
Time bar (total: 16.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 6 |
| 15.6% | 15.6% | 84.3% | 0.1% | 0% | 0% | 0% | 7 |
| 16.7% | 15.6% | 78% | 0.1% | 0% | 6.2% | 0% | 8 |
| 25% | 23.4% | 70.2% | 0.1% | 0% | 6.2% | 0% | 9 |
| 29.7% | 26.9% | 63.6% | 0.1% | 0% | 9.4% | 0% | 10 |
| 30.8% | 26.9% | 60.5% | 0.1% | 0% | 12.5% | 0% | 11 |
| 35.9% | 31.4% | 56% | 0.1% | 0% | 12.5% | 0% | 12 |
Compiled 29 to 22 computations (24.1% saved)
| 1.4s | 8 256× | 0 | valid |
| 52.0ms | 290× | 0 | invalid |
ival-tan: 209.0ms (17.8% of total)ival-mult: 201.0ms (17.1% of total)ival-sin: 192.0ms (16.3% of total)ival-div: 177.0ms (15.1% of total)ival-pow: 167.0ms (14.2% of total)ival-add: 129.0ms (11% of total)ival-neg: 81.0ms (6.9% of total)exact: 10.0ms (0.9% of total)ival-true: 7.0ms (0.6% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 82 | 0 | - | 0 | - | (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
| 37 | 0 | - | 0 | - | (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) |
| 0 | 0 | - | 0 | - | (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 F F) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
| 0 | 0 | - | 0 | - | (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) |
| 0 | 0 | - | 0 | - | (*.f64 F F) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) x) |
| 0 | 0 | - | 0 | - | (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | F |
| 0 | 0 | - | 0 | - | (tan.f64 B) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) |
| 0 | 0 | - | 0 | - | (/.f64 F (sin.f64 B)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (tan.f64 B)) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | B |
| 0 | 0 | - | 0 | - | (sin.f64 B) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
pow.f64 | (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) | oflow-rescue | 82 | 0 |
| ↳ | (*.f64 F F) | overflow | 82 | |
| ↳ | (+.f64 (*.f64 F F) #s(literal 2 binary64)) | overflow | 82 | |
| ↳ | (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) | overflow | 82 | |
*.f64 | (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) | n*o | 37 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 60 | 0 |
| - | 27 | 169 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 60 | 0 | 0 |
| - | 27 | 0 | 169 |
| number | freq |
|---|---|
| 0 | 169 |
| 1 | 55 |
| 2 | 32 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 96.0ms | 512× | 0 | valid |
Compiled 268 to 64 computations (76.1% saved)
ival-tan: 17.0ms (23.5% of total)ival-mult: 12.0ms (16.6% of total)ival-pow: 11.0ms (15.2% of total)ival-div: 10.0ms (13.8% of total)ival-sin: 10.0ms (13.8% of total)ival-add: 7.0ms (9.7% of total)ival-neg: 4.0ms (5.5% of total)ival-true: 1.0ms (1.4% of total)exact: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 926× | times-frac |
| 816× | lower-fma.f64 |
| 816× | lower-fma.f32 |
| 748× | unsub-neg |
| 564× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 229 |
| 1 | 209 | 195 |
| 2 | 538 | 191 |
| 3 | 1197 | 191 |
| 4 | 2806 | 191 |
| 5 | 4494 | 191 |
| 6 | 5054 | 191 |
| 7 | 5344 | 191 |
| 8 | 5458 | 191 |
| 9 | 5466 | 191 |
| 10 | 5472 | 191 |
| 11 | 5800 | 191 |
| 12 | 5936 | 191 |
| 13 | 5936 | 191 |
| 14 | 5936 | 191 |
| 15 | 5936 | 191 |
| 0 | 20 | 24 |
| 0 | 37 | 24 |
| 1 | 58 | 21 |
| 2 | 98 | 21 |
| 3 | 150 | 21 |
| 4 | 210 | 21 |
| 5 | 314 | 21 |
| 6 | 466 | 21 |
| 7 | 908 | 21 |
| 8 | 1160 | 21 |
| 9 | 1260 | 21 |
| 10 | 1429 | 21 |
| 11 | 1552 | 21 |
| 12 | 1572 | 21 |
| 0 | 1572 | 19 |
| 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 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
| Outputs |
|---|
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
(fma.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (neg.f64 (/.f64 x (tan.f64 B)))) |
(negabs B)
Compiled 30 to 20 computations (33.3% saved)
Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 76.9% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
Compiled 30 to 20 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 128 | (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) | |
| cost-diff | 128 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) | |
| cost-diff | 320 | (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
| 816× | lower-fma.f64 |
| 816× | lower-fma.f32 |
| 472× | lower-*.f32 |
| 464× | lower-*.f64 |
| 224× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 103 |
| 0 | 37 | 103 |
| 1 | 58 | 96 |
| 2 | 98 | 96 |
| 3 | 150 | 96 |
| 4 | 210 | 96 |
| 5 | 314 | 96 |
| 6 | 466 | 96 |
| 7 | 908 | 96 |
| 8 | 1160 | 96 |
| 9 | 1260 | 96 |
| 10 | 1429 | 96 |
| 11 | 1552 | 96 |
| 12 | 1572 | 96 |
| 0 | 1572 | 87 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
(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 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) |
(/.f64 F (sin.f64 B)) |
F |
(sin.f64 B) |
(pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
(+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) |
(+.f64 (*.f64 F F) #s(literal 2 binary64)) |
(*.f64 F F) |
#s(literal 2 binary64) |
(*.f64 #s(literal 2 binary64) x) |
(neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
| Outputs |
|---|
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
(fma.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (neg.f64 (/.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 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) |
(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(/.f64 F (sin.f64 B)) |
F |
(sin.f64 B) |
(pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
(pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) |
(+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) |
(fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) |
(+.f64 (*.f64 F F) #s(literal 2 binary64)) |
(fma.f64 F F #s(literal 2 binary64)) |
(*.f64 F F) |
#s(literal 2 binary64) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
(neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
#s(literal -1/2 binary64) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1/2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1171875 | (/.f64 #s(literal 1 binary64) (tan.f64 B)) | |
| accuracy | 0.23046875 | (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) | |
| accuracy | 9.019693301314204 | (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) | |
| accuracy | 19.141514385455803 | (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
| 53.0ms | 256× | 0 | valid |
Compiled 119 to 22 computations (81.5% saved)
ival-div: 10.0ms (26.7% of total)ival-mult: 6.0ms (16% of total)ival-sin: 5.0ms (13.3% of total)ival-tan: 5.0ms (13.3% of total)ival-pow: 5.0ms (13.3% of total)ival-add: 3.0ms (8% of total)ival-neg: 2.0ms (5.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#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 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) (patch (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) #<representation binary64>) () ()) |
#s(alt (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (patch (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (patch (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) (patch (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal 1 binary64) (tan.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>) () ())) ()) |
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#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>) () ())) ()) |
39 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | F | @ | 0 | (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) |
| 3.0ms | x | @ | -inf | (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) |
| 3.0ms | B | @ | 0 | (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) |
| 2.0ms | x | @ | 0 | (* x (/ 1 (tan B))) |
| 2.0ms | B | @ | inf | (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) |
| 1× | egg-herbie |
| 19 798× | lower-fma.f64 |
| 19 798× | lower-fma.f32 |
| 6 374× | lower-*.f64 |
| 6 374× | lower-*.f32 |
| 5 638× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 496 | 4202 |
| 1 | 1484 | 4010 |
| 2 | 5378 | 3926 |
| 0 | 8574 | 3585 |
| 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)) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* x (- (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))) (/ (cos B) (sin B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B))))) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B))) |
(- (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) (/ (* x (cos B)) (sin B))) |
(- (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) (/ (* x (cos B)) (sin B))) |
(* -1 (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(+ 2 (* 2 x)) |
(+ 2 (+ (* 2 x) (pow F 2))) |
(+ 2 (+ (* 2 x) (pow F 2))) |
(+ 2 (+ (* 2 x) (pow F 2))) |
(pow F 2) |
(* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2)))))) |
(* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2)))))) |
(* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2)))))) |
(pow F 2) |
(* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2)))))) |
(* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2)))))) |
(* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2)))))) |
(+ 2 (pow F 2)) |
(+ 2 (+ (* 2 x) (pow F 2))) |
(+ 2 (+ (* 2 x) (pow F 2))) |
(+ 2 (+ (* 2 x) (pow F 2))) |
(* 2 x) |
(* x (+ 2 (+ (* 2 (/ 1 x)) (/ (pow F 2) x)))) |
(* x (+ 2 (+ (* 2 (/ 1 x)) (/ (pow F 2) x)))) |
(* x (+ 2 (+ (* 2 (/ 1 x)) (/ (pow F 2) x)))) |
(* 2 x) |
(* -1 (* x (- (* -1 (/ (+ 2 (pow F 2)) x)) 2))) |
(* -1 (* x (- (* -1 (/ (+ 2 (pow F 2)) x)) 2))) |
(* -1 (* x (- (* -1 (/ (+ 2 (pow F 2)) x)) 2))) |
(sqrt (/ 1 (+ 2 (* 2 x)))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(/ 1 F) |
(/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F) |
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F) |
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F) |
(/ -1 F) |
(* -1 (/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F)) |
(sqrt (/ 1 (+ 2 (pow F 2)))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* -1 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* 3/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* x (+ (* -5/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) |
(* (sqrt (/ 1 x)) (sqrt 1/2)) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))) (sqrt 1/2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))))) |
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))) |
(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (sqrt -1/2))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
(/ 1 (sin B)) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) |
(/ -1 (sin B)) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (/ 1 (sin B))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (/ 1 (sin B))) |
(* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B) |
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* -1 (* (* (pow B 2) (+ (* -1/36 F) (* 1/120 F))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))) B) |
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (* -1 (* (* (pow B 2) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F)))))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) B) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* -1 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))))) |
(+ (* -1/2 (* (/ (* F (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))))) |
(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(/ 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)) |
| 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 (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 B B)) x) B) |
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) |
(/.f64 (fma.f64 (*.f64 B B) (neg.f64 (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) x) B) |
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal -1/3 binary64) (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x #s(literal 2/945 binary64)) B) B (*.f64 x #s(literal 1/45 binary64))) (*.f64 B B)))) 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)) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(*.f64 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B))) |
(+ (* x (- (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(fma.f64 x (neg.f64 (fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 (cos.f64 B) (sin.f64 B)))) (*.f64 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B)))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(fma.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 3/2 binary64) (*.f64 x (/.f64 F (sin.f64 B))))) (fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 (cos.f64 B) (sin.f64 B)))) (*.f64 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B)))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(fma.f64 x (-.f64 (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 5 binary64)))) (*.f64 (/.f64 F (sin.f64 B)) #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 7 binary64)))) (*.f64 (*.f64 x (/.f64 F (sin.f64 B))) #s(literal -5/2 binary64))))) (fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 (cos.f64 B) (sin.f64 B)))) (*.f64 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B)))) |
(*.f64 x (-.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (sin.f64 B)) (/.f64 (cos.f64 B) (sin.f64 B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))) |
(*.f64 x (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 F (fma.f64 F F #s(literal 2 binary64)))) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (sin.f64 B))) (/.f64 (cos.f64 B) (sin.f64 B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))) (/ (cos B) (sin B)))) |
(*.f64 x (-.f64 (fma.f64 (*.f64 F (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sin.f64 B)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 F (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 F (fma.f64 F F #s(literal 2 binary64)))) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal 1/2 binary64))))))) (/.f64 (cos.f64 B) (sin.f64 B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B))))) |
(neg.f64 (*.f64 x (-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) F)) (sin.f64 B)))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B))))) |
(neg.f64 (*.f64 x (-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) F)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sin.f64 B)) (/.f64 (*.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) #s(literal -1/8 binary64)) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal -1/2 binary64))))) x)))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B))))) |
(neg.f64 (*.f64 x (-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 F (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal -1/2 binary64)))) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) F)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sin.f64 B)) (/.f64 (*.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) #s(literal -1/8 binary64)) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal -1/2 binary64)))))) x)))) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) F) F) (-.f64 (*.f64 (*.f64 x (*.f64 B B)) #s(literal 1/3 binary64)) x)) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 7/360 binary64) (*.f64 F #s(literal 1/6 binary64))) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x))) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B))) |
(fma.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) |
(- (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) (/ (* x (cos B)) (sin B))) |
(-.f64 (*.f64 F (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 4 binary64))))) (/.f64 (*.f64 (*.f64 F F) #s(literal -1/2 binary64)) (sin.f64 B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (sin.f64 B)))) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(- (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) (/ (* x (cos B)) (sin B))) |
(-.f64 (*.f64 F (fma.f64 (*.f64 F F) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 4 binary64))))) (/.f64 #s(literal -1/2 binary64) (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 5 binary64)))) (*.f64 (*.f64 F (/.f64 F (sin.f64 B))) #s(literal 3/8 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (sin.f64 B)))) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) (/ (* x (cos B)) (sin B))) |
(fma.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (sin.f64 B) (*.f64 F F))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) (/ (* x (cos B)) (sin B))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) (sin.f64 B)) (fma.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 4 binary64)) (/.f64 #s(literal -3/4 binary64) (*.f64 (*.f64 F F) (*.f64 F F))) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F))) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) (/ (* x (cos B)) (sin B))) |
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(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 F (fma.f64 F F #s(literal 2 binary64)))) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 (*.f64 F (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 F (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal 1/2 binary64))))))) |
(+ (* -1/2 (* (/ (* F (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 F (fma.f64 x (*.f64 (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/64 binary64)) (*.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 1/16 binary64)))))) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 F (fma.f64 F F #s(literal 2 binary64)))) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 (*.f64 F (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 F (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal 1/2 binary64)))))))) |
(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))) |
(/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sin.f64 B)) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) |
(fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) F)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sin.f64 B)) (/.f64 (*.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) #s(literal -1/8 binary64)) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal -1/2 binary64))))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 F (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal -1/2 binary64)))) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) F)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sin.f64 B)) (/.f64 (*.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) #s(literal -1/8 binary64)) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal -1/2 binary64)))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(-.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) F)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sin.f64 B)) (/.f64 (*.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) #s(literal -1/8 binary64)) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal -1/2 binary64))))) (/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) #s(literal 1/16 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))) #s(literal -1/64 binary64)) #s(literal -1/2 binary64))) (*.f64 F (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal -1/2 binary64))))) (*.f64 #s(literal -1/16 binary64) (sqrt.f64 x)))) (*.f64 x (*.f64 x x)))) |
(/ 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 (*.f64 B 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 B (*.f64 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)) |
| 9 162× | lower-fma.f64 |
| 9 162× | lower-fma.f32 |
| 5 634× | lower-*.f32 |
| 5 626× | lower-*.f64 |
| 2 936× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 71 |
| 0 | 37 | 67 |
| 1 | 122 | 66 |
| 2 | 789 | 66 |
| 0 | 8296 | 58 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
(+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) |
(pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
| Outputs |
|---|
#s(literal 1/2 binary64) |
(+.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) (tan.f64 B))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (tan.f64 B))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(neg.f64 (/.f64 (neg.f64 x) (tan.f64 B))) |
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (tan.f64 B) x) #s(literal 1 binary64))) |
(/.f64 x (tan.f64 B)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (tan.f64 B) x))) |
(/.f64 (pow.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #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 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 x (tan.f64 B))) |
(/.f64 (neg.f64 x) (neg.f64 (tan.f64 B))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(/.f64 (neg.f64 (neg.f64 x)) (tan.f64 B)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (tan.f64 B))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (tan.f64 B)) #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 (neg.f64 (pow.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(literal 3 binary64))) (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 -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 x (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 #s(literal 1 binary64) (tan.f64 B)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 (neg.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (tan.f64 B))) |
(*.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) x)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 B))) |
(*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) (neg.f64 x)) |
(*.f64 (/.f64 x (tan.f64 B)) #s(literal 1 binary64)) |
(*.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 (neg.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(*.f64 (/.f64 x (sin.f64 B)) (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 #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (tan.f64 B))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 B))) (cos.f64 B)) |
(*.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 (neg.f64 x) (tan.f64 B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 x (tan.f64 B)))) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 F F) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))))) |
(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 x (tan.f64 B))) |
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 x (tan.f64 B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 F F) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 F F) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (fma.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 x (tan.f64 B)))) (/.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (fma.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 x (tan.f64 B))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (tan.f64 B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 x (/.f64 #s(literal -1 binary64) (tan.f64 B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))) |
(fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(literal 1 binary64) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))) |
(fma.f64 F (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 F (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 #s(literal -1 binary64) (/.f64 x (tan.f64 B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))) |
(fma.f64 (neg.f64 F) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 (pow.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)) #s(literal 0 binary64))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 B) (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 B) F) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))) |
(/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 B) F)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 B) (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))))) |
(/.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B)) |
(/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (neg.f64 F)) (neg.f64 (sin.f64 B))) |
(/.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 (sin.f64 B) F))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (neg.f64 F))) (sin.f64 B)) |
(/.f64 (fma.f64 (pow.f64 (/.f64 F (sin.f64 B)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -3/2 binary64)) #s(literal 0 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 F F) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) #s(literal 0 binary64))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 F F) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) #s(literal 0 binary64)) (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) #s(literal 0 binary64))) |
(/.f64 (*.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (sin.f64 B)) |
(/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (sin.f64 B) F))) |
(/.f64 (*.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (neg.f64 (sin.f64 B))) |
(pow.f64 (/.f64 (sin.f64 B) (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))) |
(*.f64 F (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))) |
(*.f64 F (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B))) |
(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B))) |
(*.f64 (neg.f64 F) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) F))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (/.f64 F (sin.f64 B)))) |
(*.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(*.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (neg.f64 F)) (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (/.f64 F (sin.f64 B))))) |
(*.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64))) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(*.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F) |
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) F))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (sin.f64 B)) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) F))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 F (sin.f64 B)))) |
(*.f64 (/.f64 (neg.f64 F) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B))) |
(*.f64 (*.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(*.f64 (*.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/8 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/8 binary64))) |
(exp.f64 (*.f64 (log.f64 (tan.f64 B)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 B))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B))) |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 B))) |
(/.f64 (neg.f64 (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(pow.f64 (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 (*.f64 (tan.f64 B) (tan.f64 B)) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (tan.f64 B))) #s(literal -1 binary64)) |
(*.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 (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 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (cos.f64 B)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (cos.f64 B) #s(literal 1 binary64))) |
(*.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)) (*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 1 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))) |
Compiled 19 566 to 1 840 computations (90.6% saved)
22 alts after pruning (22 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 494 | 22 | 516 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 495 | 22 | 517 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 83.5% | (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
| 83.5% | (fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) F)) (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 76.9% | (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))) | |
| 83.5% | (fma.f64 F (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 73.0% | (/.f64 (-.f64 (*.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (tan.f64 B) x)) (sin.f64 B)) (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x))) | |
| 77.5% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 B) F))) | |
| ▶ | 83.4% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B))) |
| 77.5% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 B) F) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))) | |
| 76.8% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 2 binary64)))) | |
| ▶ | 45.4% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) |
| 52.2% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) F) F)) B))) | |
| 53.8% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) | |
| 57.4% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B)))) | |
| 65.4% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (/.f64 F B)))) | |
| 52.1% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) | |
| ▶ | 46.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B)) |
| 46.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 7/360 binary64) (*.f64 F #s(literal 1/6 binary64))) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x))) B)) | |
| 46.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) F) F) (-.f64 (*.f64 (*.f64 x (*.f64 B B)) #s(literal 1/3 binary64)) x)) B)) | |
| ▶ | 47.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B)) |
| 53.8% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))) | |
| 29.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B)))) | |
| 55.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))) |
Compiled 1 178 to 712 computations (39.6% saved)
| 1× | egg-herbie |
Found 20 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 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B))) | |
| cost-diff | 320 | (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) | |
| 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 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) | |
| cost-diff | 320 | (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) | |
| cost-diff | 0 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B)) | |
| cost-diff | 128 | (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) | |
| cost-diff | 320 | (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64))) | |
| cost-diff | 320 | (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) | |
| cost-diff | 0 | (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) | |
| cost-diff | 0 | (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B) | |
| cost-diff | 0 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B)) | |
| cost-diff | 0 | (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) | |
| cost-diff | 0 | (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) | |
| cost-diff | 0 | (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
| 16 388× | lower-fma.f32 |
| 16 364× | lower-fma.f64 |
| 3 828× | lower-*.f32 |
| 3 804× | lower-*.f64 |
| 3 686× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 850 |
| 0 | 124 | 838 |
| 1 | 235 | 815 |
| 2 | 549 | 815 |
| 3 | 1650 | 806 |
| 4 | 5150 | 806 |
| 0 | 8056 | 781 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) |
(pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) |
#s(literal 2 binary64) |
x |
(fma.f64 F F #s(literal 2 binary64)) |
F |
#s(literal -1/2 binary64) |
(sin.f64 B) |
B |
(/.f64 (neg.f64 x) (tan.f64 B)) |
(neg.f64 x) |
(tan.f64 B) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B)) |
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B) |
(fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) |
F |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
(fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) |
x |
#s(literal 2 binary64) |
(fma.f64 F F #s(literal 2 binary64)) |
(neg.f64 x) |
B |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 B B) |
B |
#s(literal 1 binary64) |
(*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) |
F |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) |
(fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) |
x |
#s(literal 2 binary64) |
(fma.f64 F F #s(literal 2 binary64)) |
(fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) |
(fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) (*.f64 x #s(literal 1/3 binary64))) |
(fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) |
#s(literal 1/45 binary64) |
(fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64))))) |
(*.f64 B (*.f64 x #s(literal 2/945 binary64))) |
(*.f64 x #s(literal 2/945 binary64)) |
#s(literal 2/945 binary64) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))) |
(fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64))) |
(neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) |
(*.f64 B (*.f64 F #s(literal -31/15120 binary64))) |
(*.f64 F #s(literal -31/15120 binary64)) |
#s(literal -31/15120 binary64) |
(*.f64 F #s(literal 7/360 binary64)) |
#s(literal 7/360 binary64) |
(*.f64 x #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
(neg.f64 x) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) |
(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 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))) |
(/.f64 F (sin.f64 B)) |
F |
(sin.f64 B) |
#s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)) |
(/.f64 #s(literal 1 binary64) F) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 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 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B)) |
(*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
F |
(pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) |
#s(literal 2 binary64) |
(fma.f64 F F #s(literal 2 binary64)) |
#s(literal -1/2 binary64) |
(sin.f64 B) |
| Outputs |
|---|
(fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 F (/.f64 (pow.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) (neg.f64 (/.f64 x (tan.f64 B)))) |
(/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) |
(/.f64 (pow.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) |
(pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) |
(fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) |
#s(literal 2 binary64) |
x |
(fma.f64 F F #s(literal 2 binary64)) |
F |
#s(literal -1/2 binary64) |
(sin.f64 B) |
B |
(/.f64 (neg.f64 x) (tan.f64 B)) |
(neg.f64 (/.f64 x (tan.f64 B))) |
(neg.f64 x) |
(tan.f64 B) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) x) B)) |
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B) |
(/.f64 (-.f64 (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) x) B) |
(fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) |
(-.f64 (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) x) |
F |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
(fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) |
(fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) |
x |
#s(literal 2 binary64) |
(fma.f64 F F #s(literal 2 binary64)) |
(neg.f64 x) |
B |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x (fma.f64 B (*.f64 B #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (*.f64 F (fma.f64 B (*.f64 B #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))))) (*.f64 x #s(literal 1/3 binary64))) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 F (*.f64 #s(literal 1/6 binary64) (*.f64 B B)) F)) x)) B)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x (fma.f64 B (*.f64 B #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (*.f64 F (fma.f64 B (*.f64 B #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))))) (*.f64 x #s(literal 1/3 binary64))) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 F (*.f64 #s(literal 1/6 binary64) (*.f64 B B)) F)) x)) B) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) |
(fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x (fma.f64 B (*.f64 B #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (*.f64 F (fma.f64 B (*.f64 B #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))))) (*.f64 x #s(literal 1/3 binary64))) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 F (*.f64 #s(literal 1/6 binary64) (*.f64 B B)) F)) x)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) |
(fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 B B) |
B |
#s(literal 1 binary64) |
(*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) |
(*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) |
F |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) |
(fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) |
(fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) |
x |
#s(literal 2 binary64) |
(fma.f64 F F #s(literal 2 binary64)) |
(fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) |
(fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x (fma.f64 B (*.f64 B #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (*.f64 F (fma.f64 B (*.f64 B #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) |
(fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) (*.f64 x #s(literal 1/3 binary64))) |
(fma.f64 (*.f64 B B) (fma.f64 x (fma.f64 B (*.f64 B #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (*.f64 F (fma.f64 B (*.f64 B #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))))) (*.f64 x #s(literal 1/3 binary64))) |
(fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) |
(fma.f64 x (fma.f64 B (*.f64 B #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (*.f64 F (fma.f64 B (*.f64 B #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))))) |
#s(literal 1/45 binary64) |
(fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64))))) |
(fma.f64 x (*.f64 B (*.f64 B #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (*.f64 F (fma.f64 B (*.f64 B #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))))) |
(*.f64 B (*.f64 x #s(literal 2/945 binary64))) |
(*.f64 x (*.f64 B #s(literal 2/945 binary64))) |
(*.f64 x #s(literal 2/945 binary64)) |
#s(literal 2/945 binary64) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (*.f64 F (fma.f64 B (*.f64 B #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)))) |
(fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64))) |
(*.f64 F (fma.f64 B (*.f64 B #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) |
(neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) |
(*.f64 (*.f64 F B) #s(literal 31/15120 binary64)) |
(*.f64 B (*.f64 F #s(literal -31/15120 binary64))) |
(*.f64 F (*.f64 B #s(literal -31/15120 binary64))) |
(*.f64 F #s(literal -31/15120 binary64)) |
#s(literal -31/15120 binary64) |
(*.f64 F #s(literal 7/360 binary64)) |
#s(literal 7/360 binary64) |
(*.f64 x #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
(neg.f64 x) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) |
(fma.f64 F (/.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)) (sin.f64 B)) (neg.f64 (/.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 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))) |
(*.f64 F (/.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)) (sin.f64 B))) |
(/.f64 F (sin.f64 B)) |
F |
(sin.f64 B) |
#s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)) |
(/.f64 #s(literal 1 binary64) F) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B))) |
(fma.f64 F (/.f64 (pow.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) (neg.f64 (/.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 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B)) |
(*.f64 F (/.f64 (pow.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B))) |
(*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(*.f64 F (pow.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
F |
(pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) |
(fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) |
#s(literal 2 binary64) |
(fma.f64 F F #s(literal 2 binary64)) |
#s(literal -1/2 binary64) |
(sin.f64 B) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.23046875 | (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) | |
| accuracy | 0.25 | (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) | |
| accuracy | 1.5941702230758024 | (/.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B)) | |
| accuracy | 19.141514385455817 | (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) | |
| accuracy | 0.1171875 | (/.f64 #s(literal 1 binary64) (tan.f64 B)) | |
| accuracy | 0.23046875 | (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) | |
| accuracy | 9.019693301314204 | (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))) | |
| accuracy | 45.47594992018158 | #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)) | |
| accuracy | 3.7031043583020584 | (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) | |
| accuracy | 5.386639813005771 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))) | |
| accuracy | 18.523001273418224 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) | |
| accuracy | 28.294145663120883 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B)) | |
| accuracy | 0.109375 | (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) | |
| accuracy | 0.5067193313924622 | (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) | |
| accuracy | 18.523001273418224 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) | |
| accuracy | 28.33050284817771 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B)) | |
| accuracy | 0.1171875 | (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) | |
| accuracy | 0.12890625 | (/.f64 (neg.f64 x) (tan.f64 B)) | |
| accuracy | 0.36556625976844204 | (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) | |
| accuracy | 19.141514385455817 | (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) |
| 173.0ms | 256× | 0 | valid |
Compiled 868 to 71 computations (91.8% saved)
ival-mult: 64.0ms (46.1% of total)const: 17.0ms (12.3% of total)ival-add: 16.0ms (11.5% of total)ival-div: 15.0ms (10.8% of total)ival-pow: 11.0ms (7.9% of total)ival-sin: 6.0ms (4.3% of total)ival-tan: 4.0ms (2.9% of total)ival-neg: 4.0ms (2.9% of total)ival-sqrt: 2.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) #<representation binary64>) () ()) |
#s(alt (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) (patch (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (patch (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) (patch (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B)) (patch #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B) (patch (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B) #<representation binary64>) () ()) |
#s(alt (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) (patch (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) (patch (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64))) (patch (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (patch (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B)) (patch #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B)) #<representation binary64>) () ()) |
#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 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) (patch (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) #<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 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B))) (patch (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B))) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 x) (tan.f64 B)) (patch (/.f64 (neg.f64 x) (tan.f64 B)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)) (patch #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))) (patch (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B)) (patch (/.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B)) #<representation binary64>) () ()) |
#s(alt (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (patch (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* -1 (/ (cos B) (sin B))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* -1 (/ (cos B) (sin B))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* -1 (/ (cos B) (sin B))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor inf x) (#s(alt (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B)))) (taylor inf x) (#s(alt (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))) (taylor inf x) (#s(alt (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))) (/ (cos B) (sin B)))) (taylor inf x) (#s(alt (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor 0 F) (#s(alt (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))) (taylor 0 F) (#s(alt (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x (cos B)) (sin B))) (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))))) (taylor 0 F) (#s(alt (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x (cos B)) (sin B))) (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) (taylor 0 F) (#s(alt (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) #<representation binary64>) () ())) ()) |
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#s(alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) (taylor inf F) (#s(alt (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (patch (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) (taylor inf F) (#s(alt (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (patch (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor -inf F) (#s(alt (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (patch (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) 1) (taylor -inf F) (#s(alt (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (patch (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4)))) 1) (taylor -inf F) (#s(alt (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (patch (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6))))) 1) (taylor -inf F) (#s(alt (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (patch (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (taylor 0 x) (#s(alt (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (patch (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* F (sqrt (/ 1 (+ 2 (pow F 2)))))) (taylor 0 x) (#s(alt (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (patch (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (taylor 0 x) (#s(alt (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (patch (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))))) (taylor 0 x) (#s(alt (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (patch (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (* F (sqrt 1/2)) (sqrt (/ 1 x))) (taylor inf x) (#s(alt (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (patch (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (patch (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x))))) (taylor inf x) (#s(alt (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (patch (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (* (/ (* F (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x)))))) (taylor inf x) (#s(alt (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (patch (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (patch (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (patch (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))) (taylor -inf x) (#s(alt (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (patch (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (sqrt -1/2)) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))) (taylor -inf x) (#s(alt (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (patch (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
183 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | F | @ | inf | (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) |
| 6.0ms | F | @ | inf | (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360))))) |
| 5.0ms | F | @ | -inf | (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) |
| 3.0ms | F | @ | -inf | (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360))))) |
| 2.0ms | x | @ | inf | (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) |
| 1× | egg-herbie |
| 8 684× | lower-fma.f64 |
| 8 684× | lower-fma.f32 |
| 6 588× | lower-+.f64 |
| 6 588× | lower-+.f32 |
| 6 014× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1501 | 25093 |
| 1 | 4915 | 24275 |
| 0 | 8448 | 22186 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* -1 (/ (cos B) (sin B))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* -1 (/ (cos B) (sin B))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* -1 (/ (cos B) (sin B))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))) (/ (cos B) (sin B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B))))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B)))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B))))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B)))))) |
(- (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(- (+ (* -1 (/ (* x (cos B)) (sin B))) (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B))))) (/ 1 (sin B))) |
(- (+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))))) (/ 1 (sin B))) |
(- (+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B))))))) (/ 1 (sin B))) |
(/ (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B) |
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x))))) B) |
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x))))))))) B) |
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x)))))))))))))) B) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) |
(* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* -1 (* (/ x (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ x (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ x (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* (sqrt (/ 1 x)) (/ (sqrt 1/2) (sin B))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (* (sin B) (sqrt 1/2))))) (* (sqrt (/ 1 x)) (/ (sqrt 1/2) (sin B)))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (* (sin B) (sqrt 1/2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (* (sin B) (sqrt 1/2))))) (* (sqrt (/ 1 x)) (/ (sqrt 1/2) (sin B))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))) (* (sin B) (sqrt 1/2))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (* (sin B) (sqrt 1/2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (* (sin B) (sqrt 1/2))))) (* (sqrt (/ 1 x)) (/ (sqrt 1/2) (sin B)))))) |
(* (sqrt (/ 1 x)) (/ (* (sqrt -1) (sqrt -1/2)) (sin B))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (* (sin B) (sqrt -1/2))))) (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (sqrt -1/2)) (sin B)))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (* (sin B) (sqrt -1/2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt -1/2))))) (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (sqrt -1/2)) (sin B))))) |
(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt -1/2))))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (* (sin B) (sqrt -1/2)))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (* (sin B) (sqrt -1/2))))) (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (sqrt -1/2)) (sin B))))) |
(* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))) |
(+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(/ 1 (* F (sin B))) |
(/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) F) |
(/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) F) |
(/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) F) |
(/ -1 (* F (sin B))) |
(* -1 (/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) F)) |
(* -1 (/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) F)) |
(* -1 (/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) F)) |
(* (/ 1 B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(/ (+ (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (* 1/6 (* (pow B 2) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) B) |
(/ (+ (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (* (pow B 2) (+ (* 7/360 (* (pow B 2) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/6 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))) B) |
(/ (+ (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (* (pow B 2) (+ (* 1/6 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 31/15120 (* (pow B 2) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 7/360 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))))) B) |
(* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
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(sqrt (/ 1 (+ 2 (pow F 2)))) |
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(* (sqrt (/ 1 x)) (sqrt 1/2)) |
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(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))) |
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(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (sqrt -1/2))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))) |
(sqrt (/ 1 (+ 2 (* 2 x)))) |
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(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))) |
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(/ 1 F) |
(/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F) |
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F) |
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F) |
(/ -1 F) |
(* -1 (/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F)) |
(+ 2 (pow F 2)) |
(+ 2 (+ (* 2 x) (pow F 2))) |
(+ 2 (+ (* 2 x) (pow F 2))) |
(+ 2 (+ (* 2 x) (pow F 2))) |
(* 2 x) |
(* x (+ 2 (+ (* 2 (/ 1 x)) (/ (pow F 2) x)))) |
(* x (+ 2 (+ (* 2 (/ 1 x)) (/ (pow F 2) x)))) |
(* x (+ 2 (+ (* 2 (/ 1 x)) (/ (pow F 2) x)))) |
(* 2 x) |
(* -1 (* x (- (* -1 (/ (+ 2 (pow F 2)) x)) 2))) |
(* -1 (* x (- (* -1 (/ (+ 2 (pow F 2)) x)) 2))) |
(* -1 (* x (- (* -1 (/ (+ 2 (pow F 2)) x)) 2))) |
(+ 2 (* 2 x)) |
(+ 2 (+ (* 2 x) (pow F 2))) |
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(+ 2 (+ (* 2 x) (pow F 2))) |
(pow F 2) |
(* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2)))))) |
(* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2)))))) |
(* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2)))))) |
(pow F 2) |
(* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2)))))) |
(* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2)))))) |
(* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* x (- (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))) (/ (cos B) (sin B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B))))) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B))) |
(- (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) (/ (* x (cos B)) (sin B))) |
(- (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) (/ (* x (cos B)) (sin B))) |
(* -1 (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(* -1 (/ x B)) |
(+ (* -1 (/ x B)) (* (/ F B) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(+ (* -1 (/ x B)) (* F (+ (* -1/2 (* (/ (pow F 2) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x)))))))) |
(+ (* -1 (/ x B)) (* F (+ (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(/ (- 1 x) B) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (/ 1 B)) (/ x B)) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (/ 1 B))) (/ x B)) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* B (pow F 6)))) (/ 1 B)))) (/ x B)) |
(* -1 (/ (+ 1 x) B)) |
(+ (* -1 (/ (+ 1 x) B)) (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2))))) |
(+ (* -1 (/ (+ 1 x) B)) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))))) |
(+ (* -1 (/ (+ 1 x) B)) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* B (pow F 6))))))) |
(* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* x (- (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* -1 (/ x B)) |
(* x (- (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3)))) (/ 1 B))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3))))) (/ 1 B))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3)))))) (/ 1 B))) |
(* -1 (/ x B)) |
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 (pow x 3))))) (/ 1 B)))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x)))) x)) (/ 1 B)))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x))))) x)) (/ 1 B)))) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(* -1 x) |
(- (* F (sqrt (/ 1 (+ 2 (* 2 x))))) x) |
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))) x) |
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) x) |
(- 1 x) |
(- (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) x) |
(- (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) x) |
(- (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) x) |
(* -1 (+ 1 x)) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ 1 x)) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4)))) (+ 1 x)) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6))))) (+ 1 x)) |
(* F (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) 1))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) 1))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) 1))) |
(* -1 x) |
(* x (- (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))) 1)) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) 1)) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))))) 1)) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 (pow x 3)))))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))) x))))) |
(sqrt (/ 1 (+ 2 (pow F 2)))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* -1 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* 3/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* x (+ (* -5/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) |
(* (sqrt (/ 1 x)) (sqrt 1/2)) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))) (sqrt 1/2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))))) |
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))) |
(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (sqrt -1/2))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))) |
(sqrt (/ 1 (+ 2 (* 2 x)))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(/ 1 F) |
(/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F) |
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F) |
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F) |
(/ -1 F) |
(* -1 (/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F)) |
(* (sqrt (/ 1 (+ 2 (pow F 2)))) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F))) |
(+ (* x (+ 1/45 (+ (* -1 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F)))) (* 2/945 (pow B 2))))) (* (sqrt (/ 1 (+ 2 (pow F 2)))) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F)))) |
(+ (* x (+ 1/45 (+ (* -1 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F)))) (+ (* 2/945 (pow B 2)) (* 3/2 (* (* x (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (sqrt (/ 1 (+ 2 (pow F 2)))) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F)))) |
(+ (* x (+ 1/45 (+ (* -1 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F)))) (+ (* 2/945 (pow B 2)) (* x (+ (* -5/2 (* (* x (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F)))))))))) (* (sqrt (/ 1 (+ 2 (pow F 2)))) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F)))) |
(* x (+ 1/45 (* 2/945 (pow B 2)))) |
(* x (+ 1/45 (+ (* 2/945 (pow B 2)) (* (sqrt (/ 1 (pow x 3))) (* (sqrt 1/2) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F))))))) |
(* x (+ 1/45 (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (+ 2 (pow F 2)) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F))) (sqrt 1/2)))) (+ (* 2/945 (pow B 2)) (* (sqrt (/ 1 (pow x 3))) (* (sqrt 1/2) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F)))))))) |
(* x (+ 1/45 (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (+ 2 (pow F 2)) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F))) (sqrt 1/2)))) (+ (* 2/945 (pow B 2)) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (* (pow (+ 2 (pow F 2)) 2) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F))) (sqrt 1/2)))) (* (sqrt (/ 1 (pow x 3))) (* (sqrt 1/2) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F))))))))) |
(* -1 (* x (- (* -2/945 (pow B 2)) 1/45))) |
(* -1 (* x (- (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (* (sqrt -1/2) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F)))))) (* -2/945 (pow B 2))) 1/45))) |
(* -1 (* x (- (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F)))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F)))))) x)) (* -2/945 (pow B 2))) 1/45))) |
(* -1 (* x (- (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F)))) (sqrt -1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F)))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F))))))) x)) (* -2/945 (pow B 2))) 1/45))) |
(+ (* 7/360 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/45 x)) |
(+ (* 7/360 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/45 x) (* (pow B 2) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 2/945 x))))) |
(+ (* 7/360 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/45 x) (* (pow B 2) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 2/945 x))))) |
(+ (* 7/360 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/45 x) (* (pow B 2) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 2/945 x))))) |
(* (pow B 2) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 2/945 x))) |
(* (pow B 2) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 2/945 x) (+ (* 7/360 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/45 (/ x (pow B 2))))))) |
(* (pow B 2) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 2/945 x) (+ (* 7/360 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/45 (/ x (pow B 2))))))) |
(* (pow B 2) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 2/945 x) (+ (* 7/360 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/45 (/ x (pow B 2))))))) |
(* (pow B 2) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 2/945 x))) |
(* (pow B 2) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 2/945 x) (+ (* 7/360 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/45 (/ x (pow B 2))))))) |
(* (pow B 2) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 2/945 x) (+ (* 7/360 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/45 (/ x (pow B 2))))))) |
(* (pow B 2) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 2/945 x) (+ (* 7/360 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/45 (/ x (pow B 2))))))) |
(+ (* 2/945 (* (pow B 2) x)) (* 1/45 x)) |
(+ (* 2/945 (* (pow B 2) x)) (+ (* 1/45 x) (* (* F (+ 7/360 (* 31/15120 (pow B 2)))) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(+ (* 2/945 (* (pow B 2) x)) (+ (* 1/45 x) (* F (+ (* -1/2 (* (* (pow F 2) (+ 7/360 (* 31/15120 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (+ 7/360 (* 31/15120 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))))))) |
(+ (* 2/945 (* (pow B 2) x)) (+ (* 1/45 x) (* F (+ (* (+ 7/360 (* 31/15120 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (+ 7/360 (* 31/15120 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (* (pow F 2) (+ 7/360 (* 31/15120 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
(+ 7/360 (+ (* 31/15120 (pow B 2)) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x)))) |
(+ 7/360 (+ (* -1/2 (/ (* (+ 7/360 (* 31/15120 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (+ (* 31/15120 (pow B 2)) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))) |
(+ 7/360 (+ (* -1/2 (/ (* (+ 7/360 (* 31/15120 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (+ (* -1/2 (/ (* (+ 7/360 (* 31/15120 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (+ (* 31/15120 (pow B 2)) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x)))))) |
(+ 7/360 (+ (* -1/2 (/ (* (+ 7/360 (* 31/15120 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (+ (* -1/2 (/ (* (+ 7/360 (* 31/15120 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (+ (* -1/2 (/ (* (+ 7/360 (* 31/15120 (pow B 2))) (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3))) (pow F 6))) (+ (* 31/15120 (pow B 2)) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))))) |
(- (+ (* -31/15120 (pow B 2)) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))) 7/360) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -31/15120 (pow B 2)) 7/360)) (pow F 2))) (+ (* -31/15120 (pow B 2)) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x)))) 7/360) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -31/15120 (pow B 2)) 7/360)) (pow F 2))) (+ (* -1/2 (/ (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- (* -31/15120 (pow B 2)) 7/360)) (pow F 4))) (+ (* -31/15120 (pow B 2)) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))) 7/360) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -31/15120 (pow B 2)) 7/360)) (pow F 2))) (+ (* -1/2 (/ (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- (* -31/15120 (pow B 2)) 7/360)) (pow F 4))) (+ (* -1/2 (/ (* (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (- (* -31/15120 (pow B 2)) 7/360)) (pow F 6))) (+ (* -31/15120 (pow B 2)) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x)))))) 7/360) |
(* 7/360 F) |
(+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F)) |
(+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F)) |
(+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F)) |
(* 31/15120 (* (pow B 2) F)) |
(* (pow B 2) (+ (* 31/15120 F) (* 7/360 (/ F (pow B 2))))) |
(* (pow B 2) (+ (* 31/15120 F) (* 7/360 (/ F (pow B 2))))) |
(* (pow B 2) (+ (* 31/15120 F) (* 7/360 (/ F (pow B 2))))) |
(* 31/15120 (* (pow B 2) F)) |
(* (pow B 2) (+ (* 31/15120 F) (* 7/360 (/ F (pow B 2))))) |
(* (pow B 2) (+ (* 31/15120 F) (* 7/360 (/ F (pow B 2))))) |
(* (pow B 2) (+ (* 31/15120 F) (* 7/360 (/ F (pow B 2))))) |
(* F (+ 7/360 (* 31/15120 (pow B 2)))) |
(* F (+ 7/360 (* 31/15120 (pow B 2)))) |
(* F (+ 7/360 (* 31/15120 (pow B 2)))) |
(* F (+ 7/360 (* 31/15120 (pow B 2)))) |
(* F (+ 7/360 (* 31/15120 (pow B 2)))) |
(* F (+ 7/360 (* 31/15120 (pow B 2)))) |
(* F (+ 7/360 (* 31/15120 (pow B 2)))) |
(* F (+ 7/360 (* 31/15120 (pow B 2)))) |
(* -1 (* F (- (* -31/15120 (pow B 2)) 7/360))) |
(* -1 (* F (- (* -31/15120 (pow B 2)) 7/360))) |
(* -1 (* F (- (* -31/15120 (pow B 2)) 7/360))) |
(* -1 (* F (- (* -31/15120 (pow B 2)) 7/360))) |
(* 31/15120 (* B F)) |
(* 31/15120 (* B F)) |
(* 31/15120 (* B F)) |
(* 31/15120 (* B F)) |
(* 31/15120 (* B F)) |
(* 31/15120 (* B F)) |
(* 31/15120 (* B F)) |
(* 31/15120 (* B F)) |
(* 31/15120 (* B F)) |
(* 31/15120 (* B F)) |
(* 31/15120 (* B F)) |
(* 31/15120 (* B F)) |
(* 31/15120 (* B F)) |
(* 31/15120 (* B F)) |
(* 31/15120 (* B F)) |
(* 31/15120 (* B F)) |
(* 31/15120 (* B F)) |
(* 31/15120 (* B F)) |
(* 31/15120 (* B F)) |
(* 31/15120 (* B F)) |
(* 31/15120 (* B F)) |
(* 31/15120 (* B F)) |
(* 31/15120 (* B F)) |
(* 31/15120 (* B F)) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* x (- (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))) (/ (cos B) (sin B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B))))) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
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(+ (* (pow F 2) (- (* (pow F 2) (+ (* -1 (/ (pow F 2) (pow (+ 2 (* 2 x)) 4))) (/ 1 (pow (+ 2 (* 2 x)) 3)))) (/ 1 (pow (+ 2 (* 2 x)) 2)))) (/ 1 (+ 2 (* 2 x)))) |
(/ 1 (pow F 2)) |
(/ (+ 1 (* -1 (/ (+ 2 (* 2 x)) (pow F 2)))) (pow F 2)) |
(/ (- (+ 1 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2))))) (pow F 2)) |
(/ (- (+ 1 (* -1 (/ (pow (+ 2 (* 2 x)) 3) (pow F 6)))) (+ (* -1 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2)))))) (pow F 2)) |
(/ 1 (pow F 2)) |
(/ (+ 1 (* -1 (/ (+ 2 (* 2 x)) (pow F 2)))) (pow F 2)) |
(/ (- (+ 1 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2))))) (pow F 2)) |
(/ (- (+ 1 (* -1 (/ (pow (+ 2 (* 2 x)) 3) (pow F 6)))) (+ (* -1 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2)))))) (pow F 2)) |
(* (sqrt (/ 1 (+ 2 (pow F 2)))) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F))) |
(+ (* -1 (* (* x (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (sqrt (/ 1 (+ 2 (pow F 2)))) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F)))) |
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(* (sqrt (/ 1 x)) (* (sqrt 1/2) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F)))) |
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(* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F))))) |
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(* (* F (+ 7/360 (* 31/15120 (pow B 2)))) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (* -1/2 (* (* (pow F 2) (+ 7/360 (* 31/15120 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (+ 7/360 (* 31/15120 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(* F (+ (* (+ 7/360 (* 31/15120 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (+ 7/360 (* 31/15120 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (* (pow F 2) (+ 7/360 (* 31/15120 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* F (+ (* (+ 7/360 (* 31/15120 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (+ 7/360 (* 31/15120 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (* (pow F 2) (+ 7/360 (* 31/15120 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (+ 7/360 (* 31/15120 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
(+ 7/360 (* 31/15120 (pow B 2))) |
(+ 7/360 (+ (* -1/2 (/ (* (+ 7/360 (* 31/15120 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (* 31/15120 (pow B 2)))) |
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(- (* -31/15120 (pow B 2)) 7/360) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -31/15120 (pow B 2)) 7/360)) (pow F 2))) (* -31/15120 (pow B 2))) 7/360) |
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(* 7/360 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) |
(+ (* 31/15120 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 7/360 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) |
(+ (* 31/15120 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 7/360 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) |
(+ (* 31/15120 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 7/360 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) |
(* 31/15120 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) |
(* (pow B 2) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 7/360 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))) |
(* (pow B 2) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 7/360 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))) |
(* (pow B 2) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 7/360 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))) |
(* 31/15120 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) |
(* (pow B 2) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 7/360 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))) |
(* (pow B 2) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 7/360 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))) |
(* (pow B 2) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 7/360 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))) |
(- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) |
(- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) |
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(* (pow B 6) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 2/945 x))) |
(* (pow B 6) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 2/945 x) (+ (* 7/360 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/45 (/ x (pow B 2))))))) |
(* (pow B 6) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 2/945 x) (+ (* 7/360 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/45 (/ x (pow B 2))) (+ (* 1/6 (* (/ F (pow B 4)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 (/ x (pow B 4))))))))) |
(* (pow B 6) (- (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 2/945 x) (+ (* 7/360 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/45 (/ x (pow B 2))) (+ (* 1/6 (* (/ F (pow B 4)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 (/ x (pow B 4))) (* (/ F (pow B 6)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) (/ x (pow B 6)))) |
(* (pow B 6) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 2/945 x))) |
(* (pow B 6) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 2/945 x) (+ (* 7/360 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/45 (/ x (pow B 2))))))) |
(* (pow B 6) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 2/945 x) (+ (* 7/360 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/45 (/ x (pow B 2))) (+ (* 1/6 (* (/ F (pow B 4)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 (/ x (pow B 4))))))))) |
(* (pow B 6) (- (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 2/945 x) (+ (* 7/360 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/45 (/ x (pow B 2))) (+ (* 1/6 (* (/ F (pow B 4)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 (/ x (pow B 4))) (* (/ F (pow B 6)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) (/ x (pow B 6)))) |
(- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))) x) |
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(- (+ (* F (+ (* (* (pow B 4) (+ 7/360 (* 31/15120 (pow B 2)))) (sqrt (/ 1 (+ 2 (* 2 x))))) (+ (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (* (pow B 4) (+ 7/360 (* 31/15120 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* -1/2 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))))))))) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x)))))) x) |
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(+ (* x (- (+ (* -1 (* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (+ (* -1 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F)))) (* 2/945 (pow B 2)))))))) 1)) (+ (* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (+ 2 (pow F 2))))) (* (* (pow B 4) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F))) (sqrt (/ 1 (+ 2 (pow F 2))))))) |
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(+ (* x (- (+ (* -1 (* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* x (+ (* 3/2 (* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))) (+ (* 3/2 (* (* (pow B 4) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))) (* x (+ (* -5/2 (* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* -5/2 (* (* (pow B 4) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7)))))))))) (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (+ (* -1 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F)))) (* 2/945 (pow B 2))))))))) 1)) (+ (* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (+ 2 (pow F 2))))) (* (* (pow B 4) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F))) (sqrt (/ 1 (+ 2 (pow F 2))))))) |
(* x (- (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (* 2/945 (pow B 2)))))) 1)) |
(* x (- (+ (* (* F (* (sqrt 1/2) (+ 1 (* 1/6 (pow B 2))))) (sqrt (/ 1 (pow x 3)))) (+ (* (* (pow B 4) (* (sqrt 1/2) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F)))) (sqrt (/ 1 (pow x 3)))) (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (* 2/945 (pow B 2)))))))) 1)) |
(* x (- (+ (* -1/8 (* (/ (* F (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (pow F 2)))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* -1/8 (* (/ (* (pow B 4) (* (+ 2 (pow F 2)) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F)))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* (* F (* (sqrt 1/2) (+ 1 (* 1/6 (pow B 2))))) (sqrt (/ 1 (pow x 3)))) (+ (* (* (pow B 4) (* (sqrt 1/2) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F)))) (sqrt (/ 1 (pow x 3)))) (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (* 2/945 (pow B 2)))))))))) 1)) |
(* x (- (+ (* -1/8 (* (/ (* F (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (pow F 2)))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* -1/8 (* (/ (* (pow B 4) (* (+ 2 (pow F 2)) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F)))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (* (+ 1 (* 1/6 (pow B 2))) (pow (+ 2 (pow F 2)) 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (+ (* 1/16 (* (/ (* (pow B 4) (* (pow (+ 2 (pow F 2)) 2) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F)))) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (+ (* (* F (* (sqrt 1/2) (+ 1 (* 1/6 (pow B 2))))) (sqrt (/ 1 (pow x 3)))) (+ (* (* (pow B 4) (* (sqrt 1/2) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F)))) (sqrt (/ 1 (pow x 3)))) (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (* 2/945 (pow B 2)))))))))))) 1)) |
(* -1 (* x (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ (* (* F (* (sqrt -1) (* (sqrt -1/2) (+ 1 (* 1/6 (pow B 2)))))) (sqrt (/ 1 x))) (* (* (pow B 4) (* (sqrt -1) (* (sqrt -1/2) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F))))) (sqrt (/ 1 x)))) x)) (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3)))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (pow F 2))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* -1/8 (* (/ (* (pow B 4) (* (sqrt -1) (* (+ 2 (pow F 2)) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* (* F (* (sqrt -1) (* (sqrt -1/2) (+ 1 (* 1/6 (pow B 2)))))) (sqrt (/ 1 x))) (* (* (pow B 4) (* (sqrt -1) (* (sqrt -1/2) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F))))) (sqrt (/ 1 x)))))) x)) (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3)))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (* (+ 1 (* 1/6 (pow B 2))) (pow (+ 2 (pow F 2)) 2)))) (sqrt -1/2)) (sqrt x))) (* -1/16 (* (/ (* (pow B 4) (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F))))) (sqrt -1/2)) (sqrt x)))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (pow F 2))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* -1/8 (* (/ (* (pow B 4) (* (sqrt -1) (* (+ 2 (pow F 2)) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* (* F (* (sqrt -1) (* (sqrt -1/2) (+ 1 (* 1/6 (pow B 2)))))) (sqrt (/ 1 x))) (* (* (pow B 4) (* (sqrt -1) (* (sqrt -1/2) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F))))) (sqrt (/ 1 x))))))) x)) (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3)))))) |
(sqrt (/ 1 (+ 2 (* 2 x)))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(/ 1 F) |
(/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F) |
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F) |
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F) |
(/ -1 F) |
(* -1 (/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F)) |
(sqrt (/ 1 (+ 2 (pow F 2)))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* -1 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* 3/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* x (+ (* -5/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) |
(* (sqrt (/ 1 x)) (sqrt 1/2)) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))) (sqrt 1/2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))))) |
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))) |
(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (sqrt -1/2))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
(/ 1 (sin B)) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) |
(/ -1 (sin B)) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (/ 1 (sin B))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (/ 1 (sin B))) |
(* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B) |
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* -1 (* (* (pow B 2) (+ (* -1/36 F) (* 1/120 F))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))) B) |
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (* -1 (* (* (pow B 2) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F)))))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) B) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* -1 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))))) |
(+ (* -1/2 (* (/ (* F (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))))) |
(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
(/ 1 (sin B)) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) |
(/ -1 (sin B)) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (/ 1 (sin B))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (/ 1 (sin B))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* -1 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))))) |
(+ (* -1/2 (* (/ (* F (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))))) |
(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B) |
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* -1 (* (* (pow B 2) (+ (* -1/36 F) (* 1/120 F))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))) B) |
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (* -1 (* (* (pow B 2) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F)))))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) B) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* F (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))) |
(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
1 |
(+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) |
-1 |
(- (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) 1) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4)))) 1) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6))))) 1) |
(* F (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* -1 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* F (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))))) |
(* (* F (sqrt 1/2)) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x))))) |
(+ (* -1/2 (* (/ (* F (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x)))))) |
(* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (sqrt -1/2)) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))) |
| Outputs |
|---|
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* -1 (/ (cos B) (sin B))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(fma.f64 x (neg.f64 (fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 (cos.f64 B) (sin.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* -1 (/ (cos B) (sin B))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(fma.f64 x (fma.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 F (/.f64 x (sin.f64 B)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 5 binary64)))) (neg.f64 (fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 (cos.f64 B) (sin.f64 B))))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* -1 (/ (cos B) (sin B))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 F (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (*.f64 F x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 7 binary64))))) (sin.f64 B))) (neg.f64 (fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 (cos.f64 B) (sin.f64 B))))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B)))) |
(*.f64 x (-.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (sin.f64 B)) (/.f64 (cos.f64 B) (sin.f64 B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))) |
(*.f64 x (-.f64 (fma.f64 (/.f64 (*.f64 F (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 F (fma.f64 F F #s(literal 2 binary64)))) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (/.f64 (cos.f64 B) (sin.f64 B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))) (/ (cos B) (sin B)))) |
(*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 F (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 F (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal 1/2 binary64)))) (-.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (sin.f64 B)) (/.f64 (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 (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (cos.f64 B) (sin.f64 B))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B))))) |
(neg.f64 (*.f64 x (-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 F (*.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal -1/2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sin.f64 B))) x)))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B))))) |
(*.f64 (-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 F (*.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 F (*.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal -1/2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sin.f64 B)))) x)) (neg.f64 x)) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))))) |
(-.f64 (*.f64 F (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B)))) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(fma.f64 F (fma.f64 (*.f64 F F) (fma.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64))))) (sin.f64 B)) (*.f64 (/.f64 #s(literal -1/2 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B)))) |
(-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (sin.f64 B) (*.f64 F F))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B))))) |
(fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (sin.f64 B) (*.f64 F F))) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -3/4 binary64)) (*.f64 (sin.f64 B) (pow.f64 F #s(literal 4 binary64))))) (fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B)))))) |
(-.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (sin.f64 B) (*.f64 F F))) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -3/4 binary64)) (*.f64 (sin.f64 B) (pow.f64 F #s(literal 4 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -3/4 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (*.f64 (sin.f64 B) (pow.f64 F #s(literal 6 binary64)))) (/.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))) |
(fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(- (+ (* -1 (/ (* x (cos B)) (sin B))) (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B))))) (/ 1 (sin B))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (*.f64 (sin.f64 B) (*.f64 F F))) (fma.f64 x (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(- (+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))))) (/ 1 (sin B))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -3/4 binary64)) (*.f64 (sin.f64 B) (pow.f64 F #s(literal 4 binary64)))) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (sin.f64 B) (*.f64 F F)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(- (+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B))))))) (/ 1 (sin B))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (sin.f64 B) (*.f64 F F))) (+.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -3/4 binary64)) (*.f64 (sin.f64 B) (pow.f64 F #s(literal 4 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -3/4 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (*.f64 (sin.f64 B) (pow.f64 F #s(literal 6 binary64))))))) (fma.f64 x (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(/ (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B) |
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) (neg.f64 x)) B) |
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x))))) B) |
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(* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) |
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(/ 1 (* F (sin B))) |
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(/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) F) |
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(/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) F) |
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(sqrt (/ 1 (+ 2 (* 2 x)))) |
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(/ 1 F) |
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(/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F) |
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(* (sqrt (/ 1 x)) (sqrt 1/2)) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))) |
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) |
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(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))) |
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(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (sqrt -1/2))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))) |
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(sqrt (/ 1 (+ 2 (* 2 x)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))) |
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(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(fma.f64 (*.f64 F F) (fma.f64 (*.f64 F F) (fma.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 7 binary64)))) (*.f64 #s(literal 3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(/ 1 F) |
(/.f64 #s(literal 1 binary64) F) |
(/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1 binary64)) F) |
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -3/4 binary64)) (pow.f64 F #s(literal 4 binary64)))) #s(literal 1 binary64)) F) |
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F) |
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(/ -1 F) |
(/.f64 #s(literal -1 binary64) F) |
(* -1 (/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1 binary64)) (neg.f64 F)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F)) |
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(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F)) |
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(* (sqrt (/ 1 (+ 2 (pow F 2)))) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (*.f64 F (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)))) |
(+ (* x (+ 1/45 (+ (* -1 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F)))) (* 2/945 (pow B 2))))) (* (sqrt (/ 1 (+ 2 (pow F 2)))) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F)))) |
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(+ (* x (+ 1/45 (+ (* -1 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F)))) (+ (* 2/945 (pow B 2)) (* 3/2 (* (* x (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (sqrt (/ 1 (+ 2 (pow F 2)))) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F)))) |
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(+ (* x (+ 1/45 (+ (* -1 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F)))) (+ (* 2/945 (pow B 2)) (* x (+ (* -5/2 (* (* x (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F)))))))))) (* (sqrt (/ 1 (+ 2 (pow F 2)))) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F)))) |
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(* x (+ 1/45 (* 2/945 (pow B 2)))) |
(*.f64 x (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64))) |
(* x (+ 1/45 (+ (* 2/945 (pow B 2)) (* (sqrt (/ 1 (pow x 3))) (* (sqrt 1/2) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F))))))) |
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(* x (+ 1/45 (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (+ 2 (pow F 2)) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F))) (sqrt 1/2)))) (+ (* 2/945 (pow B 2)) (* (sqrt (/ 1 (pow x 3))) (* (sqrt 1/2) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F)))))))) |
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(* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F))))) |
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(* (* F (+ 7/360 (* 31/15120 (pow B 2)))) (sqrt (/ 1 (+ 2 (* 2 x))))) |
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(* F (+ (* -1/2 (* (* (pow F 2) (+ 7/360 (* 31/15120 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (+ 7/360 (* 31/15120 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
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(* F (+ (* (+ 7/360 (* 31/15120 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (+ 7/360 (* 31/15120 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (* (pow F 2) (+ 7/360 (* 31/15120 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
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(* F (+ (* (+ 7/360 (* 31/15120 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (+ 7/360 (* 31/15120 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (* (pow F 2) (+ 7/360 (* 31/15120 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (+ 7/360 (* 31/15120 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
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(+ 7/360 (* 31/15120 (pow B 2))) |
(fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) |
(+ 7/360 (+ (* -1/2 (/ (* (+ 7/360 (* 31/15120 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (* 31/15120 (pow B 2)))) |
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(- (* -31/15120 (pow B 2)) 7/360) |
(fma.f64 (*.f64 B B) #s(literal -31/15120 binary64) #s(literal -7/360 binary64)) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -31/15120 (pow B 2)) 7/360)) (pow F 2))) (* -31/15120 (pow B 2))) 7/360) |
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(/ 1 F) |
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(* (sqrt (/ 1 x)) (sqrt 1/2)) |
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(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) |
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(* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) (/.f64 F B)) |
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 F (*.f64 B B)) F)) B) |
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* -1 (* (* (pow B 2) (+ (* -1/36 F) (* 1/120 F))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))) B) |
(/.f64 (fma.f64 (*.f64 B B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) (fma.f64 #s(literal 1/6 binary64) F (neg.f64 (*.f64 (*.f64 B B) (*.f64 F #s(literal -7/360 binary64)))))) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))))) B) |
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (* -1 (* (* (pow B 2) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F)))))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) (fma.f64 F #s(literal -7/360 binary64) (*.f64 (*.f64 B B) (fma.f64 F #s(literal 1/840 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 F #s(literal -7/360 binary64)))))))) (*.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))))) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))))) B) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
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(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
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(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))))) |
(* F (sqrt (/ 1 (+ 2 (* 2 x))))) |
(*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))) |
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(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
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(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(*.f64 F (fma.f64 (*.f64 F F) (fma.f64 (*.f64 F F) (fma.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 7 binary64)))) (*.f64 #s(literal 3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) |
(fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -3/4 binary64)) (pow.f64 F #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) |
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-1 |
#s(literal -1 binary64) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) 1) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) #s(literal -1 binary64)) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4)))) 1) |
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -3/4 binary64)) (pow.f64 F #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6))))) 1) |
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(* F (sqrt (/ 1 (+ 2 (pow F 2))))) |
(*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) |
(+ (* -1 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* F (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(-.f64 (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))))) (*.f64 F x))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) |
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(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))))) |
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(* (* F (sqrt 1/2)) (sqrt (/ 1 x))) |
(*.f64 (*.f64 F (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x)))) |
(fma.f64 F (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 F (fma.f64 F F #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x))))) |
(fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 F (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 F (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 F (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(+ (* -1/2 (* (/ (* F (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x)))))) |
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(* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))) |
(*.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))) |
(fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 F (*.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))) |
(fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 F (*.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (sqrt.f64 #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 F (*.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (sqrt -1/2)) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))) |
(-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 F (*.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 x (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (*.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))) #s(literal 1/16 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 x) (*.f64 F (/.f64 (*.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))))))) (*.f64 x (*.f64 x x)))) |
| 5 286× | lower-fma.f32 |
| 5 262× | lower-fma.f64 |
| 4 832× | lower-*.f32 |
| 4 810× | lower-*.f64 |
| 3 018× | lower-pow.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 490 |
| 0 | 124 | 469 |
| 1 | 508 | 438 |
| 2 | 4014 | 438 |
| 0 | 8085 | 438 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) |
(pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B)) |
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B) |
(fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) |
(fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) |
(fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64))) |
(neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) |
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B))) |
(/.f64 (neg.f64 x) (tan.f64 B)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) |
#s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)) |
(*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))) |
(/.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B)) |
(*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
| Outputs |
|---|
(+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) |
(+.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) |
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 x (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (+.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B)))) (/.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (+.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))) (/.f64 (/.f64 (*.f64 (*.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))))) |
(-.f64 (+.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(literal 0 binary64)) (/.f64 x (tan.f64 B))) |
(fma.f64 x (/.f64 #s(literal -1 binary64) (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) |
(fma.f64 F (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (/.f64 F (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) |
(fma.f64 (/.f64 x (tan.f64 B)) #s(literal -1 binary64) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) |
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 #s(literal -1 binary64) (/.f64 x (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) |
(fma.f64 (neg.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 B))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (/.f64 F (sin.f64 B))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) |
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) |
(fma.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (cos.f64 B) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) (/.f64 (*.f64 (*.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 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 (neg.f64 x) (tan.f64 B)) #s(literal 3 binary64)) (pow.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (+.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)))) (+.f64 (pow.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(literal 3 binary64)) (pow.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (-.f64 (/.f64 (*.f64 (*.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 (*.f64 (*.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 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 (neg.f64 x) (tan.f64 B)) #s(literal 3 binary64)) (pow.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) (/.f64 (*.f64 (*.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))))) |
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(pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 F (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 x (*.f64 #s(literal 2/945 binary64) B)) (/.f64 (fma.f64 B (*.f64 B (*.f64 F #s(literal 31/15120 binary64))) (*.f64 F #s(literal 7/360 binary64))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (*.f64 (*.f64 F (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64))) (*.f64 F (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64))))) (pow.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 x (*.f64 #s(literal 2/945 binary64) B)) (/.f64 (fma.f64 B (*.f64 B (*.f64 F #s(literal 31/15120 binary64))) (*.f64 F #s(literal 7/360 binary64))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (*.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (*.f64 (fma.f64 B (*.f64 B #s(literal 1/6 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)))) (pow.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 x (*.f64 #s(literal 2/945 binary64) B)) (/.f64 (fma.f64 B (*.f64 B (*.f64 F #s(literal 31/15120 binary64))) (*.f64 F #s(literal 7/360 binary64))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 x (*.f64 #s(literal 2/945 binary64) B)) (/.f64 (fma.f64 B (*.f64 B (*.f64 F #s(literal 31/15120 binary64))) (*.f64 F #s(literal 7/360 binary64))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) (-.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 x (*.f64 #s(literal 2/945 binary64) B)) (/.f64 (fma.f64 B (*.f64 B (*.f64 F #s(literal 31/15120 binary64))) (*.f64 F #s(literal 7/360 binary64))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) (/.f64 (*.f64 F (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (*.f64 (*.f64 F (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64))) (*.f64 F (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)))))))) |
(*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (*.f64 (*.f64 F (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64))) (*.f64 F (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64))))) (pow.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 x (*.f64 #s(literal 2/945 binary64) B)) (/.f64 (fma.f64 B (*.f64 B (*.f64 F #s(literal 31/15120 binary64))) (*.f64 F #s(literal 7/360 binary64))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 F (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 x (*.f64 #s(literal 2/945 binary64) B)) (/.f64 (fma.f64 B (*.f64 B (*.f64 F #s(literal 31/15120 binary64))) (*.f64 F #s(literal 7/360 binary64))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))))) |
#s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) (*.f64 F #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))))) |
(/.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)) (/.f64 (sin.f64 B) F)) |
(/.f64 (*.f64 F #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))) (sin.f64 B)) |
(/.f64 (neg.f64 (*.f64 F #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) (neg.f64 (sin.f64 B))) |
(/.f64 (*.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)) #s(literal 1 binary64)) (/.f64 (sin.f64 B) F)) |
(/.f64 (*.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 F)) (neg.f64 (sin.f64 B))) |
(/.f64 (*.f64 #s(literal 1 binary64) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))) (/.f64 (sin.f64 B) F)) |
(/.f64 (*.f64 (neg.f64 F) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))) (neg.f64 (sin.f64 B))) |
(pow.f64 (/.f64 (sin.f64 B) (*.f64 F #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) #s(literal -1 binary64)) |
(*.f64 F (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) |
(*.f64 F (/.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)) (sin.f64 B))) |
(*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))) |
(*.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)) (/.f64 F (sin.f64 B))) |
(*.f64 (*.f64 F #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) F)) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 (sin.f64 B)))) |
(neg.f64 (/.f64 (neg.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (sin.f64 B))) |
(/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) F)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) F) #s(literal 1 binary64))) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (/.f64 (sin.f64 B) F)) |
(/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) F))) |
(/.f64 (neg.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (neg.f64 (sin.f64 B))) |
(/.f64 (*.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(literal 1 binary64)) (sin.f64 B)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) (neg.f64 (neg.f64 (sin.f64 B)))) |
(/.f64 (*.f64 #s(literal 1 binary64) F) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) |
(pow.f64 (/.f64 (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) F) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) F) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (/.f64 (sin.f64 B) F)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(*.f64 F (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) F) |
(*.f64 #s(literal 1 binary64) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (/.f64 F (sin.f64 B))) |
(*.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) |
(*.f64 (neg.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 B)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (/.f64 F (sin.f64 B)))) |
(*.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64))) |
(/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) |
(*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) F) |
(*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) F)) |
(*.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64))) |
Compiled 91 591 to 5 645 computations (93.8% saved)
50 alts after pruning (50 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 852 | 46 | 1 898 |
| Fresh | 13 | 4 | 17 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 870 | 50 | 1 920 |
| Status | Accuracy | Program |
|---|---|---|
| 56.0% | (fma.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal -1 binary64) F)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 83.5% | (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 45.5% | (fma.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)) (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 83.4% | (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) | |
| ▶ | 71.9% | (fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
| 49.4% | (fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 F (sin.f64 B)))) F (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 55.9% | (fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 F (sin.f64 B)))) F (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 47.4% | (/.f64 (fma.f64 (*.f64 F #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))) (neg.f64 (/.f64 (tan.f64 B) x)) (*.f64 (sin.f64 B) #s(literal 1 binary64))) (*.f64 (sin.f64 B) (neg.f64 (/.f64 (tan.f64 B) x)))) | |
| ▶ | 83.5% | (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) |
| 53.8% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(approx (* F (pow (+ (* 2 x) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) (sin.f64 B))) | |
| 57.4% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(approx (* F (pow (+ (* 2 x) (+ (* F F) 2)) -1/2)) #s(literal -1 binary64)) (sin.f64 B))) | |
| 65.4% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (/.f64 F B)))) | |
| 21.3% | (+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal -1/3 binary64) #s(literal 1 binary64)) B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) | |
| 58.6% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B))) | |
| 25.4% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) | |
| 21.4% | (+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) | |
| 47.2% | #s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) (*.f64 x #s(literal 1/3 binary64))) (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) (neg.f64 x))) B)) | |
| 55.9% | #s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))) | |
| 28.6% | #s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) | |
| 46.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(approx (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360))))) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B)) | |
| 32.4% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (*.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (neg.f64 (*.f64 x x))) (*.f64 B (+.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x)))) | |
| 46.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 7/360 binary64) (*.f64 F #s(literal 1/6 binary64))) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x))) B)) | |
| 46.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) F) F) (-.f64 (*.f64 (*.f64 x (*.f64 B B)) #s(literal 1/3 binary64)) x)) B)) | |
| 31.1% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (fma.f64 (*.f64 F F) (+.f64 (/.f64 (*.f64 F F) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) | |
| 14.1% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) x) (*.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/4 binary64))) (neg.f64 x)) #s(literal -1/2 binary64)) (neg.f64 x)))) (neg.f64 x)) B)) | |
| 32.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 x)) B)) | |
| 17.3% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) B)) | |
| ▶ | 29.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) |
| 28.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B)) | |
| 30.8% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B)) | |
| 17.3% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x)) B)) | |
| 34.8% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (fma.f64 (*.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (neg.f64 (*.f64 x x))) (+.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x)) B)) | |
| ▶ | 47.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B)) |
| 34.8% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (fma.f64 (*.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (neg.f64 (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x))) B)) | |
| 30.0% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (fma.f64 (*.f64 B B) #s(literal -31/15120 binary64) #s(literal -7/360 binary64))) (*.f64 x #s(literal 1/3 binary64))) (-.f64 (neg.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) B)) | |
| 27.3% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (-.f64 (fma.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 B B) (+.f64 (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64)) x)) B)) | |
| 30.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (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)) | |
| 21.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal -1 binary64) x))) B)) | |
| 23.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B)) | |
| 28.3% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)) | |
| 30.8% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) | |
| 18.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B)) | |
| ▶ | 31.1% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)) |
| 47.0% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x)) #s(literal -1 binary64)))) | |
| 47.0% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x))) | |
| 29.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B)))) | |
| 28.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 F (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) B)) (neg.f64 (/.f64 x B))))) | |
| 20.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) | |
| 31.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F B)) (/.f64 x B)))) | |
| 17.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
Compiled 2 460 to 1 364 computations (44.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B) | |
| cost-diff | 0 | #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B)) | |
| cost-diff | 0 | (fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) | |
| cost-diff | 128 | (*.f64 #s(literal 2 binary64) x) | |
| cost-diff | 192 | (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) | |
| cost-diff | 192 | (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) | |
| cost-diff | 192 | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) | |
| cost-diff | 320 | (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) | |
| cost-diff | 0 | (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) | |
| cost-diff | 0 | (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B) | |
| cost-diff | 0 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B) | |
| cost-diff | 0 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)) | |
| cost-diff | 0 | (sin.f64 B) | |
| cost-diff | 0 | (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) | |
| cost-diff | 0 | (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) | |
| cost-diff | 0 | (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) |
| 13 400× | lower-fma.f32 |
| 13 386× | lower-fma.f64 |
| 2 994× | lower-*.f32 |
| 2 982× | lower-*.f64 |
| 2 574× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 726 |
| 0 | 111 | 635 |
| 1 | 178 | 626 |
| 2 | 301 | 626 |
| 3 | 612 | 619 |
| 4 | 1534 | 611 |
| 5 | 4189 | 611 |
| 6 | 5127 | 611 |
| 7 | 6335 | 611 |
| 0 | 8312 | 609 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) |
(/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) |
F |
(*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) |
(sin.f64 B) |
B |
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) |
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) |
#s(literal 2 binary64) |
x |
(fma.f64 F F #s(literal 2 binary64)) |
(/.f64 x (tan.f64 B)) |
(tan.f64 B) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)) |
(/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B) |
#s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) |
(neg.f64 x) |
x |
B |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B)) |
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B) |
(-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) |
(/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) |
F |
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) |
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) |
#s(literal 2 binary64) |
x |
(fma.f64 F F #s(literal 2 binary64)) |
B |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) |
(/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B) |
(fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) |
F |
#s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
#s(literal -1/2 binary64) |
(*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) |
(*.f64 F F) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
x |
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) |
(neg.f64 x) |
B |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
#s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B)) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))) |
#s(literal 2 binary64) |
(fma.f64 F F (*.f64 #s(literal 2 binary64) x)) |
F |
(*.f64 #s(literal 2 binary64) x) |
x |
B |
(/.f64 (neg.f64 x) (tan.f64 B)) |
(neg.f64 x) |
(tan.f64 B) |
| Outputs |
|---|
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (+.f64 #s(literal 2 binary64) (+.f64 x x)))))) (/.f64 x (tan.f64 B))) |
(/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) |
(/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (+.f64 #s(literal 2 binary64) (+.f64 x x)))))) |
F |
(*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) |
(*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (+.f64 #s(literal 2 binary64) (+.f64 x x))))) |
(sin.f64 B) |
B |
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) |
(sqrt.f64 (fma.f64 F F (+.f64 #s(literal 2 binary64) (+.f64 x x)))) |
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) |
(fma.f64 F F (+.f64 #s(literal 2 binary64) (+.f64 x x))) |
#s(literal 2 binary64) |
x |
(fma.f64 F F #s(literal 2 binary64)) |
(/.f64 x (tan.f64 B)) |
(tan.f64 B) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)) |
(/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B) |
#s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) |
(neg.f64 x) |
x |
B |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (+.f64 #s(literal 2 binary64) (+.f64 x x))))) x) B)) |
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B) |
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (+.f64 #s(literal 2 binary64) (+.f64 x x))))) x) B) |
(-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) |
(-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (+.f64 #s(literal 2 binary64) (+.f64 x x))))) x) |
(/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) |
(/.f64 F (sqrt.f64 (fma.f64 F F (+.f64 #s(literal 2 binary64) (+.f64 x x))))) |
F |
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) |
(sqrt.f64 (fma.f64 F F (+.f64 #s(literal 2 binary64) (+.f64 x x)))) |
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) |
(fma.f64 F F (+.f64 #s(literal 2 binary64) (+.f64 x x))) |
#s(literal 2 binary64) |
x |
(fma.f64 F F #s(literal 2 binary64)) |
B |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))))) (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 x #s(literal 1 binary64)))))) (neg.f64 x)) B)) |
(/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B) |
(/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))))) (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 x #s(literal 1 binary64)))))) (neg.f64 x)) B) |
(fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) |
(fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))))) (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 x #s(literal 1 binary64)))))) (neg.f64 x)) |
F |
#s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) |
#s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))))) (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 x #s(literal 1 binary64)))))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))))) (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 x #s(literal 1 binary64))))) |
#s(literal -1/2 binary64) |
(*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) |
(*.f64 F (*.f64 F (sqrt.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))))))) |
(*.f64 F F) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) |
(sqrt.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) |
(*.f64 (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (fma.f64 x #s(literal 8 binary64) #s(literal 8 binary64))) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(+.f64 #s(literal 2 binary64) (+.f64 x x)) |
#s(literal 2 binary64) |
x |
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) |
(fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 8 binary64)) #s(literal 4 binary64)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) |
(sqrt.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) |
(/.f64 #s(literal 1/2 binary64) (+.f64 x #s(literal 1 binary64))) |
(neg.f64 x) |
B |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (+.f64 #s(literal 2 binary64) (+.f64 x x))))) B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
#s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B)) |
#s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (+.f64 #s(literal 2 binary64) (+.f64 x x))))) B)) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (+.f64 #s(literal 2 binary64) (+.f64 x x))))) B) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (+.f64 #s(literal 2 binary64) (+.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 F F (+.f64 #s(literal 2 binary64) (+.f64 x x)))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))) |
(fma.f64 F F (+.f64 #s(literal 2 binary64) (+.f64 x x))) |
#s(literal 2 binary64) |
(fma.f64 F F (*.f64 #s(literal 2 binary64) x)) |
(+.f64 (fma.f64 F F x) x) |
F |
(*.f64 #s(literal 2 binary64) x) |
(+.f64 x x) |
x |
B |
(/.f64 (neg.f64 x) (tan.f64 B)) |
(neg.f64 x) |
(tan.f64 B) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.265625 | (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B) | |
| accuracy | 0.5028130813924622 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) | |
| accuracy | 13.421524754194621 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) | |
| accuracy | 23.73136758803038 | #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B)) | |
| accuracy | 3.917592656753551 | (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) | |
| accuracy | 6.608712122534679 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) | |
| accuracy | 23.969580230000574 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) | |
| accuracy | 26.42343492761304 | #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) | |
| accuracy | 0.02734375 | (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B) | |
| accuracy | 0.16796875 | (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) | |
| accuracy | 14.019441813983917 | (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) | |
| accuracy | 23.969580230000574 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.02734375 | (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B) | |
| accuracy | 23.969580230000574 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)) | |
| accuracy | 27.938460405060873 | #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) | |
| accuracy | 0.11328125 | (/.f64 x (tan.f64 B)) | |
| accuracy | 0.1953125 | (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) | |
| accuracy | 0.21484375 | (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) | |
| accuracy | 14.019441813983917 | (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) |
| 201.0ms | 229× | 0 | valid |
| 26.0ms | 27× | 0 | invalid |
Compiled 588 to 60 computations (89.8% saved)
ival-mult: 108.0ms (55.8% of total)ival-div: 26.0ms (13.4% of total)ival-pow: 24.0ms (12.4% of total)ival-add: 12.0ms (6.2% of total)ival-sqrt: 8.0ms (4.1% of total)ival-sin: 6.0ms (3.1% of total)ival-tan: 5.0ms (2.6% of total)ival-neg: 3.0ms (1.5% of total)ival-sub: 2.0ms (1% 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 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) #<representation binary64>) () ()) |
#s(alt (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (patch (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (patch (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #<representation binary64>) () ()) |
#s(alt (sin.f64 B) (patch (sin.f64 B) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)) (patch #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B) (patch (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) (patch #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B)) (patch #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B) (patch (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) (patch (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) #<representation binary64>) () ()) |
#s(alt (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (patch (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (patch (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (patch (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B)) (patch #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B)) #<representation binary64>) () ()) |
#s(alt (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B) (patch (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (patch (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 x (tan.f64 B)) (patch (/.f64 x (tan.f64 B)) #<representation binary64>) () ()) |
#s(alt #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (patch #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) (patch #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (patch (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor 0 F) (#s(alt (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B))) (taylor 0 F) (#s(alt (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (- (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) (/ (* x (cos B)) (sin B))) (taylor 0 F) (#s(alt (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (- (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) (/ (* x (cos B)) (sin B))) (taylor 0 F) (#s(alt (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) (taylor inf F) (#s(alt (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) (/ (* x (cos B)) (sin B))) (taylor inf F) (#s(alt (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) (/ (* x (cos B)) (sin B))) (taylor inf F) (#s(alt (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) (/ (* x (cos B)) (sin B))) (taylor inf F) (#s(alt (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* x (- (* 4 (/ x (pow (+ 2 (pow F 2)) 3))) (* 2 (/ 1 (pow (+ 2 (pow F 2)) 2))))) (/ 1 (+ 2 (pow F 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (- (* x (+ (* -8 (/ x (pow (+ 2 (pow F 2)) 4))) (* 4 (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 2 (/ 1 (pow (+ 2 (pow F 2)) 2))))) (/ 1 (+ 2 (pow F 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/2 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/2 (* -1/4 (/ (+ 2 (pow F 2)) x))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1/2 (* 1/8 (/ (pow (+ 2 (pow F 2)) 2) (pow x 2)))) (* 1/4 (/ (+ 2 (pow F 2)) x))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1/2 (* -1/16 (/ (pow (+ 2 (pow F 2)) 3) (pow x 3)))) (+ (* -1/8 (/ (pow (+ 2 (pow F 2)) 2) (pow x 2))) (* 1/4 (/ (+ 2 (pow F 2)) x)))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* 1/4 (/ (+ 2 (pow F 2)) x)) 1/2) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (+ 2 (pow F 2)) 2) x)) (* 1/4 (+ 2 (pow F 2)))) x)) 1/2) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow (+ 2 (pow F 2)) 3) x)) (* 1/8 (pow (+ 2 (pow F 2)) 2))) x)) (* 1/4 (+ 2 (pow F 2)))) x)) 1/2) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ())) ()) |
177 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | inf | (* (* F F) (sqrt (/ 1 (* (+ (* 2 x) 2) (* (+ (* 2 x) 2) (+ (* 2 x) 2)))))) |
| 3.0ms | x | @ | 0 | (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) |
| 1.0ms | F | @ | 0 | (* (* F F) (sqrt (/ 1 (* (+ (* 2 x) 2) (* (+ (* 2 x) 2) (+ (* 2 x) 2)))))) |
| 1.0ms | x | @ | -inf | (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) |
| 1.0ms | x | @ | inf | (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) |
| 1× | egg-herbie |
| 7 692× | lower-*.f64 |
| 7 692× | lower-*.f32 |
| 7 682× | lower-fma.f64 |
| 7 682× | lower-fma.f32 |
| 5 246× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1516 | 21275 |
| 1 | 4809 | 20878 |
| 0 | 8545 | 19228 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B))) |
(- (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) (/ (* x (cos B)) (sin B))) |
(- (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) (/ (* x (cos B)) (sin B))) |
(* -1 (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* x (- (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))) (/ (cos B) (sin B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
(/ 1 (sin B)) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) |
(/ -1 (sin B)) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (/ 1 (sin B))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (/ 1 (sin B))) |
(* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B) |
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* -1 (* (* (pow B 2) (+ (* -1/36 F) (* 1/120 F))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))) B) |
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (* -1 (* (* (pow B 2) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F)))))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) B) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* -1 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))))) |
(+ (* -1/2 (* (/ (* F (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))))) |
(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(* B (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) |
(* B (+ (sqrt (+ 2 (+ (* 2 x) (pow F 2)))) (* -1/6 (* (pow B 2) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))))) |
(* B (+ (sqrt (+ 2 (+ (* 2 x) (pow F 2)))) (* (pow B 2) (+ (* -1/6 (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) (* 1/120 (* (pow B 2) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))))))) |
(* B (+ (sqrt (+ 2 (+ (* 2 x) (pow F 2)))) (* (pow B 2) (+ (* -1/6 (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) (* (pow B 2) (+ (* -1/5040 (* (pow B 2) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))) (* 1/120 (sqrt (+ 2 (+ (* 2 x) (pow F 2))))))))))) |
(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) |
(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) |
(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) |
(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) |
(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) |
(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) |
(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) |
(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) |
(* (sin B) (sqrt (+ 2 (pow F 2)))) |
(+ (* (sin B) (sqrt (+ 2 (pow F 2)))) (* (* x (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1/2 (* (* x (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt (/ 1 (+ 2 (pow F 2))))))) (* (sin B) (sqrt (+ 2 (pow F 2))))) |
(+ (* x (+ (* x (+ (* -1/2 (* (sin B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 1/2 (* (* x (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (sin B) (sqrt (/ 1 (+ 2 (pow F 2))))))) (* (sin B) (sqrt (+ 2 (pow F 2))))) |
(* (sqrt x) (* (sin B) (sqrt 2))) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (+ 2 (pow F 2))) (sqrt 2)))) (* (sqrt (/ 1 x)) (* (sin B) (sqrt 2))))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sin B) (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (+ 2 (pow F 2))) (sqrt 2)))) (* (sqrt (/ 1 x)) (* (sin B) (sqrt 2)))))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sin B) (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (* (sin B) (pow (+ 2 (pow F 2)) 3)) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (+ 2 (pow F 2))) (sqrt 2)))) (* (sqrt (/ 1 x)) (* (sin B) (sqrt 2))))))) |
(* -1 (* (sqrt x) (* (sin B) (* (sqrt -2) (sqrt -1))))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sin B) (* (sqrt -2) (sqrt -1))))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sin B) (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sin B) (* (sqrt -2) (sqrt -1)))))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sin B) (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (* (sin B) (* (sqrt -1) (pow (+ 2 (pow F 2)) 3))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sin B) (* (sqrt -2) (sqrt -1))))))))) |
(* (sin B) (sqrt (+ 2 (* 2 x)))) |
(+ (* 1/2 (* (* (pow F 2) (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))) (* (sin B) (sqrt (+ 2 (* 2 x))))) |
(+ (* (sin B) (sqrt (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/8 (* (* (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 1/2 (* (sin B) (sqrt (/ 1 (+ 2 (* 2 x))))))))) |
(+ (* (sin B) (sqrt (+ 2 (* 2 x)))) (* (pow F 2) (+ (* 1/2 (* (sin B) (sqrt (/ 1 (+ 2 (* 2 x)))))) (* (pow F 2) (+ (* -1/8 (* (sin B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 1/16 (* (* (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(* F (sin B)) |
(* F (+ (sin B) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2))))) |
(* F (+ (sin B) (+ (* -1/8 (/ (* (sin B) (pow (+ 2 (* 2 x)) 2)) (pow F 4))) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2)))))) |
(* F (+ (sin B) (+ (* -1/8 (/ (* (sin B) (pow (+ 2 (* 2 x)) 2)) (pow F 4))) (+ (* 1/16 (/ (* (sin B) (pow (+ 2 (* 2 x)) 3)) (pow F 6))) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2))))))) |
(* -1 (* F (sin B))) |
(* -1 (* F (+ (sin B) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2)))))) |
(* -1 (* F (+ (sin B) (+ (* -1/8 (/ (* (sin B) (pow (+ 2 (* 2 x)) 2)) (pow F 4))) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2))))))) |
(* -1 (* F (+ (sin B) (+ (* -1/8 (/ (* (sin B) (pow (+ 2 (* 2 x)) 2)) (pow F 4))) (+ (* 1/16 (/ (* (sin B) (pow (+ 2 (* 2 x)) 3)) (pow F 6))) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2)))))))) |
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) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* x (- (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))) (/ (cos B) (sin B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B))))) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B))) |
(- (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) (/ (* x (cos B)) (sin B))) |
(- (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) (/ (* x (cos B)) (sin B))) |
(* -1 (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(* -1 (/ x B)) |
(+ (* -1 (/ x B)) (* (/ F B) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(+ (* -1 (/ x B)) (* F (+ (* -1/2 (* (/ (pow F 2) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x)))))))) |
(+ (* -1 (/ x B)) (* F (+ (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(/ (- 1 x) B) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (/ 1 B)) (/ x B)) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (/ 1 B))) (/ x B)) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* B (pow F 6)))) (/ 1 B)))) (/ x B)) |
(* -1 (/ (+ 1 x) B)) |
(+ (* -1 (/ (+ 1 x) B)) (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2))))) |
(+ (* -1 (/ (+ 1 x) B)) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))))) |
(+ (* -1 (/ (+ 1 x) B)) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* B (pow F 6))))))) |
(* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* x (- (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* -1 (/ x B)) |
(* x (- (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3)))) (/ 1 B))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3))))) (/ 1 B))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3)))))) (/ 1 B))) |
(* -1 (/ x B)) |
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 (pow x 3))))) (/ 1 B)))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x)))) x)) (/ 1 B)))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x))))) x)) (/ 1 B)))) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(* -1 x) |
(- (* F (sqrt (/ 1 (+ 2 (* 2 x))))) x) |
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))) x) |
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) x) |
(- 1 x) |
(- (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) x) |
(- (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) x) |
(- (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) x) |
(* -1 (+ 1 x)) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ 1 x)) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4)))) (+ 1 x)) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6))))) (+ 1 x)) |
(* F (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) 1))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) 1))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) 1))) |
(* -1 x) |
(* x (- (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))) 1)) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) 1)) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))))) 1)) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 (pow x 3)))))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))) x))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* x (- (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))) (/ (cos B) (sin B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B))))) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B))) |
(- (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) (/ (* x (cos B)) (sin B))) |
(- (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) (/ (* x (cos B)) (sin B))) |
(* -1 (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(* -1 (/ x B)) |
(+ (* -1 (/ x B)) (* (/ F B) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(+ (* -1 (/ x B)) (* F (+ (* -1/2 (* (/ (pow F 2) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x)))))))) |
(+ (* -1 (/ x B)) (* F (+ (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(/ (- 1 x) B) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (/ 1 B)) (/ x B)) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (/ 1 B))) (/ x B)) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* B (pow F 6)))) (/ 1 B)))) (/ x B)) |
(* -1 (/ (+ 1 x) B)) |
(+ (* -1 (/ (+ 1 x) B)) (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2))))) |
(+ (* -1 (/ (+ 1 x) B)) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))))) |
(+ (* -1 (/ (+ 1 x) B)) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* B (pow F 6))))))) |
(* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* x (- (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* -1 (/ x B)) |
(* x (- (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3)))) (/ 1 B))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3))))) (/ 1 B))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3)))))) (/ 1 B))) |
(* -1 (/ x B)) |
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 (pow x 3))))) (/ 1 B)))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x)))) x)) (/ 1 B)))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x))))) x)) (/ 1 B)))) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(* -1 x) |
(- (* F (sqrt (/ 1 (+ 2 (* 2 x))))) x) |
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))) x) |
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) x) |
(- 1 x) |
(- (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) x) |
(- (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) x) |
(- (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) x) |
(* -1 (+ 1 x)) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ 1 x)) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4)))) (+ 1 x)) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6))))) (+ 1 x)) |
(* F (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) 1))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) 1))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) 1))) |
(* -1 x) |
(* x (- (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))) 1)) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) 1)) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))))) 1)) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 (pow x 3)))))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))) x))))) |
(* F (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))) |
(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
1 |
(+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) |
-1 |
(- (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) 1) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4)))) 1) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6))))) 1) |
(* F (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* -1 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* F (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))))) |
(* (* F (sqrt 1/2)) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x))))) |
(+ (* -1/2 (* (/ (* F (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x)))))) |
(* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (sqrt -1/2)) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))) |
4 |
(+ 4 (* 8 x)) |
(+ 4 (* x (+ 8 (* 4 x)))) |
(+ 4 (* x (+ 8 (* 4 x)))) |
(* 4 (pow x 2)) |
(* (pow x 2) (+ 4 (* 8 (/ 1 x)))) |
(* (pow x 2) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2))))) |
(* (pow x 2) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2))))) |
(* 4 (pow x 2)) |
(* (pow x 2) (+ 4 (* 8 (/ 1 x)))) |
(* (pow x 2) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2))))) |
(* (pow x 2) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2))))) |
1/8 |
(+ 1/8 (* -3/8 x)) |
(+ 1/8 (* x (- (* 3/4 x) 3/8))) |
(+ 1/8 (* x (- (* x (+ 3/4 (* -5/4 x))) 3/8))) |
(/ 1/8 (pow x 3)) |
(/ (- 1/8 (* 3/8 (/ 1 x))) (pow x 3)) |
(/ (- (+ 1/8 (/ 3/4 (pow x 2))) (* 3/8 (/ 1 x))) (pow x 3)) |
(/ (- (+ 1/8 (/ 3/4 (pow x 2))) (+ (* 3/8 (/ 1 x)) (* 5/4 (/ 1 (pow x 3))))) (pow x 3)) |
(/ 1/8 (pow x 3)) |
(* -1 (/ (- (* 3/8 (/ 1 x)) 1/8) (pow x 3))) |
(* -1 (/ (- (* -1 (/ (- (* 3/4 (/ 1 x)) 3/8) x)) 1/8) (pow x 3))) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 5/4 (/ 1 x)) 3/4) x)) 3/8) x)) 1/8) (pow x 3))) |
8 |
(+ 8 (* 24 x)) |
(+ 8 (* x (+ 24 (* 24 x)))) |
(+ 8 (* x (+ 24 (* x (+ 24 (* 8 x)))))) |
(* 8 (pow x 3)) |
(* (pow x 3) (+ 8 (* 24 (/ 1 x)))) |
(* (pow x 3) (+ 8 (+ (* 24 (/ 1 x)) (/ 24 (pow x 2))))) |
(* (pow x 3) (+ 8 (+ (* 24 (/ 1 x)) (+ (* 8 (/ 1 (pow x 3))) (/ 24 (pow x 2)))))) |
(* 8 (pow x 3)) |
(* (pow x 3) (+ 8 (* 24 (/ 1 x)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 24 (* 24 (/ 1 x))) x)) 8))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 24 (+ (* 24 (/ 1 x)) (/ 8 (pow x 2)))) x)) 8))) |
1/2 |
(+ 1/2 (* -1/2 x)) |
(+ 1/2 (* x (- (* 1/2 x) 1/2))) |
(+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2))) |
(/ 1/2 x) |
(/ (- 1/2 (* 1/2 (/ 1 x))) x) |
(/ (- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x))) x) |
(/ (- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))) x) |
(/ 1/2 x) |
(* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x)) 1/2) x)) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* -1 (/ (cos B) (sin B))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* -1 (/ (cos B) (sin B))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* -1 (/ (cos B) (sin B))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))) (/ (cos B) (sin B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B))))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))))) |
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(* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
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(/ 1 (* B F)) |
(/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (/ 1 B)) F) |
(/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (/ 1 B))) F) |
(/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* B (pow F 6)))) (/ 1 B)))) F) |
(/ -1 (* B F)) |
(* -1 (/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (/ 1 B)) F)) |
(* -1 (/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (/ 1 B))) F)) |
(* -1 (/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* B (pow F 6)))) (/ 1 B)))) F)) |
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(+ (* x (+ (* -1 (* (/ 1 B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ x B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ 1 B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ 1 B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ x B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ 1 B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ 1 B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* (/ (sqrt 1/2) B) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (+ 2 (pow F 2)) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (sqrt 1/2) B) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (+ 2 (pow F 2)) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (pow (+ 2 (pow F 2)) 2) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (sqrt 1/2) B) (sqrt (/ 1 x))))) |
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(* (/ (* (sqrt -1) (sqrt -1/2)) B) (sqrt (/ 1 x))) |
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(+ (* -1/8 (* (/ (* (sqrt -1) (+ 2 (pow F 2))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* (sqrt -1) (sqrt -1/2)) B) (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (* B (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (* B (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* (sqrt -1) (+ 2 (pow F 2))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sqrt -1) (sqrt -1/2)) B) (sqrt (/ 1 x))))) |
(* (/ 1 B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ 1 B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ 1 B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ 1 B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ 1 B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ 1 B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ 1 B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ 1 B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ 1 B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ 1 B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ 1 B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ 1 B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(sqrt (+ 2 (pow F 2))) |
(+ (sqrt (+ 2 (pow F 2))) (* x (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (sqrt (+ 2 (pow F 2))) (* x (+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* -1/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))))))) |
(+ (sqrt (+ 2 (pow F 2))) (* x (+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* 1/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))))) |
(* (sqrt x) (sqrt 2)) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 2)))) (* (sqrt (/ 1 x)) (sqrt 2)))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 2)))) (* (sqrt (/ 1 x)) (sqrt 2))))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow (+ 2 (pow F 2)) 3) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 2)))) (* (sqrt (/ 1 x)) (sqrt 2)))))) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1))))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 3)) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1)))))))) |
(sqrt (+ 2 (* 2 x))) |
(+ (sqrt (+ 2 (* 2 x))) (* 1/2 (* (pow F 2) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(+ (sqrt (+ 2 (* 2 x))) (* (pow F 2) (+ (* -1/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 1/2 (sqrt (/ 1 (+ 2 (* 2 x)))))))) |
(+ (sqrt (+ 2 (* 2 x))) (* (pow F 2) (+ (* 1/2 (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 1/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
F |
(* F (+ 1 (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))))) |
(* F (+ 1 (+ (* -1/8 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2)))))) |
(* F (+ 1 (+ (* -1/8 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 1/16 (/ (pow (+ 2 (* 2 x)) 3) (pow F 6))) (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))))))) |
(* -1 F) |
(* -1 (* F (+ 1 (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2)))))) |
(* -1 (* F (+ 1 (+ (* -1/8 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))))))) |
(* -1 (* F (+ 1 (+ (* -1/8 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 1/16 (/ (pow (+ 2 (* 2 x)) 3) (pow F 6))) (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2)))))))) |
(/ (* 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)) |
(sqrt (/ 1 (+ 2 (pow F 2)))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* -1 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* 3/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* x (+ (* -5/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) |
(* (sqrt (/ 1 x)) (sqrt 1/2)) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))) (sqrt 1/2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))))) |
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))) |
(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (sqrt -1/2))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))) |
(sqrt (/ 1 (+ 2 (* 2 x)))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(/ 1 F) |
(/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F) |
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F) |
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F) |
(/ -1 F) |
(* -1 (/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F)) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* x (- (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))) (/ (cos B) (sin B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B))))) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B))) |
(- (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) (/ (* x (cos B)) (sin B))) |
(- (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) (/ (* x (cos B)) (sin B))) |
(* -1 (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(sqrt 1/8) |
(+ (sqrt 1/8) (* -3/16 (/ x (sqrt 1/8)))) |
(+ (sqrt 1/8) (* x (- (* 1/2 (/ (* x (- 3/4 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (sqrt 1/8))) (* 3/16 (/ 1 (sqrt 1/8)))))) |
(+ (sqrt 1/8) (* x (- (* x (+ (* -1/2 (/ (* x (+ 5/4 (* -3/16 (/ (- 3/4 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2))))) (sqrt 1/8))) (* 1/2 (/ (- 3/4 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))))) (* 3/16 (/ 1 (sqrt 1/8)))))) |
(* (sqrt (/ 1 (pow x 3))) (sqrt 1/8)) |
(/ (+ (* -3/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt 1/8)))) (* (sqrt (/ 1 x)) (sqrt 1/8))) x) |
(/ (+ (* -3/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt 1/8)))) (+ (* 3/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt 1/8)))) (* (sqrt (/ 1 x)) (sqrt 1/8)))) x) |
(/ (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ 5/4 (* 9/256 (/ x (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) (+ (* -3/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt 1/8)))) (+ (* 3/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt 1/8)))) (* (sqrt (/ 1 x)) (sqrt 1/8))))) x) |
(* -1 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt -1/8)))) |
(* -1 (/ (+ (* -3/16 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt -1/8)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/8)))) x)) |
(* -1 (/ (+ (* -3/16 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt -1/8)))) (+ (* 3/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (sqrt -1/8)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/8))))) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -3/8 (* (sqrt x) (/ (sqrt -1) (sqrt -1/8)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (+ 5/4 (* -9/256 (/ x (pow (sqrt -1/8) 2))))) (sqrt -1/8))))) (pow x 3))) (+ (* -3/16 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt -1/8)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/8))))) x)) |
(* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) |
(* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) |
(* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) |
(* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) |
(* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) |
(* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) |
(* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) |
(* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) |
(* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) |
(* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) |
(* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) |
(* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) |
(* (pow F 2) (sqrt 1/8)) |
(+ (* -3/16 (/ (* (pow F 2) x) (sqrt 1/8))) (* (pow F 2) (sqrt 1/8))) |
(+ (* x (+ (* -3/16 (/ (pow F 2) (sqrt 1/8))) (* 1/2 (/ (* (pow F 2) (* x (- 3/4 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))))) (sqrt 1/8))))) (* (pow F 2) (sqrt 1/8))) |
(+ (* x (+ (* -3/16 (/ (pow F 2) (sqrt 1/8))) (* x (+ (* -1/2 (/ (* (pow F 2) (* x (+ 5/4 (* -3/16 (/ (- 3/4 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))))) (sqrt 1/8))) (* 1/2 (/ (* (pow F 2) (- 3/4 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (sqrt 1/8))))))) (* (pow F 2) (sqrt 1/8))) |
(* (* (pow F 2) (sqrt 1/8)) (sqrt (/ 1 (pow x 3)))) |
(/ (+ (* -3/16 (* (/ (pow F 2) (sqrt 1/8)) (sqrt (/ 1 (pow x 3))))) (* (* (pow F 2) (sqrt 1/8)) (sqrt (/ 1 x)))) x) |
(/ (+ (* -3/16 (* (/ (pow F 2) (sqrt 1/8)) (sqrt (/ 1 (pow x 3))))) (+ (* 3/8 (* (/ (pow F 2) (sqrt 1/8)) (sqrt (/ 1 (pow x 5))))) (* (* (pow F 2) (sqrt 1/8)) (sqrt (/ 1 x))))) x) |
(/ (+ (* -1/2 (* (/ (* (pow F 2) (+ 5/4 (* 9/256 (/ x (pow (sqrt 1/8) 2))))) (sqrt 1/8)) (sqrt (/ 1 (pow x 7))))) (+ (* -3/16 (* (/ (pow F 2) (sqrt 1/8)) (sqrt (/ 1 (pow x 3))))) (+ (* 3/8 (* (/ (pow F 2) (sqrt 1/8)) (sqrt (/ 1 (pow x 5))))) (* (* (pow F 2) (sqrt 1/8)) (sqrt (/ 1 x)))))) x) |
(* -1 (* (* (pow F 2) (* (sqrt -1) (sqrt -1/8))) (sqrt (/ 1 (pow x 3))))) |
(* -1 (/ (+ (* -3/16 (* (/ (* (pow F 2) (sqrt -1)) (sqrt -1/8)) (sqrt (/ 1 (pow x 3))))) (* (* (pow F 2) (* (sqrt -1) (sqrt -1/8))) (sqrt (/ 1 x)))) x)) |
(* -1 (/ (+ (* -3/16 (* (/ (* (pow F 2) (sqrt -1)) (sqrt -1/8)) (sqrt (/ 1 (pow x 3))))) (+ (* 3/8 (* (/ (* (pow F 2) (sqrt -1)) (sqrt -1/8)) (sqrt (/ 1 (pow x 5))))) (* (* (pow F 2) (* (sqrt -1) (sqrt -1/8))) (sqrt (/ 1 x))))) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -3/8 (* (/ (* (pow F 2) (sqrt -1)) (sqrt -1/8)) (sqrt x))) (* 1/2 (* (/ (* (pow F 2) (* (sqrt -1) (+ 5/4 (* -9/256 (/ x (pow (sqrt -1/8) 2)))))) (sqrt -1/8)) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -3/16 (* (/ (* (pow F 2) (sqrt -1)) (sqrt -1/8)) (sqrt (/ 1 (pow x 3))))) (* (* (pow F 2) (* (sqrt -1) (sqrt -1/8))) (sqrt (/ 1 x))))) x)) |
(sqrt (/ 1 (+ 2 (* 2 x)))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(/ 1 F) |
(/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F) |
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F) |
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F) |
(/ -1 F) |
(* -1 (/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F)) |
(sqrt (/ 1 (+ 2 (pow F 2)))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* -1 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* 3/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* x (+ (* -5/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) |
(* (sqrt (/ 1 x)) (sqrt 1/2)) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))) (sqrt 1/2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))))) |
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))) |
(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (sqrt -1/2))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))) |
(/ 1 (+ 2 (* 2 x))) |
(+ (* -1 (/ (pow F 2) (pow (+ 2 (* 2 x)) 2))) (/ 1 (+ 2 (* 2 x)))) |
(+ (* (pow F 2) (- (/ (pow F 2) (pow (+ 2 (* 2 x)) 3)) (/ 1 (pow (+ 2 (* 2 x)) 2)))) (/ 1 (+ 2 (* 2 x)))) |
(+ (* (pow F 2) (- (* (pow F 2) (+ (* -1 (/ (pow F 2) (pow (+ 2 (* 2 x)) 4))) (/ 1 (pow (+ 2 (* 2 x)) 3)))) (/ 1 (pow (+ 2 (* 2 x)) 2)))) (/ 1 (+ 2 (* 2 x)))) |
(/ 1 (pow F 2)) |
(/ (+ 1 (* -1 (/ (+ 2 (* 2 x)) (pow F 2)))) (pow F 2)) |
(/ (- (+ 1 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2))))) (pow F 2)) |
(/ (- (+ 1 (* -1 (/ (pow (+ 2 (* 2 x)) 3) (pow F 6)))) (+ (* -1 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2)))))) (pow F 2)) |
(/ 1 (pow F 2)) |
(/ (+ 1 (* -1 (/ (+ 2 (* 2 x)) (pow F 2)))) (pow F 2)) |
(/ (- (+ 1 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2))))) (pow F 2)) |
(/ (- (+ 1 (* -1 (/ (pow (+ 2 (* 2 x)) 3) (pow F 6)))) (+ (* -1 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2)))))) (pow F 2)) |
(/ 1 (+ 2 (pow F 2))) |
(+ (* -2 (/ x (pow (+ 2 (pow F 2)) 2))) (/ 1 (+ 2 (pow F 2)))) |
(+ (* x (- (* 4 (/ x (pow (+ 2 (pow F 2)) 3))) (* 2 (/ 1 (pow (+ 2 (pow F 2)) 2))))) (/ 1 (+ 2 (pow F 2)))) |
(+ (* x (- (* x (+ (* -8 (/ x (pow (+ 2 (pow F 2)) 4))) (* 4 (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 2 (/ 1 (pow (+ 2 (pow F 2)) 2))))) (/ 1 (+ 2 (pow F 2)))) |
(/ 1/2 x) |
(/ (+ 1/2 (* -1/4 (/ (+ 2 (pow F 2)) x))) x) |
(/ (- (+ 1/2 (* 1/8 (/ (pow (+ 2 (pow F 2)) 2) (pow x 2)))) (* 1/4 (/ (+ 2 (pow F 2)) x))) x) |
(/ (- (+ 1/2 (* -1/16 (/ (pow (+ 2 (pow F 2)) 3) (pow x 3)))) (+ (* -1/8 (/ (pow (+ 2 (pow F 2)) 2) (pow x 2))) (* 1/4 (/ (+ 2 (pow F 2)) x)))) x) |
(/ 1/2 x) |
(* -1 (/ (- (* 1/4 (/ (+ 2 (pow F 2)) x)) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (+ 2 (pow F 2)) 2) x)) (* 1/4 (+ 2 (pow F 2)))) x)) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow (+ 2 (pow F 2)) 3) x)) (* 1/8 (pow (+ 2 (pow F 2)) 2))) x)) (* 1/4 (+ 2 (pow F 2)))) x)) 1/2) x)) |
| Outputs |
|---|
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B))) |
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(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))) |
(/.f64 (*.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sin.f64 B)) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) |
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(* B (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) |
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(* B (+ (sqrt (+ 2 (+ (* 2 x) (pow F 2)))) (* -1/6 (* (pow B 2) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))))) |
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(* B (+ (sqrt (+ 2 (+ (* 2 x) (pow F 2)))) (* (pow B 2) (+ (* -1/6 (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) (* 1/120 (* (pow B 2) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))))))) |
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(* B (+ (sqrt (+ 2 (+ (* 2 x) (pow F 2)))) (* (pow B 2) (+ (* -1/6 (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) (* (pow B 2) (+ (* -1/5040 (* (pow B 2) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))) (* 1/120 (sqrt (+ 2 (+ (* 2 x) (pow F 2))))))))))) |
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(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) |
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(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) |
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(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) |
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(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) |
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(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) |
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(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) |
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(* (sqrt x) (* (sin B) (sqrt 2))) |
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(* (sin B) (sqrt (+ 2 (* 2 x)))) |
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(+ (* (sin B) (sqrt (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/8 (* (* (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 1/2 (* (sin B) (sqrt (/ 1 (+ 2 (* 2 x))))))))) |
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(+ (* (sin B) (sqrt (+ 2 (* 2 x)))) (* (pow F 2) (+ (* 1/2 (* (sin B) (sqrt (/ 1 (+ 2 (* 2 x)))))) (* (pow F 2) (+ (* -1/8 (* (sin B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 1/16 (* (* (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(fma.f64 (*.f64 F F) (fma.f64 (*.f64 F F) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sin.f64 B) (*.f64 F F))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 5 binary64)))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) |
(* F (sin B)) |
(*.f64 (sin.f64 B) F) |
(* F (+ (sin B) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2))))) |
(*.f64 F (fma.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 B) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F))) (sin.f64 B))) |
(* F (+ (sin B) (+ (* -1/8 (/ (* (sin B) (pow (+ 2 (* 2 x)) 2)) (pow F 4))) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2)))))) |
(*.f64 F (+.f64 (sin.f64 B) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sin.f64 B) (/.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 F #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 B) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F))))))) |
(* F (+ (sin B) (+ (* -1/8 (/ (* (sin B) (pow (+ 2 (* 2 x)) 2)) (pow F 4))) (+ (* 1/16 (/ (* (sin B) (pow (+ 2 (* 2 x)) 3)) (pow F 6))) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2))))))) |
(*.f64 F (+.f64 (sin.f64 B) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sin.f64 B) (/.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 F #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 B) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sin.f64 B) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (pow.f64 F #s(literal 6 binary64))))))) |
(* -1 (* F (sin B))) |
(neg.f64 (*.f64 (sin.f64 B) F)) |
(* -1 (* F (+ (sin B) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2)))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 B) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F))) (sin.f64 B)) (neg.f64 F)) |
(* -1 (* F (+ (sin B) (+ (* -1/8 (/ (* (sin B) (pow (+ 2 (* 2 x)) 2)) (pow F 4))) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2))))))) |
(neg.f64 (*.f64 F (+.f64 (sin.f64 B) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sin.f64 B) (/.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 F #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 B) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)))))))) |
(* -1 (* F (+ (sin B) (+ (* -1/8 (/ (* (sin B) (pow (+ 2 (* 2 x)) 2)) (pow F 4))) (+ (* 1/16 (/ (* (sin B) (pow (+ 2 (* 2 x)) 3)) (pow F 6))) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2)))))))) |
(*.f64 (+.f64 (sin.f64 B) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sin.f64 B) (/.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 F #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 B) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sin.f64 B) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (pow.f64 F #s(literal 6 binary64)))))) (neg.f64 F)) |
B |
(* B (+ 1 (* -1/6 (pow B 2)))) |
(fma.f64 B (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) B) |
(* B (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6)))) |
(*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(* B (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/120 (* -1/5040 (pow B 2)))) 1/6)))) |
(fma.f64 B (*.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) |
(+ (* x (- (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
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(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
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(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
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(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B)))) |
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(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))) |
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(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))) (/ (cos B) (sin B)))) |
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(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (cos.f64 B) (sin.f64 B))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B))))) |
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(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B))))) |
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(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))) (neg.f64 x)) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B) |
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))) (*.f64 x #s(literal 1/3 binary64))) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B) |
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F)))))) #s(literal 1/6 binary64) (fma.f64 (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))) (neg.f64 (*.f64 F #s(literal -7/360 binary64))) (*.f64 x #s(literal 1/45 binary64))) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) |
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F)))))) #s(literal 1/6 binary64) (fma.f64 x #s(literal 1/3 binary64) (*.f64 (*.f64 B B) (-.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))) (neg.f64 (fma.f64 F #s(literal -1/5040 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 F #s(literal -7/360 binary64)) (*.f64 F #s(literal 1/720 binary64))))) (fma.f64 x #s(literal 1/105 binary64) (*.f64 (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))) (*.f64 F #s(literal -7/360 binary64))))))) (neg.f64 x))) B) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
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(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
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(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
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(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
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(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
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(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
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(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))) (neg.f64 x)) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
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(* -1 x) |
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(fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (neg.f64 x)) |
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(- 1 x) |
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(* -1 (+ 1 x)) |
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(- (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ 1 x)) |
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(* -1 (/ x B)) |
(/.f64 x (neg.f64 B)) |
(+ (* -1 (/ x B)) (* (/ F B) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 F B) (/.f64 x (neg.f64 B))) |
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(fma.f64 F (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) B)) (/.f64 x (neg.f64 B))) |
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(/ (- 1 x) B) |
(/.f64 (-.f64 #s(literal 1 binary64) x) B) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (/ 1 B)) (/ x B)) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (/ 1 B))) (/ x B)) |
(-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 B (*.f64 F F))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal -3/4 binary64)) (*.f64 B (pow.f64 F #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) B))) (/.f64 x B)) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* B (pow F 6)))) (/ 1 B)))) (/ x B)) |
(-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 B (*.f64 F F))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal -3/4 binary64)) (*.f64 B (pow.f64 F #s(literal 4 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal -3/4 binary64)))) (*.f64 B (pow.f64 F #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) B)))) (/.f64 x B)) |
(* -1 (/ (+ 1 x) B)) |
(/.f64 (-.f64 #s(literal -1 binary64) x) B) |
(+ (* -1 (/ (+ 1 x) B)) (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B)) |
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(* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)) |
(+ (* x (- (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
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(+ (* x (- (+ (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
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(* -1 (/ x B)) |
(/.f64 x (neg.f64 B)) |
(* x (- (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3)))) (/ 1 B))) |
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(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3))))) (/ 1 B))) |
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(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3)))))) (/ 1 B))) |
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(* -1 (/ x B)) |
(/.f64 x (neg.f64 B)) |
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 (pow x 3))))) (/ 1 B)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) B))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x)))) x)) (/ 1 B)))) |
(neg.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 F (*.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 B (sqrt.f64 #s(literal -1/2 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) B)) x)))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x))))) x)) (/ 1 B)))) |
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(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))) (neg.f64 x)) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))) (neg.f64 x)) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))) (neg.f64 x)) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))) (neg.f64 x)) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))) (neg.f64 x)) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))) (neg.f64 x)) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))) (neg.f64 x)) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))) (neg.f64 x)) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))) (neg.f64 x)) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))) (neg.f64 x)) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))) (neg.f64 x)) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))) (neg.f64 x)) B) |
(* -1 x) |
(neg.f64 x) |
(- (* F (sqrt (/ 1 (+ 2 (* 2 x))))) x) |
(fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (neg.f64 x)) |
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))) x) |
(fma.f64 F (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (neg.f64 x)) |
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) x) |
(fma.f64 F (fma.f64 (*.f64 F F) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (*.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 5 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (neg.f64 x)) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) x) |
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(- (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) x) |
(-.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal -3/4 binary64)) (pow.f64 F #s(literal 4 binary64)))) #s(literal 1 binary64)) x) |
(- (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) x) |
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(* -1 (+ 1 x)) |
(-.f64 #s(literal -1 binary64) x) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ 1 x)) |
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(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4)))) (+ 1 x)) |
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal -3/4 binary64)) (pow.f64 F #s(literal 4 binary64)))) (-.f64 #s(literal -1 binary64) x)) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6))))) (+ 1 x)) |
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(* F (sqrt (/ 1 (+ 2 (pow F 2))))) |
(*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) 1))) |
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(* -1 x) |
(neg.f64 x) |
(* x (- (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))) 1)) |
(*.f64 x (fma.f64 F (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) 1)) |
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(* -1 x) |
(neg.f64 x) |
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(* F (sqrt (/ 1 (+ 2 (* 2 x))))) |
(*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) |
(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))) |
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(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
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(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) |
(fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal -3/4 binary64)) (pow.f64 F #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal -3/4 binary64)) (pow.f64 F #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal -3/4 binary64))))) (pow.f64 F #s(literal 6 binary64))))) |
-1 |
#s(literal -1 binary64) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) 1) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal -1 binary64)) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4)))) 1) |
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal -3/4 binary64)) (pow.f64 F #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6))))) 1) |
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(* F (sqrt (/ 1 (+ 2 (pow F 2))))) |
(*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) |
(+ (* -1 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* F (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))))) (neg.f64 (*.f64 x F)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) |
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(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))))) |
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(* (* F (sqrt 1/2)) (sqrt (/ 1 x))) |
(*.f64 (*.f64 F (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x)))) |
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(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x))))) |
(fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 F (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 F (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (*.f64 F (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))))))) |
(+ (* -1/2 (* (/ (* F (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x)))))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (*.f64 F (fma.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))) #s(literal 1/16 binary64) (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 x (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))))) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 F (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 F (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (*.f64 F (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))))))) |
(* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))) |
(*.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))) |
(fma.f64 F (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 F (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))))))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))) |
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(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (sqrt -1/2)) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))) |
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4 |
#s(literal 4 binary64) |
(+ 4 (* 8 x)) |
(fma.f64 x #s(literal 8 binary64) #s(literal 4 binary64)) |
(+ 4 (* x (+ 8 (* 4 x)))) |
(fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 8 binary64)) #s(literal 4 binary64)) |
(+ 4 (* x (+ 8 (* 4 x)))) |
(fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 8 binary64)) #s(literal 4 binary64)) |
(* 4 (pow x 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 4 (* 8 (/ 1 x)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) x))) |
(* (pow x 2) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 8 binary64) x) (/.f64 #s(literal 4 binary64) (*.f64 x x))))) |
(* (pow x 2) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 8 binary64) x) (/.f64 #s(literal 4 binary64) (*.f64 x x))))) |
(* 4 (pow x 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 4 (* 8 (/ 1 x)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) x))) |
(* (pow x 2) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 8 binary64) x) (/.f64 #s(literal 4 binary64) (*.f64 x x))))) |
(* (pow x 2) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 8 binary64) x) (/.f64 #s(literal 4 binary64) (*.f64 x x))))) |
1/8 |
#s(literal 1/8 binary64) |
(+ 1/8 (* -3/8 x)) |
(fma.f64 x #s(literal -3/8 binary64) #s(literal 1/8 binary64)) |
(+ 1/8 (* x (- (* 3/4 x) 3/8))) |
(fma.f64 x (fma.f64 x #s(literal 3/4 binary64) #s(literal -3/8 binary64)) #s(literal 1/8 binary64)) |
(+ 1/8 (* x (- (* x (+ 3/4 (* -5/4 x))) 3/8))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/4 binary64) #s(literal 3/4 binary64)) #s(literal -3/8 binary64)) #s(literal 1/8 binary64)) |
(/ 1/8 (pow x 3)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) |
(/ (- 1/8 (* 3/8 (/ 1 x))) (pow x 3)) |
(/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 3/8 binary64) x)) (*.f64 x (*.f64 x x))) |
(/ (- (+ 1/8 (/ 3/4 (pow x 2))) (* 3/8 (/ 1 x))) (pow x 3)) |
(/.f64 (+.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (/.f64 #s(literal -3/8 binary64) x)) (*.f64 x (*.f64 x x))) |
(/ (- (+ 1/8 (/ 3/4 (pow x 2))) (+ (* 3/8 (/ 1 x)) (* 5/4 (/ 1 (pow x 3))))) (pow x 3)) |
(/.f64 (-.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 3/8 binary64) x) (/.f64 #s(literal 5/4 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x))) |
(/ 1/8 (pow x 3)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (/ (- (* 3/8 (/ 1 x)) 1/8) (pow x 3))) |
(/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/8 binary64)) (*.f64 x (*.f64 x x))) |
(* -1 (/ (- (* -1 (/ (- (* 3/4 (/ 1 x)) 3/8) x)) 1/8) (pow x 3))) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) x) #s(literal -3/8 binary64)) (neg.f64 x)) #s(literal -1/8 binary64)) (neg.f64 (*.f64 x (*.f64 x x)))) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 5/4 (/ 1 x)) 3/4) x)) 3/8) x)) 1/8) (pow x 3))) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 5/4 binary64) x) #s(literal -3/4 binary64)) (neg.f64 x)) #s(literal -3/8 binary64)) (neg.f64 x)) #s(literal -1/8 binary64)) (neg.f64 (*.f64 x (*.f64 x x)))) |
8 |
#s(literal 8 binary64) |
(+ 8 (* 24 x)) |
(fma.f64 x #s(literal 24 binary64) #s(literal 8 binary64)) |
(+ 8 (* x (+ 24 (* 24 x)))) |
(fma.f64 x (fma.f64 x #s(literal 24 binary64) #s(literal 24 binary64)) #s(literal 8 binary64)) |
(+ 8 (* x (+ 24 (* x (+ 24 (* 8 x)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 8 binary64) #s(literal 24 binary64)) #s(literal 24 binary64)) #s(literal 8 binary64)) |
(* 8 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) |
(* (pow x 3) (+ 8 (* 24 (/ 1 x)))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 24 binary64) x))) |
(* (pow x 3) (+ 8 (+ (* 24 (/ 1 x)) (/ 24 (pow x 2))))) |
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(* (pow x 3) (+ 8 (+ (* 24 (/ 1 x)) (+ (* 8 (/ 1 (pow x 3))) (/ 24 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 8 binary64) (+.f64 (/.f64 #s(literal 24 binary64) x) (+.f64 (/.f64 #s(literal 24 binary64) (*.f64 x x)) (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))))))) |
(* 8 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) |
(* (pow x 3) (+ 8 (* 24 (/ 1 x)))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 24 binary64) x))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 24 (* 24 (/ 1 x))) x)) 8))) |
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal 24 binary64) x)) (neg.f64 x)) #s(literal -8 binary64)) (neg.f64 (*.f64 x (*.f64 x x)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 24 (+ (* 24 (/ 1 x)) (/ 8 (pow x 2)))) x)) 8))) |
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1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/2 x)) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* x (- (* 1/2 x) 1/2))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ (- 1/2 (* 1/2 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) |
(/ (- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) x))) x) |
(/ (- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))) x) |
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))))) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) |
(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x)) 1/2) x)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64)) (neg.f64 x)) #s(literal -1/2 binary64)) (neg.f64 x)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* -1 (/ (cos B) (sin B))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
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(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* -1 (/ (cos B) (sin B))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
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(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B)))) |
(*.f64 x (-.f64 (*.f64 (/.f64 (*.f64 F (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (cos.f64 B) (sin.f64 B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))) |
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(* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) |
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(+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))) |
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(/ 1 (* F (sin B))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) F)) |
(/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) F) |
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(/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) F) |
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(/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) F) |
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(/ -1 (* F (sin B))) |
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F)) |
(* -1 (/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) F)) |
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(* -1 (/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) F)) |
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(* (/ 1 B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
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(/ (+ (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (* 1/6 (* (pow B 2) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) B) |
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(/ (+ (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (* (pow B 2) (+ (* 7/360 (* (pow B 2) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/6 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))) B) |
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(* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
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(* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
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(* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
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(* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
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(* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
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(* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
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(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) B) |
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(/ 1 (* B F)) |
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(* (/ (sqrt 1/2) B) (sqrt (/ 1 x))) |
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(* (/ (* (sqrt -1) (sqrt -1/2)) B) (sqrt (/ 1 x))) |
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(* (/ 1 B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
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(* (/ 1 B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
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(sqrt (+ 2 (pow F 2))) |
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(+ (sqrt (+ 2 (pow F 2))) (* x (sqrt (/ 1 (+ 2 (pow F 2)))))) |
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(+ (sqrt (+ 2 (pow F 2))) (* x (+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* -1/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))))))) |
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(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 2)))) (* (sqrt (/ 1 x)) (sqrt 2)))) |
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(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 2)))) (* (sqrt (/ 1 x)) (sqrt 2))))) |
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(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow (+ 2 (pow F 2)) 3) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 2)))) (* (sqrt (/ 1 x)) (sqrt 2)))))) |
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(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
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(sqrt (+ 2 (* 2 x))) |
(sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) |
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F |
(* F (+ 1 (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))))) |
(fma.f64 F (/.f64 (fma.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 F F)) F) |
(* F (+ 1 (+ (* -1/8 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2)))))) |
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(* -1 F) |
(neg.f64 F) |
(* -1 (* F (+ 1 (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2)))))) |
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(* -1 (* F (+ 1 (+ (* -1/8 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))))))) |
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(* -1 (* F (+ 1 (+ (* -1/8 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 1/16 (/ (pow (+ 2 (* 2 x)) 3) (pow F 6))) (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2)))))))) |
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(/ (* x (cos B)) (sin B)) |
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(/ (* x (cos B)) (sin B)) |
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(/ (* x (cos B)) (sin B)) |
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(/ (* x (cos B)) (sin B)) |
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(/ (* x (cos B)) (sin B)) |
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(/ x B) |
(/.f64 x B) |
(/ (+ x (* -1/3 (* (pow B 2) x))) B) |
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(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) |
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(/ (+ 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) |
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(/ (* x (cos B)) (sin B)) |
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(/ (* x (cos B)) (sin B)) |
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(sqrt (/ 1 (+ 2 (pow F 2)))) |
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(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* -1 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))))) |
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(* (sqrt (/ 1 x)) (sqrt 1/2)) |
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(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))) |
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(sqrt (/ 1 (+ 2 (* 2 x)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))))) |
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(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
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(/ 1 F) |
(/.f64 #s(literal 1 binary64) F) |
(/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1 binary64)) F) |
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F) |
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(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F) |
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(/ -1 F) |
(/.f64 #s(literal -1 binary64) F) |
(* -1 (/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1 binary64)) (neg.f64 F)) |
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(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) |
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(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))) |
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(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
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(sqrt (/ 1 (+ 2 (pow F 2)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* -1 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))))) |
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))))))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* 3/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) |
(fma.f64 x (-.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* x (+ (* -5/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) |
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 #s(literal -5/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 7 binary64)))) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 5 binary64)))))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) |
(* (sqrt (/ 1 x)) (sqrt 1/2)) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))) |
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2)))) |
(fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))) (sqrt 1/2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (fma.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))) #s(literal 1/16 binary64) (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 x (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))))) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))) |
(fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))) |
(fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (sqrt -1/2))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))) |
(-.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (sqrt.f64 x) (*.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))) #s(literal 1/16 binary64) (/.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 x (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))))) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal -1/2 binary64))))) (*.f64 x (*.f64 x x)))) |
(/ 1 (+ 2 (* 2 x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) |
(+ (* -1 (/ (pow F 2) (pow (+ 2 (* 2 x)) 2))) (/ 1 (+ 2 (* 2 x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 (*.f64 F F) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) |
(+ (* (pow F 2) (- (/ (pow F 2) (pow (+ 2 (* 2 x)) 3)) (/ 1 (pow (+ 2 (* 2 x)) 2)))) (/ 1 (+ 2 (* 2 x)))) |
(fma.f64 (*.f64 F F) (+.f64 (/.f64 (*.f64 F F) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) |
(+ (* (pow F 2) (- (* (pow F 2) (+ (* -1 (/ (pow F 2) (pow (+ 2 (* 2 x)) 4))) (/ 1 (pow (+ 2 (* 2 x)) 3)))) (/ 1 (pow (+ 2 (* 2 x)) 2)))) (/ 1 (+ 2 (* 2 x)))) |
(fma.f64 (*.f64 F F) (fma.f64 (*.f64 F F) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (/.f64 (*.f64 F F) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) |
(/ 1 (pow F 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 F F)) |
(/ (+ 1 (* -1 (/ (+ 2 (* 2 x)) (pow F 2)))) (pow F 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F))) (*.f64 F F)) |
(/ (- (+ 1 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2))))) (pow F 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 F #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 x (*.f64 F F)) (/.f64 #s(literal 2 binary64) (*.f64 F F))))) (*.f64 F F)) |
(/ (- (+ 1 (* -1 (/ (pow (+ 2 (* 2 x)) 3) (pow F 6)))) (+ (* -1 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2)))))) (pow F 2)) |
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (pow.f64 F #s(literal 6 binary64)))) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (*.f64 F F)) (/.f64 #s(literal 2 binary64) (*.f64 F F))) (/.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 F #s(literal 4 binary64))))) (*.f64 F F)) |
(/ 1 (pow F 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 F F)) |
(/ (+ 1 (* -1 (/ (+ 2 (* 2 x)) (pow F 2)))) (pow F 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F))) (*.f64 F F)) |
(/ (- (+ 1 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2))))) (pow F 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 F #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 x (*.f64 F F)) (/.f64 #s(literal 2 binary64) (*.f64 F F))))) (*.f64 F F)) |
(/ (- (+ 1 (* -1 (/ (pow (+ 2 (* 2 x)) 3) (pow F 6)))) (+ (* -1 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2)))))) (pow F 2)) |
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (pow.f64 F #s(literal 6 binary64)))) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (*.f64 F F)) (/.f64 #s(literal 2 binary64) (*.f64 F F))) (/.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 F #s(literal 4 binary64))))) (*.f64 F F)) |
(/ 1 (+ 2 (pow F 2))) |
(/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) |
(+ (* -2 (/ x (pow (+ 2 (pow F 2)) 2))) (/ 1 (+ 2 (pow F 2)))) |
(fma.f64 #s(literal -2 binary64) (/.f64 x (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) |
(+ (* x (- (* 4 (/ x (pow (+ 2 (pow F 2)) 3))) (* 2 (/ 1 (pow (+ 2 (pow F 2)) 2))))) (/ 1 (+ 2 (pow F 2)))) |
(fma.f64 x (fma.f64 #s(literal 4 binary64) (/.f64 x (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))))) (/.f64 #s(literal -2 binary64) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) |
(+ (* x (- (* x (+ (* -8 (/ x (pow (+ 2 (pow F 2)) 4))) (* 4 (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 2 (/ 1 (pow (+ 2 (pow F 2)) 2))))) (/ 1 (+ 2 (pow F 2)))) |
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -8 binary64) (/.f64 x (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 #s(literal -2 binary64) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ (+ 1/2 (* -1/4 (/ (+ 2 (pow F 2)) x))) x) |
(/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (fma.f64 F F #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) x) |
(/ (- (+ 1/2 (* 1/8 (/ (pow (+ 2 (pow F 2)) 2) (pow x 2)))) (* 1/4 (/ (+ 2 (pow F 2)) x))) x) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 x x)) (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/4 binary64)) x))) x) |
(/ (- (+ 1/2 (* -1/16 (/ (pow (+ 2 (pow F 2)) 3) (pow x 3)))) (+ (* -1/8 (/ (pow (+ 2 (pow F 2)) 2) (pow x 2))) (* 1/4 (/ (+ 2 (pow F 2)) x)))) x) |
(/.f64 (-.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))) (*.f64 x (*.f64 x x))) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 x x)) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 F F #s(literal 2 binary64))) x))) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(* -1 (/ (- (* 1/4 (/ (+ 2 (pow F 2)) x)) 1/2) x)) |
(/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (fma.f64 F F #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (+ 2 (pow F 2)) 2) x)) (* 1/4 (+ 2 (pow F 2)))) x)) 1/2) x)) |
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) x) (*.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/4 binary64))) (neg.f64 x)) #s(literal -1/2 binary64)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow (+ 2 (pow F 2)) 3) x)) (* 1/8 (pow (+ 2 (pow F 2)) 2))) x)) (* 1/4 (+ 2 (pow F 2)))) x)) 1/2) x)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))) x) (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/4 binary64))) (neg.f64 x)) #s(literal -1/2 binary64)) (neg.f64 x)) |
| 4 200× | lower-/.f32 |
| 4 178× | lower-/.f64 |
| 3 730× | lower-fma.f32 |
| 3 716× | lower-*.f32 |
| 3 716× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 510 |
| 0 | 111 | 431 |
| 1 | 471 | 404 |
| 2 | 3586 | 403 |
| 0 | 9270 | 389 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) |
(/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) |
(*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) |
(sin.f64 B) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)) |
(/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B) |
#s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) |
(neg.f64 x) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B)) |
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B) |
(-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) |
(/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) |
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) x) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
#s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B)) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B) |
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) |
(/.f64 x (tan.f64 B)) |
#s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) |
(*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) |
| Outputs |
|---|
(+.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) |
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 x (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))) (/.f64 (/.f64 (/.f64 (*.f64 F F) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))))) |
(-.f64 (/.f64 (*.f64 F (tan.f64 B)) (*.f64 (sin.f64 B) (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (tan.f64 B)))) (/.f64 (*.f64 (sin.f64 B) (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) x)) (*.f64 (sin.f64 B) (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (tan.f64 B))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (/.f64 (sin.f64 B) F)) #s(literal -3 binary64)) (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (/.f64 (/.f64 (*.f64 F F) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 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 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (/.f64 (/.f64 (*.f64 F F) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))))))) |
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 F F) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (+.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B)))) (/.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (+.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))))) |
(-.f64 (+.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(literal 0 binary64)) (/.f64 x (tan.f64 B))) |
(fma.f64 F (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 x (/.f64 #s(literal -1 binary64) (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) |
(fma.f64 (/.f64 x (tan.f64 B)) #s(literal -1 binary64) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) |
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) |
(fma.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (/.f64 F (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 #s(literal -1 binary64) (/.f64 x (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) |
(fma.f64 (neg.f64 F) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (pow.f64 (/.f64 #s(literal 1 binary64) F) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (/.f64 F (sin.f64 B))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) |
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) |
(fma.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 (/.f64 x (neg.f64 (sin.f64 B))) (cos.f64 B) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 (neg.f64 x) (tan.f64 B))) (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)))) (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (/.f64 (sin.f64 B) F)) #s(literal -3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 (/.f64 (*.f64 F F) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 B) (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (tan.f64 B))) (-.f64 (*.f64 F (tan.f64 B)) (*.f64 (sin.f64 B) (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (/.f64 (/.f64 (*.f64 F F) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 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)) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (/.f64 (sin.f64 B) F)) #s(literal -3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (-.f64 (/.f64 (/.f64 (*.f64 F F) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 (neg.f64 x) (tan.f64 B))) (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)))) (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (/.f64 (sin.f64 B) F)) #s(literal -3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 (/.f64 (*.f64 F F) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (sin.f64 B) (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (tan.f64 B))) (-.f64 (*.f64 F (tan.f64 B)) (*.f64 (sin.f64 B) (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (/.f64 (/.f64 (*.f64 F F) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 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)) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (/.f64 (sin.f64 B) F)) #s(literal -3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (-.f64 (/.f64 (/.f64 (*.f64 F F) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))))))) |
(/.f64 (-.f64 (*.f64 F (tan.f64 B)) (*.f64 (sin.f64 B) (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) x))) (*.f64 (sin.f64 B) (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (tan.f64 B)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (/.f64 (sin.f64 B) F)) #s(literal -3 binary64))) (fma.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 (neg.f64 x) (tan.f64 B))) (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (/.f64 (sin.f64 B) F)) #s(literal -3 binary64))) (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (/.f64 (/.f64 (*.f64 F F) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))))) |
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(*.f64 (-.f64 (/.f64 (*.f64 F F) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))) |
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(*.f64 (pow.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 F F #s(literal 2 binary64)))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (-.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 x (*.f64 x #s(literal 4 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) x))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 4 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) (fma.f64 #s(literal 2 binary64) x (*.f64 F F)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F)))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (fma.f64 F F #s(literal 2 binary64)) (+.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) x)) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 F F #s(literal 2 binary64))) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) (*.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))) #s(literal 8 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) (-.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 F F #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 x (*.f64 x #s(literal 4 binary64))))) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) x)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))))) (sqrt.f64 (fma.f64 (fma.f64 F F #s(literal 2 binary64)) (+.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) x)) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 F F #s(literal 2 binary64))) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) (*.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))) #s(literal 8 binary64)))) (sqrt.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) (-.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))))) (sqrt.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 F F #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) (sqrt.f64 (+.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) x)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) (fma.f64 #s(literal 2 binary64) x (*.f64 F F)))))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) |
(exp.f64 (neg.f64 (log.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) |
(exp.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) |
(exp.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (*.f64 (neg.f64 (log.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(literal 1/2 binary64)))) |
(exp.f64 (fma.f64 (neg.f64 (log.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) |
(exp.f64 (fma.f64 (neg.f64 (log.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (log.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(literal 1/2 binary64)))) |
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) |
(pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) #s(literal -2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) #s(literal -1/2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(literal -1/4 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))))) (fma.f64 (fma.f64 F F #s(literal 2 binary64)) (+.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) x)) (*.f64 x (*.f64 x #s(literal 4 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 F F #s(literal 2 binary64))) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 F F #s(literal 2 binary64)) (+.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) x)) (*.f64 x (*.f64 x #s(literal 4 binary64))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 F F #s(literal 2 binary64))) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) (*.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))) #s(literal 8 binary64))) (fma.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) (-.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) (*.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))) #s(literal 8 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) (-.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 F F #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 F F #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (+.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F)))) #s(literal -1 binary64))) |
Compiled 61 038 to 5 695 computations (90.7% saved)
64 alts after pruning (63 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 617 | 44 | 1 661 |
| Fresh | 26 | 19 | 45 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 647 | 64 | 1 711 |
| Status | Accuracy | Program |
|---|---|---|
| 56.0% | (fma.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal -1 binary64) F)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 45.5% | (fma.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)) (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 71.8% | (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (*.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 B (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))))) | |
| 30.0% | (fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B)) F (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (tan.f64 B))) | |
| 50.2% | (fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 #s(approx (/ 1 (+ 2 (+ (* F F) (* 2 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 31.5% | (fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 #s(approx (/ 1 (+ 2 (+ (* F F) (* 2 x)))) (/.f64 #s(literal 1/2 binary64) x))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 52.4% | (fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(approx (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) (/.f64 #s(literal -1 binary64) F)) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 49.4% | (fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) F))) F (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 55.9% | (fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) F (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 47.0% | (fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) #s(approx (/ (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) B) (/.f64 #s(literal 1 binary64) (*.f64 B F)))) F (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 47.4% | (/.f64 (fma.f64 (*.f64 F #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))) (neg.f64 (/.f64 (tan.f64 B) x)) (*.f64 (sin.f64 B) #s(literal 1 binary64))) (*.f64 (sin.f64 B) (neg.f64 (/.f64 (tan.f64 B) x)))) | |
| ▶ | 83.5% | (-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
| ▶ | 58.6% | (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) |
| 56.3% | (-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (neg.f64 F)))) (/.f64 x (tan.f64 B))) | |
| 50.2% | (-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 (sin.f64 B) F))) (/.f64 x (tan.f64 B))) | |
| 72.0% | (-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 B (sqrt.f64 (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))))) (/.f64 x (tan.f64 B))) | |
| 53.8% | (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) | |
| 57.5% | (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) | |
| 21.3% | (+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal -1/3 binary64) #s(literal 1 binary64)) B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) | |
| 25.4% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) | |
| 21.4% | (+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) | |
| 47.2% | #s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))) (*.f64 x #s(literal 1/3 binary64))) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))))) x) B)) | |
| 55.9% | #s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))) | |
| 28.6% | #s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) | |
| 46.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(approx (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360))))) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B)) | |
| 46.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 7/360 binary64) (*.f64 F #s(literal 1/6 binary64))) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x))) B)) | |
| 46.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) F) F) (-.f64 (*.f64 (*.f64 x (*.f64 B B)) #s(literal 1/3 binary64)) x)) B)) | |
| 31.1% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (fma.f64 (*.f64 F F) (+.f64 (/.f64 (*.f64 F F) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) | |
| 32.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 x)) B)) | |
| 17.3% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) B)) | |
| 30.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 F (*.f64 (/.f64 F (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) | |
| 25.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 #s(approx (/ 1 (+ (* 2 x) 2)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))))) (neg.f64 x)) B)) | |
| ▶ | 22.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) |
| 24.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 #s(approx (/ 1 (* (+ (* 2 x) 2) (* (+ (* 2 x) 2) (+ (* 2 x) 2)))) (fma.f64 x (fma.f64 x #s(literal 3/4 binary64) #s(literal -3/8 binary64)) #s(literal 1/8 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) | |
| 29.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 #s(approx (/ 1 (* (+ (* 2 x) 2) (* (+ (* 2 x) 2) (+ (* 2 x) 2)))) #s(literal 1/8 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) | |
| 29.0% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) #s(approx (sqrt (/ 1 (* (+ (* 2 x) 2) (* (+ (* 2 x) 2) (+ (* 2 x) 2))))) (fma.f64 #s(literal -3/16 binary64) (/.f64 x (sqrt.f64 #s(literal 1/8 binary64))) (sqrt.f64 #s(literal 1/8 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) | |
| 28.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B)) | |
| 30.8% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B)) | |
| 17.3% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x)) B)) | |
| 17.3% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))))) x) B)) | |
| 32.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) x) B)) | |
| 30.4% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) B) (*.f64 B x)) (*.f64 B B))) | |
| 21.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal -1 binary64))) x) B)) | |
| 23.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1 binary64))) x) B)) | |
| 28.3% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B)) | |
| ▶ | 30.8% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B)) |
| 34.8% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 F F) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))) B)) | |
| 21.0% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) (*.f64 x (fma.f64 F (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)))) B)) | |
| 30.0% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (fma.f64 (*.f64 B B) #s(literal -31/15120 binary64) #s(literal -7/360 binary64))) (*.f64 x #s(literal 1/3 binary64))) (-.f64 (neg.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) B)) | |
| 27.3% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (-.f64 (fma.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 B B) (+.f64 (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64)) x)) B)) | |
| ▶ | 30.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (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)) |
| 11.1% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) B)) | |
| 25.8% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B)) | |
| ✓ | 31.1% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)) |
| 31.0% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))))) | |
| 47.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 F (*.f64 B (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x B))) | |
| 30.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))) #s(literal -1 binary64)))) | |
| 31.0% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))) | |
| 29.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B)))) | |
| 31.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 F B) (/.f64 x (neg.f64 B))))) | |
| 40.1% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))))) (neg.f64 (/.f64 F B)) (/.f64 #s(literal -1 binary64) B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))) | |
| 28.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 F (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) B)) (/.f64 x (neg.f64 B))))) | |
| 20.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) | |
| 17.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
Compiled 3 009 to 1 689 computations (43.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 B) | |
| cost-diff | 0 | (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) | |
| cost-diff | 0 | (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) | |
| cost-diff | 0 | (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) | |
| cost-diff | 0 | (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) | |
| cost-diff | 0 | (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B) | |
| cost-diff | 0 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) | |
| cost-diff | 192 | (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 x (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))) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (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)))) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (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) | |
| cost-diff | 0 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (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)) | |
| cost-diff | 0 | #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) | |
| cost-diff | 0 | (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B) | |
| cost-diff | 0 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) | |
| cost-diff | 0 | (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) | |
| cost-diff | 0 | (-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 x (tan.f64 B))) | |
| cost-diff | 384 | (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) |
| 15 094× | lower-fma.f32 |
| 15 078× | lower-fma.f64 |
| 4 338× | lower-*.f32 |
| 4 322× | lower-*.f64 |
| 3 160× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 108 | 1015 |
| 0 | 152 | 999 |
| 1 | 308 | 987 |
| 2 | 780 | 978 |
| 3 | 2297 | 957 |
| 4 | 6542 | 957 |
| 0 | 8030 | 929 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) |
(/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) |
F |
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) |
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) |
#s(literal 2 binary64) |
x |
(fma.f64 F F #s(literal 2 binary64)) |
(sin.f64 B) |
B |
(/.f64 x (tan.f64 B)) |
(tan.f64 B) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B)) |
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B) |
(-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) |
#s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
x |
B |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (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)) |
(/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (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) |
#s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (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)))) |
(*.f64 x (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))) |
x |
(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)) |
(*.f64 B 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)) |
(fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) |
#s(literal 2/945 binary64) |
#s(literal 1/45 binary64) |
#s(literal 1/3 binary64) |
#s(literal -1 binary64) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) |
(/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B) |
(fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) |
F |
#s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
#s(literal -1/2 binary64) |
(*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) |
(*.f64 F F) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
x |
#s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))) |
(*.f64 #s(literal 4 binary64) (*.f64 x x)) |
#s(literal 4 binary64) |
(*.f64 x x) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) |
(neg.f64 x) |
B |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) |
(/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) |
F |
(*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) |
(sin.f64 B) |
B |
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) |
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) |
#s(literal 2 binary64) |
x |
(fma.f64 F F #s(literal 2 binary64)) |
#s(approx (/ x (tan B)) (/.f64 x B)) |
(/.f64 x B) |
| Outputs |
|---|
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 F (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) (/.f64 x (tan.f64 B))) |
(/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) |
(/.f64 F (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) |
(/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) |
(/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
F |
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) |
(sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) |
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) |
(fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) |
#s(literal 2 binary64) |
x |
(fma.f64 F F #s(literal 2 binary64)) |
(sin.f64 B) |
B |
(/.f64 x (tan.f64 B)) |
(tan.f64 B) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B)) |
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B) |
(-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) |
#s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
x |
B |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (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)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (fma.f64 B (*.f64 B (fma.f64 B (*.f64 B (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64))) #s(literal 1/3 binary64))) #s(literal -1 binary64)))) B)) |
(/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (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) |
(/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (fma.f64 B (*.f64 B (fma.f64 B (*.f64 B (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64))) #s(literal 1/3 binary64))) #s(literal -1 binary64)))) B) |
#s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (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)))) |
#s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (fma.f64 B (*.f64 B (fma.f64 B (*.f64 B (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64))) #s(literal 1/3 binary64))) #s(literal -1 binary64)))) |
(*.f64 x (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))) |
(*.f64 x (fma.f64 B (*.f64 B (fma.f64 B (*.f64 B (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64))) #s(literal 1/3 binary64))) #s(literal -1 binary64))) |
x |
(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)) |
(fma.f64 B (*.f64 B (fma.f64 B (*.f64 B (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64))) #s(literal 1/3 binary64))) #s(literal -1 binary64)) |
(*.f64 B 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)) |
(fma.f64 B (*.f64 B (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64))) #s(literal 1/3 binary64)) |
(fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) |
(fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) |
#s(literal 2/945 binary64) |
#s(literal 1/45 binary64) |
#s(literal 1/3 binary64) |
#s(literal -1 binary64) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 x (*.f64 x #s(literal 4 binary64))))))) (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 x #s(literal 1 binary64)))))) (neg.f64 x)) B)) |
(/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B) |
(/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 x (*.f64 x #s(literal 4 binary64))))))) (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 x #s(literal 1 binary64)))))) (neg.f64 x)) B) |
(fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) |
(fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 x (*.f64 x #s(literal 4 binary64))))))) (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 x #s(literal 1 binary64)))))) (neg.f64 x)) |
F |
#s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) |
#s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 x (*.f64 x #s(literal 4 binary64))))))) (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 x #s(literal 1 binary64)))))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 x (*.f64 x #s(literal 4 binary64))))))) (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 x #s(literal 1 binary64))))) |
#s(literal -1/2 binary64) |
(*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) |
(*.f64 F (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 x (*.f64 x #s(literal 4 binary64))))))))) |
(*.f64 F F) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x)))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 x (*.f64 x #s(literal 4 binary64))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) |
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 x (*.f64 x #s(literal 4 binary64))))) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
x |
#s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))) |
#s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 x (*.f64 x #s(literal 4 binary64)))) |
(*.f64 #s(literal 4 binary64) (*.f64 x x)) |
(*.f64 x (*.f64 x #s(literal 4 binary64))) |
#s(literal 4 binary64) |
(*.f64 x x) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) |
(sqrt.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) |
(/.f64 #s(literal 1/2 binary64) (+.f64 x #s(literal 1 binary64))) |
(neg.f64 x) |
B |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) |
(-.f64 (/.f64 F (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B))) |
(/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) |
(/.f64 F (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) |
F |
(*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B)) |
(sin.f64 B) |
B |
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) |
(sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) |
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) |
(fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) |
#s(literal 2 binary64) |
x |
(fma.f64 F F #s(literal 2 binary64)) |
#s(approx (/ x (tan B)) (/.f64 x B)) |
(/.f64 x B) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1953125 | (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) | |
| accuracy | 0.21484375 | (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) | |
| accuracy | 14.019441813983917 | (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) | |
| accuracy | 23.73656388770047 | #s(approx (/ x (tan B)) (/.f64 x B)) | |
| accuracy | 6.608712122534679 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x)))))) | |
| accuracy | 23.969580230000574 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) | |
| accuracy | 26.42343492761304 | #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) | |
| accuracy | 37.74967041491447 | #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))) | |
| accuracy | 0.715552168160341 | (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (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) | |
| accuracy | 1.6216675166541292 | (*.f64 x (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))) | |
| accuracy | 23.355228971815592 | #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (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)))) | |
| accuracy | 23.94232658899972 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (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)) | |
| accuracy | 0.00390625 | (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) | |
| accuracy | 0.02734375 | (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B) | |
| accuracy | 23.969580230000574 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B)) | |
| accuracy | 42.2795934655785 | #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) | |
| accuracy | 0.11328125 | (/.f64 x (tan.f64 B)) | |
| accuracy | 0.16796875 | (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) | |
| accuracy | 1.5785452230758024 | (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) | |
| accuracy | 14.019441813983917 | (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) |
| 238.0ms | 229× | 0 | valid |
| 22.0ms | 27× | 0 | invalid |
Compiled 731 to 94 computations (87.1% saved)
ival-mult: 109.0ms (53.7% of total)const: 24.0ms (11.8% of total)ival-div: 21.0ms (10.3% of total)ival-add: 19.0ms (9.4% of total)ival-sqrt: 7.0ms (3.4% of total)ival-pow: 6.0ms (3% of total)ival-sin: 5.0ms (2.5% of total)ival-tan: 4.0ms (2% of total)ival-neg: 4.0ms (2% of total)ival-sub: 3.0ms (1.5% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (patch (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 x (tan.f64 B))) #<representation binary64>) () ()) |
#s(alt (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (patch (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (patch (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B)) (patch #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B) (patch (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) (patch (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (patch #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (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)) (patch #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (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)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (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) (patch (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (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) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (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)))) (patch #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (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)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (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))) (patch (*.f64 x (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))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) (patch #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B) (patch (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B) #<representation binary64>) () ()) |
#s(alt (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) (patch (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) (patch (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) #<representation binary64>) () ()) |
#s(alt (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (patch (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (patch (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #<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 (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (patch #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (patch #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x)))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x)))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (tan B)) (/.f64 x B)) (patch #s(approx (/ x (tan B)) (/.f64 x B)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (taylor 0 F) (#s(alt (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (patch (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) (taylor 0 F) (#s(alt (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (patch (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) (taylor 0 F) (#s(alt (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (patch (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) (taylor 0 F) (#s(alt (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (patch (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (sin B)) (taylor inf F) (#s(alt (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (patch (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) (taylor inf F) (#s(alt (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (patch (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) (taylor inf F) (#s(alt (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (patch (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) (taylor inf F) (#s(alt (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (patch (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (sin B)) (taylor -inf F) (#s(alt (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (patch (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) (taylor -inf F) (#s(alt (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (patch (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (/ 1 (sin B))) (taylor -inf F) (#s(alt (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (patch (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (/ 1 (sin B))) (taylor -inf F) (#s(alt (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (patch (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) (taylor 0 x) (#s(alt (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (patch (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) (taylor 0 x) (#s(alt (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (patch (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) (taylor 0 x) (#s(alt (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (patch (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) (taylor 0 x) (#s(alt (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (patch (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #<representation binary64>) () ())) ()) |
#s(alt (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))) (taylor inf x) (#s(alt (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (patch (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #<representation binary64>) () ())) ()) |
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#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 #s(approx (/ x (tan B)) (/.f64 x B)) (patch #s(approx (/ x (tan B)) (/.f64 x B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (cos B)) (sin B)) (taylor inf B) (#s(alt #s(approx (/ x (tan B)) (/.f64 x B)) (patch #s(approx (/ x (tan B)) (/.f64 x B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (cos B)) (sin B)) (taylor inf B) (#s(alt #s(approx (/ x (tan B)) (/.f64 x B)) (patch #s(approx (/ x (tan B)) (/.f64 x B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (cos B)) (sin B)) (taylor inf B) (#s(alt #s(approx (/ x (tan B)) (/.f64 x B)) (patch #s(approx (/ x (tan B)) (/.f64 x B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (cos B)) (sin B)) (taylor inf B) (#s(alt #s(approx (/ x (tan B)) (/.f64 x B)) (patch #s(approx (/ x (tan B)) (/.f64 x B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (cos B)) (sin B)) (taylor -inf B) (#s(alt #s(approx (/ x (tan B)) (/.f64 x B)) (patch #s(approx (/ x (tan B)) (/.f64 x B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (cos B)) (sin B)) (taylor -inf B) (#s(alt #s(approx (/ x (tan B)) (/.f64 x B)) (patch #s(approx (/ x (tan B)) (/.f64 x B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (cos B)) (sin B)) (taylor -inf B) (#s(alt #s(approx (/ x (tan B)) (/.f64 x B)) (patch #s(approx (/ x (tan B)) (/.f64 x B)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (cos B)) (sin B)) (taylor -inf B) (#s(alt #s(approx (/ x (tan B)) (/.f64 x B)) (patch #s(approx (/ x (tan B)) (/.f64 x B)) #<representation binary64>) () ())) ()) |
174 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | x | @ | -inf | (/ (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) B) |
| 13.0ms | x | @ | 0 | (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) |
| 2.0ms | x | @ | inf | (/ (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) B) |
| 1.0ms | F | @ | inf | (/ (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) B) |
| 1.0ms | F | @ | -inf | (/ (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) B) |
| 1× | egg-herbie |
| 7 560× | lower-fma.f64 |
| 7 560× | lower-fma.f32 |
| 7 466× | lower-*.f64 |
| 7 466× | lower-*.f32 |
| 4 654× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1684 | 26200 |
| 1 | 5682 | 25250 |
| 0 | 8412 | 23048 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
(/ 1 (sin B)) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) |
(/ -1 (sin B)) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (/ 1 (sin B))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (/ 1 (sin B))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* -1 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))))) |
(+ (* -1/2 (* (/ (* F (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))))) |
(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B) |
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* -1 (* (* (pow B 2) (+ (* -1/36 F) (* 1/120 F))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))) B) |
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (* -1 (* (* (pow B 2) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F)))))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) B) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B))) |
(- (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) (/ (* x (cos B)) (sin B))) |
(- (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) (/ (* x (cos B)) (sin B))) |
(* -1 (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* x (- (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))) (/ (cos B) (sin B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B))))) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(* F (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))) |
(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
1 |
(+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) |
-1 |
(- (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) 1) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4)))) 1) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6))))) 1) |
(* F (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* -1 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* F (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))))) |
(* (* F (sqrt 1/2)) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x))))) |
(+ (* -1/2 (* (/ (* F (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x)))))) |
(* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (sqrt -1/2)) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))) |
(sqrt (+ 2 (pow F 2))) |
(+ (sqrt (+ 2 (pow F 2))) (* x (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (sqrt (+ 2 (pow F 2))) (* x (+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* -1/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))))))) |
(+ (sqrt (+ 2 (pow F 2))) (* x (+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* 1/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))))) |
(* (sqrt x) (sqrt 2)) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 2)))) (* (sqrt (/ 1 x)) (sqrt 2)))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 2)))) (* (sqrt (/ 1 x)) (sqrt 2))))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow (+ 2 (pow F 2)) 3) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 2)))) (* (sqrt (/ 1 x)) (sqrt 2)))))) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1))))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 3)) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1)))))))) |
(sqrt (+ 2 (* 2 x))) |
(+ (sqrt (+ 2 (* 2 x))) (* 1/2 (* (pow F 2) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(+ (sqrt (+ 2 (* 2 x))) (* (pow F 2) (+ (* -1/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 1/2 (sqrt (/ 1 (+ 2 (* 2 x)))))))) |
(+ (sqrt (+ 2 (* 2 x))) (* (pow F 2) (+ (* 1/2 (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 1/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
F |
(* F (+ 1 (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))))) |
(* F (+ 1 (+ (* -1/8 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2)))))) |
(* F (+ 1 (+ (* -1/8 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 1/16 (/ (pow (+ 2 (* 2 x)) 3) (pow F 6))) (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))))))) |
(* -1 F) |
(* -1 (* F (+ 1 (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2)))))) |
(* -1 (* F (+ 1 (+ (* -1/8 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))))))) |
(* -1 (* F (+ 1 (+ (* -1/8 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 1/16 (/ (pow (+ 2 (* 2 x)) 3) (pow F 6))) (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2)))))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* x (- (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))) (/ (cos B) (sin B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B))))) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B))) |
(- (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) (/ (* x (cos B)) (sin B))) |
(- (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) (/ (* x (cos B)) (sin B))) |
(* -1 (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(* -1 (/ x B)) |
(+ (* -1 (/ x B)) (* (/ F B) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(+ (* -1 (/ x B)) (* F (+ (* -1/2 (* (/ (pow F 2) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x)))))))) |
(+ (* -1 (/ x B)) (* F (+ (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(/ (- 1 x) B) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (/ 1 B)) (/ x B)) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (/ 1 B))) (/ x B)) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* B (pow F 6)))) (/ 1 B)))) (/ x B)) |
(* -1 (/ (+ 1 x) B)) |
(+ (* -1 (/ (+ 1 x) B)) (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2))))) |
(+ (* -1 (/ (+ 1 x) B)) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))))) |
(+ (* -1 (/ (+ 1 x) B)) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* B (pow F 6))))))) |
(* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* x (- (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* -1 (/ x B)) |
(* x (- (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3)))) (/ 1 B))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3))))) (/ 1 B))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3)))))) (/ 1 B))) |
(* -1 (/ x B)) |
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 (pow x 3))))) (/ 1 B)))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x)))) x)) (/ 1 B)))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x))))) x)) (/ 1 B)))) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(* -1 x) |
(- (* F (sqrt (/ 1 (+ 2 (* 2 x))))) x) |
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))) x) |
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) x) |
(- 1 x) |
(- (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) x) |
(- (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) x) |
(- (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) x) |
(* -1 (+ 1 x)) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ 1 x)) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4)))) (+ 1 x)) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6))))) (+ 1 x)) |
(* F (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) 1))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) 1))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) 1))) |
(* -1 x) |
(* x (- (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))) 1)) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) 1)) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))))) 1)) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 (pow x 3)))))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))) x))))) |
(* F (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))) |
(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
1 |
(+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) |
-1 |
(- (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) 1) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4)))) 1) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6))))) 1) |
(* F (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* -1 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* F (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))))) |
(* (* F (sqrt 1/2)) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x))))) |
(+ (* -1/2 (* (/ (* F (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x)))))) |
(* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))) |
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(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) |
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(* -1 (/ (* x (cos B)) (sin B))) |
(* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))) |
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(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B))))) |
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(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B))))) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
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(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* 7/360 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/45 x))))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* 7/360 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/45 x) (* (pow B 2) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 2/945 x)))))))))) x) B) |
(* (pow B 5) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 2/945 x))) |
(* (pow B 5) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 2/945 x) (+ (* 7/360 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/45 (/ x (pow B 2))))))) |
(* (pow B 5) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 2/945 x) (+ (* 7/360 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/45 (/ x (pow B 2))) (+ (* 1/6 (* (/ F (pow B 4)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 (/ x (pow B 4))))))))) |
(* (pow B 5) (- (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 2/945 x) (+ (* 7/360 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/45 (/ x (pow B 2))) (+ (* 1/6 (* (/ F (pow B 4)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 (/ x (pow B 4))) (* (/ F (pow B 6)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) (/ x (pow B 6)))) |
(* (pow B 5) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 2/945 x))) |
(* -1 (* (pow B 5) (+ (* -1 (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 2/945 x))) (* -1 (/ (+ (* 7/360 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/45 x)) (pow B 2)))))) |
(* -1 (* (pow B 5) (+ (* -1 (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 2/945 x))) (+ (* -1 (/ (+ (* 7/360 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/45 x)) (pow B 2))) (* -1 (/ (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)) (pow B 4))))))) |
(* -1 (* (pow B 5) (+ (* -1 (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 2/945 x))) (+ (* -1 (/ (+ (* 7/360 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/45 x)) (pow B 2))) (+ (* -1 (/ (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)) (pow B 4))) (* -1 (/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) (pow B 6)))))))) |
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))) x) B) |
(- (+ (* B (+ (* 1/3 x) (* (pow B 2) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))) (* F (+ (* (* (pow B 3) (+ 7/360 (* 31/15120 (pow B 2)))) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x)))))))) (/ x B)) |
(- (+ (* B (+ (* 1/3 x) (* (pow B 2) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))) (* F (+ (* (* (pow B 3) (+ 7/360 (* 31/15120 (pow B 2)))) (sqrt (/ 1 (+ 2 (* 2 x))))) (+ (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (* (pow B 3) (+ 7/360 (* 31/15120 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* -1/2 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))))))) (/ x B)) |
(- (+ (* B (+ (* 1/3 x) (* (pow B 2) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))) (* F (+ (* (* (pow B 3) (+ 7/360 (* 31/15120 (pow B 2)))) (sqrt (/ 1 (+ 2 (* 2 x))))) (+ (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (* (pow B 3) (+ 7/360 (* 31/15120 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (+ (* -1/2 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* 3/8 (* (* (pow B 3) (+ 7/360 (* 31/15120 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))) (* 3/8 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))))))) (/ x B)) |
(/ (- (+ 1 (+ (* 1/6 (pow B 2)) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* 31/15120 (pow B 2)) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))))))) x) B) |
(- (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (* B (pow F 2)))) (+ (* -1/2 (/ (* (pow B 3) (* (+ 7/360 (* 31/15120 (pow B 2))) (+ 2 (* 2 x)))) (pow F 2))) (+ (* 1/6 B) (+ (* B (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* 31/15120 (pow B 2)) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))))) (/ 1 B))))) (/ x B)) |
(- (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (* B (pow F 2)))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (* B (pow F 4)))) (+ (* -1/2 (/ (* (pow B 3) (* (+ 7/360 (* 31/15120 (pow B 2))) (+ 2 (* 2 x)))) (pow F 2))) (+ (* -1/2 (/ (* (pow B 3) (* (+ 7/360 (* 31/15120 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow F 4))) (+ (* 1/6 B) (+ (* B (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* 31/15120 (pow B 2)) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))))) (/ 1 B))))))) (/ x B)) |
(- (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (* B (pow F 2)))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (* B (pow F 4)))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3))) (* B (pow F 6)))) (+ (* -1/2 (/ (* (pow B 3) (* (+ 7/360 (* 31/15120 (pow B 2))) (+ 2 (* 2 x)))) (pow F 2))) (+ (* -1/2 (/ (* (pow B 3) (* (+ 7/360 (* 31/15120 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow F 4))) (+ (* -1/2 (/ (* (pow B 3) (* (+ 7/360 (* 31/15120 (pow B 2))) (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)))) (pow F 6))) (+ (* 1/6 B) (+ (* B (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* 31/15120 (pow B 2)) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))))) (/ 1 B))))))))) (/ x B)) |
(/ (- (+ (* -1 (+ 1 (* 1/6 (pow B 2)))) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (- (+ (* -31/15120 (pow B 2)) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))) 7/360))))) x) B) |
(- (+ (* -1 (/ (+ 1 (* 1/6 (pow B 2))) B)) (+ (* -1/2 (/ (* (pow B 3) (* (+ 2 (* 2 x)) (- (* -31/15120 (pow B 2)) 7/360))) (pow F 2))) (+ (* 1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (* B (pow F 2)))) (* B (+ (* 1/3 x) (* (pow B 2) (- (+ (* -31/15120 (pow B 2)) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))) 7/360))))))) (/ x B)) |
(- (+ (* -1 (/ (+ 1 (* 1/6 (pow B 2))) B)) (+ (* -1/2 (/ (* (pow B 3) (* (+ 2 (* 2 x)) (- (* -31/15120 (pow B 2)) 7/360))) (pow F 2))) (+ (* -1/2 (/ (* (pow B 3) (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- (* -31/15120 (pow B 2)) 7/360))) (pow F 4))) (+ (* 1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (* B (pow F 2)))) (+ (* 1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (* B (pow F 4)))) (* B (+ (* 1/3 x) (* (pow B 2) (- (+ (* -31/15120 (pow B 2)) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))) 7/360))))))))) (/ x B)) |
(- (+ (* -1 (/ (+ 1 (* 1/6 (pow B 2))) B)) (+ (* -1/2 (/ (* (pow B 3) (* (+ 2 (* 2 x)) (- (* -31/15120 (pow B 2)) 7/360))) (pow F 2))) (+ (* -1/2 (/ (* (pow B 3) (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- (* -31/15120 (pow B 2)) 7/360))) (pow F 4))) (+ (* -1/2 (/ (* (pow B 3) (* (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (- (* -31/15120 (pow B 2)) 7/360))) (pow F 6))) (+ (* 1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (* B (pow F 2)))) (+ (* 1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (* B (pow F 4)))) (+ (* 1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3))) (* B (pow F 6)))) (* B (+ (* 1/3 x) (* (pow B 2) (- (+ (* -31/15120 (pow B 2)) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))) 7/360))))))))))) (/ x B)) |
(/ (+ (* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (+ 2 (pow F 2))))) (* (* (pow B 4) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F))) (sqrt (/ 1 (+ 2 (pow F 2)))))) B) |
(+ (* x (- (+ (* -1 (* (/ (* F (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* B (+ 1/3 (* (pow B 2) (+ 1/45 (+ (* -1 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F)))) (* 2/945 (pow B 2)))))))) (/ 1 B))) (+ (* (* (pow B 3) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F))) (sqrt (/ 1 (+ 2 (pow F 2))))) (* (/ (* F (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (+ 2 (pow F 2))))))) |
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(/ (* x (- (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (* 2/945 (pow B 2)))))) 1)) B) |
(* x (- (+ (* B (+ 1/3 (* (pow B 2) (+ 1/45 (* 2/945 (pow B 2)))))) (+ (* (* (pow B 3) (* (sqrt 1/2) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F)))) (sqrt (/ 1 (pow x 3)))) (* (/ (* F (* (sqrt 1/2) (+ 1 (* 1/6 (pow B 2))))) B) (sqrt (/ 1 (pow x 3)))))) (/ 1 B))) |
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(* -1 (/ (* x (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3)))) B)) |
(* -1 (* x (+ (* -1 (/ (+ (* (* (pow B 3) (* (sqrt -1) (* (sqrt -1/2) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F))))) (sqrt (/ 1 x))) (* (/ (* F (* (sqrt -1) (* (sqrt -1/2) (+ 1 (* 1/6 (pow B 2)))))) B) (sqrt (/ 1 x)))) x)) (+ (* B (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3)) (/ 1 B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (pow F 2))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* -1/8 (* (/ (* (pow B 3) (* (sqrt -1) (* (+ 2 (pow F 2)) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* (* (pow B 3) (* (sqrt -1) (* (sqrt -1/2) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F))))) (sqrt (/ 1 x))) (* (/ (* F (* (sqrt -1) (* (sqrt -1/2) (+ 1 (* 1/6 (pow B 2)))))) B) (sqrt (/ 1 x)))))) x)) (+ (* B (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3)) (/ 1 B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (* (+ 1 (* 1/6 (pow B 2))) (pow (+ 2 (pow F 2)) 2)))) (* B (sqrt -1/2))) (sqrt x))) (* -1/16 (* (/ (* (pow B 3) (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F))))) (sqrt -1/2)) (sqrt x)))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (pow F 2))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* -1/8 (* (/ (* (pow B 3) (* (sqrt -1) (* (+ 2 (pow F 2)) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* (* (pow B 3) (* (sqrt -1) (* (sqrt -1/2) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F))))) (sqrt (/ 1 x))) (* (/ (* F (* (sqrt -1) (* (sqrt -1/2) (+ 1 (* 1/6 (pow B 2)))))) B) (sqrt (/ 1 x))))))) x)) (+ (* B (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3)) (/ 1 B))))) |
(- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) |
(- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) |
(- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* 7/360 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/45 x))))))) x) |
(- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* 7/360 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/45 x) (* (pow B 2) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 2/945 x)))))))))) x) |
(* (pow B 6) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 2/945 x))) |
(* (pow B 6) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 2/945 x) (+ (* 7/360 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/45 (/ x (pow B 2))))))) |
(* (pow B 6) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 2/945 x) (+ (* 7/360 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/45 (/ x (pow B 2))) (+ (* 1/6 (* (/ F (pow B 4)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 (/ x (pow B 4))))))))) |
(* (pow B 6) (- (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 2/945 x) (+ (* 7/360 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/45 (/ x (pow B 2))) (+ (* 1/6 (* (/ F (pow B 4)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 (/ x (pow B 4))) (* (/ F (pow B 6)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) (/ x (pow B 6)))) |
(* (pow B 6) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 2/945 x))) |
(* (pow B 6) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 2/945 x) (+ (* 7/360 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/45 (/ x (pow B 2))))))) |
(* (pow B 6) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 2/945 x) (+ (* 7/360 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/45 (/ x (pow B 2))) (+ (* 1/6 (* (/ F (pow B 4)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 (/ x (pow B 4))))))))) |
(* (pow B 6) (- (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 2/945 x) (+ (* 7/360 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/45 (/ x (pow B 2))) (+ (* 1/6 (* (/ F (pow B 4)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 (/ x (pow B 4))) (* (/ F (pow B 6)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) (/ x (pow B 6)))) |
(- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))) x) |
(- (+ (* F (+ (* (* (pow B 4) (+ 7/360 (* 31/15120 (pow B 2)))) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))))) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x)))))) x) |
(- (+ (* F (+ (* (* (pow B 4) (+ 7/360 (* 31/15120 (pow B 2)))) (sqrt (/ 1 (+ 2 (* 2 x))))) (+ (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (* (pow B 4) (+ 7/360 (* 31/15120 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* -1/2 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))))))))) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x)))))) x) |
(- (+ (* F (+ (* (* (pow B 4) (+ 7/360 (* 31/15120 (pow B 2)))) (sqrt (/ 1 (+ 2 (* 2 x))))) (+ (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (* (pow B 4) (+ 7/360 (* 31/15120 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (+ (* -1/2 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* 3/8 (* (* (pow B 4) (+ 7/360 (* 31/15120 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))) (* 3/8 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))))) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x)))))) x) |
(- (+ 1 (+ (* 1/6 (pow B 2)) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* 31/15120 (pow B 2)) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))))))) x) |
(- (+ 1 (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (+ (* -1/2 (/ (* (pow B 4) (* (+ 7/360 (* 31/15120 (pow B 2))) (+ 2 (* 2 x)))) (pow F 2))) (+ (* 1/6 (pow B 2)) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* 31/15120 (pow B 2)) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))))))))) x) |
(- (+ 1 (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (+ (* -1/2 (/ (* (pow B 4) (* (+ 7/360 (* 31/15120 (pow B 2))) (+ 2 (* 2 x)))) (pow F 2))) (+ (* -1/2 (/ (* (pow B 4) (* (+ 7/360 (* 31/15120 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow F 4))) (+ (* 1/6 (pow B 2)) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* 31/15120 (pow B 2)) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))))))))))) x) |
(- (+ 1 (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3))) (pow F 6))) (+ (* -1/2 (/ (* (pow B 4) (* (+ 7/360 (* 31/15120 (pow B 2))) (+ 2 (* 2 x)))) (pow F 2))) (+ (* -1/2 (/ (* (pow B 4) (* (+ 7/360 (* 31/15120 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow F 4))) (+ (* -1/2 (/ (* (pow B 4) (* (+ 7/360 (* 31/15120 (pow B 2))) (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)))) (pow F 6))) (+ (* 1/6 (pow B 2)) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* 31/15120 (pow B 2)) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))))))))))))) x) |
(- (+ (* -1 (+ 1 (* 1/6 (pow B 2)))) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (- (+ (* -31/15120 (pow B 2)) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))) 7/360))))) x) |
(- (+ (* -1 (+ 1 (* 1/6 (pow B 2)))) (+ (* -1/2 (/ (* (pow B 4) (* (+ 2 (* 2 x)) (- (* -31/15120 (pow B 2)) 7/360))) (pow F 2))) (+ (* 1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (- (+ (* -31/15120 (pow B 2)) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))) 7/360))))))) x) |
(- (+ (* -1 (+ 1 (* 1/6 (pow B 2)))) (+ (* -1/2 (/ (* (pow B 4) (* (+ 2 (* 2 x)) (- (* -31/15120 (pow B 2)) 7/360))) (pow F 2))) (+ (* -1/2 (/ (* (pow B 4) (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- (* -31/15120 (pow B 2)) 7/360))) (pow F 4))) (+ (* 1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (+ (* 1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (- (+ (* -31/15120 (pow B 2)) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))) 7/360))))))))) x) |
(- (+ (* -1 (+ 1 (* 1/6 (pow B 2)))) (+ (* -1/2 (/ (* (pow B 4) (* (+ 2 (* 2 x)) (- (* -31/15120 (pow B 2)) 7/360))) (pow F 2))) (+ (* -1/2 (/ (* (pow B 4) (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- (* -31/15120 (pow B 2)) 7/360))) (pow F 4))) (+ (* -1/2 (/ (* (pow B 4) (* (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (- (* -31/15120 (pow B 2)) 7/360))) (pow F 6))) (+ (* 1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (+ (* 1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (+ (* 1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3))) (pow F 6))) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (- (+ (* -31/15120 (pow B 2)) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))) 7/360))))))))))) x) |
(+ (* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (+ 2 (pow F 2))))) (* (* (pow B 4) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F))) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (+ (* -1 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F)))) (* 2/945 (pow B 2)))))))) 1)) (+ (* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (+ 2 (pow F 2))))) (* (* (pow B 4) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F))) (sqrt (/ 1 (+ 2 (pow F 2))))))) |
(+ (* x (- (+ (* -1 (* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* x (+ (* 3/2 (* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))) (* 3/2 (* (* (pow B 4) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (+ (* -1 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F)))) (* 2/945 (pow B 2))))))))) 1)) (+ (* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (+ 2 (pow F 2))))) (* (* (pow B 4) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F))) (sqrt (/ 1 (+ 2 (pow F 2))))))) |
(+ (* x (- (+ (* -1 (* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* x (+ (* 3/2 (* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))) (+ (* 3/2 (* (* (pow B 4) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))) (* x (+ (* -5/2 (* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* -5/2 (* (* (pow B 4) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7)))))))))) (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (+ (* -1 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F)))) (* 2/945 (pow B 2))))))))) 1)) (+ (* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (+ 2 (pow F 2))))) (* (* (pow B 4) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F))) (sqrt (/ 1 (+ 2 (pow F 2))))))) |
(* x (- (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (* 2/945 (pow B 2)))))) 1)) |
(* x (- (+ (* (* F (* (sqrt 1/2) (+ 1 (* 1/6 (pow B 2))))) (sqrt (/ 1 (pow x 3)))) (+ (* (* (pow B 4) (* (sqrt 1/2) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F)))) (sqrt (/ 1 (pow x 3)))) (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (* 2/945 (pow B 2)))))))) 1)) |
(* x (- (+ (* -1/8 (* (/ (* F (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (pow F 2)))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* -1/8 (* (/ (* (pow B 4) (* (+ 2 (pow F 2)) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F)))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* (* F (* (sqrt 1/2) (+ 1 (* 1/6 (pow B 2))))) (sqrt (/ 1 (pow x 3)))) (+ (* (* (pow B 4) (* (sqrt 1/2) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F)))) (sqrt (/ 1 (pow x 3)))) (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (* 2/945 (pow B 2)))))))))) 1)) |
(* x (- (+ (* -1/8 (* (/ (* F (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (pow F 2)))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* -1/8 (* (/ (* (pow B 4) (* (+ 2 (pow F 2)) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F)))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (* (+ 1 (* 1/6 (pow B 2))) (pow (+ 2 (pow F 2)) 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (+ (* 1/16 (* (/ (* (pow B 4) (* (pow (+ 2 (pow F 2)) 2) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F)))) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (+ (* (* F (* (sqrt 1/2) (+ 1 (* 1/6 (pow B 2))))) (sqrt (/ 1 (pow x 3)))) (+ (* (* (pow B 4) (* (sqrt 1/2) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F)))) (sqrt (/ 1 (pow x 3)))) (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (* 2/945 (pow B 2)))))))))))) 1)) |
(* -1 (* x (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ (* (* F (* (sqrt -1) (* (sqrt -1/2) (+ 1 (* 1/6 (pow B 2)))))) (sqrt (/ 1 x))) (* (* (pow B 4) (* (sqrt -1) (* (sqrt -1/2) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F))))) (sqrt (/ 1 x)))) x)) (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3)))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (pow F 2))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* -1/8 (* (/ (* (pow B 4) (* (sqrt -1) (* (+ 2 (pow F 2)) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* (* F (* (sqrt -1) (* (sqrt -1/2) (+ 1 (* 1/6 (pow B 2)))))) (sqrt (/ 1 x))) (* (* (pow B 4) (* (sqrt -1) (* (sqrt -1/2) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F))))) (sqrt (/ 1 x)))))) x)) (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3)))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (* (+ 1 (* 1/6 (pow B 2))) (pow (+ 2 (pow F 2)) 2)))) (sqrt -1/2)) (sqrt x))) (* -1/16 (* (/ (* (pow B 4) (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F))))) (sqrt -1/2)) (sqrt x)))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (pow F 2))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* -1/8 (* (/ (* (pow B 4) (* (sqrt -1) (* (+ 2 (pow F 2)) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* (* F (* (sqrt -1) (* (sqrt -1/2) (+ 1 (* 1/6 (pow B 2)))))) (sqrt (/ 1 x))) (* (* (pow B 4) (* (sqrt -1) (* (sqrt -1/2) (+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F))))) (sqrt (/ 1 x))))))) x)) (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3)))))) |
(* x (- (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (* 2/945 (pow B 2)))))) 1)) |
(* x (- (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (* 2/945 (pow B 2)))))) 1)) |
(* x (- (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (* 2/945 (pow B 2)))))) 1)) |
(* x (- (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (* 2/945 (pow B 2)))))) 1)) |
(* x (- (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (* 2/945 (pow B 2)))))) 1)) |
(* x (- (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (* 2/945 (pow B 2)))))) 1)) |
(* x (- (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (* 2/945 (pow B 2)))))) 1)) |
(* x (- (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (* 2/945 (pow B 2)))))) 1)) |
(* x (- (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (* 2/945 (pow B 2)))))) 1)) |
(* x (- (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (* 2/945 (pow B 2)))))) 1)) |
(* x (- (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (* 2/945 (pow B 2)))))) 1)) |
(* x (- (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (* 2/945 (pow B 2)))))) 1)) |
(* -1 x) |
(+ (* -1 x) (* 1/3 (* (pow B 2) x))) |
(+ (* -1 x) (* (pow B 2) (+ (* 1/45 (* (pow B 2) x)) (* 1/3 x)))) |
(+ (* -1 x) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x)))))) |
(* 2/945 (* (pow B 6) x)) |
(* (pow B 6) (+ (* 2/945 x) (* 1/45 (/ x (pow B 2))))) |
(* (pow B 6) (+ (* 2/945 x) (+ (* 1/45 (/ x (pow B 2))) (* 1/3 (/ x (pow B 4)))))) |
(* (pow B 6) (+ (* -1 (/ x (pow B 6))) (+ (* 2/945 x) (+ (* 1/45 (/ x (pow B 2))) (* 1/3 (/ x (pow B 4))))))) |
(* 2/945 (* (pow B 6) x)) |
(* (pow B 6) (+ (* 2/945 x) (* 1/45 (/ x (pow B 2))))) |
(* (pow B 6) (+ (* 2/945 x) (+ (* 1/45 (/ x (pow B 2))) (* 1/3 (/ x (pow B 4)))))) |
(* (pow B 6) (+ (* -1 (/ x (pow B 6))) (+ (* 2/945 x) (+ (* 1/45 (/ x (pow B 2))) (* 1/3 (/ x (pow B 4))))))) |
1/2 |
(+ 1/2 (* -1/2 x)) |
(+ 1/2 (* x (- (* 1/2 x) 1/2))) |
(+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2))) |
(/ 1/2 x) |
(/ (- 1/2 (* 1/2 (/ 1 x))) x) |
(/ (- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x))) x) |
(/ (- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))) x) |
(/ 1/2 x) |
(* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x)) |
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(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
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(* F (sqrt (/ 1 (+ 2 (pow F 2))))) |
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(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) 1))) |
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(* -1 x) |
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(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) 1)) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))))) 1)) |
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(* -1 (/ (* x (cos B)) (sin B))) |
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(- (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) (/ (* x (cos B)) (sin B))) |
(- (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) (/ (* x (cos B)) (sin B))) |
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(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) (/ (* x (cos B)) (sin B))) |
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(* -1 (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
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(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* x (- (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))) (/ (cos B) (sin B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
(/ 1 (sin B)) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) |
(/ -1 (sin B)) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (/ 1 (sin B))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (/ 1 (sin B))) |
(* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B) |
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* -1 (* (* (pow B 2) (+ (* -1/36 F) (* 1/120 F))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))) B) |
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (* -1 (* (* (pow B 2) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F)))))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) B) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* -1 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))))) |
(+ (* -1/2 (* (/ (* F (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))))) |
(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(* B (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) |
(* B (+ (sqrt (+ 2 (+ (* 2 x) (pow F 2)))) (* -1/6 (* (pow B 2) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))))) |
(* B (+ (sqrt (+ 2 (+ (* 2 x) (pow F 2)))) (* (pow B 2) (+ (* -1/6 (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) (* 1/120 (* (pow B 2) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))))))) |
(* B (+ (sqrt (+ 2 (+ (* 2 x) (pow F 2)))) (* (pow B 2) (+ (* -1/6 (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) (* (pow B 2) (+ (* -1/5040 (* (pow B 2) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))) (* 1/120 (sqrt (+ 2 (+ (* 2 x) (pow F 2))))))))))) |
(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) |
(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) |
(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) |
(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) |
(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) |
(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) |
(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) |
(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) |
(* (sin B) (sqrt (+ 2 (pow F 2)))) |
(+ (* (sin B) (sqrt (+ 2 (pow F 2)))) (* (* x (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1/2 (* (* x (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt (/ 1 (+ 2 (pow F 2))))))) (* (sin B) (sqrt (+ 2 (pow F 2))))) |
(+ (* x (+ (* x (+ (* -1/2 (* (sin B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 1/2 (* (* x (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (sin B) (sqrt (/ 1 (+ 2 (pow F 2))))))) (* (sin B) (sqrt (+ 2 (pow F 2))))) |
(* (sqrt x) (* (sin B) (sqrt 2))) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (+ 2 (pow F 2))) (sqrt 2)))) (* (sqrt (/ 1 x)) (* (sin B) (sqrt 2))))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sin B) (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (+ 2 (pow F 2))) (sqrt 2)))) (* (sqrt (/ 1 x)) (* (sin B) (sqrt 2)))))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sin B) (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (* (sin B) (pow (+ 2 (pow F 2)) 3)) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (+ 2 (pow F 2))) (sqrt 2)))) (* (sqrt (/ 1 x)) (* (sin B) (sqrt 2))))))) |
(* -1 (* (sqrt x) (* (sin B) (* (sqrt -2) (sqrt -1))))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sin B) (* (sqrt -2) (sqrt -1))))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sin B) (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sin B) (* (sqrt -2) (sqrt -1)))))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sin B) (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (* (sin B) (* (sqrt -1) (pow (+ 2 (pow F 2)) 3))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sin B) (* (sqrt -2) (sqrt -1))))))))) |
(* (sin B) (sqrt (+ 2 (* 2 x)))) |
(+ (* 1/2 (* (* (pow F 2) (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))) (* (sin B) (sqrt (+ 2 (* 2 x))))) |
(+ (* (sin B) (sqrt (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/8 (* (* (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 1/2 (* (sin B) (sqrt (/ 1 (+ 2 (* 2 x))))))))) |
(+ (* (sin B) (sqrt (+ 2 (* 2 x)))) (* (pow F 2) (+ (* 1/2 (* (sin B) (sqrt (/ 1 (+ 2 (* 2 x)))))) (* (pow F 2) (+ (* -1/8 (* (sin B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 1/16 (* (* (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(* F (sin B)) |
(* F (+ (sin B) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2))))) |
(* F (+ (sin B) (+ (* -1/8 (/ (* (sin B) (pow (+ 2 (* 2 x)) 2)) (pow F 4))) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2)))))) |
(* F (+ (sin B) (+ (* -1/8 (/ (* (sin B) (pow (+ 2 (* 2 x)) 2)) (pow F 4))) (+ (* 1/16 (/ (* (sin B) (pow (+ 2 (* 2 x)) 3)) (pow F 6))) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2))))))) |
(* -1 (* F (sin B))) |
(* -1 (* F (+ (sin B) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2)))))) |
(* -1 (* F (+ (sin B) (+ (* -1/8 (/ (* (sin B) (pow (+ 2 (* 2 x)) 2)) (pow F 4))) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2))))))) |
(* -1 (* F (+ (sin B) (+ (* -1/8 (/ (* (sin B) (pow (+ 2 (* 2 x)) 2)) (pow F 4))) (+ (* 1/16 (/ (* (sin B) (pow (+ 2 (* 2 x)) 3)) (pow F 6))) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2)))))))) |
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)) |
4 |
(+ 4 (* 8 x)) |
(+ 4 (* x (+ 8 (* 4 x)))) |
(+ 4 (* x (+ 8 (* 4 x)))) |
(* 4 (pow x 2)) |
(* (pow x 2) (+ 4 (* 8 (/ 1 x)))) |
(* (pow x 2) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2))))) |
(* (pow x 2) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2))))) |
(* 4 (pow x 2)) |
(* (pow x 2) (+ 4 (* 8 (/ 1 x)))) |
(* (pow x 2) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2))))) |
(* (pow x 2) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2))))) |
(sqrt (/ 1 (+ 2 (pow F 2)))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* -1 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* 3/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* x (+ (* -5/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) |
(* (sqrt (/ 1 x)) (sqrt 1/2)) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))) (sqrt 1/2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))))) |
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))) |
(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (sqrt -1/2))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))) |
(sqrt (/ 1 (+ 2 (* 2 x)))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(/ 1 F) |
(/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F) |
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F) |
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F) |
(/ -1 F) |
(* -1 (/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F)) |
(sqrt 1/8) |
(+ (sqrt 1/8) (* -3/16 (/ x (sqrt 1/8)))) |
(+ (sqrt 1/8) (* x (- (* 1/2 (/ (* x (- 3/4 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (sqrt 1/8))) (* 3/16 (/ 1 (sqrt 1/8)))))) |
(+ (sqrt 1/8) (* x (- (* x (+ (* -1/2 (/ (* x (+ 5/4 (* -3/16 (/ (- 3/4 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2))))) (sqrt 1/8))) (* 1/2 (/ (- 3/4 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))))) (* 3/16 (/ 1 (sqrt 1/8)))))) |
(* (sqrt (/ 1 (pow x 3))) (sqrt 1/8)) |
(/ (+ (* -3/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt 1/8)))) (* (sqrt (/ 1 x)) (sqrt 1/8))) x) |
(/ (+ (* -3/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt 1/8)))) (+ (* 3/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt 1/8)))) (* (sqrt (/ 1 x)) (sqrt 1/8)))) x) |
(/ (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ 5/4 (* 9/256 (/ x (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) (+ (* -3/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt 1/8)))) (+ (* 3/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt 1/8)))) (* (sqrt (/ 1 x)) (sqrt 1/8))))) x) |
(* -1 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt -1/8)))) |
(* -1 (/ (+ (* -3/16 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt -1/8)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/8)))) x)) |
(* -1 (/ (+ (* -3/16 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt -1/8)))) (+ (* 3/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (sqrt -1/8)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/8))))) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -3/8 (* (sqrt x) (/ (sqrt -1) (sqrt -1/8)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (+ 5/4 (* -9/256 (/ x (pow (sqrt -1/8) 2))))) (sqrt -1/8))))) (pow x 3))) (+ (* -3/16 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt -1/8)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/8))))) x)) |
(/ (* 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)) |
| Outputs |
|---|
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
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(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))) |
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(* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
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(* F (sqrt (/ 1 (+ 2 (* 2 x))))) |
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1 |
#s(literal 1 binary64) |
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-1 |
#s(literal -1 binary64) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) 1) |
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(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4)))) 1) |
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(* F (sqrt (/ 1 (+ 2 (pow F 2))))) |
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(* (* F (sqrt 1/2)) (sqrt (/ 1 x))) |
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(* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))) |
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(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (sqrt -1/2)) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))) |
(-.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))) (*.f64 F (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 F (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 x (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (*.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))) #s(literal 1/16 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 F (*.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 x))) (sqrt.f64 #s(literal -1/2 binary64)))) (*.f64 x (*.f64 x x)))) |
(sqrt (+ 2 (pow F 2))) |
(sqrt.f64 (fma.f64 F F #s(literal 2 binary64))) |
(+ (sqrt (+ 2 (pow F 2))) (* x (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))) |
(+ (sqrt (+ 2 (pow F 2))) (* x (+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* -1/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))))))) |
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(+ (sqrt (+ 2 (pow F 2))) (* x (+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* 1/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))))) |
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(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 2)))) (* (sqrt (/ 1 x)) (sqrt 2)))) |
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(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 2)))) (* (sqrt (/ 1 x)) (sqrt 2))))) |
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(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow (+ 2 (pow F 2)) 3) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 2)))) (* (sqrt (/ 1 x)) (sqrt 2)))))) |
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(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
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(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1)))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))) (neg.f64 x)) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1))))))) |
(neg.f64 (*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64)))))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 3)) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1)))))))) |
(neg.f64 (*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (/.f64 (*.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 5 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))))))) |
(sqrt (+ 2 (* 2 x))) |
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) |
(+ (sqrt (+ 2 (* 2 x))) (* 1/2 (* (pow F 2) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) |
(+ (sqrt (+ 2 (* 2 x))) (* (pow F 2) (+ (* -1/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 1/2 (sqrt (/ 1 (+ 2 (* 2 x)))))))) |
(fma.f64 (*.f64 F F) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) |
(+ (sqrt (+ 2 (* 2 x))) (* (pow F 2) (+ (* 1/2 (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 1/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(fma.f64 (*.f64 F F) (fma.f64 (*.f64 F F) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) |
F |
(* F (+ 1 (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))))) |
(*.f64 F (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1 binary64))) |
(* F (+ 1 (+ (* -1/8 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2)))))) |
(+.f64 F (*.f64 F (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (pow.f64 F #s(literal 4 binary64)))))) |
(* F (+ 1 (+ (* -1/8 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 1/16 (/ (pow (+ 2 (* 2 x)) 3) (pow F 6))) (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))))))) |
(+.f64 F (*.f64 F (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (pow.f64 F #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (pow.f64 F #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (*.f64 F F)))))) |
(* -1 F) |
(neg.f64 F) |
(* -1 (* F (+ 1 (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2)))))) |
(neg.f64 (*.f64 F (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1 binary64)))) |
(* -1 (* F (+ 1 (+ (* -1/8 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))))))) |
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(* -1 (* F (+ 1 (+ (* -1/8 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 1/16 (/ (pow (+ 2 (* 2 x)) 3) (pow F 6))) (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2)))))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (pow.f64 F #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (pow.f64 F #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (*.f64 F F))))) (neg.f64 F)) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) |
(+ (* x (- (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
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(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
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(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
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(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B)))) |
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(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))) |
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(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))) (/ (cos B) (sin B)))) |
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(* -1 (/ (* x (cos B)) (sin B))) |
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(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* B (pow F 6)))) (/ 1 B)))) (/ x B)) |
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(* -1 (/ (+ 1 x) B)) |
(/.f64 (-.f64 #s(literal -1 binary64) x) B) |
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(* -1 (/ x B)) |
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(* -1 (/ x B)) |
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(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
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(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (neg.f64 x)) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (neg.f64 x)) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (neg.f64 x)) B) |
(* -1 x) |
(neg.f64 x) |
(- (* F (sqrt (/ 1 (+ 2 (* 2 x))))) x) |
(fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (neg.f64 x)) |
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))) x) |
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(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) x) |
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(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) x) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x)) |
(- (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) x) |
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(- (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) x) |
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(* -1 (+ 1 x)) |
(-.f64 #s(literal -1 binary64) x) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ 1 x)) |
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(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4)))) (+ 1 x)) |
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(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6))))) (+ 1 x)) |
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(* F (sqrt (/ 1 (+ 2 (pow F 2))))) |
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(* -1 x) |
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(* F (sqrt (/ 1 (+ 2 (* 2 x))))) |
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1 |
#s(literal 1 binary64) |
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-1 |
#s(literal -1 binary64) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) 1) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) #s(literal -1 binary64)) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4)))) 1) |
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(* F (sqrt (/ 1 (+ 2 (pow F 2))))) |
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(* (* F (sqrt 1/2)) (sqrt (/ 1 x))) |
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(* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))) |
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(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (neg.f64 x)) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
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(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
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(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
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(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (neg.f64 x)) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (neg.f64 x)) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (neg.f64 x)) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (neg.f64 x)) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (neg.f64 x)) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (neg.f64 x)) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (neg.f64 x)) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (neg.f64 x)) B) |
(* -1 x) |
(neg.f64 x) |
(- (* F (sqrt (/ 1 (+ 2 (* 2 x))))) x) |
(fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (neg.f64 x)) |
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))) x) |
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(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) x) |
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(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) x) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x)) |
(- (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) x) |
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(* -1 (+ 1 x)) |
(-.f64 #s(literal -1 binary64) x) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ 1 x)) |
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(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4)))) (+ 1 x)) |
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(* F (sqrt (/ 1 (+ 2 (pow F 2))))) |
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(* -1 x) |
(neg.f64 x) |
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(* -1 x) |
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(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))) x))))) |
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(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B) |
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(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B) |
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(/ 1 (sin B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
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(/ -1 (sin B)) |
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(* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
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(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
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(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
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(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
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(* B (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) |
(*.f64 B (sqrt.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) |
(* B (+ (sqrt (+ 2 (+ (* 2 x) (pow F 2)))) (* -1/6 (* (pow B 2) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))))) |
(*.f64 B (*.f64 (fma.f64 (*.f64 B B) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F)))))) |
(* B (+ (sqrt (+ 2 (+ (* 2 x) (pow F 2)))) (* (pow B 2) (+ (* -1/6 (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) (* 1/120 (* (pow B 2) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))))))) |
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(* B (+ (sqrt (+ 2 (+ (* 2 x) (pow F 2)))) (* (pow B 2) (+ (* -1/6 (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) (* (pow B 2) (+ (* -1/5040 (* (pow B 2) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))) (* 1/120 (sqrt (+ 2 (+ (* 2 x) (pow F 2))))))))))) |
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(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) |
(*.f64 (sin.f64 B) (sqrt.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) |
(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) |
(*.f64 (sin.f64 B) (sqrt.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) |
(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) |
(*.f64 (sin.f64 B) (sqrt.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) |
(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) |
(*.f64 (sin.f64 B) (sqrt.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) |
(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) |
(*.f64 (sin.f64 B) (sqrt.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) |
(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) |
(*.f64 (sin.f64 B) (sqrt.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) |
(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) |
(*.f64 (sin.f64 B) (sqrt.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) |
(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) |
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(* (sin B) (sqrt (+ 2 (pow F 2)))) |
(*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))) |
(+ (* (sin B) (sqrt (+ 2 (pow F 2)))) (* (* x (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
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(+ (* x (+ (* -1/2 (* (* x (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt (/ 1 (+ 2 (pow F 2))))))) (* (sin B) (sqrt (+ 2 (pow F 2))))) |
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(+ (* x (+ (* x (+ (* -1/2 (* (sin B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 1/2 (* (* x (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (sin B) (sqrt (/ 1 (+ 2 (pow F 2))))))) (* (sin B) (sqrt (+ 2 (pow F 2))))) |
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(* (sqrt x) (* (sin B) (sqrt 2))) |
(*.f64 (sqrt.f64 x) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal 2 binary64)))) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (+ 2 (pow F 2))) (sqrt 2)))) (* (sqrt (/ 1 x)) (* (sin B) (sqrt 2))))) |
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(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sin B) (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (+ 2 (pow F 2))) (sqrt 2)))) (* (sqrt (/ 1 x)) (* (sin B) (sqrt 2)))))) |
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(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sin B) (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (* (sin B) (pow (+ 2 (pow F 2)) 3)) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (+ 2 (pow F 2))) (sqrt 2)))) (* (sqrt (/ 1 x)) (* (sin B) (sqrt 2))))))) |
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(* -1 (* (sqrt x) (* (sin B) (* (sqrt -2) (sqrt -1))))) |
(*.f64 (*.f64 (sin.f64 B) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64)))) (neg.f64 (sqrt.f64 x))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sin B) (* (sqrt -2) (sqrt -1))))))) |
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(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sin B) (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sin B) (* (sqrt -2) (sqrt -1)))))))) |
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(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sin B) (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (* (sin B) (* (sqrt -1) (pow (+ 2 (pow F 2)) 3))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sin B) (* (sqrt -2) (sqrt -1))))))))) |
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(* (sin B) (sqrt (+ 2 (* 2 x)))) |
(*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) |
(+ (* 1/2 (* (* (pow F 2) (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))) (* (sin B) (sqrt (+ 2 (* 2 x))))) |
(fma.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 F F) (*.f64 (sin.f64 B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))) |
(+ (* (sin B) (sqrt (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/8 (* (* (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 1/2 (* (sin B) (sqrt (/ 1 (+ 2 (* 2 x))))))))) |
(fma.f64 (*.f64 F F) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sin.f64 B) (*.f64 F F))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(+ (* (sin B) (sqrt (+ 2 (* 2 x)))) (* (pow F 2) (+ (* 1/2 (* (sin B) (sqrt (/ 1 (+ 2 (* 2 x)))))) (* (pow F 2) (+ (* -1/8 (* (sin B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 1/16 (* (* (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(fma.f64 (*.f64 F F) (fma.f64 (*.f64 F F) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))) (*.f64 (sin.f64 B) (*.f64 F F))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(* F (sin B)) |
(*.f64 F (sin.f64 B)) |
(* F (+ (sin B) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2))))) |
(*.f64 F (fma.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F))) (sin.f64 B))) |
(* F (+ (sin B) (+ (* -1/8 (/ (* (sin B) (pow (+ 2 (* 2 x)) 2)) (pow F 4))) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2)))))) |
(*.f64 F (+.f64 (sin.f64 B) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sin.f64 B) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (pow.f64 F #s(literal 4 binary64)))))) |
(* F (+ (sin B) (+ (* -1/8 (/ (* (sin B) (pow (+ 2 (* 2 x)) 2)) (pow F 4))) (+ (* 1/16 (/ (* (sin B) (pow (+ 2 (* 2 x)) 3)) (pow F 6))) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2))))))) |
(*.f64 F (+.f64 (sin.f64 B) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sin.f64 B) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (pow.f64 F #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sin.f64 B) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (pow.f64 F #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)))))))) |
(* -1 (* F (sin B))) |
(neg.f64 (*.f64 F (sin.f64 B))) |
(* -1 (* F (+ (sin B) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2)))))) |
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(* -1 (* F (+ (sin B) (+ (* -1/8 (/ (* (sin B) (pow (+ 2 (* 2 x)) 2)) (pow F 4))) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2))))))) |
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(* -1 (* F (+ (sin B) (+ (* -1/8 (/ (* (sin B) (pow (+ 2 (* 2 x)) 2)) (pow F 4))) (+ (* 1/16 (/ (* (sin B) (pow (+ 2 (* 2 x)) 3)) (pow F 6))) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2)))))))) |
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B |
(* B (+ 1 (* -1/6 (pow B 2)))) |
(*.f64 B (fma.f64 (*.f64 B B) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
(* B (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6)))) |
(*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(* B (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/120 (* -1/5040 (pow B 2)))) 1/6)))) |
(*.f64 B (fma.f64 (*.f64 B B) (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)) #s(literal 1 binary64))) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ x B) |
(/.f64 x B) |
(/ (+ x (* -1/3 (* (pow B 2) x))) B) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 B B)) 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) (fma.f64 (*.f64 B B) (*.f64 x #s(literal -1/45 binary64)) (*.f64 x #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) |
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(/ (* 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)) |
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(/ (* x (cos B)) (sin B)) |
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(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
4 |
#s(literal 4 binary64) |
(+ 4 (* 8 x)) |
(fma.f64 x #s(literal 8 binary64) #s(literal 4 binary64)) |
(+ 4 (* x (+ 8 (* 4 x)))) |
(fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 8 binary64)) #s(literal 4 binary64)) |
(+ 4 (* x (+ 8 (* 4 x)))) |
(fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 8 binary64)) #s(literal 4 binary64)) |
(* 4 (pow x 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 4 (* 8 (/ 1 x)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) x))) |
(* (pow x 2) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) x)) (/.f64 #s(literal 4 binary64) (*.f64 x x)))) |
(* (pow x 2) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) x)) (/.f64 #s(literal 4 binary64) (*.f64 x x)))) |
(* 4 (pow x 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 4 (* 8 (/ 1 x)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) x))) |
(* (pow x 2) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) x)) (/.f64 #s(literal 4 binary64) (*.f64 x x)))) |
(* (pow x 2) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) x)) (/.f64 #s(literal 4 binary64) (*.f64 x x)))) |
(sqrt (/ 1 (+ 2 (pow F 2)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* -1 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))))) |
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(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* 3/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) |
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(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* x (+ (* -5/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) |
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(* (sqrt (/ 1 x)) (sqrt 1/2)) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))) |
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(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2)))) |
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(+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))) (sqrt 1/2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))))) |
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(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))) |
(fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))) |
(fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))))) |
(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (sqrt -1/2))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))) |
(-.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 x (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (*.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))) #s(literal 1/16 binary64)))) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 x)) (*.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)))) (*.f64 x (*.f64 x x)))) |
(sqrt (/ 1 (+ 2 (* 2 x)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))) |
(fma.f64 (*.f64 F F) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (*.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(fma.f64 (*.f64 F F) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (*.f64 (*.f64 F F) (fma.f64 #s(literal 3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))) (*.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 7 binary64)))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(/ 1 F) |
(/.f64 #s(literal 1 binary64) F) |
(/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1 binary64)) F) |
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -3/4 binary64)) (pow.f64 F #s(literal 4 binary64)))) #s(literal 1 binary64)) F) |
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -3/4 binary64)) (pow.f64 F #s(literal 4 binary64)))) (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -3/4 binary64)))) (pow.f64 F #s(literal 6 binary64)))) #s(literal 1 binary64)) F) |
(/ -1 F) |
(/.f64 #s(literal -1 binary64) F) |
(* -1 (/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1 binary64)) (neg.f64 F)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -3/4 binary64)) (pow.f64 F #s(literal 4 binary64)))) #s(literal 1 binary64)) (neg.f64 F)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -3/4 binary64)) (pow.f64 F #s(literal 4 binary64)))) (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -3/4 binary64)))) (pow.f64 F #s(literal 6 binary64)))) #s(literal 1 binary64)) (neg.f64 F)) |
(sqrt 1/8) |
(sqrt.f64 #s(literal 1/8 binary64)) |
(+ (sqrt 1/8) (* -3/16 (/ x (sqrt 1/8)))) |
(fma.f64 #s(literal -3/16 binary64) (/.f64 x (sqrt.f64 #s(literal 1/8 binary64))) (sqrt.f64 #s(literal 1/8 binary64))) |
(+ (sqrt 1/8) (* x (- (* 1/2 (/ (* x (- 3/4 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (sqrt 1/8))) (* 3/16 (/ 1 (sqrt 1/8)))))) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 15/32 binary64) (sqrt.f64 #s(literal 1/8 binary64)))) (/.f64 #s(literal -3/16 binary64) (sqrt.f64 #s(literal 1/8 binary64)))) (sqrt.f64 #s(literal 1/8 binary64))) |
(+ (sqrt 1/8) (* x (- (* x (+ (* -1/2 (/ (* x (+ 5/4 (* -3/16 (/ (- 3/4 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2))))) (sqrt 1/8))) (* 1/2 (/ (- 3/4 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))))) (* 3/16 (/ 1 (sqrt 1/8)))))) |
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x #s(literal 35/64 binary64)) (sqrt.f64 #s(literal 1/8 binary64))) (/.f64 #s(literal 15/64 binary64) (sqrt.f64 #s(literal 1/8 binary64)))) (/.f64 #s(literal -3/16 binary64) (sqrt.f64 #s(literal 1/8 binary64)))) (sqrt.f64 #s(literal 1/8 binary64))) |
(* (sqrt (/ 1 (pow x 3))) (sqrt 1/8)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 #s(literal 1/8 binary64))) |
(/ (+ (* -3/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt 1/8)))) (* (sqrt (/ 1 x)) (sqrt 1/8))) x) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/8 binary64)) (*.f64 #s(literal -3/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 #s(literal 1/8 binary64))))) x) |
(/ (+ (* -3/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt 1/8)))) (+ (* 3/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt 1/8)))) (* (sqrt (/ 1 x)) (sqrt 1/8)))) x) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (fma.f64 #s(literal -3/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/8 binary64)))) x) |
(/ (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ 5/4 (* 9/256 (/ x (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) (+ (* -3/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt 1/8)))) (+ (* 3/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt 1/8)))) (* (sqrt (/ 1 x)) (sqrt 1/8))))) x) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (fma.f64 #s(literal 9/256 binary64) (/.f64 x #s(literal 1/8 binary64)) #s(literal 5/4 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (fma.f64 #s(literal -3/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/8 binary64))))) x) |
(* -1 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt -1/8)))) |
(neg.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/8 binary64)))) |
(* -1 (/ (+ (* -3/16 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt -1/8)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/8)))) x)) |
(/.f64 (fma.f64 #s(literal -3/16 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/8 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/8 binary64)))) (neg.f64 x)) |
(* -1 (/ (+ (* -3/16 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt -1/8)))) (+ (* 3/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (sqrt -1/8)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/8))))) x)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/8 binary64))) (fma.f64 #s(literal -3/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/8 binary64)))) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -3/8 (* (sqrt x) (/ (sqrt -1) (sqrt -1/8)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (+ 5/4 (* -9/256 (/ x (pow (sqrt -1/8) 2))))) (sqrt -1/8))))) (pow x 3))) (+ (* -3/16 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt -1/8)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/8))))) x)) |
(/.f64 (-.f64 (fma.f64 #s(literal -3/16 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/8 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/8 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -9/256 binary64) (/.f64 x #s(literal -1/8 binary64)) #s(literal 5/4 binary64)) (sqrt.f64 #s(literal -1/8 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/8 binary64)))) (*.f64 x (*.f64 x x)))) (neg.f64 x)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ x B) |
(/.f64 x B) |
(/ (+ x (* -1/3 (* (pow B 2) x))) B) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 B B)) 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) (fma.f64 (*.f64 B B) (*.f64 x #s(literal -1/45 binary64)) (*.f64 x #s(literal -1/3 binary64))) x) B) |
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (neg.f64 (fma.f64 x #s(literal 1/105 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64))))) (*.f64 x #s(literal -1/45 binary64))) (*.f64 x #s(literal -1/3 binary64))) x) B) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
| 4 726× | lower-fma.f32 |
| 4 710× | lower-fma.f64 |
| 4 674× | lower-*.f32 |
| 4 658× | lower-*.f64 |
| 2 220× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 108 | 789 |
| 0 | 152 | 743 |
| 1 | 670 | 711 |
| 2 | 5697 | 711 |
| 0 | 8189 | 673 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) |
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) |
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B)) |
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B) |
(-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) |
#s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (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)) |
(/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (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) |
#s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (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)))) |
(*.f64 x (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))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) |
(/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B) |
(fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) |
(/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) |
(*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) |
(sin.f64 B) |
(/.f64 x (tan.f64 B)) |
#s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))) |
#s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x)))))) |
#s(approx (/ x (tan B)) (/.f64 x B)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 (sin.f64 B) F))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 F (neg.f64 (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))))) |
(neg.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 (sin.f64 B)))) |
(neg.f64 (/.f64 (neg.f64 F) (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B)))) |
(neg.f64 (/.f64 (/.f64 (neg.f64 F) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (sin.f64 B))) |
(/.f64 F (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) |
(/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (sin.f64 B)) |
(/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 (neg.f64 (sin.f64 B)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 (sin.f64 B) F))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F) (sin.f64 B))) |
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(/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (sin.f64 B)) |
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(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F) (sin.f64 B))) |
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(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 x (*.f64 x #s(literal 4 binary64))))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 x (*.f64 x #s(literal 4 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 x (*.f64 x #s(literal 4 binary64)))))))) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sqrt.f64 #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 x (*.f64 x #s(literal 4 binary64)))))))) |
(pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 x (*.f64 x #s(literal 4 binary64))))) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 x (*.f64 x #s(literal 4 binary64))))) #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 x (*.f64 x #s(literal 4 binary64))))))) #s(literal 1/4 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 x (*.f64 x #s(literal 4 binary64)))))))) |
(*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 x (*.f64 x #s(literal 4 binary64))))) #s(literal -1/4 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 x (*.f64 x #s(literal 4 binary64))))) #s(literal -1/4 binary64))) |
#s(approx (/ x (tan B)) (/.f64 x B)) |
Compiled 45 531 to 3 107 computations (93.2% saved)
67 alts after pruning (65 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 136 | 27 | 1 163 |
| Fresh | 20 | 38 | 58 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 160 | 67 | 1 227 |
| Status | Accuracy | Program |
|---|---|---|
| 56.0% | (fma.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal -1 binary64) F)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 45.5% | (fma.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)) (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 71.8% | (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (*.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 B (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))))) | |
| 30.0% | (fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B)) F (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (tan.f64 B))) | |
| 31.5% | (fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 #s(approx (/ 1 (+ 2 (+ (* F F) (* 2 x)))) (/.f64 #s(literal 1/2 binary64) x))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 52.4% | (fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(approx (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) (/.f64 #s(literal -1 binary64) F)) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 49.4% | (fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) F))) F (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 55.9% | (fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) F (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 47.0% | (fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) #s(approx (/ (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) B) (/.f64 #s(literal 1 binary64) (*.f64 B F)))) F (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 47.4% | (/.f64 (fma.f64 (*.f64 F #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))) (neg.f64 (/.f64 (tan.f64 B) x)) (*.f64 (sin.f64 B) #s(literal 1 binary64))) (*.f64 (sin.f64 B) (neg.f64 (/.f64 (tan.f64 B) x)))) | |
| 58.6% | (-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (sin.f64 B)) #s(approx (/ x (tan B)) (/.f64 x B))) | |
| 53.8% | (-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) | |
| 57.5% | (-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) | |
| 58.6% | (-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) | |
| 36.4% | (-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (neg.f64 F)))) #s(approx (/ x (tan B)) (/.f64 x B))) | |
| 47.4% | (-.f64 (/.f64 F (*.f64 #s(approx (sin B) (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) | |
| 47.3% | (-.f64 (/.f64 F (*.f64 #s(approx (sin B) (*.f64 B (fma.f64 (*.f64 B B) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) | |
| 30.1% | (-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 F (sin.f64 B)))) #s(approx (/ x (tan B)) (/.f64 x B))) | |
| 47.3% | (-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 B (*.f64 (fma.f64 (*.f64 B B) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F)))))))) #s(approx (/ x (tan B)) (/.f64 x B))) | |
| 72.0% | (-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 B (sqrt.f64 (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))))) (/.f64 x (tan.f64 B))) | |
| 46.8% | (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 F (*.f64 B B)) F)) B)) #s(approx (/ x (tan B)) (/.f64 x B))) | |
| 33.8% | (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B))) | |
| 37.5% | (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B))) | |
| 25.4% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) | |
| 47.2% | #s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B)) | |
| 55.9% | #s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))) | |
| 28.6% | #s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) | |
| 12.8% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 x (*.f64 x x))) (*.f64 B (fma.f64 x (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))))) | |
| 32.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 x)) B)) | |
| 17.3% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) B)) | |
| 30.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 F (*.f64 (/.f64 F (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) | |
| 22.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 #s(approx (/ 1 (+ (* 2 x) 2)) #s(literal 1/2 binary64))))) (neg.f64 x)) B)) | |
| 24.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 #s(approx (/ 1 (* (+ (* 2 x) 2) (* (+ (* 2 x) 2) (+ (* 2 x) 2)))) (fma.f64 x (fma.f64 x #s(literal 3/4 binary64) #s(literal -3/8 binary64)) #s(literal 1/8 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) | |
| 29.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 #s(approx (/ 1 (* (+ (* 2 x) 2) (* (+ (* 2 x) 2) (+ (* 2 x) 2)))) #s(literal 1/8 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) | |
| 29.0% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) #s(approx (sqrt (/ 1 (* (+ (* 2 x) 2) (* (+ (* 2 x) 2) (+ (* 2 x) 2))))) (fma.f64 #s(literal -3/16 binary64) (/.f64 x (sqrt.f64 #s(literal 1/8 binary64))) (sqrt.f64 #s(literal 1/8 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) | |
| 28.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B)) | |
| 30.8% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B)) | |
| 17.3% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x)) B)) | |
| 12.8% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (fma.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) B)) | |
| 17.3% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))))) x) B)) | |
| 32.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) x) B)) | |
| 21.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (/.f64 B x)) (*.f64 B #s(literal 1 binary64))) (*.f64 B (/.f64 B x)))) | |
| 23.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 x B)) (*.f64 B B))) | |
| 21.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal -1 binary64))) x) B)) | |
| 23.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1 binary64))) x) B)) | |
| 28.3% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B)) | |
| ✓ | 30.8% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B)) |
| 12.8% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (fma.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) B)) (fma.f64 x (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)))))) | |
| 27.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (*.f64 B (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)))))) | |
| 27.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) B)) | |
| 24.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) | |
| 21.0% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) (*.f64 x (fma.f64 F (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)))) B)) | |
| 18.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B)) | |
| 30.0% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (fma.f64 (*.f64 B B) #s(literal -31/15120 binary64) #s(literal -7/360 binary64))) (*.f64 x #s(literal 1/3 binary64))) (-.f64 (neg.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) B)) | |
| 30.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (fma.f64 (*.f64 B B) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (neg.f64 x)))) B)) | |
| 30.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B)) | |
| 11.1% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) B)) | |
| 25.8% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B)) | |
| ✓ | 31.1% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)) |
| 31.0% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))))) | |
| 47.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 F (*.f64 B (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x B))) | |
| 30.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))) #s(literal -1 binary64)))) | |
| 31.0% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))) | |
| 29.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B)))) | |
| 31.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 F B) (/.f64 x (neg.f64 B))))) | |
| 40.1% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))))) (neg.f64 (/.f64 F B)) (/.f64 #s(literal -1 binary64) B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))) | |
| 20.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
Compiled 4 303 to 1 330 computations (69.1% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 x B)) (*.f64 B B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (*.f64 B (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (fma.f64 (*.f64 B B) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (neg.f64 x)))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal -1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B)) |
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B)) |
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (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)) |
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 F (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) B)) (neg.f64 (/.f64 x B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 F (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) B)) (/.f64 x (neg.f64 B))))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) #s(approx (/ (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) B) (/.f64 #s(literal 1 binary64) (*.f64 B F)))) F (/.f64 (neg.f64 x) (tan.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 7/360 binary64) (*.f64 F #s(literal 1/6 binary64))) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x))) B)) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(approx (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) (/.f64 #s(literal -1 binary64) F)) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B)))) |
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) |
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 #s(approx (/ 1 (+ 2 (+ (* F F) (* 2 x)))) (/.f64 #s(literal 1/2 binary64) x))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) |
(-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 B (sqrt.f64 (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))))) (/.f64 x (tan.f64 B))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 #s(approx (/ 1 (+ 2 (+ (* F F) (* 2 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (sin.f64 B)) #s(approx (/ x (tan B)) (/.f64 x B))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal -1/3 binary64) #s(literal 1 binary64)) B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (*.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 B (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x)) #s(literal -1 binary64)))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B)) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) F) F)) B))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B)) F (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (tan.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))) |
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))) |
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 (sin.f64 B) F))) (/.f64 x (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(approx (* F (pow (+ (* 2 x) (+ (* F F) 2)) -1/2)) #s(literal -1 binary64)) (sin.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(approx (* F (pow (+ (* 2 x) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) (sin.f64 B))) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (neg.f64 F)))) (/.f64 x (tan.f64 B))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 F (sin.f64 B)))) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 F (sin.f64 B)))) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) F))) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal -1 binary64) F)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) |
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
(fma.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))) |
(fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))) |
(fma.f64 F (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 B) F))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) F)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 B) F) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (*.f64 F #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))) (neg.f64 (/.f64 (tan.f64 B) x)) (*.f64 (sin.f64 B) #s(literal 1 binary64))) (*.f64 (sin.f64 B) (neg.f64 (/.f64 (tan.f64 B) x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (tan.f64 B) x)) (sin.f64 B)) (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x))) |
| Outputs |
|---|
(fma.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal -1 binary64) F)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
4 calls:
| 43.0ms | F |
| 40.0ms | x |
| 38.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
| 38.0ms | B |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 3 | F |
| 83.5% | 1 | B |
| 83.5% | 1 | x |
| 87.2% | 2 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
Compiled 42 to 29 computations (31% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)) |
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(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 (sin.f64 B) F))) (/.f64 x (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(approx (* F (pow (+ (* 2 x) (+ (* F F) 2)) -1/2)) #s(literal -1 binary64)) (sin.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(approx (* F (pow (+ (* 2 x) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) (sin.f64 B))) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (neg.f64 F)))) (/.f64 x (tan.f64 B))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 F (sin.f64 B)))) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 F (sin.f64 B)))) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) F))) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal -1 binary64) F)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) |
| Outputs |
|---|
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) |
1 calls:
| 35.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 3 | F |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 x B)) (*.f64 B B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (*.f64 B (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (fma.f64 (*.f64 B B) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (neg.f64 x)))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal -1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B)) |
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B)) |
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (/.f64 B x)) (*.f64 B #s(literal 1 binary64))) (*.f64 B (/.f64 B x)))) |
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 F (*.f64 B (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F B)) (/.f64 x B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 F B) (/.f64 x (neg.f64 B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (fma.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (fma.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) B)) (fma.f64 x (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)))))) |
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(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 #s(approx (/ 1 (+ 2 (+ (* F F) (* 2 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (sin.f64 B)) #s(approx (/ x (tan B)) (/.f64 x B))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal -1/3 binary64) #s(literal 1 binary64)) B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (*.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 B (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x)) #s(literal -1 binary64)))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B)) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) F) F)) B))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B)) F (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (tan.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))) |
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))) |
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 (sin.f64 B) F))) (/.f64 x (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(approx (* F (pow (+ (* 2 x) (+ (* F F) 2)) -1/2)) #s(literal -1 binary64)) (sin.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(approx (* F (pow (+ (* 2 x) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) (sin.f64 B))) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (neg.f64 F)))) (/.f64 x (tan.f64 B))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 F (sin.f64 B)))) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 F (sin.f64 B)))) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) F))) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal -1 binary64) F)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) |
| Outputs |
|---|
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 #s(approx (/ 1 (+ 2 (+ (* F F) (* 2 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B))) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) |
1 calls:
| 42.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.0% | 4 | F |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 x B)) (*.f64 B B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (*.f64 B (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (fma.f64 (*.f64 B B) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (neg.f64 x)))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal -1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) B)) |
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(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (neg.f64 F)))) #s(approx (/ x (tan B)) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 F (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) B)) (neg.f64 (/.f64 x B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 F (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) B)) (/.f64 x (neg.f64 B))))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) #s(approx (/ (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) B) (/.f64 #s(literal 1 binary64) (*.f64 B F)))) F (/.f64 (neg.f64 x) (tan.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 7/360 binary64) (*.f64 F #s(literal 1/6 binary64))) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x))) B)) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(approx (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) (/.f64 #s(literal -1 binary64) F)) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B)))) |
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) |
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 #s(approx (/ 1 (+ 2 (+ (* F F) (* 2 x)))) (/.f64 #s(literal 1/2 binary64) x))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) |
(-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 B (sqrt.f64 (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))))) (/.f64 x (tan.f64 B))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 #s(approx (/ 1 (+ 2 (+ (* F F) (* 2 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (sin.f64 B)) #s(approx (/ x (tan B)) (/.f64 x B))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal -1/3 binary64) #s(literal 1 binary64)) B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (*.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 B (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x)) #s(literal -1 binary64)))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B)) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) F) F)) B))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B)) F (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (tan.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))) |
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))) |
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 (sin.f64 B) F))) (/.f64 x (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(approx (* F (pow (+ (* 2 x) (+ (* F F) 2)) -1/2)) #s(literal -1 binary64)) (sin.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(approx (* F (pow (+ (* 2 x) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) (sin.f64 B))) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (neg.f64 F)))) (/.f64 x (tan.f64 B))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 F (sin.f64 B)))) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 F (sin.f64 B)))) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) F))) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal -1 binary64) F)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
| Outputs |
|---|
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 #s(approx (/ 1 (+ 2 (+ (* F F) (* 2 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) |
1 calls:
| 48.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.0% | 4 | F |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 x B)) (*.f64 B B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (*.f64 B (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (fma.f64 (*.f64 B B) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (neg.f64 x)))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) B)) |
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(approx (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360))))) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B)) |
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) (*.f64 x #s(literal 1/3 binary64))) (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) (neg.f64 x))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))) (*.f64 x #s(literal 1/3 binary64))) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))))) x) B)) |
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B)) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B))) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))))) (neg.f64 (/.f64 F B)) (/.f64 #s(literal -1 binary64) B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))) #s(literal -1 binary64)))) |
(-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 F (sin.f64 B)))) #s(approx (/ x (tan B)) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (fma.f64 (*.f64 F F) (+.f64 (/.f64 (*.f64 F F) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (neg.f64 F)))) #s(approx (/ x (tan B)) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 F (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) B)) (neg.f64 (/.f64 x B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 F (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) B)) (/.f64 x (neg.f64 B))))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) #s(approx (/ (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) B) (/.f64 #s(literal 1 binary64) (*.f64 B F)))) F (/.f64 (neg.f64 x) (tan.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 7/360 binary64) (*.f64 F #s(literal 1/6 binary64))) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x))) B)) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(approx (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) (/.f64 #s(literal -1 binary64) F)) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B)))) |
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) |
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 #s(approx (/ 1 (+ 2 (+ (* F F) (* 2 x)))) (/.f64 #s(literal 1/2 binary64) x))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) |
(-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 B (sqrt.f64 (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))))) (/.f64 x (tan.f64 B))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 #s(approx (/ 1 (+ 2 (+ (* F F) (* 2 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (sin.f64 B)) #s(approx (/ x (tan B)) (/.f64 x B))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal -1/3 binary64) #s(literal 1 binary64)) B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (*.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 B (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x)) #s(literal -1 binary64)))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B)) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) F) F)) B))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B)) F (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (tan.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))) |
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))) |
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) |
| Outputs |
|---|
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 #s(approx (/ 1 (+ 2 (+ (* F F) (* 2 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) #s(approx (/ (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) B) (/.f64 #s(literal 1 binary64) (*.f64 B F)))) F (/.f64 (neg.f64 x) (tan.f64 B))) |
2 calls:
| 31.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
| 29.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.0% | 4 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
| 90.3% | 4 | F |
Compiled 34 to 23 computations (32.4% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B)) |
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) #s(approx (sqrt (/ 1 (* (+ (* 2 x) 2) (* (+ (* 2 x) 2) (+ (* 2 x) 2))))) (fma.f64 #s(literal -3/16 binary64) (/.f64 x (sqrt.f64 #s(literal 1/8 binary64))) (sqrt.f64 #s(literal 1/8 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) x) (*.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/4 binary64))) (neg.f64 x)) #s(literal -1/2 binary64)) (neg.f64 x)))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (fma.f64 (*.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (neg.f64 (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 #s(approx (/ 1 (+ (* 2 x) 2)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(approx (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360))))) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B)) |
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) (*.f64 x #s(literal 1/3 binary64))) (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) (neg.f64 x))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))) (*.f64 x #s(literal 1/3 binary64))) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))))) x) B)) |
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B)) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B))) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))))) (neg.f64 (/.f64 F B)) (/.f64 #s(literal -1 binary64) B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))) #s(literal -1 binary64)))) |
(-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 F (sin.f64 B)))) #s(approx (/ x (tan B)) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (fma.f64 (*.f64 F F) (+.f64 (/.f64 (*.f64 F F) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (neg.f64 F)))) #s(approx (/ x (tan B)) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 F (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) B)) (neg.f64 (/.f64 x B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 F (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) B)) (/.f64 x (neg.f64 B))))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) #s(approx (/ (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) B) (/.f64 #s(literal 1 binary64) (*.f64 B F)))) F (/.f64 (neg.f64 x) (tan.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 7/360 binary64) (*.f64 F #s(literal 1/6 binary64))) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x))) B)) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(approx (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) (/.f64 #s(literal -1 binary64) F)) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B)))) |
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) |
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 #s(approx (/ 1 (+ 2 (+ (* F F) (* 2 x)))) (/.f64 #s(literal 1/2 binary64) x))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) |
(-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 B (sqrt.f64 (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))))) (/.f64 x (tan.f64 B))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 #s(approx (/ 1 (+ 2 (+ (* F F) (* 2 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (sin.f64 B)) #s(approx (/ x (tan B)) (/.f64 x B))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal -1/3 binary64) #s(literal 1 binary64)) B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (*.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 B (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x)) #s(literal -1 binary64)))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B)) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) F) F)) B))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B)) F (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (tan.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))) |
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))) |
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))) |
| Outputs |
|---|
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) #s(approx (/ (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) B) (/.f64 #s(literal 1 binary64) (*.f64 B F)))) F (/.f64 (neg.f64 x) (tan.f64 B))) |
3 calls:
| 33.0ms | B |
| 30.0ms | x |
| 28.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.7% | 3 | x |
| 72.0% | 1 | B |
| 84.6% | 4 | F |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)) |
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (*.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (neg.f64 (*.f64 x x))) (*.f64 B (+.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 F (*.f64 (/.f64 F (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 F F) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (fma.f64 (*.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (neg.f64 (*.f64 x x))) (+.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) #s(approx (sqrt (/ 1 (* (+ (* 2 x) 2) (* (+ (* 2 x) 2) (+ (* 2 x) 2))))) (fma.f64 #s(literal -3/16 binary64) (/.f64 x (sqrt.f64 #s(literal 1/8 binary64))) (sqrt.f64 #s(literal 1/8 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) x) (*.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/4 binary64))) (neg.f64 x)) #s(literal -1/2 binary64)) (neg.f64 x)))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (fma.f64 (*.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (neg.f64 (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 #s(approx (/ 1 (+ (* 2 x) 2)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(approx (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360))))) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B)) |
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) (*.f64 x #s(literal 1/3 binary64))) (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) (neg.f64 x))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))) (*.f64 x #s(literal 1/3 binary64))) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))))) x) B)) |
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B)) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B))) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))))) (neg.f64 (/.f64 F B)) (/.f64 #s(literal -1 binary64) B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))) #s(literal -1 binary64)))) |
(-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 F (sin.f64 B)))) #s(approx (/ x (tan B)) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (fma.f64 (*.f64 F F) (+.f64 (/.f64 (*.f64 F F) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (neg.f64 F)))) #s(approx (/ x (tan B)) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 F (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) B)) (neg.f64 (/.f64 x B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 F (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) B)) (/.f64 x (neg.f64 B))))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) #s(approx (/ (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) B) (/.f64 #s(literal 1 binary64) (*.f64 B F)))) F (/.f64 (neg.f64 x) (tan.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 7/360 binary64) (*.f64 F #s(literal 1/6 binary64))) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x))) B)) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(approx (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) (/.f64 #s(literal -1 binary64) F)) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B)))) |
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) |
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 #s(approx (/ 1 (+ 2 (+ (* F F) (* 2 x)))) (/.f64 #s(literal 1/2 binary64) x))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) |
(-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 B (sqrt.f64 (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))))) (/.f64 x (tan.f64 B))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 #s(approx (/ 1 (+ 2 (+ (* F F) (* 2 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (sin.f64 B)) #s(approx (/ x (tan B)) (/.f64 x B))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal -1/3 binary64) #s(literal 1 binary64)) B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (*.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 B (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x)) #s(literal -1 binary64)))) |
| Outputs |
|---|
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B))) |
(-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 B (sqrt.f64 (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))))) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) #s(approx (/ (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) B) (/.f64 #s(literal 1 binary64) (*.f64 B F)))) F (/.f64 (neg.f64 x) (tan.f64 B))) |
1 calls:
| 26.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.6% | 4 | F |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))) |
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 F F) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (fma.f64 (*.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (neg.f64 (*.f64 x x))) (+.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) #s(approx (sqrt (/ 1 (* (+ (* 2 x) 2) (* (+ (* 2 x) 2) (+ (* 2 x) 2))))) (fma.f64 #s(literal -3/16 binary64) (/.f64 x (sqrt.f64 #s(literal 1/8 binary64))) (sqrt.f64 #s(literal 1/8 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) x) (*.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/4 binary64))) (neg.f64 x)) #s(literal -1/2 binary64)) (neg.f64 x)))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (fma.f64 (*.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (neg.f64 (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 #s(approx (/ 1 (+ (* 2 x) 2)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(approx (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360))))) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B)) |
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) (*.f64 x #s(literal 1/3 binary64))) (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) (neg.f64 x))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))) (*.f64 x #s(literal 1/3 binary64))) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))))) x) B)) |
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B)) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B))) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))))) (neg.f64 (/.f64 F B)) (/.f64 #s(literal -1 binary64) B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))) #s(literal -1 binary64)))) |
(-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 F (sin.f64 B)))) #s(approx (/ x (tan B)) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (fma.f64 (*.f64 F F) (+.f64 (/.f64 (*.f64 F F) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (neg.f64 F)))) #s(approx (/ x (tan B)) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 F (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) B)) (neg.f64 (/.f64 x B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 F (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) B)) (/.f64 x (neg.f64 B))))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) #s(approx (/ (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) B) (/.f64 #s(literal 1 binary64) (*.f64 B F)))) F (/.f64 (neg.f64 x) (tan.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 7/360 binary64) (*.f64 F #s(literal 1/6 binary64))) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x))) B)) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(approx (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) (/.f64 #s(literal -1 binary64) F)) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B)))) |
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) |
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 #s(approx (/ 1 (+ 2 (+ (* F F) (* 2 x)))) (/.f64 #s(literal 1/2 binary64) x))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) |
| Outputs |
|---|
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(approx (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) (/.f64 #s(literal -1 binary64) F)) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) #s(approx (/ (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) B) (/.f64 #s(literal 1 binary64) (*.f64 B F)))) F (/.f64 (neg.f64 x) (tan.f64 B))) |
3 calls:
| 105.0ms | F |
| 53.0ms | x |
| 28.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.0% | 3 | x |
| 70.9% | 3 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
| 79.0% | 3 | F |
Compiled 38 to 26 computations (31.6% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 x B)) (*.f64 B B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (*.f64 B (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B)) |
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 #s(approx (/ 1 (+ (* 2 x) 2)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(approx (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360))))) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B)) |
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) (*.f64 x #s(literal 1/3 binary64))) (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) (neg.f64 x))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))) (*.f64 x #s(literal 1/3 binary64))) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))))) x) B)) |
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B)) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B))) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))))) (neg.f64 (/.f64 F B)) (/.f64 #s(literal -1 binary64) B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))) #s(literal -1 binary64)))) |
(-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 F (sin.f64 B)))) #s(approx (/ x (tan B)) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (fma.f64 (*.f64 F F) (+.f64 (/.f64 (*.f64 F F) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (neg.f64 F)))) #s(approx (/ x (tan B)) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 F (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) B)) (neg.f64 (/.f64 x B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 F (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) B)) (/.f64 x (neg.f64 B))))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) #s(approx (/ (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) B) (/.f64 #s(literal 1 binary64) (*.f64 B F)))) F (/.f64 (neg.f64 x) (tan.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 7/360 binary64) (*.f64 F #s(literal 1/6 binary64))) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x))) B)) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(approx (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) (/.f64 #s(literal -1 binary64) F)) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B)))) |
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) |
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) |
| Outputs |
|---|
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B))) |
(-.f64 (/.f64 F (*.f64 #s(approx (sin B) (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) |
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) #s(approx (/ (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) B) (/.f64 #s(literal 1 binary64) (*.f64 B F)))) F (/.f64 (neg.f64 x) (tan.f64 B))) |
3 calls:
| 26.0ms | x |
| 25.0ms | F |
| 22.0ms | B |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.0% | 2 | B |
| 71.0% | 4 | x |
| 74.8% | 4 | F |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 x B)) (*.f64 B B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (*.f64 B (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (fma.f64 (*.f64 B B) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (neg.f64 x)))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal -1 binary64))) x) B)) |
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#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))) (*.f64 x #s(literal 1/3 binary64))) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))))) x) B)) |
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B)) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B))) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))))) (neg.f64 (/.f64 F B)) (/.f64 #s(literal -1 binary64) B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))) #s(literal -1 binary64)))) |
(-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 F (sin.f64 B)))) #s(approx (/ x (tan B)) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (fma.f64 (*.f64 F F) (+.f64 (/.f64 (*.f64 F F) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (neg.f64 F)))) #s(approx (/ x (tan B)) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 F (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) B)) (neg.f64 (/.f64 x B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 F (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) B)) (/.f64 x (neg.f64 B))))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) #s(approx (/ (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) B) (/.f64 #s(literal 1 binary64) (*.f64 B F)))) F (/.f64 (neg.f64 x) (tan.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 7/360 binary64) (*.f64 F #s(literal 1/6 binary64))) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x))) B)) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(approx (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) (/.f64 #s(literal -1 binary64) F)) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B)))) |
| Outputs |
|---|
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B))) |
(-.f64 (/.f64 F (*.f64 #s(approx (sin B) (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B)))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) #s(approx (/ (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) B) (/.f64 #s(literal 1 binary64) (*.f64 B F)))) F (/.f64 (neg.f64 x) (tan.f64 B))) |
1 calls:
| 21.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.8% | 4 | F |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 x B)) (*.f64 B B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (*.f64 B (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (fma.f64 (*.f64 B B) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (neg.f64 x)))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal -1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (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)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))))) x) B)) |
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 F (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) B)) (/.f64 x (neg.f64 B))))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) #s(approx (/ (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) B) (/.f64 #s(literal 1 binary64) (*.f64 B F)))) F (/.f64 (neg.f64 x) (tan.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 7/360 binary64) (*.f64 F #s(literal 1/6 binary64))) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x))) B)) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(approx (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) (/.f64 #s(literal -1 binary64) F)) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
| Outputs |
|---|
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B))) |
(-.f64 (/.f64 F (*.f64 #s(approx (sin B) (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) #s(approx (/ (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) B) (/.f64 #s(literal 1 binary64) (*.f64 B F)))) F (/.f64 (neg.f64 x) (tan.f64 B))) |
1 calls:
| 21.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.5% | 3 | F |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 x B)) (*.f64 B B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (*.f64 B (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (fma.f64 (*.f64 B B) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (neg.f64 x)))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal -1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (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)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (/.f64 B x)) (*.f64 B #s(literal 1 binary64))) (*.f64 B (/.f64 B x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 x (*.f64 x x))) (*.f64 B (fma.f64 x (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 F (*.f64 B (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F B)) (/.f64 x B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 F B) (/.f64 x (neg.f64 B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (fma.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (fma.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) B)) (fma.f64 x (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) (*.f64 x (fma.f64 F (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)))) B)) |
(-.f64 (/.f64 F (*.f64 #s(approx (sin B) (*.f64 B (fma.f64 (*.f64 B B) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) |
(-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 B (*.f64 (fma.f64 (*.f64 B B) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F)))))))) #s(approx (/ x (tan B)) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 #s(approx (/ 1 (* (+ (* 2 x) 2) (* (+ (* 2 x) 2) (+ (* 2 x) 2)))) #s(literal 1/8 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (-.f64 (fma.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 B B) (+.f64 (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64)) x)) B)) |
(-.f64 (/.f64 F (*.f64 #s(approx (sin B) (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 F (*.f64 B B)) F)) B)) #s(approx (/ x (tan B)) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (fma.f64 (*.f64 B B) #s(literal -31/15120 binary64) #s(literal -7/360 binary64))) (*.f64 x #s(literal 1/3 binary64))) (-.f64 (neg.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 #s(approx (/ 1 (* (+ (* 2 x) 2) (* (+ (* 2 x) 2) (+ (* 2 x) 2)))) (fma.f64 x (fma.f64 x #s(literal 3/4 binary64) #s(literal -3/8 binary64)) #s(literal 1/8 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) F) F) (-.f64 (*.f64 (*.f64 x (*.f64 B B)) #s(literal 1/3 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 #s(approx (/ 1 (+ (* 2 x) 2)) #s(literal 1/2 binary64))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (*.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (neg.f64 (*.f64 x x))) (*.f64 B (+.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 F (*.f64 (/.f64 F (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 F F) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (fma.f64 (*.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (neg.f64 (*.f64 x x))) (+.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) #s(approx (sqrt (/ 1 (* (+ (* 2 x) 2) (* (+ (* 2 x) 2) (+ (* 2 x) 2))))) (fma.f64 #s(literal -3/16 binary64) (/.f64 x (sqrt.f64 #s(literal 1/8 binary64))) (sqrt.f64 #s(literal 1/8 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) x) (*.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/4 binary64))) (neg.f64 x)) #s(literal -1/2 binary64)) (neg.f64 x)))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (fma.f64 (*.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (neg.f64 (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 #s(approx (/ 1 (+ (* 2 x) 2)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(approx (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360))))) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B)) |
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) (*.f64 x #s(literal 1/3 binary64))) (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) (neg.f64 x))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))) (*.f64 x #s(literal 1/3 binary64))) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))))) x) B)) |
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B)) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B))) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))))) (neg.f64 (/.f64 F B)) (/.f64 #s(literal -1 binary64) B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))) #s(literal -1 binary64)))) |
(-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 F (sin.f64 B)))) #s(approx (/ x (tan B)) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (fma.f64 (*.f64 F F) (+.f64 (/.f64 (*.f64 F F) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (neg.f64 F)))) #s(approx (/ x (tan B)) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 F (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) B)) (neg.f64 (/.f64 x B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 F (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) B)) (/.f64 x (neg.f64 B))))) |
| Outputs |
|---|
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B))) |
(-.f64 (/.f64 F (*.f64 #s(approx (sin B) (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B))) |
4 calls:
| 22.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
| 22.0ms | B |
| 20.0ms | x |
| 20.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.4% | 1 | x |
| 56.3% | 5 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
| 56.2% | 3 | B |
| 68.5% | 3 | F |
Compiled 42 to 29 computations (31% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))))) |
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 F F) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (fma.f64 (*.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (neg.f64 (*.f64 x x))) (+.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) #s(approx (sqrt (/ 1 (* (+ (* 2 x) 2) (* (+ (* 2 x) 2) (+ (* 2 x) 2))))) (fma.f64 #s(literal -3/16 binary64) (/.f64 x (sqrt.f64 #s(literal 1/8 binary64))) (sqrt.f64 #s(literal 1/8 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) x) (*.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/4 binary64))) (neg.f64 x)) #s(literal -1/2 binary64)) (neg.f64 x)))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (fma.f64 (*.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (neg.f64 (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 #s(approx (/ 1 (+ (* 2 x) 2)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(approx (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360))))) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B)) |
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) (*.f64 x #s(literal 1/3 binary64))) (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) (neg.f64 x))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))) (*.f64 x #s(literal 1/3 binary64))) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))))) x) B)) |
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B)) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B))) |
| Outputs |
|---|
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B))) |
(-.f64 (/.f64 F (*.f64 #s(approx (sin B) (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B)) |
1 calls:
| 26.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.9% | 3 | F |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 x B)) (*.f64 B B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (*.f64 B (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (fma.f64 (*.f64 B B) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (neg.f64 x)))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal -1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (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)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (/.f64 B x)) (*.f64 B #s(literal 1 binary64))) (*.f64 B (/.f64 B x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 x (*.f64 x x))) (*.f64 B (fma.f64 x (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 F (*.f64 B (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F B)) (/.f64 x B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 F B) (/.f64 x (neg.f64 B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (fma.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (fma.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) B)) (fma.f64 x (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) (*.f64 x (fma.f64 F (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)))) B)) |
(-.f64 (/.f64 F (*.f64 #s(approx (sin B) (*.f64 B (fma.f64 (*.f64 B B) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) |
(-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 B (*.f64 (fma.f64 (*.f64 B B) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F)))))))) #s(approx (/ x (tan B)) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 #s(approx (/ 1 (* (+ (* 2 x) 2) (* (+ (* 2 x) 2) (+ (* 2 x) 2)))) #s(literal 1/8 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (-.f64 (fma.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 B B) (+.f64 (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64)) x)) B)) |
(-.f64 (/.f64 F (*.f64 #s(approx (sin B) (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 F (*.f64 B B)) F)) B)) #s(approx (/ x (tan B)) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (fma.f64 (*.f64 B B) #s(literal -31/15120 binary64) #s(literal -7/360 binary64))) (*.f64 x #s(literal 1/3 binary64))) (-.f64 (neg.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 #s(approx (/ 1 (* (+ (* 2 x) 2) (* (+ (* 2 x) 2) (+ (* 2 x) 2)))) (fma.f64 x (fma.f64 x #s(literal 3/4 binary64) #s(literal -3/8 binary64)) #s(literal 1/8 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) F) F) (-.f64 (*.f64 (*.f64 x (*.f64 B B)) #s(literal 1/3 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 #s(approx (/ 1 (+ (* 2 x) 2)) #s(literal 1/2 binary64))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (*.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (neg.f64 (*.f64 x x))) (*.f64 B (+.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 F (*.f64 (/.f64 F (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 F F) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (fma.f64 (*.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (neg.f64 (*.f64 x x))) (+.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) #s(approx (sqrt (/ 1 (* (+ (* 2 x) 2) (* (+ (* 2 x) 2) (+ (* 2 x) 2))))) (fma.f64 #s(literal -3/16 binary64) (/.f64 x (sqrt.f64 #s(literal 1/8 binary64))) (sqrt.f64 #s(literal 1/8 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) x) (*.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/4 binary64))) (neg.f64 x)) #s(literal -1/2 binary64)) (neg.f64 x)))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (fma.f64 (*.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (neg.f64 (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 #s(approx (/ 1 (+ (* 2 x) 2)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(approx (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360))))) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B)) |
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) (*.f64 x #s(literal 1/3 binary64))) (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) (neg.f64 x))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))) (*.f64 x #s(literal 1/3 binary64))) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))))) x) B)) |
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B)) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (fma.f64 (*.f64 B B) #s(literal -31/15120 binary64) #s(literal -7/360 binary64))) (*.f64 x #s(literal 1/3 binary64))) (-.f64 (neg.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) B)) |
(-.f64 (/.f64 F (*.f64 #s(approx (sin B) (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B)) |
2 calls:
| 24.0ms | B |
| 20.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.4% | 1 | B |
| 56.0% | 3 | F |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 x B)) (*.f64 B B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (*.f64 B (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (fma.f64 (*.f64 B B) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (neg.f64 x)))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal -1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (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)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (/.f64 B x)) (*.f64 B #s(literal 1 binary64))) (*.f64 B (/.f64 B x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 x (*.f64 x x))) (*.f64 B (fma.f64 x (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 F (*.f64 B (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F B)) (/.f64 x B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 F B) (/.f64 x (neg.f64 B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (fma.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (fma.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) B)) (fma.f64 x (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) (*.f64 x (fma.f64 F (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)))) B)) |
(-.f64 (/.f64 F (*.f64 #s(approx (sin B) (*.f64 B (fma.f64 (*.f64 B B) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) |
(-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 B (*.f64 (fma.f64 (*.f64 B B) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F)))))))) #s(approx (/ x (tan B)) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 #s(approx (/ 1 (* (+ (* 2 x) 2) (* (+ (* 2 x) 2) (+ (* 2 x) 2)))) #s(literal 1/8 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (-.f64 (fma.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 B B) (+.f64 (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64)) x)) B)) |
(-.f64 (/.f64 F (*.f64 #s(approx (sin B) (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 F (*.f64 B B)) F)) B)) #s(approx (/ x (tan B)) (/.f64 x B))) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
(-.f64 (/.f64 F (*.f64 #s(approx (sin B) (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B)) |
1 calls:
| 16.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.0% | 3 | F |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 x B)) (*.f64 B B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (*.f64 B (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (fma.f64 (*.f64 B B) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (neg.f64 x)))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal -1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (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)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (/.f64 B x)) (*.f64 B #s(literal 1 binary64))) (*.f64 B (/.f64 B x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 x (*.f64 x x))) (*.f64 B (fma.f64 x (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 F (*.f64 B (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F B)) (/.f64 x B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 F B) (/.f64 x (neg.f64 B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (fma.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (fma.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) B)) (fma.f64 x (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) (*.f64 x (fma.f64 F (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)))) B)) |
(-.f64 (/.f64 F (*.f64 #s(approx (sin B) (*.f64 B (fma.f64 (*.f64 B B) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) |
(-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 B (*.f64 (fma.f64 (*.f64 B B) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F)))))))) #s(approx (/ x (tan B)) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 #s(approx (/ 1 (* (+ (* 2 x) 2) (* (+ (* 2 x) 2) (+ (* 2 x) 2)))) #s(literal 1/8 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (-.f64 (fma.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 B B) (+.f64 (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64)) x)) B)) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
(-.f64 (/.f64 F (*.f64 #s(approx (sin B) (*.f64 B (fma.f64 (*.f64 B B) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B)) |
1 calls:
| 13.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.9% | 3 | F |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 x B)) (*.f64 B B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (*.f64 B (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (fma.f64 (*.f64 B B) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (neg.f64 x)))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal -1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (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)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (/.f64 B x)) (*.f64 B #s(literal 1 binary64))) (*.f64 B (/.f64 B x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 x (*.f64 x x))) (*.f64 B (fma.f64 x (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 F (*.f64 B (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F B)) (/.f64 x B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 F B) (/.f64 x (neg.f64 B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (fma.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (fma.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) B)) (fma.f64 x (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) (*.f64 x (fma.f64 F (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)))) B)) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 F B) (/.f64 x (neg.f64 B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B)) |
1 calls:
| 20.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.7% | 3 | F |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 x B)) (*.f64 B B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (*.f64 B (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (fma.f64 (*.f64 B B) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (neg.f64 x)))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal -1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (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)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (/.f64 B x)) (*.f64 B #s(literal 1 binary64))) (*.f64 B (/.f64 B x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 x (*.f64 x x))) (*.f64 B (fma.f64 x (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 F (*.f64 B (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F B)) (/.f64 x B)))) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F B)) (/.f64 x B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B)) |
1 calls:
| 12.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.7% | 3 | F |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 x B)) (*.f64 B B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (*.f64 B (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (fma.f64 (*.f64 B B) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (neg.f64 x)))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal -1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (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)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (/.f64 B x)) (*.f64 B #s(literal 1 binary64))) (*.f64 B (/.f64 B x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 x (*.f64 x x))) (*.f64 B (fma.f64 x (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 F (*.f64 B (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x)) B)) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B)) |
1 calls:
| 11.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.7% | 3 | F |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 x B)) (*.f64 B B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (*.f64 B (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (fma.f64 (*.f64 B B) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (neg.f64 x)))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal -1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B)) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B)) |
1 calls:
| 9.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.7% | 3 | F |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 x B)) (*.f64 B B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (*.f64 B (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (fma.f64 (*.f64 B B) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (neg.f64 x)))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) x) B)) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)) |
1 calls:
| 5.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.7% | 3 | F |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 x B)) (*.f64 B B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (*.f64 B (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (fma.f64 (*.f64 B B) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (neg.f64 x)))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) B)) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)) |
4 calls:
| 8.0ms | B |
| 5.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
| 5.0ms | x |
| 5.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 35.1% | 3 | x |
| 33.1% | 2 | B |
| 39.9% | 3 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
| 49.6% | 3 | F |
Compiled 42 to 29 computations (31% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))))) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)) |
1 calls:
| 3.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.5% | 3 | F |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)) |
1 calls:
| 1.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.5% | 2 | F |
Compiled 4 to 3 computations (25% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)) |
4 calls:
| 1.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
| 1.0ms | B |
| 1.0ms | F |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 31.1% | 1 | B |
| 31.1% | 1 | x |
| 31.1% | 1 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
| 31.1% | 1 | F |
Compiled 42 to 29 computations (31% saved)
| 2× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 8.845155438106823e+133 | 1.4436804058028331e+134 |
| 34.0ms | -1.881568084779561e+124 | -2.4660190713882463e+121 |
| 22.0ms | 144× | 0 | valid |
| 1.0ms | 6× | 0 | invalid |
Compiled 392 to 260 computations (33.7% saved)
ival-div: 3.0ms (16.3% of total)ival-mult: 3.0ms (16.3% of total)ival-sin: 3.0ms (16.3% of total)ival-tan: 3.0ms (16.3% of total)ival-pow: 3.0ms (16.3% of total)ival-add: 2.0ms (10.9% of total)ival-neg: 1.0ms (5.4% 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× | predicate-same |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 36.0ms | 2.875300849412195e-35 | 9.584982501041824e+21 |
| 16.0ms | -20106094488245844.0 | -6300013697138087.0 |
| 39.0ms | 256× | 0 | valid |
| 2.0ms | 16× | 0 | invalid |
Compiled 609 to 410 computations (32.7% saved)
ival-tan: 7.0ms (20.5% of total)ival-mult: 6.0ms (17.6% of total)ival-div: 5.0ms (14.7% of total)ival-sin: 5.0ms (14.7% of total)ival-pow: 5.0ms (14.7% of total)ival-add: 4.0ms (11.7% of total)ival-neg: 2.0ms (5.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 33.0ms | 2.875300849412195e-35 | 9.584982501041824e+21 |
| 23.0ms | 1.2176762857461382e-118 | 2.1960440478947188e-117 |
| 44.0ms | -193977.2504925018 | -1.4695974459580601e-21 |
| 67.0ms | 448× | 0 | valid |
| 9.0ms | 64× | 0 | invalid |
Compiled 1 207 to 793 computations (34.3% saved)
ival-mult: 12.0ms (19.4% of total)ival-tan: 11.0ms (17.8% of total)ival-sin: 10.0ms (16.2% of total)ival-div: 9.0ms (14.5% of total)ival-pow: 9.0ms (14.5% of total)ival-add: 7.0ms (11.3% of total)ival-neg: 4.0ms (6.5% of total)exact: 1.0ms (1.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 2.875300849412195e-35 | 9.584982501041824e+21 |
| 1.0ms | 1.2176762857461382e-118 | 2.1960440478947188e-117 |
| 1.0ms | -193977.2504925018 | -1.4695974459580601e-21 |
| 7.0ms | 48× | 0 | valid |
| 1.0ms | 6× | 0 | invalid |
Compiled 1 131 to 736 computations (34.9% saved)
ival-div: 1.0ms (14.9% of total)ival-add: 1.0ms (14.9% of total)ival-mult: 1.0ms (14.9% of total)ival-sin: 1.0ms (14.9% of total)ival-tan: 1.0ms (14.9% of total)ival-pow: 1.0ms (14.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 27.0ms | 2.9902561342144073e+29 | 7.276338619543232e+30 |
| 1.0ms | 1.2176762857461382e-118 | 2.1960440478947188e-117 |
| 1.0ms | -193977.2504925018 | -1.4695974459580601e-21 |
| 21.0ms | 112× | 0 | valid |
| 2.0ms | 12× | 0 | invalid |
Compiled 989 to 633 computations (36% saved)
ival-pow: 6.0ms (31.7% of total)ival-mult: 3.0ms (15.9% of total)ival-tan: 3.0ms (15.9% of total)ival-div: 2.0ms (10.6% of total)ival-add: 2.0ms (10.6% of total)ival-sin: 2.0ms (10.6% of total)ival-neg: 1.0ms (5.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.9902561342144073e+29 | 7.276338619543232e+30 |
| 1.0ms | 1.2176762857461382e-118 | 2.1960440478947188e-117 |
| 28.0ms | -7.753283274585052e+45 | -2.9366525656065366e+41 |
| 21.0ms | 128× | 0 | valid |
| 1.0ms | 10× | 0 | invalid |
Compiled 926 to 583 computations (37% saved)
ival-div: 3.0ms (18.2% of total)ival-mult: 3.0ms (18.2% of total)ival-tan: 3.0ms (18.2% of total)ival-add: 2.0ms (12.1% of total)ival-sin: 2.0ms (12.1% of total)ival-pow: 2.0ms (12.1% of total)ival-neg: 1.0ms (6.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.9902561342144073e+29 | 7.276338619543232e+30 |
| 1.0ms | 1.2176762857461382e-118 | 2.1960440478947188e-117 |
| 28.0ms | -5.742303018430215e+54 | -7.753283274585052e+45 |
| 21.0ms | 144× | 0 | valid |
| 2.0ms | 12× | 0 | invalid |
Compiled 933 to 576 computations (38.3% saved)
ival-mult: 4.0ms (21.6% of total)ival-div: 3.0ms (16.2% of total)ival-sin: 3.0ms (16.2% of total)ival-tan: 3.0ms (16.2% of total)ival-pow: 3.0ms (16.2% of total)ival-add: 2.0ms (10.8% of total)ival-neg: 1.0ms (5.4% 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 |
|---|---|---|
| 1.0ms | 2.9902561342144073e+29 | 7.276338619543232e+30 |
| 12.0ms | -2.5501472293200174e+89 | -1.794894220958001e+89 |
| 9.0ms | 64× | 0 | valid |
| 0.0ms | 3× | 0 | invalid |
Compiled 451 to 279 computations (38.1% saved)
ival-mult: 2.0ms (25.8% of total)ival-div: 1.0ms (12.9% of total)ival-add: 1.0ms (12.9% of total)ival-sin: 1.0ms (12.9% of total)ival-tan: 1.0ms (12.9% of total)ival-pow: 1.0ms (12.9% of total)ival-neg: 1.0ms (12.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 2.9902561342144073e+29 | 7.276338619543232e+30 |
| 23.0ms | 2.180861755827937e-71 | 1.9357472540722506e-69 |
| 37.0ms | -193977.2504925018 | -1.4695974459580601e-21 |
| 53.0ms | 288× | 0 | valid |
| 4.0ms | 30× | 0 | invalid |
Compiled 1 163 to 712 computations (38.8% saved)
ival-tan: 16.0ms (33.2% of total)ival-mult: 7.0ms (14.5% of total)ival-div: 6.0ms (12.4% of total)ival-sin: 6.0ms (12.4% of total)ival-pow: 6.0ms (12.4% of total)ival-add: 4.0ms (8.3% of total)ival-neg: 3.0ms (6.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.9902561342144073e+29 | 7.276338619543232e+30 |
| 1.0ms | 2.180861755827937e-71 | 1.9357472540722506e-69 |
| 1.0ms | -193977.2504925018 | -1.4695974459580601e-21 |
Compiled 1 163 to 712 computations (38.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 1.4400883518202425e+29 | 2.9902561342144073e+29 |
| 1.0ms | -193977.2504925018 | -1.4695974459580601e-21 |
| 12.0ms | 80× | 0 | valid |
| 1.0ms | 7× | 0 | invalid |
Compiled 821 to 484 computations (41% saved)
ival-div: 2.0ms (18.6% of total)ival-mult: 2.0ms (18.6% of total)ival-sin: 2.0ms (18.6% of total)ival-tan: 2.0ms (18.6% of total)ival-pow: 2.0ms (18.6% of total)ival-add: 1.0ms (9.3% of total)ival-neg: 1.0ms (9.3% 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 |
|---|---|---|
| 35.0ms | 1.58070425716827e-40 | 2.3329040250372793e-36 |
| 1.0ms | -193977.2504925018 | -1.4695974459580601e-21 |
| 27.0ms | 128× | 0 | valid |
| 3.0ms | 22× | 0 | invalid |
Compiled 945 to 558 computations (41% saved)
ival-pow: 10.0ms (39.3% of total)ival-div: 3.0ms (11.8% of total)ival-mult: 3.0ms (11.8% of total)ival-sin: 3.0ms (11.8% of total)ival-tan: 3.0ms (11.8% of total)ival-add: 2.0ms (7.9% of total)ival-neg: 1.0ms (3.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.58070425716827e-40 | 2.3329040250372793e-36 |
| 1.0ms | -193977.2504925018 | -1.4695974459580601e-21 |
Compiled 1 001 to 590 computations (41.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.58070425716827e-40 | 2.3329040250372793e-36 |
| 36.0ms | -2.4942778032721215e+138 | -2.735194359905322e+132 |
| 30.0ms | 144× | 0 | valid |
Compiled 1 157 to 651 computations (43.7% saved)
ival-sin: 11.0ms (42.1% of total)ival-div: 3.0ms (11.5% of total)ival-mult: 3.0ms (11.5% of total)ival-tan: 3.0ms (11.5% of total)ival-pow: 3.0ms (11.5% of total)ival-add: 2.0ms (7.7% 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)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.58070425716827e-40 | 2.3329040250372793e-36 |
| 33.0ms | -193977.2504925018 | -1.4695974459580601e-21 |
| 26.0ms | 96× | 0 | valid |
| 2.0ms | 13× | 0 | invalid |
Compiled 968 to 568 computations (41.3% saved)
ival-mult: 3.0ms (22.7% of total)ival-div: 2.0ms (15.1% of total)ival-sin: 2.0ms (15.1% of total)ival-tan: 2.0ms (15.1% of total)ival-pow: 2.0ms (15.1% of total)ival-add: 1.0ms (7.6% of total)ival-neg: 1.0ms (7.6% 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 |
|---|---|---|
| 1.0ms | 1.58070425716827e-40 | 2.3329040250372793e-36 |
| 65.0ms | -2.1263493750665415e+81 | -8.776320263705695e+70 |
| 34.0ms | 16× | 0 | invalid |
| 24.0ms | 160× | 0 | valid |
Compiled 833 to 506 computations (39.3% saved)
ival-mult: 35.0ms (66% of total)ival-tan: 4.0ms (7.5% of total)ival-div: 3.0ms (5.7% of total)ival-sin: 3.0ms (5.7% of total)ival-pow: 3.0ms (5.7% of total)ival-add: 2.0ms (3.8% of total)ival-neg: 1.0ms (1.9% 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 |
|---|---|---|
| 1.0ms | 1.58070425716827e-40 | 2.3329040250372793e-36 |
| 40.0ms | -6300013697138087.0 | -86408859984110.88 |
| 19.0ms | 16× | 0 | invalid |
| 17.0ms | 112× | 0 | valid |
Compiled 593 to 374 computations (36.9% saved)
ival-tan: 19.0ms (59.2% of total)ival-mult: 3.0ms (9.3% of total)ival-div: 2.0ms (6.2% of total)ival-add: 2.0ms (6.2% of total)ival-sin: 2.0ms (6.2% of total)ival-pow: 2.0ms (6.2% of total)ival-neg: 1.0ms (3.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.58070425716827e-40 | 2.3329040250372793e-36 |
| 1.0ms | -6300013697138087.0 | -86408859984110.88 |
Compiled 593 to 374 computations (36.9% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.58070425716827e-40 | 2.3329040250372793e-36 |
| 1.0ms | -6300013697138087.0 | -86408859984110.88 |
Compiled 563 to 359 computations (36.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.58070425716827e-40 | 2.3329040250372793e-36 |
| 1.0ms | -6300013697138087.0 | -86408859984110.88 |
Compiled 533 to 329 computations (38.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 27.0ms | 2.3329040250372793e-36 | 1.0175062449479485e-35 |
| 1.0ms | -6300013697138087.0 | -86408859984110.88 |
| 21.0ms | 96× | 0 | valid |
| 2.0ms | 12× | 0 | invalid |
Compiled 397 to 247 computations (37.8% saved)
ival-mult: 9.0ms (46.3% of total)ival-div: 2.0ms (10.3% of total)ival-sin: 2.0ms (10.3% of total)ival-tan: 2.0ms (10.3% of total)ival-pow: 2.0ms (10.3% of total)ival-add: 1.0ms (5.1% of total)ival-neg: 1.0ms (5.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 24.0ms | 2.180861755827937e-71 | 1.9357472540722506e-69 |
| 38.0ms | -3.957730189268909e-63 | -3.182328879697556e-64 |
| 28.0ms | 192× | 0 | valid |
| 22.0ms | 29× | 0 | invalid |
Compiled 397 to 247 computations (37.8% saved)
ival-add: 20.0ms (45.6% of total)ival-mult: 5.0ms (11.4% of total)ival-div: 4.0ms (9.1% of total)ival-sin: 4.0ms (9.1% of total)ival-tan: 4.0ms (9.1% of total)ival-pow: 4.0ms (9.1% of total)ival-neg: 2.0ms (4.6% 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 |
|---|---|---|
| 11.0ms | 2.3329040250372793e-36 | 1.0175062449479485e-35 |
| 17.0ms | -1.9669336068372377e-61 | -1.2643428031060852e-61 |
| 20.0ms | 112× | 0 | valid |
| 3.0ms | 22× | 0 | invalid |
Compiled 243 to 156 computations (35.8% saved)
ival-sin: 6.0ms (30.6% of total)ival-div: 3.0ms (15.3% of total)ival-mult: 3.0ms (15.3% of total)ival-tan: 3.0ms (15.3% of total)ival-add: 2.0ms (10.2% of total)ival-pow: 2.0ms (10.2% of total)ival-neg: 1.0ms (5.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.9669336068372377e-61 | -1.2643428031060852e-61 |
Compiled 117 to 78 computations (33.3% saved)
| 1× | egg-herbie |
| 62× | +-commutative_binary64 |
| 56× | *-commutative_binary64 |
| 54× | sub-neg_binary64 |
| 24× | neg-sub0_binary64 |
| 24× | neg-mul-1_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 346 | 3534 |
| 1 | 406 | 3532 |
| 2 | 452 | 3532 |
| 3 | 474 | 3532 |
| 4 | 486 | 3532 |
| 5 | 488 | 3532 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 F #s(literal -18500000000000000394945952859481570983081664651840652342144417656491044437093309356637383721714543626814544853076841651503104 binary64)) (fma.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal -1 binary64) F)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (if (<=.f64 F #s(literal 99999999999999992148203649670699315007549827372972461504375111049848301607660324472857261615145089428049364457837845490532419930947584 binary64)) (-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 x (tan.f64 B))) (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))))) |
(if (<=.f64 F #s(literal -6500000000000000 binary64)) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal 100000000 binary64)) (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))))) |
(if (<=.f64 F #s(literal -7746191359077253/18014398509481984 binary64)) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal 248431204593225/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944 binary64)) (fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 #s(approx (/ 1 (+ 2 (+ (* F F) (* 2 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (if (<=.f64 F #s(literal 600000 binary64)) (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B))) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B)))))) |
(if (<=.f64 F #s(literal -7746191359077253/18014398509481984 binary64)) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal 248431204593225/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944 binary64)) (fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 #s(approx (/ 1 (+ 2 (+ (* F F) (* 2 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (if (<=.f64 F #s(literal 480000 binary64)) (-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B)))))) |
(if (<=.f64 F #s(literal -7746191359077253/18014398509481984 binary64)) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal 248431204593225/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944 binary64)) (fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 #s(approx (/ 1 (+ 2 (+ (* F F) (* 2 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (if (<=.f64 F #s(literal 619999999999999978551470194688 binary64)) (-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) (fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) #s(approx (/ (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) B) (/.f64 #s(literal 1 binary64) (*.f64 B F)))) F (/.f64 (neg.f64 x) (tan.f64 B)))))) |
(if (<=.f64 F #s(literal -5199999999999999800126692176111671070162944 binary64)) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B))) (if (<=.f64 F #s(literal 248431204593225/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944 binary64)) (fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (if (<=.f64 F #s(literal 619999999999999978551470194688 binary64)) (-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) (fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) #s(approx (/ (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) B) (/.f64 #s(literal 1 binary64) (*.f64 B F)))) F (/.f64 (neg.f64 x) (tan.f64 B)))))) |
(if (<=.f64 F #s(literal -2599999999999999951739915087984749730470513606656 binary64)) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B))) (if (<=.f64 F #s(literal 248431204593225/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944 binary64)) (-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 B (sqrt.f64 (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))))) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal 619999999999999978551470194688 binary64)) (-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) (fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) #s(approx (/ (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) B) (/.f64 #s(literal 1 binary64) (*.f64 B F)))) F (/.f64 (neg.f64 x) (tan.f64 B)))))) |
(if (<=.f64 F #s(literal -229999999999999988898999560182199098659861599876225315296556075379922944157113316576067584 binary64)) (fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(approx (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) (/.f64 #s(literal -1 binary64) F)) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (if (<=.f64 F #s(literal 619999999999999978551470194688 binary64)) (-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) (fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) #s(approx (/ (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) B) (/.f64 #s(literal 1 binary64) (*.f64 B F)))) F (/.f64 (neg.f64 x) (tan.f64 B))))) |
(if (<=.f64 F #s(literal -14200 binary64)) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B))) (if (<=.f64 F #s(literal 93248106826835/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176 binary64)) (-.f64 (/.f64 F (*.f64 #s(approx (sin B) (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) (if (<=.f64 F #s(literal 500000000000000009942312419328 binary64)) #s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) #s(approx (/ (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) B) (/.f64 #s(literal 1 binary64) (*.f64 B F)))) F (/.f64 (neg.f64 x) (tan.f64 B)))))) |
(if (<=.f64 F #s(literal -14200 binary64)) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B))) (if (<=.f64 F #s(literal 93248106826835/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176 binary64)) (-.f64 (/.f64 F (*.f64 #s(approx (sin B) (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) (if (<=.f64 F #s(literal 500000000000000009942312419328 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B)))) (fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) #s(approx (/ (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) B) (/.f64 #s(literal 1 binary64) (*.f64 B F)))) F (/.f64 (neg.f64 x) (tan.f64 B)))))) |
(if (<=.f64 F #s(literal -14200 binary64)) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B))) (if (<=.f64 F #s(literal 144999999999999997253771067392 binary64)) (-.f64 (/.f64 F (*.f64 #s(approx (sin B) (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) (fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) #s(approx (/ (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) B) (/.f64 #s(literal 1 binary64) (*.f64 B F)))) F (/.f64 (neg.f64 x) (tan.f64 B))))) |
(if (<=.f64 F #s(literal -14200 binary64)) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B))) (if (<=.f64 F #s(literal 6884257312483485/2993155353253689176481146537402947624255349848014848 binary64)) (-.f64 (/.f64 F (*.f64 #s(approx (sin B) (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B))))) |
(if (<=.f64 F #s(literal -14200 binary64)) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B))) (if (<=.f64 F #s(literal 6884257312483485/2993155353253689176481146537402947624255349848014848 binary64)) (-.f64 (/.f64 F (*.f64 #s(approx (sin B) (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B)))) |
(if (<=.f64 F #s(literal -2400000000000000078819749974091822589568830159263068069229552223020992816557091189305603157506545790441478811482373845388756377522107580416 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (fma.f64 (*.f64 B B) #s(literal -31/15120 binary64) #s(literal -7/360 binary64))) (*.f64 x #s(literal 1/3 binary64))) (-.f64 (neg.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) B)) (if (<=.f64 F #s(literal 6884257312483485/2993155353253689176481146537402947624255349848014848 binary64)) (-.f64 (/.f64 F (*.f64 #s(approx (sin B) (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B)))) |
(if (<=.f64 F #s(literal -190000 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) (if (<=.f64 F #s(literal 6884257312483485/2993155353253689176481146537402947624255349848014848 binary64)) (-.f64 (/.f64 F (*.f64 #s(approx (sin B) (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B)))) |
(if (<=.f64 F #s(literal -13499999999999999510455184713430646574231997261806129766234162224157652156416 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) (if (<=.f64 F #s(literal 6884257312483485/2993155353253689176481146537402947624255349848014848 binary64)) (-.f64 (/.f64 F (*.f64 #s(approx (sin B) (*.f64 B (fma.f64 (*.f64 B B) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B)))) |
(if (<=.f64 F #s(literal -88000000000000 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) (if (<=.f64 F #s(literal 6884257312483485/2993155353253689176481146537402947624255349848014848 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 F B) (/.f64 x (neg.f64 B))))) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B)))) |
(if (<=.f64 F #s(literal -88000000000000 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) (if (<=.f64 F #s(literal 6884257312483485/2993155353253689176481146537402947624255349848014848 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F B)) (/.f64 x B)))) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B)))) |
(if (<=.f64 F #s(literal -88000000000000 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) (if (<=.f64 F #s(literal 6884257312483485/2993155353253689176481146537402947624255349848014848 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 x)) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B)))) |
(if (<=.f64 F #s(literal -88000000000000 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) (if (<=.f64 F #s(literal 6884257312483485/2993155353253689176481146537402947624255349848014848 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) x) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B)))) |
(if (<=.f64 F #s(literal -88000000000000 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) (if (<=.f64 F #s(literal 7482888383134223/748288838313422294120286634350736906063837462003712 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) x) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)))) |
(if (<=.f64 F #s(literal -2037940770576765/1852673427797059126777135760139006525652319754650249024631321344126610074238976 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) (if (<=.f64 F #s(literal 8081502591659033/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)))) |
(if (<=.f64 F #s(literal -5644864350319165/28948022309329048855892746252171976963317496166410141009864396001978282409984 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) (if (<=.f64 F #s(literal 3180227562832045/374144419156711147060143317175368453031918731001856 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)))) |
(if (<=.f64 F #s(literal -5644864350319165/28948022309329048855892746252171976963317496166410141009864396001978282409984 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)) |
| Outputs |
|---|
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(if (<=.f64 F #s(literal -88000000000000 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) (if (<=.f64 F #s(literal 6884257312483485/2993155353253689176481146537402947624255349848014848 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) x) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B)))) |
(if (<=.f64 F #s(literal -88000000000000 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) (if (<=.f64 F #s(literal 7482888383134223/748288838313422294120286634350736906063837462003712 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) x) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)))) |
(if (<=.f64 F #s(literal -2037940770576765/1852673427797059126777135760139006525652319754650249024631321344126610074238976 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) (if (<=.f64 F #s(literal 8081502591659033/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)))) |
(if (<=.f64 F #s(literal -5644864350319165/28948022309329048855892746252171976963317496166410141009864396001978282409984 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) (if (<=.f64 F #s(literal 3180227562832045/374144419156711147060143317175368453031918731001856 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)))) |
(if (<=.f64 F #s(literal -5644864350319165/28948022309329048855892746252171976963317496166410141009864396001978282409984 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)) |
| 19 798× | lower-fma.f64 |
| 19 798× | lower-fma.f32 |
| 9 162× | lower-fma.f64 |
| 9 162× | lower-fma.f32 |
| 8 684× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 71 |
| 0 | 37 | 67 |
| 1 | 122 | 66 |
| 2 | 789 | 66 |
| 0 | 8296 | 58 |
| 0 | 1684 | 26200 |
| 1 | 5682 | 25250 |
| 0 | 8412 | 23048 |
| 0 | 73 | 490 |
| 0 | 124 | 469 |
| 1 | 508 | 438 |
| 2 | 4014 | 438 |
| 0 | 8085 | 438 |
| 0 | 1501 | 25093 |
| 1 | 4915 | 24275 |
| 0 | 8448 | 22186 |
| 0 | 72 | 510 |
| 0 | 111 | 431 |
| 1 | 471 | 404 |
| 2 | 3586 | 403 |
| 0 | 9270 | 389 |
| 0 | 1516 | 21275 |
| 1 | 4809 | 20878 |
| 0 | 8545 | 19228 |
| 0 | 496 | 4202 |
| 1 | 1484 | 4010 |
| 2 | 5378 | 3926 |
| 0 | 8574 | 3585 |
| 1× | fuel |
| 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× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 5 630 to 2 955 computations (47.5% saved)
(negabs B)
Compiled 2 906 to 552 computations (81% saved)
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