f64 B)) (fma.f64 (cos.f64 B) x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 B) x #s(literal -1 binary64)) (sin.f64 B))) |
(*.f64 (fma.f64 (cos.f64 B) x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 B) x #s(literal -1 binary64)) (neg.f64 (sin.f64 B)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 (cos.f64 B) x #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 B) x #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (fma.f64 (cos.f64 B) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(*.f64 (*.f64 (fma.f64 (cos.f64 B) x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(*.f64 (pow.f64 (/.f64 (neg.f64 (sin.f64 B)) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 B) x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (+.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 (cos.f64 B) (neg.f64 x)))))) |
(*.f64 (pow.f64 (/.f64 (neg.f64 (sin.f64 B)) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 B) x #s(literal 1 binary64)))) |
(+.f64 #s(literal -1 binary64) (*.f64 (cos.f64 B) x)) |
(+.f64 (*.f64 (cos.f64 B) x) #s(literal -1 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (fma.f64 (cos.f64 B) x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 B) x #s(literal 1 binary64)))) |
(fma.f64 (cos.f64 B) x #s(literal -1 binary64)) |
(fma.f64 x (cos.f64 B) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (+.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 (cos.f64 B) (neg.f64 x)))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 B) x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 B) x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) #s(literal -1 binary64)))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 B) x) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (+.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 (cos.f64 B) (neg.f64 x))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 B) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (*.f64 (cos.f64 B) (neg.f64 x))))) |
(/.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) #s(literal -1 binary64)) (fma.f64 (cos.f64 B) x #s(literal 1 binary64))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 B) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (+.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 (cos.f64 B) (neg.f64 x)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) #s(literal -1 binary64))) (neg.f64 (fma.f64 (cos.f64 B) x #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.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 (cos.f64 B) x))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) (+.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 (cos.f64 B) (neg.f64 x)))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 B) x) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (cos.f64 B) x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 B) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (+.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 (cos.f64 B) (neg.f64 x)))))) |
(*.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 B) x #s(literal 1 binary64)))) |
(cos.f64 B) |
(+.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 B))) |
(-.f64 #s(literal 0 binary64) (sin.f64 B)) |
(neg.f64 (sin.f64 B)) |
(/.f64 (sin.f64 B) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (sin.f64 B)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 B) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) (*.f64 #s(literal 0 binary64) (sin.f64 B))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (+.f64 #s(literal 0 binary64) (sin.f64 B))) |
(pow.f64 (neg.f64 (sin.f64 B)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (sin.f64 B)) |
(*.f64 (sin.f64 B) #s(literal -1 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))) |
(fma.f64 B #s(literal 1/6 binary64) (*.f64 B (*.f64 x #s(literal 1/3 binary64)))) |
(fma.f64 x (*.f64 #s(literal 1/3 binary64) B) (*.f64 B #s(literal 1/6 binary64))) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 B x) (*.f64 B #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 x #s(literal 1/3 binary64)) B (*.f64 B #s(literal 1/6 binary64))) |
(fma.f64 #s(literal 1/6 binary64) B (*.f64 B (*.f64 x #s(literal 1/3 binary64)))) |
(fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (*.f64 B #s(literal 1/6 binary64))) |
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(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/36 binary64)) (*.f64 B B)) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/36 binary64)) (*.f64 B B)) (neg.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64)) (neg.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/36 binary64)) (*.f64 B B)) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/36 binary64)) (*.f64 B B)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (neg.f64 x)))) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (neg.f64 x)))))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/36 binary64)) (*.f64 B B)) (-.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 x)))) |
(pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) (*.f64 (*.f64 (*.f64 B B) (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 (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 B B) (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 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 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)) (*.f64 (fma.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)))) (fma.f64 (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)) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) |
(pow.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)) x) (*.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (-.f64 #s(literal 1 binary64) x)) (+.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)) x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) x)) (*.f64 (+.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)) (-.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 B B) (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 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) (*.f64 (*.f64 (*.f64 B B) (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 (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)) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 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)) (*.f64 (fma.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)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (-.f64 #s(literal 1 binary64) x)) (+.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) (+.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 (*.f64 (+.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)) (-.f64 #s(literal 1 binary64) x))) (/.f64 #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)) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) (neg.f64 #s(approx (+ (* x (cos B)) -1) (+.f64 x #s(literal -1 binary64)))))) |
(/.f64 #s(approx (+ (* x (cos B)) -1) (+.f64 x #s(literal -1 binary64))) (neg.f64 (sin.f64 B))) |
(/.f64 (neg.f64 #s(approx (+ (* x (cos B)) -1) (+.f64 x #s(literal -1 binary64)))) (sin.f64 B)) |
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* x (cos B)) -1) (+.f64 x #s(literal -1 binary64))))) (neg.f64 (sin.f64 B))) |
(/.f64 (*.f64 #s(approx (+ (* x (cos B)) -1) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (neg.f64 (sin.f64 B))) |
(/.f64 (*.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos B)) -1) (+.f64 x #s(literal -1 binary64)))) (neg.f64 (sin.f64 B))) |
(pow.f64 (/.f64 (sin.f64 B) (neg.f64 #s(approx (+ (* x (cos B)) -1) (+.f64 x #s(literal -1 binary64))))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(approx (+ (* x (cos B)) -1) (+.f64 x #s(literal -1 binary64))))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* x (cos B)) -1) (+.f64 x #s(literal -1 binary64))) (sin.f64 B))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) #s(approx (+ (* x (cos B)) -1) (+.f64 x #s(literal -1 binary64)))) |
(*.f64 #s(approx (+ (* x (cos B)) -1) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(*.f64 (neg.f64 #s(approx (+ (* x (cos B)) -1) (+.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (+ (* x (cos B)) -1) (+.f64 x #s(literal -1 binary64))) (neg.f64 (sin.f64 B)))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (sin.f64 B))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 #s(literal -1 binary64) (sin.f64 B)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 B))) |
(pow.f64 (neg.f64 (sin.f64 B)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (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)) |
(exp.f64 (log.f64 (sin.f64 B))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 B))) |
(sin.f64 B) |
(neg.f64 (neg.f64 (sin.f64 B))) |
(/.f64 (sin.f64 B) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (sin.f64 B)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.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)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 B))) |
(*.f64 (sin.f64 B) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sin.f64 B)) |
(exp.f64 (*.f64 (log.f64 (fma.f64 B x B)) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 B x B))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 B x B))) |
(/.f64 #s(literal 1 binary64) (fma.f64 B x B)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 B x B)))) |
(pow.f64 (fma.f64 B x B) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (neg.f64 (fma.f64 B x B))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 B x B) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (fma.f64 B x B) (fma.f64 B x B)) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (fma.f64 B x B))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 B x B)))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 B x B))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B x B)) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) B)) |
(*.f64 (pow.f64 (fma.f64 B x B) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 B x B) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B x) (*.f64 x (*.f64 x (*.f64 B B))) (*.f64 B (*.f64 B B)))) (fma.f64 B (-.f64 B (*.f64 B x)) (*.f64 x (*.f64 x (*.f64 B B))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B x) (*.f64 x (*.f64 x (*.f64 B B))) (*.f64 B (*.f64 B B)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B (-.f64 B (*.f64 B x)) (*.f64 x (*.f64 x (*.f64 B B))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 B x B) (-.f64 (*.f64 B x) B))) (-.f64 (*.f64 B x) B)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 B x B) (-.f64 (*.f64 B x) B))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 B x) B)) #s(literal -1 binary64))) |
#s(approx (+ (* x (cos B)) -1) (+.f64 x #s(literal -1 binary64))) |
Compiled 28 270 to 2 310 computations (91.8% saved)
64 alts after pruning (57 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 047 | 28 | 1 075 |
| Fresh | 18 | 29 | 47 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 067 | 64 | 1 131 |
| Status | Accuracy | Program |
|---|---|---|
| 50.6% | (/.f64 (fma.f64 (cos.f64 B) x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (+.f64 #s(literal 0 binary64) (sin.f64 B)))) | |
| ✓ | 99.7% | (/.f64 (fma.f64 (cos.f64 B) x #s(literal -1 binary64)) (neg.f64 (sin.f64 B))) |
| 51.0% | (/.f64 (fma.f64 (cos.f64 B) x #s(literal -1 binary64)) #s(approx (neg (sin B)) (neg.f64 B))) | |
| 75.6% | (/.f64 #s(approx (+ (* (cos B) x) -1) (+.f64 #s(literal -1 binary64) x)) (neg.f64 (sin.f64 B))) | |
| 50.7% | (/.f64 #s(approx (+ (* (cos B) x) -1) (*.f64 x (cos.f64 B))) (neg.f64 (sin.f64 B))) | |
| 43.9% | (-.f64 (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 x (tan.f64 B))) | |
| ✓ | 99.8% | (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
| 75.6% | (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B))) | |
| 75.5% | (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) | |
| 75.5% | (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) | |
| 59.8% | (+.f64 (neg.f64 (*.f64 x (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) | |
| 75.5% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) | |
| 99.6% | (*.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 (sin.f64 B) x)) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (tan.f64 B))) | |
| 82.5% | (*.f64 (-.f64 (tan.f64 B) (*.f64 (sin.f64 B) x)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (tan.f64 B)))) | |
| 50.8% | #s(approx (- (/ 1 (sin B)) (/ x (tan 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)) | |
| 51.0% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(approx (+ (* x 1/45) 7/360) (*.f64 x #s(literal 1/45 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) | |
| 50.8% | #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) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) | |
| 51.1% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (-.f64 #s(literal 1 binary64) x))))) | |
| 51.2% | #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)) | |
| 50.9% | #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)) | |
| 26.4% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 x (*.f64 (*.f64 B B) #s(literal 1/3 binary64)))) x) B)) | |
| 27.1% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64))) B)) | |
| 26.4% | #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)) | |
| 26.1% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) 7/360)) (+ (* x 1/3) 1/6))) (- 1 x)) (*.f64 x (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)))) B)) | |
| 48.8% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) (/.f64 B (fma.f64 B (/.f64 (-.f64 (*.f64 (*.f64 B (*.f64 x #s(literal 1/3 binary64))) (*.f64 B (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 B #s(literal 1/6 binary64)) (*.f64 B #s(literal 1/6 binary64)))) (-.f64 (*.f64 B (*.f64 x #s(literal 1/3 binary64))) (*.f64 B #s(literal 1/6 binary64)))) (-.f64 #s(literal 1 binary64) x))))) | |
| 51.1% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (-.f64 #s(literal 1 binary64) x))) B))) | |
| 26.2% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) #s(approx (/ B (+ (* B (* B (+ (* x 1/3) 1/6))) (- 1 x))) (fma.f64 (*.f64 x (neg.f64 B)) (/.f64 (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (/.f64 B (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64))))))) | |
| 3.2% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) #s(approx (/ B (+ (* B (* B (+ (* x 1/3) 1/6))) (- 1 x))) (/.f64 #s(literal 1 binary64) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))))))) | |
| 51.1% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (fma.f64 (*.f64 B 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) B))) | |
| ✓ | 75.6% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)))) |
| 50.6% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.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(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)))) | |
| 50.6% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 #s(approx (/ -1 (sin B)) (/.f64 (fma.f64 B (*.f64 B #s(literal -1/6 binary64)) #s(literal -1 binary64)) B)) #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)))) | |
| 50.6% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B)) #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)))) | |
| ✓ | 3.2% | #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))))) |
| 3.2% | #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))))) | |
| 3.1% | #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)))))) | |
| 3.3% | #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))))) | |
| 3.1% | #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)))))) | |
| 26.1% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) 7/360)) (+ (* x 1/3) 1/6))) (- 1 x)) B) (/.f64 (fma.f64 (*.f64 x (*.f64 B B)) (fma.f64 B (*.f64 B #s(literal -1/45 binary64)) #s(literal -1/3 binary64)) x) (neg.f64 B)))) | |
| 2.3% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) 7/360)) (+ (* x 1/3) 1/6))) (- 1 x)) B) (*.f64 (*.f64 B (*.f64 B B)) (+.f64 (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B)))))) | |
| 36.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (pow.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 18.6% | #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))) | |
| 31.8% | #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)))) | |
| 33.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 B (*.f64 B x)) (*.f64 B B))) | |
| ✓ | 50.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
| 25.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B)) | |
| ✓ | 26.8% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) |
| ✓ | 50.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 26.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) #s(approx (sin B) (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)))) | |
| 26.9% | #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 B (fma.f64 B (*.f64 B #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) B)))) | |
| 26.9% | #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)))) | |
| 50.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B))) | |
| 27.1% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (fma.f64 x (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) B) (/.f64 #s(literal -1 binary64) B)) (/.f64 #s(literal 1 binary64) B))))) | |
| 34.1% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (fma.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) B) (/.f64 #s(literal 1 binary64) B))))) | |
| 27.1% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) | |
| 23.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x B))) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal -1 binary64) (*.f64 x B)))) x)))) | |
| 23.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal -1 binary64) (*.f64 x B))) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x B)))) x)))) | |
| 23.4% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x B))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x B))))) (/.f64 #s(literal -1 binary64) (*.f64 x B)))) x)))) | |
| 24.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (/.f64 #s(literal 1 binary64) (*.f64 x B))))) | |
| 33.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (/.f64 #s(literal 1 binary64) B)))) | |
| 23.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x B)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x B))))))) | |
| 26.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 #s(approx (- 1 (* x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 B x B)))) | |
| 26.9% | #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 B (*.f64 B #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B))) | |
| 27.1% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ 1 (sin 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))) |
Compiled 2 758 to 976 computations (64.6% 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 (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
#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 (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B)) #s(approx (+ (* x (cos B)) -1) (+.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 (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 #s(approx (- 1 (* x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 B x B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (/.f64 #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 (/.f64 #s(literal 1 binary64) B) (/.f64 x 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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (/.f64 (-.f64 #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))) (/.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 (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (/.f64 #s(literal 1 binary64) (*.f64 x B))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 x (*.f64 (*.f64 B B) #s(literal 1/3 binary64)))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 B x B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 #s(approx (/ -1 (sin B)) (/.f64 (fma.f64 B (*.f64 B #s(literal -1/6 binary64)) #s(literal -1 binary64)) B)) #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)))) |
#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))) (/.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 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 (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) #s(approx (/ B (+ (* B (* B (+ (* x 1/3) 1/6))) (- 1 x))) (/.f64 #s(literal 1 binary64) (*.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 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (fma.f64 B (fma.f64 x x x) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
#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 (- (/ 1 (sin B)) (/ x (tan 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)) (/.f64 #s(literal 1 binary64) B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (fma.f64 (*.f64 B 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) B))) |
#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 B (fma.f64 B (*.f64 B #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) 7/360)) (+ (* x 1/3) 1/6))) (- 1 x)) (*.f64 x (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) 7/360)) (+ (* x 1/3) 1/6))) (- 1 x)) B) (/.f64 (fma.f64 (*.f64 x (*.f64 B B)) (fma.f64 B (*.f64 B #s(literal -1/45 binary64)) #s(literal -1/3 binary64)) x) (neg.f64 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 (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) (/.f64 B (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.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)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.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 B (*.f64 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 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (fma.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) B) (/.f64 #s(literal 1 binary64) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (fma.f64 x (*.f64 x (neg.f64 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) (+ (* (* B B) (+ (* x 1/45) 7/360)) (+ (* x 1/3) 1/6))) (- 1 x)) B) (*.f64 (*.f64 B (*.f64 B B)) (+.f64 (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B)))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.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(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 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) #s(approx (+ (* x 1/45) 7/360) (*.f64 x #s(literal 1/45 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 (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 (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))) (-.f64 #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 (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)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x B)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x B))))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (/.f64 (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))) #s(literal 1 binary64)) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (-.f64 #s(literal 1 binary64) x))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 #s(literal 1 binary64) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (fma.f64 x (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) B) (/.f64 #s(literal -1 binary64) B)) (/.f64 #s(literal 1 binary64) 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 x #s(literal 1/3 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 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 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)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x B))) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal -1 binary64) (*.f64 x B)))) x)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (*.f64 (+.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 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x))) (*.f64 B (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) x))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) #s(approx (/ B (+ (* B (* B (+ (* x 1/3) 1/6))) (- 1 x))) (fma.f64 (*.f64 x (neg.f64 B)) (/.f64 (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (/.f64 B (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64))))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal -1 binary64) (*.f64 x B))) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x B)))) x)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) (/.f64 B (fma.f64 B (/.f64 (-.f64 (*.f64 (*.f64 B (*.f64 x #s(literal 1/3 binary64))) (*.f64 B (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 B #s(literal 1/6 binary64)) (*.f64 B #s(literal 1/6 binary64)))) (-.f64 (*.f64 B (*.f64 x #s(literal 1/3 binary64))) (*.f64 B #s(literal 1/6 binary64)))) (-.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)) #s(approx (/ 1 (+ (* B x) B)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x B))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x B))))) (/.f64 #s(literal -1 binary64) (*.f64 x 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 (+ (* (cos B) x) -1) (+.f64 #s(literal -1 binary64) x)) (neg.f64 (sin.f64 B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)))) |
(/.f64 (fma.f64 (cos.f64 B) x #s(literal -1 binary64)) #s(approx (neg (sin B)) (neg.f64 B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64)))) |
(-.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))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) |
(+.f64 (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)) #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 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))) |
(/.f64 #s(approx (+ (* (cos B) x) -1) (*.f64 x (cos.f64 B))) (neg.f64 (sin.f64 B))) |
(/.f64 (fma.f64 (cos.f64 B) x #s(literal -1 binary64)) (neg.f64 (sin.f64 B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(+.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) (/.f64 (tan.f64 B) x)) (/.f64 #s(literal 1 binary64) (sin.f64 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)))) |
(+.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (pow.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(+.f64 (neg.f64 (*.f64 x (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) |
(-.f64 (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 x (tan.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))) |
(/.f64 (fma.f64 (cos.f64 B) x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (+.f64 #s(literal 0 binary64) (sin.f64 B)))) |
(+.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))) (/.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))))) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64))) (/.f64 x (tan.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 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (pow.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(+.f64 (neg.f64 (*.f64 x (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(*.f64 (-.f64 (tan.f64 B) (*.f64 (sin.f64 B) x)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (tan.f64 B)))) |
(*.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 (sin.f64 B) x)) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(/.f64 (+.f64 (sin.f64 B) (/.f64 (tan.f64 B) x)) (*.f64 (/.f64 (tan.f64 B) x) (sin.f64 B))) |
(/.f64 (-.f64 (/.f64 (tan.f64 B) x) (sin.f64 B)) (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x))) |
(/.f64 (pow.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #s(literal 2 binary64)) (+.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(fma.f64 (neg.f64 x) (/.f64 (*.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) x) (+.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))))))) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
3 calls:
| 54.0ms | x |
| 52.0ms | B |
| 28.0ms | (+.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 (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
#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 (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B)) #s(approx (+ (* x (cos B)) -1) (+.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 (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 #s(approx (- 1 (* x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 B x B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (/.f64 #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 (/.f64 #s(literal 1 binary64) B) (/.f64 x 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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (/.f64 (-.f64 #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))) (/.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 (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (/.f64 #s(literal 1 binary64) (*.f64 x B))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 x (*.f64 (*.f64 B B) #s(literal 1/3 binary64)))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 B x B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 #s(approx (/ -1 (sin B)) (/.f64 (fma.f64 B (*.f64 B #s(literal -1/6 binary64)) #s(literal -1 binary64)) B)) #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)))) |
#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))) (/.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 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 (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) #s(approx (/ B (+ (* B (* B (+ (* x 1/3) 1/6))) (- 1 x))) (/.f64 #s(literal 1 binary64) (*.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 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (fma.f64 B (fma.f64 x x x) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
#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 (- (/ 1 (sin B)) (/ x (tan 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)) (/.f64 #s(literal 1 binary64) B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (fma.f64 (*.f64 B 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) B))) |
#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 B (fma.f64 B (*.f64 B #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) 7/360)) (+ (* x 1/3) 1/6))) (- 1 x)) (*.f64 x (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) 7/360)) (+ (* x 1/3) 1/6))) (- 1 x)) B) (/.f64 (fma.f64 (*.f64 x (*.f64 B B)) (fma.f64 B (*.f64 B #s(literal -1/45 binary64)) #s(literal -1/3 binary64)) x) (neg.f64 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 (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) (/.f64 B (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.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)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.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 B (*.f64 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 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (fma.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) B) (/.f64 #s(literal 1 binary64) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (fma.f64 x (*.f64 x (neg.f64 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) (+ (* (* B B) (+ (* x 1/45) 7/360)) (+ (* x 1/3) 1/6))) (- 1 x)) B) (*.f64 (*.f64 B (*.f64 B B)) (+.f64 (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B)))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.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(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 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) #s(approx (+ (* x 1/45) 7/360) (*.f64 x #s(literal 1/45 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 (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 (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))) (-.f64 #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 (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)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x B)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x B))))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (/.f64 (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))) #s(literal 1 binary64)) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (-.f64 #s(literal 1 binary64) x))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 #s(literal 1 binary64) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (fma.f64 x (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) B) (/.f64 #s(literal -1 binary64) B)) (/.f64 #s(literal 1 binary64) 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 x #s(literal 1/3 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 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 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)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x B))) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal -1 binary64) (*.f64 x B)))) x)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (*.f64 (+.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 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x))) (*.f64 B (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) x))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) #s(approx (/ B (+ (* B (* B (+ (* x 1/3) 1/6))) (- 1 x))) (fma.f64 (*.f64 x (neg.f64 B)) (/.f64 (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (/.f64 B (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64))))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal -1 binary64) (*.f64 x B))) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x B)))) x)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) (/.f64 B (fma.f64 B (/.f64 (-.f64 (*.f64 (*.f64 B (*.f64 x #s(literal 1/3 binary64))) (*.f64 B (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 B #s(literal 1/6 binary64)) (*.f64 B #s(literal 1/6 binary64)))) (-.f64 (*.f64 B (*.f64 x #s(literal 1/3 binary64))) (*.f64 B #s(literal 1/6 binary64)))) (-.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)) #s(approx (/ 1 (+ (* B x) B)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x B))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x B))))) (/.f64 #s(literal -1 binary64) (*.f64 x 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 (+ (* (cos B) x) -1) (+.f64 #s(literal -1 binary64) x)) (neg.f64 (sin.f64 B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)))) |
(/.f64 (fma.f64 (cos.f64 B) x #s(literal -1 binary64)) #s(approx (neg (sin B)) (neg.f64 B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64)))) |
(-.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))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) |
(+.f64 (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)) #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 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))) |
(/.f64 #s(approx (+ (* (cos B) x) -1) (*.f64 x (cos.f64 B))) (neg.f64 (sin.f64 B))) |
(/.f64 (fma.f64 (cos.f64 B) x #s(literal -1 binary64)) (neg.f64 (sin.f64 B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64)))) |
| Outputs |
|---|
(/.f64 (fma.f64 (cos.f64 B) x #s(literal -1 binary64)) (neg.f64 (sin.f64 B))) |
3 calls:
| 41.0ms | B |
| 38.0ms | x |
| 22.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | B |
| 99.7% | 1 | x |
| 99.7% | 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 (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
#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 (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B)) #s(approx (+ (* x (cos B)) -1) (+.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 (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 #s(approx (- 1 (* x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 B x B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (/.f64 #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 (/.f64 #s(literal 1 binary64) B) (/.f64 x 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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (/.f64 (-.f64 #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))) (/.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 (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (/.f64 #s(literal 1 binary64) (*.f64 x B))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 x (*.f64 (*.f64 B B) #s(literal 1/3 binary64)))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 B x B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 #s(approx (/ -1 (sin B)) (/.f64 (fma.f64 B (*.f64 B #s(literal -1/6 binary64)) #s(literal -1 binary64)) B)) #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)))) |
#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))) (/.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 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 (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) #s(approx (/ B (+ (* B (* B (+ (* x 1/3) 1/6))) (- 1 x))) (/.f64 #s(literal 1 binary64) (*.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 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (fma.f64 B (fma.f64 x x x) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
#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 (- (/ 1 (sin B)) (/ x (tan 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)) (/.f64 #s(literal 1 binary64) B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (fma.f64 (*.f64 B 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) B))) |
#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 B (fma.f64 B (*.f64 B #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) 7/360)) (+ (* x 1/3) 1/6))) (- 1 x)) (*.f64 x (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) 7/360)) (+ (* x 1/3) 1/6))) (- 1 x)) B) (/.f64 (fma.f64 (*.f64 x (*.f64 B B)) (fma.f64 B (*.f64 B #s(literal -1/45 binary64)) #s(literal -1/3 binary64)) x) (neg.f64 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 (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) (/.f64 B (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.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)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.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 B (*.f64 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 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (fma.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) B) (/.f64 #s(literal 1 binary64) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (fma.f64 x (*.f64 x (neg.f64 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) (+ (* (* B B) (+ (* x 1/45) 7/360)) (+ (* x 1/3) 1/6))) (- 1 x)) B) (*.f64 (*.f64 B (*.f64 B B)) (+.f64 (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B)))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.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(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 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) #s(approx (+ (* x 1/45) 7/360) (*.f64 x #s(literal 1/45 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 (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 (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))) (-.f64 #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 (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)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x B)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x B))))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (/.f64 (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))) #s(literal 1 binary64)) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (-.f64 #s(literal 1 binary64) x))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 #s(literal 1 binary64) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (fma.f64 x (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) B) (/.f64 #s(literal -1 binary64) B)) (/.f64 #s(literal 1 binary64) 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 x #s(literal 1/3 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 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 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)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x B))) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal -1 binary64) (*.f64 x B)))) x)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (*.f64 (+.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 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x))) (*.f64 B (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) x))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) #s(approx (/ B (+ (* B (* B (+ (* x 1/3) 1/6))) (- 1 x))) (fma.f64 (*.f64 x (neg.f64 B)) (/.f64 (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (/.f64 B (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64))))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal -1 binary64) (*.f64 x B))) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x B)))) x)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) (/.f64 B (fma.f64 B (/.f64 (-.f64 (*.f64 (*.f64 B (*.f64 x #s(literal 1/3 binary64))) (*.f64 B (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 B #s(literal 1/6 binary64)) (*.f64 B #s(literal 1/6 binary64)))) (-.f64 (*.f64 B (*.f64 x #s(literal 1/3 binary64))) (*.f64 B #s(literal 1/6 binary64)))) (-.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)) #s(approx (/ 1 (+ (* B x) B)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x B))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x B))))) (/.f64 #s(literal -1 binary64) (*.f64 x 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 (+ (* (cos B) x) -1) (+.f64 #s(literal -1 binary64) x)) (neg.f64 (sin.f64 B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)))) |
(/.f64 (fma.f64 (cos.f64 B) x #s(literal -1 binary64)) #s(approx (neg (sin B)) (neg.f64 B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64)))) |
(-.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))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) |
(+.f64 (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)) #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 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))) |
(/.f64 #s(approx (+ (* (cos B) x) -1) (*.f64 x (cos.f64 B))) (neg.f64 (sin.f64 B))) |
| Outputs |
|---|
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B))) |
(/.f64 #s(approx (+ (* (cos B) x) -1) (+.f64 #s(literal -1 binary64) x)) (neg.f64 (sin.f64 B))) |
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B))) |
3 calls:
| 49.0ms | x |
| 39.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 30.0ms | B |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.4% | 2 | B |
| 99.2% | 3 | x |
| 99.2% | 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))))) |
#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 (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
#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 (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B)) #s(approx (+ (* x (cos B)) -1) (+.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 (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 #s(approx (- 1 (* x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 B x B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (/.f64 #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 (/.f64 #s(literal 1 binary64) B) (/.f64 x 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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (/.f64 (-.f64 #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))) (/.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 (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (/.f64 #s(literal 1 binary64) (*.f64 x B))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 x (*.f64 (*.f64 B B) #s(literal 1/3 binary64)))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 B x B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 #s(approx (/ -1 (sin B)) (/.f64 (fma.f64 B (*.f64 B #s(literal -1/6 binary64)) #s(literal -1 binary64)) B)) #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)))) |
#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))) (/.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 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 (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) #s(approx (/ B (+ (* B (* B (+ (* x 1/3) 1/6))) (- 1 x))) (/.f64 #s(literal 1 binary64) (*.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 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (fma.f64 B (fma.f64 x x x) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
#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 (- (/ 1 (sin B)) (/ x (tan 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)) (/.f64 #s(literal 1 binary64) B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (fma.f64 (*.f64 B 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) B))) |
#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 B (fma.f64 B (*.f64 B #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) 7/360)) (+ (* x 1/3) 1/6))) (- 1 x)) (*.f64 x (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) 7/360)) (+ (* x 1/3) 1/6))) (- 1 x)) B) (/.f64 (fma.f64 (*.f64 x (*.f64 B B)) (fma.f64 B (*.f64 B #s(literal -1/45 binary64)) #s(literal -1/3 binary64)) x) (neg.f64 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 (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) (/.f64 B (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.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)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.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 B (*.f64 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 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (fma.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) B) (/.f64 #s(literal 1 binary64) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (fma.f64 x (*.f64 x (neg.f64 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) (+ (* (* B B) (+ (* x 1/45) 7/360)) (+ (* x 1/3) 1/6))) (- 1 x)) B) (*.f64 (*.f64 B (*.f64 B B)) (+.f64 (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B)))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.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(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 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) #s(approx (+ (* x 1/45) 7/360) (*.f64 x #s(literal 1/45 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 (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 (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))) (-.f64 #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 (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)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x B)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x B))))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (/.f64 (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))) #s(literal 1 binary64)) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (-.f64 #s(literal 1 binary64) x))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 #s(literal 1 binary64) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (fma.f64 x (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) B) (/.f64 #s(literal -1 binary64) B)) (/.f64 #s(literal 1 binary64) 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 x #s(literal 1/3 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 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 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)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x B))) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal -1 binary64) (*.f64 x B)))) x)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (*.f64 (+.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 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x))) (*.f64 B (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) x))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) #s(approx (/ B (+ (* B (* B (+ (* x 1/3) 1/6))) (- 1 x))) (fma.f64 (*.f64 x (neg.f64 B)) (/.f64 (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (/.f64 B (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64))))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal -1 binary64) (*.f64 x B))) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x B)))) x)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) (/.f64 B (fma.f64 B (/.f64 (-.f64 (*.f64 (*.f64 B (*.f64 x #s(literal 1/3 binary64))) (*.f64 B (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 B #s(literal 1/6 binary64)) (*.f64 B #s(literal 1/6 binary64)))) (-.f64 (*.f64 B (*.f64 x #s(literal 1/3 binary64))) (*.f64 B #s(literal 1/6 binary64)))) (-.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)) #s(approx (/ 1 (+ (* B x) B)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x B))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x B))))) (/.f64 #s(literal -1 binary64) (*.f64 x 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 (+ (* (cos B) x) -1) (+.f64 #s(literal -1 binary64) x)) (neg.f64 (sin.f64 B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)))) |
(/.f64 (fma.f64 (cos.f64 B) x #s(literal -1 binary64)) #s(approx (neg (sin B)) (neg.f64 B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64)))) |
| Outputs |
|---|
(/.f64 #s(approx (+ (* (cos B) x) -1) (+.f64 #s(literal -1 binary64) x)) (neg.f64 (sin.f64 B))) |
3 calls:
| 37.0ms | x |
| 29.0ms | 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 |
|---|---|---|
| 75.6% | 1 | B |
| 75.6% | 1 | x |
| 75.6% | 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 (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
#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 (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B)) #s(approx (+ (* x (cos B)) -1) (+.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 (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 #s(approx (- 1 (* x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 B x B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (/.f64 #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 (/.f64 #s(literal 1 binary64) B) (/.f64 x 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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (/.f64 (-.f64 #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))) (/.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 (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (/.f64 #s(literal 1 binary64) (*.f64 x B))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 x (*.f64 (*.f64 B B) #s(literal 1/3 binary64)))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 B x B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 #s(approx (/ -1 (sin B)) (/.f64 (fma.f64 B (*.f64 B #s(literal -1/6 binary64)) #s(literal -1 binary64)) B)) #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)))) |
#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))) (/.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 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 (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) #s(approx (/ B (+ (* B (* B (+ (* x 1/3) 1/6))) (- 1 x))) (/.f64 #s(literal 1 binary64) (*.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 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (fma.f64 B (fma.f64 x x x) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
#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 (- (/ 1 (sin B)) (/ x (tan 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)) (/.f64 #s(literal 1 binary64) B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (fma.f64 (*.f64 B 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) B))) |
#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 B (fma.f64 B (*.f64 B #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) 7/360)) (+ (* x 1/3) 1/6))) (- 1 x)) (*.f64 x (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) 7/360)) (+ (* x 1/3) 1/6))) (- 1 x)) B) (/.f64 (fma.f64 (*.f64 x (*.f64 B B)) (fma.f64 B (*.f64 B #s(literal -1/45 binary64)) #s(literal -1/3 binary64)) x) (neg.f64 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 (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) (/.f64 B (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.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)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.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 B (*.f64 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 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (fma.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) B) (/.f64 #s(literal 1 binary64) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (fma.f64 x (*.f64 x (neg.f64 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) (+ (* (* B B) (+ (* x 1/45) 7/360)) (+ (* x 1/3) 1/6))) (- 1 x)) B) (*.f64 (*.f64 B (*.f64 B B)) (+.f64 (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B)))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.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(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 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) #s(approx (+ (* x 1/45) 7/360) (*.f64 x #s(literal 1/45 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 (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 (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))) (-.f64 #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 (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)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x B)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x B))))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (/.f64 (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))) #s(literal 1 binary64)) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (-.f64 #s(literal 1 binary64) x))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 #s(literal 1 binary64) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (fma.f64 x (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) B) (/.f64 #s(literal -1 binary64) B)) (/.f64 #s(literal 1 binary64) 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 x #s(literal 1/3 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 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 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)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x B))) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal -1 binary64) (*.f64 x B)))) x)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (*.f64 (+.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 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x))) (*.f64 B (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) x))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) #s(approx (/ B (+ (* B (* B (+ (* x 1/3) 1/6))) (- 1 x))) (fma.f64 (*.f64 x (neg.f64 B)) (/.f64 (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (/.f64 B (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64))))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal -1 binary64) (*.f64 x B))) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x B)))) x)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) (/.f64 B (fma.f64 B (/.f64 (-.f64 (*.f64 (*.f64 B (*.f64 x #s(literal 1/3 binary64))) (*.f64 B (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 B #s(literal 1/6 binary64)) (*.f64 B #s(literal 1/6 binary64)))) (-.f64 (*.f64 B (*.f64 x #s(literal 1/3 binary64))) (*.f64 B #s(literal 1/6 binary64)))) (-.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)) #s(approx (/ 1 (+ (* B x) B)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x B))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x B))))) (/.f64 #s(literal -1 binary64) (*.f64 x 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 (-.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:
| 25.0ms | x |
| 22.0ms | B |
| 21.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.1% | 3 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 74.4% | 2 | B |
| 74.6% | 3 | x |
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 (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
#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 (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B)) #s(approx (+ (* x (cos B)) -1) (+.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 (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 #s(approx (- 1 (* x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 B x B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (/.f64 #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 (/.f64 #s(literal 1 binary64) B) (/.f64 x 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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (/.f64 (-.f64 #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))) (/.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 (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (/.f64 #s(literal 1 binary64) (*.f64 x B))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 x (*.f64 (*.f64 B B) #s(literal 1/3 binary64)))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 B x B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 #s(approx (/ -1 (sin B)) (/.f64 (fma.f64 B (*.f64 B #s(literal -1/6 binary64)) #s(literal -1 binary64)) B)) #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)))) |
#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))) (/.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 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 (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) #s(approx (/ B (+ (* B (* B (+ (* x 1/3) 1/6))) (- 1 x))) (/.f64 #s(literal 1 binary64) (*.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 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (fma.f64 B (fma.f64 x x x) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
#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 (- (/ 1 (sin B)) (/ x (tan 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)) (/.f64 #s(literal 1 binary64) B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (fma.f64 (*.f64 B 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) B))) |
#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 B (fma.f64 B (*.f64 B #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) 7/360)) (+ (* x 1/3) 1/6))) (- 1 x)) (*.f64 x (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) 7/360)) (+ (* x 1/3) 1/6))) (- 1 x)) B) (/.f64 (fma.f64 (*.f64 x (*.f64 B B)) (fma.f64 B (*.f64 B #s(literal -1/45 binary64)) #s(literal -1/3 binary64)) x) (neg.f64 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 (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) (/.f64 B (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.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)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.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 B (*.f64 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 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (fma.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) B) (/.f64 #s(literal 1 binary64) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (fma.f64 x (*.f64 x (neg.f64 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) (+ (* (* B B) (+ (* x 1/45) 7/360)) (+ (* x 1/3) 1/6))) (- 1 x)) B) (*.f64 (*.f64 B (*.f64 B B)) (+.f64 (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 B B)))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.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(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) x)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 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) #s(approx (+ (* x 1/45) 7/360) (*.f64 x #s(literal 1/45 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 (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 (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))) (-.f64 #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 (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)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x B)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x B))))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (/.f64 (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))) #s(literal 1 binary64)) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (-.f64 #s(literal 1 binary64) x))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 #s(literal 1 binary64) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (fma.f64 x (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) B) (/.f64 #s(literal -1 binary64) B)) (/.f64 #s(literal 1 binary64) 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 x #s(literal 1/3 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 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 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)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x B))) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal -1 binary64) (*.f64 x B)))) x)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (*.f64 (+.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 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x))) (*.f64 B (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) x))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) #s(approx (/ B (+ (* B (* B (+ (* x 1/3) 1/6))) (- 1 x))) (fma.f64 (*.f64 x (neg.f64 B)) (/.f64 (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (/.f64 B (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64))))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal -1 binary64) (*.f64 x B))) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x B)))) x)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) (/.f64 B (fma.f64 B (/.f64 (-.f64 (*.f64 (*.f64 B (*.f64 x #s(literal 1/3 binary64))) (*.f64 B (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 B #s(literal 1/6 binary64)) (*.f64 B #s(literal 1/6 binary64)))) (-.f64 (*.f64 B (*.f64 x #s(literal 1/3 binary64))) (*.f64 B #s(literal 1/6 binary64)))) (-.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)) #s(approx (/ 1 (+ (* B x) B)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x B))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x B))))) (/.f64 #s(literal -1 binary64) (*.f64 x 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) (*.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)) x) B)) |
3 calls:
| 24.0ms | B |
| 21.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 19.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.2% | 1 | x |
| 51.2% | 1 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 51.2% | 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 (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
#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 (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B)) #s(approx (+ (* x (cos B)) -1) (+.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 (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 #s(approx (- 1 (* x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 B x B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (/.f64 #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 (/.f64 #s(literal 1 binary64) B) (/.f64 x 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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (/.f64 (-.f64 #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))) (/.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 (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (/.f64 #s(literal 1 binary64) (*.f64 x B))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 x (*.f64 (*.f64 B B) #s(literal 1/3 binary64)))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 B x B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 #s(approx (/ -1 (sin B)) (/.f64 (fma.f64 B (*.f64 B #s(literal -1/6 binary64)) #s(literal -1 binary64)) B)) #s(approx (+ (* x (cos B)) -1) (+.f64 #s(literal -1 binary64) 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:
| 13.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 9.0ms | x |
| 8.0ms | B |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.9% | 1 | x |
| 50.9% | 1 | B |
| 50.9% | 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 (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
#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 (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B)) #s(approx (+ (* x (cos B)) -1) (+.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 (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 #s(approx (- 1 (* x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 B x B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* B x) B)) (/.f64 #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 (/.f64 #s(literal 1 binary64) B) (/.f64 x 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 |
| 6.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 6.0ms | B |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.7% | 1 | x |
| 50.7% | 1 | B |
| 50.7% | 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))))) |
| 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:
| 5.0ms | B |
| 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 | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 32.5% | 4 | B |
| 49.6% | 3 | x |
| 42.4% | 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 |
|---|---|---|
| 26.8% | 1 | B |
| 26.8% | 1 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 26.8% | 1 | x |
Compiled 20 to 14 computations (30% saved)
Total -0.9b remaining (-1.4%)
Threshold costs -0.9b (-1.4%)
| 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:
| 22.0ms | B |
| 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 |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.3% | 1 | x |
| 3.3% | 1 | B |
| 3.3% | 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)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1779.1852330577387 | 9713110708.686481 |
| 0.0ms | -386403594346.84973 | -15.605395125140092 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 7.421243351266254e-9 | 0.000562055054229719 |
| 10.0ms | 144× | 0 | valid |
Compiled 170 to 123 computations (27.6% saved)
ival-div: 2.0ms (28.5% of total)ival-tan: 2.0ms (28.5% of total)ival-add: 1.0ms (14.2% of total)ival-mult: 1.0ms (14.2% of total)ival-sin: 1.0ms (14.2% of total)ival-neg: 1.0ms (14.2% 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 |
|---|---|---|
| 20.0ms | 5.585592992936657e-8 | 0.00018396117456992648 |
| 24.0ms | -199.2662969318698 | -0.001557977516005932 |
| 34.0ms | 272× | 0 | valid |
Compiled 306 to 185 computations (39.5% saved)
ival-sin: 9.0ms (34.6% of total)ival-tan: 6.0ms (23.1% of total)ival-mult: 5.0ms (19.2% of total)ival-div: 3.0ms (11.5% of total)ival-add: 1.0ms (3.8% of total)ival-neg: 1.0ms (3.8% 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 |
| 34× | +-commutative_binary64 |
| 32× | sub-neg_binary64 |
| 28× | *-commutative_binary64 |
| 22× | neg-sub0_binary64 |
| 22× | neg-mul-1_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 85 | 338 |
| 1 | 112 | 336 |
| 2 | 145 | 336 |
| 3 | 164 | 336 |
| 4 | 178 | 336 |
| 5 | 181 | 336 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(/.f64 (fma.f64 (cos.f64 B) x #s(literal -1 binary64)) (neg.f64 (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 -200000000000 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 2000 binary64)) (/.f64 #s(approx (+ (* (cos B) x) -1) (+.f64 #s(literal -1 binary64) x)) (neg.f64 (sin.f64 B))) (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B))))) |
(/.f64 #s(approx (+ (* (cos B) x) -1) (+.f64 #s(literal -1 binary64) x)) (neg.f64 (sin.f64 B))) |
(if (<=.f64 B #s(literal 564931537257355/2305843009213693952 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.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) (*.f64 x #s(literal 1/3 binary64))) #s(literal 1 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) #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 6640827866535439/36893488147419103232 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) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(/.f64 (fma.f64 (cos.f64 B) x #s(literal -1 binary64)) (neg.f64 (sin.f64 B))) |
(neg.f64 (/.f64 (fma.f64 (cos.f64 B) x #s(literal -1 binary64)) (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 -200000000000 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 2000 binary64)) (/.f64 #s(approx (+ (* (cos B) x) -1) (+.f64 #s(literal -1 binary64) x)) (neg.f64 (sin.f64 B))) (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B))))) |
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 x (/.f64 #s(literal -1 binary64) (tan.f64 B)))) #s(literal -200000000000 binary64)) (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B))) (if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 x (/.f64 #s(literal -1 binary64) (tan.f64 B)))) #s(literal 2000 binary64)) (/.f64 #s(approx (+ (* (cos B) x) -1) (+.f64 x #s(literal -1 binary64))) (neg.f64 (sin.f64 B))) (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B))))) |
(/.f64 #s(approx (+ (* (cos B) x) -1) (+.f64 #s(literal -1 binary64) x)) (neg.f64 (sin.f64 B))) |
(/.f64 #s(approx (+ (* (cos B) x) -1) (+.f64 x #s(literal -1 binary64))) (neg.f64 (sin.f64 B))) |
(if (<=.f64 B #s(literal 564931537257355/2305843009213693952 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.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) (*.f64 x #s(literal 1/3 binary64))) #s(literal 1 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) #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 6640827866535439/36893488147419103232 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 |
| 13 808× | lower-fma.f64 |
| 13 808× | lower-fma.f32 |
| 12 306× | lower-fma.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 135 | 913 |
| 1 | 368 | 906 |
| 2 | 1218 | 888 |
| 3 | 4458 | 883 |
| 4 | 7788 | 881 |
| 0 | 8237 | 848 |
| 0 | 30 | 126 |
| 0 | 45 | 100 |
| 1 | 188 | 100 |
| 2 | 1286 | 100 |
| 0 | 9369 | 100 |
| 0 | 45 | 258 |
| 0 | 74 | 255 |
| 1 | 354 | 232 |
| 2 | 3228 | 232 |
| 0 | 8300 | 232 |
| 0 | 505 | 5684 |
| 1 | 1549 | 5521 |
| 2 | 5220 | 5444 |
| 0 | 8127 | 5001 |
| 0 | 249 | 3201 |
| 1 | 685 | 3163 |
| 2 | 2145 | 3112 |
| 3 | 5781 | 3013 |
| 0 | 8167 | 2813 |
| 0 | 460 | 5701 |
| 1 | 1450 | 5534 |
| 2 | 4914 | 5087 |
| 0 | 8361 | 4685 |
| 0 | 10 | 33 |
| 0 | 17 | 26 |
| 1 | 59 | 25 |
| 2 | 376 | 25 |
| 3 | 4328 | 25 |
| 0 | 8975 | 25 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 440 to 223 computations (49.3% saved)
(negabs B)
Compiled 424 to 168 computations (60.4% saved)
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