
Time bar (total: 11.4s)
| 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 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 4 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 7 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 8 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 9 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 10 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 11 |
| 93.8% | 93.6% | 6.2% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 25 to 20 computations (20% saved)
| 729.0ms | 5 564× | 0 | valid |
| 685.0ms | 1 622× | 2 | valid |
| 277.0ms | 1 070× | 1 | valid |
ival-pow2: 239.0ms (17.4% of total)ival-div: 238.0ms (17.3% of total)ival-sub: 185.0ms (13.5% of total)ival-mult: 171.0ms (12.4% of total)ival-atan: 168.0ms (12.2% of total)adjust: 149.0ms (10.8% of total)ival-sqrt: 106.0ms (7.7% of total)ival-add: 67.0ms (4.9% of total)ival-pi: 33.0ms (2.4% of total)exact: 8.0ms (0.6% of total)ival-true: 7.0ms (0.5% of total)ival-assert: 3.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 154 | 0 | - | 0 | - | (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) |
| 43 | 0 | - | 0 | - | (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))) |
| 9 | 0 | - | 0 | - | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 0 | 0 | - | 0 | - | A |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | C |
| 0 | 0 | - | 0 | - | (-.f64 A C) |
| 0 | 0 | - | 0 | - | (PI.f64) |
| 0 | 0 | - | 0 | - | (pow.f64 B #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | (-.f64 C A) |
| 0 | 0 | - | 0 | - | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
| 0 | 0 | - | 0 | - | #s(literal 180 binary64) |
| 0 | 0 | - | 0 | - | (pow.f64 (-.f64 A C) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| 0 | 0 | - | 0 | - | B |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) B) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) | oflow-rescue | 153 | 0 |
| ↳ | (pow.f64 B #s(literal 2 binary64)) | overflow | 64 | |
| ↳ | (pow.f64 (-.f64 A C) #s(literal 2 binary64)) | overflow | 110 | |
| ↳ | (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) | overflow | 153 | |
-.f64 | (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))) | cancellation | 43 | 0 |
*.f64 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) | n*u | 9 | 0 |
sqrt.f64 | (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) | uflow-rescue | 1 | 0 |
| ↳ | (pow.f64 B #s(literal 2 binary64)) | underflow | 61 | |
| ↳ | (pow.f64 (-.f64 A C) #s(literal 2 binary64)) | underflow | 10 | |
| ↳ | (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) | underflow | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 124 | 0 |
| - | 56 | 76 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 124 | 0 | 0 |
| - | 56 | 0 | 76 |
| number | freq |
|---|---|
| 0 | 76 |
| 1 | 154 |
| 2 | 26 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 50.0ms | 364× | 0 | valid |
| 31.0ms | 82× | 2 | valid |
| 21.0ms | 66× | 1 | valid |
Compiled 306 to 61 computations (80.1% saved)
ival-div: 13.0ms (18% of total)ival-pow2: 13.0ms (18% of total)ival-sub: 11.0ms (15.3% of total)ival-mult: 9.0ms (12.5% of total)adjust: 8.0ms (11.1% of total)ival-sqrt: 6.0ms (8.3% of total)ival-atan: 5.0ms (6.9% of total)ival-add: 4.0ms (5.5% of total)ival-pi: 2.0ms (2.8% 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 |
| 4 768× | lower-fma.f64 |
| 4 768× | lower-fma.f32 |
| 1 636× | div-sub |
| 1 004× | lower-*.f32 |
| 1 000× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 219 |
| 1 | 194 | 195 |
| 2 | 561 | 193 |
| 3 | 1780 | 191 |
| 4 | 5521 | 191 |
| 0 | 19 | 23 |
| 0 | 32 | 23 |
| 1 | 51 | 21 |
| 2 | 94 | 21 |
| 3 | 237 | 21 |
| 4 | 613 | 21 |
| 5 | 1310 | 21 |
| 6 | 2156 | 21 |
| 7 | 3282 | 21 |
| 8 | 4112 | 21 |
| 9 | 4492 | 21 |
| 10 | 4576 | 21 |
| 11 | 4625 | 21 |
| 12 | 4663 | 21 |
| 13 | 4766 | 21 |
| 14 | 4798 | 21 |
| 15 | 4798 | 21 |
| 16 | 4798 | 21 |
| 0 | 4798 | 16 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) |
Compiled 26 to 19 computations (26.9% saved)
Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 56.6% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
Compiled 26 to 19 computations (26.9% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 128 | (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) | |
| cost-diff | 5952 | (pow.f64 (-.f64 A C) #s(literal 2 binary64)) | |
| cost-diff | 6144 | (pow.f64 B #s(literal 2 binary64)) |
| 4 768× | lower-fma.f64 |
| 4 768× | lower-fma.f32 |
| 1 004× | lower-*.f32 |
| 1 000× | lower-*.f64 |
| 940× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 138 |
| 0 | 32 | 138 |
| 1 | 51 | 130 |
| 2 | 94 | 130 |
| 3 | 237 | 130 |
| 4 | 613 | 130 |
| 5 | 1310 | 130 |
| 6 | 2156 | 130 |
| 7 | 3282 | 130 |
| 8 | 4112 | 130 |
| 9 | 4492 | 130 |
| 10 | 4576 | 130 |
| 11 | 4625 | 130 |
| 12 | 4663 | 130 |
| 13 | 4766 | 130 |
| 14 | 4798 | 130 |
| 15 | 4798 | 130 |
| 16 | 4798 | 130 |
| 0 | 4798 | 99 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) B) |
#s(literal 1 binary64) |
B |
(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))) |
(-.f64 C A) |
C |
A |
(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) |
(+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) |
(pow.f64 (-.f64 A C) #s(literal 2 binary64)) |
(-.f64 A C) |
#s(literal 2 binary64) |
(pow.f64 B #s(literal 2 binary64)) |
(PI.f64) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (PI.f64)) |
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B) |
(/.f64 #s(literal 1 binary64) B) |
#s(literal 1 binary64) |
B |
(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))) |
(-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) |
(-.f64 C A) |
C |
A |
(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) |
(sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) |
(+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) |
(fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)) |
(pow.f64 (-.f64 A C) #s(literal 2 binary64)) |
(*.f64 (-.f64 A C) (-.f64 A C)) |
(-.f64 A C) |
#s(literal 2 binary64) |
(pow.f64 B #s(literal 2 binary64)) |
(*.f64 B B) |
(PI.f64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.07421875 | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) | |
| accuracy | 2.2904278143377095 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) | |
| accuracy | 10.272989520950208 | (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))) | |
| accuracy | 35.70357541764374 | (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) |
| 25.0ms | 182× | 0 | valid |
| 17.0ms | 33× | 1 | valid |
| 16.0ms | 41× | 2 | valid |
Compiled 140 to 21 computations (85% saved)
ival-pow2: 6.0ms (18% of total)ival-sub: 5.0ms (15% of total)ival-div: 5.0ms (15% of total)adjust: 4.0ms (12% of total)ival-mult: 4.0ms (12% of total)ival-sqrt: 3.0ms (9% of total)ival-atan: 3.0ms (9% of total)ival-add: 2.0ms (6% of total)ival-pi: 1.0ms (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 (pow.f64 B #s(literal 2 binary64)) (patch (pow.f64 B #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (patch (pow.f64 (-.f64 A C) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) (patch (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #<representation binary64>) () ()) |
#s(alt (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) (patch (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))) (patch (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) (patch (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (pow A 2) (taylor 0 C) (#s(alt (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (patch (pow.f64 (-.f64 A C) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 (* A C)) (pow A 2)) (taylor 0 C) (#s(alt (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (patch (pow.f64 (-.f64 A C) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* C (+ C (* -2 A))) (pow A 2)) (taylor 0 C) (#s(alt (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (patch (pow.f64 (-.f64 A C) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* C (+ C (* -2 A))) (pow A 2)) (taylor 0 C) (#s(alt (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (patch (pow.f64 (-.f64 A C) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (taylor 0 C) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) (patch (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) (taylor 0 C) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) (patch (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) (taylor 0 C) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) (patch (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow C 2) A)) (* 2 C)) A)))) (taylor -inf A) (#s(alt (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (patch (pow.f64 (-.f64 A C) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ B A)) (taylor -inf A) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) (patch (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) (taylor -inf A) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) (patch (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) (taylor -inf A) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) (patch (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) (taylor -inf A) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) (patch (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (pow A 2) (taylor -inf A) (#s(alt (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) (patch (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow A 2) (+ 1 (* -2 (/ C A)))) (taylor -inf A) (#s(alt (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) (patch (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow B 2) (pow C 2)) A)) (* 2 C)) A)))) (taylor -inf A) (#s(alt (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) (patch (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow B 2) (pow C 2)) A)) (* 2 C)) A)))) (taylor -inf A) (#s(alt (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) (patch (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 A) (taylor -inf A) (#s(alt (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* A (+ 1 (* -1 (/ C A))))) (taylor -inf A) (#s(alt (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* A (+ 1 (* -1 (/ (+ C (* -1/2 (/ (pow B 2) A))) A))))) (taylor -inf A) (#s(alt (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* A (+ 1 (* -1 (/ (+ C (* -1 (/ (+ (* 1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A))) A))))) (taylor -inf A) (#s(alt (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (pow B 2) A)) (taylor -inf A) (#s(alt (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))) (patch (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A)) (taylor -inf A) (#s(alt (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))) (patch (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) (taylor -inf A) (#s(alt (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))) (patch (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) A)) (* -1/2 (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) (taylor -inf A) (#s(alt (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))) (patch (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) (taylor -inf A) (#s(alt (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) (patch (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) (taylor -inf A) (#s(alt (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) (patch (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) (taylor -inf A) (#s(alt (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) (patch (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) (taylor -inf A) (#s(alt (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) (patch (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | A | @ | -inf | ((pow B 2) (pow (- A C) 2) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+ (pow (- A C) 2) (pow B 2)) (sqrt (+ (pow (- A C) 2) (pow B 2))) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) |
| 3.0ms | C | @ | 0 | ((pow B 2) (pow (- A C) 2) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+ (pow (- A C) 2) (pow B 2)) (sqrt (+ (pow (- A C) 2) (pow B 2))) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) |
| 3.0ms | B | @ | inf | ((pow B 2) (pow (- A C) 2) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+ (pow (- A C) 2) (pow B 2)) (sqrt (+ (pow (- A C) 2) (pow B 2))) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) |
| 2.0ms | C | @ | inf | ((pow B 2) (pow (- A C) 2) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+ (pow (- A C) 2) (pow B 2)) (sqrt (+ (pow (- A C) 2) (pow B 2))) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) |
| 2.0ms | C | @ | -inf | ((pow B 2) (pow (- A C) 2) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+ (pow (- A C) 2) (pow B 2)) (sqrt (+ (pow (- A C) 2) (pow B 2))) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) |
| 1× | egg-herbie |
| 8 978× | lower-fma.f64 |
| 8 978× | lower-fma.f32 |
| 5 826× | lower-*.f64 |
| 5 826× | lower-*.f32 |
| 3 320× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 649 | 4231 |
| 1 | 2024 | 4036 |
| 2 | 6285 | 3996 |
| 0 | 8196 | 3465 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow A 2) |
(+ (* -2 (* A C)) (pow A 2)) |
(+ (* C (+ C (* -2 A))) (pow A 2)) |
(+ (* C (+ C (* -2 A))) (pow A 2)) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (pow A 2) (pow B 2)) |
(+ (* -2 (* A C)) (+ (pow A 2) (pow B 2))) |
(+ (* C (+ C (* -2 A))) (+ (pow A 2) (pow B 2))) |
(+ (* C (+ C (* -2 A))) (+ (pow A 2) (pow B 2))) |
(sqrt (+ (pow A 2) (pow B 2))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* C (+ (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (* 1/2 (* (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* C (+ (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (* C (+ (* 1/2 (* (sqrt (/ 1 (+ (pow A 2) (pow B 2)))) (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (* 1/2 (* (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3)))))))))) |
(* -1 (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(- (* C (- 1 (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(- (* C (- (+ 1 (* -1/2 (* (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(- (* C (- (+ 1 (* C (- (* -1/2 (* (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow A 2) (pow B 2)))) (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(pow C 2) |
(* (pow C 2) (+ 1 (* -2 (/ A C)))) |
(* (pow C 2) (+ 1 (+ (* -2 (/ A C)) (/ (pow A 2) (pow C 2))))) |
(* (pow C 2) (+ 1 (+ (* -2 (/ A C)) (/ (pow A 2) (pow C 2))))) |
(* -1 (/ (+ A (* -1 A)) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
(pow C 2) |
(* (pow C 2) (+ 1 (* -2 (/ A C)))) |
(* (pow C 2) (+ 1 (+ (* -2 (/ A C)) (+ (/ (pow A 2) (pow C 2)) (/ (pow B 2) (pow C 2)))))) |
(* (pow C 2) (+ 1 (+ (* -2 (/ A C)) (+ (/ (pow A 2) (pow C 2)) (/ (pow B 2) (pow C 2)))))) |
C |
(* C (+ 1 (* -1 (/ A C)))) |
(* C (+ 1 (+ (* -1 (/ A C)) (* 1/2 (/ (pow B 2) (pow C 2)))))) |
(* C (+ 1 (+ (* -1 (/ A C)) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 3))) (* 1/2 (/ (pow B 2) (pow C 2))))))) |
(* -1 (+ A (* -1 A))) |
(- (* -1/2 (/ (pow B 2) C)) (+ A (* -1 A))) |
(- (* -1/2 (/ (* A (pow B 2)) (pow C 2))) (+ A (+ (* -1 A) (* 1/2 (/ (pow B 2) C))))) |
(- (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (pow C 3))) (+ A (+ (* -1 A) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 2))) (* 1/2 (/ (pow B 2) C)))))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(pow C 2) |
(* (pow C 2) (+ 1 (* -2 (/ A C)))) |
(* (pow C 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow A 2) C)) (* 2 A)) C)))) |
(* (pow C 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow A 2) C)) (* 2 A)) C)))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(pow C 2) |
(* (pow C 2) (+ 1 (* -2 (/ A C)))) |
(* (pow C 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow A 2) (pow B 2)) C)) (* 2 A)) C)))) |
(* (pow C 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow A 2) (pow B 2)) C)) (* 2 A)) C)))) |
(* -1 C) |
(* -1 (* C (+ 1 (* -1 (/ A C))))) |
(* -1 (* C (+ 1 (* -1 (/ (+ A (* -1/2 (/ (pow B 2) C))) C))))) |
(* -1 (* C (+ 1 (* -1 (/ (+ A (* -1 (/ (+ (* 1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C))) C))))) |
(* 2 C) |
(* -1 (* C (- (* 2 (/ A C)) 2))) |
(* -1 (* C (- (* -1 (/ (- (* 1/2 (/ (pow B 2) C)) (* 2 A)) C)) 2))) |
(* -1 (* C (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C)) (* 2 A)) C)) 2))) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(/ (- (* 2 C) (* 2 A)) B) |
(/ (- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(pow (- A C) 2) |
(+ (pow B 2) (pow (- A C) 2)) |
(+ (pow B 2) (pow (- A C) 2)) |
(+ (pow B 2) (pow (- A C) 2)) |
(- A C) |
(- (+ A (* 1/2 (/ (pow B 2) (- A C)))) C) |
(- (+ A (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) C) |
(- (+ A (* (pow B 2) (+ (* (pow B 2) (- (* 1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) C) |
(- (* 2 C) (* 2 A)) |
(- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) |
(- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) |
(- (+ (* 2 C) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
-1 |
(- (/ C B) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
(pow B 2) |
(* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2)))) |
(* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2)))) |
(* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2)))) |
B |
(* B (+ 1 (* 1/2 (/ (pow (- A C) 2) (pow B 2))))) |
(* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (* 1/2 (/ (pow (- A C) 2) (pow B 2)))))) |
(* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (+ (* 1/16 (/ (pow (- A C) 6) (pow B 6))) (* 1/2 (/ (pow (- A C) 2) (pow B 2))))))) |
(* -1 B) |
(* B (- (/ C B) (+ 1 (/ A B)))) |
(* B (- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B)))) |
(* B (- (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B)) (+ 1 (+ (* 1/2 (/ (pow (- A C) 2) (pow B 2))) (/ A B))))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
1 |
(- (+ 1 (/ C B)) (/ A B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- A C) 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) B))) |
(pow B 2) |
(* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2)))) |
(* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2)))) |
(* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2)))) |
(* -1 B) |
(* -1 (* B (+ 1 (* 1/2 (/ (pow (- A C) 2) (pow B 2)))))) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (* 1/2 (/ (pow (- A C) 2) (pow B 2))))))) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (+ (* 1/16 (/ (pow (- A C) 6) (pow B 6))) (* 1/2 (/ (pow (- A C) 2) (pow B 2)))))))) |
B |
(* -1 (* B (- (* -1 (/ (- C A) B)) 1))) |
(* -1 (* B (- (* -1 (/ (- (+ C (* 1/2 (/ (pow (- A C) 2) B))) A) B)) 1))) |
(* -1 (* B (- (* -1 (/ (- (+ C (* -1 (/ (- (* 1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) A) B)) 1))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(pow C 2) |
(+ (* -2 (* A C)) (pow C 2)) |
(+ (* A (+ A (* -2 C))) (pow C 2)) |
(+ (* A (+ A (* -2 C))) (pow C 2)) |
(/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B) |
(- (+ (* -1 (/ (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* -1/2 (* (/ (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* A (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) B) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(+ (pow B 2) (pow C 2)) |
(+ (* -2 (* A C)) (+ (pow B 2) (pow C 2))) |
(+ (* A (+ A (* -2 C))) (+ (pow B 2) (pow C 2))) |
(+ (* A (+ A (* -2 C))) (+ (pow B 2) (pow C 2))) |
(sqrt (+ (pow B 2) (pow C 2))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* A (+ (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (* 1/2 (* (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* A (+ (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (* A (+ (* 1/2 (* (sqrt (/ 1 (+ (pow B 2) (pow C 2)))) (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (* 1/2 (* (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3)))))))))) |
(- C (sqrt (+ (pow B 2) (pow C 2)))) |
(- (+ C (* -1 (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(- (+ C (* A (- (* -1/2 (* (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(- (+ C (* A (- (* A (- (* -1/2 (* (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow B 2) (pow C 2)))) (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(pow A 2) |
(* (pow A 2) (+ 1 (* -2 (/ C A)))) |
(* (pow A 2) (+ 1 (+ (* -2 (/ C A)) (/ (pow C 2) (pow A 2))))) |
(* (pow A 2) (+ 1 (+ (* -2 (/ C A)) (/ (pow C 2) (pow A 2))))) |
(* -2 (/ A B)) |
(* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(pow A 2) |
(* (pow A 2) (+ 1 (* -2 (/ C A)))) |
(* (pow A 2) (+ 1 (+ (* -2 (/ C A)) (+ (/ (pow B 2) (pow A 2)) (/ (pow C 2) (pow A 2)))))) |
(* (pow A 2) (+ 1 (+ (* -2 (/ C A)) (+ (/ (pow B 2) (pow A 2)) (/ (pow C 2) (pow A 2)))))) |
A |
(* A (+ 1 (* -1 (/ C A)))) |
(* A (+ 1 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2)))))) |
(* A (+ 1 (+ (* -1 (/ C A)) (+ (* 1/2 (/ (* (pow B 2) C) (pow A 3))) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(* -2 A) |
(* A (- (/ C A) (+ 2 (* -1 (/ C A))))) |
(* A (- (+ (* -1/2 (/ (pow B 2) (pow A 2))) (/ C A)) (+ 2 (* -1 (/ C A))))) |
(* A (- (+ (* -1/2 (/ (* (pow B 2) C) (pow A 3))) (/ C A)) (+ 2 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(pow A 2) |
(* (pow A 2) (+ 1 (* -2 (/ C A)))) |
(* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow C 2) A)) (* 2 C)) A)))) |
(* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow C 2) A)) (* 2 C)) A)))) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(pow A 2) |
(* (pow A 2) (+ 1 (* -2 (/ C A)))) |
(* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow B 2) (pow C 2)) A)) (* 2 C)) A)))) |
(* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow B 2) (pow C 2)) A)) (* 2 C)) A)))) |
(* -1 A) |
(* -1 (* A (+ 1 (* -1 (/ C A))))) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1/2 (/ (pow B 2) A))) A))))) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1 (/ (+ (* 1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A))) A))))) |
(* 1/2 (/ (pow B 2) A)) |
(* -1 (/ (- (* -1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A)) |
(* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) A)) (* -1/2 (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
| Outputs |
|---|
(pow A 2) |
(*.f64 A A) |
(+ (* -2 (* A C)) (pow A 2)) |
(*.f64 (fma.f64 C #s(literal -2 binary64) A) A) |
(+ (* C (+ C (* -2 A))) (pow A 2)) |
(fma.f64 (fma.f64 #s(literal -2 binary64) A C) C (*.f64 A A)) |
(+ (* C (+ C (* -2 A))) (pow A 2)) |
(fma.f64 (fma.f64 #s(literal -2 binary64) A C) C (*.f64 A A)) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 A A))) A) (neg.f64 B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (/.f64 A B) (/.f64 #s(literal 1 binary64) B)) C (/.f64 (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 A A))) A) (neg.f64 B))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(fma.f64 (fma.f64 (*.f64 C #s(literal -1/2 binary64)) (*.f64 (/.f64 (fma.f64 (neg.f64 A) (/.f64 A (fma.f64 B B (*.f64 A A))) #s(literal 1 binary64)) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (/.f64 A B) (/.f64 #s(literal 1 binary64) B))) C (/.f64 (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 A A))) A) (neg.f64 B))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(fma.f64 (fma.f64 (*.f64 C #s(literal -1/2 binary64)) (fma.f64 (/.f64 (fma.f64 (neg.f64 A) (/.f64 A (fma.f64 B B (*.f64 A A))) #s(literal 1 binary64)) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 B B (*.f64 A A)) (fma.f64 B B (*.f64 A A))) (fma.f64 B B (*.f64 A A))))) (*.f64 (*.f64 (fma.f64 (neg.f64 A) (/.f64 A (fma.f64 B B (*.f64 A A))) #s(literal 1 binary64)) (/.f64 C B)) A))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (/.f64 A B) (/.f64 #s(literal 1 binary64) B))) C (/.f64 (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 A A))) A) (neg.f64 B))) |
(+ (pow A 2) (pow B 2)) |
(fma.f64 B B (*.f64 A A)) |
(+ (* -2 (* A C)) (+ (pow A 2) (pow B 2))) |
(fma.f64 (fma.f64 C #s(literal -2 binary64) A) A (*.f64 B B)) |
(+ (* C (+ C (* -2 A))) (+ (pow A 2) (pow B 2))) |
(fma.f64 (fma.f64 #s(literal -2 binary64) A C) C (fma.f64 B B (*.f64 A A))) |
(+ (* C (+ C (* -2 A))) (+ (pow A 2) (pow B 2))) |
(fma.f64 (fma.f64 #s(literal -2 binary64) A C) C (fma.f64 B B (*.f64 A A))) |
(sqrt (+ (pow A 2) (pow B 2))) |
(sqrt.f64 (fma.f64 B B (*.f64 A A))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) |
(fma.f64 (*.f64 (neg.f64 C) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A))))) A (sqrt.f64 (fma.f64 B B (*.f64 A A)))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* C (+ (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (* 1/2 (* (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) C) (fma.f64 (neg.f64 A) (/.f64 A (fma.f64 B B (*.f64 A A))) #s(literal 1 binary64)) (neg.f64 A))) C (sqrt.f64 (fma.f64 B B (*.f64 A A)))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* C (+ (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (* C (+ (* 1/2 (* (sqrt (/ 1 (+ (pow A 2) (pow B 2)))) (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (* 1/2 (* (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3)))))))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) C) (fma.f64 (neg.f64 A) (/.f64 A (fma.f64 B B (*.f64 A A))) #s(literal 1 binary64)) (neg.f64 A)) (*.f64 (*.f64 C (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 C A)) (fma.f64 (neg.f64 A) (/.f64 A (fma.f64 B B (*.f64 A A))) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 B B (*.f64 A A)) (fma.f64 B B (*.f64 A A))) (fma.f64 B B (*.f64 A A))))))) C (sqrt.f64 (fma.f64 B B (*.f64 A A)))) |
(* -1 (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(neg.f64 (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 A A))) A)) |
(- (* C (- 1 (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) A #s(literal 1 binary64)) C (neg.f64 (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 A A))) A))) |
(- (* C (- (+ 1 (* -1/2 (* (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) C) (fma.f64 (neg.f64 A) (/.f64 A (fma.f64 B B (*.f64 A A))) #s(literal 1 binary64)) A) #s(literal 1 binary64)) C (neg.f64 (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 A A))) A))) |
(- (* C (- (+ 1 (* C (- (* -1/2 (* (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow A 2) (pow B 2)))) (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 B B (*.f64 A A)) (fma.f64 B B (*.f64 A A))) (fma.f64 B B (*.f64 A A))))) (*.f64 (fma.f64 (neg.f64 A) (/.f64 A (fma.f64 B B (*.f64 A A))) #s(literal 1 binary64)) (*.f64 C A)) (*.f64 (fma.f64 (neg.f64 A) (/.f64 A (fma.f64 B B (*.f64 A A))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A))))))) C (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) A #s(literal 1 binary64))) C (neg.f64 (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 A A))) A))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) |
(pow C 2) |
(*.f64 C C) |
(* (pow C 2) (+ 1 (* -2 (/ A C)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 A C) #s(literal -2 binary64) #s(literal 1 binary64)) C) C) |
(* (pow C 2) (+ 1 (+ (* -2 (/ A C)) (/ (pow A 2) (pow C 2))))) |
(*.f64 (fma.f64 (/.f64 A C) #s(literal -2 binary64) (fma.f64 A (/.f64 A (*.f64 C C)) #s(literal 1 binary64))) (*.f64 C C)) |
(* (pow C 2) (+ 1 (+ (* -2 (/ A C)) (/ (pow A 2) (pow C 2))))) |
(*.f64 (fma.f64 (/.f64 A C) #s(literal -2 binary64) (fma.f64 A (/.f64 A (*.f64 C C)) #s(literal 1 binary64))) (*.f64 C C)) |
(* -1 (/ (+ A (* -1 A)) B)) |
#s(literal 0 binary64) |
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(pow C 2) |
(*.f64 C C) |
(* (pow C 2) (+ 1 (* -2 (/ A C)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 A C) #s(literal -2 binary64) #s(literal 1 binary64)) C) C) |
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C |
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#s(literal 0 binary64) |
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(pow C 2) |
(*.f64 C C) |
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(pow C 2) |
(*.f64 C C) |
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(pow B 2) |
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(pow B 2) |
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(pow B 2) |
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(pow B 2) |
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(pow (- A C) 2) |
(*.f64 (-.f64 C A) (-.f64 C A)) |
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(pow B 2) |
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(pow B 2) |
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#s(literal -1 binary64) |
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B |
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(pow B 2) |
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(/.f64 (fma.f64 #s(literal -1/2 binary64) B (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) B (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 B B) (*.f64 B B)) (*.f64 (*.f64 (*.f64 (*.f64 B C) B) C) #s(literal 1/2 binary64))) (*.f64 B A))) (neg.f64 A))) (neg.f64 A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) B (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) B (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) C) (*.f64 (*.f64 B B) (*.f64 B B)) (*.f64 (neg.f64 C) (fma.f64 (*.f64 (*.f64 C C) B) (neg.f64 B) (*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/4 binary64))))) (*.f64 B A)) #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 B B) (*.f64 B B)) (*.f64 (*.f64 (*.f64 (*.f64 B C) B) C) #s(literal -1/2 binary64))) B)) (neg.f64 A))) (neg.f64 A))) (neg.f64 A)) |
(pow A 2) |
(*.f64 A A) |
(* (pow A 2) (+ 1 (* -2 (/ C A)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 C A) #s(literal -2 binary64) #s(literal 1 binary64)) A) A) |
(* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow B 2) (pow C 2)) A)) (* 2 C)) A)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 C #s(literal 2 binary64) (/.f64 (fma.f64 B B (*.f64 C C)) (neg.f64 A))) A)) (*.f64 A A)) |
(* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow B 2) (pow C 2)) A)) (* 2 C)) A)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 C #s(literal 2 binary64) (/.f64 (fma.f64 B B (*.f64 C C)) (neg.f64 A))) A)) (*.f64 A A)) |
(* -1 A) |
(neg.f64 A) |
(* -1 (* A (+ 1 (* -1 (/ C A))))) |
(fma.f64 (/.f64 C A) A (neg.f64 A)) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1/2 (/ (pow B 2) A))) A))))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 B (/.f64 B A)) #s(literal -1/2 binary64) C) A) A (neg.f64 A)) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1 (/ (+ (* 1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A))) A))))) |
(fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 B (*.f64 (/.f64 C A) B) (*.f64 B B)) A) C) A) A (neg.f64 A)) |
(* 1/2 (/ (pow B 2) A)) |
(*.f64 (*.f64 B (/.f64 B A)) #s(literal 1/2 binary64)) |
(* -1 (/ (- (* -1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 B (*.f64 (/.f64 C A) B) (*.f64 B B)) A)) |
(* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 C C) B) (neg.f64 B) (*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/4 binary64))) A) (*.f64 (*.f64 B C) B)) A) (*.f64 #s(literal 1/2 binary64) (*.f64 B B))) A) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) A)) (* -1/2 (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) (*.f64 B B) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) C) (*.f64 (*.f64 B B) (*.f64 B B)) (*.f64 (neg.f64 C) (fma.f64 (*.f64 (*.f64 C C) B) (neg.f64 B) (*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/4 binary64))))) A) (fma.f64 (*.f64 (*.f64 C C) B) (neg.f64 B) (*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/4 binary64)))) A))) A) (*.f64 #s(literal 1/2 binary64) (*.f64 B B))) A) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) |
| 5 346× | lower-fma.f64 |
| 5 346× | lower-fma.f32 |
| 4 142× | lower-*.f32 |
| 4 140× | lower-*.f64 |
| 3 234× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 80 |
| 0 | 29 | 80 |
| 1 | 132 | 76 |
| 2 | 995 | 76 |
| 0 | 8622 | 54 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(pow.f64 B #s(literal 2 binary64)) |
(pow.f64 (-.f64 A C) #s(literal 2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
(+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) |
(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) |
(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))) |
(/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| Outputs |
|---|
(*.f64 (*.f64 B B) #s(literal 1 binary64)) |
(*.f64 B B) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 B)) |
(pow.f64 (*.f64 B B) #s(literal 1 binary64)) |
(pow.f64 B #s(literal 2 binary64)) |
(/.f64 B (/.f64 #s(literal 1 binary64) B)) |
(exp.f64 (*.f64 (*.f64 (log.f64 B) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 B) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (-.f64 C A) #s(literal 1 binary64)) (pow.f64 (-.f64 C A) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (+.f64 C A) (-.f64 A C)) (-.f64 A C)) (/.f64 #s(literal 1 binary64) (+.f64 C A))) |
(*.f64 (*.f64 (*.f64 (fma.f64 C (+.f64 C A) (*.f64 A A)) (-.f64 A C)) (-.f64 A C)) (/.f64 #s(literal 1 binary64) (fma.f64 C (+.f64 C A) (*.f64 A A)))) |
(*.f64 (*.f64 (*.f64 (+.f64 C A) (-.f64 C A)) (-.f64 C A)) (/.f64 #s(literal 1 binary64) (+.f64 C A))) |
(*.f64 (*.f64 (*.f64 (fma.f64 C (+.f64 C A) (*.f64 A A)) (-.f64 C A)) (-.f64 C A)) (/.f64 #s(literal 1 binary64) (fma.f64 C (+.f64 C A) (*.f64 A A)))) |
(*.f64 (*.f64 (-.f64 A C) (*.f64 (+.f64 C A) (-.f64 A C))) (/.f64 #s(literal 1 binary64) (+.f64 C A))) |
(*.f64 (*.f64 (-.f64 A C) (*.f64 (fma.f64 C (+.f64 C A) (*.f64 A A)) (-.f64 A C))) (/.f64 #s(literal 1 binary64) (fma.f64 C (+.f64 C A) (*.f64 A A)))) |
(*.f64 (*.f64 (-.f64 C A) (*.f64 (+.f64 C A) (-.f64 C A))) (/.f64 #s(literal 1 binary64) (+.f64 C A))) |
(*.f64 (*.f64 (-.f64 C A) (*.f64 (fma.f64 C (+.f64 C A) (*.f64 A A)) (-.f64 C A))) (/.f64 #s(literal 1 binary64) (fma.f64 C (+.f64 C A) (*.f64 A A)))) |
(*.f64 (*.f64 (*.f64 (+.f64 C A) (-.f64 A C)) (*.f64 (fma.f64 C (+.f64 C A) (*.f64 A A)) (-.f64 A C))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 C A) (fma.f64 C (+.f64 C A) (*.f64 A A))))) |
(*.f64 (*.f64 (*.f64 (fma.f64 C (+.f64 C A) (*.f64 A A)) (-.f64 A C)) (*.f64 (+.f64 C A) (-.f64 A C))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 C (+.f64 C A) (*.f64 A A)) (+.f64 C A)))) |
(*.f64 (*.f64 (*.f64 (+.f64 C A) (+.f64 C A)) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 C A)) (/.f64 #s(literal 1 binary64) (+.f64 C A)))) |
(*.f64 (*.f64 (*.f64 (+.f64 C A) (+.f64 C A)) (*.f64 (-.f64 C A) (-.f64 C A))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 C A) (+.f64 C A)))) |
(*.f64 (*.f64 (*.f64 (+.f64 C A) (+.f64 C A)) (*.f64 (-.f64 C A) (-.f64 C A))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 C A)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 (+.f64 C A) (-.f64 C A)) (*.f64 (fma.f64 C (+.f64 C A) (*.f64 A A)) (-.f64 C A))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 C A) (fma.f64 C (+.f64 C A) (*.f64 A A))))) |
(*.f64 (*.f64 (*.f64 (fma.f64 C (+.f64 C A) (*.f64 A A)) (-.f64 C A)) (*.f64 (+.f64 C A) (-.f64 C A))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 C (+.f64 C A) (*.f64 A A)) (+.f64 C A)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 C (+.f64 C A) (*.f64 A A)) (fma.f64 C (+.f64 C A) (*.f64 A A))) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C (+.f64 C A) (*.f64 A A))) (/.f64 #s(literal 1 binary64) (fma.f64 C (+.f64 C A) (*.f64 A A))))) |
(*.f64 (*.f64 (*.f64 (fma.f64 C (+.f64 C A) (*.f64 A A)) (fma.f64 C (+.f64 C A) (*.f64 A A))) (*.f64 (-.f64 C A) (-.f64 C A))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 C (+.f64 C A) (*.f64 A A)) (fma.f64 C (+.f64 C A) (*.f64 A A))))) |
(*.f64 (*.f64 (*.f64 (fma.f64 C (+.f64 C A) (*.f64 A A)) (fma.f64 C (+.f64 C A) (*.f64 A A))) (*.f64 (-.f64 C A) (-.f64 C A))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C (+.f64 C A) (*.f64 A A))) #s(literal 2 binary64))) |
(*.f64 (-.f64 C A) (-.f64 C A)) |
(*.f64 (-.f64 A C) (-.f64 A C)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (-.f64 A C))) |
(pow.f64 (*.f64 (-.f64 C A) (-.f64 C A)) #s(literal 1 binary64)) |
(pow.f64 (-.f64 C A) #s(literal 2 binary64)) |
(pow.f64 (-.f64 A C) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 A (-.f64 A C)) (*.f64 A (-.f64 A C))) (*.f64 (*.f64 C (-.f64 C A)) (*.f64 C (-.f64 C A)))) (-.f64 (*.f64 A (-.f64 A C)) (*.f64 C (-.f64 C A)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 A C) A) (*.f64 (-.f64 A C) A)) (*.f64 (*.f64 (-.f64 A C) (neg.f64 C)) (*.f64 (-.f64 A C) (neg.f64 C)))) (-.f64 (*.f64 (-.f64 A C) A) (*.f64 (-.f64 A C) (neg.f64 C)))) |
(/.f64 (-.f64 (*.f64 (*.f64 C (-.f64 C A)) (*.f64 C (-.f64 C A))) (*.f64 (*.f64 A (-.f64 A C)) (*.f64 A (-.f64 A C)))) (-.f64 (*.f64 C (-.f64 C A)) (*.f64 A (-.f64 A C)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 C A) C) (*.f64 (-.f64 C A) C)) (*.f64 (*.f64 (-.f64 C A) (neg.f64 A)) (*.f64 (-.f64 C A) (neg.f64 A)))) (-.f64 (*.f64 (-.f64 C A) C) (*.f64 (-.f64 C A) (neg.f64 A)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 A (-.f64 A C)) #s(literal 3 binary64)) (pow.f64 (*.f64 C (-.f64 C A)) #s(literal 3 binary64))) (fma.f64 (*.f64 A (-.f64 A C)) (*.f64 A (-.f64 A C)) (-.f64 (*.f64 (*.f64 C (-.f64 C A)) (*.f64 C (-.f64 C A))) (*.f64 (*.f64 A (-.f64 A C)) (*.f64 C (-.f64 C A)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 A C) A) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 A C) (neg.f64 C)) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 A C) A) (*.f64 (-.f64 A C) A) (-.f64 (*.f64 (*.f64 (-.f64 A C) (neg.f64 C)) (*.f64 (-.f64 A C) (neg.f64 C))) (*.f64 (*.f64 (-.f64 A C) A) (*.f64 (-.f64 A C) (neg.f64 C)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 C (-.f64 C A)) #s(literal 3 binary64)) (pow.f64 (*.f64 A (-.f64 A C)) #s(literal 3 binary64))) (fma.f64 (*.f64 C (-.f64 C A)) (*.f64 C (-.f64 C A)) (-.f64 (*.f64 (*.f64 A (-.f64 A C)) (*.f64 A (-.f64 A C))) (*.f64 (*.f64 C (-.f64 C A)) (*.f64 A (-.f64 A C)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 C A) C) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 C A) (neg.f64 A)) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 C A) C) (*.f64 (-.f64 C A) C) (-.f64 (*.f64 (*.f64 (-.f64 C A) (neg.f64 A)) (*.f64 (-.f64 C A) (neg.f64 A))) (*.f64 (*.f64 (-.f64 C A) C) (*.f64 (-.f64 C A) (neg.f64 A)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 C A) (-.f64 C A)) (-.f64 C A))) (neg.f64 (+.f64 C A))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 C (+.f64 C A) (*.f64 A A)) (-.f64 C A)) (-.f64 C A))) (neg.f64 (fma.f64 C (+.f64 C A) (*.f64 A A)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 C A) (*.f64 (+.f64 C A) (-.f64 C A)))) (neg.f64 (+.f64 C A))) |
(/.f64 (neg.f64 (*.f64 (-.f64 C A) (*.f64 (fma.f64 C (+.f64 C A) (*.f64 A A)) (-.f64 C A)))) (neg.f64 (fma.f64 C (+.f64 C A) (*.f64 A A)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 C A) (-.f64 C A)) (*.f64 (fma.f64 C (+.f64 C A) (*.f64 A A)) (-.f64 C A)))) (neg.f64 (*.f64 (+.f64 C A) (fma.f64 C (+.f64 C A) (*.f64 A A))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 C (+.f64 C A) (*.f64 A A)) (-.f64 C A)) (*.f64 (+.f64 C A) (-.f64 C A)))) (neg.f64 (*.f64 (fma.f64 C (+.f64 C A) (*.f64 A A)) (+.f64 C A)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 C A) (-.f64 A C)) (-.f64 A C))) (neg.f64 (+.f64 C A))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 C (+.f64 C A) (*.f64 A A)) (-.f64 A C)) (-.f64 A C))) (neg.f64 (fma.f64 C (+.f64 C A) (*.f64 A A)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 A C) (*.f64 (+.f64 C A) (-.f64 A C)))) (neg.f64 (+.f64 C A))) |
(/.f64 (neg.f64 (*.f64 (-.f64 A C) (*.f64 (fma.f64 C (+.f64 C A) (*.f64 A A)) (-.f64 A C)))) (neg.f64 (fma.f64 C (+.f64 C A) (*.f64 A A)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 C A) (+.f64 C A)) (*.f64 (-.f64 C A) (-.f64 C A)))) (neg.f64 (*.f64 (+.f64 C A) (+.f64 C A)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 C A) (-.f64 A C)) (*.f64 (fma.f64 C (+.f64 C A) (*.f64 A A)) (-.f64 A C)))) (neg.f64 (*.f64 (+.f64 C A) (fma.f64 C (+.f64 C A) (*.f64 A A))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 C (+.f64 C A) (*.f64 A A)) (-.f64 A C)) (*.f64 (+.f64 C A) (-.f64 A C)))) (neg.f64 (*.f64 (fma.f64 C (+.f64 C A) (*.f64 A A)) (+.f64 C A)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 C (+.f64 C A) (*.f64 A A)) (fma.f64 C (+.f64 C A) (*.f64 A A))) (*.f64 (-.f64 C A) (-.f64 C A)))) (neg.f64 (*.f64 (fma.f64 C (+.f64 C A) (*.f64 A A)) (fma.f64 C (+.f64 C A) (*.f64 A A))))) |
(/.f64 (*.f64 (*.f64 (+.f64 C A) (-.f64 A C)) (-.f64 A C)) (+.f64 C A)) |
(/.f64 (*.f64 (*.f64 (fma.f64 C (+.f64 C A) (*.f64 A A)) (-.f64 A C)) (-.f64 A C)) (fma.f64 C (+.f64 C A) (*.f64 A A))) |
(/.f64 (*.f64 (*.f64 (+.f64 C A) (-.f64 C A)) (-.f64 C A)) (+.f64 C A)) |
(/.f64 (*.f64 (*.f64 (fma.f64 C (+.f64 C A) (*.f64 A A)) (-.f64 C A)) (-.f64 C A)) (fma.f64 C (+.f64 C A) (*.f64 A A))) |
(/.f64 (*.f64 (-.f64 A C) (*.f64 (+.f64 C A) (-.f64 A C))) (+.f64 C A)) |
(/.f64 (*.f64 (-.f64 A C) (*.f64 (fma.f64 C (+.f64 C A) (*.f64 A A)) (-.f64 A C))) (fma.f64 C (+.f64 C A) (*.f64 A A))) |
(/.f64 (*.f64 (-.f64 C A) (*.f64 (+.f64 C A) (-.f64 C A))) (+.f64 C A)) |
(/.f64 (*.f64 (-.f64 C A) (*.f64 (fma.f64 C (+.f64 C A) (*.f64 A A)) (-.f64 C A))) (fma.f64 C (+.f64 C A) (*.f64 A A))) |
(/.f64 (*.f64 (*.f64 (+.f64 C A) (-.f64 A C)) (*.f64 (fma.f64 C (+.f64 C A) (*.f64 A A)) (-.f64 A C))) (*.f64 (+.f64 C A) (fma.f64 C (+.f64 C A) (*.f64 A A)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 C (+.f64 C A) (*.f64 A A)) (-.f64 A C)) (*.f64 (+.f64 C A) (-.f64 A C))) (*.f64 (fma.f64 C (+.f64 C A) (*.f64 A A)) (+.f64 C A))) |
(/.f64 (*.f64 (*.f64 (+.f64 C A) (+.f64 C A)) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (+.f64 C A) (+.f64 C A))) |
(/.f64 (*.f64 (*.f64 (+.f64 C A) (-.f64 C A)) (*.f64 (fma.f64 C (+.f64 C A) (*.f64 A A)) (-.f64 C A))) (*.f64 (+.f64 C A) (fma.f64 C (+.f64 C A) (*.f64 A A)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 C (+.f64 C A) (*.f64 A A)) (-.f64 C A)) (*.f64 (+.f64 C A) (-.f64 C A))) (*.f64 (fma.f64 C (+.f64 C A) (*.f64 A A)) (+.f64 C A))) |
(/.f64 (*.f64 (*.f64 (fma.f64 C (+.f64 C A) (*.f64 A A)) (fma.f64 C (+.f64 C A) (*.f64 A A))) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (fma.f64 C (+.f64 C A) (*.f64 A A)) (fma.f64 C (+.f64 C A) (*.f64 A A)))) |
(/.f64 (-.f64 C A) (/.f64 #s(literal 1 binary64) (-.f64 C A))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 C A) (*.f64 (*.f64 (+.f64 C A) (-.f64 C A)) (-.f64 C A)))) |
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(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (sqrt.f64 (PI.f64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B))))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (neg.f64 (PI.f64))))) |
(neg.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (neg.f64 (PI.f64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (PI.f64))) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (neg.f64 (PI.f64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (neg.f64 (PI.f64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)))) #s(literal -1 binary64))) |
Compiled 27 643 to 3 974 computations (85.6% saved)
15 alts after pruning (15 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 629 | 15 | 644 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 630 | 15 | 645 |
| Status | Accuracy | Program |
|---|---|---|
| 23.2% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (fma.f64 (neg.f64 (-.f64 A C)) (-.f64 A C) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (-.f64 C A)) (neg.f64 B)))) (PI.f64))) | |
| 30.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (sqrt.f64 B)) (/.f64 #s(literal 1 binary64) (sqrt.f64 B)))) (PI.f64))) | |
| 25.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) (*.f64 (*.f64 B (/.f64 B A)) #s(literal 1/2 binary64))))) (PI.f64))) | |
| 34.0% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (fma.f64 (/.f64 B (*.f64 C C)) A (/.f64 B C)) #s(literal -1/2 binary64) #s(literal 0 binary64)))) (PI.f64))) | |
| 23.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) #s(literal 0 binary64)))) (PI.f64))) | |
| ▶ | 44.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (PI.f64))) |
| ▶ | 55.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) |
| 24.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) (PI.f64))) | |
| 24.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) | |
| ▶ | 28.0% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64)))) (PI.f64))) |
| 33.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 C A) B B) A)))) (PI.f64))) | |
| 19.6% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) (PI.f64))) | |
| 11.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) | |
| ▶ | 22.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
| ▶ | 56.6% | (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)))) |
Compiled 574 to 386 computations (32.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) | |
| cost-diff | 0 | (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) | |
| cost-diff | 0 | (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (PI.f64)) | |
| cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (PI.f64))) | |
| cost-diff | 0 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64))) | |
| cost-diff | 0 | (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64)) | |
| cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) | |
| cost-diff | 0 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64))) | |
| cost-diff | 0 | (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64)))) | |
| cost-diff | 0 | (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64)))) (PI.f64)) | |
| cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64)))) (PI.f64))) | |
| cost-diff | 0 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64)) | |
| cost-diff | 0 | (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) | |
| cost-diff | 0 | (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64)) | |
| cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (PI.f64)) | |
| cost-diff | 0 | (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B))) |
| 5 344× | lower-fma.f32 |
| 5 340× | lower-fma.f64 |
| 1 424× | lower-*.f32 |
| 1 406× | lower-*.f64 |
| 1 076× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 645 |
| 0 | 86 | 645 |
| 1 | 138 | 609 |
| 2 | 243 | 609 |
| 3 | 503 | 602 |
| 4 | 1207 | 602 |
| 5 | 2222 | 602 |
| 6 | 3638 | 602 |
| 7 | 4795 | 602 |
| 8 | 5693 | 602 |
| 9 | 5804 | 602 |
| 10 | 5847 | 602 |
| 11 | 5887 | 602 |
| 12 | 5948 | 602 |
| 13 | 6054 | 602 |
| 14 | 6110 | 602 |
| 15 | 6112 | 602 |
| 16 | 6112 | 602 |
| 17 | 6112 | 602 |
| 0 | 6112 | 463 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)))) |
#s(literal 180 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B))) |
(/.f64 #s(literal 1 binary64) (PI.f64)) |
#s(literal 1 binary64) |
(PI.f64) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) |
(/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B) |
(-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) |
(-.f64 C A) |
C |
A |
(sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) |
(fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)) |
(*.f64 B B) |
B |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64)))) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64)))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64))) |
(*.f64 (/.f64 A B) #s(literal -2 binary64)) |
(/.f64 A B) |
A |
B |
#s(literal -2 binary64) |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64))) |
(+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)) |
(/.f64 (-.f64 C A) B) |
(-.f64 C A) |
C |
A |
B |
#s(literal 1 binary64) |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) |
(/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B) |
(-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) |
C |
(sqrt.f64 (fma.f64 B B (*.f64 C C))) |
(fma.f64 B B (*.f64 C C)) |
B |
(*.f64 C C) |
(PI.f64) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) |
#s(literal 180 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B))) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (PI.f64)) |
(/.f64 #s(literal 1 binary64) (PI.f64)) |
#s(literal 1 binary64) |
(PI.f64) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) |
(/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B) |
(/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B) |
(-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) |
(-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) |
(-.f64 C A) |
C |
A |
(sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) |
(sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) |
(fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)) |
(fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)) |
(*.f64 B B) |
B |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64)))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64)))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -2 binary64) (/.f64 A B))))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64)))) (PI.f64)) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -2 binary64) (/.f64 A B)))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64)))) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -2 binary64) (/.f64 A B)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -2 binary64) (/.f64 A B))) |
(*.f64 (/.f64 A B) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (/.f64 A B)) |
(/.f64 A B) |
A |
B |
#s(literal -2 binary64) |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (-.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64)) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (-.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (-.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (-.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) |
(+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)) |
(-.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)) |
(/.f64 (-.f64 C A) B) |
(-.f64 C A) |
C |
A |
B |
#s(literal 1 binary64) |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) |
(/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B) |
(-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) |
C |
(sqrt.f64 (fma.f64 B B (*.f64 C C))) |
(fma.f64 B B (*.f64 C C)) |
B |
(*.f64 C C) |
(PI.f64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.1666109527521527 | (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B) | |
| accuracy | 8.835084172361531 | (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) | |
| accuracy | 21.068796048172334 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) | |
| accuracy | 26.990941835635592 | (sqrt.f64 (fma.f64 B B (*.f64 C C))) | |
| accuracy | 0.01171875 | (/.f64 (-.f64 C A) B) | |
| accuracy | 0.04296875 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) | |
| accuracy | 0.07421875 | (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64)) | |
| accuracy | 42.475709315422485 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64))) | |
| accuracy | 0.0078125 | (*.f64 (/.f64 A B) #s(literal -2 binary64)) | |
| accuracy | 0.04296875 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64)))) (PI.f64))) | |
| accuracy | 0.07421875 | (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64)))) (PI.f64)) | |
| accuracy | 49.56394437972758 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64))) | |
| accuracy | 0 | (PI.f64) | |
| accuracy | 0.04296875 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) | |
| accuracy | 0.07421875 | (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64)) | |
| accuracy | 51.9018372741996 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64)) | |
| accuracy | 0.078125 | (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B))) | |
| accuracy | 2.1279865545692678 | (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B) | |
| accuracy | 10.272989520950208 | (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) | |
| accuracy | 35.70357541764374 | (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) |
| 64.0ms | 39× | 1 | valid |
| 60.0ms | 39× | 2 | valid |
| 55.0ms | 164× | 0 | valid |
| 17.0ms | 14× | 3 | valid |
Compiled 546 to 41 computations (92.5% saved)
ival-hypot: 17.0ms (17.6% of total)ival-mult: 17.0ms (17.6% of total)ival-div: 17.0ms (17.6% of total)adjust: 11.0ms (11.4% of total)ival-sub: 10.0ms (10.4% of total)ival-add: 9.0ms (9.3% of total)ival-pow2: 6.0ms (6.2% of total)ival-atan: 5.0ms (5.2% of total)ival-sqrt: 3.0ms (3.1% of total)ival-pi: 1.0ms (1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)))) (patch (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (PI.f64)) (patch (/.f64 #s(literal 1 binary64) (PI.f64)) #<representation binary64>) () ()) |
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64)) (patch (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64)) #<representation binary64>) () ()) |
#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64)) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64)))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64)))) (PI.f64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64)))) (PI.f64)) (patch (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64)))) (PI.f64)) #<representation binary64>) () ()) |
#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64)))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64)) (patch (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64)) #<representation binary64>) () ()) |
#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (PI.f64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (PI.f64)) (patch (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (PI.f64)) #<representation binary64>) () ()) |
#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (patch (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) #<representation binary64>) () ()) |
#s(alt (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (patch (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B) (patch (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 A B) #s(literal -2 binary64)) (patch (*.f64 (/.f64 A B) #s(literal -2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 C A) B) (patch (/.f64 (-.f64 C A) B) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 B B (*.f64 C C))) (patch (sqrt.f64 (fma.f64 B B (*.f64 C C))) #<representation binary64>) () ()) |
#s(alt (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) (patch (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B) (patch (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) (taylor 0 C) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B))) #<representation binary64>) () ())) ()) |
#s(alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) (taylor 0 C) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B))) #<representation binary64>) () ())) ()) |
#s(alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) (taylor 0 C) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B))) #<representation binary64>) () ())) ()) |
#s(alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) (taylor 0 C) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) (taylor 0 C) (#s(alt (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)))) (patch (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) (taylor 0 C) (#s(alt (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)))) (patch (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) (taylor 0 C) (#s(alt (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)))) (patch (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)))) #<representation binary64>) () ())) ()) |
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#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor 0 C) (#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) (taylor inf C) (#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) (taylor inf C) (#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor inf C) (#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor inf C) (#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor inf C) (#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor inf C) (#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) (taylor inf C) (#s(alt (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64)) (patch (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) (taylor inf C) (#s(alt (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64)) (patch (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) (taylor inf C) (#s(alt (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64)) (patch (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) (taylor inf C) (#s(alt (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64)) (patch (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64)) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (taylor inf C) (#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (taylor inf C) (#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (taylor inf C) (#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (taylor inf C) (#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ A (* -1 A)) B)) (taylor inf C) (#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) (taylor inf C) (#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) (taylor inf C) (#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) (taylor inf C) (#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor inf C) (#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor inf C) (#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor inf C) (#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor inf C) (#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) (taylor inf C) (#s(alt (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (PI.f64)) (patch (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (PI.f64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) (taylor inf C) (#s(alt (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (PI.f64)) (patch (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (PI.f64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) (taylor inf C) (#s(alt (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (PI.f64)) (patch (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (PI.f64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) (taylor inf C) (#s(alt (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (PI.f64)) (patch (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (PI.f64)) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (taylor inf C) (#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (taylor inf C) (#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (taylor inf C) (#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (taylor inf C) (#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ A (* -1 A)) B)) (taylor inf C) (#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) (taylor inf C) (#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) (taylor inf C) (#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) (taylor inf C) (#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) #<representation binary64>) () ())) ()) |
#s(alt C (taylor inf C) (#s(alt (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (patch (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) #<representation binary64>) () ())) ()) |
#s(alt (* C (+ 1 (* -1 (/ A C)))) (taylor inf C) (#s(alt (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (patch (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) #<representation binary64>) () ())) ()) |
#s(alt (* C (+ 1 (+ (* -1 (/ A C)) (* 1/2 (/ (pow B 2) (pow C 2)))))) (taylor inf C) (#s(alt (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (patch (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) #<representation binary64>) () ())) ()) |
#s(alt (* C (+ 1 (+ (* -1 (/ A C)) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 3))) (* 1/2 (/ (pow B 2) (pow C 2))))))) (taylor inf C) (#s(alt (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (patch (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (+ A (* -1 A))) (taylor inf C) (#s(alt (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (patch (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) #<representation binary64>) () ())) ()) |
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#s(alt (- (* -1/2 (/ (* A (pow B 2)) (pow C 2))) (+ A (+ (* -1 A) (* 1/2 (/ (pow B 2) C))))) (taylor inf C) (#s(alt (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (patch (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) (taylor -inf A) (#s(alt (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B) (patch (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B) #<representation binary64>) () ())) ()) |
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#s(alt (* -2 (/ A B)) (taylor -inf A) (#s(alt (*.f64 (/.f64 A B) #s(literal -2 binary64)) (patch (*.f64 (/.f64 A B) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ A B)) (taylor -inf A) (#s(alt (*.f64 (/.f64 A B) #s(literal -2 binary64)) (patch (*.f64 (/.f64 A B) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ A B)) (taylor -inf A) (#s(alt (/.f64 (-.f64 C A) B) (patch (/.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* A (+ (* -1 (/ C (* A B))) (/ 1 B)))) (taylor -inf A) (#s(alt (/.f64 (-.f64 C A) B) (patch (/.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* A (+ (* -1 (/ C (* A B))) (/ 1 B)))) (taylor -inf A) (#s(alt (/.f64 (-.f64 C A) B) (patch (/.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* A (+ (* -1 (/ C (* A B))) (/ 1 B)))) (taylor -inf A) (#s(alt (/.f64 (-.f64 C A) B) (patch (/.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | C | @ | 0 | ((* (/ 1 (PI)) (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B))) (* 180 (* (/ 1 (PI)) (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B)))) (/ 1 (PI)) (PI) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (sqrt (+ (* (- C A) (- C A)) (* B B))) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (* (/ A B) -2) (/ (- C A) B) (sqrt (+ (* B B) (* C C))) (- C (sqrt (+ (* B B) (* C C)))) (/ (- C (sqrt (+ (* B B) (* C C)))) B)) |
| 8.0ms | A | @ | inf | ((* (/ 1 (PI)) (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B))) (* 180 (* (/ 1 (PI)) (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B)))) (/ 1 (PI)) (PI) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (sqrt (+ (* (- C A) (- C A)) (* B B))) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (* (/ A B) -2) (/ (- C A) B) (sqrt (+ (* B B) (* C C))) (- C (sqrt (+ (* B B) (* C C)))) (/ (- C (sqrt (+ (* B B) (* C C)))) B)) |
| 5.0ms | B | @ | -inf | ((* (/ 1 (PI)) (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B))) (* 180 (* (/ 1 (PI)) (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B)))) (/ 1 (PI)) (PI) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (sqrt (+ (* (- C A) (- C A)) (* B B))) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (* (/ A B) -2) (/ (- C A) B) (sqrt (+ (* B B) (* C C))) (- C (sqrt (+ (* B B) (* C C)))) (/ (- C (sqrt (+ (* B B) (* C C)))) B)) |
| 4.0ms | B | @ | inf | ((* (/ 1 (PI)) (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B))) (* 180 (* (/ 1 (PI)) (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B)))) (/ 1 (PI)) (PI) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (sqrt (+ (* (- C A) (- C A)) (* B B))) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (* (/ A B) -2) (/ (- C A) B) (sqrt (+ (* B B) (* C C))) (- C (sqrt (+ (* B B) (* C C)))) (/ (- C (sqrt (+ (* B B) (* C C)))) B)) |
| 4.0ms | B | @ | 0 | ((* (/ 1 (PI)) (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B))) (* 180 (* (/ 1 (PI)) (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B)))) (/ 1 (PI)) (PI) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (sqrt (+ (* (- C A) (- C A)) (* B B))) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (* (/ A B) -2) (/ (- C A) B) (sqrt (+ (* B B) (* C C))) (- C (sqrt (+ (* B B) (* C C)))) (/ (- C (sqrt (+ (* B B) (* C C)))) B)) |
| 1× | egg-herbie |
| 9 712× | lower-fma.f64 |
| 9 712× | lower-fma.f32 |
| 6 794× | lower-*.f64 |
| 6 794× | lower-*.f32 |
| 4 432× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 910 | 18174 |
| 1 | 2744 | 17628 |
| 0 | 8304 | 14362 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(sqrt (+ (pow A 2) (pow B 2))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* C (+ (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (* 1/2 (* (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* C (+ (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (* C (+ (* 1/2 (* (sqrt (/ 1 (+ (pow A 2) (pow B 2)))) (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (* 1/2 (* (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3)))))))))) |
(* -1 (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(- (* C (- 1 (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(- (* C (- (+ 1 (* -1/2 (* (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(- (* C (- (+ 1 (* C (- (* -1/2 (* (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow A 2) (pow B 2)))) (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(* -1 (/ A B)) |
(+ (* -1 (/ A B)) (/ C B)) |
(+ (* -1 (/ A B)) (/ C B)) |
(+ (* -1 (/ A B)) (/ C B)) |
B |
(+ B (* 1/2 (/ (pow C 2) B))) |
(+ B (* (pow C 2) (+ (* -1/8 (/ (pow C 2) (pow B 3))) (* 1/2 (/ 1 B))))) |
(+ B (* (pow C 2) (+ (* (pow C 2) (- (* 1/16 (/ (pow C 2) (pow B 5))) (* 1/8 (/ 1 (pow B 3))))) (* 1/2 (/ 1 B))))) |
(* -1 B) |
(- C B) |
(- (* C (+ 1 (* -1/2 (/ C B)))) B) |
(- (* C (+ 1 (* C (- (* 1/8 (/ (pow C 2) (pow B 3))) (* 1/2 (/ 1 B)))))) B) |
-1 |
(- (/ C B) 1) |
(- (* C (+ (* -1/2 (/ C (pow B 2))) (/ 1 B))) 1) |
(- (* C (+ (* C (- (* 1/8 (/ (pow C 2) (pow B 4))) (* 1/2 (/ 1 (pow B 2))))) (/ 1 B))) 1) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(* -1 (/ (+ A (* -1 A)) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(* -1 (/ (+ A (* -1 A)) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(* -1 (/ (+ A (* -1 A)) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(* -1 (/ (+ A (* -1 A)) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
C |
(* C (+ 1 (* -1 (/ A C)))) |
(* C (+ 1 (+ (* -1 (/ A C)) (* 1/2 (/ (pow B 2) (pow C 2)))))) |
(* C (+ 1 (+ (* -1 (/ A C)) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 3))) (* 1/2 (/ (pow B 2) (pow C 2))))))) |
(* -1 (+ A (* -1 A))) |
(- (* -1/2 (/ (pow B 2) C)) (+ A (* -1 A))) |
(- (* -1/2 (/ (* A (pow B 2)) (pow C 2))) (+ A (+ (* -1 A) (* 1/2 (/ (pow B 2) C))))) |
(- (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (pow C 3))) (+ A (+ (* -1 A) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 2))) (* 1/2 (/ (pow B 2) C)))))) |
(* -1 (/ (+ A (* -1 A)) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
(/ C B) |
(* C (+ (* -1 (/ A (* B C))) (/ 1 B))) |
(* C (+ (* -1 (/ A (* B C))) (/ 1 B))) |
(* C (+ (* -1 (/ A (* B C))) (/ 1 B))) |
C |
(* C (+ 1 (* 1/2 (/ (pow B 2) (pow C 2))))) |
(* C (+ 1 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (* 1/2 (/ (pow B 2) (pow C 2)))))) |
(* C (+ 1 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (+ (* 1/16 (/ (pow B 6) (pow C 6))) (* 1/2 (/ (pow B 2) (pow C 2))))))) |
(* -1/2 (/ (pow B 2) C)) |
(/ (- (* 1/8 (/ (pow B 4) (pow C 2))) (* 1/2 (pow B 2))) C) |
(/ (- (* -1/16 (/ (pow B 6) (pow C 4))) (+ (* -1/8 (/ (pow B 4) (pow C 2))) (* 1/2 (pow B 2)))) C) |
(/ (- (* 1/2 (/ (+ (* 1/64 (pow B 8)) (* 1/16 (pow B 8))) (pow C 6))) (+ (* -1/8 (/ (pow B 4) (pow C 2))) (+ (* 1/16 (/ (pow B 6) (pow C 4))) (* 1/2 (pow B 2))))) C) |
(* -1/2 (/ B C)) |
(/ (+ (* -1/2 B) (* 1/8 (/ (pow B 3) (pow C 2)))) C) |
(/ (+ (* -1/2 B) (+ (* -1/16 (/ (pow B 5) (pow C 4))) (* 1/8 (/ (pow B 3) (pow C 2))))) C) |
(/ (+ (* -1/2 B) (+ (* -1/16 (/ (pow B 5) (pow C 4))) (+ (* 1/8 (/ (pow B 3) (pow C 2))) (* 1/2 (/ (+ (* 1/64 (pow B 8)) (* 1/16 (pow B 8))) (* B (pow C 6))))))) C) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(* -1 C) |
(* -1 (* C (+ 1 (* -1 (/ A C))))) |
(* -1 (* C (+ 1 (* -1 (/ (+ A (* -1/2 (/ (pow B 2) C))) C))))) |
(* -1 (* C (+ 1 (* -1 (/ (+ A (* -1 (/ (+ (* 1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C))) C))))) |
(* 2 C) |
(* -1 (* C (- (* 2 (/ A C)) 2))) |
(* -1 (* C (- (* -1 (/ (- (* 1/2 (/ (pow B 2) C)) (* 2 A)) C)) 2))) |
(* -1 (* C (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C)) (* 2 A)) C)) 2))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(/ C B) |
(* -1 (* C (- (/ A (* B C)) (/ 1 B)))) |
(* -1 (* C (- (/ A (* B C)) (/ 1 B)))) |
(* -1 (* C (- (/ A (* B C)) (/ 1 B)))) |
(* -1 C) |
(* -1 (* C (+ 1 (* 1/2 (/ (pow B 2) (pow C 2)))))) |
(* -1 (* C (+ 1 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (* 1/2 (/ (pow B 2) (pow C 2))))))) |
(* -1 (* C (+ 1 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (+ (* 1/16 (/ (pow B 6) (pow C 6))) (* 1/2 (/ (pow B 2) (pow C 2)))))))) |
(* 2 C) |
(* -1 (* C (- (* -1/2 (/ (pow B 2) (pow C 2))) 2))) |
(* -1 (* C (- (* 1/8 (/ (pow B 4) (pow C 4))) (+ 2 (* 1/2 (/ (pow B 2) (pow C 2))))))) |
(* -1 (* C (- (* -1/16 (/ (pow B 6) (pow C 6))) (+ 2 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (* 1/2 (/ (pow B 2) (pow C 2)))))))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* -1/2 (/ B (pow C 2))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (+ (* -1/2 (/ B (pow C 2))) (* 1/8 (/ (pow B 3) (pow C 4)))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (+ (* -1/2 (/ B (pow C 2))) (+ (* -1/16 (/ (pow B 5) (pow C 6))) (* 1/8 (/ (pow B 3) (pow C 4))))) (* 2 (/ 1 B))))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(/ (- (* 2 C) (* 2 A)) B) |
(/ (- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(/ (- (* 2 C) (* 2 A)) B) |
(/ (- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(/ (- (* 2 C) (* 2 A)) B) |
(/ (- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(/ (- (* 2 C) (* 2 A)) B) |
(/ (- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(- C A) |
(- (+ C (* 1/2 (/ (pow B 2) (- C A)))) A) |
(- (+ C (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A)))))) A) |
(- (+ C (* (pow B 2) (+ (* (pow B 2) (- (* 1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A)))))) A) |
(* -1/2 (/ (pow B 2) (- C A))) |
(* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A))))) |
(* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(* (pow B 2) (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow (- C A) 7))) (* 1/16 (/ 1 (pow (- C A) 5))))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(* -1/2 (/ B (- C A))) |
(* B (- (* 1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A))))) |
(* B (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(* B (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow (- C A) 7))) (* 1/16 (/ 1 (pow (- C A) 5))))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(* -2 (/ A B)) |
(* -2 (/ A B)) |
(* -2 (/ A B)) |
(* -2 (/ A B)) |
(/ (- C A) B) |
(/ (- C A) B) |
(/ (- C A) B) |
(/ (- C A) B) |
C |
(+ C (* 1/2 (/ (pow B 2) C))) |
(+ C (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow C 3))) (* 1/2 (/ 1 C))))) |
(+ C (* (pow B 2) (+ (* (pow B 2) (- (* 1/16 (/ (pow B 2) (pow C 5))) (* 1/8 (/ 1 (pow C 3))))) (* 1/2 (/ 1 C))))) |
(* -1/2 (/ (pow B 2) C)) |
(* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow C 3))) (* 1/2 (/ 1 C)))) |
(* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow C 5))) (* 1/8 (/ 1 (pow C 3))))) (* 1/2 (/ 1 C)))) |
(* (pow B 2) (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow C 7))) (* 1/16 (/ 1 (pow C 5))))) (* 1/8 (/ 1 (pow C 3))))) (* 1/2 (/ 1 C)))) |
(* -1/2 (/ B C)) |
(* B (- (* 1/8 (/ (pow B 2) (pow C 3))) (* 1/2 (/ 1 C)))) |
(* B (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow C 5))) (* 1/8 (/ 1 (pow C 3))))) (* 1/2 (/ 1 C)))) |
(* B (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow C 7))) (* 1/16 (/ 1 (pow C 5))))) (* 1/8 (/ 1 (pow C 3))))) (* 1/2 (/ 1 C)))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
-1 |
(- (/ C B) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
-1 |
(- (/ C B) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
-1 |
(- (/ C B) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
-1 |
(- (/ C B) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
B |
(* B (+ 1 (* 1/2 (/ (pow (- C A) 2) (pow B 2))))) |
(* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))) |
(* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (+ (* 1/16 (/ (pow (- C A) 6) (pow B 6))) (* 1/2 (/ (pow (- C A) 2) (pow B 2))))))) |
(* -1 B) |
(* B (- (/ C B) (+ 1 (/ A B)))) |
(* B (- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B)))) |
(* B (- (+ (* 1/8 (/ (pow (- C A) 4) (pow B 4))) (/ C B)) (+ 1 (+ (* 1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B))))) |
-1 |
(- (/ C B) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- C A) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
(* -2 (/ A B)) |
(* -2 (/ A B)) |
(* -2 (/ A B)) |
(* -2 (/ A B)) |
(/ (- C A) B) |
(/ (- C A) B) |
(/ (- C A) B) |
(/ (- C A) B) |
B |
(* B (+ 1 (* 1/2 (/ (pow C 2) (pow B 2))))) |
(* B (+ 1 (+ (* -1/8 (/ (pow C 4) (pow B 4))) (* 1/2 (/ (pow C 2) (pow B 2)))))) |
(* B (+ 1 (+ (* -1/8 (/ (pow C 4) (pow B 4))) (+ (* 1/16 (/ (pow C 6) (pow B 6))) (* 1/2 (/ (pow C 2) (pow B 2))))))) |
(* -1 B) |
(* B (- (/ C B) 1)) |
(* B (- (+ (* -1/2 (/ (pow C 2) (pow B 2))) (/ C B)) 1)) |
(* B (- (+ (* 1/8 (/ (pow C 4) (pow B 4))) (/ C B)) (+ 1 (* 1/2 (/ (pow C 2) (pow B 2)))))) |
-1 |
(- (/ C B) 1) |
(- (+ (* -1/2 (/ (pow C 2) (pow B 2))) (/ C B)) 1) |
(- (+ (* -1/2 (/ (pow C 2) (pow B 2))) (+ (* 1/8 (/ (pow C 4) (pow B 4))) (/ C B))) 1) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
1 |
(- (+ 1 (/ C B)) (/ A B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- A C) 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) B))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
1 |
(- (+ 1 (/ C B)) (/ A B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- A C) 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) B))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
1 |
(- (+ 1 (/ C B)) (/ A B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- A C) 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) B))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
1 |
(- (+ 1 (/ C B)) (/ A B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- A C) 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) B))) |
(* -1 B) |
(* -1 (* B (+ 1 (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (* 1/2 (/ (pow (- C A) 2) (pow B 2))))))) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (+ (* 1/16 (/ (pow (- C A) 6) (pow B 6))) (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))))) |
B |
(* -1 (* B (- (* -1 (/ (- C A) B)) 1))) |
(* -1 (* B (- (* -1 (/ (- (+ C (* 1/2 (/ (pow (- C A) 2) B))) A) B)) 1))) |
(* -1 (* B (- (* -1 (/ (- (+ C (* -1 (/ (- (* 1/8 (/ (pow (- C A) 4) (pow B 2))) (* 1/2 (pow (- C A) 2))) B))) A) B)) 1))) |
1 |
(- (+ 1 (/ C B)) (/ A B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- C A) 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- C A) 4) (pow B 2))) (* 1/2 (pow (- C A) 2))) B))) B))) |
(* -2 (/ A B)) |
(* -2 (/ A B)) |
(* -2 (/ A B)) |
(* -2 (/ A B)) |
(/ (- C A) B) |
(/ (- C A) B) |
(/ (- C A) B) |
(/ (- C A) B) |
(* -1 B) |
(* -1 (* B (+ 1 (* 1/2 (/ (pow C 2) (pow B 2)))))) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow C 4) (pow B 4))) (* 1/2 (/ (pow C 2) (pow B 2))))))) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow C 4) (pow B 4))) (+ (* 1/16 (/ (pow C 6) (pow B 6))) (* 1/2 (/ (pow C 2) (pow B 2)))))))) |
B |
(* -1 (* B (- (* -1 (/ C B)) 1))) |
(* -1 (* B (- (* -1 (/ (+ C (* 1/2 (/ (pow C 2) B))) B)) 1))) |
(* -1 (* B (- (* -1 (/ (+ C (* -1 (/ (- (* 1/8 (/ (pow C 4) (pow B 2))) (* 1/2 (pow C 2))) B))) B)) 1))) |
1 |
(+ 1 (/ C B)) |
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(+ 1 (* -1 (/ (+ (* -1 C) (* -1 (/ (+ (* -1/8 (/ (pow C 4) (pow B 2))) (* 1/2 (pow C 2))) B))) B))) |
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(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B) |
(- (+ (* -1 (/ (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* -1/2 (* (/ (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* A (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) B) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
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(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B) |
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(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* -1/2 (* (/ (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
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(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
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(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B) |
(- (+ (* -1 (/ (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* -1/2 (* (/ (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* A (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) B) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
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(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B) |
(- (+ (* -1 (/ (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* -1/2 (* (/ (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* A (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) B) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(sqrt (+ (pow B 2) (pow C 2))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* A (+ (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (* 1/2 (* (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* A (+ (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (* A (+ (* 1/2 (* (sqrt (/ 1 (+ (pow B 2) (pow C 2)))) (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (* 1/2 (* (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3)))))))))) |
(- C (sqrt (+ (pow B 2) (pow C 2)))) |
(- (+ C (* -1 (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(- (+ C (* A (- (* -1/2 (* (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(- (+ C (* A (- (* A (- (* -1/2 (* (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow B 2) (pow C 2)))) (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B) |
(- (+ (* -1 (/ (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* -1/2 (* (/ (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* A (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) B) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(* -2 (/ A B)) |
(* -2 (/ A B)) |
(* -2 (/ A B)) |
(* -2 (/ A B)) |
(/ C B) |
(+ (* -1 (/ A B)) (/ C B)) |
(+ (* -1 (/ A B)) (/ C B)) |
(+ (* -1 (/ A B)) (/ C B)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(* -2 (/ A B)) |
(* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(* -2 (/ A B)) |
(* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(* -2 (/ A B)) |
(* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(* -2 (/ A B)) |
(* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
A |
(* A (+ 1 (* -1 (/ C A)))) |
(* A (+ 1 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2)))))) |
(* A (+ 1 (+ (* -1 (/ C A)) (+ (* 1/2 (/ (* (pow B 2) C) (pow A 3))) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(* -2 A) |
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(* A (- (+ (* -1/2 (/ (pow B 2) (pow A 2))) (/ C A)) (+ 2 (* -1 (/ C A))))) |
(* A (- (+ (* -1/2 (/ (* (pow B 2) C) (pow A 3))) (/ C A)) (+ 2 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(* -2 (/ A B)) |
(* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* -2 (/ A B)) |
(* -2 (/ A B)) |
(* -2 (/ A B)) |
(* -2 (/ A B)) |
(* -1 (/ A B)) |
(* A (- (/ C (* A B)) (/ 1 B))) |
(* A (- (/ C (* A B)) (/ 1 B))) |
(* A (- (/ C (* A B)) (/ 1 B))) |
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(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* -1 A) |
(* -1 (* A (+ 1 (* -1 (/ C A))))) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1/2 (/ (pow B 2) A))) A))))) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1 (/ (+ (* 1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A))) A))))) |
(* 1/2 (/ (pow B 2) A)) |
(* -1 (/ (- (* -1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A)) |
(* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) A)) (* -1/2 (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* -2 (/ A B)) |
(* -2 (/ A B)) |
(* -2 (/ A B)) |
(* -2 (/ A B)) |
(* -1 (/ A B)) |
(* -1 (* A (+ (* -1 (/ C (* A B))) (/ 1 B)))) |
(* -1 (* A (+ (* -1 (/ C (* A B))) (/ 1 B)))) |
(* -1 (* A (+ (* -1 (/ C (* A B))) (/ 1 B)))) |
| Outputs |
|---|
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) A) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) A) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) A) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) A) B)) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) A) B)) (PI.f64))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) A) B)) (PI.f64))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) A) B)) (PI.f64))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) A) B)) (PI.f64))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (PI.f64)) #s(literal 180 binary64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (PI.f64)) #s(literal 180 binary64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (PI.f64)) #s(literal 180 binary64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (PI.f64)) #s(literal 180 binary64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (PI.f64)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 A A))) A) (neg.f64 B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (/.f64 A B) (/.f64 #s(literal 1 binary64) B)) C (/.f64 (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 A A))) A) (neg.f64 B))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 A (/.f64 A (fma.f64 B B (*.f64 A A))))) (/.f64 C B)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (/.f64 A B) (/.f64 #s(literal 1 binary64) B))) C (/.f64 (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 A A))) A) (neg.f64 B))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(fma.f64 (fma.f64 (*.f64 C #s(literal -1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 B B (*.f64 A A)) (fma.f64 B B (*.f64 A A))) (fma.f64 B B (*.f64 A A))))) (/.f64 (*.f64 (*.f64 A C) (-.f64 #s(literal 1 binary64) (*.f64 A (/.f64 A (fma.f64 B B (*.f64 A A)))))) B) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 A (/.f64 A (fma.f64 B B (*.f64 A A))))) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (/.f64 A B) (/.f64 #s(literal 1 binary64) B))) C (/.f64 (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 A A))) A) (neg.f64 B))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (PI.f64)) #s(literal 180 binary64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (PI.f64)) #s(literal 180 binary64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (PI.f64)) #s(literal 180 binary64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (PI.f64)) #s(literal 180 binary64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (PI.f64)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 A A))) A) (neg.f64 B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (/.f64 A B) (/.f64 #s(literal 1 binary64) B)) C (/.f64 (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 A A))) A) (neg.f64 B))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 A (/.f64 A (fma.f64 B B (*.f64 A A))))) (/.f64 C B)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (/.f64 A B) (/.f64 #s(literal 1 binary64) B))) C (/.f64 (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 A A))) A) (neg.f64 B))) |
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(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) B (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) B (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 B C) B) C) #s(literal 1/2 binary64) (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal -1/8 binary64))) (*.f64 B A))) (neg.f64 A))) (neg.f64 A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) B (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) B (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) C) (pow.f64 B #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 B) B) C) C (*.f64 #s(literal 1/4 binary64) (pow.f64 B #s(literal 4 binary64)))) (neg.f64 C))) (*.f64 B A)) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 B) B) C) C (*.f64 #s(literal 1/4 binary64) (pow.f64 B #s(literal 4 binary64)))) B) #s(literal 1/2 binary64))) (neg.f64 A))) (neg.f64 A))) (neg.f64 A)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) A) B)) (PI.f64))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) A) B)) (PI.f64))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) A) B)) (PI.f64))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) A) B)) (PI.f64))) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) A) B)) (PI.f64)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) A) B)) (PI.f64)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) A) B)) (PI.f64)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) A) B)) (PI.f64)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) A) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) A) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) A) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) A) B)) |
(* 1/2 (/ B A)) |
(*.f64 (/.f64 B A) #s(literal 1/2 binary64)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 B (/.f64 C A) B)) A) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) B (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) B (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 B C) B) C) #s(literal 1/2 binary64) (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal -1/8 binary64))) (*.f64 B A))) (neg.f64 A))) (neg.f64 A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) B (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) B (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) C) (pow.f64 B #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 B) B) C) C (*.f64 #s(literal 1/4 binary64) (pow.f64 B #s(literal 4 binary64)))) (neg.f64 C))) (*.f64 B A)) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 B) B) C) C (*.f64 #s(literal 1/4 binary64) (pow.f64 B #s(literal 4 binary64)))) B) #s(literal 1/2 binary64))) (neg.f64 A))) (neg.f64 A))) (neg.f64 A)) |
(* -1 A) |
(neg.f64 A) |
(* -1 (* A (+ 1 (* -1 (/ C A))))) |
(*.f64 (neg.f64 A) (-.f64 #s(literal 1 binary64) (/.f64 C A))) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1/2 (/ (pow B 2) A))) A))))) |
(*.f64 (neg.f64 A) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 B (/.f64 B A)) #s(literal -1/2 binary64) C) A))) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1 (/ (+ (* 1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A))) A))))) |
(*.f64 (neg.f64 A) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 C (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 B (*.f64 B (/.f64 C A)) (*.f64 B B)) A))) A))) |
(* 1/2 (/ (pow B 2) A)) |
(*.f64 (*.f64 B (/.f64 B A)) #s(literal 1/2 binary64)) |
(* -1 (/ (- (* -1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A)) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 B (*.f64 B (/.f64 C A)) (*.f64 B B)))) A) |
(* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) B) B (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 B) B) C) C (*.f64 #s(literal 1/4 binary64) (pow.f64 B #s(literal 4 binary64)))) A) (*.f64 (*.f64 B C) B))) A)) (neg.f64 A)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) A)) (* -1/2 (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) B) B (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) (*.f64 B B) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) C) (pow.f64 B #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 B) B) C) C (*.f64 #s(literal 1/4 binary64) (pow.f64 B #s(literal 4 binary64)))) (neg.f64 C))) A) (fma.f64 (*.f64 (*.f64 (neg.f64 B) B) C) C (*.f64 #s(literal 1/4 binary64) (pow.f64 B #s(literal 4 binary64)))))) A)) (neg.f64 A))) (neg.f64 A)) |
(* 1/2 (/ B A)) |
(*.f64 (/.f64 B A) #s(literal 1/2 binary64)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 B (/.f64 C A) B)) A) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) B (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) B (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 B C) B) C) #s(literal 1/2 binary64) (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal -1/8 binary64))) (*.f64 B A))) (neg.f64 A))) (neg.f64 A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) B (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) B (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) C) (pow.f64 B #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 B) B) C) C (*.f64 #s(literal 1/4 binary64) (pow.f64 B #s(literal 4 binary64)))) (neg.f64 C))) (*.f64 B A)) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 B) B) C) C (*.f64 #s(literal 1/4 binary64) (pow.f64 B #s(literal 4 binary64)))) B) #s(literal 1/2 binary64))) (neg.f64 A))) (neg.f64 A))) (neg.f64 A)) |
(* -2 (/ A B)) |
(*.f64 #s(literal -2 binary64) (/.f64 A B)) |
(* -2 (/ A B)) |
(*.f64 #s(literal -2 binary64) (/.f64 A B)) |
(* -2 (/ A B)) |
(*.f64 #s(literal -2 binary64) (/.f64 A B)) |
(* -2 (/ A B)) |
(*.f64 #s(literal -2 binary64) (/.f64 A B)) |
(* -1 (/ A B)) |
(/.f64 (neg.f64 A) B) |
(* -1 (* A (+ (* -1 (/ C (* A B))) (/ 1 B)))) |
(*.f64 (neg.f64 A) (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 C (*.f64 B A)))) |
(* -1 (* A (+ (* -1 (/ C (* A B))) (/ 1 B)))) |
(*.f64 (neg.f64 A) (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 C (*.f64 B A)))) |
(* -1 (* A (+ (* -1 (/ C (* A B))) (/ 1 B)))) |
(*.f64 (neg.f64 A) (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 C (*.f64 B A)))) |
| 6 594× | lower-*.f32 |
| 6 576× | lower-*.f64 |
| 3 758× | lower-fma.f32 |
| 3 754× | lower-fma.f64 |
| 3 582× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 566 |
| 0 | 86 | 561 |
| 1 | 316 | 525 |
| 2 | 2386 | 525 |
| 0 | 9389 | 392 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B))) |
(*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)))) |
(/.f64 #s(literal 1 binary64) (PI.f64)) |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64)))) (PI.f64))) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64)))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (PI.f64))) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) |
(sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) |
(-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) |
(/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B) |
(*.f64 (/.f64 A B) #s(literal -2 binary64)) |
(/.f64 (-.f64 C A) B) |
(sqrt.f64 (fma.f64 B B (*.f64 C C))) |
(-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) |
(/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (cbrt.f64 (PI.f64)))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (/.f64 #s(literal 1 binary64) (PI.f64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B))) |
(*.f64 #s(literal 1 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64))) |
(pow.f64 (/.f64 (PI.f64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(/.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) #s(literal 1 binary64)) (PI.f64)) |
(/.f64 (*.f64 #s(literal -1 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B))) (neg.f64 (PI.f64))) |
(/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) #s(literal -1 binary64)) (neg.f64 (PI.f64))) |
(/.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(/.f64 (neg.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B))) (neg.f64 (PI.f64))) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B))) |
(*.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B))) (/.f64 #s(literal 1 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) #s(literal 180 binary64)) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) #s(literal 180 binary64))) |
(/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) #s(literal 180 binary64)) (PI.f64)) |
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(exp.f64 (*.f64 (log.f64 (/.f64 B (-.f64 C A))) #s(literal -1 binary64))) |
(+.f64 (/.f64 C B) (*.f64 (neg.f64 A) (/.f64 #s(literal 1 binary64) B))) |
(+.f64 (/.f64 C B) (neg.f64 (/.f64 A B))) |
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C)))) (sqrt.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))))) |
(*.f64 (pow.f64 (fma.f64 B B (*.f64 C C)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 B B (*.f64 C C)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (fma.f64 B B (*.f64 C C)) (*.f64 (+.f64 B C) (-.f64 B C)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 B C) (-.f64 B C))))) |
(*.f64 (sqrt.f64 (*.f64 (fma.f64 B B (*.f64 C C)) (*.f64 (+.f64 B C) (-.f64 B C)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 B C) (-.f64 B C))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 B B) B) (*.f64 (*.f64 B B) B) (*.f64 (*.f64 (*.f64 C C) C) (*.f64 (*.f64 C C) C)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 B B) B) B (*.f64 (*.f64 C C) (-.f64 (*.f64 C C) (*.f64 B B))))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 B B) B) (*.f64 (*.f64 B B) B) (*.f64 (*.f64 (*.f64 C C) C) (*.f64 (*.f64 C C) C)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 B B) B) B (*.f64 (*.f64 C C) (-.f64 (*.f64 C C) (*.f64 B B))))) #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (fma.f64 B B (*.f64 C C)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (fma.f64 B B (*.f64 C C)) (fma.f64 B B (*.f64 C C))) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 B B (*.f64 C C)) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 (*.f64 C C) C) C) (*.f64 (*.f64 (*.f64 B B) B) B))) (sqrt.f64 (-.f64 (*.f64 C C) (*.f64 B B)))) |
(/.f64 (sqrt.f64 (neg.f64 (*.f64 (fma.f64 B B (*.f64 C C)) (*.f64 (+.f64 B C) (-.f64 B C))))) (sqrt.f64 (neg.f64 (*.f64 (+.f64 B C) (-.f64 B C))))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 B B) B) (*.f64 (*.f64 B B) B) (*.f64 (*.f64 (*.f64 C C) C) (*.f64 (*.f64 C C) C))))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 B B) B) B (*.f64 (*.f64 C C) (-.f64 (*.f64 C C) (*.f64 B B))))))) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 B B (*.f64 C C)) (*.f64 (+.f64 B C) (-.f64 B C)))) (sqrt.f64 (*.f64 (+.f64 B C) (-.f64 B C)))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 B B) B) (*.f64 (*.f64 B B) B) (*.f64 (*.f64 (*.f64 C C) C) (*.f64 (*.f64 C C) C)))) (sqrt.f64 (fma.f64 (*.f64 (*.f64 C C) C) C (-.f64 (*.f64 (*.f64 (*.f64 B B) B) B) (*.f64 (*.f64 (*.f64 B B) C) C))))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 B B) B) (*.f64 (*.f64 B B) B) (*.f64 (*.f64 (*.f64 C C) C) (*.f64 (*.f64 C C) C)))) (sqrt.f64 (fma.f64 (*.f64 (*.f64 B B) B) B (*.f64 (*.f64 C C) (-.f64 (*.f64 C C) (*.f64 B B)))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (*.f64 (+.f64 B C) (-.f64 B C)) (*.f64 (fma.f64 B B (*.f64 C C)) (*.f64 (+.f64 B C) (-.f64 B C)))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (*.f64 (*.f64 B B) B) B (*.f64 (*.f64 C C) (-.f64 (*.f64 C C) (*.f64 B B)))) (fma.f64 (*.f64 (*.f64 B B) B) (*.f64 (*.f64 B B) B) (*.f64 (*.f64 (*.f64 C C) C) (*.f64 (*.f64 C C) C)))))) |
(sqrt.f64 (fma.f64 B B (*.f64 C C))) |
(fabs.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C)))) |
(hypot.f64 (exp.f64 (log.f64 C)) (neg.f64 B)) |
(hypot.f64 (exp.f64 (log.f64 C)) B) |
(hypot.f64 (neg.f64 C) (neg.f64 B)) |
(hypot.f64 (neg.f64 C) B) |
(hypot.f64 (neg.f64 B) (exp.f64 (log.f64 C))) |
(hypot.f64 (neg.f64 B) (neg.f64 C)) |
(hypot.f64 (neg.f64 B) C) |
(hypot.f64 B (exp.f64 (log.f64 C))) |
(hypot.f64 B (neg.f64 C)) |
(hypot.f64 B C) |
(hypot.f64 C (neg.f64 B)) |
(hypot.f64 C B) |
(exp.f64 (*.f64 (log.f64 (fma.f64 B B (*.f64 C C))) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C))) |
(*.f64 (-.f64 (*.f64 (*.f64 C C) C) (*.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) (fma.f64 B B (*.f64 C C)))) (/.f64 #s(literal 1 binary64) (fma.f64 C C (fma.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C (fma.f64 B B (*.f64 C C)))))) |
(pow.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C) (-.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 C C (fma.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C (fma.f64 B B (*.f64 C C)))) (-.f64 (*.f64 (*.f64 C C) C) (*.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) (fma.f64 B B (*.f64 C C))))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C)))) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 C C) C) (*.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) (fma.f64 B B (*.f64 C C))))) (neg.f64 (fma.f64 C C (fma.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C (fma.f64 B B (*.f64 C C)))))) |
(/.f64 (-.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C))) (-.f64 C (neg.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) |
(/.f64 (-.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C))) (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C)) |
(/.f64 (-.f64 (*.f64 (*.f64 C C) C) (*.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) (fma.f64 B B (*.f64 C C)))) (fma.f64 C C (-.f64 (fma.f64 B B (*.f64 C C)) (*.f64 C (neg.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C)))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 C C) C) (*.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) (fma.f64 B B (*.f64 C C)))) (fma.f64 C C (fma.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C (fma.f64 B B (*.f64 C C))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C) (-.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 C C (fma.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C (fma.f64 B B (*.f64 C C)))) (-.f64 (*.f64 (*.f64 C C) C) (*.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) (fma.f64 B B (*.f64 C C)))))) |
(fma.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 B B (*.f64 C C))) C) |
(-.f64 (/.f64 (*.f64 C C) (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C)) (/.f64 (fma.f64 B B (*.f64 C C)) (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C))) |
(-.f64 (/.f64 (*.f64 (*.f64 C C) C) (fma.f64 C C (fma.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C (fma.f64 B B (*.f64 C C))))) (/.f64 (*.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) (fma.f64 B B (*.f64 C C))) (fma.f64 C C (fma.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C (fma.f64 B B (*.f64 C C)))))) |
(-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) |
(+.f64 (neg.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C)))) C) |
(+.f64 C (neg.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))))) |
(*.f64 (pow.f64 (/.f64 B (-.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C))) |
(*.f64 (pow.f64 (/.f64 B (-.f64 (*.f64 (*.f64 C C) C) (*.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) (fma.f64 B B (*.f64 C C))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 C C (fma.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C (fma.f64 B B (*.f64 C C)))))) |
(*.f64 (*.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) B)) |
(*.f64 (neg.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) (/.f64 #s(literal 1 binary64) (neg.f64 B))) |
(*.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) (/.f64 #s(literal 1 binary64) B)) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) |
(pow.f64 (/.f64 (/.f64 B (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 B (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (neg.f64 C) (neg.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))))) (neg.f64 B)) |
(/.f64 (*.f64 (-.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C))) (/.f64 #s(literal 1 binary64) B)) (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C)) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 C C) C) (*.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) (fma.f64 B B (*.f64 C C)))) (/.f64 #s(literal 1 binary64) B)) (fma.f64 C C (fma.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C (fma.f64 B B (*.f64 C C))))) |
(/.f64 (*.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) #s(literal -1 binary64)) (neg.f64 B)) |
(/.f64 (*.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) #s(literal 1 binary64)) B) |
(/.f64 (-.f64 (*.f64 (/.f64 C B) (/.f64 C B)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B))) (+.f64 (/.f64 C B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B))) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 C C) C) (*.f64 (*.f64 B B) B)) (/.f64 (*.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) (fma.f64 B B (*.f64 C C))) (*.f64 (*.f64 B B) B))) (fma.f64 (/.f64 C B) (/.f64 C B) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B) (*.f64 (/.f64 C B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) (neg.f64 (neg.f64 B))) |
(/.f64 (*.f64 (-.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C))) #s(literal -1 binary64)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C) (neg.f64 B))) |
(/.f64 (*.f64 (-.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C))) #s(literal 1 binary64)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C) B)) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 C C) C) (*.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) (fma.f64 B B (*.f64 C C)))) #s(literal -1 binary64)) (*.f64 (fma.f64 C C (fma.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C (fma.f64 B B (*.f64 C C)))) (neg.f64 B))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 C C) C) (*.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) (fma.f64 B B (*.f64 C C)))) #s(literal 1 binary64)) (*.f64 (fma.f64 C C (fma.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C (fma.f64 B B (*.f64 C C)))) B)) |
(/.f64 (-.f64 (*.f64 C B) (*.f64 B (sqrt.f64 (fma.f64 B B (*.f64 C C))))) (*.f64 B B)) |
(/.f64 (-.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C))) (*.f64 B (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C))) |
(/.f64 (-.f64 (*.f64 (*.f64 C C) C) (*.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) (fma.f64 B B (*.f64 C C)))) (*.f64 B (fma.f64 C C (fma.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C (fma.f64 B B (*.f64 C C)))))) |
(/.f64 (neg.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) (neg.f64 B)) |
(/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 B (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 B (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B)) |
(neg.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) (neg.f64 B))) |
(fma.f64 C (/.f64 #s(literal 1 binary64) B) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B))) |
(-.f64 (/.f64 C B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B)) |
(exp.f64 (*.f64 (log.f64 (/.f64 B (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) #s(literal -1 binary64))) |
(+.f64 (/.f64 C B) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B))) |
Compiled 38 779 to 3 977 computations (89.7% saved)
16 alts after pruning (14 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 556 | 10 | 1 566 |
| Fresh | 6 | 4 | 10 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 565 | 16 | 1 581 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 44.3% | (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| 23.2% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (fma.f64 (neg.f64 (-.f64 A C)) (-.f64 A C) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (-.f64 C A)) (neg.f64 B)))) (PI.f64))) | |
| 25.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) (*.f64 (*.f64 B (/.f64 B A)) #s(literal 1/2 binary64))))) (PI.f64))) | |
| 24.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C #s(approx (sqrt (+ (* B B) (* C C))) (neg.f64 C))) B))) (PI.f64))) | |
| 16.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 (-.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C))) (/.f64 #s(literal 1 binary64) B)) (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C)))) (PI.f64))) | |
| 39.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(approx (/ (- C A) B) (/.f64 C B)) #s(literal 1 binary64)))) (PI.f64))) | |
| 24.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) | |
| ✓ | 28.0% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64)))) (PI.f64))) |
| ▶ | 23.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) (PI.f64))) |
| 19.6% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64)))) (PI.f64))) | |
| ▶ | 11.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) |
| ✓ | 22.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
| 26.8% | (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) B) B) (-.f64 C A))) B)))) | |
| ▶ | 44.3% | (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B)))) |
| 32.9% | (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B (-.f64 C A)) #s(literal -1/2 binary64)))))) | |
| ▶ | 24.9% | (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))))) |
Compiled 578 to 388 computations (32.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (PI.f64)) | |
| cost-diff | 0 | (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B)))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B))) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (PI.f64)) | |
| cost-diff | 0 | (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64))))) | |
| cost-diff | 0 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))) | |
| cost-diff | 0 | (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) | |
| cost-diff | 0 | (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) (PI.f64)) | |
| cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) (PI.f64))) | |
| cost-diff | 0 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64)) | |
| cost-diff | 0 | (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) | |
| cost-diff | 0 | (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64)) | |
| cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) | |
| cost-diff | 0 | (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B) | |
| cost-diff | 0 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) | |
| cost-diff | 0 | (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) | |
| cost-diff | 0 | (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| 5 328× | lower-fma.f32 |
| 5 326× | lower-fma.f64 |
| 1 648× | lower-*.f32 |
| 1 628× | lower-*.f64 |
| 1 128× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 724 |
| 0 | 89 | 724 |
| 1 | 144 | 694 |
| 2 | 262 | 694 |
| 3 | 530 | 676 |
| 4 | 1182 | 676 |
| 5 | 2144 | 676 |
| 6 | 3518 | 676 |
| 7 | 4744 | 676 |
| 8 | 5733 | 676 |
| 9 | 6182 | 676 |
| 10 | 6207 | 676 |
| 11 | 6214 | 676 |
| 12 | 6284 | 676 |
| 13 | 6457 | 676 |
| 14 | 6607 | 676 |
| 15 | 6667 | 676 |
| 16 | 6720 | 676 |
| 17 | 6720 | 676 |
| 18 | 6808 | 676 |
| 19 | 7352 | 676 |
| 0 | 7352 | 504 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) |
(/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B) |
(-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) |
C |
(sqrt.f64 (fma.f64 B B (*.f64 C C))) |
(fma.f64 B B (*.f64 C C)) |
B |
(*.f64 C C) |
(/.f64 #s(literal 180 binary64) (PI.f64)) |
#s(literal 180 binary64) |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))) |
#s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 B C) #s(literal -1/2 binary64)) |
(/.f64 B C) |
B |
C |
#s(literal -1/2 binary64) |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))))) |
#s(literal 180 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (PI.f64)) |
#s(literal 1 binary64) |
(PI.f64) |
(atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) |
#s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 B A) #s(literal 1/2 binary64)) |
(/.f64 B A) |
B |
A |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B)))) |
#s(literal 180 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B))) |
(/.f64 #s(literal 1 binary64) (PI.f64)) |
#s(literal 1 binary64) |
(PI.f64) |
(atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B)) |
(/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B) |
#s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) |
(-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) |
C |
(sqrt.f64 (fma.f64 B B (*.f64 C C))) |
(fma.f64 B B (*.f64 C C)) |
B |
(*.f64 C C) |
| Outputs |
|---|
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)))) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) |
(/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B) |
(-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) |
C |
(sqrt.f64 (fma.f64 B B (*.f64 C C))) |
(fma.f64 B B (*.f64 C C)) |
B |
(*.f64 C C) |
(/.f64 #s(literal 180 binary64) (PI.f64)) |
#s(literal 180 binary64) |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) (PI.f64)) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) |
#s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))) |
#s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))) |
(*.f64 (/.f64 B C) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 B C)) |
(/.f64 B C) |
B |
C |
#s(literal -1/2 binary64) |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
#s(literal 180 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64))))) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) (PI.f64)) |
(/.f64 #s(literal 1 binary64) (PI.f64)) |
#s(literal 1 binary64) |
(PI.f64) |
(atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) |
#s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))) |
(*.f64 (/.f64 B A) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 B A)) |
(/.f64 B A) |
B |
A |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B)))) |
(*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
#s(literal 180 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B))) |
(/.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B)) (PI.f64)) |
(/.f64 #s(literal 1 binary64) (PI.f64)) |
#s(literal 1 binary64) |
(PI.f64) |
(atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B)) |
(/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B) |
#s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) |
(-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) |
C |
(sqrt.f64 (fma.f64 B B (*.f64 C C))) |
(fma.f64 B B (*.f64 C C)) |
B |
(*.f64 C C) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 2.1279865545692678 | (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B) | |
| accuracy | 8.835084172361531 | (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) | |
| accuracy | 20.96581136189221 | #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) | |
| accuracy | 26.990941835635592 | (sqrt.f64 (fma.f64 B B (*.f64 C C))) | |
| accuracy | 0 | (PI.f64) | |
| accuracy | 0.04296875 | (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))))) | |
| accuracy | 0.078125 | (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64))))) | |
| accuracy | 52.40329302077587 | #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64))) | |
| accuracy | 0.04296875 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) (PI.f64))) | |
| accuracy | 0.07421875 | (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) (PI.f64)) | |
| accuracy | 21.068796048172334 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))) | |
| accuracy | 46.50228812475576 | #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))) | |
| accuracy | 0 | (PI.f64) | |
| accuracy | 0.04296875 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) | |
| accuracy | 0.07421875 | (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64)) | |
| accuracy | 56.70603420056814 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64)) | |
| accuracy | 3.1666109527521527 | (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B) | |
| accuracy | 8.835084172361531 | (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) | |
| accuracy | 21.068796048172334 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) | |
| accuracy | 26.990941835635592 | (sqrt.f64 (fma.f64 B B (*.f64 C C))) |
| 144.0ms | 164× | 0 | valid |
| 39.0ms | 39× | 2 | valid |
| 23.0ms | 39× | 1 | valid |
| 15.0ms | 14× | 3 | valid |
Compiled 538 to 42 computations (92.2% saved)
ival-mult: 21.0ms (21.7% of total)ival-div: 17.0ms (17.6% of total)ival-hypot: 14.0ms (14.5% of total)adjust: 12.0ms (12.4% of total)ival-sub: 11.0ms (11.4% of total)ival-pow2: 6.0ms (6.2% of total)ival-atan: 5.0ms (5.2% of total)ival-sqrt: 4.0ms (4.1% of total)ival-add: 3.0ms (3.1% of total)ival-pi: 1.0ms (1% of total)exact: 1.0ms (1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) (patch (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) #<representation binary64>) () ()) |
#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B) (patch (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64)) (patch (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64)) #<representation binary64>) () ()) |
#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64)) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) (PI.f64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) (PI.f64)) (patch (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) (PI.f64)) #<representation binary64>) () ()) |
#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64))))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))))) (patch (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (PI.f64)) (patch (/.f64 #s(literal 1 binary64) (PI.f64)) #<representation binary64>) () ()) |
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B)))) (patch (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 B B (*.f64 C C))) (patch (sqrt.f64 (fma.f64 B B (*.f64 C C))) #<representation binary64>) () ()) |
#s(alt (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) (patch (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))) (patch #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) (patch #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B) (patch (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor 0 C) (#s(alt (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) (patch (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor 0 C) (#s(alt (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) (patch (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor 0 C) (#s(alt (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) (patch (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor 0 C) (#s(alt (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) (patch (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (taylor 0 C) (#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (taylor 0 C) (#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (taylor 0 C) (#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (taylor 0 C) (#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (taylor 0 C) (#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) (taylor 0 C) (#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) (taylor 0 C) (#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) (taylor 0 C) (#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 C) (#s(alt (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B) (patch (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B) #<representation binary64>) () ())) ()) |
#s(alt (- (/ C B) 1) (taylor 0 C) (#s(alt (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B) (patch (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B) #<representation binary64>) () ())) ()) |
#s(alt (- (* C (+ (* -1/2 (/ C (pow B 2))) (/ 1 B))) 1) (taylor 0 C) (#s(alt (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B) (patch (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B) #<representation binary64>) () ())) ()) |
#s(alt (- (* C (+ (* C (- (* 1/8 (/ (pow C 2) (pow B 4))) (* 1/2 (/ 1 (pow B 2))))) (/ 1 B))) 1) (taylor 0 C) (#s(alt (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B) (patch (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor 0 C) (#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor 0 C) (#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor 0 C) (#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor 0 C) (#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) (taylor 0 C) (#s(alt (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64)) (patch (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) (taylor 0 C) (#s(alt (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64)) (patch (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64)) #<representation binary64>) () ())) ()) |
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#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) (taylor inf C) (#s(alt (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))))) (patch (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) (taylor inf C) (#s(alt (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))))) (patch (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) (taylor inf C) (#s(alt (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))))) (patch (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) (taylor inf C) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B))) #<representation binary64>) () ())) ()) |
#s(alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) (taylor inf C) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B))) #<representation binary64>) () ())) ()) |
#s(alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) (taylor inf C) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B))) #<representation binary64>) () ())) ()) |
#s(alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) (taylor inf C) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) (taylor inf C) (#s(alt (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B)))) (patch (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B)))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) (taylor inf C) (#s(alt (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B)))) (patch (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B)))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) (taylor inf C) (#s(alt (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B)))) (patch (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B)))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) (taylor inf C) (#s(alt (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B)))) (patch (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B)))) #<representation binary64>) () ())) ()) |
#s(alt C (taylor inf C) (#s(alt (sqrt.f64 (fma.f64 B B (*.f64 C C))) (patch (sqrt.f64 (fma.f64 B B (*.f64 C C))) #<representation binary64>) () ())) ()) |
#s(alt (* C (+ 1 (* 1/2 (/ (pow B 2) (pow C 2))))) (taylor inf C) (#s(alt (sqrt.f64 (fma.f64 B B (*.f64 C C))) (patch (sqrt.f64 (fma.f64 B B (*.f64 C C))) #<representation binary64>) () ())) ()) |
#s(alt (* C (+ 1 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (* 1/2 (/ (pow B 2) (pow C 2)))))) (taylor inf C) (#s(alt (sqrt.f64 (fma.f64 B B (*.f64 C C))) (patch (sqrt.f64 (fma.f64 B B (*.f64 C C))) #<representation binary64>) () ())) ()) |
#s(alt (* C (+ 1 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (+ (* 1/16 (/ (pow B 6) (pow C 6))) (* 1/2 (/ (pow B 2) (pow C 2))))))) (taylor inf C) (#s(alt (sqrt.f64 (fma.f64 B B (*.f64 C C))) (patch (sqrt.f64 (fma.f64 B B (*.f64 C C))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ (pow B 2) C)) (taylor inf C) (#s(alt (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) (patch (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* 1/8 (/ (pow B 4) (pow C 2))) (* 1/2 (pow B 2))) C) (taylor inf C) (#s(alt (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) (patch (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1/16 (/ (pow B 6) (pow C 4))) (+ (* -1/8 (/ (pow B 4) (pow C 2))) (* 1/2 (pow B 2)))) C) (taylor inf C) (#s(alt (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) (patch (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* 1/2 (/ (+ (* 1/64 (pow B 8)) (* 1/16 (pow B 8))) (pow C 6))) (+ (* -1/8 (/ (pow B 4) (pow C 2))) (+ (* 1/16 (/ (pow B 6) (pow C 4))) (* 1/2 (pow B 2))))) C) (taylor inf C) (#s(alt (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) (patch (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ B C)) (taylor inf C) (#s(alt #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))) (patch #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 B) (* 1/8 (/ (pow B 3) (pow C 2)))) C) (taylor inf C) (#s(alt #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))) (patch #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 B) (+ (* -1/16 (/ (pow B 5) (pow C 4))) (* 1/8 (/ (pow B 3) (pow C 2))))) C) (taylor inf C) (#s(alt #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))) (patch #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 B) (+ (* -1/16 (/ (pow B 5) (pow C 4))) (+ (* 1/8 (/ (pow B 3) (pow C 2))) (* 1/2 (/ (+ (* 1/64 (pow B 8)) (* 1/16 (pow B 8))) (* B (pow C 6))))))) C) (taylor inf C) (#s(alt #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))) (patch #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ A (* -1 A)) B)) (taylor inf C) (#s(alt #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) (taylor inf C) (#s(alt #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) (taylor inf C) (#s(alt #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) (taylor inf C) (#s(alt #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (+ A (* -1 A))) (taylor inf C) (#s(alt #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) (patch #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1/2 (/ (pow B 2) C)) (+ A (* -1 A))) (taylor inf C) (#s(alt #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) (patch #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1/2 (/ (* A (pow B 2)) (pow C 2))) (+ A (+ (* -1 A) (* 1/2 (/ (pow B 2) C))))) (taylor inf C) (#s(alt #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) (patch #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (pow C 3))) (+ A (+ (* -1 A) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 2))) (* 1/2 (/ (pow B 2) C)))))) (taylor inf C) (#s(alt #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) (patch #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ A (* -1 A)) B)) (taylor inf C) (#s(alt (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B) (patch (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) (taylor inf C) (#s(alt (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B) (patch (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) (taylor inf C) (#s(alt (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B) (patch (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) (taylor inf C) (#s(alt (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B) (patch (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) (taylor -inf C) (#s(alt (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) (patch (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) (taylor -inf C) (#s(alt (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) (patch (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) (taylor -inf C) (#s(alt (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) (patch (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) (taylor -inf C) (#s(alt (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) (patch (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) (taylor -inf A) (#s(alt #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) (taylor -inf A) (#s(alt #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (pow B 2) A)) (taylor -inf A) (#s(alt #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) (patch #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A)) (taylor -inf A) (#s(alt #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) (patch #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) (taylor -inf A) (#s(alt #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) (patch #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) A)) (* -1/2 (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) (taylor -inf A) (#s(alt #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) (patch #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ B A)) (taylor -inf A) (#s(alt (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B) (patch (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) (taylor -inf A) (#s(alt (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B) (patch (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) (taylor -inf A) (#s(alt (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B) (patch (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) (taylor -inf A) (#s(alt (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B) (patch (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | C | @ | inf | ((* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (/ 180 (PI))) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/ (- C (sqrt (+ (* B B) (* C C)))) B) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (* (/ 1 (PI)) (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B))) (* 180 (* (/ 1 (PI)) (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B)))) (/ 1 (PI)) (PI) (* (/ 1 (PI)) (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B))) (* 180 (* (/ 1 (PI)) (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B)))) (sqrt (+ (* B B) (* C C))) (- C (sqrt (+ (* B B) (* C C)))) (/ (- C (sqrt (+ (* B B) (* C C)))) B) (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B)) |
| 1.0ms | C | @ | 0 | ((* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (/ 180 (PI))) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/ (- C (sqrt (+ (* B B) (* C C)))) B) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (* (/ 1 (PI)) (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B))) (* 180 (* (/ 1 (PI)) (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B)))) (/ 1 (PI)) (PI) (* (/ 1 (PI)) (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B))) (* 180 (* (/ 1 (PI)) (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B)))) (sqrt (+ (* B B) (* C C))) (- C (sqrt (+ (* B B) (* C C)))) (/ (- C (sqrt (+ (* B B) (* C C)))) B) (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B)) |
| 1.0ms | B | @ | -inf | ((* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (/ 180 (PI))) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/ (- C (sqrt (+ (* B B) (* C C)))) B) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (* (/ 1 (PI)) (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B))) (* 180 (* (/ 1 (PI)) (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B)))) (/ 1 (PI)) (PI) (* (/ 1 (PI)) (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B))) (* 180 (* (/ 1 (PI)) (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B)))) (sqrt (+ (* B B) (* C C))) (- C (sqrt (+ (* B B) (* C C)))) (/ (- C (sqrt (+ (* B B) (* C C)))) B) (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B)) |
| 1.0ms | B | @ | 0 | ((* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (/ 180 (PI))) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/ (- C (sqrt (+ (* B B) (* C C)))) B) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (* (/ 1 (PI)) (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B))) (* 180 (* (/ 1 (PI)) (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B)))) (/ 1 (PI)) (PI) (* (/ 1 (PI)) (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B))) (* 180 (* (/ 1 (PI)) (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B)))) (sqrt (+ (* B B) (* C C))) (- C (sqrt (+ (* B B) (* C C)))) (/ (- C (sqrt (+ (* B B) (* C C)))) B) (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B)) |
| 1.0ms | B | @ | inf | ((* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (/ 180 (PI))) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/ (- C (sqrt (+ (* B B) (* C C)))) B) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (* (/ 1 (PI)) (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B))) (* 180 (* (/ 1 (PI)) (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B)))) (/ 1 (PI)) (PI) (* (/ 1 (PI)) (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B))) (* 180 (* (/ 1 (PI)) (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B)))) (sqrt (+ (* B B) (* C C))) (- C (sqrt (+ (* B B) (* C C)))) (/ (- C (sqrt (+ (* B B) (* C C)))) B) (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B)) |
| 1× | egg-herbie |
| 8 056× | lower-fma.f64 |
| 8 056× | lower-fma.f32 |
| 5 808× | lower-*.f64 |
| 5 808× | lower-*.f32 |
| 3 450× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 783 | 15915 |
| 1 | 2286 | 15539 |
| 2 | 6776 | 15443 |
| 0 | 8259 | 12568 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
-1 |
(- (/ C B) 1) |
(- (* C (+ (* -1/2 (/ C (pow B 2))) (/ 1 B))) 1) |
(- (* C (+ (* C (- (* 1/8 (/ (pow C 2) (pow B 4))) (* 1/2 (/ 1 (pow B 2))))) (/ 1 B))) 1) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
B |
(+ B (* 1/2 (/ (pow C 2) B))) |
(+ B (* (pow C 2) (+ (* -1/8 (/ (pow C 2) (pow B 3))) (* 1/2 (/ 1 B))))) |
(+ B (* (pow C 2) (+ (* (pow C 2) (- (* 1/16 (/ (pow C 2) (pow B 5))) (* 1/8 (/ 1 (pow B 3))))) (* 1/2 (/ 1 B))))) |
(* -1 B) |
(- C B) |
(- (* C (+ 1 (* -1/2 (/ C B)))) B) |
(- (* C (+ 1 (* C (- (* 1/8 (/ (pow C 2) (pow B 3))) (* 1/2 (/ 1 B)))))) B) |
-1 |
(- (/ C B) 1) |
(- (* C (+ (* -1/2 (/ C (pow B 2))) (/ 1 B))) 1) |
(- (* C (+ (* C (- (* 1/8 (/ (pow C 2) (pow B 4))) (* 1/2 (/ 1 (pow B 2))))) (/ 1 B))) 1) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(* -1 (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(- (* C (- 1 (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(- (* C (- (+ 1 (* -1/2 (* (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(- (* C (- (+ 1 (* C (- (* -1/2 (* (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow A 2) (pow B 2)))) (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(* -1 (/ (+ A (* -1 A)) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
(* -1/2 (/ B C)) |
(/ (+ (* -1/2 B) (* 1/8 (/ (pow B 3) (pow C 2)))) C) |
(/ (+ (* -1/2 B) (+ (* -1/16 (/ (pow B 5) (pow C 4))) (* 1/8 (/ (pow B 3) (pow C 2))))) C) |
(/ (+ (* -1/2 B) (+ (* -1/16 (/ (pow B 5) (pow C 4))) (+ (* 1/8 (/ (pow B 3) (pow C 2))) (* 1/2 (/ (+ (* 1/64 (pow B 8)) (* 1/16 (pow B 8))) (* B (pow C 6))))))) C) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(* -1 (/ (+ A (* -1 A)) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(* -1 (/ (+ A (* -1 A)) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
C |
(* C (+ 1 (* 1/2 (/ (pow B 2) (pow C 2))))) |
(* C (+ 1 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (* 1/2 (/ (pow B 2) (pow C 2)))))) |
(* C (+ 1 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (+ (* 1/16 (/ (pow B 6) (pow C 6))) (* 1/2 (/ (pow B 2) (pow C 2))))))) |
(* -1/2 (/ (pow B 2) C)) |
(/ (- (* 1/8 (/ (pow B 4) (pow C 2))) (* 1/2 (pow B 2))) C) |
(/ (- (* -1/16 (/ (pow B 6) (pow C 4))) (+ (* -1/8 (/ (pow B 4) (pow C 2))) (* 1/2 (pow B 2)))) C) |
(/ (- (* 1/2 (/ (+ (* 1/64 (pow B 8)) (* 1/16 (pow B 8))) (pow C 6))) (+ (* -1/8 (/ (pow B 4) (pow C 2))) (+ (* 1/16 (/ (pow B 6) (pow C 4))) (* 1/2 (pow B 2))))) C) |
(* -1/2 (/ B C)) |
(/ (+ (* -1/2 B) (* 1/8 (/ (pow B 3) (pow C 2)))) C) |
(/ (+ (* -1/2 B) (+ (* -1/16 (/ (pow B 5) (pow C 4))) (* 1/8 (/ (pow B 3) (pow C 2))))) C) |
(/ (+ (* -1/2 B) (+ (* -1/16 (/ (pow B 5) (pow C 4))) (+ (* 1/8 (/ (pow B 3) (pow C 2))) (* 1/2 (/ (+ (* 1/64 (pow B 8)) (* 1/16 (pow B 8))) (* B (pow C 6))))))) C) |
(* -1 (/ (+ A (* -1 A)) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
(* -1 (+ A (* -1 A))) |
(- (* -1/2 (/ (pow B 2) C)) (+ A (* -1 A))) |
(- (* -1/2 (/ (* A (pow B 2)) (pow C 2))) (+ A (+ (* -1 A) (* 1/2 (/ (pow B 2) C))))) |
(- (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (pow C 3))) (+ A (+ (* -1 A) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 2))) (* 1/2 (/ (pow B 2) C)))))) |
(* -1 (/ (+ A (* -1 A)) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* -1/2 (/ B (pow C 2))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (+ (* -1/2 (/ B (pow C 2))) (* 1/8 (/ (pow B 3) (pow C 4)))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (+ (* -1/2 (/ B (pow C 2))) (+ (* -1/16 (/ (pow B 5) (pow C 6))) (* 1/8 (/ (pow B 3) (pow C 4))))) (* 2 (/ 1 B))))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* -1 C) |
(* -1 (* C (+ 1 (* 1/2 (/ (pow B 2) (pow C 2)))))) |
(* -1 (* C (+ 1 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (* 1/2 (/ (pow B 2) (pow C 2))))))) |
(* -1 (* C (+ 1 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (+ (* 1/16 (/ (pow B 6) (pow C 6))) (* 1/2 (/ (pow B 2) (pow C 2)))))))) |
(* 2 C) |
(* -1 (* C (- (* -1/2 (/ (pow B 2) (pow C 2))) 2))) |
(* -1 (* C (- (* 1/8 (/ (pow B 4) (pow C 4))) (+ 2 (* 1/2 (/ (pow B 2) (pow C 2))))))) |
(* -1 (* C (- (* -1/16 (/ (pow B 6) (pow C 6))) (+ 2 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (* 1/2 (/ (pow B 2) (pow C 2)))))))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* -1/2 (/ B (pow C 2))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (+ (* -1/2 (/ B (pow C 2))) (* 1/8 (/ (pow B 3) (pow C 4)))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (+ (* -1/2 (/ B (pow C 2))) (+ (* -1/16 (/ (pow B 5) (pow C 6))) (* 1/8 (/ (pow B 3) (pow C 4))))) (* 2 (/ 1 B))))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(* 2 C) |
(* -1 (* C (- (* 2 (/ A C)) 2))) |
(* -1 (* C (- (* -1 (/ (- (* 1/2 (/ (pow B 2) C)) (* 2 A)) C)) 2))) |
(* -1 (* C (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C)) (* 2 A)) C)) 2))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(/ (- (* 2 C) (* 2 A)) B) |
(/ (- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(* -1/2 (/ B C)) |
(* B (- (* 1/8 (/ (pow B 2) (pow C 3))) (* 1/2 (/ 1 C)))) |
(* B (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow C 5))) (* 1/8 (/ 1 (pow C 3))))) (* 1/2 (/ 1 C)))) |
(* B (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow C 7))) (* 1/16 (/ 1 (pow C 5))))) (* 1/8 (/ 1 (pow C 3))))) (* 1/2 (/ 1 C)))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(/ (- (* 2 C) (* 2 A)) B) |
(/ (- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(/ (- (* 2 C) (* 2 A)) B) |
(/ (- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
C |
(+ C (* 1/2 (/ (pow B 2) C))) |
(+ C (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow C 3))) (* 1/2 (/ 1 C))))) |
(+ C (* (pow B 2) (+ (* (pow B 2) (- (* 1/16 (/ (pow B 2) (pow C 5))) (* 1/8 (/ 1 (pow C 3))))) (* 1/2 (/ 1 C))))) |
(* -1/2 (/ (pow B 2) C)) |
(* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow C 3))) (* 1/2 (/ 1 C)))) |
(* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow C 5))) (* 1/8 (/ 1 (pow C 3))))) (* 1/2 (/ 1 C)))) |
(* (pow B 2) (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow C 7))) (* 1/16 (/ 1 (pow C 5))))) (* 1/8 (/ 1 (pow C 3))))) (* 1/2 (/ 1 C)))) |
(* -1/2 (/ B C)) |
(* B (- (* 1/8 (/ (pow B 2) (pow C 3))) (* 1/2 (/ 1 C)))) |
(* B (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow C 5))) (* 1/8 (/ 1 (pow C 3))))) (* 1/2 (/ 1 C)))) |
(* B (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow C 7))) (* 1/16 (/ 1 (pow C 5))))) (* 1/8 (/ 1 (pow C 3))))) (* 1/2 (/ 1 C)))) |
(* -1/2 (/ B (- C A))) |
(* B (- (* 1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A))))) |
(* B (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(* B (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow (- C A) 7))) (* 1/16 (/ 1 (pow (- C A) 5))))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(* -1/2 (/ (pow B 2) (- C A))) |
(* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A))))) |
(* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(* (pow B 2) (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow (- C A) 7))) (* 1/16 (/ 1 (pow (- C A) 5))))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(* -1/2 (/ B (- C A))) |
(* B (- (* 1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A))))) |
(* B (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(* B (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow (- C A) 7))) (* 1/16 (/ 1 (pow (- C A) 5))))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
-1 |
(- (/ C B) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
-1 |
(- (/ C B) 1) |
(- (+ (* -1/2 (/ (pow C 2) (pow B 2))) (/ C B)) 1) |
(- (+ (* -1/2 (/ (pow C 2) (pow B 2))) (+ (* 1/8 (/ (pow C 4) (pow B 4))) (/ C B))) 1) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
-1 |
(- (/ C B) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
-1 |
(- (/ C B) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
B |
(* B (+ 1 (* 1/2 (/ (pow C 2) (pow B 2))))) |
(* B (+ 1 (+ (* -1/8 (/ (pow C 4) (pow B 4))) (* 1/2 (/ (pow C 2) (pow B 2)))))) |
(* B (+ 1 (+ (* -1/8 (/ (pow C 4) (pow B 4))) (+ (* 1/16 (/ (pow C 6) (pow B 6))) (* 1/2 (/ (pow C 2) (pow B 2))))))) |
(* -1 B) |
(* B (- (/ C B) 1)) |
(* B (- (+ (* -1/2 (/ (pow C 2) (pow B 2))) (/ C B)) 1)) |
(* B (- (+ (* 1/8 (/ (pow C 4) (pow B 4))) (/ C B)) (+ 1 (* 1/2 (/ (pow C 2) (pow B 2)))))) |
-1 |
(- (/ C B) 1) |
(- (+ (* -1/2 (/ (pow C 2) (pow B 2))) (/ C B)) 1) |
(- (+ (* -1/2 (/ (pow C 2) (pow B 2))) (+ (* 1/8 (/ (pow C 4) (pow B 4))) (/ C B))) 1) |
-1 |
(- (/ C B) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- C A) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
(* -1 B) |
(* B (- (/ C B) (+ 1 (/ A B)))) |
(* B (- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B)))) |
(* B (- (+ (* 1/8 (/ (pow (- C A) 4) (pow B 4))) (/ C B)) (+ 1 (+ (* 1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B))))) |
-1 |
(- (/ C B) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- C A) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
1 |
(- (+ 1 (/ C B)) (/ A B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- A C) 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) B))) |
1 |
(+ 1 (/ C B)) |
(+ 1 (* -1 (/ (+ (* -1 C) (* -1/2 (/ (pow C 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 C) (* -1 (/ (+ (* -1/8 (/ (pow C 4) (pow B 2))) (* 1/2 (pow C 2))) B))) B))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
1 |
(- (+ 1 (/ C B)) (/ A B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- A C) 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) B))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
1 |
(- (+ 1 (/ C B)) (/ A B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- A C) 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) B))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* -1 B) |
(* -1 (* B (+ 1 (* 1/2 (/ (pow C 2) (pow B 2)))))) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow C 4) (pow B 4))) (* 1/2 (/ (pow C 2) (pow B 2))))))) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow C 4) (pow B 4))) (+ (* 1/16 (/ (pow C 6) (pow B 6))) (* 1/2 (/ (pow C 2) (pow B 2)))))))) |
B |
(* -1 (* B (- (* -1 (/ C B)) 1))) |
(* -1 (* B (- (* -1 (/ (+ C (* 1/2 (/ (pow C 2) B))) B)) 1))) |
(* -1 (* B (- (* -1 (/ (+ C (* -1 (/ (- (* 1/8 (/ (pow C 4) (pow B 2))) (* 1/2 (pow C 2))) B))) B)) 1))) |
1 |
(+ 1 (/ C B)) |
(+ 1 (* -1 (/ (+ (* -1 C) (* -1/2 (/ (pow C 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 C) (* -1 (/ (+ (* -1/8 (/ (pow C 4) (pow B 2))) (* 1/2 (pow C 2))) B))) B))) |
1 |
(- (+ 1 (/ C B)) (/ A B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- C A) 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- C A) 4) (pow B 2))) (* 1/2 (pow (- C A) 2))) B))) B))) |
B |
(* -1 (* B (- (* -1 (/ (- C A) B)) 1))) |
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1 |
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* 1/2 (/ (pow B 2) A)) |
(* -1 (/ (- (* -1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A)) |
(* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) A)) (* -1/2 (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
| Outputs |
|---|
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) #s(literal 180 binary64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) #s(literal 180 binary64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) #s(literal 180 binary64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) #s(literal 180 binary64)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 A A))) A) (neg.f64 B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (/.f64 A B) (/.f64 #s(literal 1 binary64) B)) C (/.f64 (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 A A))) A) (neg.f64 B))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) C) (*.f64 (/.f64 (fma.f64 (neg.f64 A) (/.f64 A (fma.f64 B B (*.f64 A A))) #s(literal 1 binary64)) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (/.f64 A B) (/.f64 #s(literal 1 binary64) B))) C (/.f64 (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 A A))) A) (neg.f64 B))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) C) (fma.f64 (/.f64 (fma.f64 (neg.f64 A) (/.f64 A (fma.f64 B B (*.f64 A A))) #s(literal 1 binary64)) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 B B (*.f64 A A)) (fma.f64 B B (*.f64 A A))) (fma.f64 B B (*.f64 A A))))) (*.f64 (*.f64 (fma.f64 (neg.f64 A) (/.f64 A (fma.f64 B B (*.f64 A A))) #s(literal 1 binary64)) (/.f64 C B)) A))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (/.f64 A B) (/.f64 #s(literal 1 binary64) B))) C (/.f64 (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 A A))) A) (neg.f64 B))) |
-1 |
#s(literal -1 binary64) |
(- (/ C B) 1) |
(-.f64 (/.f64 C B) #s(literal 1 binary64)) |
(- (* C (+ (* -1/2 (/ C (pow B 2))) (/ 1 B))) 1) |
(fma.f64 (fma.f64 (/.f64 C (*.f64 B B)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) B)) C #s(literal -1 binary64)) |
(- (* C (+ (* C (- (* 1/8 (/ (pow C 2) (pow B 4))) (* 1/2 (/ 1 (pow B 2))))) (/ 1 B))) 1) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 C C) (*.f64 (*.f64 B B) (*.f64 B B))) #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 B B))) C (/.f64 #s(literal 1 binary64) B)) C #s(literal -1 binary64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) #s(literal 180 binary64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) #s(literal 180 binary64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) #s(literal 180 binary64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) #s(literal 180 binary64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 A A))) A) (neg.f64 B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (/.f64 A B) (/.f64 #s(literal 1 binary64) B)) C (/.f64 (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 A A))) A) (neg.f64 B))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) C) (*.f64 (/.f64 (fma.f64 (neg.f64 A) (/.f64 A (fma.f64 B B (*.f64 A A))) #s(literal 1 binary64)) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (/.f64 A B) (/.f64 #s(literal 1 binary64) B))) C (/.f64 (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 A A))) A) (neg.f64 B))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) C) (fma.f64 (/.f64 (fma.f64 (neg.f64 A) (/.f64 A (fma.f64 B B (*.f64 A A))) #s(literal 1 binary64)) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 B B (*.f64 A A)) (fma.f64 B B (*.f64 A A))) (fma.f64 B B (*.f64 A A))))) (*.f64 (*.f64 (fma.f64 (neg.f64 A) (/.f64 A (fma.f64 B B (*.f64 A A))) #s(literal 1 binary64)) (/.f64 C B)) A))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (/.f64 A B) (/.f64 #s(literal 1 binary64) B))) C (/.f64 (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 A A))) A) (neg.f64 B))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) #s(literal 180 binary64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) #s(literal 180 binary64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) #s(literal 180 binary64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) #s(literal 180 binary64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 A A))) A) (neg.f64 B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (/.f64 A B) (/.f64 #s(literal 1 binary64) B)) C (/.f64 (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 A A))) A) (neg.f64 B))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) C) (*.f64 (/.f64 (fma.f64 (neg.f64 A) (/.f64 A (fma.f64 B B (*.f64 A A))) #s(literal 1 binary64)) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (/.f64 A B) (/.f64 #s(literal 1 binary64) B))) C (/.f64 (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 A A))) A) (neg.f64 B))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) C) (fma.f64 (/.f64 (fma.f64 (neg.f64 A) (/.f64 A (fma.f64 B B (*.f64 A A))) #s(literal 1 binary64)) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 B B (*.f64 A A)) (fma.f64 B B (*.f64 A A))) (fma.f64 B B (*.f64 A A))))) (*.f64 (*.f64 (fma.f64 (neg.f64 A) (/.f64 A (fma.f64 B B (*.f64 A A))) #s(literal 1 binary64)) (/.f64 C B)) A))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (/.f64 A B) (/.f64 #s(literal 1 binary64) B))) C (/.f64 (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 A A))) A) (neg.f64 B))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
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(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) |
(* 1/2 (/ B A)) |
(*.f64 (/.f64 B A) #s(literal 1/2 binary64)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 C A) B B) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) B (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) B (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 B B) (*.f64 B B)) (*.f64 (*.f64 (*.f64 (*.f64 B C) B) C) #s(literal 1/2 binary64))) (*.f64 B A))) (neg.f64 A))) (neg.f64 A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) B (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) B (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) C) (*.f64 (*.f64 B B) (*.f64 B B)) (*.f64 (fma.f64 (*.f64 (neg.f64 C) C) (*.f64 B B) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 B B) (*.f64 B B)))) (neg.f64 C))) (*.f64 B A)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 B C) B) C) #s(literal -1/2 binary64))) B)) (neg.f64 A))) (neg.f64 A))) (neg.f64 A)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) #s(literal 180 binary64)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) #s(literal 180 binary64)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) #s(literal 180 binary64)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) #s(literal 180 binary64)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) |
(* 1/2 (/ B A)) |
(*.f64 (/.f64 B A) #s(literal 1/2 binary64)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 C A) B B) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) B (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) B (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 B B) (*.f64 B B)) (*.f64 (*.f64 (*.f64 (*.f64 B C) B) C) #s(literal 1/2 binary64))) (*.f64 B A))) (neg.f64 A))) (neg.f64 A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) B (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) B (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) C) (*.f64 (*.f64 B B) (*.f64 B B)) (*.f64 (fma.f64 (*.f64 (neg.f64 C) C) (*.f64 B B) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 B B) (*.f64 B B)))) (neg.f64 C))) (*.f64 B A)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 B C) B) C) #s(literal -1/2 binary64))) B)) (neg.f64 A))) (neg.f64 A))) (neg.f64 A)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) #s(literal 180 binary64)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) #s(literal 180 binary64)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) #s(literal 180 binary64)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) #s(literal 180 binary64)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) #s(literal 180 binary64)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) #s(literal 180 binary64)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) #s(literal 180 binary64)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) #s(literal 180 binary64)) |
(* 1/2 (/ B A)) |
(*.f64 (/.f64 B A) #s(literal 1/2 binary64)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 C A) B B) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) B (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) B (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 B B) (*.f64 B B)) (*.f64 (*.f64 (*.f64 (*.f64 B C) B) C) #s(literal 1/2 binary64))) (*.f64 B A))) (neg.f64 A))) (neg.f64 A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) B (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) B (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) C) (*.f64 (*.f64 B B) (*.f64 B B)) (*.f64 (fma.f64 (*.f64 (neg.f64 C) C) (*.f64 B B) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 B B) (*.f64 B B)))) (neg.f64 C))) (*.f64 B A)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 B C) B) C) #s(literal -1/2 binary64))) B)) (neg.f64 A))) (neg.f64 A))) (neg.f64 A)) |
(* 1/2 (/ (pow B 2) A)) |
(*.f64 (*.f64 B (/.f64 B A)) #s(literal 1/2 binary64)) |
(* -1 (/ (- (* -1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 B (*.f64 (/.f64 C A) B) (*.f64 B B))) A) |
(* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 C) C) (*.f64 B B) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 B B) (*.f64 B B)))) A) (*.f64 (*.f64 B C) B)) A) (*.f64 #s(literal 1/2 binary64) (*.f64 B B))) A) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) A)) (* -1/2 (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) (*.f64 B B) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) C) (*.f64 (*.f64 B B) (*.f64 B B)) (*.f64 (fma.f64 (*.f64 (neg.f64 C) C) (*.f64 B B) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 B B) (*.f64 B B)))) (neg.f64 C))) A) (fma.f64 (*.f64 (neg.f64 C) C) (*.f64 B B) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 B B) (*.f64 B B))))) A))) A) (*.f64 #s(literal 1/2 binary64) (*.f64 B B))) A) |
(* 1/2 (/ B A)) |
(*.f64 (/.f64 B A) #s(literal 1/2 binary64)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 C A) B B) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) B (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) B (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 B B) (*.f64 B B)) (*.f64 (*.f64 (*.f64 (*.f64 B C) B) C) #s(literal 1/2 binary64))) (*.f64 B A))) (neg.f64 A))) (neg.f64 A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) B (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) B (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) C) (*.f64 (*.f64 B B) (*.f64 B B)) (*.f64 (fma.f64 (*.f64 (neg.f64 C) C) (*.f64 B B) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 B B) (*.f64 B B)))) (neg.f64 C))) (*.f64 B A)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 B C) B) C) #s(literal -1/2 binary64))) B)) (neg.f64 A))) (neg.f64 A))) (neg.f64 A)) |
| 4 060× | lower-*.f32 |
| 4 040× | lower-*.f64 |
| 3 886× | lower-/.f32 |
| 3 870× | lower-/.f64 |
| 2 296× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 592 |
| 0 | 89 | 574 |
| 1 | 310 | 548 |
| 2 | 2194 | 548 |
| 0 | 8205 | 398 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) |
(/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) (PI.f64))) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64))))) |
(*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (PI.f64)) |
(PI.f64) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B))) |
(*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B)))) |
(sqrt.f64 (fma.f64 B B (*.f64 C C))) |
(-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) |
#s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))) |
#s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64))) |
#s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) |
(/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B) |
| Outputs |
|---|
(*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 #s(literal 180 binary64) (cbrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) #s(literal 1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)))) (/.f64 #s(literal 1 binary64) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)))) |
(*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(pow.f64 (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)))) (sqrt.f64 (PI.f64)))) (neg.f64 (sqrt.f64 (PI.f64)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (neg.f64 (cbrt.f64 (PI.f64)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)))) #s(literal 1 binary64))) (neg.f64 (PI.f64))) |
(/.f64 (neg.f64 (*.f64 #s(literal -180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))))) (neg.f64 (neg.f64 (PI.f64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))))) (neg.f64 (*.f64 (PI.f64) #s(literal 1/180 binary64)))) |
(/.f64 (neg.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) #s(literal -180 binary64))) (neg.f64 (neg.f64 (PI.f64)))) |
(/.f64 (neg.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) #s(literal 1 binary64))) (neg.f64 (*.f64 (PI.f64) #s(literal 1/180 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)))))) (neg.f64 (neg.f64 (PI.f64)))) |
(/.f64 (neg.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)))) (neg.f64 (*.f64 (PI.f64) #s(literal 1/180 binary64)))) |
(/.f64 (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(/.f64 (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(/.f64 (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)))) #s(literal 1 binary64)) (PI.f64)) |
(/.f64 (*.f64 #s(literal -180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)))) (neg.f64 (PI.f64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)))) (*.f64 (PI.f64) #s(literal 1/180 binary64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) #s(literal -180 binary64)) (neg.f64 (PI.f64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) #s(literal 1 binary64)) (*.f64 (PI.f64) #s(literal 1/180 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))))) (neg.f64 (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)))) (PI.f64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))))))) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (*.f64 (PI.f64) #s(literal 1/180 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)))))) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) |
(*.f64 (pow.f64 (/.f64 B (-.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C))) |
(*.f64 (pow.f64 (/.f64 B (-.f64 (*.f64 (*.f64 C C) C) (*.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) (fma.f64 B B (*.f64 C C))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 C C (fma.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C (fma.f64 B B (*.f64 C C)))))) |
(*.f64 (*.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) B)) |
(*.f64 (neg.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) (/.f64 #s(literal -1 binary64) B)) |
(*.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) (/.f64 #s(literal 1 binary64) B)) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) |
(pow.f64 (/.f64 (/.f64 B (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 B (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C))) (/.f64 #s(literal 1 binary64) B))) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 C C) C) (*.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) (fma.f64 B B (*.f64 C C)))) (/.f64 #s(literal 1 binary64) B))) (neg.f64 (fma.f64 C C (fma.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C (fma.f64 B B (*.f64 C C)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) #s(literal -1 binary64))) (neg.f64 (neg.f64 B))) |
(/.f64 (neg.f64 (*.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) #s(literal 1 binary64))) (neg.f64 B)) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 C B) (/.f64 C B)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B)))) (neg.f64 (+.f64 (/.f64 C B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B)))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 C C) C) (*.f64 (*.f64 B B) B)) (/.f64 (*.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) (fma.f64 B B (*.f64 C C))) (*.f64 (*.f64 B B) B)))) (neg.f64 (fma.f64 (/.f64 C B) (/.f64 C B) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B) (*.f64 (/.f64 C B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B)))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))))) (neg.f64 (neg.f64 (neg.f64 B)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C))) #s(literal -1 binary64))) (neg.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C) (neg.f64 B)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C) B))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 C C) C) (*.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) (fma.f64 B B (*.f64 C C)))) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 C C (fma.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C (fma.f64 B B (*.f64 C C)))) (neg.f64 B)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 C C) C) (*.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) (fma.f64 B B (*.f64 C C)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 C C (fma.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C (fma.f64 B B (*.f64 C C)))) B))) |
(/.f64 (neg.f64 (-.f64 (*.f64 C B) (*.f64 B (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) (neg.f64 (*.f64 B B))) |
(/.f64 (-.f64 (*.f64 (neg.f64 C) (neg.f64 B)) (*.f64 (neg.f64 B) (neg.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) (*.f64 (neg.f64 B) (neg.f64 B))) |
(/.f64 (-.f64 (*.f64 (neg.f64 C) B) (*.f64 (neg.f64 B) (sqrt.f64 (fma.f64 B B (*.f64 C C))))) (*.f64 (neg.f64 B) B)) |
(/.f64 (-.f64 (*.f64 (neg.f64 C) (/.f64 B (sqrt.f64 (fma.f64 B B (*.f64 C C))))) (*.f64 (neg.f64 B) #s(literal 1 binary64))) (*.f64 (neg.f64 B) (/.f64 B (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) |
(/.f64 (-.f64 (*.f64 C (neg.f64 B)) (*.f64 B (neg.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) (*.f64 B (neg.f64 B))) |
(/.f64 (-.f64 (*.f64 C (/.f64 B (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B) (*.f64 B (/.f64 B (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 B)) (*.f64 (/.f64 B C) (neg.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) (*.f64 (/.f64 B C) (neg.f64 B))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) B) (*.f64 (/.f64 B C) (sqrt.f64 (fma.f64 B B (*.f64 C C))))) (*.f64 (/.f64 B C) B)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 B (sqrt.f64 (fma.f64 B B (*.f64 C C))))) (*.f64 (/.f64 B C) #s(literal 1 binary64))) (*.f64 (/.f64 B C) (/.f64 B (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) |
(/.f64 (-.f64 (neg.f64 C) (neg.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))))) (neg.f64 B)) |
(/.f64 (*.f64 (-.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C))) (/.f64 #s(literal 1 binary64) B)) (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C)) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 C C) C) (*.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) (fma.f64 B B (*.f64 C C)))) (/.f64 #s(literal 1 binary64) B)) (fma.f64 C C (fma.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C (fma.f64 B B (*.f64 C C))))) |
(/.f64 (*.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) #s(literal -1 binary64)) (neg.f64 B)) |
(/.f64 (*.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) #s(literal 1 binary64)) B) |
(/.f64 (-.f64 (*.f64 (/.f64 C B) (/.f64 C B)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B))) (+.f64 (/.f64 C B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B))) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 C C) C) (*.f64 (*.f64 B B) B)) (/.f64 (*.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) (fma.f64 B B (*.f64 C C))) (*.f64 (*.f64 B B) B))) (fma.f64 (/.f64 C B) (/.f64 C B) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B) (*.f64 (/.f64 C B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) (neg.f64 (neg.f64 B))) |
(/.f64 (neg.f64 (-.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C)))) (neg.f64 (*.f64 B (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 C C) C) (*.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) (fma.f64 B B (*.f64 C C))))) (neg.f64 (*.f64 B (fma.f64 C C (fma.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C (fma.f64 B B (*.f64 C C))))))) |
(/.f64 (*.f64 (-.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C))) #s(literal -1 binary64)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C) (neg.f64 B))) |
(/.f64 (*.f64 (-.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C))) #s(literal 1 binary64)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C) B)) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 C C) C) (*.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) (fma.f64 B B (*.f64 C C)))) #s(literal -1 binary64)) (*.f64 (fma.f64 C C (fma.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C (fma.f64 B B (*.f64 C C)))) (neg.f64 B))) |
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(pow.f64 (/.f64 (fma.f64 C C (fma.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C (fma.f64 B B (*.f64 C C)))) (-.f64 (*.f64 (*.f64 C C) C) (*.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) (fma.f64 B B (*.f64 C C))))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C))))) (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 C C) C) (*.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) (fma.f64 B B (*.f64 C C)))))) (neg.f64 (neg.f64 (fma.f64 C C (fma.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C (fma.f64 B B (*.f64 C C))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 C C) (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C) (fma.f64 B B (*.f64 C C)))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C) (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 C C) C) (fma.f64 C C (fma.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C (fma.f64 B B (*.f64 C C))))) (*.f64 (fma.f64 C C (fma.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C (fma.f64 B B (*.f64 C C)))) (*.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) (fma.f64 B B (*.f64 C C))))) (*.f64 (fma.f64 C C (fma.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C (fma.f64 B B (*.f64 C C)))) (fma.f64 C C (fma.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C (fma.f64 B B (*.f64 C C)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C)))) (neg.f64 (-.f64 C (neg.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C)))) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 C C) C) (*.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) (fma.f64 B B (*.f64 C C))))) (neg.f64 (fma.f64 C C (-.f64 (fma.f64 B B (*.f64 C C)) (*.f64 C (neg.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 C C) C) (*.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) (fma.f64 B B (*.f64 C C))))) (neg.f64 (fma.f64 C C (fma.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C (fma.f64 B B (*.f64 C C)))))) |
(/.f64 (-.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C))) (-.f64 C (neg.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) |
(/.f64 (-.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C))) (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C)) |
(/.f64 (-.f64 (*.f64 (*.f64 C C) C) (*.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) (fma.f64 B B (*.f64 C C)))) (fma.f64 C C (-.f64 (fma.f64 B B (*.f64 C C)) (*.f64 C (neg.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C)))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 C C) C) (*.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) (fma.f64 B B (*.f64 C C)))) (fma.f64 C C (fma.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C (fma.f64 B B (*.f64 C C))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C) (-.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 C C (fma.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C (fma.f64 B B (*.f64 C C)))) (-.f64 (*.f64 (*.f64 C C) C) (*.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) (fma.f64 B B (*.f64 C C))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C) (-.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 C C (fma.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C (fma.f64 B B (*.f64 C C)))) (-.f64 (*.f64 (*.f64 C C) C) (*.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) (fma.f64 B B (*.f64 C C)))))) |
(fma.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 B B (*.f64 C C))) C) |
(-.f64 (/.f64 (*.f64 C C) (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C)) (/.f64 (fma.f64 B B (*.f64 C C)) (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C))) |
(-.f64 (/.f64 (*.f64 (*.f64 C C) C) (fma.f64 C C (fma.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C (fma.f64 B B (*.f64 C C))))) (/.f64 (*.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) (fma.f64 B B (*.f64 C C))) (fma.f64 C C (fma.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C (fma.f64 B B (*.f64 C C)))))) |
(-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) |
(+.f64 (neg.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C)))) C) |
(+.f64 C (neg.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))))) |
#s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))) |
#s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))) |
#s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) |
(*.f64 (*.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) B)) |
(*.f64 (neg.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) (/.f64 #s(literal -1 binary64) B)) |
(*.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) (/.f64 #s(literal 1 binary64) B)) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B)) |
(pow.f64 (/.f64 (/.f64 B #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 B #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) #s(literal -1 binary64))) (neg.f64 (neg.f64 B))) |
(/.f64 (neg.f64 (*.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) #s(literal 1 binary64))) (neg.f64 B)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))))))) (neg.f64 (neg.f64 (neg.f64 B)))) |
(/.f64 (*.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) #s(literal -1 binary64)) (neg.f64 B)) |
(/.f64 (*.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) #s(literal 1 binary64)) B) |
(/.f64 (neg.f64 (neg.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))))) (neg.f64 (neg.f64 B))) |
(/.f64 (neg.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) (neg.f64 B)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 B #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 B #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))))))) |
(/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 B #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 B #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) B)) |
(neg.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) (neg.f64 B))) |
(exp.f64 (*.f64 (log.f64 (/.f64 B #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))))) #s(literal -1 binary64))) |
Compiled 35 973 to 3 113 computations (91.3% saved)
25 alts after pruning (19 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 458 | 15 | 1 473 |
| Fresh | 5 | 4 | 9 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 464 | 25 | 1 489 |
| Status | Accuracy | Program |
|---|---|---|
| 24.9% | (/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) #s(literal 180 binary64)) (PI.f64)) | |
| 23.8% | (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) #s(literal 180 binary64)) (PI.f64)) | |
| 24.9% | (/.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) (*.f64 (PI.f64) #s(literal 1/180 binary64))) | |
| 23.8% | (/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))))) | |
| ▶ | 23.8% | (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) #s(literal 180 binary64)))) |
| ▶ | 24.9% | (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) |
| ✓ | 44.3% | (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| 24.9% | (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C #s(approx (sqrt (+ (* B B) (* C C))) (neg.f64 C))) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) | |
| 22.5% | (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(approx (- C (sqrt (+ (* B B) (* C C)))) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 C C) C)) B) B (/.f64 #s(literal -1/2 binary64) C)) (*.f64 B B))) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) | |
| 39.1% | (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (+.f64 (/.f64 C B) #s(literal 1 binary64))))) (/.f64 #s(literal 180 binary64) (PI.f64))) | |
| 23.8% | (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) (/.f64 #s(literal 180 binary64) (PI.f64))) | |
| ▶ | 19.6% | (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64)))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| 23.2% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (fma.f64 (neg.f64 (-.f64 A C)) (-.f64 A C) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (-.f64 C A)) (neg.f64 B)))) (PI.f64))) | |
| 25.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) (*.f64 (*.f64 B (/.f64 B A)) #s(literal 1/2 binary64))))) (PI.f64))) | |
| 16.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 (-.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C))) (/.f64 #s(literal 1 binary64) B)) (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C)))) (PI.f64))) | |
| ✓ | 28.0% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64)))) (PI.f64))) |
| 23.6% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))))) | |
| ✓ | 23.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) (PI.f64))) |
| ✓ | 11.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) |
| ✓ | 22.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
| 24.9% | (*.f64 #s(literal 180 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))))) | |
| ▶ | 43.8% | (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B)))) |
| ✓ | 44.3% | (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B)))) |
| 32.9% | (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B (-.f64 C A)) #s(literal -1/2 binary64)))))) | |
| ▶ | 23.8% | (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))))) |
Compiled 839 to 574 computations (31.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) #s(literal 180 binary64)) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (/.f64 (PI.f64) (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) #s(literal 180 binary64))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) #s(literal 180 binary64)))) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (PI.f64)) | |
| cost-diff | 0 | (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))))) | |
| cost-diff | 0 | (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (/.f64 #s(literal 180 binary64) (PI.f64)) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) | |
| cost-diff | 0 | #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64))) | |
| cost-diff | 0 | (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64)))) (/.f64 #s(literal 180 binary64) (PI.f64))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) | |
| cost-diff | 0 | (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B)))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B))) | |
| cost-diff | 1600 | (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) |
| 5 328× | lower-fma.f32 |
| 5 326× | lower-fma.f64 |
| 1 792× | lower-*.f32 |
| 1 770× | lower-*.f64 |
| 1 294× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 836 |
| 0 | 90 | 820 |
| 1 | 154 | 786 |
| 2 | 307 | 786 |
| 3 | 695 | 770 |
| 4 | 1454 | 770 |
| 5 | 2501 | 770 |
| 6 | 3830 | 770 |
| 7 | 5127 | 770 |
| 8 | 6007 | 770 |
| 9 | 6400 | 770 |
| 10 | 6437 | 770 |
| 11 | 6451 | 770 |
| 12 | 6522 | 770 |
| 13 | 6791 | 770 |
| 14 | 6921 | 770 |
| 15 | 6954 | 770 |
| 16 | 6954 | 770 |
| 17 | 7042 | 770 |
| 18 | 7415 | 770 |
| 0 | 7415 | 582 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B)))) |
#s(literal 180 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) |
#s(literal 1 binary64) |
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) |
(sqrt.f64 (PI.f64)) |
(PI.f64) |
(atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B)) |
(/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B) |
#s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) |
(-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) |
C |
(sqrt.f64 (fma.f64 B B (*.f64 C C))) |
(fma.f64 B B (*.f64 C C)) |
B |
(*.f64 C C) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64)))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64))) |
#s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 180 binary64) (PI.f64)) |
#s(literal 180 binary64) |
(PI.f64) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) |
(/.f64 #s(literal 180 binary64) (PI.f64)) |
#s(literal 180 binary64) |
(PI.f64) |
(atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) |
#s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 B A)) |
#s(literal 1/2 binary64) |
(/.f64 B A) |
B |
A |
(*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))))) |
#s(literal 180 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))))) |
(/.f64 #s(literal 1 binary64) (PI.f64)) |
#s(literal 1 binary64) |
(PI.f64) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) |
#s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 B C)) |
#s(literal -1/2 binary64) |
(/.f64 B C) |
B |
C |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) #s(literal 180 binary64)))) |
#s(literal 1 binary64) |
(/.f64 (PI.f64) (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) #s(literal 180 binary64))) |
(PI.f64) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) #s(literal 180 binary64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) |
#s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 B C)) |
#s(literal -1/2 binary64) |
(/.f64 B C) |
B |
C |
#s(literal 180 binary64) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B)))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B))) |
#s(literal 180 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B))) |
(/.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B)) (PI.f64)) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) |
(/.f64 #s(literal 1 binary64) (PI.f64)) |
#s(literal 1 binary64) |
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) |
(PI.f64) |
(sqrt.f64 (PI.f64)) |
(PI.f64) |
(atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B)) |
(/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B) |
#s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) |
(-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) |
C |
(sqrt.f64 (fma.f64 B B (*.f64 C C))) |
(fma.f64 B B (*.f64 C C)) |
B |
(*.f64 C C) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64)))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64))))) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64)))) |
(atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64))) |
#s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64))) |
#s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 180 binary64) (PI.f64)) |
#s(literal 180 binary64) |
(PI.f64) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) |
(*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(/.f64 #s(literal 180 binary64) (PI.f64)) |
#s(literal 180 binary64) |
(PI.f64) |
(atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) |
(atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) |
#s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))) |
#s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 B A)) |
(*.f64 (/.f64 B A) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 B A) |
B |
A |
(*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))))) |
(*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
#s(literal 180 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))))) |
(/.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) (PI.f64)) |
(/.f64 #s(literal 1 binary64) (PI.f64)) |
#s(literal 1 binary64) |
(PI.f64) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) |
(atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) |
#s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))) |
#s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))) |
#s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 B C)) |
(*.f64 (/.f64 B C) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(/.f64 B C) |
B |
C |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) #s(literal 180 binary64)))) |
(*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
#s(literal 1 binary64) |
(/.f64 (PI.f64) (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) #s(literal 180 binary64))) |
(/.f64 (PI.f64) (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) #s(literal 180 binary64))) |
(PI.f64) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) #s(literal 180 binary64)) |
(*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) #s(literal 180 binary64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) |
(atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) |
#s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))) |
#s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))) |
#s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 B C)) |
(*.f64 (/.f64 B C) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(/.f64 B C) |
B |
C |
#s(literal 180 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.06640625 | (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) #s(literal 180 binary64)) | |
| accuracy | 0.078125 | (/.f64 (PI.f64) (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) #s(literal 180 binary64))) | |
| accuracy | 21.068796048172334 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) | |
| accuracy | 46.50228812475576 | #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))) | |
| accuracy | 0.04296875 | (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))))) | |
| accuracy | 0.078125 | (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))))) | |
| accuracy | 21.068796048172334 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) | |
| accuracy | 46.50228812475576 | #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))) | |
| accuracy | 0 | (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) | |
| accuracy | 0 | (PI.f64) | |
| accuracy | 0.05859375 | (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) | |
| accuracy | 52.40329302077587 | #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))) | |
| accuracy | 0 | (PI.f64) | |
| accuracy | 0.05859375 | (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64)))) (/.f64 #s(literal 180 binary64) (PI.f64))) | |
| accuracy | 21.068796048172334 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64))) | |
| accuracy | 48.035933424591406 | #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64)) | |
| accuracy | 2.1279865545692678 | (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B) | |
| accuracy | 8.835084172361531 | (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) | |
| accuracy | 20.96581136189221 | #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) | |
| accuracy | 26.990941835635592 | (sqrt.f64 (fma.f64 B B (*.f64 C C))) |
| 65.0ms | 164× | 0 | valid |
| 38.0ms | 39× | 1 | valid |
| 37.0ms | 38× | 2 | valid |
| 19.0ms | 15× | 3 | valid |
Compiled 558 to 48 computations (91.4% saved)
ival-mult: 32.0ms (26.5% of total)ival-sub: 21.0ms (17.4% of total)ival-div: 20.0ms (16.6% of total)ival-hypot: 17.0ms (14.1% of total)adjust: 10.0ms (8.3% of total)ival-pow2: 6.0ms (5% of total)ival-sqrt: 5.0ms (4.1% of total)ival-atan: 5.0ms (4.1% of total)ival-add: 3.0ms (2.5% of total)ival-pi: 1.0ms (0.8% of total)exact: 1.0ms (0.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (patch (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B)))) (patch (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64)))) (/.f64 #s(literal 180 binary64) (PI.f64))) (patch (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64)))) (/.f64 #s(literal 180 binary64) (PI.f64))) #<representation binary64>) () ()) |
#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64)))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64)) (patch #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) (patch (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 180 binary64) (PI.f64)) (patch (/.f64 #s(literal 180 binary64) (PI.f64)) #<representation binary64>) () ()) |
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ()) |
#s(alt (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) (patch (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))))) (patch (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (PI.f64)) (patch (/.f64 #s(literal 1 binary64) (PI.f64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) #s(literal 180 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) #s(literal 180 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (PI.f64) (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) #s(literal 180 binary64))) (patch (/.f64 (PI.f64) (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) #s(literal 180 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) #s(literal 180 binary64)) (patch (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) #s(literal 180 binary64)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 B B (*.f64 C C))) (patch (sqrt.f64 (fma.f64 B B (*.f64 C C))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) (patch #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) #<representation binary64>) () ()) |
#s(alt (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) (patch (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B) (patch (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))) (patch #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))) (patch #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) (taylor 0 C) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B))) #<representation binary64>) () ())) ()) |
#s(alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) (taylor 0 C) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B))) #<representation binary64>) () ())) ()) |
#s(alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) (taylor 0 C) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B))) #<representation binary64>) () ())) ()) |
#s(alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) (taylor 0 C) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) (taylor 0 C) (#s(alt (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B)))) (patch (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B)))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) (taylor 0 C) (#s(alt (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B)))) (patch (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B)))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) (taylor 0 C) (#s(alt (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B)))) (patch (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B)))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) (taylor 0 C) (#s(alt (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B)))) (patch (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B)))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor 0 C) (#s(alt (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64)))) (/.f64 #s(literal 180 binary64) (PI.f64))) (patch (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64)))) (/.f64 #s(literal 180 binary64) (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor 0 C) (#s(alt (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64)))) (/.f64 #s(literal 180 binary64) (PI.f64))) (patch (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64)))) (/.f64 #s(literal 180 binary64) (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor 0 C) (#s(alt (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64)))) (/.f64 #s(literal 180 binary64) (PI.f64))) (patch (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64)))) (/.f64 #s(literal 180 binary64) (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor 0 C) (#s(alt (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64)))) (/.f64 #s(literal 180 binary64) (PI.f64))) (patch (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64)))) (/.f64 #s(literal 180 binary64) (PI.f64))) #<representation binary64>) () ())) ()) |
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#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor inf C) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) #s(literal 180 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) #s(literal 180 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor inf C) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) #s(literal 180 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) #s(literal 180 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor inf C) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) #s(literal 180 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) #s(literal 180 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/180 (/ (PI) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) (taylor inf C) (#s(alt (/.f64 (PI.f64) (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) #s(literal 180 binary64))) (patch (/.f64 (PI.f64) (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) #s(literal 180 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/180 (/ (PI) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) (taylor inf C) (#s(alt (/.f64 (PI.f64) (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) #s(literal 180 binary64))) (patch (/.f64 (PI.f64) (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) #s(literal 180 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/180 (/ (PI) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) (taylor inf C) (#s(alt (/.f64 (PI.f64) (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) #s(literal 180 binary64))) (patch (/.f64 (PI.f64) (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) #s(literal 180 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/180 (/ (PI) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) (taylor inf C) (#s(alt (/.f64 (PI.f64) (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) #s(literal 180 binary64))) (patch (/.f64 (PI.f64) (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) #s(literal 180 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) (taylor inf C) (#s(alt (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) #s(literal 180 binary64)) (patch (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) #s(literal 180 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) (taylor inf C) (#s(alt (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) #s(literal 180 binary64)) (patch (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) #s(literal 180 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) (taylor inf C) (#s(alt (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) #s(literal 180 binary64)) (patch (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) #s(literal 180 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) (taylor inf C) (#s(alt (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) #s(literal 180 binary64)) (patch (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) #s(literal 180 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (- (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (pow C 3))) (+ A (+ (* -1 A) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 2))) (* 1/2 (/ (pow B 2) C)))))) (taylor inf C) (#s(alt #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) (patch #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (- (* 1/2 (/ (+ (* 1/64 (pow B 8)) (* 1/16 (pow B 8))) (pow C 6))) (+ (* -1/8 (/ (pow B 4) (pow C 2))) (+ (* 1/16 (/ (pow B 6) (pow C 4))) (* 1/2 (pow B 2))))) C) (taylor inf C) (#s(alt (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) (patch (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) (taylor inf C) (#s(alt (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B) (patch (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) (taylor inf C) (#s(alt (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B) (patch (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) (taylor inf C) (#s(alt #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))) (patch #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) (taylor inf C) (#s(alt #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))) (patch #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) (taylor inf C) (#s(alt #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))) (patch #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ (* -1/2 B) (* 1/8 (/ (pow B 3) (pow C 2)))) C) (taylor inf C) (#s(alt #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))) (patch #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 B) (+ (* -1/16 (/ (pow B 5) (pow C 4))) (* 1/8 (/ (pow B 3) (pow C 2))))) C) (taylor inf C) (#s(alt #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))) (patch #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 B) (+ (* -1/16 (/ (pow B 5) (pow C 4))) (+ (* 1/8 (/ (pow B 3) (pow C 2))) (* 1/2 (/ (+ (* 1/64 (pow B 8)) (* 1/16 (pow B 8))) (* B (pow C 6))))))) C) (taylor inf C) (#s(alt #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))) (patch #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) (taylor inf C) (#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) (taylor inf C) (#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) (taylor -inf A) (#s(alt (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B) (patch (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ B A)) (taylor -inf A) (#s(alt #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))) (patch #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) (taylor -inf A) (#s(alt #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))) (patch #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) (taylor -inf A) (#s(alt #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))) (patch #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) (taylor -inf A) (#s(alt #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))) (patch #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ B A)) (taylor -inf A) (#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) (taylor -inf A) (#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) (taylor -inf A) (#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) (taylor -inf A) (#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 32.0ms | B | @ | 0 | ((* (sqrt (PI)) (sqrt (PI))) (* (/ 1 (* (sqrt (PI)) (sqrt (PI)))) (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B))) (* 180 (* (/ 1 (* (sqrt (PI)) (sqrt (PI)))) (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B)))) (/ 1 (* (sqrt (PI)) (sqrt (PI)))) (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (/ 180 (PI))) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/ (- C (sqrt (+ (* B B) (* C C)))) B) (* (/ 180 (PI)) (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B))) (/ 180 (PI)) (PI) (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B)) (* (/ 1 (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))))) (* 180 (* (/ 1 (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))))) (/ 1 (PI)) (/ 1 (/ (PI) (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180))) (/ (PI) (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180)) (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (sqrt (+ (* B B) (* C C))) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (- C (sqrt (+ (* B B) (* C C)))) (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/ (- C (sqrt (+ (* B B) (* C C)))) B) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) |
| 4.0ms | B | @ | -inf | ((* (sqrt (PI)) (sqrt (PI))) (* (/ 1 (* (sqrt (PI)) (sqrt (PI)))) (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B))) (* 180 (* (/ 1 (* (sqrt (PI)) (sqrt (PI)))) (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B)))) (/ 1 (* (sqrt (PI)) (sqrt (PI)))) (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (/ 180 (PI))) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/ (- C (sqrt (+ (* B B) (* C C)))) B) (* (/ 180 (PI)) (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B))) (/ 180 (PI)) (PI) (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B)) (* (/ 1 (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))))) (* 180 (* (/ 1 (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))))) (/ 1 (PI)) (/ 1 (/ (PI) (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180))) (/ (PI) (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180)) (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (sqrt (+ (* B B) (* C C))) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (- C (sqrt (+ (* B B) (* C C)))) (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/ (- C (sqrt (+ (* B B) (* C C)))) B) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) |
| 3.0ms | C | @ | inf | ((* (sqrt (PI)) (sqrt (PI))) (* (/ 1 (* (sqrt (PI)) (sqrt (PI)))) (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B))) (* 180 (* (/ 1 (* (sqrt (PI)) (sqrt (PI)))) (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B)))) (/ 1 (* (sqrt (PI)) (sqrt (PI)))) (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (/ 180 (PI))) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/ (- C (sqrt (+ (* B B) (* C C)))) B) (* (/ 180 (PI)) (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B))) (/ 180 (PI)) (PI) (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B)) (* (/ 1 (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))))) (* 180 (* (/ 1 (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))))) (/ 1 (PI)) (/ 1 (/ (PI) (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180))) (/ (PI) (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180)) (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (sqrt (+ (* B B) (* C C))) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (- C (sqrt (+ (* B B) (* C C)))) (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/ (- C (sqrt (+ (* B B) (* C C)))) B) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) |
| 3.0ms | B | @ | inf | ((* (sqrt (PI)) (sqrt (PI))) (* (/ 1 (* (sqrt (PI)) (sqrt (PI)))) (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B))) (* 180 (* (/ 1 (* (sqrt (PI)) (sqrt (PI)))) (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B)))) (/ 1 (* (sqrt (PI)) (sqrt (PI)))) (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (/ 180 (PI))) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/ (- C (sqrt (+ (* B B) (* C C)))) B) (* (/ 180 (PI)) (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B))) (/ 180 (PI)) (PI) (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B)) (* (/ 1 (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))))) (* 180 (* (/ 1 (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))))) (/ 1 (PI)) (/ 1 (/ (PI) (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180))) (/ (PI) (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180)) (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (sqrt (+ (* B B) (* C C))) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (- C (sqrt (+ (* B B) (* C C)))) (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/ (- C (sqrt (+ (* B B) (* C C)))) B) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) |
| 3.0ms | C | @ | 0 | ((* (sqrt (PI)) (sqrt (PI))) (* (/ 1 (* (sqrt (PI)) (sqrt (PI)))) (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B))) (* 180 (* (/ 1 (* (sqrt (PI)) (sqrt (PI)))) (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B)))) (/ 1 (* (sqrt (PI)) (sqrt (PI)))) (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (/ 180 (PI))) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/ (- C (sqrt (+ (* B B) (* C C)))) B) (* (/ 180 (PI)) (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B))) (/ 180 (PI)) (PI) (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B)) (* (/ 1 (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))))) (* 180 (* (/ 1 (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))))) (/ 1 (PI)) (/ 1 (/ (PI) (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180))) (/ (PI) (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180)) (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (sqrt (+ (* B B) (* C C))) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (- C (sqrt (+ (* B B) (* C C)))) (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/ (- C (sqrt (+ (* B B) (* C C)))) B) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) |
| 1× | egg-herbie |
| 8 056× | lower-fma.f64 |
| 8 056× | lower-fma.f32 |
| 5 818× | lower-*.f64 |
| 5 818× | lower-*.f32 |
| 3 450× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 793 | 14379 |
| 1 | 2303 | 14062 |
| 2 | 6794 | 13974 |
| 0 | 8279 | 11379 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
-1 |
(- (/ C B) 1) |
(- (* C (+ (* -1/2 (/ C (pow B 2))) (/ 1 B))) 1) |
(- (* C (+ (* C (- (* 1/8 (/ (pow C 2) (pow B 4))) (* 1/2 (/ 1 (pow B 2))))) (/ 1 B))) 1) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 1/180 (/ (PI) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 1/180 (/ (PI) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 1/180 (/ (PI) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 1/180 (/ (PI) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
B |
(+ B (* 1/2 (/ (pow C 2) B))) |
(+ B (* (pow C 2) (+ (* -1/8 (/ (pow C 2) (pow B 3))) (* 1/2 (/ 1 B))))) |
(+ B (* (pow C 2) (+ (* (pow C 2) (- (* 1/16 (/ (pow C 2) (pow B 5))) (* 1/8 (/ 1 (pow B 3))))) (* 1/2 (/ 1 B))))) |
(* -1 (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(- (* C (- 1 (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(- (* C (- (+ 1 (* -1/2 (* (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(- (* C (- (+ 1 (* C (- (* -1/2 (* (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow A 2) (pow B 2)))) (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(* -1 B) |
(- C B) |
(- (* C (+ 1 (* -1/2 (/ C B)))) B) |
(- (* C (+ 1 (* C (- (* 1/8 (/ (pow C 2) (pow B 3))) (* 1/2 (/ 1 B)))))) B) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
-1 |
(- (/ C B) 1) |
(- (* C (+ (* -1/2 (/ C (pow B 2))) (/ 1 B))) 1) |
(- (* C (+ (* C (- (* 1/8 (/ (pow C 2) (pow B 4))) (* 1/2 (/ 1 (pow B 2))))) (/ 1 B))) 1) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(* -1 (/ (+ A (* -1 A)) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
(* -1/2 (/ B C)) |
(/ (+ (* -1/2 B) (* 1/8 (/ (pow B 3) (pow C 2)))) C) |
(/ (+ (* -1/2 B) (+ (* -1/16 (/ (pow B 5) (pow C 4))) (* 1/8 (/ (pow B 3) (pow C 2))))) C) |
(/ (+ (* -1/2 B) (+ (* -1/16 (/ (pow B 5) (pow C 4))) (+ (* 1/8 (/ (pow B 3) (pow C 2))) (* 1/2 (/ (+ (* 1/64 (pow B 8)) (* 1/16 (pow B 8))) (* B (pow C 6))))))) C) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 1/180 (/ (PI) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 1/180 (/ (PI) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 1/180 (/ (PI) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 1/180 (/ (PI) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
C |
(* C (+ 1 (* 1/2 (/ (pow B 2) (pow C 2))))) |
(* C (+ 1 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (* 1/2 (/ (pow B 2) (pow C 2)))))) |
(* C (+ 1 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (+ (* 1/16 (/ (pow B 6) (pow C 6))) (* 1/2 (/ (pow B 2) (pow C 2))))))) |
(* -1 (+ A (* -1 A))) |
(- (* -1/2 (/ (pow B 2) C)) (+ A (* -1 A))) |
(- (* -1/2 (/ (* A (pow B 2)) (pow C 2))) (+ A (+ (* -1 A) (* 1/2 (/ (pow B 2) C))))) |
(- (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (pow C 3))) (+ A (+ (* -1 A) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 2))) (* 1/2 (/ (pow B 2) C)))))) |
(* -1/2 (/ (pow B 2) C)) |
(/ (- (* 1/8 (/ (pow B 4) (pow C 2))) (* 1/2 (pow B 2))) C) |
(/ (- (* -1/16 (/ (pow B 6) (pow C 4))) (+ (* -1/8 (/ (pow B 4) (pow C 2))) (* 1/2 (pow B 2)))) C) |
(/ (- (* 1/2 (/ (+ (* 1/64 (pow B 8)) (* 1/16 (pow B 8))) (pow C 6))) (+ (* -1/8 (/ (pow B 4) (pow C 2))) (+ (* 1/16 (/ (pow B 6) (pow C 4))) (* 1/2 (pow B 2))))) C) |
(* -1 (/ (+ A (* -1 A)) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
(* -1 (/ (+ A (* -1 A)) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
(* -1/2 (/ B C)) |
(/ (+ (* -1/2 B) (* 1/8 (/ (pow B 3) (pow C 2)))) C) |
(/ (+ (* -1/2 B) (+ (* -1/16 (/ (pow B 5) (pow C 4))) (* 1/8 (/ (pow B 3) (pow C 2))))) C) |
(/ (+ (* -1/2 B) (+ (* -1/16 (/ (pow B 5) (pow C 4))) (+ (* 1/8 (/ (pow B 3) (pow C 2))) (* 1/2 (/ (+ (* 1/64 (pow B 8)) (* 1/16 (pow B 8))) (* B (pow C 6))))))) C) |
(* -1 (/ (+ A (* -1 A)) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* -1/2 (/ B (pow C 2))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (+ (* -1/2 (/ B (pow C 2))) (* 1/8 (/ (pow B 3) (pow C 4)))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (+ (* -1/2 (/ B (pow C 2))) (+ (* -1/16 (/ (pow B 5) (pow C 6))) (* 1/8 (/ (pow B 3) (pow C 4))))) (* 2 (/ 1 B))))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 1/180 (/ (PI) (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))))) |
(* 1/180 (/ (PI) (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))))) |
(* 1/180 (/ (PI) (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))))) |
(* 1/180 (/ (PI) (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))))) |
(* 180 (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B)))) |
(* 180 (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B)))) |
(* 180 (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B)))) |
(* 180 (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B)))) |
(* -1 C) |
(* -1 (* C (+ 1 (* 1/2 (/ (pow B 2) (pow C 2)))))) |
(* -1 (* C (+ 1 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (* 1/2 (/ (pow B 2) (pow C 2))))))) |
(* -1 (* C (+ 1 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (+ (* 1/16 (/ (pow B 6) (pow C 6))) (* 1/2 (/ (pow B 2) (pow C 2)))))))) |
(* 2 C) |
(* -1 (* C (- (* 2 (/ A C)) 2))) |
(* -1 (* C (- (* -1 (/ (- (* 1/2 (/ (pow B 2) C)) (* 2 A)) C)) 2))) |
(* -1 (* C (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C)) (* 2 A)) C)) 2))) |
(* 2 C) |
(* -1 (* C (- (* -1/2 (/ (pow B 2) (pow C 2))) 2))) |
(* -1 (* C (- (* 1/8 (/ (pow B 4) (pow C 4))) (+ 2 (* 1/2 (/ (pow B 2) (pow C 2))))))) |
(* -1 (* C (- (* -1/16 (/ (pow B 6) (pow C 6))) (+ 2 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (* 1/2 (/ (pow B 2) (pow C 2)))))))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* -1/2 (/ B (pow C 2))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (+ (* -1/2 (/ B (pow C 2))) (* 1/8 (/ (pow B 3) (pow C 4)))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (+ (* -1/2 (/ B (pow C 2))) (+ (* -1/16 (/ (pow B 5) (pow C 6))) (* 1/8 (/ (pow B 3) (pow C 4))))) (* 2 (/ 1 B))))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(/ (- (* 2 C) (* 2 A)) B) |
(/ (- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(* -1/2 (/ B C)) |
(* B (- (* 1/8 (/ (pow B 2) (pow C 3))) (* 1/2 (/ 1 C)))) |
(* B (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow C 5))) (* 1/8 (/ 1 (pow C 3))))) (* 1/2 (/ 1 C)))) |
(* B (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow C 7))) (* 1/16 (/ 1 (pow C 5))))) (* 1/8 (/ 1 (pow C 3))))) (* 1/2 (/ 1 C)))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 1/180 (/ (PI) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 1/180 (/ (PI) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 1/180 (/ (PI) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 1/180 (/ (PI) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
C |
(+ C (* 1/2 (/ (pow B 2) C))) |
(+ C (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow C 3))) (* 1/2 (/ 1 C))))) |
(+ C (* (pow B 2) (+ (* (pow B 2) (- (* 1/16 (/ (pow B 2) (pow C 5))) (* 1/8 (/ 1 (pow C 3))))) (* 1/2 (/ 1 C))))) |
(* -1/2 (/ (pow B 2) (- C A))) |
(* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A))))) |
(* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(* (pow B 2) (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow (- C A) 7))) (* 1/16 (/ 1 (pow (- C A) 5))))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(* -1/2 (/ (pow B 2) C)) |
(* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow C 3))) (* 1/2 (/ 1 C)))) |
(* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow C 5))) (* 1/8 (/ 1 (pow C 3))))) (* 1/2 (/ 1 C)))) |
(* (pow B 2) (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow C 7))) (* 1/16 (/ 1 (pow C 5))))) (* 1/8 (/ 1 (pow C 3))))) (* 1/2 (/ 1 C)))) |
(* -1/2 (/ B (- C A))) |
(* B (- (* 1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A))))) |
(* B (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(* B (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow (- C A) 7))) (* 1/16 (/ 1 (pow (- C A) 5))))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(* -1/2 (/ B (- C A))) |
(* B (- (* 1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A))))) |
(* B (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(* B (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow (- C A) 7))) (* 1/16 (/ 1 (pow (- C A) 5))))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(* -1/2 (/ B C)) |
(* B (- (* 1/8 (/ (pow B 2) (pow C 3))) (* 1/2 (/ 1 C)))) |
(* B (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow C 5))) (* 1/8 (/ 1 (pow C 3))))) (* 1/2 (/ 1 C)))) |
(* B (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow C 7))) (* 1/16 (/ 1 (pow C 5))))) (* 1/8 (/ 1 (pow C 3))))) (* 1/2 (/ 1 C)))) |
(/ (- (* 2 C) (* 2 A)) B) |
(/ (- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
-1 |
(- (/ C B) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
-1 |
(- (/ C B) 1) |
(- (+ (* -1/2 (/ (pow C 2) (pow B 2))) (/ C B)) 1) |
(- (+ (* -1/2 (/ (pow C 2) (pow B 2))) (+ (* 1/8 (/ (pow C 4) (pow B 4))) (/ C B))) 1) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 1/180 (/ (PI) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 1/180 (/ (PI) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 1/180 (/ (PI) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 1/180 (/ (PI) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
B |
(* B (+ 1 (* 1/2 (/ (pow C 2) (pow B 2))))) |
(* B (+ 1 (+ (* -1/8 (/ (pow C 4) (pow B 4))) (* 1/2 (/ (pow C 2) (pow B 2)))))) |
(* B (+ 1 (+ (* -1/8 (/ (pow C 4) (pow B 4))) (+ (* 1/16 (/ (pow C 6) (pow B 6))) (* 1/2 (/ (pow C 2) (pow B 2))))))) |
(* -1 B) |
(* B (- (/ C B) (+ 1 (/ A B)))) |
(* B (- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B)))) |
(* B (- (+ (* 1/8 (/ (pow (- C A) 4) (pow B 4))) (/ C B)) (+ 1 (+ (* 1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B))))) |
(* -1 B) |
(* B (- (/ C B) 1)) |
(* B (- (+ (* -1/2 (/ (pow C 2) (pow B 2))) (/ C B)) 1)) |
(* B (- (+ (* 1/8 (/ (pow C 4) (pow B 4))) (/ C B)) (+ 1 (* 1/2 (/ (pow C 2) (pow B 2)))))) |
-1 |
(- (/ C B) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- C A) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
-1 |
(- (/ C B) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- C A) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
-1 |
(- (/ C B) 1) |
(- (+ (* -1/2 (/ (pow C 2) (pow B 2))) (/ C B)) 1) |
(- (+ (* -1/2 (/ (pow C 2) (pow B 2))) (+ (* 1/8 (/ (pow C 4) (pow B 4))) (/ C B))) 1) |
-1 |
(- (/ C B) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
1 |
(- (+ 1 (/ C B)) (/ A B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- A C) 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) B))) |
1 |
(+ 1 (/ C B)) |
(+ 1 (* -1 (/ (+ (* -1 C) (* -1/2 (/ (pow C 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 C) (* -1 (/ (+ (* -1/8 (/ (pow C 4) (pow B 2))) (* 1/2 (pow C 2))) B))) B))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 1/180 (/ (PI) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 1/180 (/ (PI) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 1/180 (/ (PI) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 1/180 (/ (PI) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* -1 B) |
(* -1 (* B (+ 1 (* 1/2 (/ (pow C 2) (pow B 2)))))) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow C 4) (pow B 4))) (* 1/2 (/ (pow C 2) (pow B 2))))))) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow C 4) (pow B 4))) (+ (* 1/16 (/ (pow C 6) (pow B 6))) (* 1/2 (/ (pow C 2) (pow B 2)))))))) |
B |
(* -1 (* B (- (* -1 (/ (- C A) B)) 1))) |
(* -1 (* B (- (* -1 (/ (- (+ C (* 1/2 (/ (pow (- C A) 2) B))) A) B)) 1))) |
(* -1 (* B (- (* -1 (/ (- (+ C (* -1 (/ (- (* 1/8 (/ (pow (- C A) 4) (pow B 2))) (* 1/2 (pow (- C A) 2))) B))) A) B)) 1))) |
B |
(* -1 (* B (- (* -1 (/ C B)) 1))) |
(* -1 (* B (- (* -1 (/ (+ C (* 1/2 (/ (pow C 2) B))) B)) 1))) |
(* -1 (* B (- (* -1 (/ (+ C (* -1 (/ (- (* 1/8 (/ (pow C 4) (pow B 2))) (* 1/2 (pow C 2))) B))) B)) 1))) |
1 |
(- (+ 1 (/ C B)) (/ A B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- C A) 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- C A) 4) (pow B 2))) (* 1/2 (pow (- C A) 2))) B))) B))) |
1 |
(- (+ 1 (/ C B)) (/ A B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- C A) 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- C A) 4) (pow B 2))) (* 1/2 (pow (- C A) 2))) B))) B))) |
1 |
(+ 1 (/ C B)) |
(+ 1 (* -1 (/ (+ (* -1 C) (* -1/2 (/ (pow C 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 C) (* -1 (/ (+ (* -1/8 (/ (pow C 4) (pow B 2))) (* 1/2 (pow C 2))) B))) B))) |
1 |
(- (+ 1 (/ C B)) (/ A B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- A C) 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) B))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B) |
(- (+ (* -1 (/ (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* -1/2 (* (/ (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* A (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) B) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 1/180 (/ (PI) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 1/180 (/ (PI) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 1/180 (/ (PI) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 1/180 (/ (PI) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(- C (sqrt (+ (pow B 2) (pow C 2)))) |
(- (+ C (* -1 (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(- (+ C (* A (- (* -1/2 (* (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(- (+ C (* A (- (* A (- (* -1/2 (* (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow B 2) (pow C 2)))) (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B) |
(- (+ (* -1 (/ (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* -1/2 (* (/ (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* A (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) B) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B) |
(- (+ (* -1 (/ (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* -1/2 (* (/ (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* A (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) B) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B) |
(- (+ (* -1 (/ (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* -1/2 (* (/ (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* A (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) B) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(* -2 (/ A B)) |
(* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 1/180 (/ (PI) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 1/180 (/ (PI) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 1/180 (/ (PI) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 1/180 (/ (PI) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* -2 A) |
(* A (- (/ C A) (+ 2 (* -1 (/ C A))))) |
(* A (- (+ (* -1/2 (/ (pow B 2) (pow A 2))) (/ C A)) (+ 2 (* -1 (/ C A))))) |
(* A (- (+ (* -1/2 (/ (* (pow B 2) C) (pow A 3))) (/ C A)) (+ 2 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(* -2 (/ A B)) |
(* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* -2 (/ A B)) |
(* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* -2 (/ A B)) |
(* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 1/180 (/ (PI) (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)))) |
(* 1/180 (/ (PI) (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)))) |
(* 1/180 (/ (PI) (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)))) |
(* 1/180 (/ (PI) (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)))) |
(* 180 (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B))) |
(* 180 (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B))) |
(* 180 (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B))) |
(* 180 (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B))) |
(* 1/2 (/ (pow B 2) A)) |
(* -1 (/ (- (* -1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A)) |
(* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) A)) (* -1/2 (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
| Outputs |
|---|
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
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#s(literal -1 binary64) |
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(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (PI.f64)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (PI.f64)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (PI.f64)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 1/180 (/ (PI) (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)))) |
(/.f64 (*.f64 #s(literal 1/180 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) |
(* 1/180 (/ (PI) (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)))) |
(/.f64 (*.f64 #s(literal 1/180 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) |
(* 1/180 (/ (PI) (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)))) |
(/.f64 (*.f64 #s(literal 1/180 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) |
(* 1/180 (/ (PI) (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)))) |
(/.f64 (*.f64 #s(literal 1/180 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) |
(* 180 (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) #s(literal 180 binary64)) |
(* 180 (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) #s(literal 180 binary64)) |
(* 180 (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) #s(literal 180 binary64)) |
(* 180 (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) #s(literal 180 binary64)) |
(* 1/2 (/ (pow B 2) A)) |
(*.f64 (*.f64 B (/.f64 B A)) #s(literal 1/2 binary64)) |
(* -1 (/ (- (* -1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 B (*.f64 (/.f64 C A) B) (*.f64 B B))) A) |
(* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 C) C) (*.f64 B B) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 B B) (*.f64 B B)))) A) (*.f64 (*.f64 B C) B)) A) (*.f64 #s(literal 1/2 binary64) (*.f64 B B))) A) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) A)) (* -1/2 (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) (*.f64 B B) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) C) (*.f64 (*.f64 B B) (*.f64 B B)) (*.f64 (fma.f64 (*.f64 (neg.f64 C) C) (*.f64 B B) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 B B) (*.f64 B B)))) (neg.f64 C))) A) (fma.f64 (*.f64 (neg.f64 C) C) (*.f64 B B) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 B B) (*.f64 B B))))) A))) A) (*.f64 #s(literal 1/2 binary64) (*.f64 B B))) A) |
(* 1/2 (/ B A)) |
(*.f64 (/.f64 B A) #s(literal 1/2 binary64)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 C A) B B) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) B (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) B (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 B B) (*.f64 B B)) (*.f64 (*.f64 (*.f64 (*.f64 B C) B) C) #s(literal 1/2 binary64))) (*.f64 B A))) (neg.f64 A))) (neg.f64 A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) B (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) B (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) C) (*.f64 (*.f64 B B) (*.f64 B B)) (*.f64 (fma.f64 (*.f64 (neg.f64 C) C) (*.f64 B B) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 B B) (*.f64 B B)))) (neg.f64 C))) (*.f64 B A)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 B C) B) C) #s(literal -1/2 binary64))) B)) (neg.f64 A))) (neg.f64 A))) (neg.f64 A)) |
(* 1/2 (/ B A)) |
(*.f64 (/.f64 B A) #s(literal 1/2 binary64)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 C A) B B) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) B (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) B (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 B B) (*.f64 B B)) (*.f64 (*.f64 (*.f64 (*.f64 B C) B) C) #s(literal 1/2 binary64))) (*.f64 B A))) (neg.f64 A))) (neg.f64 A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) B (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) B (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) C) (*.f64 (*.f64 B B) (*.f64 B B)) (*.f64 (fma.f64 (*.f64 (neg.f64 C) C) (*.f64 B B) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 B B) (*.f64 B B)))) (neg.f64 C))) (*.f64 B A)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 B C) B) C) #s(literal -1/2 binary64))) B)) (neg.f64 A))) (neg.f64 A))) (neg.f64 A)) |
(* 1/2 (/ B A)) |
(*.f64 (/.f64 B A) #s(literal 1/2 binary64)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 C A) B B) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) B (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) B (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 B B) (*.f64 B B)) (*.f64 (*.f64 (*.f64 (*.f64 B C) B) C) #s(literal 1/2 binary64))) (*.f64 B A))) (neg.f64 A))) (neg.f64 A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) B (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) B (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) C) (*.f64 (*.f64 B B) (*.f64 B B)) (*.f64 (fma.f64 (*.f64 (neg.f64 C) C) (*.f64 B B) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 B B) (*.f64 B B)))) (neg.f64 C))) (*.f64 B A)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 B C) B) C) #s(literal -1/2 binary64))) B)) (neg.f64 A))) (neg.f64 A))) (neg.f64 A)) |
| 4 268× | lower-*.f32 |
| 4 246× | lower-*.f64 |
| 3 878× | lower-/.f32 |
| 3 864× | lower-/.f64 |
| 2 386× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 618 |
| 0 | 90 | 582 |
| 1 | 324 | 560 |
| 2 | 2263 | 560 |
| 0 | 8673 | 412 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B))) |
(*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64)))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64))) |
#s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) |
(/.f64 #s(literal 180 binary64) (PI.f64)) |
(PI.f64) |
(atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))))) |
(*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))))) |
(/.f64 #s(literal 1 binary64) (PI.f64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) #s(literal 180 binary64)))) |
(/.f64 (PI.f64) (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) #s(literal 180 binary64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) #s(literal 180 binary64)) |
(sqrt.f64 (fma.f64 B B (*.f64 C C))) |
#s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) |
(-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) |
(/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B) |
#s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))) |
#s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) |
| Outputs |
|---|
(*.f64 (fabs.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) |
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))) (cbrt.f64 (PI.f64))) |
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (cbrt.f64 (PI.f64)))) |
(*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64))) (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64)))) |
(*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (PI.f64)))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64)) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64)))) |
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (PI.f64))) |
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(+.f64 (neg.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C)))) C) |
(+.f64 C (neg.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))))) |
(*.f64 (*.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) B)) |
(*.f64 (neg.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) (/.f64 #s(literal -1 binary64) B)) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) |
(*.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) (/.f64 #s(literal 1 binary64) B)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B)) |
(pow.f64 (/.f64 (/.f64 B #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 B #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) #s(literal -1 binary64))) (neg.f64 (neg.f64 B))) |
(/.f64 (neg.f64 (*.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) #s(literal 1 binary64))) (neg.f64 B)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))))))) (neg.f64 (neg.f64 (neg.f64 B)))) |
(/.f64 (*.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) #s(literal -1 binary64)) (neg.f64 B)) |
(/.f64 (*.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) #s(literal 1 binary64)) B) |
(/.f64 (neg.f64 (neg.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))))) (neg.f64 (neg.f64 B))) |
(/.f64 (neg.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) (neg.f64 B)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 B #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 B #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))))))) |
(/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 B #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 B #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) B)) |
(neg.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) (neg.f64 B))) |
(exp.f64 (*.f64 (log.f64 (/.f64 B #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))))) #s(literal -1 binary64))) |
#s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64))) |
#s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))) |
Compiled 39 039 to 3 819 computations (90.2% saved)
23 alts after pruning (13 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 626 | 8 | 1 634 |
| Fresh | 9 | 5 | 14 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 6 | 6 |
| Total | 1 636 | 23 | 1 659 |
| Status | Accuracy | Program |
|---|---|---|
| 24.9% | (/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) #s(literal 180 binary64)) (PI.f64)) | |
| 23.8% | (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) #s(literal 180 binary64)) (PI.f64)) | |
| 24.9% | (/.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/180 binary64))) | |
| 23.8% | (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/180 binary64))) | |
| 23.8% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))))) (PI.f64))) | |
| 30.3% | (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (fma.f64 (/.f64 (*.f64 B B) (*.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (-.f64 C A))) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 A C))) B)))) | |
| 24.9% | (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 C B) #s(literal 2 binary64))))) | |
| 33.0% | (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B (-.f64 C A)) #s(literal -1/2 binary64))))) | |
| ✓ | 24.9% | (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) |
| ✓ | 44.3% | (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| 39.1% | (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (+.f64 (/.f64 C B) #s(literal 1 binary64))))) (/.f64 #s(literal 180 binary64) (PI.f64))) | |
| ✓ | 19.6% | (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64)))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| 23.2% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (fma.f64 (neg.f64 (-.f64 A C)) (-.f64 A C) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (-.f64 C A)) (neg.f64 B)))) (PI.f64))) | |
| 25.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) (*.f64 (*.f64 B (/.f64 B A)) #s(literal 1/2 binary64))))) (PI.f64))) | |
| 16.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 (-.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C))) (/.f64 #s(literal 1 binary64) B)) (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C)))) (PI.f64))) | |
| ✓ | 28.0% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64)))) (PI.f64))) |
| ✓ | 23.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) (PI.f64))) |
| ✓ | 11.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) |
| ✓ | 22.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
| 24.9% | (*.f64 #s(literal 180 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))))) | |
| ✓ | 43.8% | (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B)))) |
| ✓ | 44.3% | (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B)))) |
| ✓ | 23.8% | (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))))) |
Compiled 1 179 to 506 computations (57.1% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64)))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(approx (/ (- C A) B) (/.f64 C B)) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (+.f64 (/.f64 C B) #s(literal 1 binary64))))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C #s(approx (sqrt (+ (* B B) (* C C))) (neg.f64 C))) B))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C #s(approx (sqrt (+ (* B B) (* C C))) (neg.f64 C))) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 C B) #s(literal 2 binary64))))) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/180 binary64))) |
(/.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) (*.f64 (PI.f64) #s(literal 1/180 binary64))) |
(/.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/180 binary64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) #s(literal 0 binary64)))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B (-.f64 C A)) #s(literal -1/2 binary64))))) |
(*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))))) |
(*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))))) |
(*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B (-.f64 C A)) #s(literal -1/2 binary64)))))) |
(*.f64 #s(literal 180 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))))) (PI.f64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) #s(literal 180 binary64)))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 C A) B B) A)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) (*.f64 (*.f64 B (/.f64 B A)) #s(literal 1/2 binary64))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (fma.f64 (/.f64 B (*.f64 C C)) A (/.f64 B C)) #s(literal -1/2 binary64) #s(literal 0 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B)))) |
(*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) B) B) (-.f64 C A))) B)))) |
(*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (fma.f64 (/.f64 (*.f64 B B) (*.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (-.f64 C A))) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 A C))) B)))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(approx (- C (sqrt (+ (* B B) (* C C)))) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 C C) C)) B) B (/.f64 #s(literal -1/2 binary64) C)) (*.f64 B B))) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B)))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 (-.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C))) (/.f64 #s(literal 1 binary64) B)) (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (sqrt.f64 B)) (/.f64 #s(literal 1 binary64) (sqrt.f64 B)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (fma.f64 (neg.f64 (-.f64 A C)) (-.f64 A C) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (-.f64 C A)) (neg.f64 B)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B (-.f64 C A)) #s(literal -1/2 binary64))))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) |
7 calls:
| 27.0ms | C |
| 26.0ms | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 24.0ms | B |
| 21.0ms | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| 14.0ms | A |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.2% | 3 | A |
| 74.2% | 4 | B |
| 68.9% | 4 | C |
| 74.3% | 3 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| 74.3% | 3 | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| 74.3% | 3 | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
| 74.3% | 3 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
Compiled 105 to 74 computations (29.5% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64)))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(approx (/ (- C A) B) (/.f64 C B)) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (+.f64 (/.f64 C B) #s(literal 1 binary64))))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C #s(approx (sqrt (+ (* B B) (* C C))) (neg.f64 C))) B))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C #s(approx (sqrt (+ (* B B) (* C C))) (neg.f64 C))) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 C B) #s(literal 2 binary64))))) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/180 binary64))) |
(/.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) (*.f64 (PI.f64) #s(literal 1/180 binary64))) |
(/.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/180 binary64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) #s(literal 0 binary64)))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B (-.f64 C A)) #s(literal -1/2 binary64))))) |
(*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))))) |
(*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))))) |
(*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B (-.f64 C A)) #s(literal -1/2 binary64)))))) |
(*.f64 #s(literal 180 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))))) (PI.f64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) #s(literal 180 binary64)))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 C A) B B) A)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) (*.f64 (*.f64 B (/.f64 B A)) #s(literal 1/2 binary64))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (fma.f64 (/.f64 B (*.f64 C C)) A (/.f64 B C)) #s(literal -1/2 binary64) #s(literal 0 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B)))) |
(*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) B) B) (-.f64 C A))) B)))) |
(*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (fma.f64 (/.f64 (*.f64 B B) (*.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (-.f64 C A))) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 A C))) B)))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(approx (- C (sqrt (+ (* B B) (* C C)))) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 C C) C)) B) B (/.f64 #s(literal -1/2 binary64) C)) (*.f64 B B))) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B)))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 (-.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C))) (/.f64 #s(literal 1 binary64) B)) (+.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (sqrt.f64 B)) (/.f64 #s(literal 1 binary64) (sqrt.f64 B)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (fma.f64 (neg.f64 (-.f64 A C)) (-.f64 A C) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (-.f64 C A)) (neg.f64 B)))) (PI.f64))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B (-.f64 C A)) #s(literal -1/2 binary64))))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) |
4 calls:
| 29.0ms | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| 17.0ms | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 11.0ms | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
| 11.0ms | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.3% | 3 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| 74.3% | 3 | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| 74.3% | 3 | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
| 74.3% | 3 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
Compiled 93 to 65 computations (30.1% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64)))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(approx (/ (- C A) B) (/.f64 C B)) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (+.f64 (/.f64 C B) #s(literal 1 binary64))))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C #s(approx (sqrt (+ (* B B) (* C C))) (neg.f64 C))) B))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C #s(approx (sqrt (+ (* B B) (* C C))) (neg.f64 C))) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 C B) #s(literal 2 binary64))))) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/180 binary64))) |
(/.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) (*.f64 (PI.f64) #s(literal 1/180 binary64))) |
(/.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/180 binary64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) #s(literal 0 binary64)))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B (-.f64 C A)) #s(literal -1/2 binary64))))) |
(*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))))) |
(*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))))) |
(*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B (-.f64 C A)) #s(literal -1/2 binary64)))))) |
(*.f64 #s(literal 180 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))))) (PI.f64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) #s(literal 180 binary64)))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 C A) B B) A)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) (*.f64 (*.f64 B (/.f64 B A)) #s(literal 1/2 binary64))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (fma.f64 (/.f64 B (*.f64 C C)) A (/.f64 B C)) #s(literal -1/2 binary64) #s(literal 0 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B)))) |
(*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) B) B) (-.f64 C A))) B)))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B (-.f64 C A)) #s(literal -1/2 binary64))))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) |
6 calls:
| 46.0ms | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
| 34.0ms | B |
| 20.0ms | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| 12.0ms | A |
| 10.0ms | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.8% | 3 | A |
| 68.5% | 3 | B |
| 72.3% | 4 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| 72.3% | 4 | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| 72.3% | 4 | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
| 72.3% | 4 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
Compiled 101 to 71 computations (29.7% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64)))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(approx (/ (- C A) B) (/.f64 C B)) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (+.f64 (/.f64 C B) #s(literal 1 binary64))))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C #s(approx (sqrt (+ (* B B) (* C C))) (neg.f64 C))) B))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C #s(approx (sqrt (+ (* B B) (* C C))) (neg.f64 C))) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 C B) #s(literal 2 binary64))))) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/180 binary64))) |
(/.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) (*.f64 (PI.f64) #s(literal 1/180 binary64))) |
(/.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/180 binary64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) #s(literal 0 binary64)))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B (-.f64 C A)) #s(literal -1/2 binary64))))) |
(*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))))) |
(*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))))) |
(*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B (-.f64 C A)) #s(literal -1/2 binary64)))))) |
(*.f64 #s(literal 180 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))))) (PI.f64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) #s(literal 180 binary64)))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 C A) B B) A)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (PI.f64))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B (-.f64 C A)) #s(literal -1/2 binary64))))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) |
1 calls:
| 10.0ms | A |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.8% | 3 | A |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64)))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(approx (/ (- C A) B) (/.f64 C B)) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (+.f64 (/.f64 C B) #s(literal 1 binary64))))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C #s(approx (sqrt (+ (* B B) (* C C))) (neg.f64 C))) B))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C #s(approx (sqrt (+ (* B B) (* C C))) (neg.f64 C))) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 C B) #s(literal 2 binary64))))) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/180 binary64))) |
(/.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) (*.f64 (PI.f64) #s(literal 1/180 binary64))) |
(/.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/180 binary64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) #s(literal 0 binary64)))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B (-.f64 C A)) #s(literal -1/2 binary64))))) |
(*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))))) |
(*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))))) |
(*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B (-.f64 C A)) #s(literal -1/2 binary64)))))) |
(*.f64 #s(literal 180 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))))) (PI.f64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) #s(literal 180 binary64)))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 C A) B B) A)))) (PI.f64))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B (-.f64 C A)) #s(literal -1/2 binary64))))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) |
5 calls:
| 42.0ms | A |
| 19.0ms | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
| 9.0ms | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 8.0ms | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| 8.0ms | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.0% | 4 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| 72.0% | 4 | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| 72.0% | 4 | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
| 72.0% | 4 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 68.7% | 2 | A |
Compiled 97 to 68 computations (29.9% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64)))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(approx (/ (- C A) B) (/.f64 C B)) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (+.f64 (/.f64 C B) #s(literal 1 binary64))))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C #s(approx (sqrt (+ (* B B) (* C C))) (neg.f64 C))) B))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C #s(approx (sqrt (+ (* B B) (* C C))) (neg.f64 C))) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 C B) #s(literal 2 binary64))))) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/180 binary64))) |
(/.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) (*.f64 (PI.f64) #s(literal 1/180 binary64))) |
(/.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/180 binary64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) #s(literal 0 binary64)))) (PI.f64))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) |
6 calls:
| 20.0ms | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
| 8.0ms | B |
| 8.0ms | A |
| 7.0ms | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 6.0ms | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.0% | 2 | B |
| 66.3% | 2 | A |
| 67.2% | 4 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| 67.2% | 4 | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| 67.2% | 4 | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
| 67.2% | 4 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
Compiled 101 to 71 computations (29.7% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64)))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(approx (/ (- C A) B) (/.f64 C B)) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (+.f64 (/.f64 C B) #s(literal 1 binary64))))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C #s(approx (sqrt (+ (* B B) (* C C))) (neg.f64 C))) B))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C #s(approx (sqrt (+ (* B B) (* C C))) (neg.f64 C))) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 C B) #s(literal 2 binary64))))) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/180 binary64))) |
(/.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) (*.f64 (PI.f64) #s(literal 1/180 binary64))) |
(/.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/180 binary64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(approx (/ (- C A) B) (/.f64 C B)) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64)))) (PI.f64))) |
7 calls:
| 38.0ms | A |
| 14.0ms | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 7.0ms | C |
| 7.0ms | B |
| 6.0ms | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.7% | 3 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| 52.7% | 3 | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| 52.7% | 3 | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
| 57.4% | 5 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 55.1% | 3 | C |
| 53.8% | 2 | B |
| 62.8% | 3 | A |
Compiled 105 to 74 computations (29.5% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64)))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(approx (/ (- C A) B) (/.f64 C B)) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (+.f64 (/.f64 C B) #s(literal 1 binary64))))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C #s(approx (sqrt (+ (* B B) (* C C))) (neg.f64 C))) B))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C #s(approx (sqrt (+ (* B B) (* C C))) (neg.f64 C))) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(approx (/ (- C A) B) (/.f64 C B)) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64)))) (PI.f64))) |
1 calls:
| 14.0ms | A |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.7% | 3 | A |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64)))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(approx (/ (- C A) B) (/.f64 C B)) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (+.f64 (/.f64 C B) #s(literal 1 binary64))))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64)))) (PI.f64))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(approx (/ (- C A) B) (/.f64 C B)) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
2 calls:
| 4.0ms | B |
| 4.0ms | A |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.8% | 2 | B |
| 55.2% | 3 | A |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (- C (sqrt (+ (* B B) (* C C)))) B) #s(literal 1 binary64)))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
7 calls:
| 14.0ms | C |
| 2.0ms | B |
| 2.0ms | A |
| 2.0ms | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| 2.0ms | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 39.7% | 2 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| 39.7% | 2 | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| 39.7% | 2 | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
| 39.7% | 2 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 27.9% | 3 | C |
| 28.8% | 3 | A |
| 44.9% | 3 | B |
Compiled 105 to 74 computations (29.5% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
5 calls:
| 2.0ms | B |
| 1.0ms | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 1.0ms | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| 1.0ms | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| 1.0ms | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 28.1% | 2 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| 28.1% | 2 | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| 28.1% | 2 | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
| 28.1% | 2 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 29.9% | 2 | B |
Compiled 97 to 68 computations (29.9% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
7 calls:
| 1.0ms | B |
| 1.0ms | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 1.0ms | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| 1.0ms | A |
| 1.0ms | C |
| Accuracy | Segments | Branch |
|---|---|---|
| 22.1% | 1 | C |
| 22.1% | 1 | A |
| 22.1% | 1 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| 22.1% | 1 | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| 22.1% | 1 | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
| 22.1% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 22.1% | 1 | B |
Compiled 105 to 74 computations (29.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.0 |
| 0.0ms | -0.13730268094328718 | -0.0 |
Compiled 29 to 25 computations (13.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.0 |
| 0.0ms | -0.13730268094328718 | -0.0 |
Compiled 29 to 25 computations (13.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 29.0ms | 1.154125007267372e-151 | 2.9280305286890355e-146 |
| 52.0ms | -15104018551318.941 | -5.684775700833052e-8 |
| 31.0ms | 66× | 2 | valid |
| 27.0ms | 215× | 0 | valid |
| 9.0ms | 39× | 1 | valid |
Compiled 789 to 564 computations (28.5% saved)
ival-div: 8.0ms (17.1% of total)ival-pow2: 8.0ms (17.1% of total)ival-sub: 7.0ms (14.9% of total)adjust: 6.0ms (12.8% of total)ival-mult: 6.0ms (12.8% of total)ival-sqrt: 5.0ms (10.7% of total)ival-atan: 4.0ms (8.5% of total)ival-add: 2.0ms (4.3% of total)ival-pi: 1.0ms (2.1% 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 | 1.154125007267372e-151 | 2.9280305286890355e-146 |
| 1.0ms | -15104018551318.941 | -5.684775700833052e-8 |
Compiled 789 to 564 computations (28.5% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.0 |
| 0.0ms | -0.9999999999999999 | -0.13730268094328718 |
| 0.0ms | -49920774519664.07 | -1.0 |
Compiled 29 to 25 computations (13.8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 29.0ms | -1.0832010577561549e-91 | -7.846311021821454e-95 |
| 10.0ms | 85× | 0 | valid |
| 8.0ms | 19× | 2 | valid |
| 6.0ms | 24× | 1 | valid |
Compiled 285 to 224 computations (21.4% saved)
ival-div: 3.0ms (17.4% of total)ival-pow2: 3.0ms (17.4% of total)ival-sub: 2.0ms (11.6% of total)adjust: 2.0ms (11.6% of total)ival-mult: 2.0ms (11.6% of total)ival-sqrt: 1.0ms (5.8% of total)ival-add: 1.0ms (5.8% of total)ival-atan: 1.0ms (5.8% of total)ival-assert: 0.0ms (0% of total)ival-pi: 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 |
|---|---|---|
| 23.0ms | 2.078405984423436e+69 | 4.749204989309451e+70 |
| 1.0ms | -1.0832010577561549e-91 | -7.846311021821454e-95 |
| 12.0ms | 92× | 0 | valid |
| 4.0ms | 12× | 2 | valid |
| 3.0ms | 8× | 1 | valid |
Compiled 494 to 384 computations (22.3% saved)
ival-div: 3.0ms (20% of total)ival-mult: 3.0ms (20% of total)ival-sub: 2.0ms (13.3% of total)ival-pow2: 2.0ms (13.3% of total)adjust: 1.0ms (6.7% of total)ival-sqrt: 1.0ms (6.7% of total)ival-add: 1.0ms (6.7% of total)ival-atan: 1.0ms (6.7% of total)ival-assert: 0.0ms (0% of total)ival-pi: 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 | 2.078405984423436e+69 | 4.749204989309451e+70 |
| 1.0ms | -1.0832010577561549e-91 | -7.846311021821454e-95 |
Compiled 494 to 384 computations (22.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 38.0ms | 2.9032271213645924e-12 | 0.0004766057521323318 |
| 16.0ms | 93× | 0 | valid |
| 11.0ms | 31× | 2 | valid |
| 5.0ms | 20× | 1 | valid |
Compiled 272 to 222 computations (18.4% saved)
ival-pow2: 4.0ms (18.6% of total)ival-sub: 3.0ms (13.9% of total)ival-div: 3.0ms (13.9% of total)adjust: 3.0ms (13.9% of total)ival-sqrt: 3.0ms (13.9% of total)ival-mult: 3.0ms (13.9% of total)ival-add: 1.0ms (4.6% of total)ival-atan: 1.0ms (4.6% of total)ival-assert: 0.0ms (0% of total)ival-pi: 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 |
|---|---|---|
| 72.0ms | 8.754142626002744e-155 | 7.172461130106739e-145 |
| 28.0ms | -3.1808603965553896e-68 | -1.2511699957522797e-72 |
| 63.0ms | 84× | 2 | valid |
| 20.0ms | 183× | 0 | valid |
| 5.0ms | 21× | 1 | valid |
Compiled 425 to 384 computations (9.6% saved)
ival-sqrt: 40.0ms (51.3% of total)ival-pow2: 7.0ms (9% of total)ival-sub: 6.0ms (7.7% of total)ival-div: 6.0ms (7.7% of total)adjust: 6.0ms (7.7% of total)ival-mult: 6.0ms (7.7% of total)ival-atan: 3.0ms (3.8% of total)ival-add: 2.0ms (2.6% of total)ival-pi: 1.0ms (1.3% 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 |
|---|---|---|
| 1.0ms | 8.754142626002744e-155 | 7.172461130106739e-145 |
Compiled 249 to 224 computations (10% saved)
| 1× | egg-herbie |
| 46× | *-commutative_binary64 |
| 26× | +-commutative_binary64 |
| 20× | sub-neg_binary64 |
| 10× | neg-sub0_binary64 |
| 10× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 142 | 1138 |
| 1 | 175 | 1138 |
| 2 | 190 | 1138 |
| 3 | 200 | 1138 |
| 4 | 205 | 1138 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) (if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B (-.f64 C A)) #s(literal -1/2 binary64))))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))))) |
(if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)))) (if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B (-.f64 C A)) #s(literal -1/2 binary64))))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))))) |
(if (<=.f64 A #s(literal -6989102394647075/37778931862957161709568 binary64)) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B (-.f64 C A)) #s(literal -1/2 binary64))))) (if (<=.f64 A #s(literal 138206631768367/14396524142538228424993723224595141948383030778566133225922417832357880258148761185020930195532450742879746914027266864394266451377581759004827248578768524336431104 binary64)) (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))))) |
(if (<=.f64 A #s(literal -6989102394647075/37778931862957161709568 binary64)) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B (-.f64 C A)) #s(literal -1/2 binary64))))) (if (<=.f64 A #s(literal 138206631768367/14396524142538228424993723224595141948383030778566133225922417832357880258148761185020930195532450742879746914027266864394266451377581759004827248578768524336431104 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))))) |
(if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal -40000000000000 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) (if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal -1/2 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) (if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B (-.f64 C A)) #s(literal -1/2 binary64))))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64)))))) |
(if (<=.f64 A #s(literal -6238316235492995/73391955711682288371546268649666782105490079653384995959602842860381532034831513858240593699524021969747968 binary64)) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64)))) |
(if (<=.f64 A #s(literal -6238316235492995/73391955711682288371546268649666782105490079653384995959602842860381532034831513858240593699524021969747968 binary64)) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) (if (<=.f64 A #s(literal 2100000000000000152316016401211393764932586260257696106588241326505984 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(approx (/ (- C A) B) (/.f64 C B)) #s(literal 1 binary64)))) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64)))) (PI.f64))))) |
(if (<=.f64 A #s(literal -6238316235492995/73391955711682288371546268649666782105490079653384995959602842860381532034831513858240593699524021969747968 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) (if (<=.f64 A #s(literal 2100000000000000152316016401211393764932586260257696106588241326505984 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(approx (/ (- C A) B) (/.f64 C B)) #s(literal 1 binary64)))) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 A B) #s(literal -2 binary64)))) (PI.f64))))) |
(if (<=.f64 B #s(literal 2115620184325601/302231454903657293676544 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(approx (/ (- C A) B) (/.f64 C B)) #s(literal 1 binary64)))) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64)))) |
(if (<=.f64 B #s(literal -4351578318585633/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) (PI.f64))) (if (<=.f64 B #s(literal 5758609657015291/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))))) |
(if (<=.f64 B #s(literal 5758609657015291/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64)))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
| Outputs |
|---|
(if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) (if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 (/.f64 B (-.f64 C A)) #s(literal -1/2 binary64))))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))))) |
(if (<=.f64 (*.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B #s(literal 2 binary64)) (pow.f64 (-.f64 A C) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) B)) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 (/.f64 (atan.f64 (*.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B #s(literal 2 binary64)) (pow.f64 (-.f64 A C) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) B))) (PI.f64)) #s(literal 180 binary64)) (if (<=.f64 (*.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B #s(literal 2 binary64)) (pow.f64 (-.f64 A C) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) B)) #s(literal 0 binary64)) (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (/.f64 #s(literal 180 binary64) (PI.f64))) (*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64)) #s(literal 180 binary64)))) |
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| 9 712× | lower-fma.f64 |
| 9 712× | lower-fma.f32 |
| 8 978× | lower-fma.f64 |
| 8 978× | lower-fma.f32 |
| 8 056× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 793 | 14379 |
| 1 | 2303 | 14062 |
| 2 | 6794 | 13974 |
| 0 | 8279 | 11379 |
| 0 | 53 | 566 |
| 0 | 86 | 561 |
| 1 | 316 | 525 |
| 2 | 2386 | 525 |
| 0 | 9389 | 392 |
| 0 | 17 | 80 |
| 0 | 29 | 80 |
| 1 | 132 | 76 |
| 2 | 995 | 76 |
| 0 | 8622 | 54 |
| 0 | 62 | 592 |
| 0 | 89 | 574 |
| 1 | 310 | 548 |
| 2 | 2194 | 548 |
| 0 | 8205 | 398 |
| 0 | 910 | 18174 |
| 1 | 2744 | 17628 |
| 0 | 8304 | 14362 |
| 0 | 649 | 4231 |
| 1 | 2024 | 4036 |
| 2 | 6285 | 3996 |
| 0 | 8196 | 3465 |
| 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× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 860 to 838 computations (54.9% saved)
Compiled 1 224 to 264 computations (78.4% saved)
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