
Time bar (total: 11.8s)
| 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)
| 773.0ms | 5 612× | 0 | valid |
| 653.0ms | 1 628× | 2 | valid |
| 289.0ms | 1 016× | 1 | valid |
ival-mult: 246.0ms (17.8% of total)ival-pow2: 233.0ms (16.9% of total)ival-div: 220.0ms (15.9% of total)ival-sub: 195.0ms (14.1% of total)adjust: 169.0ms (12.2% of total)ival-sqrt: 100.0ms (7.2% of total)ival-atan: 91.0ms (6.6% of total)ival-add: 69.0ms (5% of total)ival-pi: 40.0ms (2.9% of total)exact: 8.0ms (0.6% of total)ival-true: 7.0ms (0.5% of total)ival-assert: 4.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 139 | 0 | - | 1 | (-1.687779532688029e-251 9.601898831046465e-165 -1.2214636985251514e-161) | (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) |
| 39 | 1 | (1.5322581013635573e+27 -5.28275244444008e-45 9.032934247926934e+233) | 0 | - | (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))) |
| 26 | 1 | (-5.83093173702945e+289 -4.684482923413075e-22 1.7636617485116943e+301) | 3 | (3.968627469968638e+218 1.1474719164641536e-24 1.2741977558841036e+268) | (*.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)))))) |
| 2 | 0 | - | 2 | (-1.7936554263112177e+224 -7.350281295804345e-88 3.540454919422897e+234) | (*.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 | - | 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 | - | #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 | 135 | 0 |
| ↳ | (pow.f64 B #s(literal 2 binary64)) | overflow | 52 | |
| ↳ | (pow.f64 (-.f64 A C) #s(literal 2 binary64)) | overflow | 104 | |
| ↳ | (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) | overflow | 135 | |
-.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 | 40 | 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 | 24 | 0 |
sqrt.f64 | (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) | uflow-rescue | 3 | 0 |
| ↳ | (pow.f64 B #s(literal 2 binary64)) | underflow | 59 | |
| ↳ | (pow.f64 (-.f64 A C) #s(literal 2 binary64)) | underflow | 21 | |
| ↳ | (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) | underflow | 3 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 128 | 1 |
| - | 44 | 83 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 128 | 0 | 1 |
| - | 44 | 0 | 83 |
| number | freq |
|---|---|
| 0 | 84 |
| 1 | 142 |
| 2 | 30 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 68.0ms | 340× | 0 | valid |
| 48.0ms | 116× | 2 | valid |
| 18.0ms | 56× | 1 | valid |
Compiled 306 to 61 computations (80.1% saved)
ival-sub: 32.0ms (31.3% of total)ival-pow2: 16.0ms (15.7% of total)ival-mult: 13.0ms (12.7% of total)adjust: 11.0ms (10.8% of total)ival-div: 10.0ms (9.8% of total)ival-sqrt: 6.0ms (5.9% of total)ival-atan: 6.0ms (5.9% of total)ival-add: 4.0ms (3.9% of total)ival-pi: 2.0ms (2% of total)ival-true: 1.0ms (1% of total)exact: 1.0ms (1% 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 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
Compiled 26 to 19 computations (26.9% saved)
Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 54.5% | (*.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 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B)) (/.f64 #s(literal 180 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)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.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 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.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 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.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 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.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 C A) (-.f64 C A) (*.f64 B B))) |
(+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) |
(fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)) |
(pow.f64 (-.f64 A C) #s(literal 2 binary64)) |
(*.f64 (-.f64 C A) (-.f64 C A)) |
(-.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 | 0.12074103754381084 | (*.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 | 5.692980383840106 | (*.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 | 8.774964736190558 | (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))) | |
| accuracy | 32.12316432813191 | (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) |
| 28.0ms | 58× | 2 | valid |
| 24.0ms | 170× | 0 | valid |
| 7.0ms | 28× | 1 | valid |
Compiled 140 to 21 computations (85% saved)
ival-div: 11.0ms (25.5% of total)ival-sub: 7.0ms (16.2% of total)ival-pow2: 6.0ms (13.9% of total)adjust: 5.0ms (11.6% of total)ival-mult: 5.0ms (11.6% of total)ival-sqrt: 3.0ms (6.9% of total)ival-atan: 3.0ms (6.9% of total)ival-add: 2.0ms (4.6% of total)ival-pi: 1.0ms (2.3% 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 #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))) (patch (*.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))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (pow B 2) (taylor 0 B) (#s(alt (pow.f64 B #s(literal 2 binary64)) (patch (pow.f64 B #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow B 2) (taylor 0 B) (#s(alt (pow.f64 B #s(literal 2 binary64)) (patch (pow.f64 B #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow B 2) (taylor 0 B) (#s(alt (pow.f64 B #s(literal 2 binary64)) (patch (pow.f64 B #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow B 2) (taylor 0 B) (#s(alt (pow.f64 B #s(literal 2 binary64)) (patch (pow.f64 B #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow B 2) (taylor inf B) (#s(alt (pow.f64 B #s(literal 2 binary64)) (patch (pow.f64 B #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow B 2) (taylor inf B) (#s(alt (pow.f64 B #s(literal 2 binary64)) (patch (pow.f64 B #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow B 2) (taylor inf B) (#s(alt (pow.f64 B #s(literal 2 binary64)) (patch (pow.f64 B #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow B 2) (taylor inf B) (#s(alt (pow.f64 B #s(literal 2 binary64)) (patch (pow.f64 B #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow B 2) (taylor -inf B) (#s(alt (pow.f64 B #s(literal 2 binary64)) (patch (pow.f64 B #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow B 2) (taylor -inf B) (#s(alt (pow.f64 B #s(literal 2 binary64)) (patch (pow.f64 B #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow B 2) (taylor -inf B) (#s(alt (pow.f64 B #s(literal 2 binary64)) (patch (pow.f64 B #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow B 2) (taylor -inf B) (#s(alt (pow.f64 B #s(literal 2 binary64)) (patch (pow.f64 B #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow C 2) (taylor 0 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 (+ (* -2 (* A C)) (pow C 2)) (taylor 0 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 (+ (* A (+ A (* -2 C))) (pow C 2)) (taylor 0 A) (#s(alt (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (patch (pow.f64 (-.f64 A C) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
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54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | B | @ | inf | (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) |
| 2.0ms | B | @ | 0 | (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) |
| 1.0ms | A | @ | 0 | (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) |
| 1.0ms | C | @ | 0 | (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) |
| 1.0ms | C | @ | -inf | (* 180 (/ (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 |
| 5 834× | lower-*.f64 |
| 5 834× | lower-*.f32 |
| 3 320× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 653 | 4303 |
| 1 | 2037 | 4108 |
| 2 | 6286 | 4068 |
| 0 | 8196 | 3537 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow C 2) |
(+ (* -2 (* A C)) (pow C 2)) |
(+ (* A (+ A (* -2 C))) (pow C 2)) |
(+ (* A (+ A (* -2 C))) (pow C 2)) |
(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))))) |
(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)))) |
(pow A 2) |
(+ (* -2 (* A C)) (pow A 2)) |
(+ (* C (+ C (* -2 A))) (pow A 2)) |
(+ (* C (+ C (* -2 A))) (pow A 2)) |
(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))))) |
(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) (* 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 |
(- (/ 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 |
(- (+ 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 (/ (+ 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 (* -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))))))) |
(* 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 (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)) |
(* 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))))) |
(* 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 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))) |
(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)))))) |
(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)))) |
(+ (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))) |
(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)))))) |
(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)))) |
(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)) |
(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)))) |
(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)))) |
(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)))))))))) |
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))))))) |
(* -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))))) |
(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)))))))))) |
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 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))))) |
(- 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) |
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) |
(* -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)))))))) |
(* -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 (* -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)))))) |
(* 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))) |
(- 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)))) |
(* -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))))))) |
(* 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)) |
(- (* 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)) |
(* -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))))) |
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))) |
(* 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))) |
(* 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))) |
(* 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 (* -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 (/ (- 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 (* -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))) |
| Outputs |
|---|
(pow B 2) |
(*.f64 B B) |
(pow B 2) |
(*.f64 B B) |
(pow B 2) |
(*.f64 B B) |
(pow B 2) |
(*.f64 B B) |
(pow B 2) |
(*.f64 B B) |
(pow B 2) |
(*.f64 B B) |
(pow B 2) |
(*.f64 B B) |
(pow B 2) |
(*.f64 B B) |
(pow B 2) |
(*.f64 B B) |
(pow B 2) |
(*.f64 B B) |
(pow B 2) |
(*.f64 B B) |
(pow B 2) |
(*.f64 B B) |
(pow C 2) |
(*.f64 C C) |
(+ (* -2 (* A C)) (pow C 2)) |
(*.f64 C (fma.f64 #s(literal -2 binary64) A C)) |
(+ (* A (+ A (* -2 C))) (pow C 2)) |
(fma.f64 C (fma.f64 #s(literal -2 binary64) A C) (*.f64 A A)) |
(+ (* A (+ A (* -2 C))) (pow C 2)) |
(fma.f64 C (fma.f64 #s(literal -2 binary64) A C) (*.f64 A A)) |
(pow A 2) |
(*.f64 A A) |
(* (pow A 2) (+ 1 (* -2 (/ C A)))) |
(*.f64 (*.f64 A A) (fma.f64 #s(literal -2 binary64) (/.f64 C A) #s(literal 1 binary64))) |
(* (pow A 2) (+ 1 (+ (* -2 (/ C A)) (/ (pow C 2) (pow A 2))))) |
(*.f64 (*.f64 A A) (fma.f64 C (/.f64 C (*.f64 A A)) (fma.f64 #s(literal -2 binary64) (/.f64 C A) #s(literal 1 binary64)))) |
(* (pow A 2) (+ 1 (+ (* -2 (/ C A)) (/ (pow C 2) (pow A 2))))) |
(*.f64 (*.f64 A A) (fma.f64 C (/.f64 C (*.f64 A A)) (fma.f64 #s(literal -2 binary64) (/.f64 C A) #s(literal 1 binary64)))) |
(pow A 2) |
(*.f64 A A) |
(* (pow A 2) (+ 1 (* -2 (/ C A)))) |
(*.f64 (*.f64 A A) (fma.f64 #s(literal -2 binary64) (/.f64 C A) #s(literal 1 binary64))) |
(* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow C 2) A)) (* 2 C)) A)))) |
(*.f64 (*.f64 A A) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) C (*.f64 C (/.f64 C (neg.f64 A)))) A))) |
(* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow C 2) A)) (* 2 C)) A)))) |
(*.f64 (*.f64 A A) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) C (*.f64 C (/.f64 C (neg.f64 A)))) A))) |
(pow A 2) |
(*.f64 A A) |
(+ (* -2 (* A C)) (pow A 2)) |
(*.f64 A (fma.f64 C #s(literal -2 binary64) A)) |
(+ (* C (+ C (* -2 A))) (pow A 2)) |
(fma.f64 C (fma.f64 #s(literal -2 binary64) A C) (*.f64 A A)) |
(+ (* C (+ C (* -2 A))) (pow A 2)) |
(fma.f64 C (fma.f64 #s(literal -2 binary64) A C) (*.f64 A A)) |
(pow C 2) |
(*.f64 C C) |
(* (pow C 2) (+ 1 (* -2 (/ A C)))) |
(*.f64 C (*.f64 C (fma.f64 #s(literal -2 binary64) (/.f64 A C) #s(literal 1 binary64)))) |
(* (pow C 2) (+ 1 (+ (* -2 (/ A C)) (/ (pow A 2) (pow C 2))))) |
(*.f64 C (*.f64 C (fma.f64 #s(literal -2 binary64) (/.f64 A C) (fma.f64 A (/.f64 A (*.f64 C C)) #s(literal 1 binary64))))) |
(* (pow C 2) (+ 1 (+ (* -2 (/ A C)) (/ (pow A 2) (pow C 2))))) |
(*.f64 C (*.f64 C (fma.f64 #s(literal -2 binary64) (/.f64 A C) (fma.f64 A (/.f64 A (*.f64 C C)) #s(literal 1 binary64))))) |
(pow C 2) |
(*.f64 C C) |
(* (pow C 2) (+ 1 (* -2 (/ A C)))) |
(*.f64 C (*.f64 C (fma.f64 #s(literal -2 binary64) (/.f64 A C) #s(literal 1 binary64)))) |
(* (pow C 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow A 2) C)) (* 2 A)) C)))) |
(*.f64 (*.f64 C C) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) A) (/.f64 (*.f64 A A) C)) C))) |
(* (pow C 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow A 2) C)) (* 2 A)) C)))) |
(*.f64 (*.f64 C C) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) A) (/.f64 (*.f64 A A) C)) C))) |
(/ (- (* 2 C) (* 2 A)) B) |
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 C A)) B) |
(/ (- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) B) |
(/.f64 (fma.f64 #s(literal 2 binary64) (-.f64 C A) (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) (-.f64 A C))) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 B B) (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (-.f64 A C)))) (/.f64 #s(literal -1/2 binary64) (-.f64 A C))) (*.f64 #s(literal 2 binary64) (-.f64 C 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) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 B B) (pow.f64 (-.f64 A C) #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (-.f64 A C))))) (/.f64 #s(literal -1/2 binary64) (-.f64 A C))) (*.f64 #s(literal 2 binary64) (-.f64 C A))) B) |
-1 |
#s(literal -1 binary64) |
(- (/ C B) (+ 1 (/ A B))) |
(+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B)) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 A C) #s(literal 4 binary64)) (*.f64 (*.f64 B B) (*.f64 B B))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ C B)) (/ A B)) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- A C) 2) B))) B))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (-.f64 A C) (-.f64 C A)) (/.f64 #s(literal 1/2 binary64) B) (-.f64 A C)) B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) B))) |
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A |
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(fma.f64 C (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) C) (-.f64 #s(literal 1 binary64) (*.f64 A (/.f64 A (fma.f64 A A (*.f64 B B))))) (neg.f64 A))) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) |
(+ (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)))))))))) |
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C |
(* C (+ 1 (* -1 (/ A C)))) |
(-.f64 C (*.f64 C (/.f64 A C))) |
(* C (+ 1 (+ (* -1 (/ A C)) (* 1/2 (/ (pow B 2) (pow C 2)))))) |
(fma.f64 C (-.f64 (/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) (*.f64 C C)) (/.f64 A C)) C) |
(* C (+ 1 (+ (* -1 (/ A C)) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 3))) (* 1/2 (/ (pow B 2) (pow C 2))))))) |
(fma.f64 C (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 B B) (/.f64 A (*.f64 C (*.f64 C C))) (/.f64 (*.f64 B B) (*.f64 C C))) (/.f64 (neg.f64 A) C)) C) |
(* -1 C) |
(neg.f64 C) |
(* -1 (* C (+ 1 (* -1 (/ A C))))) |
(fma.f64 C (/.f64 A C) (neg.f64 C)) |
(* -1 (* C (+ 1 (* -1 (/ (+ A (* -1/2 (/ (pow B 2) C))) C))))) |
(fma.f64 C (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) C) A) C) (neg.f64 C)) |
(* -1 (* C (+ 1 (* -1 (/ (+ A (* -1 (/ (+ (* 1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C))) C))))) |
(fma.f64 C (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 B B (/.f64 (*.f64 (*.f64 B B) A) C)) C) A) C) (neg.f64 C)) |
(- A C) |
(-.f64 A C) |
(- (+ A (* 1/2 (/ (pow B 2) (- A C)))) C) |
(-.f64 (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/2 binary64) (-.f64 A C)) A) C) |
(- (+ A (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) C) |
(fma.f64 (*.f64 B B) (fma.f64 (/.f64 (*.f64 B B) (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (-.f64 A C)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 A C))) (-.f64 A 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) |
(fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (/.f64 (*.f64 B B) (pow.f64 (-.f64 A C) #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (-.f64 C A))))) (/.f64 #s(literal 1/2 binary64) (-.f64 A C))) (-.f64 A C)) |
B |
(* B (+ 1 (* 1/2 (/ (pow (- A C) 2) (pow B 2))))) |
(fma.f64 B (/.f64 (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) #s(literal 1/2 binary64))) (*.f64 B B)) B) |
(* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (* 1/2 (/ (pow (- A C) 2) (pow B 2)))))) |
(fma.f64 B (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B)) (/.f64 (*.f64 (pow.f64 (-.f64 A C) #s(literal 4 binary64)) #s(literal -1/8 binary64)) (*.f64 (*.f64 B B) (*.f64 B B)))) B) |
(* 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))))))) |
(fma.f64 B (fma.f64 (/.f64 (pow.f64 (-.f64 A C) #s(literal 4 binary64)) (*.f64 (*.f64 B B) (*.f64 B B))) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B)) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (-.f64 A C) #s(literal 6 binary64))) (pow.f64 B #s(literal 6 binary64))))) B) |
(* -1 B) |
(neg.f64 B) |
(* -1 (* B (+ 1 (* 1/2 (/ (pow (- A C) 2) (pow B 2)))))) |
(fma.f64 (*.f64 B (/.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B))) #s(literal -1/2 binary64) (neg.f64 B)) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (* 1/2 (/ (pow (- A C) 2) (pow B 2))))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 A C) #s(literal 4 binary64)) (*.f64 (*.f64 B B) (*.f64 B B))) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B)) #s(literal 1 binary64))) (neg.f64 B)) |
(* -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)))))))) |
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(* -1 (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) |
(- (* C (- 1 (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(-.f64 (fma.f64 C (fma.f64 A (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 A A (*.f64 B B))))) 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 C (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) C) (-.f64 #s(literal 1 binary64) (*.f64 A (/.f64 A (fma.f64 A A (*.f64 B B))))) A) #s(literal 1 binary64)) (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B))))) |
(- (* 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))))) |
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(* -1 (+ A (* -1 A))) |
#s(literal 0 binary64) |
(- (* -1/2 (/ (pow B 2) C)) (+ A (* -1 A))) |
(/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C) |
(- (* -1/2 (/ (* A (pow B 2)) (pow C 2))) (+ A (+ (* -1 A) (* 1/2 (/ (pow B 2) C))))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 B B (/.f64 (*.f64 (*.f64 B B) A) C))) 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)))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/4 binary64)) (*.f64 B (*.f64 B (*.f64 A A)))) (*.f64 C (*.f64 C C))) (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 B B) (/.f64 A (*.f64 C C)) (/.f64 (*.f64 B B) C)))) |
(* 2 C) |
(*.f64 #s(literal 2 binary64) C) |
(* -1 (* C (- (* 2 (/ A C)) 2))) |
(neg.f64 (*.f64 C (fma.f64 #s(literal 2 binary64) (/.f64 A C) #s(literal -2 binary64)))) |
(* -1 (* C (- (* -1 (/ (- (* 1/2 (/ (pow B 2) C)) (* 2 A)) C)) 2))) |
(*.f64 (-.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 B B) C) (*.f64 #s(literal -2 binary64) A)) C)) (neg.f64 C)) |
(* -1 (* C (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C)) (* 2 A)) C)) 2))) |
(*.f64 (+.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 B B (/.f64 (*.f64 (*.f64 B B) A) C)) C) (*.f64 #s(literal 2 binary64) A)) C)) (neg.f64 C)) |
(- C (sqrt (+ (pow B 2) (pow C 2)))) |
(-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) |
(- (+ C (* -1 (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(fma.f64 A (fma.f64 C (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) #s(literal -1 binary64)) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) |
(- (+ 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)))) |
(fma.f64 A (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) (*.f64 (*.f64 #s(literal -1/2 binary64) A) (fma.f64 (neg.f64 C) (/.f64 C (fma.f64 B B (*.f64 C C))) #s(literal 1 binary64))) (fma.f64 C (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) #s(literal -1 binary64))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) |
(- (+ 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)))) |
(fma.f64 A (fma.f64 A (*.f64 #s(literal -1/2 binary64) (fma.f64 A (*.f64 (*.f64 C (fma.f64 (neg.f64 C) (/.f64 C (fma.f64 B B (*.f64 C C))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 B B (*.f64 C C)) (*.f64 (fma.f64 B B (*.f64 C C)) (fma.f64 B B (*.f64 C C))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) (fma.f64 (neg.f64 C) (/.f64 C (fma.f64 B B (*.f64 C C))) #s(literal 1 binary64))))) (fma.f64 C (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) #s(literal -1 binary64))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) |
(* -2 A) |
(*.f64 #s(literal -2 binary64) A) |
(* A (- (/ C A) (+ 2 (* -1 (/ C A))))) |
(*.f64 A (+.f64 (/.f64 C A) (+.f64 #s(literal -2 binary64) (/.f64 C A)))) |
(* A (- (+ (* -1/2 (/ (pow B 2) (pow A 2))) (/ C A)) (+ 2 (* -1 (/ C A))))) |
(*.f64 A (+.f64 (/.f64 C A) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) (*.f64 A A)) (+.f64 #s(literal -2 binary64) (/.f64 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))))))) |
(*.f64 A (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 B B) C) (*.f64 A (*.f64 A A))) (/.f64 C A)) (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/2 binary64) (*.f64 A A)) (-.f64 #s(literal 2 binary64) (/.f64 C A))))) |
(* 1/2 (/ (pow B 2) A)) |
(/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) A) |
(* -1 (/ (- (* -1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 B B (*.f64 C (/.f64 (*.f64 B B) A)))) 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 (-.f64 (*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/4 binary64)) (*.f64 C (*.f64 (*.f64 B B) C))) A) (*.f64 (*.f64 B B) C)) A) (*.f64 (*.f64 B B) #s(literal 1/2 binary64))) 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 B B) #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/4 binary64)) (*.f64 C (*.f64 (*.f64 B B) C))) (neg.f64 C) (*.f64 #s(literal -1/2 binary64) (*.f64 C (*.f64 (*.f64 B B) (*.f64 B B))))) A) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 B B) (*.f64 B B)))) (*.f64 C (*.f64 (*.f64 B B) C))) A) (*.f64 C (*.f64 (*.f64 B B) #s(literal -1/2 binary64)))) A)) (neg.f64 A)) |
(- (* 2 C) (* 2 A)) |
(*.f64 #s(literal 2 binary64) (-.f64 C A)) |
(- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) |
(fma.f64 #s(literal 2 binary64) (-.f64 C A) (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) (-.f64 A C))) |
(- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) |
(fma.f64 (*.f64 B B) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 B B) (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (-.f64 A C)))) (/.f64 #s(literal -1/2 binary64) (-.f64 A C))) (*.f64 #s(literal 2 binary64) (-.f64 C 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)) |
(fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 B B) (pow.f64 (-.f64 A C) #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (-.f64 A C))))) (/.f64 #s(literal -1/2 binary64) (-.f64 A C))) (*.f64 #s(literal 2 binary64) (-.f64 C A))) |
(* -1 B) |
(neg.f64 B) |
(* B (- (/ C B) (+ 1 (/ A B)))) |
(*.f64 B (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) |
(* B (- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B)))) |
(*.f64 B (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B)) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) |
(* B (- (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B)) (+ 1 (+ (* 1/2 (/ (pow (- A C) 2) (pow B 2))) (/ A B))))) |
(*.f64 B (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 A C) #s(literal 4 binary64)) (*.f64 (*.f64 B B) (*.f64 B B))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) |
B |
(* -1 (* B (- (* -1 (/ (- C A) B)) 1))) |
(neg.f64 (fma.f64 B (/.f64 (-.f64 A C) B) (neg.f64 B))) |
(* -1 (* B (- (* -1 (/ (- (+ C (* 1/2 (/ (pow (- A C) 2) B))) A) B)) 1))) |
(*.f64 B (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 A C) (-.f64 A C)) B) (-.f64 C A)) B)))) |
(* -1 (* B (- (* -1 (/ (- (+ C (* -1 (/ (- (* 1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) A) B)) 1))) |
(*.f64 (neg.f64 B) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 C (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 A C) (-.f64 A C)) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 A C) #s(literal 4 binary64))) (*.f64 B B))) B)) A) B))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
| 4 914× | lower-fma.f64 |
| 4 914× | lower-fma.f32 |
| 4 236× | lower-*.f32 |
| 4 232× | lower-*.f64 |
| 3 400× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 82 |
| 0 | 32 | 82 |
| 1 | 138 | 78 |
| 2 | 1029 | 78 |
| 0 | 8555 | 56 |
| 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 #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 |
|---|
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 B))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 B)) #s(literal 1 binary64))) |
(/.f64 B (/.f64 #s(literal 1 binary64) B)) |
(pow.f64 B #s(literal 2 binary64)) |
(pow.f64 (*.f64 B B) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 B)) |
(*.f64 B B) |
(*.f64 (*.f64 B B) #s(literal 1 binary64)) |
(+.f64 (*.f64 A (-.f64 A C)) (*.f64 C (-.f64 C A))) |
(+.f64 (*.f64 C (-.f64 C A)) (*.f64 A (-.f64 A C))) |
(+.f64 (*.f64 (-.f64 A C) A) (neg.f64 (*.f64 (-.f64 A C) C))) |
(+.f64 (neg.f64 (*.f64 (-.f64 A C) C)) (*.f64 (-.f64 A C) A)) |
(+.f64 (*.f64 (-.f64 C A) C) (neg.f64 (*.f64 (-.f64 C A) A))) |
(+.f64 (neg.f64 (*.f64 (-.f64 C A) A)) (*.f64 (-.f64 C A) C)) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (-.f64 A C)))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (-.f64 A C))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (-.f64 C A)) #s(literal 2 binary64))) |
(fma.f64 A (-.f64 A C) (*.f64 C (-.f64 C A))) |
(fma.f64 C (-.f64 C A) (*.f64 A (-.f64 A C))) |
(fma.f64 (-.f64 A C) A (neg.f64 (*.f64 (-.f64 A C) C))) |
(fma.f64 (-.f64 A C) (neg.f64 C) (*.f64 (-.f64 A C) A)) |
(fma.f64 (-.f64 C A) C (neg.f64 (*.f64 (-.f64 C A) A))) |
(fma.f64 (-.f64 C A) (neg.f64 A) (*.f64 (-.f64 C A) C)) |
(fma.f64 (neg.f64 C) (-.f64 A C) (*.f64 A (-.f64 A C))) |
(fma.f64 (neg.f64 A) (-.f64 C A) (*.f64 C (-.f64 C A))) |
(/.f64 (-.f64 A C) (/.f64 #s(literal 1 binary64) (-.f64 A C))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (fma.f64 A A (*.f64 C (+.f64 A C)))) (*.f64 (*.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (-.f64 A C)) (*.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (-.f64 A C))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (+.f64 A C)) (*.f64 (*.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (-.f64 A C)) (*.f64 (-.f64 A C) (+.f64 A C))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 A C) (fma.f64 A A (*.f64 C (+.f64 A C)))) (*.f64 (*.f64 (-.f64 A C) (+.f64 A C)) (*.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (-.f64 A C))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (*.f64 (-.f64 A C) (*.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (-.f64 A C))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 A C) (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (+.f64 A C))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (*.f64 (*.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (-.f64 A C)) (-.f64 A C)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 A C) (*.f64 (*.f64 (-.f64 A C) (+.f64 A C)) (-.f64 A C)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) (fma.f64 A (+.f64 A C) (*.f64 C C))) (*.f64 (*.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) (-.f64 C A)) (*.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) (-.f64 C A))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) (+.f64 A C)) (*.f64 (*.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) (-.f64 C A)) (*.f64 (-.f64 C A) (+.f64 A C))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 A C) (fma.f64 A (+.f64 A C) (*.f64 C C))) (*.f64 (*.f64 (-.f64 C A) (+.f64 A C)) (*.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) (-.f64 C A))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 A C) (+.f64 A C)) (*.f64 (*.f64 (+.f64 A C) (+.f64 A C)) (*.f64 (-.f64 A C) (-.f64 A C))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) (*.f64 (-.f64 C A) (*.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) (-.f64 C A))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 A C) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (+.f64 A C))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) (*.f64 (*.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) (-.f64 C A)) (-.f64 C A)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 A C) (*.f64 (*.f64 (-.f64 C A) (+.f64 A C)) (-.f64 C A)))) |
(/.f64 (-.f64 C A) (/.f64 #s(literal 1 binary64) (-.f64 C A))) |
(/.f64 (*.f64 (*.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (-.f64 A C)) (*.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (-.f64 A C))) (*.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (fma.f64 A A (*.f64 C (+.f64 A C))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (-.f64 A C)) (*.f64 (-.f64 A C) (+.f64 A C))) (*.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (+.f64 A C))) |
(/.f64 (*.f64 (*.f64 (-.f64 A C) (+.f64 A C)) (*.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (-.f64 A C))) (*.f64 (+.f64 A C) (fma.f64 A A (*.f64 C (+.f64 A C))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) (-.f64 C A)) (*.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) (-.f64 C A))) (*.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) (fma.f64 A (+.f64 A C) (*.f64 C C)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) (-.f64 C A)) (*.f64 (-.f64 C A) (+.f64 A C))) (*.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) (+.f64 A C))) |
(/.f64 (*.f64 (*.f64 (-.f64 C A) (+.f64 A C)) (*.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) (-.f64 C A))) (*.f64 (+.f64 A C) (fma.f64 A (+.f64 A C) (*.f64 C C)))) |
(/.f64 (*.f64 (*.f64 (+.f64 A C) (+.f64 A C)) (*.f64 (-.f64 A C) (-.f64 A C))) (*.f64 (+.f64 A C) (+.f64 A C))) |
(/.f64 (*.f64 (-.f64 A C) (*.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (-.f64 A C))) (fma.f64 A A (*.f64 C (+.f64 A C)))) |
(/.f64 (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (+.f64 A C))) (+.f64 A C)) |
(/.f64 (*.f64 (-.f64 C A) (*.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) (-.f64 C A))) (fma.f64 A (+.f64 A C) (*.f64 C C))) |
(/.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (+.f64 A C))) (+.f64 A C)) |
(/.f64 (*.f64 (*.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (-.f64 A C)) (-.f64 A C)) (fma.f64 A A (*.f64 C (+.f64 A C)))) |
(/.f64 (*.f64 (*.f64 (-.f64 A C) (+.f64 A C)) (-.f64 A C)) (+.f64 A C)) |
(/.f64 (*.f64 (*.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) (-.f64 C A)) (-.f64 C A)) (fma.f64 A (+.f64 A C) (*.f64 C C))) |
(/.f64 (*.f64 (*.f64 (-.f64 C A) (+.f64 A C)) (-.f64 C A)) (+.f64 A C)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (-.f64 A C)) (*.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (-.f64 A C)))) (neg.f64 (*.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (fma.f64 A A (*.f64 C (+.f64 A C)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (-.f64 A C)) (*.f64 (-.f64 A C) (+.f64 A C)))) (neg.f64 (*.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (+.f64 A C)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 A C) (+.f64 A C)) (*.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (-.f64 A C)))) (neg.f64 (*.f64 (+.f64 A C) (fma.f64 A A (*.f64 C (+.f64 A C)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 A C) (+.f64 A C)) (*.f64 (-.f64 A C) (-.f64 A C)))) (neg.f64 (*.f64 (+.f64 A C) (+.f64 A C)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 A C) (*.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (-.f64 A C)))) (neg.f64 (fma.f64 A A (*.f64 C (+.f64 A C))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (+.f64 A C)))) (neg.f64 (+.f64 A C))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (-.f64 A C)) (-.f64 A C))) (neg.f64 (fma.f64 A A (*.f64 C (+.f64 A C))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 A C) (+.f64 A C)) (-.f64 A C))) (neg.f64 (+.f64 A C))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (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 #s(literal 1 binary64) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (*.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) (sqrt.f64 (PI.f64)))))) |
(/.f64 #s(literal 180 binary64) (/.f64 (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 -1 binary64) (neg.f64 (/.f64 (PI.f64) (*.f64 #s(literal 180 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 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) (PI.f64)) |
(/.f64 (*.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)) (neg.f64 (PI.f64))) |
(/.f64 (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.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 A C) (-.f64 A C) (*.f64 B B)))) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) |
(/.f64 #s(literal -180 binary64) (/.f64 (neg.f64 (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)))) |
(/.f64 (neg.f64 (*.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))) (PI.f64)) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (neg.f64 (cbrt.f64 (PI.f64)))) |
(/.f64 (neg.f64 (*.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) (sqrt.f64 (PI.f64))))) (neg.f64 (sqrt.f64 (PI.f64)))) |
(pow.f64 (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 180 binary64) (/.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 180 binary64) (/.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 (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) (PI.f64)) #s(literal 180 binary64))) |
(*.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))) |
(*.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)) |
(*.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) (/.f64 #s(literal 1 binary64) (PI.f64))) |
(*.f64 (*.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 #s(literal -1 binary64) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (cbrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (cbrt.f64 (PI.f64))) (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) |
(*.f64 (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64))) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 #s(literal 180 binary64) (cbrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64)))) |
(*.f64 (*.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) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) |
(*.f64 #s(literal -180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (neg.f64 (PI.f64)))) |
(*.f64 (/.f64 #s(literal 180 binary64) (cbrt.f64 (PI.f64))) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) |
(*.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))) |
(*.f64 (/.f64 #s(literal 180 binary64) (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (/.f64 (neg.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) (cbrt.f64 (PI.f64)))) |
(*.f64 (/.f64 #s(literal 180 binary64) (neg.f64 (sqrt.f64 (PI.f64)))) (/.f64 (neg.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (neg.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 180 binary64) (neg.f64 (sqrt.f64 (PI.f64))))) |
(*.f64 (/.f64 (neg.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) #s(literal 1 binary64)) (/.f64 #s(literal 180 binary64) (neg.f64 (PI.f64)))) |
(*.f64 (/.f64 (neg.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 #s(literal 180 binary64) (neg.f64 (cbrt.f64 (PI.f64))))) |
Compiled 28 122 to 4 008 computations (85.7% saved)
16 alts after pruning (16 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 633 | 16 | 649 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 634 | 16 | 650 |
| Status | Accuracy | Program |
|---|---|---|
| 54.5% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) (PI.f64)) | |
| ▶ | 77.2% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64))) |
| 48.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))))) (PI.f64))) | |
| 22.6% | (*.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 (*.f64 B B) #s(literal -1/2 binary64)) C)))) (PI.f64))) | |
| ▶ | 26.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64)))) (PI.f64))) |
| ▶ | 31.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64)))) (PI.f64))) |
| 23.9% | (*.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 #s(literal 1/2 binary64)) A))) (PI.f64))) | |
| 31.6% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 B (/.f64 C A) B)) A))) (PI.f64))) | |
| ▶ | 21.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal -2 binary64) A) B))) (PI.f64))) |
| 49.7% | (*.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))) | |
| 48.9% | (*.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 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64))) | |
| 34.2% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 C (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 B C) (/.f64 (*.f64 #s(literal -2 binary64) A) B)) C) (/.f64 #s(literal 2 binary64) B))))) (PI.f64))) | |
| 21.9% | (*.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 2 binary64) (/.f64 C B)))) (PI.f64))) | |
| 21.0% | (*.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))) | |
| 13.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) | |
| ▶ | 22.7% | (*.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))) |
Compiled 544 to 402 computations (26.1% 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))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #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))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64)))) (PI.f64))) | |
| cost-diff | 64 | (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64)) | |
| cost-diff | 320 | (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) | |
| cost-diff | 0 | (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64)))) | |
| cost-diff | 0 | (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #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))))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64)))) (PI.f64))) | |
| cost-diff | 64 | (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64)) | |
| cost-diff | 0 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal -2 binary64) A) B)) | |
| cost-diff | 0 | (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal -2 binary64) A) B))) | |
| cost-diff | 0 | (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal -2 binary64) A) 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 #s(literal -2 binary64) A) B))) (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 | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64)) | |
| cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) | |
| cost-diff | 4928 | (hypot.f64 (-.f64 C A) B) |
| 6 544× | lower-fma.f32 |
| 6 538× | lower-fma.f64 |
| 2 336× | lower-*.f32 |
| 2 320× | lower-*.f64 |
| 1 392× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 599 |
| 0 | 89 | 589 |
| 1 | 150 | 549 |
| 2 | 272 | 549 |
| 3 | 578 | 463 |
| 4 | 1278 | 463 |
| 5 | 2484 | 463 |
| 6 | 4833 | 463 |
| 7 | 6440 | 463 |
| 8 | 7296 | 463 |
| 9 | 7739 | 463 |
| 10 | 7968 | 463 |
| 0 | 8009 | 457 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64)) |
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) |
(/.f64 #s(literal 1 binary64) B) |
#s(literal 1 binary64) |
B |
(-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)) |
(-.f64 C A) |
C |
A |
(hypot.f64 (-.f64 C A) 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))))) #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 #s(literal -2 binary64) A) 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 #s(literal -2 binary64) A) B))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal -2 binary64) A) B))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal -2 binary64) A) B)) |
(/.f64 (*.f64 #s(literal -2 binary64) A) B) |
(*.f64 #s(literal -2 binary64) A) |
#s(literal -2 binary64) |
A |
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))))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #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))))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64)))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64))) |
(fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64)) |
B |
(/.f64 #s(literal -1/2 binary64) C) |
#s(literal -1/2 binary64) |
C |
#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))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #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))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64)))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64)) |
#s(literal -1/2 binary64) |
(fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) |
B |
(/.f64 A (*.f64 C C)) |
A |
(*.f64 C C) |
C |
(/.f64 B C) |
#s(literal 0 binary64) |
(PI.f64) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) 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)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) 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)) |
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) |
(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 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) |
(/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B) |
(/.f64 #s(literal 1 binary64) B) |
#s(literal 1 binary64) |
B |
(-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)) |
(-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) |
(-.f64 C A) |
C |
A |
(hypot.f64 (-.f64 C A) B) |
(sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B 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))))) #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))) (/.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 -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 #s(literal -2 binary64) A) B))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 (neg.f64 A) A) B))) (/.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))))) (/.f64 (*.f64 #s(literal -2 binary64) A) B))) (PI.f64)) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 (neg.f64 A) A) B))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal -2 binary64) A) B))) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 (neg.f64 A) A) B))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal -2 binary64) A) B)) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 (neg.f64 A) A) B)) |
(/.f64 (*.f64 #s(literal -2 binary64) A) B) |
(/.f64 (-.f64 (neg.f64 A) A) B) |
(*.f64 #s(literal -2 binary64) A) |
(-.f64 (neg.f64 A) A) |
#s(literal -2 binary64) |
A |
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))))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64)))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 B #s(literal -1/2 binary64)) 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))))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64)))) (PI.f64)) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64)))) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) |
(fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64)) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) C) |
B |
(/.f64 #s(literal -1/2 binary64) C) |
#s(literal -1/2 binary64) |
C |
#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))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64)))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 B (fma.f64 #s(literal -1/2 binary64) (/.f64 A C) #s(literal -1/2 binary64))) 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))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64)))) (PI.f64)) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 B (fma.f64 #s(literal -1/2 binary64) (/.f64 A C) #s(literal -1/2 binary64))) C))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64)))) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 B (fma.f64 #s(literal -1/2 binary64) (/.f64 A C) #s(literal -1/2 binary64))) C))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 B (fma.f64 #s(literal -1/2 binary64) (/.f64 A C) #s(literal -1/2 binary64))) C)) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64)) |
(/.f64 (*.f64 B (fma.f64 #s(literal -1/2 binary64) (/.f64 A C) #s(literal -1/2 binary64))) C) |
#s(literal -1/2 binary64) |
(fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) |
(/.f64 (fma.f64 B (/.f64 A C) B) C) |
B |
(/.f64 A (*.f64 C C)) |
A |
(*.f64 C C) |
C |
(/.f64 B C) |
#s(literal 0 binary64) |
(PI.f64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.12074103754381084 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64)))) (PI.f64))) | |
| accuracy | 6.153156816211775 | (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) | |
| accuracy | 10.073535526881015 | (/.f64 A (*.f64 C C)) | |
| accuracy | 50.244593522408756 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64))) | |
| accuracy | 0.078125 | (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64)))) (PI.f64)) | |
| accuracy | 0.12074103754381084 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64)))) (PI.f64))) | |
| accuracy | 0.21484375 | (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64)) | |
| accuracy | 50.50136762238238 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64))) | |
| accuracy | 0 | (PI.f64) | |
| accuracy | 0.078125 | (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal -2 binary64) A) B))) (PI.f64)) | |
| accuracy | 0.12074103754381084 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal -2 binary64) A) B))) (PI.f64))) | |
| accuracy | 52.36387168997344 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal -2 binary64) A) B)) | |
| accuracy | 0 | (PI.f64) | |
| accuracy | 0.078125 | (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64)) | |
| accuracy | 0.12074103754381084 | (*.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 | 51.173912021232255 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64)) | |
| accuracy | 0.078125 | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64)) | |
| accuracy | 0.12074103754381084 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64))) | |
| accuracy | 5.692980383840106 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) | |
| accuracy | 8.774964736190558 | (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)) |
| 88.0ms | 58× | 2 | valid |
| 52.0ms | 170× | 0 | valid |
| 18.0ms | 28× | 1 | valid |
Compiled 531 to 42 computations (92.1% saved)
adjust: 30.0ms (24.2% of total)ival-div: 29.0ms (23.4% of total)ival-mult: 21.0ms (16.9% of total)ival-add: 10.0ms (8.1% of total)ival-hypot: 9.0ms (7.3% of total)ival-sub: 8.0ms (6.4% of total)ival-pow2: 6.0ms (4.8% of total)ival-atan: 6.0ms (4.8% of total)ival-sqrt: 3.0ms (2.4% of total)ival-pi: 1.0ms (0.8% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) (patch (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64)) (patch (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (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 #s(literal -2 binary64) A) 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 #s(literal -2 binary64) A) 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 #s(literal -2 binary64) A) B))) (PI.f64)) (patch (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal -2 binary64) A) 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 #s(literal -2 binary64) A) B))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal -2 binary64) A) B))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal -2 binary64) A) B)) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal -2 binary64) A) B)) #<representation binary64>) () ()) |
#s(alt (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64)) (patch (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #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))))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #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))))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #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))))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64)))) (PI.f64)) (patch (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #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))))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64)))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) (patch (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #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))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #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))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #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))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64)))) (PI.f64)) (patch (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64)))) (PI.f64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)) (patch (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)) #<representation binary64>) () ()) |
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 A (*.f64 C C)) (patch (/.f64 A (*.f64 C C)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (sqrt (+ (pow A 2) (pow B 2))) (taylor 0 C) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt (+ (pow A 2) (pow B 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) (taylor 0 C) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (+ (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))))))))) (taylor 0 C) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (+ (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)))))))))) (taylor 0 C) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt C (taylor inf C) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (* C (+ 1 (* -1 (/ A C)))) (taylor inf C) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (* C (+ 1 (+ (* -1 (/ A C)) (* 1/2 (/ (pow B 2) (pow C 2)))))) (taylor inf C) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) 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 (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (* -1 C) (taylor -inf C) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* C (+ 1 (* -1 (/ A C))))) (taylor -inf C) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* C (+ 1 (* -1 (/ (+ A (* -1/2 (/ (pow B 2) C))) C))))) (taylor -inf C) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* C (+ 1 (* -1 (/ (+ A (* -1 (/ (+ (* 1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C))) C))))) (taylor -inf C) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (+ (pow B 2) (pow C 2))) (taylor 0 A) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) (taylor 0 A) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (+ (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))))))))) (taylor 0 A) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (+ (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)))))))))) (taylor 0 A) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt A (taylor inf A) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (* A (+ 1 (* -1 (/ C A)))) (taylor inf A) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (* A (+ 1 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2)))))) (taylor inf A) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (* A (+ 1 (+ (* -1 (/ C A)) (+ (* 1/2 (/ (* (pow B 2) C) (pow A 3))) (* 1/2 (/ (pow B 2) (pow A 2))))))) (taylor inf A) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (* -1 A) (taylor -inf A) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* A (+ 1 (* -1 (/ C A))))) (taylor -inf A) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* A (+ 1 (* -1 (/ (+ C (* -1/2 (/ (pow B 2) A))) A))))) (taylor -inf A) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<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 (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (- C A) (taylor 0 B) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (- (+ C (* 1/2 (/ (pow B 2) (- C A)))) A) (taylor 0 B) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (- (+ C (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A)))))) A) (taylor 0 B) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 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) (taylor 0 B) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt B (taylor inf B) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (* B (+ 1 (* 1/2 (/ (pow (- C A) 2) (pow B 2))))) (taylor inf B) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))) (taylor inf B) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (* 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))))))) (taylor inf B) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (* -1 B) (taylor -inf B) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* B (+ 1 (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))) (taylor -inf B) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (* 1/2 (/ (pow (- C A) 2) (pow B 2))))))) (taylor -inf B) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (* -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)))))))) (taylor -inf B) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ B (- C A))) (taylor 0 B) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) (patch (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) #<representation binary64>) () ())) ()) |
#s(alt (* B (- (* 1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A))))) (taylor 0 B) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) (patch (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) #<representation binary64>) () ())) ()) |
#s(alt (* 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))))) (taylor 0 B) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) (patch (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) #<representation binary64>) () ())) ()) |
#s(alt (* 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))))) (taylor 0 B) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) (patch (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor inf B) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) (patch (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) #<representation binary64>) () ())) ()) |
#s(alt (- (/ C B) (+ 1 (/ A B))) (taylor inf B) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) (patch (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) (taylor inf B) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) (patch (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- C A) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) (taylor inf B) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) (patch (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf B) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) (patch (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (/ C B)) (/ A B)) (taylor -inf B) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) (patch (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- C A) 2) B))) B))) (taylor -inf B) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) (patch (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- C A) 4) (pow B 2))) (* 1/2 (pow (- C A) 2))) B))) B))) (taylor -inf B) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) (patch (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) #<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) (hypot.f64 (-.f64 C A) B))) (patch (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) 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 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) (patch (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) 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 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) (patch (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) 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 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) (patch (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ A (* -1 A)) B)) (taylor inf C) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) (patch (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) (taylor inf C) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) (patch (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) 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 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) (patch (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) 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 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) (patch (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) #<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))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 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))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ C B)) (taylor -inf C) (#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) (taylor -inf C) (#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) (taylor -inf C) (#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) (taylor -inf C) (#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B) (taylor 0 A) (#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -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))))) (taylor 0 A) (#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* 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))))) (taylor 0 A) (#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* 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))))) (taylor 0 A) (#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ A B)) (taylor inf A) (#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) (taylor inf A) (#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) (taylor inf A) (#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) (taylor inf A) (#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64))) #<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))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64))) #<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))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 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 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 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 (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ A (pow C 2)) (taylor 0 A) (#s(alt (/.f64 A (*.f64 C C)) (patch (/.f64 A (*.f64 C C)) #<representation binary64>) () ())) ()) |
#s(alt (/ A (pow C 2)) (taylor 0 A) (#s(alt (/.f64 A (*.f64 C C)) (patch (/.f64 A (*.f64 C C)) #<representation binary64>) () ())) ()) |
#s(alt (/ A (pow C 2)) (taylor 0 A) (#s(alt (/.f64 A (*.f64 C C)) (patch (/.f64 A (*.f64 C C)) #<representation binary64>) () ())) ()) |
#s(alt (/ A (pow C 2)) (taylor 0 A) (#s(alt (/.f64 A (*.f64 C C)) (patch (/.f64 A (*.f64 C C)) #<representation binary64>) () ())) ()) |
#s(alt (/ A (pow C 2)) (taylor inf A) (#s(alt (/.f64 A (*.f64 C C)) (patch (/.f64 A (*.f64 C C)) #<representation binary64>) () ())) ()) |
#s(alt (/ A (pow C 2)) (taylor inf A) (#s(alt (/.f64 A (*.f64 C C)) (patch (/.f64 A (*.f64 C C)) #<representation binary64>) () ())) ()) |
#s(alt (/ A (pow C 2)) (taylor inf A) (#s(alt (/.f64 A (*.f64 C C)) (patch (/.f64 A (*.f64 C C)) #<representation binary64>) () ())) ()) |
#s(alt (/ A (pow C 2)) (taylor inf A) (#s(alt (/.f64 A (*.f64 C C)) (patch (/.f64 A (*.f64 C C)) #<representation binary64>) () ())) ()) |
#s(alt (/ A (pow C 2)) (taylor -inf A) (#s(alt (/.f64 A (*.f64 C C)) (patch (/.f64 A (*.f64 C C)) #<representation binary64>) () ())) ()) |
#s(alt (/ A (pow C 2)) (taylor -inf A) (#s(alt (/.f64 A (*.f64 C C)) (patch (/.f64 A (*.f64 C C)) #<representation binary64>) () ())) ()) |
#s(alt (/ A (pow C 2)) (taylor -inf A) (#s(alt (/.f64 A (*.f64 C C)) (patch (/.f64 A (*.f64 C C)) #<representation binary64>) () ())) ()) |
#s(alt (/ A (pow C 2)) (taylor -inf A) (#s(alt (/.f64 A (*.f64 C C)) (patch (/.f64 A (*.f64 C C)) #<representation binary64>) () ())) ()) |
#s(alt (/ A (pow C 2)) (taylor 0 C) (#s(alt (/.f64 A (*.f64 C C)) (patch (/.f64 A (*.f64 C C)) #<representation binary64>) () ())) ()) |
#s(alt (/ A (pow C 2)) (taylor 0 C) (#s(alt (/.f64 A (*.f64 C C)) (patch (/.f64 A (*.f64 C C)) #<representation binary64>) () ())) ()) |
#s(alt (/ A (pow C 2)) (taylor 0 C) (#s(alt (/.f64 A (*.f64 C C)) (patch (/.f64 A (*.f64 C C)) #<representation binary64>) () ())) ()) |
#s(alt (/ A (pow C 2)) (taylor 0 C) (#s(alt (/.f64 A (*.f64 C C)) (patch (/.f64 A (*.f64 C C)) #<representation binary64>) () ())) ()) |
#s(alt (/ A (pow C 2)) (taylor inf C) (#s(alt (/.f64 A (*.f64 C C)) (patch (/.f64 A (*.f64 C C)) #<representation binary64>) () ())) ()) |
#s(alt (/ A (pow C 2)) (taylor inf C) (#s(alt (/.f64 A (*.f64 C C)) (patch (/.f64 A (*.f64 C C)) #<representation binary64>) () ())) ()) |
#s(alt (/ A (pow C 2)) (taylor inf C) (#s(alt (/.f64 A (*.f64 C C)) (patch (/.f64 A (*.f64 C C)) #<representation binary64>) () ())) ()) |
#s(alt (/ A (pow C 2)) (taylor inf C) (#s(alt (/.f64 A (*.f64 C C)) (patch (/.f64 A (*.f64 C C)) #<representation binary64>) () ())) ()) |
#s(alt (/ A (pow C 2)) (taylor -inf C) (#s(alt (/.f64 A (*.f64 C C)) (patch (/.f64 A (*.f64 C C)) #<representation binary64>) () ())) ()) |
#s(alt (/ A (pow C 2)) (taylor -inf C) (#s(alt (/.f64 A (*.f64 C C)) (patch (/.f64 A (*.f64 C C)) #<representation binary64>) () ())) ()) |
#s(alt (/ A (pow C 2)) (taylor -inf C) (#s(alt (/.f64 A (*.f64 C C)) (patch (/.f64 A (*.f64 C C)) #<representation binary64>) () ())) ()) |
#s(alt (/ A (pow C 2)) (taylor -inf C) (#s(alt (/.f64 A (*.f64 C C)) (patch (/.f64 A (*.f64 C C)) #<representation binary64>) () ())) ()) |
210 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | B | @ | 0 | (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) (PI))) |
| 3.0ms | C | @ | 0 | (sqrt (+ (* (- C A) (- C A)) (* B B))) |
| 2.0ms | A | @ | inf | (+ (* -1/2 (+ (* B (/ A (* C C))) (/ B C))) 0) |
| 1.0ms | C | @ | inf | (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) (PI))) |
| 1.0ms | B | @ | 0 | (+ (* B (/ A (* C C))) (/ B C)) |
| 1× | egg-herbie |
| 8 726× | lower-fma.f64 |
| 8 726× | lower-fma.f32 |
| 5 626× | lower-*.f64 |
| 5 626× | lower-*.f32 |
| 3 982× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 704 | 16880 |
| 1 | 2152 | 16443 |
| 2 | 6614 | 16348 |
| 0 | 8310 | 13284 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(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)))))))))) |
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 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))))) |
(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)))))))))) |
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))))))) |
(* -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))))) |
(- 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) |
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) |
(* -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)))))))) |
(* -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))))) |
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-1 |
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(- (+ (* -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 |
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(+ 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 (/ (+ 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 (* -1 A)) B)) |
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(/ (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)) |
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(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
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(/ (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 (* -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)) |
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(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
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(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
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(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)) |
(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)) |
(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)) |
(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)) |
(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 (* -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 (/ (- 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)) |
(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)) |
(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)) |
(/ (- (* 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 |
(- (/ 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 |
(- (+ 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 (/ (+ 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 (* -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))))))) |
(* 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 (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)) |
(* 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))))) |
(* 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)) |
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(* 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))) |
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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))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 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))) |
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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)) (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)) (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)) |
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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 (* -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)) |
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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)) (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 (* -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 (+ 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)) |
(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)) |
(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)) |
(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)) |
(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)) |
(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 (/ (- 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)) |
(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)) |
(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)) |
(/ (- (* 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 |
(- (/ 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 |
(- (+ 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 (/ (+ 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 (* -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))))))) |
(* 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 (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)) |
(* 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))))) |
(* 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 C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
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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))) |
(* 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))) |
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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))) |
(* 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))) |
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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))) |
(* 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))) |
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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)) |
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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)) (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 (* -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 (+ 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)) |
(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)) |
(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)) |
(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)) |
(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)) |
(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 (/ (- 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)) |
(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)) |
(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)) |
(* B (+ (/ 1 C) (/ A (pow C 2)))) |
(* B (+ (/ 1 C) (/ A (pow C 2)))) |
(* B (+ (/ 1 C) (/ A (pow C 2)))) |
(* B (+ (/ 1 C) (/ A (pow C 2)))) |
(* B (+ (/ 1 C) (/ A (pow C 2)))) |
(* B (+ (/ 1 C) (/ A (pow C 2)))) |
(* B (+ (/ 1 C) (/ A (pow C 2)))) |
(* B (+ (/ 1 C) (/ A (pow C 2)))) |
(* -1 (* B (- (* -1 (/ A (pow C 2))) (/ 1 C)))) |
(* -1 (* B (- (* -1 (/ A (pow C 2))) (/ 1 C)))) |
(* -1 (* B (- (* -1 (/ A (pow C 2))) (/ 1 C)))) |
(* -1 (* B (- (* -1 (/ A (pow C 2))) (/ 1 C)))) |
(/ B C) |
(+ (/ B C) (/ (* A B) (pow C 2))) |
(+ (/ B C) (/ (* A B) (pow C 2))) |
(+ (/ B C) (/ (* A B) (pow C 2))) |
(/ (* A B) (pow C 2)) |
(* A (+ (/ B (* A C)) (/ B (pow C 2)))) |
(* A (+ (/ B (* A C)) (/ B (pow C 2)))) |
(* A (+ (/ B (* A C)) (/ B (pow C 2)))) |
(/ (* A B) (pow C 2)) |
(* -1 (* A (+ (* -1 (/ B (* A C))) (* -1 (/ B (pow C 2)))))) |
(* -1 (* A (+ (* -1 (/ B (* A C))) (* -1 (/ B (pow C 2)))))) |
(* -1 (* A (+ (* -1 (/ B (* A C))) (* -1 (/ B (pow C 2)))))) |
(/ (* A B) (pow C 2)) |
(/ (+ (* A B) (* B C)) (pow C 2)) |
(/ (+ (* A B) (* B C)) (pow C 2)) |
(/ (+ (* A B) (* B C)) (pow C 2)) |
(/ B C) |
(/ (+ B (/ (* A B) C)) C) |
(/ (+ B (/ (* A B) C)) C) |
(/ (+ B (/ (* A B) C)) C) |
(/ B C) |
(* -1 (/ (+ (* -1 B) (* -1 (/ (* A B) C))) C)) |
(* -1 (/ (+ (* -1 B) (* -1 (/ (* A B) C))) C)) |
(* -1 (/ (+ (* -1 B) (* -1 (/ (* A B) C))) C)) |
(* -1/2 (* B (+ (/ 1 C) (/ A (pow C 2))))) |
(* -1/2 (* B (+ (/ 1 C) (/ A (pow C 2))))) |
(* -1/2 (* B (+ (/ 1 C) (/ A (pow C 2))))) |
(* -1/2 (* B (+ (/ 1 C) (/ A (pow C 2))))) |
(* -1/2 (* B (+ (/ 1 C) (/ A (pow C 2))))) |
(* -1/2 (* B (+ (/ 1 C) (/ A (pow C 2))))) |
(* -1/2 (* B (+ (/ 1 C) (/ A (pow C 2))))) |
(* -1/2 (* B (+ (/ 1 C) (/ A (pow C 2))))) |
(* 1/2 (* B (- (* -1 (/ A (pow C 2))) (/ 1 C)))) |
(* 1/2 (* B (- (* -1 (/ A (pow C 2))) (/ 1 C)))) |
(* 1/2 (* B (- (* -1 (/ A (pow C 2))) (/ 1 C)))) |
(* 1/2 (* B (- (* -1 (/ A (pow C 2))) (/ 1 C)))) |
(* -1/2 (/ B C)) |
(+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2)))) |
(+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2)))) |
(+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2)))) |
(* -1/2 (/ (* A B) (pow C 2))) |
(* A (+ (* -1/2 (/ B (* A C))) (* -1/2 (/ B (pow C 2))))) |
(* A (+ (* -1/2 (/ B (* A C))) (* -1/2 (/ B (pow C 2))))) |
(* A (+ (* -1/2 (/ B (* A C))) (* -1/2 (/ B (pow C 2))))) |
(* -1/2 (/ (* A B) (pow C 2))) |
(* -1 (* A (+ (* 1/2 (/ B (* A C))) (* 1/2 (/ B (pow C 2)))))) |
(* -1 (* A (+ (* 1/2 (/ B (* A C))) (* 1/2 (/ B (pow C 2)))))) |
(* -1 (* A (+ (* 1/2 (/ B (* A C))) (* 1/2 (/ B (pow C 2)))))) |
(* -1/2 (/ (* A B) (pow C 2))) |
(/ (+ (* -1/2 (* A B)) (* -1/2 (* B C))) (pow C 2)) |
(/ (+ (* -1/2 (* A B)) (* -1/2 (* B C))) (pow C 2)) |
(/ (+ (* -1/2 (* A B)) (* -1/2 (* B C))) (pow C 2)) |
(* -1/2 (/ B C)) |
(/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C) |
(/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C) |
(/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C) |
(* -1/2 (/ B C)) |
(* -1 (/ (+ (* 1/2 B) (* 1/2 (/ (* A B) C))) C)) |
(* -1 (/ (+ (* 1/2 B) (* 1/2 (/ (* A B) C))) C)) |
(* -1 (/ (+ (* 1/2 B) (* 1/2 (/ (* A B) C))) C)) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
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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))) |
(* 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))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
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(* 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))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 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 (+ 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)) (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)) |
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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)) (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 (* -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 (/ (- 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)) (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 (* -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)) |
(* -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 (* -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)))))) |
(* 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))) |
(- 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)))) |
(* -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))))))) |
(* 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 (/ (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 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))))) |
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))) |
(/ (- (* 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 |
(- (/ 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 |
(- (+ 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 (/ (+ 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 (* -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))))))) |
(* 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 (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)) |
(* 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))))) |
(* 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 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 |
(- (/ 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 |
(- (+ 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 (/ (+ 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 (* -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))))))) |
(* 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 (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)) |
(* 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))))) |
(* 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)) |
(/ A (pow C 2)) |
(/ A (pow C 2)) |
(/ A (pow C 2)) |
(/ A (pow C 2)) |
(/ A (pow C 2)) |
(/ A (pow C 2)) |
(/ A (pow C 2)) |
(/ A (pow C 2)) |
(/ A (pow C 2)) |
(/ A (pow C 2)) |
(/ A (pow C 2)) |
(/ A (pow C 2)) |
(/ A (pow C 2)) |
(/ A (pow C 2)) |
(/ A (pow C 2)) |
(/ A (pow C 2)) |
(/ A (pow C 2)) |
(/ A (pow C 2)) |
(/ A (pow C 2)) |
(/ A (pow C 2)) |
(/ A (pow C 2)) |
(/ A (pow C 2)) |
(/ A (pow C 2)) |
(/ A (pow C 2)) |
| Outputs |
|---|
(sqrt (+ (pow A 2) (pow B 2))) |
(sqrt.f64 (fma.f64 A A (*.f64 B B))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (*.f64 (neg.f64 C) A) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) |
(+ (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 C (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) C) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (fma.f64 A A (*.f64 B B)))) (neg.f64 A))) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) |
(+ (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 C (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) C) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (fma.f64 A A (*.f64 B B)))) (neg.f64 A)) (*.f64 (*.f64 (*.f64 (*.f64 A C) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (fma.f64 A A (*.f64 B B))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 A A (*.f64 B B)) (*.f64 (fma.f64 A A (*.f64 B B)) (fma.f64 A A (*.f64 B B))))))) (*.f64 #s(literal 1/2 binary64) C))) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) |
C |
(* C (+ 1 (* -1 (/ A C)))) |
(fma.f64 C (/.f64 A (neg.f64 C)) C) |
(* C (+ 1 (+ (* -1 (/ A C)) (* 1/2 (/ (pow B 2) (pow C 2)))))) |
(fma.f64 C (-.f64 (/.f64 (*.f64 B (*.f64 B #s(literal 1/2 binary64))) (*.f64 C C)) (/.f64 A C)) C) |
(* C (+ 1 (+ (* -1 (/ A C)) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 3))) (* 1/2 (/ (pow B 2) (pow C 2))))))) |
(fma.f64 C (fma.f64 #s(literal 1/2 binary64) (fma.f64 B (/.f64 B (*.f64 C C)) (/.f64 (*.f64 A (*.f64 B B)) (*.f64 C (*.f64 C C)))) (/.f64 A (neg.f64 C))) C) |
(* -1 C) |
(neg.f64 C) |
(* -1 (* C (+ 1 (* -1 (/ A C))))) |
(+.f64 (neg.f64 C) (*.f64 C (/.f64 A C))) |
(* -1 (* C (+ 1 (* -1 (/ (+ A (* -1/2 (/ (pow B 2) C))) C))))) |
(neg.f64 (fma.f64 (neg.f64 C) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) C) A) C) C)) |
(* -1 (* C (+ 1 (* -1 (/ (+ A (* -1 (/ (+ (* 1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C))) C))))) |
(neg.f64 (fma.f64 C (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 A (/.f64 (*.f64 B B) C) (*.f64 B B)) C) (neg.f64 A)) C) C)) |
(sqrt (+ (pow B 2) (pow C 2))) |
(sqrt.f64 (fma.f64 B B (*.f64 C C))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) (*.f64 (neg.f64 C) A) (sqrt.f64 (fma.f64 B B (*.f64 C C)))) |
(+ (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))))))))) |
(fma.f64 A (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) A) (-.f64 #s(literal 1 binary64) (*.f64 C (/.f64 C (fma.f64 B B (*.f64 C C))))) (neg.f64 C))) (sqrt.f64 (fma.f64 B B (*.f64 C C)))) |
(+ (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)))))))))) |
(fma.f64 A (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) A) (-.f64 #s(literal 1 binary64) (*.f64 C (/.f64 C (fma.f64 B B (*.f64 C C))))) (neg.f64 C)) (*.f64 (*.f64 A (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 A C)) (-.f64 #s(literal 1 binary64) (*.f64 C (/.f64 C (fma.f64 B B (*.f64 C C))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 B B (*.f64 C C)) (*.f64 (fma.f64 B B (*.f64 C C)) (fma.f64 B B (*.f64 C C)))))))) (sqrt.f64 (fma.f64 B B (*.f64 C C)))) |
A |
(* A (+ 1 (* -1 (/ C A)))) |
(fma.f64 (/.f64 C A) (neg.f64 A) A) |
(* A (+ 1 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2)))))) |
(fma.f64 A (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/2 binary64) (*.f64 A A)) (/.f64 C (neg.f64 A))) A) |
(* A (+ 1 (+ (* -1 (/ C A)) (+ (* 1/2 (/ (* (pow B 2) C) (pow A 3))) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(fma.f64 A (-.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 B (/.f64 B (*.f64 A A)) (/.f64 (*.f64 (*.f64 B B) C) (*.f64 A (*.f64 A A))))) (/.f64 C A)) A) |
(* -1 A) |
(neg.f64 A) |
(* -1 (* A (+ 1 (* -1 (/ C A))))) |
(+.f64 (neg.f64 A) (*.f64 A (/.f64 C A))) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1/2 (/ (pow B 2) A))) A))))) |
(neg.f64 (fma.f64 A (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) A) C) (neg.f64 A)) A)) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1 (/ (+ (* 1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A))) A))))) |
(neg.f64 (fma.f64 A (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 B B (/.f64 (*.f64 (*.f64 B B) C) A)) A) (neg.f64 C)) A) A)) |
(- C A) |
(-.f64 C A) |
(- (+ C (* 1/2 (/ (pow B 2) (- C A)))) A) |
(-.f64 (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/2 binary64) (-.f64 C A)) C) A) |
(- (+ C (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A)))))) A) |
(fma.f64 (*.f64 B B) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 B B) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A)))) (/.f64 #s(literal 1/2 binary64) (-.f64 C A))) (-.f64 C 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) |
(fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 B B) (pow.f64 (-.f64 C A) #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))))) (/.f64 #s(literal 1/2 binary64) (-.f64 C A))) (-.f64 C A)) |
B |
(* B (+ 1 (* 1/2 (/ (pow (- C A) 2) (pow B 2))))) |
(fma.f64 B (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 B B)) B) |
(* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))) |
(fma.f64 B (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (-.f64 C A) #s(literal 4 binary64)) (*.f64 (*.f64 B B) (*.f64 B B))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 B B))) B) |
(* 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))))))) |
(fma.f64 B (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 B B)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (-.f64 C A) #s(literal 4 binary64)) (*.f64 (*.f64 B B) (*.f64 B B))) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (-.f64 C A) #s(literal 6 binary64))) (pow.f64 B #s(literal 6 binary64))))) B) |
(* -1 B) |
(neg.f64 B) |
(* -1 (* B (+ 1 (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 B B)) #s(literal 1 binary64)) (neg.f64 B)) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (* 1/2 (/ (pow (- C A) 2) (pow B 2))))))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
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(* -1 B) |
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B |
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(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 C A)) B) |
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-1 |
#s(literal -1 binary64) |
(- (/ C B) (+ 1 (/ A B))) |
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(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
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(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
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1 |
#s(literal 1 binary64) |
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(* -1 (/ (+ A (* -1 A)) B)) |
#s(literal 0 binary64) |
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(fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64)) |
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(* 2 (/ C B)) |
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(* -2 (/ A B)) |
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(*.f64 A (+.f64 (/.f64 C (*.f64 A B)) (+.f64 (/.f64 C (*.f64 A B)) (/.f64 #s(literal -2 binary64) B)))) |
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(* 1/2 (/ B A)) |
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(/ (- (* 2 C) (* 2 A)) B) |
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(/ (- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) B) |
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-1 |
#s(literal -1 binary64) |
(- (/ C B) (+ 1 (/ A B))) |
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(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 B B)) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 B B)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 A C) #s(literal 4 binary64)) (*.f64 (*.f64 B B) (*.f64 B B))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ C B)) (/ A B)) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- A C) 2) B))) B))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 C A) (/.f64 (-.f64 C A) B)) (-.f64 A C)) B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) B))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 C A) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 C A) (-.f64 C A)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 A C) #s(literal 4 binary64))) (*.f64 B B))) B)) B)) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (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))))))))) |
(-.f64 (*.f64 C (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (/.f64 A B) (/.f64 #s(literal 1 binary64) B))) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) 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))))))))) |
(-.f64 (*.f64 C (fma.f64 A (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) B) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (fma.f64 A A (*.f64 B B)))) (/.f64 C B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) B)))) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) 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 C (fma.f64 (*.f64 C #s(literal -1/2 binary64)) (fma.f64 A (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (fma.f64 A A (*.f64 B B)))) (/.f64 C B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 A A (*.f64 B B)) (*.f64 (fma.f64 A A (*.f64 B B)) (fma.f64 A A (*.f64 B B))))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (fma.f64 A A (*.f64 B B)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) B))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (/.f64 A B) (/.f64 #s(literal 1 binary64) B))) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B))) |
(* -1 (/ (+ A (* -1 A)) B)) |
#s(literal 0 binary64) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 A (/.f64 B (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64)) |
(+ (* -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))))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 A (/.f64 B (*.f64 C C)) (/.f64 B C)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/4 binary64)) (*.f64 A (*.f64 A (*.f64 B B)))) (*.f64 B (*.f64 C (*.f64 C C)))) #s(literal 0 binary64))) |
(* 2 (/ C B)) |
(/.f64 (*.f64 #s(literal 2 binary64) C) B) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(neg.f64 (*.f64 C (fma.f64 A (/.f64 #s(literal 2 binary64) (*.f64 B C)) (/.f64 #s(literal -2 binary64) B)))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(*.f64 C (+.f64 (/.f64 (fma.f64 A (/.f64 #s(literal -2 binary64) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) C)) C) (/.f64 #s(literal 2 binary64) B))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(*.f64 C (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 A (/.f64 B C) B) C) (/.f64 (*.f64 A #s(literal -2 binary64)) B)) C) (/.f64 #s(literal 2 binary64) B))) |
(/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B) |
(/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) 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))))) |
(fma.f64 A (/.f64 (fma.f64 C (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) #s(literal -1 binary64)) B) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) |
(- (+ (* 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))))) |
(fma.f64 A (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 C (/.f64 C (fma.f64 B B (*.f64 C C))))) (/.f64 A B))) (/.f64 (fma.f64 C (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) #s(literal -1 binary64)) B)) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) |
(- (+ (* 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))))) |
(fma.f64 A (fma.f64 (*.f64 A #s(literal -1/2 binary64)) (fma.f64 A (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 C (/.f64 C (fma.f64 B B (*.f64 C C))))) (/.f64 C B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 B B (*.f64 C C)) (*.f64 (fma.f64 B B (*.f64 C C)) (fma.f64 B B (*.f64 C C))))))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) (-.f64 #s(literal 1 binary64) (*.f64 C (/.f64 C (fma.f64 B B (*.f64 C C)))))) B)) (/.f64 (fma.f64 C (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) #s(literal -1 binary64)) B)) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) |
(* -2 (/ A B)) |
(/.f64 (*.f64 A #s(literal -2 binary64)) B) |
(* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(*.f64 A (+.f64 (/.f64 C (*.f64 A B)) (+.f64 (/.f64 C (*.f64 A B)) (/.f64 #s(literal -2 binary64) B)))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(*.f64 A (+.f64 (/.f64 C (*.f64 A B)) (fma.f64 B (/.f64 #s(literal -1/2 binary64) (*.f64 A A)) (+.f64 (/.f64 C (*.f64 A B)) (/.f64 #s(literal -2 binary64) 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))))) |
(*.f64 A (+.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 B (*.f64 A A)) (/.f64 (*.f64 B C) (*.f64 A (*.f64 A A)))) (/.f64 C (*.f64 A B))) (+.f64 (/.f64 C (*.f64 A B)) (/.f64 #s(literal -2 binary64) B)))) |
(* 1/2 (/ B A)) |
(/.f64 (*.f64 B #s(literal 1/2 binary64)) A) |
(* -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 (-.f64 (*.f64 B #s(literal -1/2 binary64)) (/.f64 (fma.f64 B (*.f64 C #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 B B) (*.f64 B B)) (*.f64 #s(literal 1/2 binary64) (*.f64 C (*.f64 (*.f64 B B) C)))) (*.f64 A 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 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 B #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 B (*.f64 C #s(literal 1/2 binary64))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (neg.f64 C) (-.f64 (*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/4 binary64)) (*.f64 C (*.f64 (*.f64 B B) C))) (*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) (*.f64 C #s(literal -1/2 binary64)))) (*.f64 A B)) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 C (*.f64 (*.f64 B B) C))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 B B) (*.f64 B B)))) B)) A)) (neg.f64 A))) (neg.f64 A)) |
(/ A (pow C 2)) |
(/.f64 A (*.f64 C C)) |
(/ A (pow C 2)) |
(/.f64 A (*.f64 C C)) |
(/ A (pow C 2)) |
(/.f64 A (*.f64 C C)) |
(/ A (pow C 2)) |
(/.f64 A (*.f64 C C)) |
(/ A (pow C 2)) |
(/.f64 A (*.f64 C C)) |
(/ A (pow C 2)) |
(/.f64 A (*.f64 C C)) |
(/ A (pow C 2)) |
(/.f64 A (*.f64 C C)) |
(/ A (pow C 2)) |
(/.f64 A (*.f64 C C)) |
(/ A (pow C 2)) |
(/.f64 A (*.f64 C C)) |
(/ A (pow C 2)) |
(/.f64 A (*.f64 C C)) |
(/ A (pow C 2)) |
(/.f64 A (*.f64 C C)) |
(/ A (pow C 2)) |
(/.f64 A (*.f64 C C)) |
(/ A (pow C 2)) |
(/.f64 A (*.f64 C C)) |
(/ A (pow C 2)) |
(/.f64 A (*.f64 C C)) |
(/ A (pow C 2)) |
(/.f64 A (*.f64 C C)) |
(/ A (pow C 2)) |
(/.f64 A (*.f64 C C)) |
(/ A (pow C 2)) |
(/.f64 A (*.f64 C C)) |
(/ A (pow C 2)) |
(/.f64 A (*.f64 C C)) |
(/ A (pow C 2)) |
(/.f64 A (*.f64 C C)) |
(/ A (pow C 2)) |
(/.f64 A (*.f64 C C)) |
(/ A (pow C 2)) |
(/.f64 A (*.f64 C C)) |
(/ A (pow C 2)) |
(/.f64 A (*.f64 C C)) |
(/ A (pow C 2)) |
(/.f64 A (*.f64 C C)) |
(/ A (pow C 2)) |
(/.f64 A (*.f64 C C)) |
| 5 694× | lower-*.f32 |
| 5 678× | lower-*.f64 |
| 3 436× | lower-/.f32 |
| 3 416× | lower-/.f64 |
| 3 370× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 503 |
| 0 | 89 | 494 |
| 1 | 332 | 458 |
| 2 | 2656 | 458 |
| 0 | 8909 | 383 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(hypot.f64 (-.f64 C A) B) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64))) |
(/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) 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))))) #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 #s(literal -2 binary64) A) B))) (PI.f64))) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal -2 binary64) A) B))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal -2 binary64) A) B))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal -2 binary64) A) B)) |
(fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #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))))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64)))) (PI.f64))) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64)))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64)))) |
(fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #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))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64)))) (PI.f64))) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64)))) (PI.f64)) |
(-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)) |
(PI.f64) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64))) |
(/.f64 A (*.f64 C C)) |
| Outputs |
|---|
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) |
(hypot.f64 (-.f64 C A) B) |
(hypot.f64 (-.f64 C A) (neg.f64 B)) |
(hypot.f64 B (-.f64 C A)) |
(hypot.f64 B (exp.f64 (log.f64 (-.f64 C A)))) |
(hypot.f64 (neg.f64 B) (-.f64 C A)) |
(hypot.f64 (neg.f64 B) (exp.f64 (log.f64 (-.f64 C A)))) |
(hypot.f64 (exp.f64 (log.f64 (-.f64 C A))) B) |
(hypot.f64 (exp.f64 (log.f64 (-.f64 C A))) (neg.f64 B)) |
(fabs.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) |
(sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (-.f64 C A) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 B B) (-.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))))) (fma.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A)))) (*.f64 (*.f64 B (*.f64 B B)) (*.f64 B (*.f64 B B))))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (*.f64 (+.f64 (-.f64 C A) B) (-.f64 (-.f64 C A) B)) (*.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)) (*.f64 (+.f64 (-.f64 C A) B) (-.f64 (-.f64 C A) B)))))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A)))) (*.f64 (*.f64 B (*.f64 B B)) (*.f64 B (*.f64 B B))))) (sqrt.f64 (fma.f64 (-.f64 C A) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 B B) (-.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))))))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A)))) (*.f64 (*.f64 B (*.f64 B B)) (*.f64 B (*.f64 B B))))) (sqrt.f64 (fma.f64 B (*.f64 B (*.f64 B B)) (-.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A)))) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (*.f64 B B))))))) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)) (*.f64 (+.f64 (-.f64 C A) B) (-.f64 (-.f64 C A) B)))) (sqrt.f64 (*.f64 (+.f64 (-.f64 C A) B) (-.f64 (-.f64 C A) B)))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A)))) (*.f64 (*.f64 B (*.f64 B B)) (*.f64 B (*.f64 B B)))))) (sqrt.f64 (neg.f64 (fma.f64 (-.f64 C A) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 B B) (-.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A)))))))) |
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(*.f64 (neg.f64 A) (/.f64 #s(literal 1 binary64) (*.f64 C (neg.f64 C)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 C C)) A) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 C C)) (pow.f64 (/.f64 #s(literal 1 binary64) A) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) C) (/.f64 A C)) |
(*.f64 (/.f64 A C) (/.f64 #s(literal 1 binary64) C)) |
Compiled 42 335 to 4 408 computations (89.6% saved)
23 alts after pruning (20 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 631 | 14 | 1 645 |
| Fresh | 5 | 6 | 11 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 638 | 23 | 1 661 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 54.5% | (/.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))) (PI.f64)) |
| 26.2% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 B (*.f64 C #s(literal -2 binary64)))))) (PI.f64)) | |
| 26.3% | (/.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 B (*.f64 C #s(literal -2 binary64)))))))) | |
| ▶ | 26.1% | (*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 B (*.f64 C #s(literal -2 binary64))))) (PI.f64)) #s(literal 180 binary64)) |
| 26.0% | (*.f64 (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 B (*.f64 C #s(literal -2 binary64))))) (cbrt.f64 (PI.f64)))) | |
| 26.2% | (*.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 B (*.f64 C #s(literal -2 binary64)))))) (/.f64 #s(literal 1 binary64) (PI.f64))) | |
| 26.2% | (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 B (*.f64 C #s(literal -2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 180 binary64))) | |
| ✓ | 77.2% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64))) |
| ▶ | 48.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))))) (PI.f64))) |
| 27.0% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) (-.f64 C A))))) (PI.f64))) | |
| 26.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64)))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))) | |
| 35.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (fma.f64 #s(literal 2 binary64) (-.f64 C A) (*.f64 #s(literal -1/2 binary64) (*.f64 B (/.f64 B (-.f64 A C))))) B))) (PI.f64))) | |
| 23.9% | (*.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 #s(literal 1/2 binary64)) A))) (PI.f64))) | |
| 21.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal 2 binary64) C) B))) (PI.f64))) | |
| ✓ | 21.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal -2 binary64) A) B))) (PI.f64))) |
| 26.3% | (*.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 C B)))) (PI.f64))) | |
| 49.7% | (*.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))) | |
| 48.9% | (*.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 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64))) | |
| 26.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (+ (* -1/2 (+ (* B (/ A (* C C))) (/ B C))) 0) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 B (+.f64 A C))) (*.f64 C C))))) (PI.f64))) | |
| 21.0% | (*.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))) | |
| ▶ | 13.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) |
| ✓ | 22.7% | (*.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))) |
| ▶ | 38.0% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C))))) (PI.f64))) |
Compiled 725 to 544 computations (25% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))))) | |
| cost-diff | 0 | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))))) (PI.f64)) | |
| cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))))) (PI.f64))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)))) | |
| cost-diff | 0 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) | |
| cost-diff | 0 | (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C))))) | |
| cost-diff | 0 | (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C))))) (PI.f64)) | |
| cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C))))) (PI.f64))) | |
| cost-diff | 0 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 B (*.f64 C #s(literal -2 binary64)))) | |
| cost-diff | 0 | (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 B (*.f64 C #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 B (*.f64 C #s(literal -2 binary64))))) (PI.f64)) | |
| cost-diff | 0 | (*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 B (*.f64 C #s(literal -2 binary64))))) (PI.f64)) #s(literal 180 binary64)) | |
| 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 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B) | |
| cost-diff | 0 | (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) | |
| cost-diff | 0 | (*.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))) | |
| cost-diff | 0 | (/.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))) (PI.f64)) |
| 5 936× | lower-fma.f32 |
| 5 934× | lower-fma.f64 |
| 1 596× | lower-*.f32 |
| 1 578× | lower-*.f64 |
| 1 332× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 609 |
| 0 | 94 | 609 |
| 1 | 151 | 577 |
| 2 | 270 | 577 |
| 3 | 608 | 566 |
| 4 | 1498 | 566 |
| 5 | 2688 | 566 |
| 6 | 4122 | 566 |
| 7 | 5634 | 566 |
| 8 | 6539 | 566 |
| 9 | 6952 | 566 |
| 10 | 7142 | 566 |
| 11 | 7150 | 566 |
| 12 | 7191 | 566 |
| 13 | 7429 | 566 |
| 14 | 7584 | 566 |
| 15 | 7745 | 566 |
| 16 | 7745 | 566 |
| 17 | 7745 | 566 |
| 18 | 7745 | 566 |
| 0 | 7745 | 445 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.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))) (PI.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))) |
#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 (-.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 |
(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 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 B (*.f64 C #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 B (*.f64 C #s(literal -2 binary64))))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 B (*.f64 C #s(literal -2 binary64))))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 B (*.f64 C #s(literal -2 binary64)))) |
(/.f64 B (*.f64 C #s(literal -2 binary64))) |
B |
(*.f64 C #s(literal -2 binary64)) |
C |
#s(literal -2 binary64) |
(PI.f64) |
#s(literal 180 binary64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C))))) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C))))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C))))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) |
(*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C))) |
B |
(/.f64 #s(literal 1/2 binary64) (-.f64 A C)) |
#s(literal 1/2 binary64) |
(-.f64 A C) |
A |
C |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))))) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))))) (PI.f64)) |
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))))) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)))) |
(/.f64 #s(literal 1 binary64) B) |
#s(literal 1 binary64) |
B |
(-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) |
(-.f64 C A) |
C |
A |
#s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)) |
(neg.f64 B) |
(PI.f64) |
| Outputs |
|---|
(/.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))) (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 180 binary64) (PI.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))) |
#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 (-.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 |
(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 (+ (* (- C A) (- C A)) (* B B))))) #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)) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) #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))) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) #s(literal 0 binary64))) |
#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 (+ (* (- C A) (- C A)) (* B B))))) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
(PI.f64) |
(*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 B (*.f64 C #s(literal -2 binary64))))) (PI.f64)) #s(literal 180 binary64)) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 C #s(literal -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 B (*.f64 C #s(literal -2 binary64))))) (PI.f64)) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 C #s(literal -2 binary64))))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 B (*.f64 C #s(literal -2 binary64))))) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 C #s(literal -2 binary64))))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 B (*.f64 C #s(literal -2 binary64)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 C #s(literal -2 binary64)))) |
(/.f64 B (*.f64 C #s(literal -2 binary64))) |
B |
(*.f64 C #s(literal -2 binary64)) |
C |
#s(literal -2 binary64) |
(PI.f64) |
#s(literal 180 binary64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C))))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 C A) #s(literal -2 binary64))))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C))))) (PI.f64)) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 C A) #s(literal -2 binary64))))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C))))) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 C A) #s(literal -2 binary64))))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 C A) #s(literal -2 binary64)))) |
(*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C))) |
(/.f64 B (*.f64 (-.f64 C A) #s(literal -2 binary64))) |
B |
(/.f64 #s(literal 1/2 binary64) (-.f64 A C)) |
#s(literal 1/2 binary64) |
(-.f64 A C) |
A |
C |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))))) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))))) (PI.f64)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) B)) (PI.f64)) |
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))))) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) B)) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)))) |
(/.f64 (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) B) |
(/.f64 #s(literal 1 binary64) B) |
#s(literal 1 binary64) |
B |
(-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) |
(-.f64 C A) |
C |
A |
#s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)) |
(neg.f64 B) |
(PI.f64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.12074103754381084 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))))) (PI.f64))) | |
| accuracy | 5.692980383840106 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)))) | |
| accuracy | 8.774964736190558 | (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) | |
| accuracy | 51.65608284264224 | #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)) | |
| accuracy | 0.078125 | (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C))))) (PI.f64)) | |
| accuracy | 0.12074103754381084 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C))))) (PI.f64))) | |
| accuracy | 0.1953125 | (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C))) | |
| accuracy | 41.192079183502635 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) | |
| accuracy | 0 | (PI.f64) | |
| accuracy | 0.078125 | (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 B (*.f64 C #s(literal -2 binary64))))) (PI.f64)) | |
| accuracy | 0.12074103754381084 | (*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 B (*.f64 C #s(literal -2 binary64))))) (PI.f64)) #s(literal 180 binary64)) | |
| accuracy | 50.50136762238238 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 B (*.f64 C #s(literal -2 binary64)))) | |
| accuracy | 0 | (PI.f64) | |
| accuracy | 0.078125 | (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64)) | |
| accuracy | 0.12074103754381084 | (*.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 | 55.76685978023477 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64)) | |
| accuracy | 0.12795977546004111 | (*.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))) | |
| accuracy | 5.595324133840088 | (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B) | |
| accuracy | 8.774964736190558 | (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) | |
| accuracy | 32.12316432813191 | (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) |
| 60.0ms | 170× | 0 | valid |
| 55.0ms | 59× | 2 | valid |
| 20.0ms | 27× | 1 | valid |
Compiled 540 to 42 computations (92.2% saved)
ival-mult: 24.0ms (24.6% of total)ival-div: 16.0ms (16.4% of total)ival-atan: 11.0ms (11.3% of total)adjust: 9.0ms (9.2% of total)ival-hypot: 9.0ms (9.2% of total)ival-sub: 7.0ms (7.2% of total)ival-neg: 7.0ms (7.2% of total)ival-pow2: 6.0ms (6.2% of total)ival-sqrt: 3.0ms (3.1% of total)ival-add: 3.0ms (3.1% of total)ival-pi: 1.0ms (1% of total)exact: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.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))) (PI.f64)) (patch (/.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))) (PI.f64)) #<representation binary64>) () ()) |
#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ()) |
#s(alt (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (patch (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 (-.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 #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 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 B (*.f64 C #s(literal -2 binary64))))) (PI.f64)) #s(literal 180 binary64)) (patch (*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 B (*.f64 C #s(literal -2 binary64))))) (PI.f64)) #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))))) (/.f64 B (*.f64 C #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 B (*.f64 C #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 B (*.f64 C #s(literal -2 binary64))))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 B (*.f64 C #s(literal -2 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 B (*.f64 C #s(literal -2 binary64)))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 B (*.f64 C #s(literal -2 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C))))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C))))) (PI.f64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C))))) (PI.f64)) (patch (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C))))) (PI.f64)) #<representation binary64>) () ()) |
#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C))))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C))))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))))) (PI.f64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))))) (PI.f64)) (patch (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))))) (PI.f64)) #<representation binary64>) () ()) |
#s(alt (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))))) (patch (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 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 (PI.f64) (patch (PI.f64) #<representation binary64>) () ()) |
#s(alt (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C))) (patch (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C))) #<representation binary64>) () ()) |
#s(alt #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)) (patch #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)) #<representation binary64>) () ()) |
#s(alt (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) (patch (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) (taylor 0 C) (#s(alt (/.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))) (PI.f64)) (patch (/.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))) (PI.f64)) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) (taylor 0 C) (#s(alt (/.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))) (PI.f64)) (patch (/.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))) (PI.f64)) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) (taylor 0 C) (#s(alt (/.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))) (PI.f64)) (patch (/.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))) (PI.f64)) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) (taylor 0 C) (#s(alt (/.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))) (PI.f64)) (patch (/.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))) (PI.f64)) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) (taylor inf C) (#s(alt (/.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))) (PI.f64)) (patch (/.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))) (PI.f64)) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) (taylor inf C) (#s(alt (/.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))) (PI.f64)) (patch (/.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))) (PI.f64)) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) (taylor inf C) (#s(alt (/.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))) (PI.f64)) (patch (/.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))) (PI.f64)) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) (taylor inf C) (#s(alt (/.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))) (PI.f64)) (patch (/.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))) (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 (*.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))) (PI.f64)) (patch (/.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))) (PI.f64)) #<representation binary64>) () ())) ()) |
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#s(alt (* 180 (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B)))) (taylor -inf C) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B)))) (taylor -inf C) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B)))) (taylor -inf C) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) (taylor 0 A) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) (taylor 0 A) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) (taylor 0 A) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) (taylor 0 A) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) (taylor inf A) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) (taylor inf A) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) (taylor inf A) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) (taylor inf A) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B))) (taylor -inf A) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B))) (taylor -inf A) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B))) (taylor -inf A) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B))) (taylor -inf A) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) (taylor 0 B) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) (taylor 0 B) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) (taylor 0 B) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) (taylor 0 B) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) (taylor inf B) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) (taylor inf B) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) (taylor inf B) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) (taylor inf B) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) (taylor -inf B) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) (taylor -inf B) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) (taylor -inf B) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) (taylor -inf B) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (taylor 0 C) (#s(alt (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (patch (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)) (taylor 0 C) (#s(alt (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (patch (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)) (taylor 0 C) (#s(alt (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (patch (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)) (taylor 0 C) (#s(alt (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (patch (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)) (taylor inf C) (#s(alt (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (patch (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)) (taylor inf C) (#s(alt (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (patch (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)) (taylor inf C) (#s(alt (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (patch (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)) (taylor inf C) (#s(alt (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (patch (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 (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (taylor -inf C) (#s(alt (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (patch (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 (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (taylor -inf C) (#s(alt (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (patch (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 (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (taylor -inf C) (#s(alt (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (patch (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 (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (taylor -inf C) (#s(alt (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (patch (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)) (taylor 0 A) (#s(alt (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (patch (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)) (taylor 0 A) (#s(alt (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (patch (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)) (taylor 0 A) (#s(alt (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (patch (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 (- (* 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 (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) (patch (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) #<representation binary64>) () ())) ()) |
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#s(alt (- (+ 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)))) (taylor 0 A) (#s(alt (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) (patch (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 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)))) (taylor 0 A) (#s(alt (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) (patch (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) #<representation binary64>) () ())) ()) |
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#s(alt (* A (- (/ C A) (+ 2 (* -1 (/ C A))))) (taylor inf A) (#s(alt (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) (patch (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) #<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)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) (taylor -inf A) (#s(alt (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) (patch (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 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)) (* -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) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) (patch (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) #<representation binary64>) () ())) ()) |
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#s(alt (- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) (taylor 0 B) (#s(alt (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) (patch (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) (taylor 0 B) (#s(alt (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) (patch (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* 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)) (taylor 0 B) (#s(alt (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) (patch (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 B) (taylor inf B) (#s(alt (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) (patch (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (* B (- (/ C B) (+ 1 (/ A B)))) (taylor inf B) (#s(alt (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) (patch (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (* B (- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B)))) (taylor inf B) (#s(alt (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) (patch (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (* B (- (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B)) (+ 1 (+ (* 1/2 (/ (pow (- A C) 2) (pow B 2))) (/ A B))))) (taylor inf B) (#s(alt (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) (patch (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* B (- (* -1 (/ (- C A) B)) 1))) (taylor -inf B) (#s(alt (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) (patch (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* B (- (* -1 (/ (- (+ C (* 1/2 (/ (pow (- A C) 2) B))) A) B)) 1))) (taylor -inf B) (#s(alt (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) (patch (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* B (- (* -1 (/ (- (+ C (* -1 (/ (- (* 1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) A) B)) 1))) (taylor -inf B) (#s(alt (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) (patch (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) #<representation binary64>) () ())) ()) |
225 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | C | @ | 0 | (* 180 (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B))) |
| 1.0ms | B | @ | inf | (* B (/ 1/2 (- A C))) |
| 1.0ms | B | @ | 0 | (* B (/ 1/2 (- A C))) |
| 0.0ms | A | @ | inf | (* B (/ 1/2 (- A C))) |
| 0.0ms | C | @ | 0 | (* B (/ 1/2 (- A C))) |
| 1× | egg-herbie |
| 9 892× | lower-fma.f64 |
| 9 892× | lower-fma.f32 |
| 6 164× | lower-*.f64 |
| 6 164× | lower-*.f32 |
| 4 402× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 828 | 19452 |
| 1 | 2535 | 18839 |
| 2 | 7705 | 18835 |
| 0 | 8332 | 15256 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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 (- 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 (* -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 (/ (- 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 (- 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 (* -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 (+ 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 (- 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 (- 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))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) 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)))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C 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))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (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 (- 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 (- C A) 2))))) 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))) |
(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 (- 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 (* -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 (+ 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)) |
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(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
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(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)) |
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(+ (* -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))))))) |
(* 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))))) |
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(- (+ (* 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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(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
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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)) |
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(* 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))))) |
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-1 |
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(- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- C A) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
1 |
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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)) |
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(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
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(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)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
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(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
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(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
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(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
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(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) 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))) |
(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)) |
(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)) |
(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)) |
(/ (- (* 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 |
(- (/ 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 |
(- (+ 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 (/ (+ 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 (* -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))))))) |
(* 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 (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)) |
(* 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))))) |
(* 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)) |
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(/ (- (* 2 C) (* 2 A)) B) |
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(/ (- (+ (* 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 |
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(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
1 |
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(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) B))) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
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(+ (* -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 (* -1 A)) B)) |
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(* 2 (/ C B)) |
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(- (+ (* 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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(* 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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(* -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)) |
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(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
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(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 (- 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 (* -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 (- 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 |
(- (/ 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 |
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(+ 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 (/ (+ 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 (* -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))))))) |
(* 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 (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)) |
(* 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))))) |
(* 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 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 |
(- (/ 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 |
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(+ 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 (/ (+ 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 (* -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))))))) |
(* 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 (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)) |
(* 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))))) |
(* 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 (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
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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))) |
(* 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))) |
(* 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 (* -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 (/ (- 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 (* -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 (+ 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)) (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)) (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)) (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 (* -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 (/ (- 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)) (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 (* -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 (+ 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)) |
(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)) |
(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)) |
(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)) |
(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)) |
(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 (/ (- 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)) |
(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)) |
(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)) |
(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)))))))))) |
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 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))))) |
(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)))))))))) |
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))))))) |
(* -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))))) |
(- 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) |
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) |
(* -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)))))))) |
(* -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 (* -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)))))) |
(* 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))) |
(- 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)))) |
(* -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))))))) |
(* 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 (/ (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 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))))) |
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))) |
(* 1/2 (/ B (- A C))) |
(* 1/2 (/ B (- A C))) |
(* 1/2 (/ B (- A C))) |
(* 1/2 (/ B (- A C))) |
(* 1/2 (/ B (- A C))) |
(* 1/2 (/ B (- A C))) |
(* 1/2 (/ B (- A C))) |
(* 1/2 (/ B (- A C))) |
(* 1/2 (/ B (- A C))) |
(* 1/2 (/ B (- A C))) |
(* 1/2 (/ B (- A C))) |
(* 1/2 (/ B (- A C))) |
(* -1/2 (/ B C)) |
(+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2)))) |
(+ (* -1/2 (/ B C)) (* A (+ (* -1/2 (/ B (pow C 2))) (* -1/2 (/ (* A B) (pow C 3)))))) |
(+ (* -1/2 (/ B C)) (* A (+ (* -1/2 (/ B (pow C 2))) (* A (+ (* -1/2 (/ B (pow C 3))) (* -1/2 (/ (* A B) (pow C 4)))))))) |
(* 1/2 (/ B A)) |
(/ (+ (* 1/2 B) (* 1/2 (/ (* B C) A))) A) |
(/ (+ (* 1/2 B) (+ (* 1/2 (/ (* B C) A)) (* 1/2 (/ (* B (pow C 2)) (pow A 2))))) A) |
(/ (+ (* 1/2 B) (+ (* 1/2 (/ (* B C) A)) (+ (* 1/2 (/ (* B (pow C 2)) (pow A 2))) (* 1/2 (/ (* B (pow C 3)) (pow A 3)))))) A) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* B C)) (* 1/2 (/ (* B (pow C 2)) A))) A)) (* -1/2 B)) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* B (pow C 2))) (* -1/2 (/ (* B (pow C 3)) A))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* 1/2 (/ B A)) |
(+ (* 1/2 (/ B A)) (* 1/2 (/ (* B C) (pow A 2)))) |
(+ (* 1/2 (/ B A)) (* C (+ (* 1/2 (/ B (pow A 2))) (* 1/2 (/ (* B C) (pow A 3)))))) |
(+ (* 1/2 (/ B A)) (* C (+ (* 1/2 (/ B (pow A 2))) (* C (+ (* 1/2 (/ B (pow A 3))) (* 1/2 (/ (* B C) (pow A 4)))))))) |
(* -1/2 (/ B C)) |
(/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C) |
(/ (+ (* -1/2 B) (+ (* -1/2 (/ (* A B) C)) (* -1/2 (/ (* (pow A 2) B) (pow C 2))))) C) |
(/ (+ (* -1/2 B) (+ (* -1/2 (/ (* A B) C)) (+ (* -1/2 (/ (* (pow A 2) B) (pow C 2))) (* -1/2 (/ (* (pow A 3) B) (pow C 3)))))) C) |
(* -1/2 (/ B C)) |
(* -1 (/ (+ (* 1/2 B) (* 1/2 (/ (* A B) C))) C)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* A B)) (* -1/2 (/ (* (pow A 2) B) C))) C)) (* 1/2 B)) C)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (pow A 2) B)) (* 1/2 (/ (* (pow A 3) B) C))) C)) (* -1/2 (* A B))) C)) (* 1/2 B)) C)) |
(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)))))))))) |
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))))))) |
(* -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))))) |
(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)))))))))) |
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 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))))) |
(- 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) |
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) |
(* -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)))))))) |
(* -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 (* -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)))))) |
(* 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))) |
(- 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)))) |
(* -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))))))) |
(* 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)) |
(- (* 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)) |
(* -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))))) |
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))) |
| Outputs |
|---|
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) 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 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) 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 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) 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 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) 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 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) 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 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) 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 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) 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 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(*.f64 (atan.f64 (/.f64 (+.f64 A (-.f64 (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))) C)) (neg.f64 B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(*.f64 (atan.f64 (/.f64 (+.f64 A (-.f64 (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))) C)) (neg.f64 B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(*.f64 (atan.f64 (/.f64 (+.f64 A (-.f64 (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))) C)) (neg.f64 B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(*.f64 (atan.f64 (/.f64 (+.f64 A (-.f64 (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))) C)) (neg.f64 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 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
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(neg.f64 C) |
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(neg.f64 (fma.f64 C (/.f64 A (neg.f64 C)) C)) |
(* -1 (* C (+ 1 (* -1 (/ (+ A (* -1/2 (/ (pow B 2) C))) C))))) |
(neg.f64 (fma.f64 C (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) C) A) (neg.f64 C)) C)) |
(* -1 (* C (+ 1 (* -1 (/ (+ A (* -1 (/ (+ (* 1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C))) C))))) |
(neg.f64 (fma.f64 C (/.f64 (+.f64 A (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 A (/.f64 (*.f64 B B) C) (*.f64 B B))) C)) (neg.f64 C)) C)) |
(sqrt (+ (pow B 2) (pow C 2))) |
(sqrt.f64 (fma.f64 C C (*.f64 B B))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) |
(-.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B)))) (*.f64 C A))) |
(+ (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))))))))) |
(fma.f64 A (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) A) (-.f64 #s(literal 1 binary64) (*.f64 C (/.f64 C (fma.f64 C C (*.f64 B B))))) (neg.f64 C))) (sqrt.f64 (fma.f64 C C (*.f64 B B)))) |
(+ (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)))))))))) |
(fma.f64 A (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) A) (-.f64 #s(literal 1 binary64) (*.f64 C (/.f64 C (fma.f64 C C (*.f64 B B))))) (neg.f64 C)) (*.f64 A (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 C C (*.f64 B B)) (*.f64 (fma.f64 C C (*.f64 B B)) (fma.f64 C C (*.f64 B B)))))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 C (/.f64 C (fma.f64 C C (*.f64 B B))))) (*.f64 C A)) #s(literal 1/2 binary64))))) (sqrt.f64 (fma.f64 C C (*.f64 B B)))) |
A |
(* A (+ 1 (* -1 (/ C A)))) |
(fma.f64 A (/.f64 C (neg.f64 A)) A) |
(* A (+ 1 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2)))))) |
(*.f64 A (fma.f64 #s(literal 1/2 binary64) (*.f64 B (/.f64 B (*.f64 A A))) (-.f64 #s(literal 1 binary64) (/.f64 C A)))) |
(* A (+ 1 (+ (* -1 (/ C A)) (+ (* 1/2 (/ (* (pow B 2) C) (pow A 3))) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(fma.f64 A (fma.f64 #s(literal 1/2 binary64) (fma.f64 B (/.f64 B (*.f64 A A)) (/.f64 (*.f64 C (*.f64 B B)) (*.f64 A (*.f64 A A)))) (/.f64 C (neg.f64 A))) A) |
(* -1 A) |
(neg.f64 A) |
(* -1 (* A (+ 1 (* -1 (/ C A))))) |
(neg.f64 (fma.f64 A (/.f64 C (neg.f64 A)) A)) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1/2 (/ (pow B 2) A))) A))))) |
(neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) A) C) A) (neg.f64 A) A)) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1 (/ (+ (* 1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A))) A))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 C (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 C (/.f64 (*.f64 B B) A) (*.f64 B B))) A)) A)) (neg.f64 A)) |
(- C A) |
(-.f64 C A) |
(- (+ C (* 1/2 (/ (pow B 2) (- C A)))) A) |
(-.f64 (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/2 binary64) (-.f64 C A)) C) A) |
(- (+ C (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A)))))) A) |
(fma.f64 (*.f64 B B) (fma.f64 (/.f64 (*.f64 B B) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 C A))) (-.f64 C 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) |
(-.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 (/.f64 (*.f64 B B) (pow.f64 (-.f64 C A) #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (-.f64 A C) (*.f64 (-.f64 C A) (-.f64 C A)))))) (/.f64 #s(literal 1/2 binary64) (-.f64 C A))) C) A) |
B |
(* B (+ 1 (* 1/2 (/ (pow (- C A) 2) (pow B 2))))) |
(fma.f64 B (/.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) #s(literal 1/2 binary64))) (*.f64 B B)) B) |
(* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))) |
(fma.f64 B (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 B B)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 C A) #s(literal 4 binary64))) (pow.f64 B #s(literal 4 binary64)))) B) |
(* 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))))))) |
(fma.f64 B (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 B B)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (-.f64 C A) #s(literal 6 binary64)) (pow.f64 B #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 C A) #s(literal 4 binary64))) (pow.f64 B #s(literal 4 binary64))))) B) |
(* -1 B) |
(neg.f64 B) |
(* -1 (* B (+ 1 (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))) |
(neg.f64 (fma.f64 B (/.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) #s(literal 1/2 binary64))) (*.f64 B B)) B)) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (* 1/2 (/ (pow (- C A) 2) (pow B 2))))))) |
(neg.f64 (fma.f64 B (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 B B)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 C A) #s(literal 4 binary64))) (pow.f64 B #s(literal 4 binary64)))) B)) |
(* -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)))))))) |
(neg.f64 (fma.f64 B (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 B B)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (-.f64 C A) #s(literal 6 binary64)) (pow.f64 B #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 C A) #s(literal 4 binary64))) (pow.f64 B #s(literal 4 binary64))))) B)) |
(* -1 (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(neg.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B))))) |
(- (* C (- 1 (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(fma.f64 C (fma.f64 A (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) #s(literal 1 binary64)) (neg.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))))) |
(- (* 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 C (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) C) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (fma.f64 A A (*.f64 B B)))) A) #s(literal 1 binary64)) (neg.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))))) |
(- (* 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 C (fma.f64 C (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (fma.f64 A A (*.f64 B B)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (fma.f64 A A (*.f64 B B)))) (*.f64 C A)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 A A (*.f64 B B)) (*.f64 (fma.f64 A A (*.f64 B B)) (fma.f64 A A (*.f64 B B))))))))) (fma.f64 A (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) #s(literal 1 binary64))) (neg.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))))) |
(* -1 (+ A (* -1 A))) |
#s(literal 0 binary64) |
(- (* -1/2 (/ (pow B 2) C)) (+ A (* -1 A))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) C) #s(literal 0 binary64)) |
(- (* -1/2 (/ (* A (pow B 2)) (pow C 2))) (+ A (+ (* -1 A) (* 1/2 (/ (pow B 2) C))))) |
(-.f64 (*.f64 A (*.f64 (*.f64 B (/.f64 B (*.f64 C C))) #s(literal -1/2 binary64))) (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/2 binary64) C) #s(literal 0 binary64))) |
(- (* 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)))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 B #s(literal 4 binary64))) (*.f64 A (*.f64 A (*.f64 B B))))) (*.f64 C (*.f64 C C))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 A (*.f64 B (/.f64 B (*.f64 C C))) (/.f64 (*.f64 B B) C)) #s(literal 0 binary64))) |
(* 2 C) |
(*.f64 C #s(literal 2 binary64)) |
(* -1 (* C (- (* 2 (/ A C)) 2))) |
(neg.f64 (*.f64 C (fma.f64 A (/.f64 #s(literal 2 binary64) C) #s(literal -2 binary64)))) |
(* -1 (* C (- (* -1 (/ (- (* 1/2 (/ (pow B 2) C)) (* 2 A)) C)) 2))) |
(neg.f64 (*.f64 C (+.f64 #s(literal -2 binary64) (neg.f64 (/.f64 (fma.f64 A #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) C)) C))))) |
(* -1 (* C (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C)) (* 2 A)) C)) 2))) |
(*.f64 (+.f64 #s(literal -2 binary64) (/.f64 (fma.f64 A #s(literal -2 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 A (/.f64 (*.f64 B B) C) (*.f64 B B))) C))) (neg.f64 C))) (neg.f64 C)) |
(- C (sqrt (+ (pow B 2) (pow C 2)))) |
(-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) |
(- (+ C (* -1 (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(-.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B)))) (neg.f64 C) #s(literal 1 binary64)) (neg.f64 A) C) (sqrt.f64 (fma.f64 C C (*.f64 B B)))) |
(- (+ 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)))) |
(fma.f64 A (+.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) A) (-.f64 #s(literal 1 binary64) (*.f64 C (/.f64 C (fma.f64 C C (*.f64 B B)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B)))) #s(literal -1 binary64)) (*.f64 C (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B)))))) (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B))))) |
(- (+ 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)))) |
(fma.f64 A (+.f64 (fma.f64 A (*.f64 #s(literal -1/2 binary64) (fma.f64 A (*.f64 (*.f64 C (-.f64 #s(literal 1 binary64) (*.f64 C (/.f64 C (fma.f64 C C (*.f64 B B)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 C C (*.f64 B B)) (*.f64 (fma.f64 C C (*.f64 B B)) (fma.f64 C C (*.f64 B B))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B)))) (-.f64 #s(literal 1 binary64) (*.f64 C (/.f64 C (fma.f64 C C (*.f64 B B)))))))) #s(literal -1 binary64)) (*.f64 C (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B)))))) (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B))))) |
(* -2 A) |
(*.f64 A #s(literal -2 binary64)) |
(* A (- (/ C A) (+ 2 (* -1 (/ C A))))) |
(*.f64 A (-.f64 (/.f64 C A) (-.f64 #s(literal 2 binary64) (/.f64 C A)))) |
(* A (- (+ (* -1/2 (/ (pow B 2) (pow A 2))) (/ C A)) (+ 2 (* -1 (/ C A))))) |
(*.f64 A (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 B (/.f64 B (*.f64 A A))) (/.f64 C A)) (-.f64 #s(literal 2 binary64) (/.f64 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))))))) |
(*.f64 A (-.f64 (fma.f64 (*.f64 B B) (*.f64 (/.f64 C (*.f64 A (*.f64 A A))) #s(literal -1/2 binary64)) (/.f64 C A)) (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/2 binary64) (*.f64 A A)) (-.f64 #s(literal 2 binary64) (/.f64 C A))))) |
(* 1/2 (/ (pow B 2) A)) |
(/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) A) |
(* -1 (/ (- (* -1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 C (/.f64 (*.f64 B B) A) (*.f64 B B))) (neg.f64 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 B B) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 B #s(literal 4 binary64))) (*.f64 C (*.f64 C (*.f64 B B)))) A) (*.f64 C (*.f64 B 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 B B) #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 C (*.f64 B B)) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 B #s(literal 4 binary64))) (*.f64 C (*.f64 C (*.f64 B B)))) (neg.f64 C) (*.f64 C (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal -1/2 binary64)))) A) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 B #s(literal 4 binary64))) (*.f64 C (*.f64 C (*.f64 B B)))))) A)) (neg.f64 A))) (neg.f64 A)) |
(* -1/2 (/ (pow B 2) (- C A))) |
(/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) (-.f64 C A)) |
(* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A))))) |
(*.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/8 binary64) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A)))) (/.f64 #s(literal -1/2 binary64) (-.f64 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))))) |
(*.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 B B) (pow.f64 (-.f64 C A) #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))))) (/.f64 #s(literal -1/2 binary64) (-.f64 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))))) |
(*.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 B (*.f64 B (fma.f64 #s(literal 5/128 binary64) (/.f64 (*.f64 B B) (pow.f64 (-.f64 C A) #s(literal 7 binary64))) (/.f64 #s(literal -1/16 binary64) (pow.f64 (-.f64 C A) #s(literal 5 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A)))))) (/.f64 #s(literal -1/2 binary64) (-.f64 C A)))) |
(* -1 B) |
(neg.f64 B) |
(* B (- (/ C B) (+ 1 (/ A B)))) |
(*.f64 B (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) |
(* B (- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B)))) |
(*.f64 B (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 B B)) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) |
(* B (- (+ (* 1/8 (/ (pow (- C A) 4) (pow B 4))) (/ C B)) (+ 1 (+ (* 1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B))))) |
(*.f64 B (-.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 C A) #s(literal 4 binary64)) (pow.f64 B #s(literal 4 binary64))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (/.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) #s(literal 1/2 binary64))) (*.f64 B B)))) |
B |
(* -1 (* B (- (* -1 (/ (- C A) B)) 1))) |
(neg.f64 (fma.f64 B (/.f64 (-.f64 A C) B) (neg.f64 B))) |
(* -1 (* B (- (* -1 (/ (- (+ C (* 1/2 (/ (pow (- C A) 2) B))) A) B)) 1))) |
(neg.f64 (fma.f64 B (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) B) (-.f64 C A)) (neg.f64 B)) (neg.f64 B))) |
(* -1 (* B (- (* -1 (/ (- (+ C (* -1 (/ (- (* 1/8 (/ (pow (- C A) 4) (pow B 2))) (* 1/2 (pow (- C A) 2))) B))) A) B)) 1))) |
(neg.f64 (fma.f64 B (neg.f64 (/.f64 (-.f64 (-.f64 C (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 C A) #s(literal 4 binary64)) (*.f64 B B)) (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 C A) (-.f64 C A)))) B)) A) B)) (neg.f64 B))) |
(* 1/2 (/ B (- A C))) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A)) |
(* 1/2 (/ B (- A C))) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A)) |
(* 1/2 (/ B (- A C))) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A)) |
(* 1/2 (/ B (- A C))) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A)) |
(* 1/2 (/ B (- A C))) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A)) |
(* 1/2 (/ B (- A C))) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A)) |
(* 1/2 (/ B (- A C))) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A)) |
(* 1/2 (/ B (- A C))) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A)) |
(* 1/2 (/ B (- A C))) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A)) |
(* 1/2 (/ B (- A C))) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A)) |
(* 1/2 (/ B (- A C))) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A)) |
(* 1/2 (/ B (- A C))) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A)) |
(* -1/2 (/ B C)) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) C) |
(+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2)))) |
(*.f64 #s(literal -1/2 binary64) (fma.f64 A (/.f64 B (*.f64 C C)) (/.f64 B C))) |
(+ (* -1/2 (/ B C)) (* A (+ (* -1/2 (/ B (pow C 2))) (* -1/2 (/ (* A B) (pow C 3)))))) |
(fma.f64 A (*.f64 #s(literal -1/2 binary64) (fma.f64 A (/.f64 B (*.f64 C (*.f64 C C))) (/.f64 B (*.f64 C C)))) (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) |
(+ (* -1/2 (/ B C)) (* A (+ (* -1/2 (/ B (pow C 2))) (* A (+ (* -1/2 (/ B (pow C 3))) (* -1/2 (/ (* A B) (pow C 4)))))))) |
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(* 1/2 (/ B A)) |
(/.f64 (*.f64 B #s(literal 1/2 binary64)) A) |
(/ (+ (* 1/2 B) (* 1/2 (/ (* B C) A))) A) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 C (/.f64 B A) B)) A) |
(/ (+ (* 1/2 B) (+ (* 1/2 (/ (* B C) A)) (* 1/2 (/ (* B (pow C 2)) (pow A 2))))) A) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 B (+.f64 (/.f64 C A) (*.f64 C (/.f64 C (*.f64 A A)))) B)) A) |
(/ (+ (* 1/2 B) (+ (* 1/2 (/ (* B C) A)) (+ (* 1/2 (/ (* B (pow C 2)) (pow A 2))) (* 1/2 (/ (* B (pow C 3)) (pow A 3)))))) A) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 C (/.f64 B A) B) (*.f64 B (fma.f64 C (/.f64 C (*.f64 A A)) (/.f64 (*.f64 C (*.f64 C C)) (*.f64 A (*.f64 A A))))))) A) |
(* 1/2 (/ B A)) |
(/.f64 (*.f64 B #s(literal 1/2 binary64)) A) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 C (/.f64 B A) B)) A) |
(* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* B C)) (* 1/2 (/ (* B (pow C 2)) A))) A)) (* -1/2 B)) A)) |
(/.f64 (fma.f64 B #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 B (+.f64 C (/.f64 (*.f64 C C) A)))) A)) (neg.f64 A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* B (pow C 2))) (* -1/2 (/ (* B (pow C 3)) A))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(/.f64 (fma.f64 B #s(literal -1/2 binary64) (/.f64 (fma.f64 C (*.f64 B #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 B (fma.f64 C C (/.f64 (*.f64 C (*.f64 C C)) A)))) A)) (neg.f64 A))) (neg.f64 A)) |
(* 1/2 (/ B A)) |
(/.f64 (*.f64 B #s(literal 1/2 binary64)) A) |
(+ (* 1/2 (/ B A)) (* 1/2 (/ (* B C) (pow A 2)))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 C (/.f64 B (*.f64 A A)) (/.f64 B A))) |
(+ (* 1/2 (/ B A)) (* C (+ (* 1/2 (/ B (pow A 2))) (* 1/2 (/ (* B C) (pow A 3)))))) |
(fma.f64 C (*.f64 #s(literal 1/2 binary64) (fma.f64 B (/.f64 C (*.f64 A (*.f64 A A))) (/.f64 B (*.f64 A A)))) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
(+ (* 1/2 (/ B A)) (* C (+ (* 1/2 (/ B (pow A 2))) (* C (+ (* 1/2 (/ B (pow A 3))) (* 1/2 (/ (* B C) (pow A 4)))))))) |
(fma.f64 C (fma.f64 C (*.f64 #s(literal 1/2 binary64) (fma.f64 B (/.f64 C (pow.f64 A #s(literal 4 binary64))) (/.f64 B (*.f64 A (*.f64 A A))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B (*.f64 A A)))) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
(* -1/2 (/ B C)) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) C) |
(/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 A (/.f64 B C) B) C)) |
(/ (+ (* -1/2 B) (+ (* -1/2 (/ (* A B) C)) (* -1/2 (/ (* (pow A 2) B) (pow C 2))))) C) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (fma.f64 A (/.f64 B C) B) (/.f64 (*.f64 A (*.f64 A B)) (*.f64 C C)))) C) |
(/ (+ (* -1/2 B) (+ (* -1/2 (/ (* A B) C)) (+ (* -1/2 (/ (* (pow A 2) B) (pow C 2))) (* -1/2 (/ (* (pow A 3) B) (pow C 3)))))) C) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (fma.f64 A (/.f64 B C) B) (fma.f64 A (*.f64 A (/.f64 B (*.f64 C C))) (/.f64 (*.f64 B (*.f64 A (*.f64 A A))) (*.f64 C (*.f64 C C)))))) C) |
(* -1/2 (/ B C)) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) C) |
(* -1 (/ (+ (* 1/2 B) (* 1/2 (/ (* A B) C))) C)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 A (/.f64 B C) B) C)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* A B)) (* -1/2 (/ (* (pow A 2) B) C))) C)) (* 1/2 B)) C)) |
(/.f64 (fma.f64 B #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 A (*.f64 A (/.f64 B C)) (*.f64 A B))) C)) (neg.f64 C)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (pow A 2) B)) (* 1/2 (/ (* (pow A 3) B) C))) C)) (* -1/2 (* A B))) C)) (* 1/2 B)) C)) |
(/.f64 (fma.f64 B #s(literal 1/2 binary64) (/.f64 (fma.f64 A (*.f64 B #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 (*.f64 A (*.f64 A A)) C) (*.f64 A (*.f64 A B)))) C)) (neg.f64 C))) (neg.f64 C)) |
(sqrt (+ (pow B 2) (pow C 2))) |
(sqrt.f64 (fma.f64 C C (*.f64 B B))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) |
(-.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B)))) (*.f64 C A))) |
(+ (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))))))))) |
(fma.f64 A (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) A) (-.f64 #s(literal 1 binary64) (*.f64 C (/.f64 C (fma.f64 C C (*.f64 B B))))) (neg.f64 C))) (sqrt.f64 (fma.f64 C C (*.f64 B B)))) |
(+ (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)))))))))) |
(fma.f64 A (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) A) (-.f64 #s(literal 1 binary64) (*.f64 C (/.f64 C (fma.f64 C C (*.f64 B B))))) (neg.f64 C)) (*.f64 A (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 C C (*.f64 B B)) (*.f64 (fma.f64 C C (*.f64 B B)) (fma.f64 C C (*.f64 B B)))))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 C (/.f64 C (fma.f64 C C (*.f64 B B))))) (*.f64 C A)) #s(literal 1/2 binary64))))) (sqrt.f64 (fma.f64 C C (*.f64 B B)))) |
A |
(* A (+ 1 (* -1 (/ C A)))) |
(fma.f64 A (/.f64 C (neg.f64 A)) A) |
(* A (+ 1 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2)))))) |
(*.f64 A (fma.f64 #s(literal 1/2 binary64) (*.f64 B (/.f64 B (*.f64 A A))) (-.f64 #s(literal 1 binary64) (/.f64 C A)))) |
(* A (+ 1 (+ (* -1 (/ C A)) (+ (* 1/2 (/ (* (pow B 2) C) (pow A 3))) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(fma.f64 A (fma.f64 #s(literal 1/2 binary64) (fma.f64 B (/.f64 B (*.f64 A A)) (/.f64 (*.f64 C (*.f64 B B)) (*.f64 A (*.f64 A A)))) (/.f64 C (neg.f64 A))) A) |
(* -1 A) |
(neg.f64 A) |
(* -1 (* A (+ 1 (* -1 (/ C A))))) |
(neg.f64 (fma.f64 A (/.f64 C (neg.f64 A)) A)) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1/2 (/ (pow B 2) A))) A))))) |
(neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) A) C) A) (neg.f64 A) A)) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1 (/ (+ (* 1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A))) A))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 C (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 C (/.f64 (*.f64 B B) A) (*.f64 B B))) A)) A)) (neg.f64 A)) |
(sqrt (+ (pow A 2) (pow B 2))) |
(sqrt.f64 (fma.f64 A A (*.f64 B B))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) |
(-.f64 (sqrt.f64 (fma.f64 A A (*.f64 B B))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (*.f64 C 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 C (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) C) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (fma.f64 A A (*.f64 B B)))) (neg.f64 A))) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) |
(+ (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 C (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) C) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (fma.f64 A A (*.f64 B B)))) (neg.f64 A)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (fma.f64 A A (*.f64 B B)))) (*.f64 C A)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 A A (*.f64 B B)) (*.f64 (fma.f64 A A (*.f64 B B)) (fma.f64 A A (*.f64 B B))))))) (*.f64 #s(literal 1/2 binary64) C))) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) |
C |
(* C (+ 1 (* -1 (/ A C)))) |
(fma.f64 C (/.f64 A (neg.f64 C)) C) |
(* C (+ 1 (+ (* -1 (/ A C)) (* 1/2 (/ (pow B 2) (pow C 2)))))) |
(fma.f64 C (fma.f64 #s(literal 1/2 binary64) (*.f64 B (/.f64 B (*.f64 C C))) (/.f64 A (neg.f64 C))) C) |
(* C (+ 1 (+ (* -1 (/ A C)) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 3))) (* 1/2 (/ (pow B 2) (pow C 2))))))) |
(fma.f64 C (-.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 A (*.f64 B (/.f64 B (*.f64 C (*.f64 C C)))) (*.f64 B (/.f64 B (*.f64 C C))))) (/.f64 A C)) C) |
(* -1 C) |
(neg.f64 C) |
(* -1 (* C (+ 1 (* -1 (/ A C))))) |
(neg.f64 (fma.f64 C (/.f64 A (neg.f64 C)) C)) |
(* -1 (* C (+ 1 (* -1 (/ (+ A (* -1/2 (/ (pow B 2) C))) C))))) |
(neg.f64 (fma.f64 C (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) C) A) (neg.f64 C)) C)) |
(* -1 (* C (+ 1 (* -1 (/ (+ A (* -1 (/ (+ (* 1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C))) C))))) |
(neg.f64 (fma.f64 C (/.f64 (+.f64 A (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 A (/.f64 (*.f64 B B) C) (*.f64 B B))) C)) (neg.f64 C)) C)) |
(- A C) |
(-.f64 A C) |
(- (+ A (* 1/2 (/ (pow B 2) (- A C)))) C) |
(-.f64 (fma.f64 (*.f64 B B) (/.f64 #s(literal -1/2 binary64) (-.f64 C A)) A) C) |
(- (+ A (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) C) |
(fma.f64 (*.f64 B B) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 B B) (*.f64 (-.f64 A C) (*.f64 (-.f64 C A) (-.f64 C A)))) (/.f64 #s(literal -1/2 binary64) (-.f64 C A))) (-.f64 A 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) |
(-.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 B B) (pow.f64 (-.f64 A C) #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 (-.f64 A C) (*.f64 (-.f64 C A) (-.f64 C A))))) (/.f64 #s(literal -1/2 binary64) (-.f64 C A))) A) C) |
B |
(* B (+ 1 (* 1/2 (/ (pow (- A C) 2) (pow B 2))))) |
(fma.f64 B (/.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) #s(literal 1/2 binary64))) (*.f64 B B)) B) |
(* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (* 1/2 (/ (pow (- A C) 2) (pow B 2)))))) |
(fma.f64 B (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 B B)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 A C) #s(literal 4 binary64))) (pow.f64 B #s(literal 4 binary64)))) B) |
(* 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))))))) |
(fma.f64 B (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (-.f64 A C) #s(literal 6 binary64)) (pow.f64 B #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 B B)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 A C) #s(literal 4 binary64))) (pow.f64 B #s(literal 4 binary64))))) B) |
(* -1 B) |
(neg.f64 B) |
(* -1 (* B (+ 1 (* 1/2 (/ (pow (- A C) 2) (pow B 2)))))) |
(neg.f64 (fma.f64 B (/.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) #s(literal 1/2 binary64))) (*.f64 B B)) B)) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (* 1/2 (/ (pow (- A C) 2) (pow B 2))))))) |
(neg.f64 (fma.f64 B (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 B B)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 A C) #s(literal 4 binary64))) (pow.f64 B #s(literal 4 binary64)))) B)) |
(* -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)))))))) |
(neg.f64 (fma.f64 B (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (-.f64 A C) #s(literal 6 binary64)) (pow.f64 B #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 B B)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 A C) #s(literal 4 binary64))) (pow.f64 B #s(literal 4 binary64))))) B)) |
(* -1 (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(neg.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B))))) |
(- (* C (- 1 (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(fma.f64 C (fma.f64 A (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) #s(literal 1 binary64)) (neg.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))))) |
(- (* 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 C (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) C) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (fma.f64 A A (*.f64 B B)))) A) #s(literal 1 binary64)) (neg.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))))) |
(- (* 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))))) |
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(* -1 (+ A (* -1 A))) |
#s(literal 0 binary64) |
(- (* -1/2 (/ (pow B 2) C)) (+ A (* -1 A))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) C) #s(literal 0 binary64)) |
(- (* -1/2 (/ (* A (pow B 2)) (pow C 2))) (+ A (+ (* -1 A) (* 1/2 (/ (pow B 2) C))))) |
(-.f64 (*.f64 A (*.f64 (*.f64 B (/.f64 B (*.f64 C C))) #s(literal -1/2 binary64))) (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/2 binary64) C) #s(literal 0 binary64))) |
(- (* 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)))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 B #s(literal 4 binary64))) (*.f64 A (*.f64 A (*.f64 B B))))) (*.f64 C (*.f64 C C))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 A (*.f64 B (/.f64 B (*.f64 C C))) (/.f64 (*.f64 B B) C)) #s(literal 0 binary64))) |
(* 2 C) |
(*.f64 C #s(literal 2 binary64)) |
(* -1 (* C (- (* 2 (/ A C)) 2))) |
(neg.f64 (*.f64 C (fma.f64 A (/.f64 #s(literal 2 binary64) C) #s(literal -2 binary64)))) |
(* -1 (* C (- (* -1 (/ (- (* 1/2 (/ (pow B 2) C)) (* 2 A)) C)) 2))) |
(neg.f64 (*.f64 C (+.f64 #s(literal -2 binary64) (neg.f64 (/.f64 (fma.f64 A #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) C)) C))))) |
(* -1 (* C (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C)) (* 2 A)) C)) 2))) |
(*.f64 (+.f64 #s(literal -2 binary64) (/.f64 (fma.f64 A #s(literal -2 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 A (/.f64 (*.f64 B B) C) (*.f64 B B))) C))) (neg.f64 C))) (neg.f64 C)) |
(- C (sqrt (+ (pow B 2) (pow C 2)))) |
(-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) |
(- (+ C (* -1 (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(-.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B)))) (neg.f64 C) #s(literal 1 binary64)) (neg.f64 A) C) (sqrt.f64 (fma.f64 C C (*.f64 B B)))) |
(- (+ 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)))) |
(fma.f64 A (+.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) A) (-.f64 #s(literal 1 binary64) (*.f64 C (/.f64 C (fma.f64 C C (*.f64 B B)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B)))) #s(literal -1 binary64)) (*.f64 C (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B)))))) (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B))))) |
(- (+ 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)))) |
(fma.f64 A (+.f64 (fma.f64 A (*.f64 #s(literal -1/2 binary64) (fma.f64 A (*.f64 (*.f64 C (-.f64 #s(literal 1 binary64) (*.f64 C (/.f64 C (fma.f64 C C (*.f64 B B)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 C C (*.f64 B B)) (*.f64 (fma.f64 C C (*.f64 B B)) (fma.f64 C C (*.f64 B B))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B)))) (-.f64 #s(literal 1 binary64) (*.f64 C (/.f64 C (fma.f64 C C (*.f64 B B)))))))) #s(literal -1 binary64)) (*.f64 C (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B)))))) (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B))))) |
(* -2 A) |
(*.f64 A #s(literal -2 binary64)) |
(* A (- (/ C A) (+ 2 (* -1 (/ C A))))) |
(*.f64 A (-.f64 (/.f64 C A) (-.f64 #s(literal 2 binary64) (/.f64 C A)))) |
(* A (- (+ (* -1/2 (/ (pow B 2) (pow A 2))) (/ C A)) (+ 2 (* -1 (/ C A))))) |
(*.f64 A (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 B (/.f64 B (*.f64 A A))) (/.f64 C A)) (-.f64 #s(literal 2 binary64) (/.f64 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))))))) |
(*.f64 A (-.f64 (fma.f64 (*.f64 B B) (*.f64 (/.f64 C (*.f64 A (*.f64 A A))) #s(literal -1/2 binary64)) (/.f64 C A)) (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/2 binary64) (*.f64 A A)) (-.f64 #s(literal 2 binary64) (/.f64 C A))))) |
(* 1/2 (/ (pow B 2) A)) |
(/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) A) |
(* -1 (/ (- (* -1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 C (/.f64 (*.f64 B B) A) (*.f64 B B))) (neg.f64 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 B B) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 B #s(literal 4 binary64))) (*.f64 C (*.f64 C (*.f64 B B)))) A) (*.f64 C (*.f64 B 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 B B) #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 C (*.f64 B B)) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 B #s(literal 4 binary64))) (*.f64 C (*.f64 C (*.f64 B B)))) (neg.f64 C) (*.f64 C (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal -1/2 binary64)))) A) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 B #s(literal 4 binary64))) (*.f64 C (*.f64 C (*.f64 B B)))))) A)) (neg.f64 A))) (neg.f64 A)) |
(- (* 2 C) (* 2 A)) |
(*.f64 #s(literal 2 binary64) (-.f64 C A)) |
(- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) (-.f64 A C)) (*.f64 #s(literal 2 binary64) (-.f64 C A))) |
(- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) |
(fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/8 binary64) (*.f64 (-.f64 A C) (*.f64 (-.f64 C A) (-.f64 C A)))) (/.f64 #s(literal -1/2 binary64) (-.f64 A C))) (*.f64 #s(literal 2 binary64) (-.f64 C 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)) |
(fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 B B) (pow.f64 (-.f64 A C) #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (-.f64 A C) (*.f64 (-.f64 C A) (-.f64 C A))))) (/.f64 #s(literal -1/2 binary64) (-.f64 A C))) (*.f64 #s(literal 2 binary64) (-.f64 C A))) |
(* -1 B) |
(neg.f64 B) |
(* B (- (/ C B) (+ 1 (/ A B)))) |
(*.f64 B (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) |
(* B (- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B)))) |
(*.f64 B (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 B B)) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) |
(* B (- (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B)) (+ 1 (+ (* 1/2 (/ (pow (- A C) 2) (pow B 2))) (/ A B))))) |
(*.f64 B (-.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 A C) #s(literal 4 binary64)) (pow.f64 B #s(literal 4 binary64))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (/.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) #s(literal 1/2 binary64))) (*.f64 B B)))) |
B |
(* -1 (* B (- (* -1 (/ (- C A) B)) 1))) |
(neg.f64 (fma.f64 B (/.f64 (-.f64 A C) B) (neg.f64 B))) |
(* -1 (* B (- (* -1 (/ (- (+ C (* 1/2 (/ (pow (- A C) 2) B))) A) B)) 1))) |
(neg.f64 (fma.f64 B (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) B) (-.f64 C A)) (neg.f64 B)) (neg.f64 B))) |
(* -1 (* B (- (* -1 (/ (- (+ C (* -1 (/ (- (* 1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) A) B)) 1))) |
(*.f64 (neg.f64 B) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 C (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 C A) (-.f64 C A)) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 A C) #s(literal 4 binary64))) (*.f64 B B))) B)) A) (neg.f64 B)))) |
| 4 460× | lower-/.f32 |
| 4 442× | lower-/.f64 |
| 4 054× | lower-*.f32 |
| 4 036× | lower-*.f64 |
| 2 180× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 545 |
| 0 | 94 | 527 |
| 1 | 305 | 503 |
| 2 | 2165 | 503 |
| 0 | 8331 | 383 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.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))) (PI.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))) |
(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 #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 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 B (*.f64 C #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 B (*.f64 C #s(literal -2 binary64))))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 B (*.f64 C #s(literal -2 binary64))))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 B (*.f64 C #s(literal -2 binary64)))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C))))) (PI.f64))) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C))))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C))))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))))) (PI.f64))) |
(/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))))) (PI.f64)) |
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 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)))) |
(PI.f64) |
(*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C))) |
#s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)) |
(-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.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))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (PI.f64))) (/.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))) (neg.f64 (PI.f64)))) |
(neg.f64 (/.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))) (neg.f64 (PI.f64)))) |
(neg.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 -180 binary64)) (PI.f64))) |
(/.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))) (PI.f64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.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) (/.f64 (/.f64 (PI.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)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (PI.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) (neg.f64 (/.f64 (PI.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) (neg.f64 (/.f64 (/.f64 (PI.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)))) #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)) #s(literal -180 binary64)) (neg.f64 (PI.f64))) |
(/.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)) #s(literal -180 binary64))) (neg.f64 (neg.f64 (PI.f64)))) |
(/.f64 (*.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))) #s(literal 1 binary64)) (PI.f64)) |
(/.f64 (/.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))) #s(literal 1 binary64)) (PI.f64)) |
(/.f64 (/.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))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(/.f64 (/.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))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(/.f64 (neg.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)) #s(literal -180 binary64)))) (neg.f64 (neg.f64 (neg.f64 (PI.f64))))) |
(/.f64 (neg.f64 (*.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))) #s(literal 1 binary64))) (neg.f64 (PI.f64))) |
(/.f64 (neg.f64 (/.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))) #s(literal 1 binary64))) (neg.f64 (PI.f64))) |
(/.f64 (neg.f64 (/.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))) (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 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B))) (sqrt.f64 (PI.f64)))) (neg.f64 (sqrt.f64 (PI.f64)))) |
(pow.f64 (/.f64 (PI.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)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (PI.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)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.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 (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 (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 #s(literal 1 binary64) (PI.f64)))) |
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(/.f64 (*.f64 (+.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)))) (+.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)))) |
(/.f64 (*.f64 (+.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)))) (-.f64 (-.f64 C A) (neg.f64 #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)) (*.f64 #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)))))) (fma.f64 #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)) (+.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) (*.f64 (-.f64 C A) (-.f64 C A)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))))) (+.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)) (*.f64 #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)))))) (neg.f64 (fma.f64 #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)) (+.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) (*.f64 (-.f64 C A) (-.f64 C A))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)) (*.f64 #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)))))) (neg.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (-.f64 (*.f64 #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) (*.f64 (-.f64 C A) (neg.f64 #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)))))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))))) (neg.f64 (+.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))))) (neg.f64 (-.f64 (-.f64 C A) (neg.f64 #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)))))) |
(/.f64 (-.f64 (*.f64 C (*.f64 C C)) (*.f64 (+.f64 A #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) (*.f64 (+.f64 A #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) (+.f64 A #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)))))) (fma.f64 C C (fma.f64 (+.f64 A #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) (+.f64 A #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) (*.f64 C (+.f64 A #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))))))) |
(/.f64 (-.f64 (*.f64 C C) (*.f64 (+.f64 A #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) (+.f64 A #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))))) (+.f64 C (+.f64 A #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (fma.f64 #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)) (+.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) (*.f64 (-.f64 C A) (-.f64 C A)))) (*.f64 (fma.f64 #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)) (+.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)) (*.f64 #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)))))) (*.f64 (fma.f64 #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)) (+.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) (*.f64 (-.f64 C A) (-.f64 C A))) (fma.f64 #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)) (+.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) (*.f64 (-.f64 C A) (-.f64 C A))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (+.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)))) (*.f64 (+.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) (*.f64 #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))))) (*.f64 (+.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) (+.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)) (*.f64 #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))))))) (neg.f64 (fma.f64 #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)) (+.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) (*.f64 (-.f64 C A) (-.f64 C A))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)))))) (neg.f64 (+.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)) (*.f64 #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)) (+.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) (*.f64 (-.f64 C A) (-.f64 C A)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)))))) (neg.f64 (neg.f64 (+.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 C (*.f64 C C)) (*.f64 (+.f64 A #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) (*.f64 (+.f64 A #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) (+.f64 A #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))))))) (neg.f64 (fma.f64 C C (fma.f64 (+.f64 A #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) (+.f64 A #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) (*.f64 C (+.f64 A #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 C C) (*.f64 (+.f64 A #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) (+.f64 A #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)))))) (neg.f64 (+.f64 C (+.f64 A #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)))))) |
(pow.f64 (/.f64 (fma.f64 #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)) (+.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) (*.f64 (-.f64 C A) (-.f64 C A))) (-.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)) (*.f64 #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) (*.f64 (+.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)))) |
(*.f64 (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) #s(literal 1 binary64)) |
(*.f64 (-.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)) (*.f64 #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)) (+.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) (*.f64 (-.f64 C A) (-.f64 C A))))) |
(*.f64 (*.f64 (+.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))) (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))))) |
Compiled 46 120 to 4 364 computations (90.5% saved)
29 alts after pruning (23 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 652 | 15 | 1 667 |
| Fresh | 7 | 8 | 15 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 661 | 29 | 1 690 |
| Status | Accuracy | Program |
|---|---|---|
| 26.2% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) (/.f64 #s(literal 0 binary64) B))))) (PI.f64)) | |
| ▶ | 23.8% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))) (PI.f64)) |
| ▶ | 49.7% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (PI.f64)) |
| 48.9% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))))) (PI.f64)) | |
| ▶ | 21.0% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) #s(literal 1 binary64)))) (PI.f64)) |
| 26.2% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 B (*.f64 C #s(literal -2 binary64)))))) (PI.f64)) | |
| 37.7% | (/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))))))) | |
| 26.3% | (/.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 B (*.f64 C #s(literal -2 binary64)))))))) | |
| 21.9% | (*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 C #s(literal 2 binary64)) B))) (PI.f64)) #s(literal 180 binary64)) | |
| 23.9% | (*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) #s(literal 180 binary64)) | |
| ✓ | 26.1% | (*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 B (*.f64 C #s(literal -2 binary64))))) (PI.f64)) #s(literal 180 binary64)) |
| 48.9% | (*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) #s(literal 180 binary64)) | |
| 26.0% | (*.f64 (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 B (*.f64 C #s(literal -2 binary64))))) (cbrt.f64 (PI.f64)))) | |
| 26.2% | (*.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 B (*.f64 C #s(literal -2 binary64)))))) (/.f64 #s(literal 1 binary64) (PI.f64))) | |
| 26.2% | (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 B (*.f64 C #s(literal -2 binary64))))) (/.f64 #s(literal 180 binary64) (PI.f64))) | |
| ▶ | 38.1% | (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 180 binary64))) |
| ✓ | 77.2% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64))) |
| 26.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64)))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))) | |
| 35.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (fma.f64 #s(literal 2 binary64) (-.f64 C A) (*.f64 #s(literal -1/2 binary64) (*.f64 B (/.f64 B (-.f64 A C))))) B))) (PI.f64))) | |
| ✓ | 21.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal -2 binary64) A) B))) (PI.f64))) |
| 26.3% | (*.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 C B)))) (PI.f64))) | |
| 26.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (+ (* -1/2 (+ (* B (/ A (* C C))) (/ B C))) 0) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 B (+.f64 A C))) (*.f64 C C))))) (PI.f64))) | |
| ✓ | 13.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) |
| ✓ | 22.7% | (*.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))) |
| 37.7% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 A C) (*.f64 B #s(literal 1/2 binary64)))))) (PI.f64))) | |
| 25.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) (*.f64 (+.f64 C A) (-.f64 A C))) (+.f64 C A)))) (PI.f64))) | |
| 37.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C))))) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) | |
| ✓ | 38.0% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C))))) (PI.f64))) |
| ▶ | 37.7% | (*.f64 #s(literal 180 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64)))))))) |
Compiled 871 to 658 computations (24.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64)))))) | |
| cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64)))))))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))))))) | |
| cost-diff | 0 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))))) | |
| cost-diff | 0 | (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 180 binary64))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 180 binary64)) | |
| cost-diff | 0 | (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) | |
| cost-diff | 0 | (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))) (PI.f64)) | |
| cost-diff | 128 | (/.f64 (*.f64 B #s(literal 1/2 binary64)) A) | |
| cost-diff | 0 | #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) #s(literal 1 binary64)) | |
| cost-diff | 0 | (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) #s(literal 1 binary64)))) (PI.f64)) | |
| cost-diff | 0 | #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) | |
| cost-diff | 0 | (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) | |
| cost-diff | 0 | (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (PI.f64)) |
| 5 504× | lower-fma.f64 |
| 5 504× | lower-fma.f32 |
| 1 548× | lower-*.f32 |
| 1 532× | lower-*.f64 |
| 1 112× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 644 |
| 0 | 71 | 638 |
| 1 | 116 | 622 |
| 2 | 196 | 620 |
| 3 | 396 | 620 |
| 4 | 932 | 620 |
| 5 | 1784 | 620 |
| 6 | 2979 | 620 |
| 7 | 4610 | 620 |
| 8 | 5562 | 620 |
| 9 | 5895 | 620 |
| 10 | 5944 | 620 |
| 11 | 5950 | 620 |
| 12 | 5987 | 620 |
| 13 | 6249 | 620 |
| 14 | 6449 | 620 |
| 15 | 6497 | 620 |
| 16 | 6548 | 620 |
| 17 | 6548 | 620 |
| 18 | 6548 | 620 |
| 0 | 6548 | 480 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) |
#s(literal 180 binary64) |
(atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) |
#s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.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 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) #s(literal 1 binary64)))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) #s(literal 1 binary64)))) |
#s(literal 180 binary64) |
(atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) #s(literal 1 binary64))) |
#s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(PI.f64) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))) |
#s(literal 180 binary64) |
(atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) |
#s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
(/.f64 (*.f64 B #s(literal 1/2 binary64)) A) |
(*.f64 B #s(literal 1/2 binary64)) |
B |
#s(literal 1/2 binary64) |
A |
(PI.f64) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 180 binary64))) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64)))) |
(/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) |
B |
(*.f64 (-.f64 A C) #s(literal 2 binary64)) |
(-.f64 A C) |
A |
C |
#s(literal 2 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 180 binary64)) |
(/.f64 #s(literal 1 binary64) (PI.f64)) |
#s(literal 1 binary64) |
(PI.f64) |
#s(literal 180 binary64) |
(*.f64 #s(literal 180 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64)))))))) |
#s(literal 180 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))))))) |
#s(literal 1 binary64) |
(/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64)))))) |
(PI.f64) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64)))) |
(/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) |
B |
(*.f64 (-.f64 A C) #s(literal 2 binary64)) |
(-.f64 A C) |
A |
C |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (PI.f64)) |
(*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) |
#s(literal 180 binary64) |
(atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) |
#s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.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 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) #s(literal 1 binary64)))) (PI.f64)) |
(*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) #s(literal 1 binary64))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) #s(literal 1 binary64)))) |
#s(literal 180 binary64) |
(atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) #s(literal 1 binary64))) |
#s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(PI.f64) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))) (PI.f64)) |
(*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 B (+.f64 A A)))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))) |
(*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 B (+.f64 A A))))) |
#s(literal 180 binary64) |
(atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) |
(atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 B (+.f64 A A)))) |
#s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
#s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 B (+.f64 A A))) |
(/.f64 (*.f64 B #s(literal 1/2 binary64)) A) |
(/.f64 B (+.f64 A A)) |
(*.f64 B #s(literal 1/2 binary64)) |
B |
#s(literal 1/2 binary64) |
A |
(PI.f64) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 180 binary64))) |
(*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 B (*.f64 (-.f64 C A) #s(literal -2 binary64))))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))))) |
(atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 B (*.f64 (-.f64 C A) #s(literal -2 binary64))))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64)))) |
#s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 B (*.f64 (-.f64 C A) #s(literal -2 binary64)))) |
(/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) |
(/.f64 B (*.f64 (-.f64 C A) #s(literal -2 binary64))) |
B |
(*.f64 (-.f64 A C) #s(literal 2 binary64)) |
(*.f64 (-.f64 C A) #s(literal -2 binary64)) |
(-.f64 A C) |
A |
C |
#s(literal 2 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 180 binary64)) |
(/.f64 #s(literal 180 binary64) (PI.f64)) |
(/.f64 #s(literal 1 binary64) (PI.f64)) |
#s(literal 1 binary64) |
(PI.f64) |
#s(literal 180 binary64) |
(*.f64 #s(literal 180 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64)))))))) |
(*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 B (*.f64 (-.f64 C A) #s(literal -2 binary64))))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))))))) |
(/.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 B (*.f64 (-.f64 C A) #s(literal -2 binary64))))) (PI.f64)) |
#s(literal 1 binary64) |
(/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64)))))) |
(/.f64 (PI.f64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 B (*.f64 (-.f64 C A) #s(literal -2 binary64)))))) |
(PI.f64) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))))) |
(atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 B (*.f64 (-.f64 C A) #s(literal -2 binary64))))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64)))) |
#s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 B (*.f64 (-.f64 C A) #s(literal -2 binary64)))) |
(/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) |
(/.f64 B (*.f64 (-.f64 C A) #s(literal -2 binary64))) |
B |
(*.f64 (-.f64 A C) #s(literal 2 binary64)) |
(*.f64 (-.f64 C A) #s(literal -2 binary64)) |
(-.f64 A C) |
A |
C |
#s(literal 2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.10546875 | (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64)))))) | |
| accuracy | 0.12074103754381084 | (*.f64 #s(literal 180 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64)))))))) | |
| accuracy | 0.2426777097053462 | (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))))))) | |
| accuracy | 41.19207918350261 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64)))) | |
| accuracy | 0 | (PI.f64) | |
| accuracy | 0.015625 | (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) | |
| accuracy | 0.12870455949837764 | (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 180 binary64))) | |
| accuracy | 41.19207918350261 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64)))) | |
| accuracy | 0 | (PI.f64) | |
| accuracy | 0.07421875 | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))) (PI.f64)) | |
| accuracy | 0.12795977546004111 | (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))) | |
| accuracy | 50.81789427601984 | #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) | |
| accuracy | 0 | (PI.f64) | |
| accuracy | 0.07421875 | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) #s(literal 1 binary64)))) (PI.f64)) | |
| accuracy | 0.12795977546004111 | (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) #s(literal 1 binary64)))) | |
| accuracy | 51.81803670946627 | #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) #s(literal 1 binary64)) | |
| accuracy | 0.01953125 | (/.f64 (-.f64 C A) B) | |
| accuracy | 0.07421875 | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (PI.f64)) | |
| accuracy | 0.12795977546004111 | (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) | |
| accuracy | 43.415506948387716 | #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) |
| 43.0ms | 54× | 2 | valid |
| 42.0ms | 170× | 0 | valid |
| 13.0ms | 28× | 1 | valid |
| 4.0ms | 4× | 3 | valid |
Compiled 518 to 34 computations (93.4% saved)
ival-div: 18.0ms (26.3% of total)adjust: 13.0ms (19% of total)ival-mult: 13.0ms (19% of total)ival-hypot: 10.0ms (14.6% of total)ival-atan: 6.0ms (8.8% of total)ival-sub: 5.0ms (7.3% of total)ival-add: 2.0ms (2.9% of total)ival-pi: 1.0ms (1.5% of total)exact: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (PI.f64)) (patch (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (PI.f64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (patch (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) #<representation binary64>) () ()) |
#s(alt (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (patch (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (patch #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) #s(literal 1 binary64)))) (PI.f64)) (patch (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) #s(literal 1 binary64)))) (PI.f64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) #s(literal 1 binary64)))) (patch (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) #s(literal 1 binary64))) (patch (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) #s(literal 1 binary64)) (patch #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 B #s(literal 1/2 binary64)) A) (patch (/.f64 (*.f64 B #s(literal 1/2 binary64)) A) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))) (PI.f64)) (patch (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))) (PI.f64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))) (patch (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))) #<representation binary64>) () ()) |
#s(alt (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (patch (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 180 binary64)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 180 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 180 binary64))) (patch (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 180 binary64))) #<representation binary64>) () ()) |
#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64)))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))))))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 180 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64)))))))) (patch (*.f64 #s(literal 180 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64)))))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64)))))) (patch (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64)))))) #<representation binary64>) () ()) |
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 C A) B) (patch (/.f64 (-.f64 C A) B) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (patch #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) #<representation binary64>) () ()) |
#s(alt (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) (patch (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) (taylor 0 C) (#s(alt (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (PI.f64)) (patch (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.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 (- C A) 2))))) B)) (PI))) (taylor 0 C) (#s(alt (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (PI.f64)) (patch (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.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 (- C A) 2))))) B)) (PI))) (taylor 0 C) (#s(alt (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (PI.f64)) (patch (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.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 (- C A) 2))))) B)) (PI))) (taylor 0 C) (#s(alt (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (PI.f64)) (patch (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.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 (- C A) 2))))) B)) (PI))) (taylor inf C) (#s(alt (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (PI.f64)) (patch (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.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 (- C A) 2))))) B)) (PI))) (taylor inf C) (#s(alt (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (PI.f64)) (patch (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.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 (- C A) 2))))) B)) (PI))) (taylor inf C) (#s(alt (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (PI.f64)) (patch (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.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 (- C A) 2))))) B)) (PI))) (taylor inf C) (#s(alt (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (PI.f64)) (patch (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 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 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (PI.f64)) (patch (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 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 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (PI.f64)) (patch (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 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 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (PI.f64)) (patch (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 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 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (PI.f64)) (patch (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.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 (- C A) 2))))) B)) (PI))) (taylor 0 A) (#s(alt (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (PI.f64)) (patch (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.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 (- C A) 2))))) B)) (PI))) (taylor 0 A) (#s(alt (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (PI.f64)) (patch (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.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 (- C A) 2))))) B)) (PI))) (taylor 0 A) (#s(alt (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (PI.f64)) (patch (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.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 (- C A) 2))))) B)) (PI))) (taylor 0 A) (#s(alt (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (PI.f64)) (patch (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.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 (- C A) 2))))) B)) (PI))) (taylor inf A) (#s(alt (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (PI.f64)) (patch (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.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 (- C A) 2))))) B)) (PI))) (taylor inf A) (#s(alt (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (PI.f64)) (patch (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.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 (- C A) 2))))) B)) (PI))) (taylor inf A) (#s(alt (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (PI.f64)) (patch (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.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 (- C A) 2))))) B)) (PI))) (taylor inf A) (#s(alt (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (PI.f64)) (patch (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (PI.f64)) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) (taylor -inf A) (#s(alt (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (PI.f64)) (patch (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (PI.f64)) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) (taylor -inf A) (#s(alt (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (PI.f64)) (patch (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (PI.f64)) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) (taylor -inf A) (#s(alt (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (PI.f64)) (patch (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (PI.f64)) #<representation binary64>) () ())) ()) |
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#s(alt (* 180 (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B))) (taylor -inf A) (#s(alt (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (patch (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B))) (taylor -inf A) (#s(alt (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (patch (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B))) (taylor -inf A) (#s(alt (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (patch (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) (taylor 0 B) (#s(alt (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (patch (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) (taylor 0 B) (#s(alt (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (patch (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) (taylor 0 B) (#s(alt (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (patch (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) (taylor 0 B) (#s(alt (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (patch (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) (taylor inf B) (#s(alt (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (patch (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) (taylor inf B) (#s(alt (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (patch (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) (taylor inf B) (#s(alt (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (patch (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) (taylor inf B) (#s(alt (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (patch (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) (taylor -inf B) (#s(alt (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (patch (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) (taylor -inf B) (#s(alt (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (patch (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) (taylor -inf B) (#s(alt (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (patch (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) (taylor -inf B) (#s(alt (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (patch (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (taylor 0 C) (#s(alt (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (patch (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (taylor 0 C) (#s(alt (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (patch (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (taylor 0 C) (#s(alt (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (patch (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (taylor 0 C) (#s(alt (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (patch (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (taylor inf C) (#s(alt (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (patch (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (taylor inf C) (#s(alt (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (patch (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (taylor inf C) (#s(alt (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (patch (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (taylor inf C) (#s(alt (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (patch (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (taylor -inf C) (#s(alt (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (patch (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (taylor -inf C) (#s(alt (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (patch (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (taylor -inf C) (#s(alt (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (patch (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (taylor -inf C) (#s(alt (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (patch (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (taylor 0 A) (#s(alt (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (patch (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (taylor 0 A) (#s(alt (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (patch (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (taylor 0 A) (#s(alt (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (patch (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (taylor 0 A) (#s(alt (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (patch (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (taylor inf A) (#s(alt (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (patch (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (taylor inf A) (#s(alt (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (patch (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (taylor inf A) (#s(alt (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (patch (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (taylor inf A) (#s(alt (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (patch (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (taylor -inf A) (#s(alt (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (patch (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (taylor -inf A) (#s(alt (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (patch (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (taylor -inf A) (#s(alt (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (patch (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (taylor -inf A) (#s(alt (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (patch (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (taylor 0 B) (#s(alt (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (patch (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (taylor 0 B) (#s(alt (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (patch (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (taylor 0 B) (#s(alt (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (patch (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (taylor 0 B) (#s(alt (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (patch (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (taylor inf B) (#s(alt (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (patch (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (taylor inf A) (#s(alt (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (patch (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) #<representation binary64>) () ())) ()) |
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#s(alt (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (taylor -inf A) (#s(alt (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (patch (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) (taylor -inf C) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))))))) #<representation binary64>) () ())) ()) |
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#s(alt (* 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))))) (taylor 0 B) (#s(alt #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (patch #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) #<representation binary64>) () ())) ()) |
#s(alt (* 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))))) (taylor 0 B) (#s(alt #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (patch #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor inf B) (#s(alt #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (patch #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ C B) (+ 1 (/ A B))) (taylor inf B) (#s(alt #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (patch #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) (taylor inf B) (#s(alt #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (patch #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- C A) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) (taylor inf B) (#s(alt #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (patch #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf B) (#s(alt #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (patch #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (/ C B)) (/ A B)) (taylor -inf B) (#s(alt #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (patch #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- C A) 2) B))) B))) (taylor -inf B) (#s(alt #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (patch #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- C A) 4) (pow B 2))) (* 1/2 (pow (- C A) 2))) B))) B))) (taylor -inf B) (#s(alt #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (patch #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ B (- A C))) (taylor 0 B) (#s(alt (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) (patch (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ B (- A C))) (taylor 0 B) (#s(alt (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) (patch (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ B (- A C))) (taylor 0 B) (#s(alt (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) (patch (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ B (- A C))) (taylor 0 B) (#s(alt (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) (patch (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ B (- A C))) (taylor inf B) (#s(alt (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) (patch (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ B (- A C))) (taylor inf B) (#s(alt (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) (patch (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ B (- A C))) (taylor inf B) (#s(alt (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) (patch (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ B (- A C))) (taylor inf B) (#s(alt (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) (patch (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ B (- A C))) (taylor -inf B) (#s(alt (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) (patch (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ B (- A C))) (taylor -inf B) (#s(alt (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) (patch (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ B (- A C))) (taylor -inf B) (#s(alt (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) (patch (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ B (- A C))) (taylor -inf B) (#s(alt (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) (patch (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ B C)) (taylor 0 A) (#s(alt (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) (patch (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2)))) (taylor 0 A) (#s(alt (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) (patch (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ B C)) (* A (+ (* -1/2 (/ B (pow C 2))) (* -1/2 (/ (* A B) (pow C 3)))))) (taylor 0 A) (#s(alt (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) (patch (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ B C)) (* A (+ (* -1/2 (/ B (pow C 2))) (* A (+ (* -1/2 (/ B (pow C 3))) (* -1/2 (/ (* A B) (pow C 4)))))))) (taylor 0 A) (#s(alt (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) (patch (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ B A)) (taylor inf A) (#s(alt (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) (patch (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/2 B) (* 1/2 (/ (* B C) A))) A) (taylor inf A) (#s(alt (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) (patch (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/2 B) (+ (* 1/2 (/ (* B C) A)) (* 1/2 (/ (* B (pow C 2)) (pow A 2))))) A) (taylor inf A) (#s(alt (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) (patch (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/2 B) (+ (* 1/2 (/ (* B C) A)) (+ (* 1/2 (/ (* B (pow C 2)) (pow A 2))) (* 1/2 (/ (* B (pow C 3)) (pow A 3)))))) A) (taylor inf A) (#s(alt (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) (patch (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ B A)) (taylor -inf A) (#s(alt (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) (patch (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) (taylor -inf A) (#s(alt (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) (patch (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* B C)) (* 1/2 (/ (* B (pow C 2)) A))) A)) (* -1/2 B)) A)) (taylor -inf A) (#s(alt (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) (patch (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* B (pow C 2))) (* -1/2 (/ (* B (pow C 3)) A))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) (taylor -inf A) (#s(alt (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) (patch (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ B A)) (taylor 0 C) (#s(alt (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) (patch (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ B A)) (* 1/2 (/ (* B C) (pow A 2)))) (taylor 0 C) (#s(alt (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) (patch (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ B A)) (* C (+ (* 1/2 (/ B (pow A 2))) (* 1/2 (/ (* B C) (pow A 3)))))) (taylor 0 C) (#s(alt (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) (patch (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ B A)) (* C (+ (* 1/2 (/ B (pow A 2))) (* C (+ (* 1/2 (/ B (pow A 3))) (* 1/2 (/ (* B C) (pow A 4)))))))) (taylor 0 C) (#s(alt (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) (patch (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ B C)) (taylor inf C) (#s(alt (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) (patch (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C) (taylor inf C) (#s(alt (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) (patch (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 B) (+ (* -1/2 (/ (* A B) C)) (* -1/2 (/ (* (pow A 2) B) (pow C 2))))) C) (taylor inf C) (#s(alt (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) (patch (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 B) (+ (* -1/2 (/ (* A B) C)) (+ (* -1/2 (/ (* (pow A 2) B) (pow C 2))) (* -1/2 (/ (* (pow A 3) B) (pow C 3)))))) C) (taylor inf C) (#s(alt (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) (patch (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ B C)) (taylor -inf C) (#s(alt (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) (patch (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* 1/2 B) (* 1/2 (/ (* A B) C))) C)) (taylor -inf C) (#s(alt (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) (patch (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* A B)) (* -1/2 (/ (* (pow A 2) B) C))) C)) (* 1/2 B)) C)) (taylor -inf C) (#s(alt (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) (patch (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (pow A 2) B)) (* 1/2 (/ (* (pow A 3) B) C))) C)) (* -1/2 (* A B))) C)) (* 1/2 B)) C)) (taylor -inf C) (#s(alt (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) (patch (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
186 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | C | @ | -inf | (/ (PI) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))))) |
| 1.0ms | A | @ | inf | (/ (PI) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))))) |
| 1.0ms | A | @ | -inf | (/ (PI) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))))) |
| 1.0ms | C | @ | inf | (/ (PI) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))))) |
| 1.0ms | B | @ | -inf | (/ (PI) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))))) |
| 1× | egg-herbie |
| 14 416× | lower-fma.f64 |
| 14 416× | lower-fma.f32 |
| 6 110× | lower-*.f64 |
| 6 110× | lower-*.f32 |
| 4 472× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 438 | 14747 |
| 1 | 1245 | 14367 |
| 2 | 3731 | 14115 |
| 0 | 8406 | 11193 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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 (- 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 (* -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 (/ (- 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 (- 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 (* -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 (+ 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 (- 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 (- 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))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) 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)))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C 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))) |
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(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
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(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (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 (- 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 (- C A) 2))))) 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))) |
(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 (- 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 (* -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 (+ 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 (- 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 (- 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)) |
(* -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 (* -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))))))) |
(* 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 (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)) |
(* 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))))) |
(* 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 (- 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 |
(- (/ 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 |
(- (+ 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))) |
(* 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 (- 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 (* -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 (/ (- 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 (- 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 (* -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 (+ 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 (- 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 (- 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))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
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(* 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)))) |
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(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C 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))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
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(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
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(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (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 (- 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 (- C A) 2))))) 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))) |
(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 (- 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 (* -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 (+ 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 (- 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 (- 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)) |
(* -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 (* -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))))))) |
(* 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 (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)) |
(* 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))))) |
(* 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 (- 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 |
(- (/ 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 |
(- (+ 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))) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 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 (- 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 (* -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 (/ (- 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 (- 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 (* -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 (+ 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 (- 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 (- 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))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) 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)))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C 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))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (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 (- 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 (- C A) 2))))) 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))) |
(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 (- 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 (* -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 (+ 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 (- 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 (- 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)) |
(* 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 (- 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 (- 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 (- 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 (- C A) 2))))) 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 (/ (- 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 (- 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 (* -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 (+ 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 (- 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 (- 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 (- 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 (- 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 (* -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 (/ (- 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 (- 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 (* -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 (- 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 |
(- (/ 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 |
(- (+ 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 (/ (+ 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 (* -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))))))) |
(* 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 (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)) |
(* 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))))) |
(* 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)) |
(/ (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)) |
(/ (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)) |
(/ (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)) |
(/ (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)) |
(/ (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 (/ (- 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)) |
(/ (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 (* -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 (+ 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 (- 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 (- 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 (- 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 (* -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 (/ (- 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 (- 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 (* -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))) |
(/ (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) (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) (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) (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) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) 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 (/ (- 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) (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 (* -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))) |
(* -1 (/ A B)) |
(+ (* -1 (/ A B)) (/ C B)) |
(+ (* -1 (/ A B)) (/ C B)) |
(+ (* -1 (/ A B)) (/ C B)) |
(/ C B) |
(* C (+ (* -1 (/ A (* B C))) (/ 1 B))) |
(* C (+ (* -1 (/ A (* B C))) (/ 1 B))) |
(* C (+ (* -1 (/ A (* B C))) (/ 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)))) |
(/ C B) |
(+ (* -1 (/ A B)) (/ C B)) |
(+ (* -1 (/ A B)) (/ C B)) |
(+ (* -1 (/ A B)) (/ C B)) |
(* -1 (/ A B)) |
(* A (- (/ C (* A B)) (/ 1 B))) |
(* A (- (/ C (* A B)) (/ 1 B))) |
(* A (- (/ C (* A B)) (/ 1 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)))) |
(/ (- C A) B) |
(/ (- C A) B) |
(/ (- C A) B) |
(/ (- C A) B) |
(/ (- C A) B) |
(/ (- C A) B) |
(/ (- C A) B) |
(/ (- C A) B) |
(/ (- C A) B) |
(/ (- C A) B) |
(/ (- C A) B) |
(/ (- C A) 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 (* -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))))))) |
(* 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 (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)) |
(* 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))))) |
(* 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 (- 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 |
(- (/ 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 |
(- (+ 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))) |
(* 1/2 (/ B (- A C))) |
(* 1/2 (/ B (- A C))) |
(* 1/2 (/ B (- A C))) |
(* 1/2 (/ B (- A C))) |
(* 1/2 (/ B (- A C))) |
(* 1/2 (/ B (- A C))) |
(* 1/2 (/ B (- A C))) |
(* 1/2 (/ B (- A C))) |
(* 1/2 (/ B (- A C))) |
(* 1/2 (/ B (- A C))) |
(* 1/2 (/ B (- A C))) |
(* 1/2 (/ B (- A C))) |
(* -1/2 (/ B C)) |
(+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2)))) |
(+ (* -1/2 (/ B C)) (* A (+ (* -1/2 (/ B (pow C 2))) (* -1/2 (/ (* A B) (pow C 3)))))) |
(+ (* -1/2 (/ B C)) (* A (+ (* -1/2 (/ B (pow C 2))) (* A (+ (* -1/2 (/ B (pow C 3))) (* -1/2 (/ (* A B) (pow C 4)))))))) |
(* 1/2 (/ B A)) |
(/ (+ (* 1/2 B) (* 1/2 (/ (* B C) A))) A) |
(/ (+ (* 1/2 B) (+ (* 1/2 (/ (* B C) A)) (* 1/2 (/ (* B (pow C 2)) (pow A 2))))) A) |
(/ (+ (* 1/2 B) (+ (* 1/2 (/ (* B C) A)) (+ (* 1/2 (/ (* B (pow C 2)) (pow A 2))) (* 1/2 (/ (* B (pow C 3)) (pow A 3)))))) A) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* B C)) (* 1/2 (/ (* B (pow C 2)) A))) A)) (* -1/2 B)) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* B (pow C 2))) (* -1/2 (/ (* B (pow C 3)) A))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* 1/2 (/ B A)) |
(+ (* 1/2 (/ B A)) (* 1/2 (/ (* B C) (pow A 2)))) |
(+ (* 1/2 (/ B A)) (* C (+ (* 1/2 (/ B (pow A 2))) (* 1/2 (/ (* B C) (pow A 3)))))) |
(+ (* 1/2 (/ B A)) (* C (+ (* 1/2 (/ B (pow A 2))) (* C (+ (* 1/2 (/ B (pow A 3))) (* 1/2 (/ (* B C) (pow A 4)))))))) |
(* -1/2 (/ B C)) |
(/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C) |
(/ (+ (* -1/2 B) (+ (* -1/2 (/ (* A B) C)) (* -1/2 (/ (* (pow A 2) B) (pow C 2))))) C) |
(/ (+ (* -1/2 B) (+ (* -1/2 (/ (* A B) C)) (+ (* -1/2 (/ (* (pow A 2) B) (pow C 2))) (* -1/2 (/ (* (pow A 3) B) (pow C 3)))))) C) |
(* -1/2 (/ B C)) |
(* -1 (/ (+ (* 1/2 B) (* 1/2 (/ (* A B) C))) C)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* A B)) (* -1/2 (/ (* (pow A 2) B) C))) C)) (* 1/2 B)) C)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (pow A 2) B)) (* 1/2 (/ (* (pow A 3) B) C))) C)) (* -1/2 (* A B))) C)) (* 1/2 B)) C)) |
| Outputs |
|---|
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) 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 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) 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 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
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(* -1/2 (/ B (- C A))) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A)) |
(* B (- (* 1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A))))) |
(*.f64 B (fma.f64 B (/.f64 (*.f64 B #s(literal 1/8 binary64)) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A)))) (/.f64 #s(literal -1/2 binary64) (-.f64 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))))) |
(*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (/.f64 #s(literal -1/16 binary64) (pow.f64 (-.f64 C A) #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))))) (/.f64 #s(literal -1/2 binary64) (-.f64 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))))) |
(*.f64 B (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 #s(literal 5/128 binary64) (/.f64 (*.f64 B B) (pow.f64 (-.f64 C A) #s(literal 7 binary64))) (/.f64 #s(literal -1/16 binary64) (pow.f64 (-.f64 C A) #s(literal 5 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))))) (/.f64 #s(literal -1/2 binary64) (-.f64 C A)))) |
-1 |
#s(literal -1 binary64) |
(- (/ C B) (+ 1 (/ A B))) |
(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 C A) B)) |
(- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 B B)) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 C 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))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 B B)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 C A) #s(literal 4 binary64)) (*.f64 (*.f64 B B) (*.f64 B B))) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 C A) B)))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ C B)) (/ A B)) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- C A) 2) B))) B))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) B) (-.f64 A C)) B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- C A) 4) (pow B 2))) (* 1/2 (pow (- C A) 2))) B))) B))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 C A) (/.f64 (fma.f64 (-.f64 C A) (*.f64 (-.f64 C A) #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 (-.f64 C A) #s(literal 4 binary64)) #s(literal -1/8 binary64)) (*.f64 B B))) B)) B)) |
(* 1/2 (/ B (- A C))) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A)) |
(* 1/2 (/ B (- A C))) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A)) |
(* 1/2 (/ B (- A C))) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A)) |
(* 1/2 (/ B (- A C))) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A)) |
(* 1/2 (/ B (- A C))) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A)) |
(* 1/2 (/ B (- A C))) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A)) |
(* 1/2 (/ B (- A C))) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A)) |
(* 1/2 (/ B (- A C))) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A)) |
(* 1/2 (/ B (- A C))) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A)) |
(* 1/2 (/ B (- A C))) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A)) |
(* 1/2 (/ B (- A C))) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A)) |
(* 1/2 (/ B (- A C))) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A)) |
(* -1/2 (/ B C)) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) C) |
(+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2)))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) C) (fma.f64 A (/.f64 B C) B)) |
(+ (* -1/2 (/ B C)) (* A (+ (* -1/2 (/ B (pow C 2))) (* -1/2 (/ (* A B) (pow C 3)))))) |
(*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (+.f64 (/.f64 A C) #s(literal 1 binary64)) (/.f64 B (*.f64 C C))) A (/.f64 B C))) |
(+ (* -1/2 (/ B C)) (* A (+ (* -1/2 (/ B (pow C 2))) (* A (+ (* -1/2 (/ B (pow C 3))) (* -1/2 (/ (* A B) (pow C 4)))))))) |
(fma.f64 A (*.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 (/.f64 A C) #s(literal 1 binary64)) (/.f64 B (*.f64 C C)) (/.f64 (*.f64 A (*.f64 A B)) (pow.f64 C #s(literal 4 binary64))))) (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) |
(* 1/2 (/ B A)) |
(/.f64 (*.f64 B #s(literal 1/2 binary64)) A) |
(/ (+ (* 1/2 B) (* 1/2 (/ (* B C) A))) A) |
(/.f64 (*.f64 B (fma.f64 (/.f64 C A) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) A) |
(/ (+ (* 1/2 B) (+ (* 1/2 (/ (* B C) A)) (* 1/2 (/ (* B (pow C 2)) (pow A 2))))) A) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 B A) (fma.f64 C (/.f64 C A) C) B) A)) |
(/ (+ (* 1/2 B) (+ (* 1/2 (/ (* B C) A)) (+ (* 1/2 (/ (* B (pow C 2)) (pow A 2))) (* 1/2 (/ (* B (pow C 3)) (pow A 3)))))) A) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 B (fma.f64 (/.f64 C (*.f64 A A)) (+.f64 C (/.f64 (*.f64 C C) A)) (/.f64 C A)) B)) A) |
(* 1/2 (/ B A)) |
(/.f64 (*.f64 B #s(literal 1/2 binary64)) A) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(/.f64 (*.f64 B (fma.f64 (/.f64 C A) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) A) |
(* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* B C)) (* 1/2 (/ (* B (pow C 2)) A))) A)) (* -1/2 B)) A)) |
(/.f64 (fma.f64 B #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 B (fma.f64 C (/.f64 C A) C))) A)) (neg.f64 A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* B (pow C 2))) (* -1/2 (/ (* B (pow C 3)) A))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(/.f64 (-.f64 (*.f64 B #s(literal -1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 B (*.f64 C (+.f64 C (/.f64 (*.f64 C C) A)))) A) (*.f64 #s(literal 1/2 binary64) (*.f64 C B))) A)) (neg.f64 A)) |
(* 1/2 (/ B A)) |
(/.f64 (*.f64 B #s(literal 1/2 binary64)) A) |
(+ (* 1/2 (/ B A)) (* 1/2 (/ (* B C) (pow A 2)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) A) (fma.f64 C (/.f64 B A) B)) |
(+ (* 1/2 (/ B A)) (* C (+ (* 1/2 (/ B (pow A 2))) (* 1/2 (/ (* B C) (pow A 3)))))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (+.f64 (/.f64 C A) #s(literal 1 binary64)) (/.f64 B (*.f64 A A))) C (/.f64 B A))) |
(+ (* 1/2 (/ B A)) (* C (+ (* 1/2 (/ B (pow A 2))) (* C (+ (* 1/2 (/ B (pow A 3))) (* 1/2 (/ (* B C) (pow A 4)))))))) |
(fma.f64 C (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 C A) #s(literal 1 binary64)) (/.f64 B (*.f64 A A)) (*.f64 (/.f64 (*.f64 C B) (pow.f64 A #s(literal 4 binary64))) C))) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
(* -1/2 (/ B C)) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) C) |
(/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 A (/.f64 B C) B)) C) |
(/ (+ (* -1/2 B) (+ (* -1/2 (/ (* A B) C)) (* -1/2 (/ (* (pow A 2) B) (pow C 2))))) C) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 B C) (+.f64 A (/.f64 (*.f64 A A) C)) B)) C) |
(/ (+ (* -1/2 B) (+ (* -1/2 (/ (* A B) C)) (+ (* -1/2 (/ (* (pow A 2) B) (pow C 2))) (* -1/2 (/ (* (pow A 3) B) (pow C 3)))))) C) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 A A) (*.f64 (+.f64 (/.f64 A C) #s(literal 1 binary64)) (/.f64 B (*.f64 C C))) (fma.f64 A (/.f64 B C) B))) C) |
(* -1/2 (/ B C)) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) C) |
(* -1 (/ (+ (* 1/2 B) (* 1/2 (/ (* A B) C))) C)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 A (/.f64 B C) B)) C) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* A B)) (* -1/2 (/ (* (pow A 2) B) C))) C)) (* 1/2 B)) C)) |
(/.f64 (fma.f64 B #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 A (fma.f64 A (/.f64 B C) B)) C))) (neg.f64 C)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (pow A 2) B)) (* 1/2 (/ (* (pow A 3) B) C))) C)) (* -1/2 (* A B))) C)) (* 1/2 B)) C)) |
(/.f64 (-.f64 (*.f64 B #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 A (*.f64 A (fma.f64 A (/.f64 B C) B))) C) (*.f64 A (*.f64 B #s(literal -1/2 binary64)))) C)) (neg.f64 C)) |
| 4 972× | lower-*.f32 |
| 4 956× | lower-*.f64 |
| 4 544× | lower-/.f32 |
| 4 526× | lower-/.f64 |
| 3 218× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 521 |
| 0 | 71 | 467 |
| 1 | 251 | 465 |
| 2 | 1766 | 465 |
| 0 | 8565 | 375 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) |
(atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) |
#s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) #s(literal 1 binary64)))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) #s(literal 1 binary64)))) |
(atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) #s(literal 1 binary64))) |
#s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) #s(literal 1 binary64)) |
(/.f64 (*.f64 B #s(literal 1/2 binary64)) A) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))) |
(atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 180 binary64)) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 180 binary64))) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))))))) |
(*.f64 #s(literal 180 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64)))))))) |
(/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64)))))) |
(PI.f64) |
(/.f64 (-.f64 C A) B) |
#s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
(/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (PI.f64))) (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) #s(literal -180 binary64)) (PI.f64))) |
(neg.f64 (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) #s(literal -180 binary64)) (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 (+ (* (- C A) (- C A)) (* B B))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (PI.f64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))))))) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) #s(literal -180 binary64)) (neg.f64 (PI.f64))) |
(/.f64 (neg.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) #s(literal -180 binary64))) (neg.f64 (neg.f64 (PI.f64)))) |
(/.f64 (*.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) #s(literal 1 binary64)) (PI.f64)) |
(/.f64 (*.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) #s(literal -1 binary64)) (neg.f64 (PI.f64))) |
(/.f64 (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) #s(literal 1 binary64)) (PI.f64)) |
(/.f64 (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (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 (+ (* (- C A) (- C A)) (* B B))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) #s(literal -180 binary64)))) (neg.f64 (neg.f64 (neg.f64 (PI.f64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) #s(literal 1 binary64))) (neg.f64 (PI.f64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) #s(literal -1 binary64))) (neg.f64 (neg.f64 (PI.f64)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) #s(literal 1 binary64))) (neg.f64 (PI.f64))) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (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 (+ (* (- C A) (- C A)) (* B B))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (sqrt.f64 (PI.f64)))) (neg.f64 (sqrt.f64 (PI.f64)))) |
(pow.f64 (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))))) #s(literal -1 binary64)) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 A C) #s(literal 2 binary64)) B))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 (-.f64 A C) #s(literal 2 binary64)) B) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (/.f64 B (-.f64 A C))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 A C) #s(literal 2 binary64)) B)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (-.f64 A C) #s(literal 2 binary64)) B) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 B (-.f64 A C)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 (-.f64 A C) #s(literal 2 binary64)) B)))) |
(/.f64 (neg.f64 B) (*.f64 (-.f64 A C) #s(literal -2 binary64))) |
(/.f64 (/.f64 B (-.f64 A C)) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (neg.f64 B)) (neg.f64 (*.f64 (-.f64 A C) #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (/.f64 B (-.f64 A C))) #s(literal -2 binary64)) |
(/.f64 (/.f64 B #s(literal 2 binary64)) (-.f64 A C)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 B))) (neg.f64 (neg.f64 (*.f64 (-.f64 A C) #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 B (-.f64 A C)))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (/.f64 B #s(literal 2 binary64))) (neg.f64 (-.f64 A C))) |
(pow.f64 (/.f64 (*.f64 (-.f64 A C) #s(literal 2 binary64)) B) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 (-.f64 A C) #s(literal 2 binary64)) B) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 B (-.f64 A C))) #s(literal -1 binary64)) |
(*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C))) |
(*.f64 #s(literal 1 binary64) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 B (-.f64 A C))) |
(*.f64 (neg.f64 B) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 A C) #s(literal -2 binary64)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 A C)) B) |
(*.f64 (/.f64 B (-.f64 A C)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 B (neg.f64 (-.f64 A C)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 A C)) (/.f64 B #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 A C)) (pow.f64 (/.f64 #s(literal 2 binary64) B) #s(literal -1 binary64))) |
(*.f64 (/.f64 B #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 A C))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 A C)) (/.f64 B #s(literal -2 binary64))) |
Compiled 35 217 to 2 902 computations (91.8% saved)
30 alts after pruning (25 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 669 | 9 | 1 678 |
| Fresh | 2 | 16 | 18 |
| Picked | 3 | 2 | 5 |
| Done | 3 | 3 | 6 |
| Total | 1 677 | 30 | 1 707 |
| Status | Accuracy | Program |
|---|---|---|
| 26.2% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64))))) (PI.f64)) | |
| ✓ | 23.8% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))) (PI.f64)) |
| 24.7% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 #s(literal 1 binary64) (/.f64 A (*.f64 B #s(literal 1/2 binary64))))))) (PI.f64)) | |
| 38.8% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 #s(approx (/ (- C A) B) (/.f64 C B)) #s(literal -1 binary64))))) (PI.f64)) | |
| 39.3% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 #s(approx (/ (- C A) B) (/.f64 A (neg.f64 B))) #s(literal -1 binary64))))) (PI.f64)) | |
| 48.9% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))))) (PI.f64)) | |
| ✓ | 21.0% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) #s(literal 1 binary64)))) (PI.f64)) |
| 26.2% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 B (*.f64 C #s(literal -2 binary64)))))) (PI.f64)) | |
| 37.7% | (/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))))))) | |
| 37.7% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64)))))) #s(literal 180 binary64))) | |
| 26.3% | (/.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 B (*.f64 C #s(literal -2 binary64)))))))) | |
| 49.7% | (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))))) | |
| 21.9% | (*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 C #s(literal 2 binary64)) B))) (PI.f64)) #s(literal 180 binary64)) | |
| 23.9% | (*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) #s(literal 180 binary64)) | |
| ✓ | 26.1% | (*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 B (*.f64 C #s(literal -2 binary64))))) (PI.f64)) #s(literal 180 binary64)) |
| 48.9% | (*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) #s(literal 180 binary64)) | |
| 26.0% | (*.f64 (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 B (*.f64 C #s(literal -2 binary64))))) (cbrt.f64 (PI.f64)))) | |
| 38.1% | (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64)))))) | |
| 26.2% | (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 B (*.f64 C #s(literal -2 binary64))))) (/.f64 #s(literal 180 binary64) (PI.f64))) | |
| 23.9% | (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (/.f64 #s(literal 180 binary64) (PI.f64))) | |
| 26.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64)))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))) | |
| 35.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (fma.f64 #s(literal 2 binary64) (-.f64 C A) (*.f64 #s(literal -1/2 binary64) (*.f64 B (/.f64 B (-.f64 A C))))) B))) (PI.f64))) | |
| 26.3% | (*.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 C B)))) (PI.f64))) | |
| 26.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (+ (* -1/2 (+ (* B (/ A (* C C))) (/ B C))) 0) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 B (+.f64 A C))) (*.f64 C C))))) (PI.f64))) | |
| ✓ | 13.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) |
| ✓ | 22.7% | (*.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))) |
| 37.7% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 A C) (*.f64 B #s(literal 1/2 binary64)))))) (PI.f64))) | |
| 25.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) (*.f64 (+.f64 C A) (-.f64 A C))) (+.f64 C A)))) (PI.f64))) | |
| 37.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C))))) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) | |
| 24.6% | (*.f64 #s(literal 180 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))))) |
Compiled 1 266 to 619 computations (51.1% 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 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) #s(literal 1 binary64)))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.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 #s(literal 2 binary64) (/.f64 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 #s(literal -2 binary64) A) 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 #s(literal 2 binary64) 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 B #s(literal 1/2 binary64)) A))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (/.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 B (*.f64 C #s(literal -2 binary64))))) (/.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 B (*.f64 C #s(literal -2 binary64))))) (PI.f64)) #s(literal 180 binary64)) |
(*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) #s(literal 180 binary64)) |
(*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 C #s(literal 2 binary64)) B))) (PI.f64)) #s(literal 180 binary64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 B (*.f64 C #s(literal -2 binary64)))))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 #s(approx (/ (- C A) B) (/.f64 A (neg.f64 B))) #s(literal -1 binary64))))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) 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 #s(literal 1 binary64) (/.f64 (-.f64 C A) 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))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64)))) (PI.f64))) |
(*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) #s(literal 180 binary64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64))))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C))))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64)))))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 B (*.f64 C #s(literal -2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 180 binary64))) |
(*.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 B (*.f64 C #s(literal -2 binary64)))))) (/.f64 #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 #s(literal -1/2 binary64) (/.f64 C B)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 180 binary64))) |
(/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))))))) |
(*.f64 #s(literal 180 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))))) |
(/.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 B (*.f64 C #s(literal -2 binary64)))))))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 #s(literal 1 binary64) (/.f64 A (*.f64 B #s(literal 1/2 binary64))))))) (PI.f64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) (/.f64 #s(literal 0 binary64) 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))))) #s(approx (+ (* -1/2 (+ (* B (/ A (* C C))) (/ B C))) 0) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 B (+.f64 A C))) (*.f64 C C))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64)))))))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 A C) (*.f64 B #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 #s(literal 1/2 binary64) (fma.f64 B (/.f64 C A) B)) A))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) (*.f64 (+.f64 C A) (-.f64 A C))) (+.f64 C A)))) (PI.f64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64)))))) #s(literal 180 binary64))) |
(*.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 (*.f64 B B) #s(literal -1/2 binary64)) C)))) (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 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) (-.f64 C A))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C))))) (*.f64 (sqrt.f64 (PI.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 (fma.f64 #s(literal 2 binary64) (-.f64 C A) (*.f64 #s(literal -1/2 binary64) (*.f64 B (/.f64 B (-.f64 A C))))) B))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) (PI.f64)) |
(/.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))) (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 C (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 B C) (/.f64 (*.f64 #s(literal -2 binary64) A) B)) C) (/.f64 #s(literal 2 binary64) 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))))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64)))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 B (*.f64 C #s(literal -2 binary64))))) (cbrt.f64 (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) (hypot.f64 (-.f64 C A) B)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64))) |
7 calls:
| 19.0ms | B |
| 18.0ms | (*.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))) |
| 18.0ms | A |
| 16.0ms | (*.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)))))) |
| 16.0ms | C |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.7% | 2 | A |
| 77.2% | 1 | B |
| 83.3% | 2 | C |
| 89.6% | 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))) |
| 89.6% | 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)) |
| 89.6% | 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))))))) |
| 89.6% | 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 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) #s(literal 1 binary64)))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.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 #s(literal 2 binary64) (/.f64 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 #s(literal -2 binary64) A) 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 #s(literal 2 binary64) 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 B #s(literal 1/2 binary64)) A))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (/.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 B (*.f64 C #s(literal -2 binary64))))) (/.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 B (*.f64 C #s(literal -2 binary64))))) (PI.f64)) #s(literal 180 binary64)) |
(*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) #s(literal 180 binary64)) |
(*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 C #s(literal 2 binary64)) B))) (PI.f64)) #s(literal 180 binary64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 B (*.f64 C #s(literal -2 binary64)))))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 #s(approx (/ (- C A) B) (/.f64 A (neg.f64 B))) #s(literal -1 binary64))))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) 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 #s(literal 1 binary64) (/.f64 (-.f64 C A) 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))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64)))) (PI.f64))) |
(*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) #s(literal 180 binary64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64))))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C))))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64)))))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 B (*.f64 C #s(literal -2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 180 binary64))) |
(*.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 B (*.f64 C #s(literal -2 binary64)))))) (/.f64 #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 #s(literal -1/2 binary64) (/.f64 C B)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 180 binary64))) |
(/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))))))) |
(*.f64 #s(literal 180 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))))) |
(/.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 B (*.f64 C #s(literal -2 binary64)))))))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 #s(literal 1 binary64) (/.f64 A (*.f64 B #s(literal 1/2 binary64))))))) (PI.f64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) (/.f64 #s(literal 0 binary64) 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))))) #s(approx (+ (* -1/2 (+ (* B (/ A (* C C))) (/ B C))) 0) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 B (+.f64 A C))) (*.f64 C C))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64)))))))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 A C) (*.f64 B #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 #s(literal 1/2 binary64) (fma.f64 B (/.f64 C A) B)) A))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) (*.f64 (+.f64 C A) (-.f64 A C))) (+.f64 C A)))) (PI.f64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64)))))) #s(literal 180 binary64))) |
(*.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 (*.f64 B B) #s(literal -1/2 binary64)) C)))) (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 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) (-.f64 C A))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C))))) (*.f64 (sqrt.f64 (PI.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 (fma.f64 #s(literal 2 binary64) (-.f64 C A) (*.f64 #s(literal -1/2 binary64) (*.f64 B (/.f64 B (-.f64 A C))))) B))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) (PI.f64)) |
(/.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))) (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 C (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 B C) (/.f64 (*.f64 #s(literal -2 binary64) A) B)) C) (/.f64 #s(literal 2 binary64) 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))))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64)))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (+.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 (+ (* (- C A) (- C A)) (* B B))))) (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C))))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))))) (PI.f64)) |
6 calls:
| 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)) |
| 15.0ms | (*.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)))))) |
| 15.0ms | A |
| 15.0ms | C |
| 14.0ms | (*.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 |
|---|---|---|
| 68.7% | 3 | A |
| 69.3% | 2 | C |
| 80.7% | 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))) |
| 80.7% | 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)) |
| 80.7% | 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))))))) |
| 80.7% | 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 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 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) #s(literal 1 binary64)))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.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 #s(literal 2 binary64) (/.f64 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 #s(literal -2 binary64) A) 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 #s(literal 2 binary64) 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 B #s(literal 1/2 binary64)) A))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (/.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 B (*.f64 C #s(literal -2 binary64))))) (/.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 B (*.f64 C #s(literal -2 binary64))))) (PI.f64)) #s(literal 180 binary64)) |
(*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) #s(literal 180 binary64)) |
(*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 C #s(literal 2 binary64)) B))) (PI.f64)) #s(literal 180 binary64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 B (*.f64 C #s(literal -2 binary64)))))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 #s(approx (/ (- C A) B) (/.f64 A (neg.f64 B))) #s(literal -1 binary64))))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) 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 #s(literal 1 binary64) (/.f64 (-.f64 C A) 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))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64)))) (PI.f64))) |
(*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) #s(literal 180 binary64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64))))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C))))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64)))))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 B (*.f64 C #s(literal -2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 180 binary64))) |
(*.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 B (*.f64 C #s(literal -2 binary64)))))) (/.f64 #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 #s(literal -1/2 binary64) (/.f64 C B)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) #s(approx (sqrt (+ (pow (- A C) 2) (pow B 2))) (neg.f64 B))))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 180 binary64))) |
(/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 B (*.f64 (-.f64 A C) #s(literal 2 binary64))))))) |
(*.f64 #s(literal 180 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))))) |
(/.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 B (*.f64 C #s(literal -2 binary64)))))))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 #s(literal 1 binary64) (/.f64 A (*.f64 B #s(literal 1/2 binary64))))))) (PI.f64)) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.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 (+ (* (- C A) (- C A)) (* B B))))) (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C))))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))))) (PI.f64)) |
4 calls:
| 12.0ms | (/.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)) |
| 11.0ms | (*.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)))))) |
| 9.0ms | (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 | (*.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 |
|---|---|---|
| 80.7% | 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))) |
| 80.7% | 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)) |
| 80.7% | 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))))))) |
| 80.7% | 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 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) #s(literal 1 binary64)))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.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 #s(literal 2 binary64) (/.f64 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 #s(literal -2 binary64) A) 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 #s(literal 2 binary64) 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 B #s(literal 1/2 binary64)) A))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (/.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 B (*.f64 C #s(literal -2 binary64))))) (/.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 B (*.f64 C #s(literal -2 binary64))))) (PI.f64)) #s(literal 180 binary64)) |
(*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) #s(literal 180 binary64)) |
(*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 C #s(literal 2 binary64)) B))) (PI.f64)) #s(literal 180 binary64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 B (*.f64 C #s(literal -2 binary64)))))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 #s(approx (/ (- C A) B) (/.f64 A (neg.f64 B))) #s(literal -1 binary64))))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) 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 #s(literal 1 binary64) (/.f64 (-.f64 C A) 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))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64)))) (PI.f64))) |
(*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) #s(literal 180 binary64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64))))) (PI.f64)) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.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))))) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))))) (PI.f64)) |
5 calls:
| 19.0ms | (/.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 | B |
| 6.0ms | (*.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 #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))) |
| 6.0ms | (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 |
|---|---|---|
| 69.6% | 3 | B |
| 75.3% | 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))) |
| 75.3% | 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)) |
| 75.3% | 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))))))) |
| 75.3% | 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 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 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) #s(literal 1 binary64)))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.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 #s(literal 2 binary64) (/.f64 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 #s(literal -2 binary64) A) 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 #s(literal 2 binary64) 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 B #s(literal 1/2 binary64)) A))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (/.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 B (*.f64 C #s(literal -2 binary64))))) (/.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 B (*.f64 C #s(literal -2 binary64))))) (PI.f64)) #s(literal 180 binary64)) |
(*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) #s(literal 180 binary64)) |
(*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 C #s(literal 2 binary64)) B))) (PI.f64)) #s(literal 180 binary64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 B (*.f64 C #s(literal -2 binary64)))))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 #s(approx (/ (- C A) B) (/.f64 A (neg.f64 B))) #s(literal -1 binary64))))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) 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 #s(literal 1 binary64) (/.f64 (-.f64 C A) 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))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64)))) (PI.f64))) |
(*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) #s(literal 180 binary64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))))) (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))))) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))))) (PI.f64)) |
4 calls:
| 13.0ms | (/.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)) |
| 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))) |
| 6.0ms | (*.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 | (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 |
|---|---|---|
| 75.3% | 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))) |
| 75.3% | 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)) |
| 75.3% | 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))))))) |
| 75.3% | 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 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) #s(literal 1 binary64)))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.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 #s(literal 2 binary64) (/.f64 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 #s(literal -2 binary64) A) 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 #s(literal 2 binary64) 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 B #s(literal 1/2 binary64)) A))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (/.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 B (*.f64 C #s(literal -2 binary64))))) (/.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 B (*.f64 C #s(literal -2 binary64))))) (PI.f64)) #s(literal 180 binary64)) |
(*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) #s(literal 180 binary64)) |
(*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 C #s(literal 2 binary64)) B))) (PI.f64)) #s(literal 180 binary64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 B (*.f64 C #s(literal -2 binary64)))))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 #s(approx (/ (- C A) B) (/.f64 A (neg.f64 B))) #s(literal -1 binary64))))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) 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 #s(literal 1 binary64) (/.f64 (-.f64 C A) 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))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64)))) (PI.f64))) |
(*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) #s(literal 180 binary64)) |
| 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))))) (/.f64 (*.f64 B #s(literal 1/2 binary64)) 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 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64))) |
4 calls:
| 8.0ms | (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))))))) |
| 6.0ms | (*.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)) |
| 5.0ms | (*.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 |
|---|---|---|
| 75.3% | 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))) |
| 75.3% | 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)) |
| 75.3% | 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))))))) |
| 75.3% | 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 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) #s(literal 1 binary64)))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.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 #s(literal 2 binary64) (/.f64 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 #s(literal -2 binary64) A) 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 #s(literal 2 binary64) 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 B #s(literal 1/2 binary64)) A))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (/.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 B (*.f64 C #s(literal -2 binary64))))) (/.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 B (*.f64 C #s(literal -2 binary64))))) (PI.f64)) #s(literal 180 binary64)) |
(*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) #s(literal 180 binary64)) |
(*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 C #s(literal 2 binary64)) B))) (PI.f64)) #s(literal 180 binary64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 B (*.f64 C #s(literal -2 binary64)))))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 #s(approx (/ (- C A) B) (/.f64 A (neg.f64 B))) #s(literal -1 binary64))))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) 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 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64))) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.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 B #s(literal 1/2 binary64)) 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 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64))) |
5 calls:
| 8.0ms | C |
| 8.0ms | (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))))))) |
| 5.0ms | (*.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))) |
| 5.0ms | (*.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)))))) |
| 5.0ms | (/.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 |
|---|---|---|
| 65.0% | 3 | C |
| 70.2% | 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))) |
| 70.2% | 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)) |
| 70.2% | 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))))))) |
| 70.2% | 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 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 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) #s(literal 1 binary64)))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.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 #s(literal 2 binary64) (/.f64 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 #s(literal -2 binary64) A) 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 #s(literal 2 binary64) 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 B #s(literal 1/2 binary64)) A))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (/.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 B (*.f64 C #s(literal -2 binary64))))) (/.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 B (*.f64 C #s(literal -2 binary64))))) (PI.f64)) #s(literal 180 binary64)) |
(*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) #s(literal 180 binary64)) |
(*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 C #s(literal 2 binary64)) B))) (PI.f64)) #s(literal 180 binary64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 B (*.f64 C #s(literal -2 binary64)))))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 #s(approx (/ (- C A) B) (/.f64 A (neg.f64 B))) #s(literal -1 binary64))))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))) (PI.f64)) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 #s(approx (/ (- C A) B) (/.f64 C B)) #s(literal -1 binary64))))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 #s(approx (/ (- C A) B) (/.f64 A (neg.f64 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 B (*.f64 C #s(literal -2 binary64))))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
7 calls:
| 10.0ms | B |
| 6.0ms | A |
| 5.0ms | C |
| 5.0ms | (*.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)))))) |
| 5.0ms | (*.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 |
|---|---|---|
| 61.9% | 3 | C |
| 58.6% | 3 | A |
| 62.5% | 6 | B |
| 59.5% | 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))) |
| 59.5% | 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)) |
| 59.5% | 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))))))) |
| 59.5% | 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 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) #s(literal 1 binary64)))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.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 #s(literal 2 binary64) (/.f64 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 #s(literal -2 binary64) A) 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 #s(literal 2 binary64) 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 B #s(literal 1/2 binary64)) A))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (/.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 B (*.f64 C #s(literal -2 binary64))))) (/.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 B (*.f64 C #s(literal -2 binary64))))) (PI.f64)) #s(literal 180 binary64)) |
(*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) #s(literal 180 binary64)) |
(*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 C #s(literal 2 binary64)) B))) (PI.f64)) #s(literal 180 binary64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 B (*.f64 C #s(literal -2 binary64)))))) (PI.f64)) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.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 B #s(literal 1/2 binary64)) 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))))) #s(literal 1 binary64))) (PI.f64))) |
2 calls:
| 7.0ms | C |
| 4.0ms | (*.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 |
|---|---|---|
| 59.5% | 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)))))) |
| 57.3% | 3 | C |
Compiled 25 to 17 computations (32% 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 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) #s(literal 1 binary64)))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.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 #s(literal 2 binary64) (/.f64 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 #s(literal -2 binary64) A) 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 #s(literal 2 binary64) C) B))) (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 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 #s(approx (/ (- C A) B) (/.f64 C B)) #s(literal -1 binary64))))) (PI.f64)) |
7 calls:
| 5.0ms | (*.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))) |
| 3.0ms | B |
| 3.0ms | A |
| 3.0ms | C |
| 3.0ms | (*.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 |
|---|---|---|
| 48.8% | 4 | C |
| 53.8% | 2 | B |
| 48.3% | 3 | A |
| 50.9% | 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))) |
| 50.9% | 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)) |
| 50.9% | 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))))))) |
| 50.9% | 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)))))) |
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 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) #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))) |
(*.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:
| 3.0ms | (*.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))) |
| 2.0ms | B |
| 2.0ms | A |
| 2.0ms | C |
| 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 |
|---|---|---|
| 30.4% | 3 | C |
| 30.6% | 3 | A |
| 41.5% | 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))) |
| 41.5% | 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)) |
| 41.5% | 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))))))) |
| 41.5% | 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)))))) |
| 46.8% | 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 #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 (/.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 | (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))))))) |
| 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)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 30.3% | 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))) |
| 30.3% | 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)) |
| 30.3% | 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))))))) |
| 30.3% | 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)))))) |
| 31.6% | 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:
| 3.0ms | B |
| 1.0ms | C |
| 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 |
| Accuracy | Segments | Branch |
|---|---|---|
| 22.7% | 1 | C |
| 22.7% | 1 | A |
| 22.7% | 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))) |
| 22.7% | 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)) |
| 22.7% | 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))))))) |
| 22.7% | 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)))))) |
| 22.7% | 1 | B |
Compiled 105 to 74 computations (29.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.0 | 3.823279075172554e-60 |
| 0.0ms | -0.9999999999640247 | 0.0 |
Compiled 29 to 25 computations (13.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.823279075172554e-60 | 0.9999999999670821 |
| 0.0ms | -0.9999999999640247 | 0.0 |
Compiled 29 to 25 computations (13.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.823279075172554e-60 | 0.9999999999670821 |
| 0.0ms | -0.9999999999640247 | 0.0 |
Compiled 29 to 25 computations (13.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.823279075172554e-60 | 0.9999999999670821 |
| 0.0ms | -0.9999999999640247 | 0.0 |
Compiled 29 to 25 computations (13.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.823279075172554e-60 | 0.9999999999670821 |
| 0.0ms | -0.9999999999640247 | 0.0 |
Compiled 29 to 25 computations (13.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.823279075172554e-60 | 0.9999999999670821 |
| 0.0ms | -0.9999999999640247 | 0.0 |
Compiled 29 to 25 computations (13.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.823279075172554e-60 | 0.9999999999670821 |
| 0.0ms | -0.9999999999640247 | 0.0 |
Compiled 29 to 25 computations (13.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 34.0ms | 2.6335155005016375e+41 | 3.6942536768872863e+42 |
| 26.0ms | -1.7237165759636172e-38 | -2.3256321025274277e-41 |
| 16.0ms | 145× | 0 | valid |
| 16.0ms | 49× | 2 | valid |
| 7.0ms | 30× | 1 | valid |
Compiled 485 to 374 computations (22.9% saved)
adjust: 5.0ms (16.1% of total)ival-pow2: 5.0ms (16.1% of total)ival-sub: 4.0ms (12.9% of total)ival-div: 4.0ms (12.9% of total)ival-mult: 4.0ms (12.9% of total)ival-sqrt: 3.0ms (9.7% of total)ival-add: 2.0ms (6.5% of total)ival-atan: 2.0ms (6.5% of total)ival-pi: 1.0ms (3.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.823279075172554e-60 | 0.9999999999670821 |
| 0.0ms | -0.9999999999640247 | 0.0 |
Compiled 29 to 25 computations (13.8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 46.0ms | -1.2256007449297347e-145 | -2.067255786239359e-156 |
| 25.0ms | 70× | 2 | valid |
| 8.0ms | 74× | 0 | valid |
| 4.0ms | 16× | 1 | valid |
Compiled 299 to 244 computations (18.4% saved)
adjust: 6.0ms (19.7% of total)ival-atan: 5.0ms (16.4% of total)ival-sub: 4.0ms (13.1% of total)ival-div: 4.0ms (13.1% of total)ival-pow2: 4.0ms (13.1% of total)ival-mult: 4.0ms (13.1% of total)ival-sqrt: 2.0ms (6.6% of total)ival-pi: 1.0ms (3.3% of total)ival-add: 1.0ms (3.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 4.075829180837785e-186 | 1.2993368797727577e-185 |
| 33.0ms | -8.573161682094143e-190 | -5.90553427437266e-191 |
| 25.0ms | 76× | 2 | valid |
| 20.0ms | 92× | 0 | valid |
| 4.0ms | 8× | 1 | valid |
Compiled 271 to 244 computations (10% saved)
ival-sub: 14.0ms (34.1% of total)adjust: 6.0ms (14.6% of total)ival-pow2: 5.0ms (12.2% of total)ival-div: 4.0ms (9.7% of total)ival-mult: 4.0ms (9.7% of total)ival-atan: 4.0ms (9.7% of total)ival-sqrt: 3.0ms (7.3% of total)ival-add: 2.0ms (4.9% of total)ival-pi: 1.0ms (2.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.075829180837785e-186 | 1.2993368797727577e-185 |
Compiled 139 to 124 computations (10.8% saved)
| 1× | egg-herbie |
| 50× | *-commutative_binary64 |
| 30× | +-commutative_binary64 |
| 20× | sub-neg_binary64 |
| 12× | neg-sub0_binary64 |
| 12× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 145 | 1390 |
| 1 | 183 | 1390 |
| 2 | 200 | 1390 |
| 3 | 211 | 1390 |
| 4 | 216 | 1390 |
| 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 -1/2 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (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 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C))))) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (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 1 binary64) (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))))) (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 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C))))) (PI.f64))) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))))) (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 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.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 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C))))) (PI.f64))) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))))) (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 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.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 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 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 #s(literal 1/2 binary64)) A))) (PI.f64))) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))))) (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))))) (+.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 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 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 #s(literal 1/2 binary64)) A))) (PI.f64))) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))))) (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))))) (+.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 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 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 #s(literal 1/2 binary64)) 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 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (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 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 #s(approx (/ (- C A) B) (/.f64 C 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 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 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 #s(literal 1/2 binary64)) 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 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64))))) |
(if (<=.f64 C #s(literal -1225996432692711/49039857307708443467467104868809893875799651909875269632 binary64)) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 #s(approx (/ (- C A) B) (/.f64 C B)) #s(literal -1 binary64))))) (PI.f64)) (if (<=.f64 C #s(literal 1000000000000000044885712678075916785549312 binary64)) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 #s(approx (/ (- C A) B) (/.f64 A (neg.f64 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 B (*.f64 C #s(literal -2 binary64))))) (/.f64 #s(literal 180 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 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 #s(approx (/ (- C A) B) (/.f64 C 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 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 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 #s(literal 1/2 binary64)) 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))))) #s(literal 1 binary64))) (PI.f64))))) |
(if (<=.f64 B #s(literal -4837232111892845/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328 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))) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 #s(approx (/ (- C A) B) (/.f64 C B)) #s(literal -1 binary64))))) (PI.f64))) |
(if (<=.f64 B #s(literal -928044454370927/1254114127528279663858649702758819738757691336351197686075754380957778013777036862877289423055073845679040662969631723812346323072954131093770936672842951023567968290121184491680065097304421119039367020544 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 3827252586451049/306180206916083902309240650087602475282639486413866622577088471913520022894784390350900738050555138105234536857820245071373614031482942161565170086143298589738273508330367307539078392896587187265470464 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 3827252586451049/306180206916083902309240650087602475282639486413866622577088471913520022894784390350900738050555138105234536857820245071373614031482942161565170086143298589738273508330367307539078392896587187265470464 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 -1/2 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (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 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C))))) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (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 1 binary64) (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))))) (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 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C))))) (PI.f64))) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))))) (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 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.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 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C))))) (PI.f64))) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))))) (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 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.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 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 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 #s(literal 1/2 binary64)) A))) (PI.f64))) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))))) (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))))) (+.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 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 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 #s(literal 1/2 binary64)) A))) (PI.f64))) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))))) (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))))) (+.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 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 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 #s(literal 1/2 binary64)) 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 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (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 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 #s(approx (/ (- C A) B) (/.f64 C 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 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 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 #s(literal 1/2 binary64)) 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 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (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 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 #s(literal -1 binary64) #s(approx (/ (- C A) B) (/.f64 C B)))))) (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 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 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 #s(literal 1/2 binary64)) 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 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64))))) |
(if (<=.f64 C #s(literal -1225996432692711/49039857307708443467467104868809893875799651909875269632 binary64)) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 #s(approx (/ (- C A) B) (/.f64 C B)) #s(literal -1 binary64))))) (PI.f64)) (if (<=.f64 C #s(literal 1000000000000000044885712678075916785549312 binary64)) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 #s(approx (/ (- C A) B) (/.f64 A (neg.f64 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 B (*.f64 C #s(literal -2 binary64))))) (/.f64 #s(literal 180 binary64) (PI.f64))))) |
(if (<=.f64 C #s(literal -1225996432692711/49039857307708443467467104868809893875799651909875269632 binary64)) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 #s(literal -1 binary64) #s(approx (/ (- C A) B) (/.f64 C B)))))) (PI.f64)) (if (<=.f64 C #s(literal 1000000000000000044885712678075916785549312 binary64)) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 #s(literal -1 binary64) #s(approx (/ (- C A) B) (/.f64 A (neg.f64 B))))))) (PI.f64)) (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 B (*.f64 C #s(literal -2 binary64))))) (/.f64 #s(literal 180 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 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 #s(approx (/ (- C A) B) (/.f64 C 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 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 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 #s(literal 1/2 binary64)) 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))))) #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 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 #s(literal -1 binary64) #s(approx (/ (- C A) B) (/.f64 C B)))))) (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 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 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 #s(literal 1/2 binary64)) 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))))) #s(literal 1 binary64))) (PI.f64))))) |
(if (<=.f64 B #s(literal -4837232111892845/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328 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))) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 #s(approx (/ (- C A) B) (/.f64 C B)) #s(literal -1 binary64))))) (PI.f64))) |
(if (<=.f64 B #s(literal -4837232111892845/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328 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))) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) (+.f64 #s(literal -1 binary64) #s(approx (/ (- C A) B) (/.f64 C B)))))) (PI.f64))) |
(if (<=.f64 B #s(literal -928044454370927/1254114127528279663858649702758819738757691336351197686075754380957778013777036862877289423055073845679040662969631723812346323072954131093770936672842951023567968290121184491680065097304421119039367020544 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 3827252586451049/306180206916083902309240650087602475282639486413866622577088471913520022894784390350900738050555138105234536857820245071373614031482942161565170086143298589738273508330367307539078392896587187265470464 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 3827252586451049/306180206916083902309240650087602475282639486413866622577088471913520022894784390350900738050555138105234536857820245071373614031482942161565170086143298589738273508330367307539078392896587187265470464 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))) |
| 14 416× | lower-fma.f64 |
| 14 416× | lower-fma.f32 |
| 9 892× | lower-fma.f64 |
| 9 892× | lower-fma.f32 |
| 8 978× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 653 | 4303 |
| 1 | 2037 | 4108 |
| 2 | 6286 | 4068 |
| 0 | 8196 | 3537 |
| 0 | 704 | 16880 |
| 1 | 2152 | 16443 |
| 2 | 6614 | 16348 |
| 0 | 8310 | 13284 |
| 0 | 438 | 14747 |
| 1 | 1245 | 14367 |
| 2 | 3731 | 14115 |
| 0 | 8406 | 11193 |
| 0 | 53 | 503 |
| 0 | 89 | 494 |
| 1 | 332 | 458 |
| 2 | 2656 | 458 |
| 0 | 8909 | 383 |
| 0 | 46 | 521 |
| 0 | 71 | 467 |
| 1 | 251 | 465 |
| 2 | 1766 | 465 |
| 0 | 8565 | 375 |
| 0 | 59 | 545 |
| 0 | 94 | 527 |
| 1 | 305 | 503 |
| 2 | 2165 | 503 |
| 0 | 8331 | 383 |
| 0 | 828 | 19452 |
| 1 | 2535 | 18839 |
| 2 | 7705 | 18835 |
| 0 | 8332 | 15256 |
| 0 | 19 | 82 |
| 0 | 32 | 82 |
| 1 | 138 | 78 |
| 2 | 1029 | 78 |
| 0 | 8555 | 56 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 968 to 1 004 computations (49% saved)
Compiled 1 584 to 256 computations (83.8% saved)
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