
Time bar (total: 11.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 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)
| 775.0ms | 5 502× | 0 | valid |
| 627.0ms | 1 669× | 2 | valid |
| 613.0ms | 1 085× | 1 | valid |
ival-pow2: 518.0ms (30.7% of total)ival-sub: 274.0ms (16.3% of total)ival-mult: 192.0ms (11.4% of total)ival-div: 191.0ms (11.3% of total)adjust: 159.0ms (9.4% of total)ival-atan: 114.0ms (6.8% of total)ival-sqrt: 113.0ms (6.7% of total)ival-add: 70.0ms (4.2% of total)ival-pi: 34.0ms (2% of total)exact: 9.0ms (0.5% of total)ival-true: 8.0ms (0.5% of total)ival-assert: 4.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 157 | 0 | - | 0 | - | (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) |
| 42 | 0 | - | 0 | - | (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))) |
| 16 | 0 | - | 0 | - | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 1 | 0 | - | 1 | (-1.00049760605984e+208 -2.3893653433214526e-110 1.64540147533259e-267) | (*.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 | 151 | 0 |
| ↳ | (pow.f64 B #s(literal 2 binary64)) | overflow | 67 | |
| ↳ | (pow.f64 (-.f64 A C) #s(literal 2 binary64)) | overflow | 117 | |
| ↳ | (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) | overflow | 151 | |
-.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 | 42 | 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 | 16 | 0 |
sqrt.f64 | (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) | uflow-rescue | 6 | 0 |
| ↳ | (pow.f64 B #s(literal 2 binary64)) | underflow | 59 | |
| ↳ | (pow.f64 (-.f64 A C) #s(literal 2 binary64)) | underflow | 14 | |
| ↳ | (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) | underflow | 6 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 131 | 0 |
| - | 57 | 68 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 131 | 0 | 0 |
| - | 57 | 0 | 68 |
| number | freq |
|---|---|
| 0 | 68 |
| 1 | 161 |
| 2 | 27 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 58.0ms | 350× | 0 | valid |
| 49.0ms | 96× | 2 | valid |
| 18.0ms | 66× | 1 | valid |
Compiled 303 to 61 computations (79.9% saved)
ival-pow2: 13.0ms (14.3% of total)ival-sub: 12.0ms (13.2% of total)ival-mult: 12.0ms (13.2% of total)ival-atan: 12.0ms (13.2% of total)ival-div: 11.0ms (12.1% of total)adjust: 9.0ms (9.9% of total)ival-pi: 9.0ms (9.9% of total)ival-add: 7.0ms (7.7% of total)ival-sqrt: 6.0ms (6.6% of total)ival-true: 1.0ms (1.1% of total)exact: 1.0ms (1.1% 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 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B))) |
Compiled 23 to 19 computations (17.4% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 54.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
Compiled 23 to 19 computations (17.4% 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 | 1024 | (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) | |
| cost-diff | 6144 | (pow.f64 B #s(literal 2 binary64)) |
| 4 768× | lower-fma.f64 |
| 4 768× | lower-fma.f32 |
| 1 004× | lower-*.f32 |
| 1 000× | lower-*.f64 |
| 940× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 138 |
| 0 | 32 | 138 |
| 1 | 51 | 130 |
| 2 | 94 | 130 |
| 3 | 237 | 130 |
| 4 | 613 | 130 |
| 5 | 1310 | 130 |
| 6 | 2156 | 130 |
| 7 | 3282 | 130 |
| 8 | 4112 | 130 |
| 9 | 4492 | 130 |
| 10 | 4576 | 130 |
| 11 | 4625 | 130 |
| 12 | 4663 | 130 |
| 13 | 4766 | 130 |
| 14 | 4798 | 130 |
| 15 | 4798 | 130 |
| 16 | 4798 | 130 |
| 0 | 4798 | 99 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) B) |
#s(literal 1 binary64) |
B |
(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))) |
(-.f64 C A) |
C |
A |
(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) |
(+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) |
(pow.f64 (-.f64 A C) #s(literal 2 binary64)) |
(-.f64 A C) |
#s(literal 2 binary64) |
(pow.f64 B #s(literal 2 binary64)) |
(PI.f64) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) (PI.f64)) |
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
(atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B) |
(/.f64 #s(literal 1 binary64) B) |
#s(literal 1 binary64) |
B |
(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))) |
(-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) |
(-.f64 C A) |
C |
A |
(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) |
(hypot.f64 (-.f64 A C) B) |
(+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) |
(fma.f64 B B (pow.f64 (-.f64 A C) #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)) |
(*.f64 B B) |
(PI.f64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.11189006324130751 | (*.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 | 3.5605370782133123 | (*.f64 (/.f64 #s(literal 1 binary64) 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 | 9.769527401037443 | (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))) | |
| accuracy | 36.32117137626957 | (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) |
| 24.0ms | 175× | 0 | valid |
| 20.0ms | 48× | 2 | valid |
| 9.0ms | 33× | 1 | valid |
Compiled 140 to 21 computations (85% saved)
ival-div: 7.0ms (18.8% of total)ival-pow2: 6.0ms (16.1% of total)ival-sub: 5.0ms (13.4% of total)ival-mult: 5.0ms (13.4% of total)adjust: 4.0ms (10.7% of total)ival-sqrt: 3.0ms (8.1% of total)ival-atan: 3.0ms (8.1% of total)ival-add: 2.0ms (5.4% of total)ival-pi: 1.0ms (2.7% 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 (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 #s(literal 1 binary64) 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 (-.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 (sqrt (+ (pow A 2) (pow B 2))) (taylor 0 C) (#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 (+ (sqrt (+ (pow A 2) (pow B 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) (taylor 0 C) (#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 (+ (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 (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 (+ (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 (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (taylor 0 C) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) (patch (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) (taylor 0 C) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) (patch (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) (taylor -inf A) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) (patch (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) (taylor -inf A) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) (patch (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) (taylor -inf A) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) (patch (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (pow A 2) (taylor -inf A) (#s(alt (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) (patch (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow A 2) (+ 1 (* -2 (/ C A)))) (taylor -inf A) (#s(alt (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) (patch (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow B 2) (pow C 2)) A)) (* 2 C)) A)))) (taylor -inf A) (#s(alt (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) (patch (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow B 2) (pow C 2)) A)) (* 2 C)) A)))) (taylor -inf A) (#s(alt (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) (patch (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (pow B 2) A)) (taylor -inf A) (#s(alt (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))) (patch (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A)) (taylor -inf A) (#s(alt (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))) (patch (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) (taylor -inf A) (#s(alt (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))) (patch (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) A)) (* -1/2 (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) (taylor -inf A) (#s(alt (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))) (patch (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) (taylor -inf A) (#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>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) (taylor -inf A) (#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>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) (taylor -inf A) (#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>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) (taylor -inf A) (#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>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | B | @ | inf | ((pow B 2) (sqrt (+ (pow (- A C) 2) (pow B 2))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+ (pow (- A C) 2) (pow B 2)) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)))) |
| 3.0ms | C | @ | 0 | ((pow B 2) (sqrt (+ (pow (- A C) 2) (pow B 2))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+ (pow (- A C) 2) (pow B 2)) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)))) |
| 3.0ms | A | @ | -inf | ((pow B 2) (sqrt (+ (pow (- A C) 2) (pow B 2))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+ (pow (- A C) 2) (pow B 2)) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)))) |
| 3.0ms | C | @ | inf | ((pow B 2) (sqrt (+ (pow (- A C) 2) (pow B 2))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+ (pow (- A C) 2) (pow B 2)) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)))) |
| 2.0ms | A | @ | 0 | ((pow B 2) (sqrt (+ (pow (- A C) 2) (pow B 2))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+ (pow (- A C) 2) (pow B 2)) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)))) |
| 1× | egg-herbie |
| 8 674× | lower-fma.f64 |
| 8 674× | lower-fma.f32 |
| 6 042× | lower-*.f64 |
| 6 042× | lower-*.f32 |
| 3 202× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 629 | 4029 |
| 1 | 1968 | 3844 |
| 2 | 6094 | 3804 |
| 0 | 8438 | 3295 |
| 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)))))))))) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (pow A 2) (pow B 2)) |
(+ (* -2 (* A C)) (+ (pow A 2) (pow B 2))) |
(+ (* C (+ C (* -2 A))) (+ (pow A 2) (pow B 2))) |
(+ (* C (+ C (* -2 A))) (+ (pow A 2) (pow B 2))) |
(* -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))))) |
(* 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))) |
C |
(* C (+ 1 (* -1 (/ A C)))) |
(* C (+ 1 (+ (* -1 (/ A C)) (* 1/2 (/ (pow B 2) (pow C 2)))))) |
(* C (+ 1 (+ (* -1 (/ A C)) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 3))) (* 1/2 (/ (pow B 2) (pow C 2))))))) |
(* -1 (/ (+ A (* -1 A)) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
(pow C 2) |
(* (pow C 2) (+ 1 (* -2 (/ A C)))) |
(* (pow C 2) (+ 1 (+ (* -2 (/ A C)) (+ (/ (pow A 2) (pow C 2)) (/ (pow B 2) (pow C 2)))))) |
(* (pow C 2) (+ 1 (+ (* -2 (/ A C)) (+ (/ (pow A 2) (pow C 2)) (/ (pow B 2) (pow C 2)))))) |
(* -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)))))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* -1 C) |
(* -1 (* C (+ 1 (* -1 (/ A C))))) |
(* -1 (* C (+ 1 (* -1 (/ (+ A (* -1/2 (/ (pow B 2) C))) C))))) |
(* -1 (* C (+ 1 (* -1 (/ (+ A (* -1 (/ (+ (* 1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C))) C))))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(pow C 2) |
(* (pow C 2) (+ 1 (* -2 (/ A C)))) |
(* (pow C 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow A 2) (pow B 2)) C)) (* 2 A)) C)))) |
(* (pow C 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow A 2) (pow B 2)) C)) (* 2 A)) C)))) |
(* 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))) |
(* 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))) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(- A C) |
(- (+ A (* 1/2 (/ (pow B 2) (- A C)))) C) |
(- (+ A (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) C) |
(- (+ A (* (pow B 2) (+ (* (pow B 2) (- (* 1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) C) |
(/ (- (* 2 C) (* 2 A)) B) |
(/ (- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(pow (- A C) 2) |
(+ (pow B 2) (pow (- A C) 2)) |
(+ (pow B 2) (pow (- A C) 2)) |
(+ (pow B 2) (pow (- A C) 2)) |
(- (* 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)) |
(* 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))) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
B |
(* B (+ 1 (* 1/2 (/ (pow (- A C) 2) (pow B 2))))) |
(* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (* 1/2 (/ (pow (- A C) 2) (pow B 2)))))) |
(* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (+ (* 1/16 (/ (pow (- A C) 6) (pow B 6))) (* 1/2 (/ (pow (- A C) 2) (pow B 2))))))) |
-1 |
(- (/ C B) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
(pow B 2) |
(* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2)))) |
(* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2)))) |
(* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2)))) |
(* -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))))) |
(* 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))) |
(pow B 2) |
(pow B 2) |
(pow B 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 |
(- (+ 1 (/ C B)) (/ A B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- A C) 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) B))) |
(pow B 2) |
(* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2)))) |
(* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2)))) |
(* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2)))) |
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))) |
(sqrt (+ (pow B 2) (pow C 2))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* A (+ (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (* 1/2 (* (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* A (+ (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (* A (+ (* 1/2 (* (sqrt (/ 1 (+ (pow B 2) (pow C 2)))) (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (* 1/2 (* (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3)))))))))) |
(/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B) |
(- (+ (* -1 (/ (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* -1/2 (* (/ (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* A (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) B) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(+ (pow B 2) (pow C 2)) |
(+ (* -2 (* A C)) (+ (pow B 2) (pow C 2))) |
(+ (* A (+ A (* -2 C))) (+ (pow B 2) (pow C 2))) |
(+ (* A (+ A (* -2 C))) (+ (pow B 2) (pow C 2))) |
(- 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)))) |
(* 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))) |
A |
(* A (+ 1 (* -1 (/ C A)))) |
(* A (+ 1 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2)))))) |
(* A (+ 1 (+ (* -1 (/ C A)) (+ (* 1/2 (/ (* (pow B 2) C) (pow A 3))) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(* -2 (/ A B)) |
(* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(pow A 2) |
(* (pow A 2) (+ 1 (* -2 (/ C A)))) |
(* (pow A 2) (+ 1 (+ (* -2 (/ C A)) (+ (/ (pow B 2) (pow A 2)) (/ (pow C 2) (pow A 2)))))) |
(* (pow A 2) (+ 1 (+ (* -2 (/ C A)) (+ (/ (pow B 2) (pow A 2)) (/ (pow C 2) (pow A 2)))))) |
(* -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))))))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* -1 A) |
(* -1 (* A (+ 1 (* -1 (/ C A))))) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1/2 (/ (pow B 2) A))) A))))) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1 (/ (+ (* 1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A))) A))))) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(pow A 2) |
(* (pow A 2) (+ 1 (* -2 (/ C A)))) |
(* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow B 2) (pow C 2)) A)) (* 2 C)) A)))) |
(* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow B 2) (pow C 2)) A)) (* 2 C)) A)))) |
(* 1/2 (/ (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)) |
(* 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 |
|---|
(sqrt (+ (pow A 2) (pow B 2))) |
(hypot.f64 B A) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) |
(fma.f64 (*.f64 (neg.f64 C) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A))))) A (hypot.f64 B A)) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* C (+ (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (* 1/2 (* (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) C) (fma.f64 (neg.f64 A) (/.f64 A (fma.f64 B B (*.f64 A A))) #s(literal 1 binary64)) (neg.f64 A))) C (hypot.f64 B A)) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* C (+ (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (* C (+ (* 1/2 (* (sqrt (/ 1 (+ (pow A 2) (pow B 2)))) (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (* 1/2 (* (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3)))))))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) C) (fma.f64 (neg.f64 A) (/.f64 A (fma.f64 B B (*.f64 A A))) #s(literal 1 binary64)) (neg.f64 A)) (*.f64 (*.f64 C (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 C A)) (fma.f64 (neg.f64 A) (/.f64 A (fma.f64 B B (*.f64 A A))) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 B B (*.f64 A A)) #s(literal 3 binary64)))))) C (hypot.f64 B A)) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(/.f64 (+.f64 (hypot.f64 B A) A) (neg.f64 B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(fma.f64 (fma.f64 (/.f64 A B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (/.f64 #s(literal 1 binary64) B)) C (/.f64 (+.f64 (hypot.f64 B A) A) (neg.f64 B))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(fma.f64 (fma.f64 (*.f64 C #s(literal -1/2 binary64)) (*.f64 (/.f64 (fma.f64 (neg.f64 A) (/.f64 A (fma.f64 B B (*.f64 A A))) #s(literal 1 binary64)) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A))))) (fma.f64 (/.f64 A B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (/.f64 #s(literal 1 binary64) B))) C (/.f64 (+.f64 (hypot.f64 B A) A) (neg.f64 B))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(fma.f64 (fma.f64 (*.f64 C #s(literal -1/2 binary64)) (fma.f64 (/.f64 (fma.f64 (neg.f64 A) (/.f64 A (fma.f64 B B (*.f64 A A))) #s(literal 1 binary64)) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (*.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 A) (/.f64 A (fma.f64 B B (*.f64 A A))) #s(literal 1 binary64)) (/.f64 C B)) A) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 B B (*.f64 A A)) #s(literal 3 binary64)))))) (fma.f64 (/.f64 A B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (/.f64 #s(literal 1 binary64) B))) C (/.f64 (+.f64 (hypot.f64 B A) A) (neg.f64 B))) |
(+ (pow A 2) (pow B 2)) |
(fma.f64 B B (*.f64 A A)) |
(+ (* -2 (* A C)) (+ (pow A 2) (pow B 2))) |
(fma.f64 (fma.f64 #s(literal -2 binary64) C A) A (*.f64 B B)) |
(+ (* C (+ C (* -2 A))) (+ (pow A 2) (pow B 2))) |
(fma.f64 (fma.f64 #s(literal -2 binary64) C A) A (fma.f64 C C (*.f64 B B))) |
(+ (* C (+ C (* -2 A))) (+ (pow A 2) (pow B 2))) |
(fma.f64 (fma.f64 #s(literal -2 binary64) C A) A (fma.f64 C C (*.f64 B B))) |
(* -1 (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(neg.f64 (+.f64 (hypot.f64 B A) A)) |
(- (* C (- 1 (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) A #s(literal 1 binary64)) C (neg.f64 (+.f64 (hypot.f64 B A) A))) |
(- (* C (- (+ 1 (* -1/2 (* (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) C) (fma.f64 (neg.f64 A) (/.f64 A (fma.f64 B B (*.f64 A A))) #s(literal 1 binary64)) A) #s(literal 1 binary64)) C (neg.f64 (+.f64 (hypot.f64 B A) A))) |
(- (* C (- (+ 1 (* C (- (* -1/2 (* (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow A 2) (pow B 2)))) (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 B B (*.f64 A A)) #s(literal 3 binary64)))) (*.f64 C A)) (fma.f64 (neg.f64 A) (/.f64 A (fma.f64 B B (*.f64 A A))) #s(literal 1 binary64)) (*.f64 (fma.f64 (neg.f64 A) (/.f64 A (fma.f64 B B (*.f64 A A))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A))))))) C (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) A #s(literal 1 binary64))) C (neg.f64 (+.f64 (hypot.f64 B A) A))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) (PI.f64)) #s(literal 180 binary64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) (PI.f64)) #s(literal 180 binary64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) (PI.f64)) #s(literal 180 binary64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) (PI.f64)) #s(literal 180 binary64)) |
C |
(* C (+ 1 (* -1 (/ A C)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 A C)) C) |
(* C (+ 1 (+ (* -1 (/ A C)) (* 1/2 (/ (pow B 2) (pow C 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) C) (*.f64 B (/.f64 B C)) (-.f64 #s(literal 1 binary64) (/.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))))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 B C) (/.f64 B C) (*.f64 (*.f64 B B) (/.f64 A (pow.f64 C #s(literal 3 binary64))))) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 A C))) C) |
(* -1 (/ (+ A (* -1 A)) B)) |
#s(literal 0 binary64) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(fma.f64 (/.f64 B C) #s(literal -1/2 binary64) #s(literal 0 binary64)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) #s(literal -1/2 binary64) #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 (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) #s(literal -1/2 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 C #s(literal 3 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 A A) B) (neg.f64 B) (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64))) B) #s(literal 0 binary64))) |
(pow C 2) |
(*.f64 C C) |
(* (pow C 2) (+ 1 (* -2 (/ A C)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 A C) #s(literal -2 binary64) #s(literal 1 binary64)) C) C) |
(* (pow C 2) (+ 1 (+ (* -2 (/ A C)) (+ (/ (pow A 2) (pow C 2)) (/ (pow B 2) (pow C 2)))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 B C) (/.f64 B C) (*.f64 (/.f64 A C) (/.f64 A C))) (fma.f64 (/.f64 A C) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 C C)) |
(* (pow C 2) (+ 1 (+ (* -2 (/ A C)) (+ (/ (pow A 2) (pow C 2)) (/ (pow B 2) (pow C 2)))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 B C) (/.f64 B C) (*.f64 (/.f64 A C) (/.f64 A C))) (fma.f64 (/.f64 A C) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 C C)) |
(* -1 (+ A (* -1 A))) |
#s(literal 0 binary64) |
(- (* -1/2 (/ (pow B 2) C)) (+ A (* -1 A))) |
(*.f64 (*.f64 B (/.f64 B C)) #s(literal -1/2 binary64)) |
(- (* -1/2 (/ (* A (pow B 2)) (pow C 2))) (+ A (+ (* -1 A) (* 1/2 (/ (pow B 2) C))))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 B (/.f64 B C)) A (*.f64 B B)) 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 (fma.f64 (*.f64 B (/.f64 B C)) (/.f64 A C) (*.f64 B (/.f64 B C))) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 A A) B) (neg.f64 B) (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64))) (pow.f64 C #s(literal 3 binary64))) #s(literal 1/2 binary64))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) (PI.f64)) #s(literal 180 binary64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) (PI.f64)) #s(literal 180 binary64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) (PI.f64)) #s(literal 180 binary64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) (PI.f64)) #s(literal 180 binary64)) |
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(+ (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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) A) (fma.f64 (neg.f64 C) (/.f64 C (fma.f64 C C (*.f64 B B))) #s(literal 1 binary64)) (neg.f64 C))) A (hypot.f64 C 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 (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) (fma.f64 (neg.f64 C) (/.f64 C (fma.f64 C C (*.f64 B B))) #s(literal 1 binary64)) (neg.f64 C)) (*.f64 (*.f64 A (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 C A)) (fma.f64 (neg.f64 C) (/.f64 C (fma.f64 C C (*.f64 B B))) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 C C (*.f64 B B)) #s(literal 3 binary64)))))) A (hypot.f64 C B)) |
(/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B) |
(/.f64 (-.f64 C (hypot.f64 C B)) 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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B)))) C #s(literal -1 binary64)) (/.f64 A B) (/.f64 (-.f64 C (hypot.f64 C B)) 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 (fma.f64 (*.f64 A #s(literal -1/2 binary64)) (*.f64 (/.f64 (fma.f64 (neg.f64 C) (/.f64 C (fma.f64 C C (*.f64 B B))) #s(literal 1 binary64)) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B)))) C #s(literal -1 binary64)) B)) A (/.f64 (-.f64 C (hypot.f64 C B)) 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 (fma.f64 (*.f64 A #s(literal -1/2 binary64)) (fma.f64 (/.f64 (fma.f64 (neg.f64 C) (/.f64 C (fma.f64 C C (*.f64 B B))) #s(literal 1 binary64)) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B)))) (*.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 C) (/.f64 C (fma.f64 C C (*.f64 B B))) #s(literal 1 binary64)) (/.f64 C B)) A) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 C C (*.f64 B B)) #s(literal 3 binary64)))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B)))) C #s(literal -1 binary64)) B)) A (/.f64 (-.f64 C (hypot.f64 C B)) B)) |
(+ (pow B 2) (pow C 2)) |
(fma.f64 C C (*.f64 B B)) |
(+ (* -2 (* A C)) (+ (pow B 2) (pow C 2))) |
(fma.f64 (fma.f64 #s(literal -2 binary64) A C) C (*.f64 B B)) |
(+ (* A (+ A (* -2 C))) (+ (pow B 2) (pow C 2))) |
(fma.f64 (fma.f64 #s(literal -2 binary64) C A) A (fma.f64 C C (*.f64 B B))) |
(+ (* A (+ A (* -2 C))) (+ (pow B 2) (pow C 2))) |
(fma.f64 (fma.f64 #s(literal -2 binary64) C A) A (fma.f64 C C (*.f64 B B))) |
(- C (sqrt (+ (pow B 2) (pow C 2)))) |
(-.f64 C (hypot.f64 C B)) |
(- (+ C (* -1 (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B)))) C #s(literal -1 binary64)) A (-.f64 C (hypot.f64 C 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 (fma.f64 (*.f64 #s(literal -1/2 binary64) A) (*.f64 (fma.f64 (neg.f64 C) (/.f64 C (fma.f64 C C (*.f64 B B))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B)))) C #s(literal -1 binary64))) A (-.f64 C (hypot.f64 C 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 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 C C (*.f64 B B)) #s(literal 3 binary64)))) (*.f64 C A)) (fma.f64 (neg.f64 C) (/.f64 C (fma.f64 C C (*.f64 B B))) #s(literal 1 binary64)) (*.f64 (fma.f64 (neg.f64 C) (/.f64 C (fma.f64 C C (*.f64 B B))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B))))))) A (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B)))) C #s(literal -1 binary64))) A (-.f64 C (hypot.f64 C B))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) (PI.f64)) #s(literal 180 binary64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) (PI.f64)) #s(literal 180 binary64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) (PI.f64)) #s(literal 180 binary64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) (PI.f64)) #s(literal 180 binary64)) |
A |
(* A (+ 1 (* -1 (/ C A)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 C A)) A) |
(* A (+ 1 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) A) (/.f64 (*.f64 B B) A) (-.f64 #s(literal 1 binary64) (/.f64 C A))) A) |
(* A (+ 1 (+ (* -1 (/ C A)) (+ (* 1/2 (/ (* (pow B 2) C) (pow A 3))) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 C (pow.f64 A #s(literal 3 binary64))) (*.f64 B B) (*.f64 (/.f64 B A) (/.f64 B A))) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 C A))) A) |
(* -2 (/ A B)) |
(*.f64 #s(literal -2 binary64) (/.f64 A B)) |
(* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(*.f64 (-.f64 (/.f64 (/.f64 C A) B) (-.f64 (/.f64 #s(literal 2 binary64) B) (/.f64 (/.f64 C A) B))) A) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) A) (/.f64 B A) (-.f64 (/.f64 (/.f64 C A) B) (-.f64 (/.f64 #s(literal 2 binary64) B) (/.f64 (/.f64 C A) B)))) A) |
(* 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 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 B (*.f64 A A)) (*.f64 (/.f64 C (pow.f64 A #s(literal 3 binary64))) B)) (-.f64 (/.f64 (/.f64 C A) B) (-.f64 (/.f64 #s(literal 2 binary64) B) (/.f64 (/.f64 C A) B)))) A) |
(pow A 2) |
(*.f64 A A) |
(* (pow A 2) (+ 1 (* -2 (/ C A)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 C A) #s(literal -2 binary64) #s(literal 1 binary64)) A) A) |
(* (pow A 2) (+ 1 (+ (* -2 (/ C A)) (+ (/ (pow B 2) (pow A 2)) (/ (pow C 2) (pow A 2)))))) |
(*.f64 (+.f64 (fma.f64 B (/.f64 B (*.f64 A A)) (*.f64 (/.f64 C A) #s(literal -2 binary64))) (fma.f64 (/.f64 C A) (/.f64 C A) #s(literal 1 binary64))) (*.f64 A A)) |
(* (pow A 2) (+ 1 (+ (* -2 (/ C A)) (+ (/ (pow B 2) (pow A 2)) (/ (pow C 2) (pow A 2)))))) |
(*.f64 (+.f64 (fma.f64 B (/.f64 B (*.f64 A A)) (*.f64 (/.f64 C A) #s(literal -2 binary64))) (fma.f64 (/.f64 C A) (/.f64 C A) #s(literal 1 binary64))) (*.f64 A A)) |
(* -2 A) |
(*.f64 #s(literal -2 binary64) A) |
(* A (- (/ C A) (+ 2 (* -1 (/ C A))))) |
(*.f64 (-.f64 (/.f64 C A) (-.f64 #s(literal 2 binary64) (/.f64 C A))) A) |
(* A (- (+ (* -1/2 (/ (pow B 2) (pow A 2))) (/ C A)) (+ 2 (* -1 (/ C A))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) A) (/.f64 (*.f64 B B) A) (-.f64 (/.f64 C A) (-.f64 #s(literal 2 binary64) (/.f64 C A)))) 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 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) B) B) (/.f64 C (pow.f64 A #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) A) (/.f64 (*.f64 B B) A) (-.f64 (/.f64 C A) (-.f64 #s(literal 2 binary64) (/.f64 C A))))) A) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) (PI.f64)) #s(literal 180 binary64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) (PI.f64)) #s(literal 180 binary64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) (PI.f64)) #s(literal 180 binary64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) (PI.f64)) #s(literal 180 binary64)) |
(* -1 A) |
(neg.f64 A) |
(* -1 (* A (+ 1 (* -1 (/ C A))))) |
(fma.f64 (/.f64 C A) A (neg.f64 A)) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1/2 (/ (pow B 2) A))) A))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 B B) A) #s(literal -1/2 binary64) C) A) A (neg.f64 A)) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1 (/ (+ (* 1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A))) A))))) |
(fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 C (/.f64 (*.f64 B B) A) (*.f64 B B)) A) C) A) A (neg.f64 A)) |
(* 1/2 (/ B A)) |
(*.f64 (/.f64 B A) #s(literal 1/2 binary64)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 C A) B B) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) B (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) B (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 C B) B) C) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 B #s(literal 4 binary64)))) B) A)) (neg.f64 A))) (neg.f64 A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) B (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) B (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) C) (pow.f64 B #s(literal 4 binary64)) (*.f64 (neg.f64 C) (fma.f64 (*.f64 (*.f64 C C) B) (neg.f64 B) (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64))))) A) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) B) B) (*.f64 C C) (*.f64 #s(literal 1/8 binary64) (pow.f64 B #s(literal 4 binary64)))) B)) (neg.f64 A))) (neg.f64 A))) (neg.f64 A)) |
(pow A 2) |
(*.f64 A A) |
(* (pow A 2) (+ 1 (* -2 (/ C A)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 C A) #s(literal -2 binary64) #s(literal 1 binary64)) A) A) |
(* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow B 2) (pow C 2)) A)) (* 2 C)) A)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 C #s(literal 2 binary64) (/.f64 (fma.f64 C C (*.f64 B B)) (neg.f64 A))) A)) (*.f64 A A)) |
(* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow B 2) (pow C 2)) A)) (* 2 C)) A)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 C #s(literal 2 binary64) (/.f64 (fma.f64 C C (*.f64 B B)) (neg.f64 A))) A)) (*.f64 A A)) |
(* 1/2 (/ (pow B 2) A)) |
(*.f64 (/.f64 (*.f64 B B) A) #s(literal 1/2 binary64)) |
(* -1 (/ (- (* -1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 C (/.f64 (*.f64 B B) A) (*.f64 B B)) A)) |
(* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 C C) B) (neg.f64 B) (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64))) A) (*.f64 (*.f64 C B) B)) A) (*.f64 #s(literal 1/2 binary64) (*.f64 B B))) A) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) A)) (* -1/2 (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) (*.f64 B B) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) C) (pow.f64 B #s(literal 4 binary64)) (*.f64 (neg.f64 C) (fma.f64 (*.f64 (*.f64 C C) B) (neg.f64 B) (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64))))) A) (fma.f64 (*.f64 (*.f64 C C) B) (neg.f64 B) (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64)))) A))) A) (*.f64 #s(literal 1/2 binary64) (*.f64 B B))) A) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) (PI.f64)) #s(literal 180 binary64)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) (PI.f64)) #s(literal 180 binary64)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) (PI.f64)) #s(literal 180 binary64)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) (PI.f64)) #s(literal 180 binary64)) |
| 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 | 77 |
| 0 | 32 | 77 |
| 1 | 138 | 73 |
| 2 | 1029 | 73 |
| 0 | 8550 | 51 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(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 #s(literal 1 binary64) 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))) |
(-.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 |
|---|
#<batchref> |
#<batchref> |
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#<batchref> |
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#<batchref> |
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#<batchref> |
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#<batchref> |
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Compiled 17 023 to 3 150 computations (81.5% saved)
18 alts after pruning (18 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 507 | 18 | 525 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 508 | 18 | 526 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 78.2% | (/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) |
| ▶ | 52.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))))))) (PI.f64))) |
| 52.5% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))))) (PI.f64))) | |
| 37.6% | (*.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))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 A C)) B) B (-.f64 A C)))))) (PI.f64))) | |
| 24.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) (*.f64 (*.f64 B (/.f64 B C)) #s(literal -1/2 binary64))))) (PI.f64))) | |
| 15.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) #s(literal -1/2 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 C #s(literal 3 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 A A) B) (neg.f64 B) (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64))) B) #s(literal 0 binary64))))) (PI.f64))) | |
| 30.7% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) #s(literal -1/2 binary64) #s(literal 0 binary64)))) (PI.f64))) | |
| ▶ | 24.5% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) #s(literal 0 binary64)))) (PI.f64))) |
| 25.6% | (*.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 -1/2 binary64) B (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) B (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 C B) B) C) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 B #s(literal 4 binary64)))) B) A)) (neg.f64 A))) (neg.f64 A)))) (PI.f64))) | |
| 50.8% | (*.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))) | |
| 51.7% | (*.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))) | |
| 23.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) (PI.f64))) | |
| ▶ | 28.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) |
| 35.4% | (*.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 (-.f64 C A) B)))) (PI.f64))) | |
| 21.5% | (*.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 A B)))) (PI.f64))) | |
| 22.2% | (*.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))) | |
| ▶ | 21.2% | (*.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 614 to 546 computations (11.1% 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) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))))))) | |
| cost-diff | 0 | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B 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) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))))))) (PI.f64))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B)))))) | |
| cost-diff | 0 | (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) #s(literal 0 binary64)))) | |
| cost-diff | 0 | (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) #s(literal 0 binary64)))) (PI.f64)) | |
| 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 (/.f64 B C) #s(literal -1/2 binary64) #s(literal 0 binary64)))) (PI.f64))) | |
| cost-diff | 64 | (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) #s(literal 0 binary64)) | |
| cost-diff | 0 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64)) | |
| 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 B A) #s(literal 1/2 binary64)))) (PI.f64))) | |
| cost-diff | 0 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -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 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B) | |
| cost-diff | 0 | (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) | |
| cost-diff | 0 | (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) | |
| cost-diff | 1984 | (/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) |
| 5 760× | lower-fma.f32 |
| 5 756× | lower-fma.f64 |
| 1 626× | lower-*.f32 |
| 1 610× | lower-*.f64 |
| 1 180× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 609 |
| 0 | 93 | 544 |
| 1 | 149 | 512 |
| 2 | 247 | 508 |
| 3 | 489 | 508 |
| 4 | 1136 | 508 |
| 5 | 2143 | 508 |
| 6 | 3266 | 508 |
| 7 | 4816 | 508 |
| 8 | 5723 | 508 |
| 9 | 6104 | 508 |
| 10 | 6120 | 508 |
| 11 | 6124 | 508 |
| 12 | 6157 | 508 |
| 13 | 6397 | 508 |
| 14 | 6503 | 508 |
| 15 | 6541 | 508 |
| 16 | 6541 | 508 |
| 17 | 6629 | 508 |
| 18 | 7173 | 508 |
| 0 | 7173 | 501 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) |
(/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B) |
(-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) |
(-.f64 C A) |
C |
A |
(hypot.f64 (-.f64 A C) B) |
(-.f64 A C) |
B |
(/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64))) |
#s(literal 180 binary64) |
(sqrt.f64 (PI.f64)) |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
#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 B A) #s(literal 1/2 binary64)))) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 B A) #s(literal 1/2 binary64)) |
(/.f64 B A) |
B |
A |
#s(literal 1/2 binary64) |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) #s(literal 0 binary64)))) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) #s(literal 0 binary64)))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) #s(literal 0 binary64)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) #s(literal 0 binary64))) |
(fma.f64 (/.f64 B C) #s(literal -1/2 binary64) #s(literal 0 binary64)) |
(/.f64 B C) |
B |
C |
#s(literal -1/2 binary64) |
#s(literal 0 binary64) |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))))))) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))))))) (PI.f64)) |
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B)))))) |
(/.f64 #s(literal 1 binary64) B) |
#s(literal 1 binary64) |
B |
(-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))))) |
(-.f64 C A) |
C |
A |
(sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B)))) |
#s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))) |
(fma.f64 C C (*.f64 B B)) |
(*.f64 B B) |
(PI.f64) |
| Outputs |
|---|
(/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) A) B))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64))) (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) A) B))) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) A) B)) |
(/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B) |
(/.f64 (-.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) A) B) |
(-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) |
(-.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) A) |
(-.f64 C A) |
C |
A |
(hypot.f64 (-.f64 A C) B) |
(hypot.f64 B (-.f64 A C)) |
(-.f64 A C) |
B |
(/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64))) |
#s(literal 180 binary64) |
(sqrt.f64 (PI.f64)) |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64)))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64)) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))) |
(*.f64 (/.f64 B A) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 B A)) |
(/.f64 B A) |
B |
A |
#s(literal 1/2 binary64) |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) #s(literal 0 binary64)))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) #s(literal 0 binary64)))) (PI.f64)) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) #s(literal 0 binary64)))) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) #s(literal 0 binary64))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))) |
(fma.f64 (/.f64 B C) #s(literal -1/2 binary64) #s(literal 0 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 B C)) |
(/.f64 B C) |
B |
C |
#s(literal -1/2 binary64) |
#s(literal 0 binary64) |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))))))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))))))) (PI.f64)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B)) (PI.f64)) |
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))))))) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B)) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B)))))) |
(/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) B) |
(/.f64 #s(literal 1 binary64) B) |
#s(literal 1 binary64) |
B |
(-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))))) |
(-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))))) |
(-.f64 C A) |
C |
A |
(sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B)))) |
(sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C)))) |
#s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))) |
#s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 C C))) |
(fma.f64 C C (*.f64 B B)) |
(fma.f64 B B (*.f64 C C)) |
(*.f64 B B) |
(PI.f64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.5605370782133123 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B)))))) | |
| accuracy | 9.769527401037443 | (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))))) | |
| accuracy | 19.163196710486936 | #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))) | |
| accuracy | 36.32117137626957 | (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B)))) | |
| accuracy | 0.0078125 | (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) #s(literal 0 binary64)))) | |
| accuracy | 0.0546875 | (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) #s(literal 0 binary64)))) (PI.f64)) | |
| accuracy | 0.11189006324130751 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) #s(literal 0 binary64)))) (PI.f64))) | |
| accuracy | 53.433408280796066 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) #s(literal 0 binary64))) | |
| accuracy | 0.0078125 | (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) | |
| accuracy | 0.0546875 | (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64)) | |
| accuracy | 0.11189006324130751 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) | |
| accuracy | 50.64719699282614 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64))) | |
| accuracy | 0.0078125 | (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) | |
| accuracy | 0.0546875 | (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64)) | |
| accuracy | 0.11189006324130751 | (*.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 | 51.88690696407071 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64)) | |
| accuracy | 0.8071897807636831 | (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) | |
| accuracy | 1.0 | (sqrt.f64 (PI.f64)) | |
| accuracy | 3.4355370782133123 | (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B) | |
| accuracy | 9.769527401037443 | (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) |
| 103.0ms | 48× | 2 | valid |
| 85.0ms | 175× | 0 | valid |
| 19.0ms | 33× | 1 | valid |
Compiled 546 to 40 computations (92.7% saved)
ival-atan: 36.0ms (29.6% of total)ival-div: 28.0ms (23% of total)ival-mult: 14.0ms (11.5% of total)ival-sub: 10.0ms (8.2% of total)ival-hypot: 9.0ms (7.4% of total)adjust: 8.0ms (6.6% of total)ival-pow2: 6.0ms (4.9% of total)ival-sqrt: 4.0ms (3.3% of total)ival-add: 4.0ms (3.3% of total)ival-pi: 1.0ms (0.8% of total)exact: 1.0ms (0.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) (patch (/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (patch (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) #<representation binary64>) () ()) |
#s(alt (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) (patch (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B) (patch (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) 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 -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 B A) #s(literal 1/2 binary64)))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64)) (patch (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64)) #<representation binary64>) () ()) |
#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) #s(literal 0 binary64)) (patch (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) #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 (/.f64 B C) #s(literal -1/2 binary64) #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 (/.f64 B C) #s(literal -1/2 binary64) #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 (/.f64 B C) #s(literal -1/2 binary64) #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 (/.f64 B C) #s(literal -1/2 binary64) #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 (/.f64 B C) #s(literal -1/2 binary64) #s(literal 0 binary64)))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B)))))) (patch (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B)))))) #<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 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))))))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))))))) (PI.f64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))))))) (PI.f64)) (patch (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))))))) (PI.f64)) #<representation binary64>) () ()) |
#s(alt (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))))))) (patch (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))))))) #<representation binary64>) () ()) |
#s(alt (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) (patch (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) #s(literal 0 binary64))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) #s(literal 0 binary64))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B)))) (patch (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))) (patch #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))) #<representation binary64>) () ()) |
#s(alt (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))))) (patch (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor 0 C) (#s(alt (/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) (patch (/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor 0 C) (#s(alt (/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) (patch (/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor 0 C) (#s(alt (/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) (patch (/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor 0 C) (#s(alt (/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) (patch (/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) (taylor 0 C) (#s(alt (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (patch (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) (taylor 0 C) (#s(alt (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (patch (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) (taylor 0 C) (#s(alt (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (patch (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) (taylor 0 C) (#s(alt (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (patch (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (taylor 0 C) (#s(alt (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) (patch (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (taylor 0 C) (#s(alt (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) (patch (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (taylor 0 C) (#s(alt (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) (patch (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (taylor 0 C) (#s(alt (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) (patch (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (taylor 0 C) (#s(alt (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B) (patch (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) 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 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B) (patch (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) 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 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B) (patch (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) 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 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B) (patch (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor 0 C) (#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -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 (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor 0 C) (#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor 0 C) (#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor 0 C) (#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) (taylor 0 C) (#s(alt (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -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 (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) (taylor 0 C) (#s(alt (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -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 (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) (taylor 0 C) (#s(alt (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -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 (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) (taylor 0 C) (#s(alt (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -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 (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (taylor 0 C) (#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #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 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (taylor 0 C) (#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #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 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (taylor 0 C) (#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #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 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (taylor 0 C) (#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #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 (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (taylor 0 C) (#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #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 (+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) (taylor 0 C) (#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #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 (+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) (taylor 0 C) (#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #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 (+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) (taylor 0 C) (#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #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 (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor 0 C) (#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor 0 C) (#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor 0 C) (#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor 0 C) (#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) (taylor 0 C) (#s(alt (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64)) (patch (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) (taylor 0 C) (#s(alt (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64)) (patch (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) (taylor 0 C) (#s(alt (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64)) (patch (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) (taylor 0 C) (#s(alt (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64)) (patch (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 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) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B)))))) (patch (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B)))))) #<representation binary64>) () ())) ()) |
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#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor inf C) (#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))))))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))))))) (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor inf C) (#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))))))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))))))) (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) (taylor inf C) (#s(alt (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))))))) (PI.f64)) (patch (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))))))) (PI.f64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) (taylor inf C) (#s(alt (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))))))) (PI.f64)) (patch (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))))))) (PI.f64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) (taylor inf C) (#s(alt (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))))))) (PI.f64)) (patch (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))))))) (PI.f64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) (taylor inf C) (#s(alt (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))))))) (PI.f64)) (patch (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))))))) (PI.f64)) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (taylor inf C) (#s(alt (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))))))) (patch (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))))))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (taylor inf C) (#s(alt (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))))))) (patch (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))))))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (taylor inf C) (#s(alt (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))))))) (patch (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))))))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (taylor inf C) (#s(alt (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))))))) (patch (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))))))) #<representation binary64>) () ())) ()) |
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#s(alt (- (* -1/2 (/ (* A (pow B 2)) (pow C 2))) (+ A (+ (* -1 A) (* 1/2 (/ (pow B 2) C))))) (taylor inf C) (#s(alt (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) (patch (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (pow C 3))) (+ A (+ (* -1 A) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 2))) (* 1/2 (/ (pow B 2) C)))))) (taylor inf C) (#s(alt (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) (patch (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) 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 (/.f64 B C) #s(literal -1/2 binary64) #s(literal 0 binary64))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) #s(literal 0 binary64))) #<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 (/.f64 B C) #s(literal -1/2 binary64) #s(literal 0 binary64))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) #s(literal 0 binary64))) #<representation binary64>) () ())) ()) |
#s(alt C (taylor inf C) (#s(alt (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B)))) (patch (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B)))) #<representation binary64>) () ())) ()) |
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#s(alt (pow C 2) (taylor inf C) (#s(alt #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))) (patch #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 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) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))))) (patch (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))))) #<representation binary64>) () ())) ()) |
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#s(alt (* 180 (* (sqrt (/ 1 (PI))) (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))))) (taylor -inf C) (#s(alt (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (patch (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) A)) (* -1/2 (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) (taylor -inf A) (#s(alt (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))))) (patch (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | B | @ | inf | ((/ (* (atan (/ (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) B)) (/ 180 (sqrt (PI)))) (sqrt (PI))) (* (atan (/ (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) B)) (/ 180 (sqrt (PI)))) (atan (/ (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) B)) (/ (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) B) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+ (* (/ B C) -1/2) 0) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (sqrt (PI)) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (sqrt (+ (pow (- A C) 2) (pow B 2))) (+ (pow (- A C) 2) (pow B 2)) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) |
| 5.0ms | C | @ | 0 | ((/ (* (atan (/ (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) B)) (/ 180 (sqrt (PI)))) (sqrt (PI))) (* (atan (/ (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) B)) (/ 180 (sqrt (PI)))) (atan (/ (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) B)) (/ (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) B) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+ (* (/ B C) -1/2) 0) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (sqrt (PI)) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (sqrt (+ (pow (- A C) 2) (pow B 2))) (+ (pow (- A C) 2) (pow B 2)) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) |
| 3.0ms | B | @ | -inf | ((/ (* (atan (/ (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) B)) (/ 180 (sqrt (PI)))) (sqrt (PI))) (* (atan (/ (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) B)) (/ 180 (sqrt (PI)))) (atan (/ (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) B)) (/ (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) B) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+ (* (/ B C) -1/2) 0) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (sqrt (PI)) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (sqrt (+ (pow (- A C) 2) (pow B 2))) (+ (pow (- A C) 2) (pow B 2)) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) |
| 2.0ms | C | @ | inf | ((/ (* (atan (/ (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) B)) (/ 180 (sqrt (PI)))) (sqrt (PI))) (* (atan (/ (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) B)) (/ 180 (sqrt (PI)))) (atan (/ (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) B)) (/ (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) B) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+ (* (/ B C) -1/2) 0) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (sqrt (PI)) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (sqrt (+ (pow (- A C) 2) (pow B 2))) (+ (pow (- A C) 2) (pow B 2)) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) |
| 2.0ms | C | @ | -inf | ((/ (* (atan (/ (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) B)) (/ 180 (sqrt (PI)))) (sqrt (PI))) (* (atan (/ (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) B)) (/ 180 (sqrt (PI)))) (atan (/ (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) B)) (/ (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) B) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+ (* (/ B C) -1/2) 0) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (sqrt (PI)) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (sqrt (+ (pow (- A C) 2) (pow B 2))) (+ (pow (- A C) 2) (pow B 2)) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) |
| 1× | egg-herbie |
| 8 674× | lower-fma.f64 |
| 8 674× | lower-fma.f32 |
| 6 062× | lower-*.f64 |
| 6 062× | lower-*.f32 |
| 3 202× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 637 | 18772 |
| 1 | 1986 | 18271 |
| 2 | 6132 | 18153 |
| 0 | 8475 | 14628 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (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)) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(* -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))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(* -1 (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(- (* C (- 1 (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(- (* C (- (+ 1 (* -1/2 (* (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(- (* C (- (+ 1 (* C (- (* -1/2 (* (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow A 2) (pow B 2)))) (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(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)))))))))) |
(+ (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))) |
(* -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))))) |
(* 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 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (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)) |
(* -1 (/ (+ A (* -1 A)) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(* -1 (/ (+ A (* -1 A)) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(* -1 (/ (+ A (* -1 A)) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
(* -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))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(* -1 (/ (+ A (* -1 A)) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(* -1 (+ A (* -1 A))) |
(- (* -1/2 (/ (pow B 2) C)) (+ A (* -1 A))) |
(- (* -1/2 (/ (* A (pow B 2)) (pow C 2))) (+ A (+ (* -1 A) (* 1/2 (/ (pow B 2) C))))) |
(- (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (pow C 3))) (+ A (+ (* -1 A) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 2))) (* 1/2 (/ (pow B 2) C)))))) |
(* -1 (/ (+ A (* -1 A)) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
C |
(* 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))))))) |
(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)))))) |
(* -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)))))) |
(* 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 (* (sqrt (/ 1 (PI))) (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(* 2 C) |
(* -1 (* C (- (* 2 (/ A C)) 2))) |
(* -1 (* C (- (* -1 (/ (- (* 1/2 (/ (pow B 2) C)) (* 2 A)) C)) 2))) |
(* -1 (* C (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C)) (* 2 A)) C)) 2))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(* -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))))) |
(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)))) |
(* 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))) |
(* 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 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (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)) |
(/ (- (* 2 C) (* 2 A)) B) |
(/ (- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(/ (- (* 2 C) (* 2 A)) B) |
(/ (- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(/ (- (* 2 C) (* 2 A)) B) |
(/ (- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(* -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))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(/ (- (* 2 C) (* 2 A)) B) |
(/ (- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(- (* 2 C) (* 2 A)) |
(- (+ (* -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)) |
(/ (- (* 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) |
(- 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) |
(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)) |
(- (* 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)) |
(* 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 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (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)) |
-1 |
(- (/ C B) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
-1 |
(- (/ C B) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
-1 |
(- (/ C B) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
(* -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))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
-1 |
(- (/ C B) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(* -1 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))))) |
-1 |
(- (/ C B) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
B |
(* B (+ 1 (* 1/2 (/ (pow (- 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))))))) |
(pow B 2) |
(* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2)))) |
(* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2)))) |
(* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2)))) |
(* -1 B) |
(* 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))))) |
(* 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 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (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)) |
1 |
(- (+ 1 (/ C B)) (/ A B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- A C) 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) B))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
1 |
(- (+ 1 (/ C B)) (/ A B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- A C) 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) B))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
1 |
(- (+ 1 (/ C B)) (/ A B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- A C) 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) B))) |
(* -1/2 (/ 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))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
1 |
(- (+ 1 (/ C B)) (/ A B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- A C) 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) B))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
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))) |
1 |
(- (+ 1 (/ C B)) (/ A B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- A C) 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) B))) |
(* -1 B) |
(* -1 (* B (+ 1 (* 1/2 (/ (pow (- 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)))))))) |
(pow B 2) |
(* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2)))) |
(* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2)))) |
(* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2)))) |
B |
(* -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 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (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)) |
(/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B) |
(- (+ (* -1 (/ (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* -1/2 (* (/ (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* A (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) B) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B) |
(- (+ (* -1 (/ (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* -1/2 (* (/ (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* A (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) B) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B) |
(- (+ (* -1 (/ (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* -1/2 (* (/ (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* A (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) B) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B) |
(- (+ (* -1 (/ (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* -1/2 (* (/ (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* A (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) B) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(- C (sqrt (+ (pow B 2) (pow C 2)))) |
(- (+ C (* -1 (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(- (+ C (* A (- (* -1/2 (* (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(- (+ C (* A (- (* A (- (* -1/2 (* (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow B 2) (pow C 2)))) (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B) |
(- (+ (* -1 (/ (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* -1/2 (* (/ (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* A (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) B) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(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)))))))))) |
(+ (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))) |
(- 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)))) |
(* 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 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (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)) |
(* -2 (/ A B)) |
(* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(* -2 (/ A B)) |
(* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(* -2 (/ A B)) |
(* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(* -2 (/ A B)) |
(* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(* -2 A) |
(* A (- (/ C A) (+ 2 (* -1 (/ C A))))) |
(* A (- (+ (* -1/2 (/ (pow B 2) (pow A 2))) (/ C A)) (+ 2 (* -1 (/ C A))))) |
(* A (- (+ (* -1/2 (/ (* (pow B 2) C) (pow A 3))) (/ C A)) (+ 2 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(* -2 (/ A B)) |
(* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
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))))))) |
(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)))))) |
(* -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))))))) |
(* 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 (* (sqrt (/ 1 (PI))) (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)))) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(* 1/2 (/ (pow B 2) A)) |
(* -1 (/ (- (* -1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A)) |
(* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) A)) (* -1/2 (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* -1 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))))) |
(pow A 2) |
(* (pow A 2) (+ 1 (* -2 (/ C A)))) |
(* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow B 2) (pow C 2)) A)) (* 2 C)) A)))) |
(* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow B 2) (pow C 2)) A)) (* 2 C)) A)))) |
(* 1/2 (/ (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)) |
| Outputs |
|---|
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) (PI.f64)) #s(literal 180 binary64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) (PI.f64)) #s(literal 180 binary64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) (PI.f64)) #s(literal 180 binary64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) (PI.f64)) #s(literal 180 binary64)) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(*.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) #s(literal 180 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(*.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) #s(literal 180 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(*.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) #s(literal 180 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(*.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) #s(literal 180 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(/.f64 (+.f64 (hypot.f64 B A) A) (neg.f64 B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (/.f64 A B) (/.f64 #s(literal 1 binary64) B)) C (/.f64 (+.f64 (hypot.f64 B A) A) (neg.f64 B))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(fma.f64 (fma.f64 (*.f64 C #s(literal -1/2 binary64)) (*.f64 (/.f64 (fma.f64 (neg.f64 A) (/.f64 A (fma.f64 B B (*.f64 A A))) #s(literal 1 binary64)) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (/.f64 A B) (/.f64 #s(literal 1 binary64) B))) C (/.f64 (+.f64 (hypot.f64 B A) A) (neg.f64 B))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(fma.f64 (fma.f64 (*.f64 C #s(literal -1/2 binary64)) (fma.f64 (/.f64 (fma.f64 (neg.f64 A) (/.f64 A (fma.f64 B B (*.f64 A A))) #s(literal 1 binary64)) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 B B (*.f64 A A)) #s(literal 3 binary64)))) (*.f64 (*.f64 (fma.f64 (neg.f64 A) (/.f64 A (fma.f64 B B (*.f64 A A))) #s(literal 1 binary64)) (/.f64 C B)) A))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (/.f64 A B) (/.f64 #s(literal 1 binary64) B))) C (/.f64 (+.f64 (hypot.f64 B A) A) (neg.f64 B))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) (PI.f64)) #s(literal 180 binary64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) (PI.f64)) #s(literal 180 binary64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) (PI.f64)) #s(literal 180 binary64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) (PI.f64)) #s(literal 180 binary64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) (PI.f64)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) |
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(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) (PI.f64)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) (PI.f64)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) (PI.f64)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) (PI.f64)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) |
(* 1/2 (/ B A)) |
(*.f64 (/.f64 B A) #s(literal 1/2 binary64)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 C A) B B) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) B (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) B (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 B C) B) C) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 B #s(literal 4 binary64)))) B) A)) (neg.f64 A))) (neg.f64 A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) B (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) B (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) C) (pow.f64 B #s(literal 4 binary64)) (*.f64 (neg.f64 C) (fma.f64 (*.f64 (*.f64 C C) B) (neg.f64 B) (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64))))) A) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) B) B) (*.f64 C C) (*.f64 #s(literal 1/8 binary64) (pow.f64 B #s(literal 4 binary64)))) B)) (neg.f64 A))) (neg.f64 A))) (neg.f64 A)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) (PI.f64)) #s(literal 180 binary64)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) (PI.f64)) #s(literal 180 binary64)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) (PI.f64)) #s(literal 180 binary64)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) (PI.f64)) #s(literal 180 binary64)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) (PI.f64)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) (PI.f64)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) (PI.f64)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) (PI.f64)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) |
(* 1/2 (/ (pow B 2) A)) |
(*.f64 (*.f64 B (/.f64 B A)) #s(literal 1/2 binary64)) |
(* -1 (/ (- (* -1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 B (*.f64 (/.f64 C A) B) (*.f64 B B)) A)) |
(* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 C C) B) (neg.f64 B) (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64))) A) (*.f64 (*.f64 B C) B)) A) (*.f64 #s(literal 1/2 binary64) (*.f64 B B))) A) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) A)) (* -1/2 (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) (*.f64 B B) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) C) (pow.f64 B #s(literal 4 binary64)) (*.f64 (neg.f64 C) (fma.f64 (*.f64 (*.f64 C C) B) (neg.f64 B) (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64))))) A) (fma.f64 (*.f64 (*.f64 C C) B) (neg.f64 B) (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64)))) A))) A) (*.f64 #s(literal 1/2 binary64) (*.f64 B B))) A) |
(* 1/2 (/ B A)) |
(*.f64 (/.f64 B A) #s(literal 1/2 binary64)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 C A) B B) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) B (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) B (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 B C) B) C) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 B #s(literal 4 binary64)))) B) A)) (neg.f64 A))) (neg.f64 A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) B (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) B (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) C) (pow.f64 B #s(literal 4 binary64)) (*.f64 (neg.f64 C) (fma.f64 (*.f64 (*.f64 C C) B) (neg.f64 B) (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64))))) A) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) B) B) (*.f64 C C) (*.f64 #s(literal 1/8 binary64) (pow.f64 B #s(literal 4 binary64)))) B)) (neg.f64 A))) (neg.f64 A))) (neg.f64 A)) |
(* -1 A) |
(neg.f64 A) |
(* -1 (* A (+ 1 (* -1 (/ C A))))) |
(fma.f64 (/.f64 C A) A (neg.f64 A)) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1/2 (/ (pow B 2) A))) A))))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 B (/.f64 B A)) #s(literal -1/2 binary64) C) A) A (neg.f64 A)) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1 (/ (+ (* 1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A))) A))))) |
(fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 B (*.f64 (/.f64 C A) B) (*.f64 B B)) A) C) A) A (neg.f64 A)) |
(pow A 2) |
(*.f64 A A) |
(* (pow A 2) (+ 1 (* -2 (/ C A)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 C A) #s(literal -2 binary64) #s(literal 1 binary64)) A) A) |
(* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow B 2) (pow C 2)) A)) (* 2 C)) A)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) C (/.f64 (fma.f64 B B (*.f64 C C)) (neg.f64 A))) A)) (*.f64 A A)) |
(* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow B 2) (pow C 2)) A)) (* 2 C)) A)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) C (/.f64 (fma.f64 B B (*.f64 C C)) (neg.f64 A))) A)) (*.f64 A A)) |
(* 1/2 (/ (pow B 2) A)) |
(*.f64 (*.f64 B (/.f64 B A)) #s(literal 1/2 binary64)) |
(* -1 (/ (- (* -1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 B (*.f64 (/.f64 C A) B) (*.f64 B B)) A)) |
(* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 C C) B) (neg.f64 B) (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64))) A) (*.f64 (*.f64 B C) B)) A) (*.f64 #s(literal 1/2 binary64) (*.f64 B B))) A) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) A)) (* -1/2 (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) (*.f64 B B) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) C) (pow.f64 B #s(literal 4 binary64)) (*.f64 (neg.f64 C) (fma.f64 (*.f64 (*.f64 C C) B) (neg.f64 B) (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64))))) A) (fma.f64 (*.f64 (*.f64 C C) B) (neg.f64 B) (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64)))) A))) A) (*.f64 #s(literal 1/2 binary64) (*.f64 B B))) A) |
| 4 714× | lower-/.f32 |
| 4 694× | lower-/.f64 |
| 4 568× | lower-*.f32 |
| 4 552× | lower-*.f64 |
| 1 992× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 543 |
| 0 | 93 | 454 |
| 1 | 325 | 428 |
| 2 | 2168 | 428 |
| 0 | 8498 | 428 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) |
(/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
(/.f64 (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 B A) #s(literal 1/2 binary64)))) (PI.f64))) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 B C) #s(literal -1/2 binary64) #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 (/.f64 B C) #s(literal -1/2 binary64) #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 (/.f64 B C) #s(literal -1/2 binary64) #s(literal 0 binary64)))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) #s(literal 0 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B)))))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))))))) (PI.f64))) |
(/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))))))) (PI.f64)) |
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))))))) |
(-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) |
(sqrt.f64 (PI.f64)) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) #s(literal 0 binary64))) |
(sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B)))) |
#s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))) |
(-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))))) |
| Outputs |
|---|
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Compiled 45 244 to 5 650 computations (87.5% saved)
28 alts after pruning (26 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 855 | 15 | 1 870 |
| Fresh | 2 | 11 | 13 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 860 | 28 | 1 888 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 78.2% | (/.f64 (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))) (sqrt.f64 (PI.f64))) |
| 32.4% | (/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 B (*.f64 (/.f64 C A) B) (*.f64 B B)) A))) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) | |
| 64.0% | (/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) | |
| 28.0% | (/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) | |
| ▶ | 28.1% | (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) #s(literal 180 binary64)) (PI.f64)) |
| 24.5% | (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) #s(literal 180 binary64)) (PI.f64)) | |
| ▶ | 24.3% | (/.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 B C)))) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) |
| 27.9% | (/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))))) | |
| 24.5% | (/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))))) | |
| 27.9% | (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/180 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))))) | |
| 24.5% | (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/180 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))))) | |
| 52.8% | (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))))) B)) (PI.f64)) #s(literal 180 binary64)) | |
| ▶ | 28.2% | (*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) #s(literal 1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| 52.5% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))))) (PI.f64))) | |
| 37.6% | (*.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))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 A C)) B) B (-.f64 A C)))))) (PI.f64))) | |
| 30.7% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) #s(literal -1/2 binary64) #s(literal 0 binary64)))) (PI.f64))) | |
| 25.6% | (*.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 -1/2 binary64) B (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) B (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 C B) B) C) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 B #s(literal 4 binary64)))) B) A)) (neg.f64 A))) (neg.f64 A)))) (PI.f64))) | |
| 50.8% | (*.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))) | |
| 51.7% | (*.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))) | |
| 11.5% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 (pow.f64 (/.f64 C B) #s(literal -3 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 B C)) (/.f64 B C))) #s(literal 1/4 binary64)))) (PI.f64))) | |
| 23.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) (PI.f64))) | |
| ✓ | 28.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) |
| 24.5% | (*.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 #s(literal -1/2 binary64) C)))) (PI.f64))) | |
| 35.4% | (*.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 (-.f64 C A) B)))) (PI.f64))) | |
| 21.5% | (*.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 A B)))) (PI.f64))) | |
| 22.2% | (*.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))) |
| ✓ | 21.2% | (*.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 846 to 776 computations (8.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) | |
| cost-diff | 0 | (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) (sqrt.f64 (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 #s(literal -1/2 binary64) (/.f64 B C)))) (sqrt.f64 (PI.f64)))) | |
| cost-diff | 1984 | (/.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 B C)))) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) | |
| cost-diff | 0 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))) | |
| cost-diff | 0 | (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) | |
| cost-diff | 0 | (*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) #s(literal 1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) | |
| cost-diff | 704 | (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))) | |
| cost-diff | 0 | (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) | |
| cost-diff | 0 | (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) #s(literal 180 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) #s(literal 180 binary64)) (PI.f64)) | |
| cost-diff | 0 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64)) | |
| cost-diff | 0 | (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) | |
| cost-diff | 0 | (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64)) | |
| cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) | |
| cost-diff | 0 | (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) | |
| cost-diff | 0 | (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) | |
| cost-diff | 1984 | (/.f64 (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))) (sqrt.f64 (PI.f64))) | |
| cost-diff | 12992 | (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))) |
| 5 088× | lower-fma.f64 |
| 5 088× | lower-fma.f32 |
| 1 904× | lower-*.f32 |
| 1 890× | lower-*.f64 |
| 1 354× | times-frac |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 611 |
| 0 | 85 | 522 |
| 1 | 133 | 488 |
| 2 | 221 | 484 |
| 3 | 425 | 476 |
| 4 | 917 | 470 |
| 5 | 1718 | 470 |
| 6 | 2916 | 470 |
| 7 | 4757 | 470 |
| 8 | 5648 | 470 |
| 9 | 5870 | 470 |
| 10 | 5882 | 470 |
| 11 | 5886 | 470 |
| 12 | 5930 | 470 |
| 13 | 6407 | 470 |
| 14 | 6659 | 470 |
| 15 | 6804 | 470 |
| 16 | 6864 | 470 |
| 17 | 6883 | 470 |
| 18 | 6883 | 470 |
| 19 | 6883 | 470 |
| 20 | 6883 | 470 |
| 21 | 6976 | 470 |
| 22 | 7505 | 470 |
| 23 | 7507 | 470 |
| 0 | 7507 | 470 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))) (sqrt.f64 (PI.f64))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) |
(/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B) |
(-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) |
(-.f64 C A) |
C |
A |
(hypot.f64 B (-.f64 A C)) |
B |
(-.f64 A C) |
(pow.f64 (PI.f64) #s(literal 1/4 binary64)) |
(PI.f64) |
#s(literal 1/4 binary64) |
(/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) |
#s(literal 180 binary64) |
(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))))) #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 #s(literal 1/2 binary64) (/.f64 B A)))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) #s(literal 180 binary64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 B A)) |
#s(literal 1/2 binary64) |
(/.f64 B A) |
B |
A |
#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 #s(literal 1/2 binary64) (/.f64 B A)))) #s(literal 1 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 #s(literal 1/2 binary64) (/.f64 B A)))) #s(literal 1 binary64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 B A)) |
#s(literal 1/2 binary64) |
(/.f64 B A) |
B |
A |
#s(literal 1 binary64) |
(/.f64 #s(literal 180 binary64) (PI.f64)) |
#s(literal 180 binary64) |
(PI.f64) |
(/.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 B C)))) (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 #s(literal -1/2 binary64) (/.f64 B C)))) (sqrt.f64 (PI.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 B C)))) (sqrt.f64 (PI.f64))) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 B C)) |
#s(literal -1/2 binary64) |
(/.f64 B C) |
B |
C |
(sqrt.f64 (PI.f64)) |
(PI.f64) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))) (sqrt.f64 (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64))) (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B))) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B)) |
(/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B) |
(/.f64 (-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) B) |
(-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) |
(-.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) A) |
(-.f64 C A) |
C |
A |
(hypot.f64 B (-.f64 A C)) |
(hypot.f64 (-.f64 A C) B) |
B |
(-.f64 A C) |
(pow.f64 (PI.f64) #s(literal 1/4 binary64)) |
(PI.f64) |
#s(literal 1/4 binary64) |
(/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) |
#s(literal 180 binary64) |
(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))))) #s(literal 0 binary64))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64)))) |
#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 #s(literal 1/2 binary64) (/.f64 B A)))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64))))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) #s(literal 180 binary64)) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) #s(literal 180 binary64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 B A)) |
(*.f64 (/.f64 B A) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 B A) |
B |
A |
#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 #s(literal 1/2 binary64) (/.f64 B A)))) #s(literal 1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64))))) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) #s(literal 1 binary64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 B A)) |
(*.f64 (/.f64 B A) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 B A) |
B |
A |
#s(literal 1 binary64) |
(/.f64 #s(literal 180 binary64) (PI.f64)) |
#s(literal 180 binary64) |
(PI.f64) |
(/.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 B C)))) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64))) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))))) |
#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 B C)))) (sqrt.f64 (PI.f64))) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))) (sqrt.f64 (PI.f64))) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B C) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 B C)) |
(*.f64 (/.f64 B C) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(/.f64 B C) |
B |
C |
(sqrt.f64 (PI.f64)) |
(PI.f64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.12258837510380827 | (*.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 B C)))) (sqrt.f64 (PI.f64)))) | |
| accuracy | 0.75 | (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) (sqrt.f64 (PI.f64))) | |
| accuracy | 1.0 | (sqrt.f64 (PI.f64)) | |
| accuracy | 53.433408280796066 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))) | |
| accuracy | 0.00390625 | (*.f64 #s(literal 1/2 binary64) (/.f64 B A)) | |
| accuracy | 0.0078125 | (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) | |
| accuracy | 0.09050751953688403 | (*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) #s(literal 1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) | |
| accuracy | 50.64719699282614 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))) | |
| accuracy | 0.0078125 | (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) | |
| accuracy | 0.09936825021923762 | (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) #s(literal 180 binary64)) | |
| accuracy | 0.1015625 | (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) #s(literal 180 binary64)) (PI.f64)) | |
| accuracy | 50.64719699282614 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))) | |
| accuracy | 0.0078125 | (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) | |
| accuracy | 0.0546875 | (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64)) | |
| accuracy | 0.11189006324130751 | (*.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 | 55.774994200683146 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64)) | |
| accuracy | 0.13014614302251903 | (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))) | |
| accuracy | 1.0 | (sqrt.f64 (PI.f64)) | |
| accuracy | 3.4355370782133123 | (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B) | |
| accuracy | 9.769527401037443 | (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) |
| 95.0ms | 176× | 0 | valid |
| 68.0ms | 48× | 2 | valid |
| 20.0ms | 32× | 1 | valid |
Compiled 576 to 46 computations (92% saved)
ival-mult: 38.0ms (25.4% of total)adjust: 31.0ms (20.8% of total)ival-div: 29.0ms (19.4% of total)ival-add: 12.0ms (8% of total)ival-hypot: 9.0ms (6% of total)ival-sub: 7.0ms (4.7% of total)ival-pow2: 6.0ms (4% of total)ival-atan: 6.0ms (4% of total)ival-sqrt: 5.0ms (3.3% of total)ival-pow: 5.0ms (3.3% of total)ival-pi: 1.0ms (0.7% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))) (patch (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))) (sqrt.f64 (PI.f64))) (patch (/.f64 (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))) (sqrt.f64 (PI.f64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ()) |
#s(alt (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) (patch (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64)) (patch (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64)) #<representation binary64>) () ()) |
#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64)) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) #s(literal 180 binary64)) (PI.f64)) (patch (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) #s(literal 180 binary64)) (PI.f64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) #s(literal 180 binary64)) (patch (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) #s(literal 180 binary64)) #<representation binary64>) () ()) |
#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))) #<representation binary64>) () ()) |
#s(alt (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) #s(literal 1 binary64)) (patch (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) #s(literal 1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) (patch (*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) #s(literal 1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) #<representation binary64>) () ()) |
#s(alt (/.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 B C)))) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) (patch (/.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 B C)))) (sqrt.f64 (PI.f64)))) (sqrt.f64 (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))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) (sqrt.f64 (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 #s(literal -1/2 binary64) (/.f64 B C)))) (sqrt.f64 (PI.f64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) (sqrt.f64 (PI.f64))) (patch (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) (sqrt.f64 (PI.f64))) #<representation binary64>) () ()) |
#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) (patch (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B) (patch (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/2 binary64) (/.f64 B A)) (patch (*.f64 #s(literal 1/2 binary64) (/.f64 B A)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) (taylor 0 C) (#s(alt (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))) (patch (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) (taylor 0 C) (#s(alt (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))) (patch (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) (taylor 0 C) (#s(alt (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))) (patch (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) (taylor 0 C) (#s(alt (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))) (patch (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor 0 C) (#s(alt (/.f64 (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))) (sqrt.f64 (PI.f64))) (patch (/.f64 (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))) (sqrt.f64 (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor 0 C) (#s(alt (/.f64 (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))) (sqrt.f64 (PI.f64))) (patch (/.f64 (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))) (sqrt.f64 (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor 0 C) (#s(alt (/.f64 (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))) (sqrt.f64 (PI.f64))) (patch (/.f64 (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))) (sqrt.f64 (PI.f64))) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 43.0ms | C | @ | 0 | ((* (/ (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) (pow (PI) 1/4)) (/ 180 (pow (PI) 1/4))) (/ (* (/ (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) (pow (PI) 1/4)) (/ 180 (pow (PI) 1/4))) (sqrt (PI))) (/ (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) (pow (PI) 1/4)) (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/ (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (PI)) (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 1) (* (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 1) (/ 180 (PI))) (/ (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (sqrt (PI)))) (sqrt (PI))) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (sqrt (PI)))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (sqrt (PI))) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (sqrt (PI)) (* 1/2 (/ B A)) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) |
| 12.0ms | A | @ | inf | ((* (/ (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) (pow (PI) 1/4)) (/ 180 (pow (PI) 1/4))) (/ (* (/ (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) (pow (PI) 1/4)) (/ 180 (pow (PI) 1/4))) (sqrt (PI))) (/ (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) (pow (PI) 1/4)) (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/ (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (PI)) (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 1) (* (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 1) (/ 180 (PI))) (/ (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (sqrt (PI)))) (sqrt (PI))) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (sqrt (PI)))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (sqrt (PI))) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (sqrt (PI)) (* 1/2 (/ B A)) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) |
| 11.0ms | B | @ | inf | ((* (/ (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) (pow (PI) 1/4)) (/ 180 (pow (PI) 1/4))) (/ (* (/ (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) (pow (PI) 1/4)) (/ 180 (pow (PI) 1/4))) (sqrt (PI))) (/ (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) (pow (PI) 1/4)) (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/ (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (PI)) (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 1) (* (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 1) (/ 180 (PI))) (/ (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (sqrt (PI)))) (sqrt (PI))) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (sqrt (PI)))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (sqrt (PI))) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (sqrt (PI)) (* 1/2 (/ B A)) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) |
| 11.0ms | C | @ | -inf | ((* (/ (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) (pow (PI) 1/4)) (/ 180 (pow (PI) 1/4))) (/ (* (/ (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) (pow (PI) 1/4)) (/ 180 (pow (PI) 1/4))) (sqrt (PI))) (/ (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) (pow (PI) 1/4)) (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/ (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (PI)) (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 1) (* (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 1) (/ 180 (PI))) (/ (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (sqrt (PI)))) (sqrt (PI))) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (sqrt (PI)))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (sqrt (PI))) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (sqrt (PI)) (* 1/2 (/ B A)) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) |
| 9.0ms | B | @ | -inf | ((* (/ (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) (pow (PI) 1/4)) (/ 180 (pow (PI) 1/4))) (/ (* (/ (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) (pow (PI) 1/4)) (/ 180 (pow (PI) 1/4))) (sqrt (PI))) (/ (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) (pow (PI) 1/4)) (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B)) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/ (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (PI)) (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 1) (* (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 1) (/ 180 (PI))) (/ (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (sqrt (PI)))) (sqrt (PI))) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (sqrt (PI)))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (sqrt (PI))) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) (/ (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) B) (sqrt (PI)) (* 1/2 (/ B A)) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) |
| 1× | egg-herbie |
| 8 400× | lower-fma.f64 |
| 8 400× | lower-fma.f32 |
| 6 128× | lower-*.f64 |
| 6 128× | lower-*.f32 |
| 3 148× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 483 | 16651 |
| 1 | 1422 | 16335 |
| 2 | 4124 | 16254 |
| 0 | 8189 | 12873 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (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))) |
(* (pow (/ 1 (PI)) 1/4) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* (pow (/ 1 (PI)) 1/4) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* (pow (/ 1 (PI)) 1/4) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* (pow (/ 1 (PI)) 1/4) (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)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- 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)) |
(* 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 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* (sqrt (/ 1 (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)) |
(* -1 (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(- (* C (- 1 (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(- (* C (- (+ 1 (* -1/2 (* (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(- (* C (- (+ 1 (* C (- (* -1/2 (* (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow A 2) (pow B 2)))) (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (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))) |
(* (pow (/ 1 (PI)) 1/4) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* (pow (/ 1 (PI)) 1/4) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* (pow (/ 1 (PI)) 1/4) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* (pow (/ 1 (PI)) 1/4) (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)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(* -1 (/ (+ A (* -1 A)) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(* -1 (/ (+ A (* -1 A)) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- 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)) |
(* 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 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* (sqrt (/ 1 (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)) |
(* -1 (+ A (* -1 A))) |
(- (* -1/2 (/ (pow B 2) C)) (+ A (* -1 A))) |
(- (* -1/2 (/ (* A (pow B 2)) (pow C 2))) (+ A (+ (* -1 A) (* 1/2 (/ (pow B 2) C))))) |
(- (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (pow C 3))) (+ A (+ (* -1 A) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 2))) (* 1/2 (/ (pow B 2) C)))))) |
(* -1 (/ (+ A (* -1 A)) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
(* -1 (/ (+ A (* -1 A)) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (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))) |
(* (pow (/ 1 (PI)) 1/4) (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B)))) |
(* (pow (/ 1 (PI)) 1/4) (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B)))) |
(* (pow (/ 1 (PI)) 1/4) (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B)))) |
(* (pow (/ 1 (PI)) 1/4) (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B)))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 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)))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(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))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))))) |
(* (sqrt (/ 1 (PI))) (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B)))) |
(* (sqrt (/ 1 (PI))) (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B)))) |
(* (sqrt (/ 1 (PI))) (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B)))) |
(* (sqrt (/ 1 (PI))) (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B)))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(* 2 C) |
(* -1 (* C (- (* 2 (/ A C)) 2))) |
(* -1 (* C (- (* -1 (/ (- (* 1/2 (/ (pow B 2) C)) (* 2 A)) C)) 2))) |
(* -1 (* C (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C)) (* 2 A)) C)) 2))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (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))) |
(* (pow (/ 1 (PI)) 1/4) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* (pow (/ 1 (PI)) 1/4) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* (pow (/ 1 (PI)) 1/4) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* (pow (/ 1 (PI)) 1/4) (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)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(/ (- (* 2 C) (* 2 A)) B) |
(/ (- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(/ (- (* 2 C) (* 2 A)) B) |
(/ (- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- 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)) |
(* 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 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* (sqrt (/ 1 (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)) |
(- (* 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)) |
(/ (- (* 2 C) (* 2 A)) B) |
(/ (- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B 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) |
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(* (pow (/ 1 (PI)) 1/4) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* (pow (/ 1 (PI)) 1/4) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* (pow (/ 1 (PI)) 1/4) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* (pow (/ 1 (PI)) 1/4) (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)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
-1 |
(- (/ C B) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
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(* 180 (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)) |
-1 |
(- (/ C B) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- 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)) |
(* 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 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* (sqrt (/ 1 (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)) |
(* -1 B) |
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(* 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))))) |
-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))) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
-1 |
(- (/ C B) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
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(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* (pow (/ 1 (PI)) 1/4) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* (pow (/ 1 (PI)) 1/4) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* (pow (/ 1 (PI)) 1/4) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* (pow (/ 1 (PI)) 1/4) (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)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
1 |
(- (+ 1 (/ C B)) (/ A B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- A C) 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) B))) |
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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)) |
1 |
(- (+ 1 (/ C B)) (/ A B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- A C) 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) B))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- 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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(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* (sqrt (/ 1 (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)) |
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))) |
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))) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
1 |
(- (+ 1 (/ C B)) (/ A B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- A C) 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) B))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
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(* (pow (/ 1 (PI)) 1/4) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* (pow (/ 1 (PI)) 1/4) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* (pow (/ 1 (PI)) 1/4) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* (pow (/ 1 (PI)) 1/4) (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)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B) |
(- (+ (* -1 (/ (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* -1/2 (* (/ (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* A (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) B) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(* 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))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B) |
(- (+ (* -1 (/ (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
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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)) |
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(* (sqrt (/ 1 (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)) |
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(- (+ C (* -1 (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
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(/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B) |
(- (+ (* -1 (/ (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* -1/2 (* (/ (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* A (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) B) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
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(* (pow (/ 1 (PI)) 1/4) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* (pow (/ 1 (PI)) 1/4) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* (pow (/ 1 (PI)) 1/4) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* (pow (/ 1 (PI)) 1/4) (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)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
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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)) |
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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))))) |
(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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(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
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(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* (sqrt (/ 1 (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)) |
(* -2 A) |
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(* A (- (+ (* -1/2 (/ (* (pow B 2) C) (pow A 3))) (/ C A)) (+ 2 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(* -2 (/ A B)) |
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(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
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(* 1/2 (/ B A)) |
(* -2 (/ A B)) |
(* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
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(* (pow (/ 1 (PI)) 1/4) (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B))) |
(* (pow (/ 1 (PI)) 1/4) (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B))) |
(* (pow (/ 1 (PI)) 1/4) (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B))) |
(* (pow (/ 1 (PI)) 1/4) (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B))) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
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(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
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(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(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)) |
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(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)))) |
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(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 (/ (pow B 2) A)) |
(* -1 (/ (- (* -1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A)) |
(* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) A)) (* -1/2 (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
| Outputs |
|---|
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 180 binary64)) (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 180 binary64)) (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 180 binary64)) (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 180 binary64)) (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* (pow (/ 1 (PI)) 1/4) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1/4 binary64))) |
(* (pow (/ 1 (PI)) 1/4) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1/4 binary64))) |
(* (pow (/ 1 (PI)) 1/4) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1/4 binary64))) |
(* (pow (/ 1 (PI)) 1/4) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1/4 binary64))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) (PI.f64)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(/.f64 (+.f64 (hypot.f64 B A) A) (neg.f64 B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (/.f64 A B) (/.f64 #s(literal 1 binary64) B)) C (/.f64 (+.f64 (hypot.f64 B A) A) (neg.f64 B))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 A (/.f64 A (fma.f64 B B (*.f64 A A))) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))))) B) C (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (/.f64 A B) (/.f64 #s(literal 1 binary64) B))) C (/.f64 (+.f64 (hypot.f64 B A) A) (neg.f64 B))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(fma.f64 (fma.f64 (*.f64 C #s(literal -1/2 binary64)) (fma.f64 (/.f64 (fma.f64 (neg.f64 A) (/.f64 A (fma.f64 B B (*.f64 A A))) #s(literal 1 binary64)) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 B B (*.f64 A A)) #s(literal 3 binary64)))) (*.f64 (*.f64 (fma.f64 (neg.f64 A) (/.f64 A (fma.f64 B B (*.f64 A A))) #s(literal 1 binary64)) (/.f64 C B)) A))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (/.f64 A B) (/.f64 #s(literal 1 binary64) B))) C (/.f64 (+.f64 (hypot.f64 B A) A) (neg.f64 B))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) #s(literal 180 binary64)) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) #s(literal 180 binary64)) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) #s(literal 180 binary64)) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) #s(literal 180 binary64)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(/.f64 (+.f64 (hypot.f64 B A) A) (neg.f64 B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (/.f64 A B) (/.f64 #s(literal 1 binary64) B)) C (/.f64 (+.f64 (hypot.f64 B A) A) (neg.f64 B))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 A (/.f64 A (fma.f64 B B (*.f64 A A))) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))))) B) C (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (/.f64 A B) (/.f64 #s(literal 1 binary64) B))) C (/.f64 (+.f64 (hypot.f64 B A) A) (neg.f64 B))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(fma.f64 (fma.f64 (*.f64 C #s(literal -1/2 binary64)) (fma.f64 (/.f64 (fma.f64 (neg.f64 A) (/.f64 A (fma.f64 B B (*.f64 A A))) #s(literal 1 binary64)) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 B B (*.f64 A A)) #s(literal 3 binary64)))) (*.f64 (*.f64 (fma.f64 (neg.f64 A) (/.f64 A (fma.f64 B B (*.f64 A A))) #s(literal 1 binary64)) (/.f64 C B)) A))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (/.f64 A B) (/.f64 #s(literal 1 binary64) B))) C (/.f64 (+.f64 (hypot.f64 B A) A) (neg.f64 B))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 180 binary64)) (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 180 binary64)) (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 180 binary64)) (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 180 binary64)) (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
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(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) |
(* 1/2 (/ B A)) |
(*.f64 (/.f64 B A) #s(literal 1/2 binary64)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(*.f64 (/.f64 (fma.f64 (/.f64 C A) B B) A) #s(literal 1/2 binary64)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) B (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) B (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 B C) B) C) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 B #s(literal 4 binary64)))) B) A)) (neg.f64 A))) (neg.f64 A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) B (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) B (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) C) (pow.f64 B #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 C C) B) (neg.f64 B) (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64))) (neg.f64 C))) B) (/.f64 #s(literal -1/2 binary64) A) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) B) B) (*.f64 C C) (*.f64 #s(literal 1/8 binary64) (pow.f64 B #s(literal 4 binary64)))) B)) (neg.f64 A))) (neg.f64 A))) (neg.f64 A)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) #s(literal 180 binary64)) |
(* 180 (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) #s(literal 180 binary64)) |
(* 180 (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) #s(literal 180 binary64)) |
(* 180 (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) #s(literal 180 binary64)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) |
(* 1/2 (/ B A)) |
(*.f64 (/.f64 B A) #s(literal 1/2 binary64)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(*.f64 (/.f64 (fma.f64 (/.f64 C A) B B) A) #s(literal 1/2 binary64)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) B (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) B (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 B C) B) C) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 B #s(literal 4 binary64)))) B) A)) (neg.f64 A))) (neg.f64 A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) B (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) B (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) C) (pow.f64 B #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 C C) B) (neg.f64 B) (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64))) (neg.f64 C))) B) (/.f64 #s(literal -1/2 binary64) A) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) B) B) (*.f64 C C) (*.f64 #s(literal 1/8 binary64) (pow.f64 B #s(literal 4 binary64)))) B)) (neg.f64 A))) (neg.f64 A))) (neg.f64 A)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 180 binary64)) (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 180 binary64)) (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 180 binary64)) (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 180 binary64)) (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) |
(* 1/2 (/ (pow B 2) A)) |
(*.f64 (*.f64 B (/.f64 B A)) #s(literal 1/2 binary64)) |
(* -1 (/ (- (* -1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 B (*.f64 (/.f64 C A) B) (*.f64 B B)) A)) |
(* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) B) B (/.f64 (*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 C C) B) (neg.f64 B) (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64))) A) (*.f64 (*.f64 B C) B)) #s(literal -1/2 binary64)) A)) A) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) A)) (* -1/2 (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) B) B (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) C) (pow.f64 B #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 C C) B) (neg.f64 B) (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64))) (neg.f64 C))) A) (fma.f64 (*.f64 (*.f64 C C) B) (neg.f64 B) (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64)))) A) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 B C) B) #s(literal 1/2 binary64))) A)) A) |
(* 1/2 (/ B A)) |
(*.f64 (/.f64 B A) #s(literal 1/2 binary64)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(*.f64 (/.f64 (fma.f64 (/.f64 C A) B B) A) #s(literal 1/2 binary64)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) B (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) B (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 B C) B) C) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 B #s(literal 4 binary64)))) B) A)) (neg.f64 A))) (neg.f64 A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) B (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) B (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) C) (pow.f64 B #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 C C) B) (neg.f64 B) (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64))) (neg.f64 C))) B) (/.f64 #s(literal -1/2 binary64) A) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) B) B) (*.f64 C C) (*.f64 #s(literal 1/8 binary64) (pow.f64 B #s(literal 4 binary64)))) B)) (neg.f64 A))) (neg.f64 A))) (neg.f64 A)) |
(* 1/2 (/ B A)) |
(*.f64 (/.f64 B A) #s(literal 1/2 binary64)) |
(* 1/2 (/ B A)) |
(*.f64 (/.f64 B A) #s(literal 1/2 binary64)) |
(* 1/2 (/ B A)) |
(*.f64 (/.f64 B A) #s(literal 1/2 binary64)) |
(* 1/2 (/ B A)) |
(*.f64 (/.f64 B A) #s(literal 1/2 binary64)) |
(* 1/2 (/ B A)) |
(*.f64 (/.f64 B A) #s(literal 1/2 binary64)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(*.f64 (/.f64 (fma.f64 (/.f64 C A) B B) A) #s(literal 1/2 binary64)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) B (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) B (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 B C) B) C) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 B #s(literal 4 binary64)))) B) A)) (neg.f64 A))) (neg.f64 A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) B (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) B (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) C) (pow.f64 B #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 C C) B) (neg.f64 B) (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64))) (neg.f64 C))) B) (/.f64 #s(literal -1/2 binary64) A) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) B) B) (*.f64 C C) (*.f64 #s(literal 1/8 binary64) (pow.f64 B #s(literal 4 binary64)))) B)) (neg.f64 A))) (neg.f64 A))) (neg.f64 A)) |
| 3 986× | lower-/.f32 |
| 3 984× | lower-*.f32 |
| 3 970× | lower-*.f64 |
| 3 962× | lower-/.f64 |
| 2 446× | lower-fma.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 494 |
| 0 | 85 | 385 |
| 1 | 313 | 367 |
| 2 | 1984 | 367 |
| 0 | 8285 | 367 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))) |
(/.f64 (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))) (sqrt.f64 (PI.f64))) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) #s(literal 180 binary64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) #s(literal 1 binary64)) |
(*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) #s(literal 1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(/.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 B C)))) (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 #s(literal -1/2 binary64) (/.f64 B C)))) (sqrt.f64 (PI.f64)))) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) (sqrt.f64 (PI.f64))) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) |
(-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) |
(/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B) |
(sqrt.f64 (PI.f64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 B A)) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))) |
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Compiled 40 863 to 3 980 computations (90.3% saved)
26 alts after pruning (22 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 691 | 10 | 1 701 |
| Fresh | 9 | 12 | 21 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 703 | 26 | 1 729 |
| Status | Accuracy | Program |
|---|---|---|
| 63.4% | (/.f64 (*.f64 (/.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) (-.f64 C (hypot.f64 B C))) B)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))) (sqrt.f64 (PI.f64))) | |
| 32.4% | (/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 B (*.f64 (/.f64 C A) B) (*.f64 B B)) A))) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) | |
| ▶ | 64.0% | (/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) |
| 25.6% | (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) B (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) B (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 B C) B) C) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 B #s(literal 4 binary64)))) B) A)) (neg.f64 A))) (neg.f64 A)))) #s(literal 180 binary64)) (PI.f64)) | |
| ▶ | 27.9% | (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(literal 1/2 binary64) (/.f64 A B)))) #s(literal 180 binary64)) (PI.f64)) |
| 51.7% | (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) (PI.f64)) | |
| ▶ | 23.1% | (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
| 24.5% | (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))) #s(literal 180 binary64)) (PI.f64)) | |
| 35.4% | (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 C A) B)))) #s(literal 180 binary64)) (PI.f64)) | |
| 21.5% | (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -2 binary64) (/.f64 A B)))) #s(literal 180 binary64)) (PI.f64)) | |
| ▶ | 22.2% | (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) #s(literal 180 binary64)) (PI.f64)) |
| ✓ | 24.3% | (/.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 B C)))) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) |
| 28.2% | (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/180 binary64))) | |
| 24.5% | (/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))))) | |
| 27.9% | (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/180 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))))) | |
| 24.5% | (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/180 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))))) | |
| 52.8% | (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))))) B)) (PI.f64)) #s(literal 180 binary64)) | |
| 52.5% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))))) (PI.f64))) | |
| 37.6% | (*.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))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 A C)) B) B (-.f64 A C)))))) (PI.f64))) | |
| ▶ | 30.7% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) #s(literal -1/2 binary64) #s(literal 0 binary64)))) (PI.f64))) |
| 50.8% | (*.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))) | |
| 11.5% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 (pow.f64 (/.f64 C B) #s(literal -3 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 B C)) (/.f64 B C))) #s(literal 1/4 binary64)))) (PI.f64))) | |
| ✓ | 28.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) |
| 24.5% | (*.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 #s(literal -1/2 binary64) 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))) |
| ✓ | 21.2% | (*.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 762 to 694 computations (8.9% 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 (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) #s(literal -1/2 binary64) #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 (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) #s(literal -1/2 binary64) #s(literal 0 binary64)))) (PI.f64))) | |
| cost-diff | 64 | (fma.f64 (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) #s(literal -1/2 binary64) #s(literal 0 binary64)) | |
| cost-diff | 704 | (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) | |
| cost-diff | 0 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(literal 1/2 binary64) (/.f64 A B))) | |
| cost-diff | 0 | (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(literal 1/2 binary64) (/.f64 A B)))) | |
| cost-diff | 0 | (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(literal 1/2 binary64) (/.f64 A B)))) #s(literal 180 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(literal 1/2 binary64) (/.f64 A B)))) #s(literal 180 binary64)) (PI.f64)) | |
| cost-diff | 0 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64))) | |
| cost-diff | 0 | (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) #s(literal 180 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) #s(literal 180 binary64)) (PI.f64)) | |
| cost-diff | 0 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) #s(literal 180 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) #s(literal 180 binary64)) (PI.f64)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B) | |
| cost-diff | 0 | (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B)) | |
| cost-diff | 0 | (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) | |
| cost-diff | 1984 | (/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) |
| 7 184× | lower-fma.f32 |
| 7 180× | lower-fma.f64 |
| 2 530× | lower-*.f32 |
| 2 518× | lower-*.f64 |
| 1 660× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 666 |
| 0 | 92 | 651 |
| 1 | 147 | 619 |
| 2 | 242 | 615 |
| 3 | 466 | 609 |
| 4 | 965 | 609 |
| 5 | 2013 | 609 |
| 6 | 4103 | 609 |
| 7 | 6086 | 609 |
| 8 | 6953 | 609 |
| 9 | 7480 | 609 |
| 10 | 7831 | 609 |
| 11 | 7892 | 609 |
| 0 | 8179 | 498 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) |
(*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) |
(atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B)) |
(/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B) |
#s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) |
(neg.f64 (+.f64 (hypot.f64 B A) A)) |
(+.f64 (hypot.f64 B A) A) |
(hypot.f64 B A) |
B |
A |
(/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64))) |
#s(literal 180 binary64) |
(sqrt.f64 (PI.f64)) |
(PI.f64) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) #s(literal 180 binary64)) |
(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) |
#s(literal 180 binary64) |
(PI.f64) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) #s(literal 180 binary64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64))) |
(*.f64 (/.f64 C B) #s(literal 2 binary64)) |
(/.f64 C B) |
C |
B |
#s(literal 2 binary64) |
#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 #s(literal 1/2 binary64) (/.f64 A B)))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(literal 1/2 binary64) (/.f64 A B)))) #s(literal 180 binary64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(literal 1/2 binary64) (/.f64 A B)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(literal 1/2 binary64) (/.f64 A B))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 A B)) |
#s(literal 1/2 binary64) |
(/.f64 A B) |
A |
B |
#s(literal 180 binary64) |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) #s(literal -1/2 binary64) #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 (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) #s(literal -1/2 binary64) #s(literal 0 binary64)))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) #s(literal -1/2 binary64) #s(literal 0 binary64)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) #s(literal -1/2 binary64) #s(literal 0 binary64))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) #s(literal -1/2 binary64) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) |
(/.f64 (/.f64 B C) C) |
(/.f64 B C) |
B |
C |
A |
#s(literal -1/2 binary64) |
#s(literal 0 binary64) |
(PI.f64) |
| Outputs |
|---|
(/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B))) |
(*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64))) (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B))) |
(atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B)) |
(/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B) |
#s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) |
(neg.f64 (+.f64 (hypot.f64 B A) A)) |
(+.f64 (hypot.f64 B A) A) |
(hypot.f64 B A) |
B |
A |
(/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64))) |
#s(literal 180 binary64) |
(sqrt.f64 (PI.f64)) |
(PI.f64) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64)))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) #s(literal 180 binary64)) |
(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) |
#s(literal 180 binary64) |
(PI.f64) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64))))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) #s(literal 180 binary64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64))) |
(*.f64 (/.f64 C B) #s(literal 2 binary64)) |
(/.f64 C B) |
C |
B |
#s(literal 2 binary64) |
#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 #s(literal 1/2 binary64) (/.f64 A B)))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(literal 1/2 binary64) (/.f64 A B))))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(literal 1/2 binary64) (/.f64 A B)))) #s(literal 180 binary64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(literal 1/2 binary64) (/.f64 A B)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(literal 1/2 binary64) (/.f64 A B))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 A B)) |
#s(literal 1/2 binary64) |
(/.f64 A B) |
A |
B |
#s(literal 180 binary64) |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) #s(literal -1/2 binary64) #s(literal 0 binary64)))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) C) A #s(literal -1/2 binary64)) C) B)))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) #s(literal -1/2 binary64) #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 (fma.f64 (/.f64 #s(literal -1/2 binary64) C) A #s(literal -1/2 binary64)) C) B))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) #s(literal -1/2 binary64) #s(literal 0 binary64)))) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) C) A #s(literal -1/2 binary64)) C) B))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) #s(literal -1/2 binary64) #s(literal 0 binary64))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) C) A #s(literal -1/2 binary64)) C) B)) |
(fma.f64 (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) #s(literal -1/2 binary64) #s(literal 0 binary64)) |
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) C) A #s(literal -1/2 binary64)) C) B) |
(fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) |
(/.f64 (fma.f64 (/.f64 A C) B B) C) |
(/.f64 (/.f64 B C) C) |
(/.f64 B C) |
B |
C |
A |
#s(literal -1/2 binary64) |
#s(literal 0 binary64) |
(PI.f64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.11189006324130751 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) #s(literal -1/2 binary64) #s(literal 0 binary64)))) (PI.f64))) | |
| accuracy | 0.1328125 | (/.f64 (/.f64 B C) C) | |
| accuracy | 5.688070577100729 | (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) | |
| accuracy | 52.69674264816545 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) #s(literal -1/2 binary64) #s(literal 0 binary64))) | |
| accuracy | 0.09936825021923762 | (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(literal 1/2 binary64) (/.f64 A B)))) #s(literal 180 binary64)) | |
| accuracy | 0.1015625 | (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(literal 1/2 binary64) (/.f64 A B)))) #s(literal 180 binary64)) (PI.f64)) | |
| accuracy | 0.4653682814991593 | (/.f64 #s(literal 1/2 binary64) (/.f64 A B)) | |
| accuracy | 50.64719699282614 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(literal 1/2 binary64) (/.f64 A B))) | |
| accuracy | 0.01171875 | (*.f64 (/.f64 C B) #s(literal 2 binary64)) | |
| accuracy | 0.09936825021923762 | (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) #s(literal 180 binary64)) | |
| accuracy | 0.1015625 | (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) #s(literal 180 binary64)) (PI.f64)) | |
| accuracy | 51.187162680693945 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64))) | |
| accuracy | 0.0078125 | (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) | |
| accuracy | 0.09936825021923762 | (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) #s(literal 180 binary64)) | |
| accuracy | 0.1015625 | (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) #s(literal 180 binary64)) (PI.f64)) | |
| accuracy | 51.420948488793314 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64)) | |
| accuracy | 1.0 | (sqrt.f64 (PI.f64)) | |
| accuracy | 3.4355370782133123 | (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B) | |
| accuracy | 7.623014300419566 | (+.f64 (hypot.f64 B A) A) | |
| accuracy | 17.734785444295976 | #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) |
| 112.0ms | 167× | 0 | valid |
| 55.0ms | 52× | 2 | valid |
| 24.0ms | 37× | 1 | valid |
Compiled 539 to 47 computations (91.3% saved)
ival-mult: 27.0ms (23.5% of total)ival-div: 23.0ms (20% of total)ival-hypot: 16.0ms (13.9% of total)ival-sub: 13.0ms (11.3% of total)adjust: 10.0ms (8.7% of total)ival-add: 7.0ms (6.1% of total)ival-pow2: 6.0ms (5.2% of total)ival-sqrt: 5.0ms (4.3% of total)ival-atan: 5.0ms (4.3% of total)ival-neg: 2.0ms (1.7% of total)ival-pi: 1.0ms (0.9% of total)exact: 1.0ms (0.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) (patch (/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (patch (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) #<representation binary64>) () ()) |
#s(alt (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B)) (patch (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B) (patch (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) #s(literal 180 binary64)) (PI.f64)) (patch (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) #s(literal 180 binary64)) (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))) #s(literal 180 binary64)) (patch (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) #s(literal 180 binary64)) #<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 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) #s(literal 180 binary64)) (PI.f64)) (patch (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) #s(literal 180 binary64)) (PI.f64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) #s(literal 180 binary64)) (patch (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) #s(literal 180 binary64)) #<representation binary64>) () ()) |
#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(literal 1/2 binary64) (/.f64 A B)))) #s(literal 180 binary64)) (PI.f64)) (patch (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(literal 1/2 binary64) (/.f64 A B)))) #s(literal 180 binary64)) (PI.f64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(literal 1/2 binary64) (/.f64 A B)))) #s(literal 180 binary64)) (patch (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(literal 1/2 binary64) (/.f64 A B)))) #s(literal 180 binary64)) #<representation binary64>) () ()) |
#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(literal 1/2 binary64) (/.f64 A B)))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(literal 1/2 binary64) (/.f64 A B)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(literal 1/2 binary64) (/.f64 A B))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(literal 1/2 binary64) (/.f64 A B))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) (patch (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) #s(literal -1/2 binary64) #s(literal 0 binary64)) (patch (fma.f64 (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) #s(literal -1/2 binary64) #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 (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) #s(literal -1/2 binary64) #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 (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) #s(literal -1/2 binary64) #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 (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) #s(literal -1/2 binary64) #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 (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) #s(literal -1/2 binary64) #s(literal 0 binary64)))) (PI.f64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) (patch #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) #<representation binary64>) () ()) |
#s(alt (+.f64 (hypot.f64 B A) A) (patch (+.f64 (hypot.f64 B A) A) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 C B) #s(literal 2 binary64)) (patch (*.f64 (/.f64 C B) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 A B)) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 A B)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) #s(literal -1/2 binary64) #s(literal 0 binary64))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) #s(literal -1/2 binary64) #s(literal 0 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 B C) C) (patch (/.f64 (/.f64 B C) C) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor 0 C) (#s(alt (/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) (patch (/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor 0 C) (#s(alt (/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) (patch (/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor 0 C) (#s(alt (/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) (patch (/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor 0 C) (#s(alt (/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) (patch (/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) (taylor 0 C) (#s(alt (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (patch (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) (taylor 0 C) (#s(alt (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (patch (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) (taylor 0 C) (#s(alt (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (patch (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) (taylor 0 C) (#s(alt (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (patch (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (taylor 0 C) (#s(alt (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B)) (patch (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B)) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (taylor 0 C) (#s(alt (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B)) (patch (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B)) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (taylor 0 C) (#s(alt (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B)) (patch (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) (taylor -inf A) (#s(alt (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) #s(literal -1/2 binary64) #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 (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) #s(literal -1/2 binary64) #s(literal 0 binary64)))) (PI.f64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) (taylor -inf A) (#s(alt (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) #s(literal -1/2 binary64) #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 (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) #s(literal -1/2 binary64) #s(literal 0 binary64)))) (PI.f64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) (taylor -inf A) (#s(alt (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) #s(literal -1/2 binary64) #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 (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) #s(literal -1/2 binary64) #s(literal 0 binary64)))) (PI.f64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) (taylor -inf A) (#s(alt (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) #s(literal -1/2 binary64) #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 (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) #s(literal -1/2 binary64) #s(literal 0 binary64)))) (PI.f64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (pow B 2) A)) (taylor -inf A) (#s(alt #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) (patch #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A)) (taylor -inf A) (#s(alt #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) (patch #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) (taylor -inf A) (#s(alt #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) (patch #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) A)) (* -1/2 (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) (taylor -inf A) (#s(alt #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) (patch #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ (pow B 2) A)) (taylor -inf A) (#s(alt (+.f64 (hypot.f64 B A) A) (patch (+.f64 (hypot.f64 B A) A) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1/8 (/ (pow B 4) (pow A 2))) (* 1/2 (pow B 2))) A)) (taylor -inf A) (#s(alt (+.f64 (hypot.f64 B A) A) (patch (+.f64 (hypot.f64 B A) A) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1/8 (/ (pow B 4) (pow A 2))) (+ (* 1/16 (/ (pow B 6) (pow A 4))) (* 1/2 (pow B 2)))) A)) (taylor -inf A) (#s(alt (+.f64 (hypot.f64 B A) A) (patch (+.f64 (hypot.f64 B A) A) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1/2 (/ (+ (* 1/64 (pow B 8)) (* 1/16 (pow B 8))) (pow A 6))) (+ (* -1/8 (/ (pow B 4) (pow A 2))) (+ (* 1/16 (/ (pow B 6) (pow A 4))) (* 1/2 (pow B 2))))) A)) (taylor -inf A) (#s(alt (+.f64 (hypot.f64 B A) A) (patch (+.f64 (hypot.f64 B A) A) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ B A)) (taylor -inf A) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 A B)) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 A B)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ B A)) (taylor -inf A) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 A B)) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 A B)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ B A)) (taylor -inf A) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 A B)) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 A B)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ B A)) (taylor -inf A) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 A B)) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 A B)) #<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 (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) #s(literal -1/2 binary64) #s(literal 0 binary64))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) #s(literal -1/2 binary64) #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 (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) #s(literal -1/2 binary64) #s(literal 0 binary64))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) #s(literal -1/2 binary64) #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 (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) #s(literal -1/2 binary64) #s(literal 0 binary64))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) #s(literal -1/2 binary64) #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 (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) #s(literal -1/2 binary64) #s(literal 0 binary64))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) #s(literal -1/2 binary64) #s(literal 0 binary64))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | B | @ | -inf | ((/ (* (atan (/ (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) B)) (/ 180 (sqrt (PI)))) (sqrt (PI))) (* (atan (/ (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) B)) (/ 180 (sqrt (PI)))) (atan (/ (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) B)) (/ (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) B) (/ (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (PI)) (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/ (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (PI)) (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/ (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (PI)) (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+ (* (/ (/ B C) C) A) (/ B C)) (+ (* (+ (* (/ (/ B C) C) A) (/ B C)) -1/2) 0) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (+ (sqrt (+ (* B B) (* A A))) A) (sqrt (PI)) (* (/ C B) 2) (/ 1/2 (/ A B)) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/ (/ B C) C)) |
| 4.0ms | B | @ | 0 | ((/ (* (atan (/ (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) B)) (/ 180 (sqrt (PI)))) (sqrt (PI))) (* (atan (/ (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) B)) (/ 180 (sqrt (PI)))) (atan (/ (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) B)) (/ (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) B) (/ (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (PI)) (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/ (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (PI)) (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/ (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (PI)) (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+ (* (/ (/ B C) C) A) (/ B C)) (+ (* (+ (* (/ (/ B C) C) A) (/ B C)) -1/2) 0) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (+ (sqrt (+ (* B B) (* A A))) A) (sqrt (PI)) (* (/ C B) 2) (/ 1/2 (/ A B)) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/ (/ B C) C)) |
| 4.0ms | B | @ | inf | ((/ (* (atan (/ (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) B)) (/ 180 (sqrt (PI)))) (sqrt (PI))) (* (atan (/ (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) B)) (/ 180 (sqrt (PI)))) (atan (/ (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) B)) (/ (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) B) (/ (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (PI)) (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/ (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (PI)) (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/ (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (PI)) (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+ (* (/ (/ B C) C) A) (/ B C)) (+ (* (+ (* (/ (/ B C) C) A) (/ B C)) -1/2) 0) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (+ (sqrt (+ (* B B) (* A A))) A) (sqrt (PI)) (* (/ C B) 2) (/ 1/2 (/ A B)) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/ (/ B C) C)) |
| 3.0ms | C | @ | 0 | ((/ (* (atan (/ (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) B)) (/ 180 (sqrt (PI)))) (sqrt (PI))) (* (atan (/ (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) B)) (/ 180 (sqrt (PI)))) (atan (/ (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) B)) (/ (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) B) (/ (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (PI)) (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/ (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (PI)) (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/ (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (PI)) (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+ (* (/ (/ B C) C) A) (/ B C)) (+ (* (+ (* (/ (/ B C) C) A) (/ B C)) -1/2) 0) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (+ (sqrt (+ (* B B) (* A A))) A) (sqrt (PI)) (* (/ C B) 2) (/ 1/2 (/ A B)) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/ (/ B C) C)) |
| 3.0ms | A | @ | -inf | ((/ (* (atan (/ (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) B)) (/ 180 (sqrt (PI)))) (sqrt (PI))) (* (atan (/ (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) B)) (/ 180 (sqrt (PI)))) (atan (/ (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) B)) (/ (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) B) (/ (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (PI)) (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/ (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (PI)) (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/ (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (PI)) (* (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) 180) (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+ (* (/ (/ B C) C) A) (/ B C)) (+ (* (+ (* (/ (/ B C) C) A) (/ B C)) -1/2) 0) (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (+ (sqrt (+ (* B B) (* A A))) A) (sqrt (PI)) (* (/ C B) 2) (/ 1/2 (/ A B)) (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/ (/ B C) C)) |
| 1× | egg-herbie |
| 7 248× | lower-fma.f64 |
| 7 248× | lower-fma.f32 |
| 6 050× | lower-*.f64 |
| 6 050× | lower-*.f32 |
| 2 774× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 634 | 17342 |
| 1 | 1890 | 16945 |
| 2 | 5586 | 16849 |
| 0 | 8188 | 13662 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (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)) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(/ (* 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)) |
(* -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)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(* -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))))) |
(* 2 (/ C B)) |
(* 2 (/ C B)) |
(* 2 (/ C B)) |
(* 2 (/ C 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))))))))) |
(/ B (pow C 2)) |
(/ B (pow C 2)) |
(/ B (pow C 2)) |
(/ B (pow C 2)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (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)) |
(* -1 (/ (+ A (* -1 A)) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(* -1 (/ (+ A (* -1 A)) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(* -1 (/ (+ A (* -1 A)) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(* -1 (/ (+ A (* -1 A)) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
(/ B C) |
(/ (+ B (/ (* A B) C)) C) |
(/ (+ B (/ (* A B) C)) C) |
(/ (+ B (/ (* A B) C)) C) |
(* -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) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(* -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 B)) |
(* 2 (/ C B)) |
(* 2 (/ C B)) |
(* 2 (/ C B)) |
(* -1 (/ (+ A (* -1 A)) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
(/ B (pow C 2)) |
(/ B (pow C 2)) |
(/ B (pow C 2)) |
(/ B (pow C 2)) |
(* 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 (* (sqrt (/ 1 (PI))) (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 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)))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 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)))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 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)))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(/ 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 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)) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(* 2 C) |
(* -1 (* C (- (* 2 (/ A C)) 2))) |
(* -1 (* C (- (* -1 (/ (- (* 1/2 (/ (pow B 2) C)) (* 2 A)) C)) 2))) |
(* -1 (* C (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C)) (* 2 A)) C)) 2))) |
(* 2 (/ C B)) |
(* 2 (/ C B)) |
(* 2 (/ C B)) |
(* 2 (/ C B)) |
(* 2 (/ C B)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(/ B (pow C 2)) |
(/ B (pow C 2)) |
(/ B (pow C 2)) |
(/ B (pow C 2)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (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)) |
(/ (- (* 2 C) (* 2 A)) B) |
(/ (- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(/ (- (* 2 C) (* 2 A)) B) |
(/ (- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(/ (- (* 2 C) (* 2 A)) B) |
(/ (- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(/ (- (* 2 C) (* 2 A)) B) |
(/ (- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(* 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)))) |
(* -1/2 (* 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))))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(- (* 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)) |
(* 2 A) |
(+ (* 1/2 (/ (pow B 2) A)) (* 2 A)) |
(+ (* 2 A) (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow A 3))) (* 1/2 (/ 1 A))))) |
(+ (* 2 A) (* (pow B 2) (+ (* (pow B 2) (- (* 1/16 (/ (pow B 2) (pow A 5))) (* 1/8 (/ 1 (pow A 3))))) (* 1/2 (/ 1 A))))) |
(* 2 (/ C B)) |
(* 2 (/ C B)) |
(* 2 (/ C B)) |
(* 2 (/ C B)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B 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) |
(/ B (pow C 2)) |
(/ B (pow C 2)) |
(/ B (pow C 2)) |
(/ B (pow C 2)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (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)) |
-1 |
(- (/ C B) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
-1 |
(- (/ C B) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
-1 |
(- (/ C B) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
-1 |
(- (/ C B) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
(* B (+ (/ 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)))) |
(* -1/2 (* 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))))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(* -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 |
(* B (+ 1 (/ A B))) |
(* B (+ 1 (+ (* 1/2 (/ (pow A 2) (pow B 2))) (/ A B)))) |
(* B (+ 1 (+ (* -1/8 (/ (pow A 4) (pow B 4))) (+ (* 1/2 (/ (pow A 2) (pow B 2))) (/ A B))))) |
(* 2 (/ C B)) |
(* 2 (/ C B)) |
(* 2 (/ C B)) |
(* 2 (/ C B)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
-1 |
(- (/ C B) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
(/ B (pow C 2)) |
(/ B (pow C 2)) |
(/ B (pow C 2)) |
(/ B (pow C 2)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (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)) |
1 |
(- (+ 1 (/ C B)) (/ A B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- A C) 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) B))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
1 |
(- (+ 1 (/ C B)) (/ A B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- A C) 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) B))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
1 |
(- (+ 1 (/ C B)) (/ A B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- A C) 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) B))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
1 |
(- (+ 1 (/ C B)) (/ A B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- A C) 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) B))) |
(* -1 (* B (- (* -1 (/ 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)))) |
(* 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)))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
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))) |
(* -1 B) |
(* -1 (* B (+ 1 (* -1 (/ A B))))) |
(* -1 (* B (+ 1 (* -1 (/ (+ A (* -1/2 (/ (pow A 2) B))) B))))) |
(* -1 (* B (+ 1 (* -1 (/ (+ A (* -1 (/ (+ (* -1/8 (/ (pow A 4) (pow B 2))) (* 1/2 (pow A 2))) B))) B))))) |
(* 2 (/ C B)) |
(* 2 (/ C B)) |
(* 2 (/ C B)) |
(* 2 (/ C B)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
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))) |
(/ B (pow C 2)) |
(/ B (pow C 2)) |
(/ B (pow C 2)) |
(/ B (pow C 2)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (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)) |
(/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B) |
(- (+ (* -1 (/ (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* -1/2 (* (/ (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* A (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) B) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- 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))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B) |
(- (+ (* -1 (/ (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* -1/2 (* (/ (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* A (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) B) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- 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))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B) |
(- (+ (* -1 (/ (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* -1/2 (* (/ (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* A (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) B) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- 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))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B) |
(- (+ (* -1 (/ (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* -1/2 (* (/ (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* A (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) B) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(/ B C) |
(+ (/ B C) (/ (* A B) (pow C 2))) |
(+ (/ B C) (/ (* A B) (pow C 2))) |
(+ (/ B C) (/ (* A B) (pow C 2))) |
(* -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)))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(- 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)))) |
B |
(+ A B) |
(+ B (* A (+ 1 (* 1/2 (/ A B))))) |
(+ B (* A (+ 1 (* A (+ (* -1/8 (/ (pow A 2) (pow B 3))) (* 1/2 (/ 1 B))))))) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B) |
(- (+ (* -1 (/ (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* -1/2 (* (/ (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* A (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) B) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- 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 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(* 180 (* (sqrt (/ 1 (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)) |
(* -2 (/ A B)) |
(* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(* -2 (/ A B)) |
(* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(* -2 (/ A B)) |
(* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(* -2 (/ A B)) |
(* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(/ (* A 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)))) |
(* -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))))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(* -2 A) |
(* A (- (/ C A) (+ 2 (* -1 (/ C A))))) |
(* A (- (+ (* -1/2 (/ (pow B 2) (pow A 2))) (/ C A)) (+ 2 (* -1 (/ C A))))) |
(* A (- (+ (* -1/2 (/ (* (pow B 2) C) (pow A 3))) (/ C A)) (+ 2 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(* 2 A) |
(* A (+ 2 (* 1/2 (/ (pow B 2) (pow A 2))))) |
(* A (+ 2 (+ (* -1/8 (/ (pow B 4) (pow A 4))) (* 1/2 (/ (pow B 2) (pow A 2)))))) |
(* A (+ 2 (+ (* -1/8 (/ (pow B 4) (pow A 4))) (+ (* 1/16 (/ (pow B 6) (pow A 6))) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* -2 (/ A B)) |
(* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* 180 (/ (atan (/ (- (+ C (* -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 (* (sqrt (/ 1 (PI))) (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)))) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 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))) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 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))) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 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))) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(/ (* 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)))))) |
(* -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)))))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(* 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) A)) |
(* -1 (/ (+ (* -1/8 (/ (pow B 4) (pow A 2))) (* 1/2 (pow B 2))) A)) |
(* -1 (/ (+ (* -1/8 (/ (pow B 4) (pow A 2))) (+ (* 1/16 (/ (pow B 6) (pow A 4))) (* 1/2 (pow B 2)))) A)) |
(* -1 (/ (+ (* -1/2 (/ (+ (* 1/64 (pow B 8)) (* 1/16 (pow B 8))) (pow A 6))) (+ (* -1/8 (/ (pow B 4) (pow A 2))) (+ (* 1/16 (/ (pow B 6) (pow A 4))) (* 1/2 (pow B 2))))) A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
| Outputs |
|---|
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 180 binary64)) (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 180 binary64)) (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 180 binary64)) (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B))) |
(* 180 (* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 180 binary64)) (atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 C (+.f64 (hypot.f64 (-.f64 A C) B) A)) B)) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(/.f64 (+.f64 (hypot.f64 B A) A) (neg.f64 B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (/.f64 A B) (/.f64 #s(literal 1 binary64) B)) C (/.f64 (+.f64 (hypot.f64 B A) A) (neg.f64 B))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(fma.f64 (fma.f64 (*.f64 C #s(literal -1/2 binary64)) (*.f64 (/.f64 (fma.f64 (neg.f64 A) (/.f64 A (fma.f64 B B (*.f64 A A))) #s(literal 1 binary64)) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (/.f64 A B) (/.f64 #s(literal 1 binary64) B))) C (/.f64 (+.f64 (hypot.f64 B A) A) (neg.f64 B))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
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(* -1 (/ (+ (* -1/8 (/ (pow B 4) (pow A 2))) (+ (* 1/16 (/ (pow B 6) (pow A 4))) (* 1/2 (pow B 2)))) A)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) A) (/.f64 (pow.f64 B #s(literal 4 binary64)) A) (fma.f64 (/.f64 (pow.f64 B #s(literal 6 binary64)) (pow.f64 A #s(literal 4 binary64))) #s(literal 1/16 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) B) B))) (neg.f64 A)) |
(* -1 (/ (+ (* -1/2 (/ (+ (* 1/64 (pow B 8)) (* 1/16 (pow B 8))) (pow A 6))) (+ (* -1/8 (/ (pow B 4) (pow A 2))) (+ (* 1/16 (/ (pow B 6) (pow A 4))) (* 1/2 (pow B 2))))) A)) |
(/.f64 (fma.f64 (*.f64 (pow.f64 B #s(literal 8 binary64)) (/.f64 #s(literal 5/64 binary64) (pow.f64 A #s(literal 6 binary64)))) #s(literal -1/2 binary64) (fma.f64 (/.f64 #s(literal -1/8 binary64) A) (/.f64 (pow.f64 B #s(literal 4 binary64)) A) (fma.f64 (/.f64 (pow.f64 B #s(literal 6 binary64)) (pow.f64 A #s(literal 4 binary64))) #s(literal 1/16 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) B) B)))) (neg.f64 A)) |
(* 1/2 (/ B A)) |
(*.f64 (/.f64 B A) #s(literal 1/2 binary64)) |
(* 1/2 (/ B A)) |
(*.f64 (/.f64 B A) #s(literal 1/2 binary64)) |
(* 1/2 (/ B A)) |
(*.f64 (/.f64 B A) #s(literal 1/2 binary64)) |
(* 1/2 (/ B A)) |
(*.f64 (/.f64 B A) #s(literal 1/2 binary64)) |
(* 1/2 (/ B A)) |
(*.f64 (/.f64 B A) #s(literal 1/2 binary64)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 C A) B B) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) B (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) B (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 B C) B) C) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 B #s(literal 4 binary64)))) B) A)) (neg.f64 A))) (neg.f64 A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) B (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) B (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) C) (pow.f64 B #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 C C) B) (neg.f64 B) (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64))) (neg.f64 C))) A) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) B) B) (*.f64 C C) (*.f64 #s(literal 1/8 binary64) (pow.f64 B #s(literal 4 binary64)))) B)) (neg.f64 A))) (neg.f64 A))) (neg.f64 A)) |
| 4 828× | lower-*.f32 |
| 4 816× | lower-*.f64 |
| 4 086× | lower-/.f32 |
| 4 062× | lower-/.f64 |
| 2 812× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 587 |
| 0 | 92 | 573 |
| 1 | 345 | 539 |
| 2 | 2449 | 539 |
| 0 | 8863 | 439 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) |
(*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) |
(atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B)) |
(/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) #s(literal 180 binary64)) |
(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 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) #s(literal 180 binary64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(literal 1/2 binary64) (/.f64 A B)))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(literal 1/2 binary64) (/.f64 A B)))) #s(literal 180 binary64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(literal 1/2 binary64) (/.f64 A B)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(literal 1/2 binary64) (/.f64 A B))) |
(fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) |
(fma.f64 (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) #s(literal -1/2 binary64) #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 (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) #s(literal -1/2 binary64) #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 (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) #s(literal -1/2 binary64) #s(literal 0 binary64)))) (PI.f64)) |
#s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) |
(+.f64 (hypot.f64 B A) A) |
(sqrt.f64 (PI.f64)) |
(*.f64 (/.f64 C B) #s(literal 2 binary64)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 A B)) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) #s(literal -1/2 binary64) #s(literal 0 binary64))) |
(/.f64 (/.f64 B C) C) |
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Compiled 31 629 to 3 946 computations (87.5% saved)
28 alts after pruning (21 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 432 | 5 | 1 437 |
| Fresh | 1 | 16 | 17 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 435 | 28 | 1 463 |
| Status | Accuracy | Program |
|---|---|---|
| 63.4% | (/.f64 (*.f64 (/.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) (-.f64 C (hypot.f64 B C))) B)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))) (sqrt.f64 (PI.f64))) | |
| 26.8% | (/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (*.f64 (/.f64 (*.f64 B B) A) #s(literal 1/2 binary64))) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) | |
| ✓ | 64.0% | (/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) |
| 25.6% | (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) B (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) B (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 B C) B) C) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 B #s(literal 4 binary64)))) B) A)) (neg.f64 A))) (neg.f64 A)))) #s(literal 180 binary64)) (PI.f64)) | |
| 51.7% | (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) (PI.f64)) | |
| ✓ | 23.1% | (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
| 24.5% | (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))) #s(literal 180 binary64)) (PI.f64)) | |
| 28.1% | (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 #s(literal 1/2 binary64) A) B))) #s(literal 180 binary64)) (PI.f64)) | |
| 35.4% | (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 C A) B)))) #s(literal 180 binary64)) (PI.f64)) | |
| 21.5% | (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -2 binary64) (/.f64 A B)))) #s(literal 180 binary64)) (PI.f64)) | |
| ✓ | 22.2% | (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) #s(literal 180 binary64)) (PI.f64)) |
| ✓ | 24.3% | (/.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 B C)))) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) |
| 28.2% | (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/180 binary64))) | |
| 24.5% | (/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))))) | |
| 27.9% | (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/180 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))))) | |
| 24.5% | (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/180 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))))) | |
| 52.8% | (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))))) B)) (PI.f64)) #s(literal 180 binary64)) | |
| 22.8% | (*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) | |
| 52.5% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))))) (PI.f64))) | |
| 37.6% | (*.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))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 A C)) B) B (-.f64 A C)))))) (PI.f64))) | |
| 15.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 B C) A) B) C) (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 B C) C) A) #s(literal 2 binary64)) (pow.f64 (/.f64 B C) #s(literal 2 binary64))))) #s(literal -1/2 binary64) #s(literal 0 binary64)))) (PI.f64))) | |
| 50.8% | (*.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))) | |
| 11.5% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 (pow.f64 (/.f64 C B) #s(literal -3 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 B C)) (/.f64 B C))) #s(literal 1/4 binary64)))) (PI.f64))) | |
| ✓ | 28.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) |
| 24.5% | (*.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 #s(literal -1/2 binary64) C)))) (PI.f64))) | |
| 31.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (+ (* (+ (* (/ (/ B C) C) A) (/ B C)) -1/2) 0) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 B C) A B) 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))) |
| ✓ | 21.2% | (*.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 1 254 to 722 computations (42.4% 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 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -2 binary64) (/.f64 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 B (/.f64 #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))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) (PI.f64))) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/180 binary64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -2 binary64) (/.f64 A B)))) #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 #s(literal -1/2 binary64) (/.f64 B C)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 #s(literal 1/2 binary64) A) B))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) #s(literal 0 binary64)))) (PI.f64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) (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 (-.f64 C A) B)))) (PI.f64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 C A) B)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))))) |
(/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))))) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(literal 1/2 binary64) (/.f64 A B)))) #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 #s(literal 1/2 binary64) (/.f64 B A)))) #s(literal 1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/180 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/180 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (+ (* (+ (* (/ (/ B C) C) A) (/ B C)) -1/2) 0) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 B C) A B) C))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) (*.f64 (*.f64 B (/.f64 B C)) #s(literal -1/2 binary64))))) (PI.f64))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))))) B)) (PI.f64)) #s(literal 180 binary64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.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))))) (fma.f64 (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) #s(literal -1/2 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 (/.f64 C B) #s(literal 2 binary64)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) |
(/.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 B C)))) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (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))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 A C)) B) B (-.f64 A C)))))) (PI.f64))) |
(/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (*.f64 (/.f64 (*.f64 B B) A) #s(literal 1/2 binary64))) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) |
(/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 B (*.f64 (/.f64 C A) B) (*.f64 B B)) A))) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) |
(/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) |
(/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) (/.f64 #s(literal 180 binary64) (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 (/.f64 (pow.f64 (/.f64 C B) #s(literal -3 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 B C)) (/.f64 B C))) #s(literal 1/4 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 (fma.f64 #s(literal -1/2 binary64) B (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) B (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 C B) B) C) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 B #s(literal 4 binary64)))) B) A)) (neg.f64 A))) (neg.f64 A)))) (PI.f64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) B (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) B (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 B C) B) C) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 B #s(literal 4 binary64)))) B) A)) (neg.f64 A))) (neg.f64 A)))) #s(literal 180 binary64)) (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))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) #s(literal -1/2 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 C #s(literal 3 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 A A) B) (neg.f64 B) (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64))) B) #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 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 B C) A) B) C) (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 B C) C) A) #s(literal 2 binary64)) (pow.f64 (/.f64 B C) #s(literal 2 binary64))))) #s(literal -1/2 binary64) #s(literal 0 binary64)))) (PI.f64))) |
(/.f64 (*.f64 (/.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) (-.f64 C (hypot.f64 B C))) B)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))) (sqrt.f64 (PI.f64))) |
(/.f64 (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))) (sqrt.f64 (PI.f64))) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))) (sqrt.f64 (PI.f64))) |
(/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))))) |
(/.f64 (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))) (sqrt.f64 (PI.f64))) |
7 calls:
| 23.0ms | B |
| 20.0ms | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| 19.0ms | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
| 14.0ms | C |
| 14.0ms | A |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.4% | 2 | A |
| 78.2% | 1 | B |
| 81.4% | 2 | C |
| 83.1% | 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))) |
| 83.1% | 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)) |
| 83.1% | 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))))))) |
| 83.1% | 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 84 to 74 computations (11.9% 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 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -2 binary64) (/.f64 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 B (/.f64 #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))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) (PI.f64))) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/180 binary64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -2 binary64) (/.f64 A B)))) #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 #s(literal -1/2 binary64) (/.f64 B C)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 #s(literal 1/2 binary64) A) B))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) #s(literal 0 binary64)))) (PI.f64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) (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 (-.f64 C A) B)))) (PI.f64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 C A) B)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))))) |
(/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))))) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(literal 1/2 binary64) (/.f64 A B)))) #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 #s(literal 1/2 binary64) (/.f64 B A)))) #s(literal 1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/180 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/180 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (+ (* (+ (* (/ (/ B C) C) A) (/ B C)) -1/2) 0) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 B C) A B) C))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) (*.f64 (*.f64 B (/.f64 B C)) #s(literal -1/2 binary64))))) (PI.f64))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))))) B)) (PI.f64)) #s(literal 180 binary64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.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))))) (fma.f64 (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) #s(literal -1/2 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 (/.f64 C B) #s(literal 2 binary64)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) |
(/.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 B C)))) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (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))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 A C)) B) B (-.f64 A C)))))) (PI.f64))) |
(/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (*.f64 (/.f64 (*.f64 B B) A) #s(literal 1/2 binary64))) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) |
(/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 B (*.f64 (/.f64 C A) B) (*.f64 B B)) A))) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) |
(/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) |
(/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) (/.f64 #s(literal 180 binary64) (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 (/.f64 (pow.f64 (/.f64 C B) #s(literal -3 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 B C)) (/.f64 B C))) #s(literal 1/4 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 (fma.f64 #s(literal -1/2 binary64) B (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) B (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 C B) B) C) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 B #s(literal 4 binary64)))) B) A)) (neg.f64 A))) (neg.f64 A)))) (PI.f64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) B (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) C) B (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 B C) B) C) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 B #s(literal 4 binary64)))) B) A)) (neg.f64 A))) (neg.f64 A)))) #s(literal 180 binary64)) (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))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) #s(literal -1/2 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 C #s(literal 3 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 A A) B) (neg.f64 B) (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64))) B) #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 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 B C) A) B) C) (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 B C) C) A) #s(literal 2 binary64)) (pow.f64 (/.f64 B C) #s(literal 2 binary64))))) #s(literal -1/2 binary64) #s(literal 0 binary64)))) (PI.f64))) |
(/.f64 (*.f64 (/.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* B B) (* (- A C) (- A C))))) (-.f64 C (hypot.f64 B C))) B)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))) (sqrt.f64 (PI.f64))) |
| Outputs |
|---|
(/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) |
(/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))))) |
(/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) |
4 calls:
| 15.0ms | (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))))))) |
| 12.0ms | (*.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)))))) |
| 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 #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 |
|---|---|---|
| 83.0% | 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))) |
| 83.0% | 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)) |
| 83.0% | 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))))))) |
| 83.0% | 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 81 to 65 computations (19.8% 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 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -2 binary64) (/.f64 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 B (/.f64 #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))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) (PI.f64))) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/180 binary64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -2 binary64) (/.f64 A B)))) #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 #s(literal -1/2 binary64) (/.f64 B C)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 #s(literal 1/2 binary64) A) B))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) #s(literal 0 binary64)))) (PI.f64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) (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 (-.f64 C A) B)))) (PI.f64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 C A) B)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))))) |
(/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))))) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(literal 1/2 binary64) (/.f64 A B)))) #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 #s(literal 1/2 binary64) (/.f64 B A)))) #s(literal 1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/180 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/180 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (+ (* (+ (* (/ (/ B C) C) A) (/ B C)) -1/2) 0) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 B C) A B) C))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) (*.f64 (*.f64 B (/.f64 B C)) #s(literal -1/2 binary64))))) (PI.f64))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))))) B)) (PI.f64)) #s(literal 180 binary64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.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))))) (fma.f64 (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) #s(literal -1/2 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 (/.f64 C B) #s(literal 2 binary64)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) |
(/.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 B C)))) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (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))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 A C)) B) B (-.f64 A C)))))) (PI.f64))) |
(/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (*.f64 (/.f64 (*.f64 B B) A) #s(literal 1/2 binary64))) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) |
(/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 B (*.f64 (/.f64 C A) B) (*.f64 B B)) A))) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) |
(/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (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 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B)) (/.f64 #s(literal 180 binary64) (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 B (/.f64 #s(literal -1/2 binary64) C)))) (PI.f64))) |
7 calls:
| 47.0ms | B |
| 20.0ms | (*.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)))))) |
| 19.0ms | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| 12.0ms | C |
| 12.0ms | A |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.1% | 3 | B |
| 70.4% | 3 | A |
| 76.5% | 3 | C |
| 75.1% | 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))) |
| 75.1% | 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)) |
| 75.1% | 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))))))) |
| 75.1% | 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 84 to 74 computations (11.9% 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 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -2 binary64) (/.f64 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 B (/.f64 #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))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) (PI.f64))) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/180 binary64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -2 binary64) (/.f64 A B)))) #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 #s(literal -1/2 binary64) (/.f64 B C)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 #s(literal 1/2 binary64) A) B))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) #s(literal 0 binary64)))) (PI.f64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) (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 (-.f64 C A) B)))) (PI.f64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 C A) B)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))))) |
(/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))))) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(literal 1/2 binary64) (/.f64 A B)))) #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 #s(literal 1/2 binary64) (/.f64 B A)))) #s(literal 1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/180 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/180 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (+ (* (+ (* (/ (/ B C) C) A) (/ B C)) -1/2) 0) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 B C) A B) C))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) (*.f64 (*.f64 B (/.f64 B C)) #s(literal -1/2 binary64))))) (PI.f64))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.f64 B B))))) B)) (PI.f64)) #s(literal 180 binary64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 B B (*.f64 A A))))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 #s(approx (+ (pow (- A C) 2) (pow B 2)) (fma.f64 C C (*.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))))) (fma.f64 (fma.f64 (/.f64 (/.f64 B C) C) A (/.f64 B C)) #s(literal -1/2 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 (/.f64 C B) #s(literal 2 binary64)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) |
(/.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 B C)))) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (/ (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) B) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (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))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 A C)) B) B (-.f64 A C)))))) (PI.f64))) |
(/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (*.f64 (/.f64 (*.f64 B B) A) #s(literal 1/2 binary64))) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) |
(/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 B (*.f64 (/.f64 C A) B) (*.f64 B B)) A))) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (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 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))))) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
5 calls:
| 12.0ms | (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))))))) |
| 12.0ms | C |
| 10.0ms | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 10.0ms | (*.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))) |
| 10.0ms | (/.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 |
|---|---|---|
| 75.1% | 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))) |
| 75.1% | 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)) |
| 75.1% | 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))))))) |
| 75.1% | 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)))))) |
| 65.5% | 3 | C |
Compiled 82 to 68 computations (17.1% 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 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -2 binary64) (/.f64 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 B (/.f64 #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))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) (PI.f64))) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/180 binary64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -2 binary64) (/.f64 A B)))) #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 #s(literal -1/2 binary64) (/.f64 B C)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 #s(literal 1/2 binary64) A) B))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) #s(literal 0 binary64)))) (PI.f64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) (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 (-.f64 C A) B)))) (PI.f64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 C A) B)))) #s(literal 180 binary64)) (PI.f64)) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (-.f64 (/.f64 (-.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 B (/.f64 #s(literal -1/2 binary64) C)))) (PI.f64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
4 calls:
| 12.0ms | (*.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))))))) |
| 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 (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 |
|---|---|---|
| 75.1% | 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))) |
| 75.1% | 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)) |
| 75.1% | 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))))))) |
| 75.1% | 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 81 to 65 computations (19.8% 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 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -2 binary64) (/.f64 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 B (/.f64 #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))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) (PI.f64))) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/180 binary64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -2 binary64) (/.f64 A B)))) #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 #s(literal -1/2 binary64) (/.f64 B C)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 #s(literal 1/2 binary64) A) B))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 (/.f64 B C) #s(literal -1/2 binary64) #s(literal 0 binary64)))) (PI.f64))) |
| Outputs |
|---|
(*.f64 #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 B (/.f64 #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))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) |
4 calls:
| 38.0ms | (/.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))) |
| 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 | (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 |
|---|---|---|
| 75.1% | 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))) |
| 75.1% | 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)) |
| 75.1% | 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))))))) |
| 75.1% | 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 81 to 65 computations (19.8% 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 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -2 binary64) (/.f64 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 B (/.f64 #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))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) (PI.f64))) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/180 binary64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -2 binary64) (/.f64 A B)))) #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 #s(literal -1/2 binary64) (/.f64 B C)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 #s(literal 1/2 binary64) A) B))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) |
| Outputs |
|---|
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/180 binary64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))) |
7 calls:
| 25.0ms | (*.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))) |
| 11.0ms | A |
| 10.0ms | B |
| 10.0ms | 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)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.4% | 2 | C |
| 63.9% | 2 | A |
| 62.4% | 2 | B |
| 62.4% | 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))) |
| 62.4% | 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)) |
| 62.4% | 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))))))) |
| 66.6% | 5 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
Compiled 84 to 74 computations (11.9% 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 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -2 binary64) (/.f64 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 B (/.f64 #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))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) (PI.f64))) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/180 binary64))) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -2 binary64) (/.f64 A B)))) #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 #s(literal -1/2 binary64) (/.f64 B C)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 #s(literal 1/2 binary64) A) B))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) #s(literal 180 binary64)) (PI.f64)) |
| Outputs |
|---|
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/180 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 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 B (/.f64 #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))))) (*.f64 #s(literal -2 binary64) (/.f64 A B)))) (PI.f64))) |
7 calls:
| 17.0ms | B |
| 5.0ms | A |
| 5.0ms | 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)))))) |
| 4.0ms | (/.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 |
|---|---|---|
| 48.1% | 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))) |
| 48.1% | 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)) |
| 48.1% | 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))))))) |
| 52.4% | 4 | C |
| 48.1% | 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)))))) |
| 52.4% | 4 | B |
| 56.7% | 5 | A |
Compiled 84 to 74 computations (11.9% 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 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -2 binary64) (/.f64 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 B (/.f64 #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))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) (PI.f64))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 B (/.f64 #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))))) (*.f64 #s(literal -2 binary64) (/.f64 A B)))) (PI.f64))) |
1 calls:
| 3.0ms | A |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.6% | 5 | A |
Compiled 1 to 3 computations (-200% 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 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -2 binary64) (/.f64 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 B (/.f64 #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))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #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 B (/.f64 #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))))) (*.f64 #s(literal -2 binary64) (/.f64 A B)))) (PI.f64))) |
1 calls:
| 3.0ms | A |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.7% | 4 | A |
Compiled 1 to 3 computations (-200% 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 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) #s(literal 180 binary64)) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -2 binary64) (/.f64 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 B (/.f64 #s(literal -1/2 binary64) C)))) (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))))) (*.f64 #s(literal -2 binary64) (/.f64 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))) |
3 calls:
| 3.0ms | A |
| 3.0ms | B |
| 3.0ms | C |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.4% | 3 | B |
| 39.6% | 4 | C |
| 41.6% | 4 | A |
Compiled 3 to 9 computations (-200% 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 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) #s(literal 180 binary64)) (PI.f64)) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
5 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)) |
| 2.0ms | (*.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 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 2.0ms | (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 |
|---|---|---|
| 43.3% | 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))) |
| 43.3% | 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)) |
| 43.3% | 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))))))) |
| 43.3% | 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)))))) |
| 47.7% | 3 | B |
Compiled 82 to 68 computations (17.1% 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))) |
| 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))) |
7 calls:
| 2.0ms | B |
| 2.0ms | A |
| 2.0ms | C |
| 2.0ms | (*.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)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 23.9% | 2 | C |
| 25.6% | 2 | A |
| 28.7% | 2 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| 28.7% | 2 | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| 28.7% | 2 | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
| 28.7% | 2 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 29.9% | 2 | B |
Compiled 84 to 74 computations (11.9% 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:
| 15.0ms | C |
| 1.0ms | 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 | A |
| 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 |
|---|---|---|
| 21.2% | 1 | C |
| 21.2% | 1 | A |
| 21.2% | 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))) |
| 21.2% | 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)) |
| 21.2% | 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))))))) |
| 21.2% | 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)))))) |
| 21.2% | 1 | B |
Compiled 84 to 74 computations (11.9% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 9.680117130857606e-5 |
| 0.0ms | -6.793932797445062e-48 | 0.0 |
Compiled 26 to 25 computations (3.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 9.680117130857606e-5 |
| 0.0ms | -6.793932797445062e-48 | 0.0 |
Compiled 26 to 25 computations (3.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 45.0ms | 2.3030969817166026e+123 | 8.915311008736574e+129 |
| 27.0ms | -7.203697094285597e-10 | -8.459787965425679e-19 |
| 26.0ms | 79× | 2 | valid |
| 24.0ms | 167× | 0 | valid |
| 9.0ms | 42× | 1 | valid |
Compiled 566 to 555 computations (1.9% saved)
ival-div: 12.0ms (24.8% of total)adjust: 7.0ms (14.5% of total)ival-pow2: 7.0ms (14.5% of total)ival-sub: 6.0ms (12.4% of total)ival-mult: 6.0ms (12.4% of total)ival-sqrt: 4.0ms (8.3% of total)ival-atan: 3.0ms (6.2% of total)ival-add: 2.0ms (4.1% of total)ival-pi: 1.0ms (2.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 9.680117130857606e-5 | 0.9999999999999999 |
| 0.0ms | -1.555554376768441e-15 | -6.793932797445062e-48 |
Compiled 26 to 25 computations (3.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 9.680117130857606e-5 | 0.9999999999999999 |
| 0.0ms | -1.555554376768441e-15 | -6.793932797445062e-48 |
Compiled 26 to 25 computations (3.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 9.680117130857606e-5 | 0.9999999999999999 |
| 0.0ms | -1.555554376768441e-15 | -6.793932797445062e-48 |
Compiled 26 to 25 computations (3.8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 63.0ms | -5.6868542902807954e-98 | -2.557849322742409e-99 |
| 43.0ms | 19× | 1 | valid |
| 8.0ms | 72× | 0 | valid |
| 7.0ms | 21× | 2 | valid |
Compiled 194 to 213 computations (-9.8% saved)
ival-pow2: 41.0ms (75.4% of total)ival-sub: 2.0ms (3.7% of total)ival-div: 2.0ms (3.7% of total)adjust: 2.0ms (3.7% of total)ival-mult: 2.0ms (3.7% of total)ival-sqrt: 1.0ms (1.8% of total)ival-add: 1.0ms (1.8% of total)ival-atan: 1.0ms (1.8% of total)ival-assert: 0.0ms (0% of total)ival-pi: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 3.912622956775514e-80 | 4.193848529972579e-78 |
| 64.0ms | 2.1741501474391618e-165 | 1.1442640866636326e-154 |
| 45.0ms | -3.456094850030663e-297 | 9.729038930831611e-301 |
| 36.0ms | -4.698662714803813e-190 | -5.404238317183663e-194 |
| 100.0ms | 461× | 0 | valid |
| 29.0ms | 54× | 2 | valid |
| 14.0ms | 61× | 1 | valid |
Compiled 742 to 922 computations (-24.3% saved)
ival-pow2: 46.0ms (37.5% of total)ival-sub: 22.0ms (17.9% of total)ival-sqrt: 16.0ms (13% of total)ival-div: 11.0ms (9% of total)ival-mult: 9.0ms (7.3% of total)adjust: 6.0ms (4.9% of total)ival-atan: 6.0ms (4.9% of total)ival-add: 3.0ms (2.4% of total)ival-pi: 2.0ms (1.6% of total)ival-true: 1.0ms (0.8% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.912622956775514e-80 | 4.193848529972579e-78 |
| 1.0ms | 2.1741501474391618e-165 | 1.1442640866636326e-154 |
| 1.0ms | -3.456094850030663e-297 | 9.729038930831611e-301 |
| 1.0ms | -4.698662714803813e-190 | -5.404238317183663e-194 |
Compiled 742 to 922 computations (-24.3% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.912622956775514e-80 | 4.193848529972579e-78 |
| 25.0ms | 2.2079720283179563e-270 | 1.5085246103393059e-269 |
| 1.0ms | -4.698662714803813e-190 | -5.404238317183663e-194 |
| 15.0ms | 77× | 0 | valid |
| 4.0ms | 11× | 2 | valid |
| 2.0ms | 8× | 1 | valid |
Compiled 432 to 542 computations (-25.5% saved)
ival-mult: 8.0ms (44.1% of total)ival-sub: 2.0ms (11% of total)ival-div: 2.0ms (11% of total)ival-pow2: 2.0ms (11% of total)adjust: 1.0ms (5.5% of total)ival-sqrt: 1.0ms (5.5% of total)ival-add: 1.0ms (5.5% of total)ival-atan: 1.0ms (5.5% of total)ival-assert: 0.0ms (0% of total)ival-pi: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 38.0ms | 4.586479095896412e-103 | 2.5581266548087227e-102 |
| 48.0ms | -1.0371221918833022e-26 | -6.339522762649463e-42 |
| 36.0ms | 79× | 2 | valid |
| 33.0ms | 147× | 0 | valid |
| 7.0ms | 30× | 1 | valid |
Compiled 314 to 408 computations (-29.9% saved)
ival-pow2: 23.0ms (41.3% of total)ival-sub: 6.0ms (10.8% of total)adjust: 6.0ms (10.8% of total)ival-div: 6.0ms (10.8% of total)ival-mult: 6.0ms (10.8% of total)ival-sqrt: 3.0ms (5.4% of total)ival-atan: 3.0ms (5.4% of total)ival-add: 2.0ms (3.6% of total)ival-pi: 1.0ms (1.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 2.7120433179369417e-94 | 1.8725233449284077e-92 |
| 52.0ms | -1.572465404847164e-88 | -2.581686593153216e-94 |
| 28.0ms | 78× | 2 | valid |
| 18.0ms | 155× | 0 | valid |
| 10.0ms | 23× | 1 | valid |
Compiled 250 to 376 computations (-50.4% saved)
ival-div: 11.0ms (24.2% of total)adjust: 8.0ms (17.6% of total)ival-pow2: 7.0ms (15.4% of total)ival-sub: 6.0ms (13.2% of total)ival-mult: 5.0ms (11% of total)ival-sqrt: 4.0ms (8.8% of total)ival-atan: 3.0ms (6.6% of total)ival-add: 2.0ms (4.4% of total)ival-pi: 1.0ms (2.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.7120433179369417e-94 | 1.8725233449284077e-92 |
Compiled 124 to 178 computations (-43.5% saved)
| 1× | egg-herbie |
| 56× | *-commutative-binary64-*.f64 |
| 34× | +-commutative-binary64-+.f64 |
| 28× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 16× | neg-sub0-binary64--.f64-neg.f64 |
| 16× | neg-mul-1-binary64-*.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 174 | 1484 |
| 1 | 215 | 1484 |
| 2 | 239 | 1484 |
| 3 | 258 | 1484 |
| 4 | 264 | 1484 |
| 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 -4113761393303015/822752278660603021077484591278675252491367932816789931674304512 binary64)) (/.f64 (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))) (sqrt.f64 (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 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))))) (/.f64 (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))) (sqrt.f64 (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 -4113761393303015/822752278660603021077484591278675252491367932816789931674304512 binary64)) (/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (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 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))))) (/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))) |
(if (<=.f64 C #s(literal -7737125245533627/154742504910672534362390528 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 C #s(literal 5600000000000000180486366256461445777957189649145374392234397964991534420930929661223225994411540387715511913617258956959252480 binary64)) (/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B)) (/.f64 #s(literal 180 binary64) (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 B (/.f64 #s(literal -1/2 binary64) C)))) (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 -2535301200456459/2535301200456458802993406410752 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 7378697629483821/73786976294838206464 binary64)) (/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))))) (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #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 -2535301200456459/2535301200456458802993406410752 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 7378697629483821/73786976294838206464 binary64)) (*.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 #s(literal -1/2 binary64) C)))) (PI.f64))) (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #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 -2535301200456459/2535301200456458802993406410752 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 7378697629483821/73786976294838206464 binary64)) (*.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 #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))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))))) |
(if (<=.f64 A #s(literal -6772219815005301/615656346818663737691860001564743965704370926101022604186692084441339402679643915803347910232576806887603562348544 binary64)) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/180 binary64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64)))) |
(if (<=.f64 A #s(literal -2157076299348641/5016456510113118655434598811035278955030765345404790744303017523831112055108147451509157692220295382716162651878526895249385292291816524375083746691371804094271873160484737966720260389217684476157468082176 binary64)) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/180 binary64))) (if (<=.f64 A #s(literal 4941461262385513/3088413288990945714607167766096760666649729152895234960279866913260350640380788374205938472006792060778611417607373228628384532735989280347702230834056678923362997806954442769843550227998248540363155634742320939156524772391123850992097524347673943425610505012700786888921103128284156837954503288400970554554866145951744 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 A #s(literal 3759422102391189/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) (PI.f64))) (if (<=.f64 A #s(literal 4672471641076991/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) (*.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 #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))))) (*.f64 #s(literal -2 binary64) (/.f64 A B)))) (PI.f64))))))) |
(if (<=.f64 A #s(literal -2157076299348641/5016456510113118655434598811035278955030765345404790744303017523831112055108147451509157692220295382716162651878526895249385292291816524375083746691371804094271873160484737966720260389217684476157468082176 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) (if (<=.f64 A #s(literal 4941461262385513/3088413288990945714607167766096760666649729152895234960279866913260350640380788374205938472006792060778611417607373228628384532735989280347702230834056678923362997806954442769843550227998248540363155634742320939156524772391123850992097524347673943425610505012700786888921103128284156837954503288400970554554866145951744 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 A #s(literal 3759422102391189/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 C B) #s(literal 2 binary64)))) (PI.f64))) (if (<=.f64 A #s(literal 4672471641076991/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) (*.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 #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))))) (*.f64 #s(literal -2 binary64) (/.f64 A B)))) (PI.f64))))))) |
(if (<=.f64 A #s(literal -2157076299348641/5016456510113118655434598811035278955030765345404790744303017523831112055108147451509157692220295382716162651878526895249385292291816524375083746691371804094271873160484737966720260389217684476157468082176 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B A) #s(literal 1/2 binary64)))) (PI.f64))) (if (<=.f64 A #s(literal 7137681160693359/594806763391113225119224999259960224052504080663757783622308743726376262864161749418067325798462540235919489516077189220181834098217962283116332232440957850313188336178983949577074563933719094748095678312940574882427099482751152035262839576139463233204818042181657565129506139525873664 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 A #s(literal 4672471641076991/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) (*.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 #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))))) (*.f64 #s(literal -2 binary64) (/.f64 A B)))) (PI.f64)))))) |
(if (<=.f64 B #s(literal -6944120419548559/11972621413014756705924586149611790497021399392059392 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 8069530869021589/5043456793138493339171717132818382567050206626619577173497381555743452386751642958261026080625269202023248382759272448 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -2 binary64) (/.f64 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))))) |
(if (<=.f64 B #s(literal -2348542582773833/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 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 4321318352303853/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 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 4321318352303853/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 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 -4113761393303015/822752278660603021077484591278675252491367932816789931674304512 binary64)) (/.f64 (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))) (sqrt.f64 (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 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))))) (/.f64 (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))) (sqrt.f64 (PI.f64))))) |
(if (<=.f64 (*.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B #s(literal 2 binary64)) (pow.f64 (-.f64 A C) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) B)) #s(literal -4113761393303015/822752278660603021077484591278675252491367932816789931674304512 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))) (sqrt.f64 (PI.f64))) (if (<=.f64 (*.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B #s(literal 2 binary64)) (pow.f64 (-.f64 A C) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) B)) #s(literal 0 binary64)) (/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))))) (/.f64 (*.f64 (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B)) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))) (sqrt.f64 (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 -4113761393303015/822752278660603021077484591278675252491367932816789931674304512 binary64)) (/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (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 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))))) (/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))) |
(if (<=.f64 (*.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B #s(literal 2 binary64)) (pow.f64 (-.f64 A C) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) B)) #s(literal -4113761393303015/822752278660603021077484591278675252491367932816789931674304512 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64))) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B))) (sqrt.f64 (PI.f64))) (if (<=.f64 (*.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B #s(literal 2 binary64)) (pow.f64 (-.f64 A C) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) B)) #s(literal 0 binary64)) (/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))))) (/.f64 (*.f64 (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64))) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B))) (sqrt.f64 (PI.f64))))) |
(if (<=.f64 C #s(literal -7737125245533627/154742504910672534362390528 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 C #s(literal 5600000000000000180486366256461445777957189649145374392234397964991534420930929661223225994411540387715511913617258956959252480 binary64)) (/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B)) (/.f64 #s(literal 180 binary64) (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 B (/.f64 #s(literal -1/2 binary64) C)))) (PI.f64))))) |
(if (<=.f64 C #s(literal -7737125245533627/154742504910672534362390528 binary64)) (*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64)) #s(literal 180 binary64)) (if (<=.f64 C #s(literal 5600000000000000180486366256461445777957189649145374392234397964991534420930929661223225994411540387715511913617258956959252480 binary64)) (/.f64 (*.f64 (atan.f64 (/.f64 #s(approx (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (neg.f64 (+.f64 (hypot.f64 B A) A))) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 #s(literal -1/2 binary64) C) B))) (PI.f64)) #s(literal 180 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 -2535301200456459/2535301200456458802993406410752 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 7378697629483821/73786976294838206464 binary64)) (/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))))) (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) (PI.f64)))) |
(if (<=.f64 (*.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B #s(literal 2 binary64)) (pow.f64 (-.f64 A C) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) B)) #s(literal -2535301200456459/2535301200456458802993406410752 binary64)) (*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64)) #s(literal 180 binary64)) (if (<=.f64 (*.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B #s(literal 2 binary64)) (pow.f64 (-.f64 A C) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) B)) #s(literal 7378697629483821/73786976294838206464 binary64)) (/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 B C) #s(literal -1/2 binary64)))))) (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #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 -2535301200456459/2535301200456458802993406410752 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 7378697629483821/73786976294838206464 binary64)) (*.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 #s(literal -1/2 binary64) C)))) (PI.f64))) (/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) #s(literal 180 binary64)) (PI.f64)))) |
(if (<=.f64 (*.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B #s(literal 2 binary64)) (pow.f64 (-.f64 A C) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) B)) #s(literal -2535301200456459/2535301200456458802993406410752 binary64)) (*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64)) #s(literal 180 binary64)) (if (<=.f64 (*.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B #s(literal 2 binary64)) (pow.f64 (-.f64 A C) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) B)) #s(literal 7378697629483821/73786976294838206464 binary64)) (*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 #s(literal -1/2 binary64) C) B))) (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 (-.f64 C A) B) #s(literal 1 binary64)))) #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 -2535301200456459/2535301200456458802993406410752 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 7378697629483821/73786976294838206464 binary64)) (*.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 #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))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64))))) |
(if (<=.f64 (*.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B #s(literal 2 binary64)) (pow.f64 (-.f64 A C) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) B)) #s(literal -2535301200456459/2535301200456458802993406410752 binary64)) (*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64)) #s(literal 180 binary64)) (if (<=.f64 (*.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B #s(literal 2 binary64)) (pow.f64 (-.f64 A C) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) B)) #s(literal 7378697629483821/73786976294838206464 binary64)) (*.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 (/.f64 #s(literal -1/2 binary64) C) B))) (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 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64)) #s(literal 180 binary64)))) |
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(if (<=.f64 B #s(literal 4321318352303853/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) (*.f64 (/.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 (/.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 #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 (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)) |
| 8 674× | lower-fma.f64 |
| 8 674× | lower-fma.f32 |
| 8 674× | lower-fma.f64 |
| 8 674× | lower-fma.f32 |
| 8 400× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 543 |
| 0 | 93 | 454 |
| 1 | 325 | 428 |
| 2 | 2168 | 428 |
| 0 | 8498 | 428 |
| 0 | 637 | 18772 |
| 1 | 1986 | 18271 |
| 2 | 6132 | 18153 |
| 0 | 8475 | 14628 |
| 0 | 19 | 77 |
| 0 | 32 | 77 |
| 1 | 138 | 73 |
| 2 | 1029 | 73 |
| 0 | 8550 | 51 |
| 0 | 483 | 16651 |
| 1 | 1422 | 16335 |
| 2 | 4124 | 16254 |
| 0 | 8189 | 12873 |
| 0 | 52 | 494 |
| 0 | 85 | 385 |
| 1 | 313 | 367 |
| 2 | 1984 | 367 |
| 0 | 8285 | 367 |
| 0 | 629 | 4029 |
| 1 | 1968 | 3844 |
| 2 | 6094 | 3804 |
| 0 | 8438 | 3295 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 481 to 876 computations (40.9% saved)
Compiled 1 614 to 358 computations (77.8% saved)
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