
Time bar (total: 12.6s)
| 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)
| 1.0s | 5 511× | 0 | valid |
| 846.0ms | 1 682× | 2 | valid |
| 289.0ms | 1 063× | 1 | valid |
ival-div: 535.0ms (31.1% of total)ival-pow2: 232.0ms (13.5% of total)ival-sub: 214.0ms (12.5% of total)adjust: 200.0ms (11.6% of total)ival-mult: 173.0ms (10.1% of total)ival-sqrt: 167.0ms (9.7% of total)ival-atan: 93.0ms (5.4% of total)ival-add: 57.0ms (3.3% of total)ival-pi: 30.0ms (1.7% of total)exact: 8.0ms (0.5% of total)ival-true: 6.0ms (0.3% of total)ival-assert: 3.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 144 | 0 | - | 1 | (3.0036369779540136e-159 -8.10887838278175e-162 4.4562563642118374e-229) | (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) |
| 38 | 0 | - | 1 | (-1.3191945314927312e+169 2.6928105218592365e+168 -2.9037396969213306e-87) | (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))) |
| 21 | 0 | - | 2 | (-2.621174152003766e+39 -8.418069300483599e-140 6.565807049861148e+35) | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 3 | 0 | - | 3 | (-5.308231606196779e+214 -4.812167449386528e-99 -1.1665694192336889e-177) | (*.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 | 140 | 0 |
| ↳ | (pow.f64 B #s(literal 2 binary64)) | overflow | 68 | |
| ↳ | (pow.f64 (-.f64 A C) #s(literal 2 binary64)) | overflow | 99 | |
| ↳ | (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) | overflow | 140 | |
-.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 | 37 | 1 |
*.f64 | (*.f64 (/.f64 #s(literal 1 binary64) 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 | 19 | 0 |
sqrt.f64 | (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) | uflow-rescue | 3 | 0 |
| ↳ | (pow.f64 B #s(literal 2 binary64)) | underflow | 64 | |
| ↳ | (pow.f64 (-.f64 A C) #s(literal 2 binary64)) | underflow | 13 | |
| ↳ | (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) | underflow | 3 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 131 | 1 |
| - | 48 | 76 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 131 | 0 | 1 |
| - | 48 | 0 | 76 |
| number | freq |
|---|---|
| 0 | 77 |
| 1 | 159 |
| 2 | 20 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 47.0ms | 358× | 0 | valid |
| 44.0ms | 102× | 2 | valid |
| 13.0ms | 52× | 1 | valid |
Compiled 306 to 61 computations (80.1% saved)
ival-pow2: 12.0ms (17.7% of total)ival-sub: 10.0ms (14.7% of total)ival-div: 10.0ms (14.7% of total)ival-mult: 9.0ms (13.2% of total)adjust: 8.0ms (11.8% of total)ival-sqrt: 6.0ms (8.8% of total)ival-atan: 5.0ms (7.4% of total)ival-add: 3.0ms (4.4% of total)ival-pi: 2.0ms (2.9% of total)exact: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
| 4 768× | lower-fma.f64 |
| 4 768× | lower-fma.f32 |
| 1 636× | div-sub |
| 1 004× | lower-*.f32 |
| 1 000× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 219 |
| 1 | 194 | 195 |
| 2 | 561 | 193 |
| 3 | 1780 | 191 |
| 4 | 5521 | 191 |
| 0 | 19 | 23 |
| 0 | 32 | 23 |
| 1 | 51 | 21 |
| 2 | 94 | 21 |
| 3 | 237 | 21 |
| 4 | 613 | 21 |
| 5 | 1310 | 21 |
| 6 | 2156 | 21 |
| 7 | 3282 | 21 |
| 8 | 4112 | 21 |
| 9 | 4492 | 21 |
| 10 | 4576 | 21 |
| 11 | 4625 | 21 |
| 12 | 4663 | 21 |
| 13 | 4766 | 21 |
| 14 | 4798 | 21 |
| 15 | 4798 | 21 |
| 16 | 4798 | 21 |
| 0 | 4798 | 16 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
Compiled 26 to 19 computations (26.9% saved)
Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 54.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
Compiled 26 to 19 computations (26.9% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 128 | (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) | |
| cost-diff | 5952 | (pow.f64 (-.f64 A C) #s(literal 2 binary64)) | |
| cost-diff | 6144 | (pow.f64 B #s(literal 2 binary64)) |
| 4 768× | lower-fma.f64 |
| 4 768× | lower-fma.f32 |
| 1 004× | lower-*.f32 |
| 1 000× | lower-*.f64 |
| 940× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 138 |
| 0 | 32 | 138 |
| 1 | 51 | 130 |
| 2 | 94 | 130 |
| 3 | 237 | 130 |
| 4 | 613 | 130 |
| 5 | 1310 | 130 |
| 6 | 2156 | 130 |
| 7 | 3282 | 130 |
| 8 | 4112 | 130 |
| 9 | 4492 | 130 |
| 10 | 4576 | 130 |
| 11 | 4625 | 130 |
| 12 | 4663 | 130 |
| 13 | 4766 | 130 |
| 14 | 4798 | 130 |
| 15 | 4798 | 130 |
| 16 | 4798 | 130 |
| 0 | 4798 | 99 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) B) |
#s(literal 1 binary64) |
B |
(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))) |
(-.f64 C A) |
C |
A |
(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) |
(+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) |
(pow.f64 (-.f64 A C) #s(literal 2 binary64)) |
(-.f64 A C) |
#s(literal 2 binary64) |
(pow.f64 B #s(literal 2 binary64)) |
(PI.f64) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B)) (PI.f64)) |
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
(atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B)) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
(/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B) |
(/.f64 #s(literal 1 binary64) B) |
#s(literal 1 binary64) |
B |
(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))) |
(-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) |
(-.f64 C A) |
C |
A |
(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) |
(sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) |
(+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) |
(fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)) |
(pow.f64 (-.f64 A C) #s(literal 2 binary64)) |
(*.f64 (-.f64 C A) (-.f64 C A)) |
(-.f64 A C) |
#s(literal 2 binary64) |
(pow.f64 B #s(literal 2 binary64)) |
(*.f64 B B) |
(PI.f64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1590135429102932 | (*.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 | 4.474918713712049 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) | |
| accuracy | 8.338904558664293 | (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))) | |
| accuracy | 33.23356581104203 | (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) |
| 58.0ms | 179× | 0 | valid |
| 27.0ms | 51× | 2 | valid |
| 7.0ms | 26× | 1 | valid |
Compiled 140 to 21 computations (85% saved)
ival-div: 27.0ms (48.8% of total)ival-pow2: 6.0ms (10.8% of total)ival-sub: 5.0ms (9% of total)adjust: 4.0ms (7.2% of total)ival-mult: 4.0ms (7.2% 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)| Inputs |
|---|
#s(alt (pow.f64 B #s(literal 2 binary64)) (patch (pow.f64 B #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (patch (pow.f64 (-.f64 A C) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) (patch (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #<representation binary64>) () ()) |
#s(alt (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) (patch (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))) (patch (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (pow B 2) (taylor 0 B) (#s(alt (pow.f64 B #s(literal 2 binary64)) (patch (pow.f64 B #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow B 2) (taylor 0 B) (#s(alt (pow.f64 B #s(literal 2 binary64)) (patch (pow.f64 B #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow B 2) (taylor 0 B) (#s(alt (pow.f64 B #s(literal 2 binary64)) (patch (pow.f64 B #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow B 2) (taylor 0 B) (#s(alt (pow.f64 B #s(literal 2 binary64)) (patch (pow.f64 B #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow B 2) (taylor inf B) (#s(alt (pow.f64 B #s(literal 2 binary64)) (patch (pow.f64 B #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow B 2) (taylor inf B) (#s(alt (pow.f64 B #s(literal 2 binary64)) (patch (pow.f64 B #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow B 2) (taylor inf B) (#s(alt (pow.f64 B #s(literal 2 binary64)) (patch (pow.f64 B #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow B 2) (taylor inf B) (#s(alt (pow.f64 B #s(literal 2 binary64)) (patch (pow.f64 B #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow B 2) (taylor -inf B) (#s(alt (pow.f64 B #s(literal 2 binary64)) (patch (pow.f64 B #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow B 2) (taylor -inf B) (#s(alt (pow.f64 B #s(literal 2 binary64)) (patch (pow.f64 B #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow B 2) (taylor -inf B) (#s(alt (pow.f64 B #s(literal 2 binary64)) (patch (pow.f64 B #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow B 2) (taylor -inf B) (#s(alt (pow.f64 B #s(literal 2 binary64)) (patch (pow.f64 B #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow C 2) (taylor 0 A) (#s(alt (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (patch (pow.f64 (-.f64 A C) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 (* A C)) (pow C 2)) (taylor 0 A) (#s(alt (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (patch (pow.f64 (-.f64 A C) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* A (+ A (* -2 C))) (pow C 2)) (taylor 0 A) (#s(alt (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (patch (pow.f64 (-.f64 A C) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
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54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | A | @ | -inf | (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) |
| 1.0ms | B | @ | 0 | (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) |
| 1.0ms | A | @ | 0 | (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) |
| 1.0ms | C | @ | 0 | (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) |
| 1.0ms | A | @ | -inf | (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) |
| 1× | egg-herbie |
| 8 978× | lower-fma.f64 |
| 8 978× | lower-fma.f32 |
| 5 834× | lower-*.f64 |
| 5 834× | lower-*.f32 |
| 3 320× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 653 | 4303 |
| 1 | 2037 | 4108 |
| 2 | 6286 | 4068 |
| 0 | 8196 | 3537 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow C 2) |
(+ (* -2 (* A C)) (pow C 2)) |
(+ (* A (+ A (* -2 C))) (pow C 2)) |
(+ (* A (+ A (* -2 C))) (pow C 2)) |
(pow A 2) |
(* (pow A 2) (+ 1 (* -2 (/ C A)))) |
(* (pow A 2) (+ 1 (+ (* -2 (/ C A)) (/ (pow C 2) (pow A 2))))) |
(* (pow A 2) (+ 1 (+ (* -2 (/ C A)) (/ (pow C 2) (pow A 2))))) |
(pow A 2) |
(* (pow A 2) (+ 1 (* -2 (/ C A)))) |
(* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow C 2) A)) (* 2 C)) A)))) |
(* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow C 2) A)) (* 2 C)) A)))) |
(pow A 2) |
(+ (* -2 (* A C)) (pow A 2)) |
(+ (* C (+ C (* -2 A))) (pow A 2)) |
(+ (* C (+ C (* -2 A))) (pow A 2)) |
(pow C 2) |
(* (pow C 2) (+ 1 (* -2 (/ A C)))) |
(* (pow C 2) (+ 1 (+ (* -2 (/ A C)) (/ (pow A 2) (pow C 2))))) |
(* (pow C 2) (+ 1 (+ (* -2 (/ A C)) (/ (pow A 2) (pow C 2))))) |
(pow C 2) |
(* (pow C 2) (+ 1 (* -2 (/ A C)))) |
(* (pow C 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow A 2) C)) (* 2 A)) C)))) |
(* (pow C 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow A 2) C)) (* 2 A)) C)))) |
(/ (- (* 2 C) (* 2 A)) B) |
(/ (- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
-1 |
(- (/ C B) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
1 |
(- (+ 1 (/ C B)) (/ A B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- A C) 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) B))) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(* -1 (/ (+ A (* -1 A)) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B) |
(- (+ (* -1 (/ (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* -1/2 (* (/ (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* A (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) B) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(* -2 (/ A B)) |
(* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(+ (pow B 2) (pow C 2)) |
(+ (* -2 (* A C)) (+ (pow B 2) (pow C 2))) |
(+ (* A (+ A (* -2 C))) (+ (pow B 2) (pow C 2))) |
(+ (* A (+ A (* -2 C))) (+ (pow B 2) (pow C 2))) |
(pow A 2) |
(* (pow A 2) (+ 1 (* -2 (/ C A)))) |
(* (pow A 2) (+ 1 (+ (* -2 (/ C A)) (+ (/ (pow B 2) (pow A 2)) (/ (pow C 2) (pow A 2)))))) |
(* (pow A 2) (+ 1 (+ (* -2 (/ C A)) (+ (/ (pow B 2) (pow A 2)) (/ (pow C 2) (pow A 2)))))) |
(pow A 2) |
(* (pow A 2) (+ 1 (* -2 (/ C A)))) |
(* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow B 2) (pow C 2)) A)) (* 2 C)) A)))) |
(* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow B 2) (pow C 2)) A)) (* 2 C)) A)))) |
(+ (pow A 2) (pow B 2)) |
(+ (* -2 (* A C)) (+ (pow A 2) (pow B 2))) |
(+ (* C (+ C (* -2 A))) (+ (pow A 2) (pow B 2))) |
(+ (* C (+ C (* -2 A))) (+ (pow A 2) (pow B 2))) |
(pow C 2) |
(* (pow C 2) (+ 1 (* -2 (/ A C)))) |
(* (pow C 2) (+ 1 (+ (* -2 (/ A C)) (+ (/ (pow A 2) (pow C 2)) (/ (pow B 2) (pow C 2)))))) |
(* (pow C 2) (+ 1 (+ (* -2 (/ A C)) (+ (/ (pow A 2) (pow C 2)) (/ (pow B 2) (pow C 2)))))) |
(pow C 2) |
(* (pow C 2) (+ 1 (* -2 (/ A C)))) |
(* (pow C 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow A 2) (pow B 2)) C)) (* 2 A)) C)))) |
(* (pow C 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow A 2) (pow B 2)) C)) (* 2 A)) C)))) |
(pow (- A C) 2) |
(+ (pow B 2) (pow (- A C) 2)) |
(+ (pow B 2) (pow (- A C) 2)) |
(+ (pow B 2) (pow (- A C) 2)) |
(pow B 2) |
(* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2)))) |
(* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2)))) |
(* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2)))) |
(pow B 2) |
(* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2)))) |
(* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2)))) |
(* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2)))) |
(sqrt (+ (pow B 2) (pow C 2))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* A (+ (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (* 1/2 (* (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* A (+ (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (* A (+ (* 1/2 (* (sqrt (/ 1 (+ (pow B 2) (pow C 2)))) (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (* 1/2 (* (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3)))))))))) |
A |
(* A (+ 1 (* -1 (/ C A)))) |
(* A (+ 1 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2)))))) |
(* A (+ 1 (+ (* -1 (/ C A)) (+ (* 1/2 (/ (* (pow B 2) C) (pow A 3))) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(* -1 A) |
(* -1 (* A (+ 1 (* -1 (/ C A))))) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1/2 (/ (pow B 2) A))) A))))) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1 (/ (+ (* 1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A))) A))))) |
(sqrt (+ (pow A 2) (pow B 2))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* C (+ (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (* 1/2 (* (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* C (+ (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (* C (+ (* 1/2 (* (sqrt (/ 1 (+ (pow A 2) (pow B 2)))) (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (* 1/2 (* (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3)))))))))) |
C |
(* C (+ 1 (* -1 (/ A C)))) |
(* C (+ 1 (+ (* -1 (/ A C)) (* 1/2 (/ (pow B 2) (pow C 2)))))) |
(* C (+ 1 (+ (* -1 (/ A C)) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 3))) (* 1/2 (/ (pow B 2) (pow C 2))))))) |
(* -1 C) |
(* -1 (* C (+ 1 (* -1 (/ A C))))) |
(* -1 (* C (+ 1 (* -1 (/ (+ A (* -1/2 (/ (pow B 2) C))) C))))) |
(* -1 (* C (+ 1 (* -1 (/ (+ A (* -1 (/ (+ (* 1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C))) C))))) |
(- A C) |
(- (+ A (* 1/2 (/ (pow B 2) (- A C)))) C) |
(- (+ A (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) C) |
(- (+ A (* (pow B 2) (+ (* (pow B 2) (- (* 1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) C) |
B |
(* B (+ 1 (* 1/2 (/ (pow (- A C) 2) (pow B 2))))) |
(* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (* 1/2 (/ (pow (- A C) 2) (pow B 2)))))) |
(* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (+ (* 1/16 (/ (pow (- A C) 6) (pow B 6))) (* 1/2 (/ (pow (- A C) 2) (pow B 2))))))) |
(* -1 B) |
(* -1 (* B (+ 1 (* 1/2 (/ (pow (- A C) 2) (pow B 2)))))) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (* 1/2 (/ (pow (- A C) 2) (pow B 2))))))) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (+ (* 1/16 (/ (pow (- A C) 6) (pow B 6))) (* 1/2 (/ (pow (- A C) 2) (pow B 2)))))))) |
(* -1 (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(- (* C (- 1 (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(- (* C (- (+ 1 (* -1/2 (* (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(- (* C (- (+ 1 (* C (- (* -1/2 (* (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow A 2) (pow B 2)))) (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(* -1 (+ A (* -1 A))) |
(- (* -1/2 (/ (pow B 2) C)) (+ A (* -1 A))) |
(- (* -1/2 (/ (* A (pow B 2)) (pow C 2))) (+ A (+ (* -1 A) (* 1/2 (/ (pow B 2) C))))) |
(- (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (pow C 3))) (+ A (+ (* -1 A) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 2))) (* 1/2 (/ (pow B 2) C)))))) |
(* 2 C) |
(* -1 (* C (- (* 2 (/ A C)) 2))) |
(* -1 (* C (- (* -1 (/ (- (* 1/2 (/ (pow B 2) C)) (* 2 A)) C)) 2))) |
(* -1 (* C (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C)) (* 2 A)) C)) 2))) |
(- C (sqrt (+ (pow B 2) (pow C 2)))) |
(- (+ C (* -1 (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(- (+ C (* A (- (* -1/2 (* (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(- (+ C (* A (- (* A (- (* -1/2 (* (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow B 2) (pow C 2)))) (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(* -2 A) |
(* A (- (/ C A) (+ 2 (* -1 (/ C A))))) |
(* A (- (+ (* -1/2 (/ (pow B 2) (pow A 2))) (/ C A)) (+ 2 (* -1 (/ C A))))) |
(* A (- (+ (* -1/2 (/ (* (pow B 2) C) (pow A 3))) (/ C A)) (+ 2 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(* 1/2 (/ (pow B 2) A)) |
(* -1 (/ (- (* -1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A)) |
(* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) A)) (* -1/2 (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(- (* 2 C) (* 2 A)) |
(- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) |
(- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) |
(- (+ (* 2 C) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) |
(* -1 B) |
(* B (- (/ C B) (+ 1 (/ A B)))) |
(* B (- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B)))) |
(* B (- (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B)) (+ 1 (+ (* 1/2 (/ (pow (- A C) 2) (pow B 2))) (/ A B))))) |
B |
(* -1 (* B (- (* -1 (/ (- C A) B)) 1))) |
(* -1 (* B (- (* -1 (/ (- (+ C (* 1/2 (/ (pow (- A C) 2) B))) A) B)) 1))) |
(* -1 (* B (- (* -1 (/ (- (+ C (* -1 (/ (- (* 1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) A) B)) 1))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
| Outputs |
|---|
(pow B 2) |
(*.f64 B B) |
(pow B 2) |
(*.f64 B B) |
(pow B 2) |
(*.f64 B B) |
(pow B 2) |
(*.f64 B B) |
(pow B 2) |
(*.f64 B B) |
(pow B 2) |
(*.f64 B B) |
(pow B 2) |
(*.f64 B B) |
(pow B 2) |
(*.f64 B B) |
(pow B 2) |
(*.f64 B B) |
(pow B 2) |
(*.f64 B B) |
(pow B 2) |
(*.f64 B B) |
(pow B 2) |
(*.f64 B B) |
(pow C 2) |
(*.f64 C C) |
(+ (* -2 (* A C)) (pow C 2)) |
(*.f64 C (fma.f64 #s(literal -2 binary64) A C)) |
(+ (* A (+ A (* -2 C))) (pow C 2)) |
(fma.f64 C (fma.f64 #s(literal -2 binary64) A C) (*.f64 A A)) |
(+ (* A (+ A (* -2 C))) (pow C 2)) |
(fma.f64 C (fma.f64 #s(literal -2 binary64) A C) (*.f64 A A)) |
(pow A 2) |
(*.f64 A A) |
(* (pow A 2) (+ 1 (* -2 (/ C A)))) |
(*.f64 (*.f64 A A) (fma.f64 #s(literal -2 binary64) (/.f64 C A) #s(literal 1 binary64))) |
(* (pow A 2) (+ 1 (+ (* -2 (/ C A)) (/ (pow C 2) (pow A 2))))) |
(*.f64 (*.f64 A A) (fma.f64 C (/.f64 C (*.f64 A A)) (fma.f64 #s(literal -2 binary64) (/.f64 C A) #s(literal 1 binary64)))) |
(* (pow A 2) (+ 1 (+ (* -2 (/ C A)) (/ (pow C 2) (pow A 2))))) |
(*.f64 (*.f64 A A) (fma.f64 C (/.f64 C (*.f64 A A)) (fma.f64 #s(literal -2 binary64) (/.f64 C A) #s(literal 1 binary64)))) |
(pow A 2) |
(*.f64 A A) |
(* (pow A 2) (+ 1 (* -2 (/ C A)))) |
(*.f64 (*.f64 A A) (fma.f64 #s(literal -2 binary64) (/.f64 C A) #s(literal 1 binary64))) |
(* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow C 2) A)) (* 2 C)) A)))) |
(*.f64 (*.f64 A A) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) C (*.f64 C (/.f64 C (neg.f64 A)))) A))) |
(* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow C 2) A)) (* 2 C)) A)))) |
(*.f64 (*.f64 A A) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) C (*.f64 C (/.f64 C (neg.f64 A)))) A))) |
(pow A 2) |
(*.f64 A A) |
(+ (* -2 (* A C)) (pow A 2)) |
(*.f64 A (fma.f64 C #s(literal -2 binary64) A)) |
(+ (* C (+ C (* -2 A))) (pow A 2)) |
(fma.f64 C (fma.f64 #s(literal -2 binary64) A C) (*.f64 A A)) |
(+ (* C (+ C (* -2 A))) (pow A 2)) |
(fma.f64 C (fma.f64 #s(literal -2 binary64) A C) (*.f64 A A)) |
(pow C 2) |
(*.f64 C C) |
(* (pow C 2) (+ 1 (* -2 (/ A C)))) |
(*.f64 C (*.f64 C (fma.f64 #s(literal -2 binary64) (/.f64 A C) #s(literal 1 binary64)))) |
(* (pow C 2) (+ 1 (+ (* -2 (/ A C)) (/ (pow A 2) (pow C 2))))) |
(*.f64 C (*.f64 C (fma.f64 #s(literal -2 binary64) (/.f64 A C) (fma.f64 A (/.f64 A (*.f64 C C)) #s(literal 1 binary64))))) |
(* (pow C 2) (+ 1 (+ (* -2 (/ A C)) (/ (pow A 2) (pow C 2))))) |
(*.f64 C (*.f64 C (fma.f64 #s(literal -2 binary64) (/.f64 A C) (fma.f64 A (/.f64 A (*.f64 C C)) #s(literal 1 binary64))))) |
(pow C 2) |
(*.f64 C C) |
(* (pow C 2) (+ 1 (* -2 (/ A C)))) |
(*.f64 C (*.f64 C (fma.f64 #s(literal -2 binary64) (/.f64 A C) #s(literal 1 binary64)))) |
(* (pow C 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow A 2) C)) (* 2 A)) C)))) |
(*.f64 (*.f64 C C) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) A) (/.f64 (*.f64 A A) C)) C))) |
(* (pow C 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow A 2) C)) (* 2 A)) C)))) |
(*.f64 (*.f64 C C) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) A) (/.f64 (*.f64 A A) C)) C))) |
(/ (- (* 2 C) (* 2 A)) B) |
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 C A)) B) |
(/ (- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) B) |
(/.f64 (fma.f64 #s(literal 2 binary64) (-.f64 C A) (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) (-.f64 A C))) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 B B) (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (-.f64 A C)))) (/.f64 #s(literal -1/2 binary64) (-.f64 A C))) (*.f64 #s(literal 2 binary64) (-.f64 C A))) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 B B) (pow.f64 (-.f64 A C) #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (-.f64 A C))))) (/.f64 #s(literal -1/2 binary64) (-.f64 A C))) (*.f64 #s(literal 2 binary64) (-.f64 C A))) B) |
-1 |
#s(literal -1 binary64) |
(- (/ C B) (+ 1 (/ A B))) |
(+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B)) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 A C) #s(literal 4 binary64)) (*.f64 (*.f64 B B) (*.f64 B B))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ C B)) (/ A B)) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- A C) 2) B))) B))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (-.f64 A C) (-.f64 C A)) (/.f64 #s(literal 1/2 binary64) B) (-.f64 A C)) B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) B))) |
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A |
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(fma.f64 C (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) C) (-.f64 #s(literal 1 binary64) (*.f64 A (/.f64 A (fma.f64 A A (*.f64 B B))))) (neg.f64 A))) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* C (+ (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (* C (+ (* 1/2 (* (sqrt (/ 1 (+ (pow A 2) (pow B 2)))) (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (* 1/2 (* (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3)))))))))) |
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C |
(* C (+ 1 (* -1 (/ A C)))) |
(-.f64 C (*.f64 C (/.f64 A C))) |
(* C (+ 1 (+ (* -1 (/ A C)) (* 1/2 (/ (pow B 2) (pow C 2)))))) |
(fma.f64 C (-.f64 (/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) (*.f64 C C)) (/.f64 A C)) C) |
(* C (+ 1 (+ (* -1 (/ A C)) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 3))) (* 1/2 (/ (pow B 2) (pow C 2))))))) |
(fma.f64 C (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 B B) (/.f64 A (*.f64 C (*.f64 C C))) (/.f64 (*.f64 B B) (*.f64 C C))) (/.f64 (neg.f64 A) C)) C) |
(* -1 C) |
(neg.f64 C) |
(* -1 (* C (+ 1 (* -1 (/ A C))))) |
(fma.f64 C (/.f64 A C) (neg.f64 C)) |
(* -1 (* C (+ 1 (* -1 (/ (+ A (* -1/2 (/ (pow B 2) C))) C))))) |
(fma.f64 C (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) C) A) C) (neg.f64 C)) |
(* -1 (* C (+ 1 (* -1 (/ (+ A (* -1 (/ (+ (* 1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C))) C))))) |
(fma.f64 C (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 B B (/.f64 (*.f64 (*.f64 B B) A) C)) C) A) C) (neg.f64 C)) |
(- A C) |
(-.f64 A C) |
(- (+ A (* 1/2 (/ (pow B 2) (- A C)))) C) |
(-.f64 (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/2 binary64) (-.f64 A C)) A) C) |
(- (+ A (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) C) |
(fma.f64 (*.f64 B B) (fma.f64 (/.f64 (*.f64 B B) (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (-.f64 A C)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 A C))) (-.f64 A C)) |
(- (+ A (* (pow B 2) (+ (* (pow B 2) (- (* 1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) C) |
(fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (/.f64 (*.f64 B B) (pow.f64 (-.f64 A C) #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (-.f64 C A))))) (/.f64 #s(literal 1/2 binary64) (-.f64 A C))) (-.f64 A C)) |
B |
(* B (+ 1 (* 1/2 (/ (pow (- A C) 2) (pow B 2))))) |
(fma.f64 B (/.f64 (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) #s(literal 1/2 binary64))) (*.f64 B B)) B) |
(* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (* 1/2 (/ (pow (- A C) 2) (pow B 2)))))) |
(fma.f64 B (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B)) (/.f64 (*.f64 (pow.f64 (-.f64 A C) #s(literal 4 binary64)) #s(literal -1/8 binary64)) (*.f64 (*.f64 B B) (*.f64 B B)))) B) |
(* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (+ (* 1/16 (/ (pow (- A C) 6) (pow B 6))) (* 1/2 (/ (pow (- A C) 2) (pow B 2))))))) |
(fma.f64 B (fma.f64 (/.f64 (pow.f64 (-.f64 A C) #s(literal 4 binary64)) (*.f64 (*.f64 B B) (*.f64 B B))) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B)) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (-.f64 A C) #s(literal 6 binary64))) (pow.f64 B #s(literal 6 binary64))))) B) |
(* -1 B) |
(neg.f64 B) |
(* -1 (* B (+ 1 (* 1/2 (/ (pow (- A C) 2) (pow B 2)))))) |
(fma.f64 (*.f64 B (/.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B))) #s(literal -1/2 binary64) (neg.f64 B)) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (* 1/2 (/ (pow (- A C) 2) (pow B 2))))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 A C) #s(literal 4 binary64)) (*.f64 (*.f64 B B) (*.f64 B B))) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B)) #s(literal 1 binary64))) (neg.f64 B)) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (+ (* 1/16 (/ (pow (- A C) 6) (pow B 6))) (* 1/2 (/ (pow (- A C) 2) (pow B 2)))))))) |
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(* -1 (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) |
(- (* C (- 1 (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(-.f64 (fma.f64 C (fma.f64 A (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 A A (*.f64 B B))))) A) |
(- (* C (- (+ 1 (* -1/2 (* (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(fma.f64 C (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) C) (-.f64 #s(literal 1 binary64) (*.f64 A (/.f64 A (fma.f64 A A (*.f64 B B))))) A) #s(literal 1 binary64)) (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B))))) |
(- (* C (- (+ 1 (* C (- (* -1/2 (* (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow A 2) (pow B 2)))) (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
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(* -1 (+ A (* -1 A))) |
#s(literal 0 binary64) |
(- (* -1/2 (/ (pow B 2) C)) (+ A (* -1 A))) |
(/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C) |
(- (* -1/2 (/ (* A (pow B 2)) (pow C 2))) (+ A (+ (* -1 A) (* 1/2 (/ (pow B 2) C))))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 B B (/.f64 (*.f64 (*.f64 B B) A) C))) C) |
(- (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (pow C 3))) (+ A (+ (* -1 A) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 2))) (* 1/2 (/ (pow B 2) C)))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/4 binary64)) (*.f64 B (*.f64 B (*.f64 A A)))) (*.f64 C (*.f64 C C))) (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 B B) (/.f64 A (*.f64 C C)) (/.f64 (*.f64 B B) C)))) |
(* 2 C) |
(*.f64 #s(literal 2 binary64) C) |
(* -1 (* C (- (* 2 (/ A C)) 2))) |
(neg.f64 (*.f64 C (fma.f64 #s(literal 2 binary64) (/.f64 A C) #s(literal -2 binary64)))) |
(* -1 (* C (- (* -1 (/ (- (* 1/2 (/ (pow B 2) C)) (* 2 A)) C)) 2))) |
(*.f64 (-.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 B B) C) (*.f64 #s(literal -2 binary64) A)) C)) (neg.f64 C)) |
(* -1 (* C (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C)) (* 2 A)) C)) 2))) |
(*.f64 (+.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 B B (/.f64 (*.f64 (*.f64 B B) A) C)) C) (*.f64 #s(literal 2 binary64) A)) C)) (neg.f64 C)) |
(- C (sqrt (+ (pow B 2) (pow C 2)))) |
(-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) |
(- (+ C (* -1 (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(fma.f64 A (fma.f64 C (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) #s(literal -1 binary64)) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) |
(- (+ C (* A (- (* -1/2 (* (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(fma.f64 A (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) (*.f64 (*.f64 #s(literal -1/2 binary64) A) (fma.f64 (neg.f64 C) (/.f64 C (fma.f64 B B (*.f64 C C))) #s(literal 1 binary64))) (fma.f64 C (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) #s(literal -1 binary64))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) |
(- (+ C (* A (- (* A (- (* -1/2 (* (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow B 2) (pow C 2)))) (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(fma.f64 A (fma.f64 A (*.f64 #s(literal -1/2 binary64) (fma.f64 A (*.f64 (*.f64 C (fma.f64 (neg.f64 C) (/.f64 C (fma.f64 B B (*.f64 C C))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 B B (*.f64 C C)) (*.f64 (fma.f64 B B (*.f64 C C)) (fma.f64 B B (*.f64 C C))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) (fma.f64 (neg.f64 C) (/.f64 C (fma.f64 B B (*.f64 C C))) #s(literal 1 binary64))))) (fma.f64 C (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) #s(literal -1 binary64))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) |
(* -2 A) |
(*.f64 #s(literal -2 binary64) A) |
(* A (- (/ C A) (+ 2 (* -1 (/ C A))))) |
(*.f64 A (+.f64 (/.f64 C A) (+.f64 #s(literal -2 binary64) (/.f64 C A)))) |
(* A (- (+ (* -1/2 (/ (pow B 2) (pow A 2))) (/ C A)) (+ 2 (* -1 (/ C A))))) |
(*.f64 A (+.f64 (/.f64 C A) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) (*.f64 A A)) (+.f64 #s(literal -2 binary64) (/.f64 C A))))) |
(* A (- (+ (* -1/2 (/ (* (pow B 2) C) (pow A 3))) (/ C A)) (+ 2 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(*.f64 A (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 B B) C) (*.f64 A (*.f64 A A))) (/.f64 C A)) (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/2 binary64) (*.f64 A A)) (-.f64 #s(literal 2 binary64) (/.f64 C A))))) |
(* 1/2 (/ (pow B 2) A)) |
(/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) A) |
(* -1 (/ (- (* -1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 B B (*.f64 C (/.f64 (*.f64 B B) A)))) A) |
(* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/4 binary64)) (*.f64 C (*.f64 (*.f64 B B) C))) A) (*.f64 (*.f64 B B) C)) A) (*.f64 (*.f64 B B) #s(literal 1/2 binary64))) A) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) A)) (* -1/2 (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(/.f64 (fma.f64 (*.f64 B B) #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/4 binary64)) (*.f64 C (*.f64 (*.f64 B B) C))) (neg.f64 C) (*.f64 #s(literal -1/2 binary64) (*.f64 C (*.f64 (*.f64 B B) (*.f64 B B))))) A) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 B B) (*.f64 B B)))) (*.f64 C (*.f64 (*.f64 B B) C))) A) (*.f64 C (*.f64 (*.f64 B B) #s(literal -1/2 binary64)))) A)) (neg.f64 A)) |
(- (* 2 C) (* 2 A)) |
(*.f64 #s(literal 2 binary64) (-.f64 C A)) |
(- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) |
(fma.f64 #s(literal 2 binary64) (-.f64 C A) (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) (-.f64 A C))) |
(- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) |
(fma.f64 (*.f64 B B) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 B B) (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (-.f64 A C)))) (/.f64 #s(literal -1/2 binary64) (-.f64 A C))) (*.f64 #s(literal 2 binary64) (-.f64 C A))) |
(- (+ (* 2 C) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) |
(fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 B B) (pow.f64 (-.f64 A C) #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (-.f64 A C))))) (/.f64 #s(literal -1/2 binary64) (-.f64 A C))) (*.f64 #s(literal 2 binary64) (-.f64 C A))) |
(* -1 B) |
(neg.f64 B) |
(* B (- (/ C B) (+ 1 (/ A B)))) |
(*.f64 B (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) |
(* B (- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B)))) |
(*.f64 B (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B)) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) |
(* B (- (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B)) (+ 1 (+ (* 1/2 (/ (pow (- A C) 2) (pow B 2))) (/ A B))))) |
(*.f64 B (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 A C) #s(literal 4 binary64)) (*.f64 (*.f64 B B) (*.f64 B B))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) |
B |
(* -1 (* B (- (* -1 (/ (- C A) B)) 1))) |
(neg.f64 (fma.f64 B (/.f64 (-.f64 A C) B) (neg.f64 B))) |
(* -1 (* B (- (* -1 (/ (- (+ C (* 1/2 (/ (pow (- A C) 2) B))) A) B)) 1))) |
(*.f64 B (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 A C) (-.f64 A C)) B) (-.f64 C A)) B)))) |
(* -1 (* B (- (* -1 (/ (- (+ C (* -1 (/ (- (* 1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) A) B)) 1))) |
(*.f64 (neg.f64 B) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 C (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 A C) (-.f64 A C)) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 A C) #s(literal 4 binary64))) (*.f64 B B))) B)) A) B))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
| 4 914× | lower-fma.f64 |
| 4 914× | lower-fma.f32 |
| 4 236× | lower-*.f32 |
| 4 232× | lower-*.f64 |
| 3 400× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 82 |
| 0 | 32 | 82 |
| 1 | 138 | 78 |
| 2 | 1029 | 78 |
| 0 | 8555 | 56 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(pow.f64 B #s(literal 2 binary64)) |
(pow.f64 (-.f64 A C) #s(literal 2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
(+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) |
(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) |
(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| Outputs |
|---|
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 B))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 B)) #s(literal 1 binary64))) |
(/.f64 B (/.f64 #s(literal 1 binary64) B)) |
(pow.f64 B #s(literal 2 binary64)) |
(pow.f64 (*.f64 B B) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 B)) |
(*.f64 B B) |
(*.f64 (*.f64 B B) #s(literal 1 binary64)) |
(+.f64 (*.f64 A (-.f64 A C)) (*.f64 C (-.f64 C A))) |
(+.f64 (*.f64 C (-.f64 C A)) (*.f64 A (-.f64 A C))) |
(+.f64 (*.f64 (-.f64 A C) A) (neg.f64 (*.f64 (-.f64 A C) C))) |
(+.f64 (neg.f64 (*.f64 (-.f64 A C) C)) (*.f64 (-.f64 A C) A)) |
(+.f64 (*.f64 (-.f64 C A) C) (neg.f64 (*.f64 (-.f64 C A) A))) |
(+.f64 (neg.f64 (*.f64 (-.f64 C A) A)) (*.f64 (-.f64 C A) C)) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (-.f64 A C)))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (-.f64 A C))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (-.f64 C A)) #s(literal 2 binary64))) |
(fma.f64 A (-.f64 A C) (*.f64 C (-.f64 C A))) |
(fma.f64 C (-.f64 C A) (*.f64 A (-.f64 A C))) |
(fma.f64 (-.f64 A C) A (neg.f64 (*.f64 (-.f64 A C) C))) |
(fma.f64 (-.f64 A C) (neg.f64 C) (*.f64 (-.f64 A C) A)) |
(fma.f64 (-.f64 C A) C (neg.f64 (*.f64 (-.f64 C A) A))) |
(fma.f64 (-.f64 C A) (neg.f64 A) (*.f64 (-.f64 C A) C)) |
(fma.f64 (neg.f64 C) (-.f64 A C) (*.f64 A (-.f64 A C))) |
(fma.f64 (neg.f64 A) (-.f64 C A) (*.f64 C (-.f64 C A))) |
(/.f64 (-.f64 A C) (/.f64 #s(literal 1 binary64) (-.f64 A C))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (fma.f64 A A (*.f64 C (+.f64 A C)))) (*.f64 (*.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (-.f64 A C)) (*.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (-.f64 A C))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (+.f64 A C)) (*.f64 (*.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (-.f64 A C)) (*.f64 (-.f64 A C) (+.f64 A C))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 A C) (fma.f64 A A (*.f64 C (+.f64 A C)))) (*.f64 (*.f64 (-.f64 A C) (+.f64 A C)) (*.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (-.f64 A C))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (*.f64 (-.f64 A C) (*.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (-.f64 A C))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 A C) (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (+.f64 A C))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (*.f64 (*.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (-.f64 A C)) (-.f64 A C)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 A C) (*.f64 (*.f64 (-.f64 A C) (+.f64 A C)) (-.f64 A C)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) (fma.f64 A (+.f64 A C) (*.f64 C C))) (*.f64 (*.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) (-.f64 C A)) (*.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) (-.f64 C A))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) (+.f64 A C)) (*.f64 (*.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) (-.f64 C A)) (*.f64 (-.f64 C A) (+.f64 A C))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 A C) (fma.f64 A (+.f64 A C) (*.f64 C C))) (*.f64 (*.f64 (-.f64 C A) (+.f64 A C)) (*.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) (-.f64 C A))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 A C) (+.f64 A C)) (*.f64 (*.f64 (+.f64 A C) (+.f64 A C)) (*.f64 (-.f64 A C) (-.f64 A C))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) (*.f64 (-.f64 C A) (*.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) (-.f64 C A))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 A C) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (+.f64 A C))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) (*.f64 (*.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) (-.f64 C A)) (-.f64 C A)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 A C) (*.f64 (*.f64 (-.f64 C A) (+.f64 A C)) (-.f64 C A)))) |
(/.f64 (-.f64 C A) (/.f64 #s(literal 1 binary64) (-.f64 C A))) |
(/.f64 (*.f64 (*.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (-.f64 A C)) (*.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (-.f64 A C))) (*.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (fma.f64 A A (*.f64 C (+.f64 A C))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (-.f64 A C)) (*.f64 (-.f64 A C) (+.f64 A C))) (*.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (+.f64 A C))) |
(/.f64 (*.f64 (*.f64 (-.f64 A C) (+.f64 A C)) (*.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (-.f64 A C))) (*.f64 (+.f64 A C) (fma.f64 A A (*.f64 C (+.f64 A C))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) (-.f64 C A)) (*.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) (-.f64 C A))) (*.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) (fma.f64 A (+.f64 A C) (*.f64 C C)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) (-.f64 C A)) (*.f64 (-.f64 C A) (+.f64 A C))) (*.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) (+.f64 A C))) |
(/.f64 (*.f64 (*.f64 (-.f64 C A) (+.f64 A C)) (*.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) (-.f64 C A))) (*.f64 (+.f64 A C) (fma.f64 A (+.f64 A C) (*.f64 C C)))) |
(/.f64 (*.f64 (*.f64 (+.f64 A C) (+.f64 A C)) (*.f64 (-.f64 A C) (-.f64 A C))) (*.f64 (+.f64 A C) (+.f64 A C))) |
(/.f64 (*.f64 (-.f64 A C) (*.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (-.f64 A C))) (fma.f64 A A (*.f64 C (+.f64 A C)))) |
(/.f64 (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (+.f64 A C))) (+.f64 A C)) |
(/.f64 (*.f64 (-.f64 C A) (*.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) (-.f64 C A))) (fma.f64 A (+.f64 A C) (*.f64 C C))) |
(/.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (+.f64 A C))) (+.f64 A C)) |
(/.f64 (*.f64 (*.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (-.f64 A C)) (-.f64 A C)) (fma.f64 A A (*.f64 C (+.f64 A C)))) |
(/.f64 (*.f64 (*.f64 (-.f64 A C) (+.f64 A C)) (-.f64 A C)) (+.f64 A C)) |
(/.f64 (*.f64 (*.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) (-.f64 C A)) (-.f64 C A)) (fma.f64 A (+.f64 A C) (*.f64 C C))) |
(/.f64 (*.f64 (*.f64 (-.f64 C A) (+.f64 A C)) (-.f64 C A)) (+.f64 A C)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (-.f64 A C)) (*.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (-.f64 A C)))) (neg.f64 (*.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (fma.f64 A A (*.f64 C (+.f64 A C)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (-.f64 A C)) (*.f64 (-.f64 A C) (+.f64 A C)))) (neg.f64 (*.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (+.f64 A C)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 A C) (+.f64 A C)) (*.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (-.f64 A C)))) (neg.f64 (*.f64 (+.f64 A C) (fma.f64 A A (*.f64 C (+.f64 A C)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 A C) (+.f64 A C)) (*.f64 (-.f64 A C) (-.f64 A C)))) (neg.f64 (*.f64 (+.f64 A C) (+.f64 A C)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 A C) (*.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (-.f64 A C)))) (neg.f64 (fma.f64 A A (*.f64 C (+.f64 A C))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (+.f64 A C)))) (neg.f64 (+.f64 A C))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 A A (*.f64 C (+.f64 A C))) (-.f64 A C)) (-.f64 A C))) (neg.f64 (fma.f64 A A (*.f64 C (+.f64 A C))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 A C) (+.f64 A C)) (-.f64 A C))) (neg.f64 (+.f64 A C))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) #s(literal 180 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))))) |
(/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)))))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) (PI.f64)) |
(/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) #s(literal -180 binary64)) (neg.f64 (PI.f64))) |
(/.f64 (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) |
(/.f64 #s(literal -180 binary64) (/.f64 (neg.f64 (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)))) |
(/.f64 (neg.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) #s(literal -180 binary64))) (PI.f64)) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (neg.f64 (cbrt.f64 (PI.f64)))) |
(/.f64 (neg.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64))))) (neg.f64 (sqrt.f64 (PI.f64)))) |
(pow.f64 (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (PI.f64)))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 180 binary64))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (PI.f64)) #s(literal 180 binary64)) |
(*.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) (/.f64 #s(literal 1 binary64) (PI.f64))) |
(*.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) #s(literal -180 binary64)) (/.f64 #s(literal -1 binary64) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (cbrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (cbrt.f64 (PI.f64))) (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) |
(*.f64 (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64))) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 #s(literal 180 binary64) (cbrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64)))) |
(*.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) |
(*.f64 #s(literal -180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (neg.f64 (PI.f64)))) |
(*.f64 (/.f64 #s(literal 180 binary64) (cbrt.f64 (PI.f64))) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) |
(*.f64 (/.f64 #s(literal 180 binary64) (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (/.f64 (neg.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) (cbrt.f64 (PI.f64)))) |
(*.f64 (/.f64 #s(literal 180 binary64) (neg.f64 (sqrt.f64 (PI.f64)))) (/.f64 (neg.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (neg.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 180 binary64) (neg.f64 (sqrt.f64 (PI.f64))))) |
(*.f64 (/.f64 (neg.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) #s(literal 1 binary64)) (/.f64 #s(literal 180 binary64) (neg.f64 (PI.f64)))) |
(*.f64 (/.f64 (neg.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 #s(literal 180 binary64) (neg.f64 (cbrt.f64 (PI.f64))))) |
Compiled 28 122 to 4 008 computations (85.7% saved)
26 alts after pruning (26 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 623 | 26 | 649 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 624 | 26 | 650 |
| Status | Accuracy | Program |
|---|---|---|
| 54.2% | (/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) | |
| 19.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (fma.f64 (-.f64 A C) (neg.f64 (-.f64 A C)) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) (*.f64 (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) (neg.f64 B)))) (PI.f64))) | |
| 16.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) (*.f64 (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) (PI.f64))) | |
| 54.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))))) (PI.f64))) | |
| 50.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (fma.f64 (*.f64 (-.f64 C A) (+.f64 A C)) (/.f64 #s(literal 1 binary64) (+.f64 A C)) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))))) (PI.f64))) | |
| ▶ | 79.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64))) |
| 23.0% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) (/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) A)))) (PI.f64))) | |
| 24.0% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C)))) (PI.f64))) | |
| 26.6% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64)))) (PI.f64))) | |
| 20.0% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/4 binary64)) (*.f64 B (*.f64 B (*.f64 A A)))) (*.f64 B (*.f64 C (*.f64 C C)))) #s(literal 0 binary64))))) (PI.f64))) | |
| 33.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64)))) (PI.f64))) | |
| 18.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 (*.f64 B #s(literal -1/2 binary64)) (/.f64 (fma.f64 B (*.f64 C #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 C (*.f64 (*.f64 B B) C)) (*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal -1/8 binary64))) (*.f64 B A))) A)) (neg.f64 A)))) (PI.f64))) | |
| 19.2% | (*.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 B #s(literal -1/2 binary64)) (/.f64 (-.f64 (*.f64 B (*.f64 C #s(literal 1/2 binary64))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/4 binary64)) (*.f64 C (*.f64 (*.f64 B B) C))) (neg.f64 C) (*.f64 #s(literal -1/2 binary64) (*.f64 C (*.f64 (*.f64 B B) (*.f64 B B))))) (*.f64 B A)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 B B) (*.f64 B B)) (*.f64 #s(literal -1/2 binary64) (*.f64 C (*.f64 (*.f64 B B) C)))) B)) A)) A)) (neg.f64 A)))) (PI.f64))) | |
| 44.1% | (*.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 (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (PI.f64))) | |
| ▶ | 41.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B)))) (PI.f64))) |
| 26.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64))) | |
| 36.6% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 C A)) B))) (PI.f64))) | |
| 32.2% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 B (/.f64 C A) B)) A))) (PI.f64))) | |
| 21.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal -2 binary64) A) B))) (PI.f64))) | |
| 52.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 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 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64))) |
| ▶ | 30.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 C (*.f64 B A))) (+.f64 (/.f64 C (*.f64 B A)) (/.f64 #s(literal -2 binary64) B)))))) (PI.f64))) |
| 22.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 2 binary64) (/.f64 C B)))) (PI.f64))) | |
| 20.5% | (*.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))) | |
| 12.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) | |
| ▶ | 22.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
Compiled 1 340 to 818 computations (39% 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))))) (*.f64 A (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 C (*.f64 B A))) (+.f64 (/.f64 C (*.f64 B A)) (/.f64 #s(literal -2 binary64) B)))))) (PI.f64)) | |
| cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 C (*.f64 B A))) (+.f64 (/.f64 C (*.f64 B A)) (/.f64 #s(literal -2 binary64) B)))))) (PI.f64))) | |
| cost-diff | 768 | (*.f64 A (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 C (*.f64 B A))) (+.f64 (/.f64 C (*.f64 B A)) (/.f64 #s(literal -2 binary64) B)))) | |
| cost-diff | 1024 | (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 C (*.f64 B A))) (+.f64 (/.f64 C (*.f64 B A)) (/.f64 #s(literal -2 binary64) B))) | |
| cost-diff | 0 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B))) | |
| cost-diff | 0 | (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B)))) | |
| cost-diff | 0 | (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B)))) (PI.f64)) | |
| cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B)))) (PI.f64))) | |
| cost-diff | 0 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C 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 binary64) (/.f64 (-.f64 C 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 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) | |
| cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64))) | |
| cost-diff | 0 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64)) | |
| cost-diff | 0 | (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) | |
| cost-diff | 0 | (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64)) | |
| cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) | |
| cost-diff | 0 | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64)) | |
| cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) | |
| cost-diff | 4928 | (hypot.f64 (-.f64 C A) B) |
| 9 364× | lower-fma.f32 |
| 9 360× | lower-fma.f64 |
| 3 002× | lower-*.f32 |
| 2 982× | lower-*.f64 |
| 1 724× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 763 |
| 0 | 101 | 763 |
| 1 | 171 | 723 |
| 2 | 319 | 705 |
| 3 | 719 | 625 |
| 4 | 1565 | 605 |
| 5 | 2951 | 605 |
| 6 | 6647 | 605 |
| 0 | 8171 | 565 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64)) |
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) |
(/.f64 #s(literal 1 binary64) B) |
#s(literal 1 binary64) |
B |
(-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)) |
(-.f64 C A) |
C |
A |
(hypot.f64 (-.f64 C A) B) |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 C A) B) |
(-.f64 C A) |
C |
A |
B |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B)))) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B)))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B))) |
(/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B)) |
(+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) |
A |
(sqrt.f64 (fma.f64 A A (*.f64 B B))) |
(fma.f64 A A (*.f64 B B)) |
(*.f64 B B) |
B |
(neg.f64 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 A (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 C (*.f64 B A))) (+.f64 (/.f64 C (*.f64 B A)) (/.f64 #s(literal -2 binary64) B)))))) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 C (*.f64 B A))) (+.f64 (/.f64 C (*.f64 B A)) (/.f64 #s(literal -2 binary64) B)))))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 C (*.f64 B A))) (+.f64 (/.f64 C (*.f64 B A)) (/.f64 #s(literal -2 binary64) B)))))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 C (*.f64 B A))) (+.f64 (/.f64 C (*.f64 B A)) (/.f64 #s(literal -2 binary64) B))))) |
(*.f64 A (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 C (*.f64 B A))) (+.f64 (/.f64 C (*.f64 B A)) (/.f64 #s(literal -2 binary64) B)))) |
A |
(+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 C (*.f64 B A))) (+.f64 (/.f64 C (*.f64 B A)) (/.f64 #s(literal -2 binary64) B))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 C (*.f64 B A))) |
#s(literal -1/2 binary64) |
(/.f64 B (*.f64 A A)) |
B |
(*.f64 A A) |
(/.f64 C (*.f64 B A)) |
C |
(*.f64 B A) |
(+.f64 (/.f64 C (*.f64 B A)) (/.f64 #s(literal -2 binary64) B)) |
(/.f64 #s(literal -2 binary64) B) |
#s(literal -2 binary64) |
(PI.f64) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B)) (PI.f64)) |
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B)) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) |
(/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B) |
(/.f64 #s(literal 1 binary64) B) |
#s(literal 1 binary64) |
B |
(-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)) |
(-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) |
(-.f64 C A) |
C |
A |
(hypot.f64 (-.f64 C A) B) |
(sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))) |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 C A) B) |
(-.f64 C A) |
C |
A |
B |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B)))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (neg.f64 (/.f64 (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))) B)))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B)))) (PI.f64)) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (neg.f64 (/.f64 (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))) B)))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B)))) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (neg.f64 (/.f64 (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))) B)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (neg.f64 (/.f64 (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))) B))) |
(/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B)) |
(neg.f64 (/.f64 (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))) B)) |
(+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) |
(+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))) |
A |
(sqrt.f64 (fma.f64 A A (*.f64 B B))) |
(sqrt.f64 (fma.f64 B B (*.f64 A A))) |
(fma.f64 A A (*.f64 B B)) |
(fma.f64 B B (*.f64 A A)) |
(*.f64 B B) |
B |
(neg.f64 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 A (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 C (*.f64 B A))) (+.f64 (/.f64 C (*.f64 B A)) (/.f64 #s(literal -2 binary64) B)))))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) A) (fma.f64 A (/.f64 #s(literal -2 binary64) B) (/.f64 (+.f64 C C) B))))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 C (*.f64 B A))) (+.f64 (/.f64 C (*.f64 B A)) (/.f64 #s(literal -2 binary64) B)))))) (PI.f64)) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) A) (fma.f64 A (/.f64 #s(literal -2 binary64) B) (/.f64 (+.f64 C C) B))))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 C (*.f64 B A))) (+.f64 (/.f64 C (*.f64 B A)) (/.f64 #s(literal -2 binary64) B)))))) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) A) (fma.f64 A (/.f64 #s(literal -2 binary64) B) (/.f64 (+.f64 C C) B))))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 C (*.f64 B A))) (+.f64 (/.f64 C (*.f64 B A)) (/.f64 #s(literal -2 binary64) B))))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) A) (fma.f64 A (/.f64 #s(literal -2 binary64) B) (/.f64 (+.f64 C C) B)))) |
(*.f64 A (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 C (*.f64 B A))) (+.f64 (/.f64 C (*.f64 B A)) (/.f64 #s(literal -2 binary64) B)))) |
(fma.f64 B (/.f64 #s(literal -1/2 binary64) A) (fma.f64 A (/.f64 #s(literal -2 binary64) B) (/.f64 (+.f64 C C) B))) |
A |
(+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 C (*.f64 B A))) (+.f64 (/.f64 C (*.f64 B A)) (/.f64 #s(literal -2 binary64) B))) |
(+.f64 (/.f64 (+.f64 C C) (*.f64 B A)) (fma.f64 B (/.f64 #s(literal -1/2 binary64) (*.f64 A A)) (/.f64 #s(literal -2 binary64) B))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 C (*.f64 B A))) |
(fma.f64 B (/.f64 #s(literal -1/2 binary64) (*.f64 A A)) (/.f64 C (*.f64 B A))) |
#s(literal -1/2 binary64) |
(/.f64 B (*.f64 A A)) |
B |
(*.f64 A A) |
(/.f64 C (*.f64 B A)) |
C |
(*.f64 B A) |
(+.f64 (/.f64 C (*.f64 B A)) (/.f64 #s(literal -2 binary64) B)) |
(/.f64 #s(literal -2 binary64) B) |
#s(literal -2 binary64) |
(PI.f64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 6.748762615779352 | (/.f64 C (*.f64 B A)) | |
| accuracy | 7.815185490777751 | (/.f64 B (*.f64 A A)) | |
| accuracy | 9.987176828159873 | (*.f64 A (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 C (*.f64 B A))) (+.f64 (/.f64 C (*.f64 B A)) (/.f64 #s(literal -2 binary64) B)))) | |
| accuracy | 44.312392455499605 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 C (*.f64 B A))) (+.f64 (/.f64 C (*.f64 B A)) (/.f64 #s(literal -2 binary64) B))))) | |
| accuracy | 4.420982077237663 | (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B)) | |
| accuracy | 5.485990646394946 | (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) | |
| accuracy | 21.37094001896715 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B))) | |
| accuracy | 30.68548711460675 | (sqrt.f64 (fma.f64 A A (*.f64 B B))) | |
| accuracy | 0.01953125 | (/.f64 (-.f64 C A) B) | |
| accuracy | 0.0546875 | (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) | |
| accuracy | 0.1590135429102932 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64))) | |
| accuracy | 42.88945688905574 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) | |
| 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 | 0.1590135429102932 | (*.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 | 50.9889726604495 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64)) | |
| accuracy | 0.0546875 | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64)) | |
| accuracy | 0.1590135429102932 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64))) | |
| accuracy | 4.474918713712049 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) | |
| accuracy | 8.338904558664293 | (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)) |
| 97.0ms | 168× | 0 | valid |
| 45.0ms | 47× | 2 | valid |
| 29.0ms | 12× | 3 | valid |
| 19.0ms | 29× | 1 | valid |
Compiled 622 to 47 computations (92.4% saved)
ival-div: 20.0ms (18.1% of total)ival-mult: 17.0ms (15.4% of total)ival-sub: 16.0ms (14.5% of total)adjust: 15.0ms (13.6% of total)ival-hypot: 15.0ms (13.6% of total)ival-add: 10.0ms (9.1% of total)ival-pow2: 5.0ms (4.5% of total)ival-atan: 5.0ms (4.5% of total)ival-sqrt: 3.0ms (2.7% of total)ival-pi: 1.0ms (0.9% of total)exact: 1.0ms (0.9% of total)ival-neg: 1.0ms (0.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) (patch (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64)) (patch (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64)) (patch (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64)) #<representation binary64>) () ()) |
#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64)) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) (patch (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) #<representation binary64>) () ()) |
#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) 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))))) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B)))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B)))) (PI.f64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B)))) (PI.f64)) (patch (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B)))) (PI.f64)) #<representation binary64>) () ()) |
#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B)))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B))) #<representation binary64>) () ()) |
#s(alt (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 C (*.f64 B A))) (+.f64 (/.f64 C (*.f64 B A)) (/.f64 #s(literal -2 binary64) B))) (patch (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 C (*.f64 B A))) (+.f64 (/.f64 C (*.f64 B A)) (/.f64 #s(literal -2 binary64) B))) #<representation binary64>) () ()) |
#s(alt (*.f64 A (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 C (*.f64 B A))) (+.f64 (/.f64 C (*.f64 B A)) (/.f64 #s(literal -2 binary64) B)))) (patch (*.f64 A (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 C (*.f64 B A))) (+.f64 (/.f64 C (*.f64 B A)) (/.f64 #s(literal -2 binary64) 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))))) (*.f64 A (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 C (*.f64 B A))) (+.f64 (/.f64 C (*.f64 B A)) (/.f64 #s(literal -2 binary64) B)))))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 C (*.f64 B A))) (+.f64 (/.f64 C (*.f64 B A)) (/.f64 #s(literal -2 binary64) B)))))) (PI.f64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 C (*.f64 B A))) (+.f64 (/.f64 C (*.f64 B A)) (/.f64 #s(literal -2 binary64) B)))))) (PI.f64)) (patch (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 C (*.f64 B A))) (+.f64 (/.f64 C (*.f64 B A)) (/.f64 #s(literal -2 binary64) B)))))) (PI.f64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)) (patch (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 C A) B) (patch (/.f64 (-.f64 C A) B) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 A A (*.f64 B B))) (patch (sqrt.f64 (fma.f64 A A (*.f64 B B))) #<representation binary64>) () ()) |
#s(alt (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (patch (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B)) (patch (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 C (*.f64 B A))) (+.f64 (/.f64 C (*.f64 B A)) (/.f64 #s(literal -2 binary64) B))))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 C (*.f64 B A))) (+.f64 (/.f64 C (*.f64 B A)) (/.f64 #s(literal -2 binary64) B))))) #<representation binary64>) () ()) |
#s(alt (/.f64 B (*.f64 A A)) (patch (/.f64 B (*.f64 A A)) #<representation binary64>) () ()) |
#s(alt (/.f64 C (*.f64 B A)) (patch (/.f64 C (*.f64 B A)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (sqrt (+ (pow A 2) (pow B 2))) (taylor 0 C) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt (+ (pow A 2) (pow B 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) (taylor 0 C) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt (+ (pow A 2) (pow B 2))) (* C (+ (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (* 1/2 (* (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) (taylor 0 C) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt (+ (pow A 2) (pow B 2))) (* C (+ (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (* C (+ (* 1/2 (* (sqrt (/ 1 (+ (pow A 2) (pow B 2)))) (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (* 1/2 (* (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3)))))))))) (taylor 0 C) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt C (taylor inf C) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (* C (+ 1 (* -1 (/ A C)))) (taylor inf C) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (* C (+ 1 (+ (* -1 (/ A C)) (* 1/2 (/ (pow B 2) (pow C 2)))))) (taylor inf C) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (* C (+ 1 (+ (* -1 (/ A C)) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 3))) (* 1/2 (/ (pow B 2) (pow C 2))))))) (taylor inf C) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (* -1 C) (taylor -inf C) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* C (+ 1 (* -1 (/ A C))))) (taylor -inf C) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* C (+ 1 (* -1 (/ (+ A (* -1/2 (/ (pow B 2) C))) C))))) (taylor -inf C) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* C (+ 1 (* -1 (/ (+ A (* -1 (/ (+ (* 1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C))) C))))) (taylor -inf C) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (+ (pow B 2) (pow C 2))) (taylor 0 A) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) (taylor 0 A) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt (+ (pow B 2) (pow C 2))) (* A (+ (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (* 1/2 (* (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))))) (taylor 0 A) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt (+ (pow B 2) (pow C 2))) (* A (+ (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (* A (+ (* 1/2 (* (sqrt (/ 1 (+ (pow B 2) (pow C 2)))) (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (* 1/2 (* (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3)))))))))) (taylor 0 A) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt A (taylor inf A) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (* A (+ 1 (* -1 (/ C A)))) (taylor inf A) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (* A (+ 1 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2)))))) (taylor inf A) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (* A (+ 1 (+ (* -1 (/ C A)) (+ (* 1/2 (/ (* (pow B 2) C) (pow A 3))) (* 1/2 (/ (pow B 2) (pow A 2))))))) (taylor inf A) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (* -1 A) (taylor -inf A) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* A (+ 1 (* -1 (/ C A))))) (taylor -inf A) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* A (+ 1 (* -1 (/ (+ C (* -1/2 (/ (pow B 2) A))) A))))) (taylor -inf A) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* A (+ 1 (* -1 (/ (+ C (* -1 (/ (+ (* 1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A))) A))))) (taylor -inf A) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (- C A) (taylor 0 B) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (- (+ C (* 1/2 (/ (pow B 2) (- C A)))) A) (taylor 0 B) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (- (+ C (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A)))))) A) (taylor 0 B) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (- (+ C (* (pow B 2) (+ (* (pow B 2) (- (* 1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A)))))) A) (taylor 0 B) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt B (taylor inf B) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (* B (+ 1 (* 1/2 (/ (pow (- C A) 2) (pow B 2))))) (taylor inf B) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))) (taylor inf B) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (+ (* 1/16 (/ (pow (- C A) 6) (pow B 6))) (* 1/2 (/ (pow (- C A) 2) (pow B 2))))))) (taylor inf B) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (* -1 B) (taylor -inf B) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* B (+ 1 (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))) (taylor -inf B) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (* 1/2 (/ (pow (- C A) 2) (pow B 2))))))) (taylor -inf B) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (+ (* 1/16 (/ (pow (- C A) 6) (pow B 6))) (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))))) (taylor -inf B) (#s(alt (hypot.f64 (-.f64 C A) B) (patch (hypot.f64 (-.f64 C A) B) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ B (- C A))) (taylor 0 B) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) (patch (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) #<representation binary64>) () ())) ()) |
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#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (taylor 0 B) (#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B)))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B)))) #<representation binary64>) () ())) ()) |
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#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))))) (*.f64 A (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 C (*.f64 B A))) (+.f64 (/.f64 C (*.f64 B A)) (/.f64 #s(literal -2 binary64) B))))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 C (*.f64 B A))) (+.f64 (/.f64 C (*.f64 B A)) (/.f64 #s(literal -2 binary64) B))))) #<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))))) (*.f64 A (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 C (*.f64 B A))) (+.f64 (/.f64 C (*.f64 B A)) (/.f64 #s(literal -2 binary64) B))))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 C (*.f64 B A))) (+.f64 (/.f64 C (*.f64 B A)) (/.f64 #s(literal -2 binary64) B))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) (taylor -inf A) (#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 C (*.f64 B A))) (+.f64 (/.f64 C (*.f64 B A)) (/.f64 #s(literal -2 binary64) B))))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 C (*.f64 B A))) (+.f64 (/.f64 C (*.f64 B A)) (/.f64 #s(literal -2 binary64) B))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) (taylor -inf A) (#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 C (*.f64 B A))) (+.f64 (/.f64 C (*.f64 B A)) (/.f64 #s(literal -2 binary64) B))))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 C (*.f64 B A))) (+.f64 (/.f64 C (*.f64 B A)) (/.f64 #s(literal -2 binary64) B))))) #<representation binary64>) () ())) ()) |
#s(alt (/ B (pow A 2)) (taylor 0 B) (#s(alt (/.f64 B (*.f64 A A)) (patch (/.f64 B (*.f64 A A)) #<representation binary64>) () ())) ()) |
#s(alt (/ B (pow A 2)) (taylor 0 B) (#s(alt (/.f64 B (*.f64 A A)) (patch (/.f64 B (*.f64 A A)) #<representation binary64>) () ())) ()) |
#s(alt (/ B (pow A 2)) (taylor 0 B) (#s(alt (/.f64 B (*.f64 A A)) (patch (/.f64 B (*.f64 A A)) #<representation binary64>) () ())) ()) |
#s(alt (/ B (pow A 2)) (taylor 0 B) (#s(alt (/.f64 B (*.f64 A A)) (patch (/.f64 B (*.f64 A A)) #<representation binary64>) () ())) ()) |
#s(alt (/ B (pow A 2)) (taylor inf B) (#s(alt (/.f64 B (*.f64 A A)) (patch (/.f64 B (*.f64 A A)) #<representation binary64>) () ())) ()) |
#s(alt (/ B (pow A 2)) (taylor inf B) (#s(alt (/.f64 B (*.f64 A A)) (patch (/.f64 B (*.f64 A A)) #<representation binary64>) () ())) ()) |
#s(alt (/ B (pow A 2)) (taylor inf B) (#s(alt (/.f64 B (*.f64 A A)) (patch (/.f64 B (*.f64 A A)) #<representation binary64>) () ())) ()) |
#s(alt (/ B (pow A 2)) (taylor inf B) (#s(alt (/.f64 B (*.f64 A A)) (patch (/.f64 B (*.f64 A A)) #<representation binary64>) () ())) ()) |
#s(alt (/ B (pow A 2)) (taylor -inf B) (#s(alt (/.f64 B (*.f64 A A)) (patch (/.f64 B (*.f64 A A)) #<representation binary64>) () ())) ()) |
#s(alt (/ B (pow A 2)) (taylor -inf B) (#s(alt (/.f64 B (*.f64 A A)) (patch (/.f64 B (*.f64 A A)) #<representation binary64>) () ())) ()) |
#s(alt (/ B (pow A 2)) (taylor -inf B) (#s(alt (/.f64 B (*.f64 A A)) (patch (/.f64 B (*.f64 A A)) #<representation binary64>) () ())) ()) |
#s(alt (/ B (pow A 2)) (taylor -inf B) (#s(alt (/.f64 B (*.f64 A A)) (patch (/.f64 B (*.f64 A A)) #<representation binary64>) () ())) ()) |
#s(alt (/ B (pow A 2)) (taylor 0 A) (#s(alt (/.f64 B (*.f64 A A)) (patch (/.f64 B (*.f64 A A)) #<representation binary64>) () ())) ()) |
#s(alt (/ B (pow A 2)) (taylor 0 A) (#s(alt (/.f64 B (*.f64 A A)) (patch (/.f64 B (*.f64 A A)) #<representation binary64>) () ())) ()) |
#s(alt (/ B (pow A 2)) (taylor 0 A) (#s(alt (/.f64 B (*.f64 A A)) (patch (/.f64 B (*.f64 A A)) #<representation binary64>) () ())) ()) |
#s(alt (/ B (pow A 2)) (taylor 0 A) (#s(alt (/.f64 B (*.f64 A A)) (patch (/.f64 B (*.f64 A A)) #<representation binary64>) () ())) ()) |
#s(alt (/ B (pow A 2)) (taylor inf A) (#s(alt (/.f64 B (*.f64 A A)) (patch (/.f64 B (*.f64 A A)) #<representation binary64>) () ())) ()) |
#s(alt (/ B (pow A 2)) (taylor inf A) (#s(alt (/.f64 B (*.f64 A A)) (patch (/.f64 B (*.f64 A A)) #<representation binary64>) () ())) ()) |
#s(alt (/ B (pow A 2)) (taylor inf A) (#s(alt (/.f64 B (*.f64 A A)) (patch (/.f64 B (*.f64 A A)) #<representation binary64>) () ())) ()) |
#s(alt (/ B (pow A 2)) (taylor inf A) (#s(alt (/.f64 B (*.f64 A A)) (patch (/.f64 B (*.f64 A A)) #<representation binary64>) () ())) ()) |
#s(alt (/ B (pow A 2)) (taylor -inf A) (#s(alt (/.f64 B (*.f64 A A)) (patch (/.f64 B (*.f64 A A)) #<representation binary64>) () ())) ()) |
#s(alt (/ B (pow A 2)) (taylor -inf A) (#s(alt (/.f64 B (*.f64 A A)) (patch (/.f64 B (*.f64 A A)) #<representation binary64>) () ())) ()) |
#s(alt (/ B (pow A 2)) (taylor -inf A) (#s(alt (/.f64 B (*.f64 A A)) (patch (/.f64 B (*.f64 A A)) #<representation binary64>) () ())) ()) |
#s(alt (/ B (pow A 2)) (taylor -inf A) (#s(alt (/.f64 B (*.f64 A A)) (patch (/.f64 B (*.f64 A A)) #<representation binary64>) () ())) ()) |
#s(alt (/ C (* A B)) (taylor 0 C) (#s(alt (/.f64 C (*.f64 B A)) (patch (/.f64 C (*.f64 B A)) #<representation binary64>) () ())) ()) |
#s(alt (/ C (* A B)) (taylor 0 C) (#s(alt (/.f64 C (*.f64 B A)) (patch (/.f64 C (*.f64 B A)) #<representation binary64>) () ())) ()) |
#s(alt (/ C (* A B)) (taylor 0 C) (#s(alt (/.f64 C (*.f64 B A)) (patch (/.f64 C (*.f64 B A)) #<representation binary64>) () ())) ()) |
#s(alt (/ C (* A B)) (taylor 0 C) (#s(alt (/.f64 C (*.f64 B A)) (patch (/.f64 C (*.f64 B A)) #<representation binary64>) () ())) ()) |
#s(alt (/ C (* A B)) (taylor inf C) (#s(alt (/.f64 C (*.f64 B A)) (patch (/.f64 C (*.f64 B A)) #<representation binary64>) () ())) ()) |
#s(alt (/ C (* A B)) (taylor inf C) (#s(alt (/.f64 C (*.f64 B A)) (patch (/.f64 C (*.f64 B A)) #<representation binary64>) () ())) ()) |
#s(alt (/ C (* A B)) (taylor inf C) (#s(alt (/.f64 C (*.f64 B A)) (patch (/.f64 C (*.f64 B A)) #<representation binary64>) () ())) ()) |
#s(alt (/ C (* A B)) (taylor inf C) (#s(alt (/.f64 C (*.f64 B A)) (patch (/.f64 C (*.f64 B A)) #<representation binary64>) () ())) ()) |
#s(alt (/ C (* A B)) (taylor -inf C) (#s(alt (/.f64 C (*.f64 B A)) (patch (/.f64 C (*.f64 B A)) #<representation binary64>) () ())) ()) |
#s(alt (/ C (* A B)) (taylor -inf C) (#s(alt (/.f64 C (*.f64 B A)) (patch (/.f64 C (*.f64 B A)) #<representation binary64>) () ())) ()) |
#s(alt (/ C (* A B)) (taylor -inf C) (#s(alt (/.f64 C (*.f64 B A)) (patch (/.f64 C (*.f64 B A)) #<representation binary64>) () ())) ()) |
#s(alt (/ C (* A B)) (taylor -inf C) (#s(alt (/.f64 C (*.f64 B A)) (patch (/.f64 C (*.f64 B A)) #<representation binary64>) () ())) ()) |
#s(alt (/ C (* A B)) (taylor 0 B) (#s(alt (/.f64 C (*.f64 B A)) (patch (/.f64 C (*.f64 B A)) #<representation binary64>) () ())) ()) |
#s(alt (/ C (* A B)) (taylor 0 B) (#s(alt (/.f64 C (*.f64 B A)) (patch (/.f64 C (*.f64 B A)) #<representation binary64>) () ())) ()) |
#s(alt (/ C (* A B)) (taylor 0 B) (#s(alt (/.f64 C (*.f64 B A)) (patch (/.f64 C (*.f64 B A)) #<representation binary64>) () ())) ()) |
#s(alt (/ C (* A B)) (taylor 0 B) (#s(alt (/.f64 C (*.f64 B A)) (patch (/.f64 C (*.f64 B A)) #<representation binary64>) () ())) ()) |
#s(alt (/ C (* A B)) (taylor inf B) (#s(alt (/.f64 C (*.f64 B A)) (patch (/.f64 C (*.f64 B A)) #<representation binary64>) () ())) ()) |
#s(alt (/ C (* A B)) (taylor inf B) (#s(alt (/.f64 C (*.f64 B A)) (patch (/.f64 C (*.f64 B A)) #<representation binary64>) () ())) ()) |
#s(alt (/ C (* A B)) (taylor inf B) (#s(alt (/.f64 C (*.f64 B A)) (patch (/.f64 C (*.f64 B A)) #<representation binary64>) () ())) ()) |
#s(alt (/ C (* A B)) (taylor inf B) (#s(alt (/.f64 C (*.f64 B A)) (patch (/.f64 C (*.f64 B A)) #<representation binary64>) () ())) ()) |
#s(alt (/ C (* A B)) (taylor -inf B) (#s(alt (/.f64 C (*.f64 B A)) (patch (/.f64 C (*.f64 B A)) #<representation binary64>) () ())) ()) |
#s(alt (/ C (* A B)) (taylor -inf B) (#s(alt (/.f64 C (*.f64 B A)) (patch (/.f64 C (*.f64 B A)) #<representation binary64>) () ())) ()) |
#s(alt (/ C (* A B)) (taylor -inf B) (#s(alt (/.f64 C (*.f64 B A)) (patch (/.f64 C (*.f64 B A)) #<representation binary64>) () ())) ()) |
#s(alt (/ C (* A B)) (taylor -inf B) (#s(alt (/.f64 C (*.f64 B A)) (patch (/.f64 C (*.f64 B A)) #<representation binary64>) () ())) ()) |
#s(alt (/ C (* A B)) (taylor 0 A) (#s(alt (/.f64 C (*.f64 B A)) (patch (/.f64 C (*.f64 B A)) #<representation binary64>) () ())) ()) |
#s(alt (/ C (* A B)) (taylor 0 A) (#s(alt (/.f64 C (*.f64 B A)) (patch (/.f64 C (*.f64 B A)) #<representation binary64>) () ())) ()) |
#s(alt (/ C (* A B)) (taylor 0 A) (#s(alt (/.f64 C (*.f64 B A)) (patch (/.f64 C (*.f64 B A)) #<representation binary64>) () ())) ()) |
#s(alt (/ C (* A B)) (taylor 0 A) (#s(alt (/.f64 C (*.f64 B A)) (patch (/.f64 C (*.f64 B A)) #<representation binary64>) () ())) ()) |
#s(alt (/ C (* A B)) (taylor inf A) (#s(alt (/.f64 C (*.f64 B A)) (patch (/.f64 C (*.f64 B A)) #<representation binary64>) () ())) ()) |
#s(alt (/ C (* A B)) (taylor inf A) (#s(alt (/.f64 C (*.f64 B A)) (patch (/.f64 C (*.f64 B A)) #<representation binary64>) () ())) ()) |
#s(alt (/ C (* A B)) (taylor inf A) (#s(alt (/.f64 C (*.f64 B A)) (patch (/.f64 C (*.f64 B A)) #<representation binary64>) () ())) ()) |
#s(alt (/ C (* A B)) (taylor inf A) (#s(alt (/.f64 C (*.f64 B A)) (patch (/.f64 C (*.f64 B A)) #<representation binary64>) () ())) ()) |
#s(alt (/ C (* A B)) (taylor -inf A) (#s(alt (/.f64 C (*.f64 B A)) (patch (/.f64 C (*.f64 B A)) #<representation binary64>) () ())) ()) |
#s(alt (/ C (* A B)) (taylor -inf A) (#s(alt (/.f64 C (*.f64 B A)) (patch (/.f64 C (*.f64 B A)) #<representation binary64>) () ())) ()) |
#s(alt (/ C (* A B)) (taylor -inf A) (#s(alt (/.f64 C (*.f64 B A)) (patch (/.f64 C (*.f64 B A)) #<representation binary64>) () ())) ()) |
#s(alt (/ C (* A B)) (taylor -inf A) (#s(alt (/.f64 C (*.f64 B A)) (patch (/.f64 C (*.f64 B A)) #<representation binary64>) () ())) ()) |
240 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | C | @ | -inf | (/ (- C A) B) |
| 3.0ms | B | @ | 0 | (/ (- C A) B) |
| 3.0ms | C | @ | 0 | (sqrt (+ (* (- C A) (- C A)) (* B B))) |
| 2.0ms | A | @ | -inf | (/ (+ A (sqrt (+ (* A A) (* B B)))) (neg B)) |
| 1.0ms | B | @ | 0 | (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) |
| 1× | egg-herbie |
| 9 544× | lower-fma.f64 |
| 9 544× | lower-fma.f32 |
| 7 048× | lower-*.f64 |
| 7 048× | lower-*.f32 |
| 4 670× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 969 | 18897 |
| 1 | 2945 | 18312 |
| 0 | 8444 | 15163 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sqrt (+ (pow A 2) (pow B 2))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* C (+ (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (* 1/2 (* (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* C (+ (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (* C (+ (* 1/2 (* (sqrt (/ 1 (+ (pow A 2) (pow B 2)))) (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (* 1/2 (* (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3)))))))))) |
C |
(* C (+ 1 (* -1 (/ A C)))) |
(* C (+ 1 (+ (* -1 (/ A C)) (* 1/2 (/ (pow B 2) (pow C 2)))))) |
(* C (+ 1 (+ (* -1 (/ A C)) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 3))) (* 1/2 (/ (pow B 2) (pow C 2))))))) |
(* -1 C) |
(* -1 (* C (+ 1 (* -1 (/ A C))))) |
(* -1 (* C (+ 1 (* -1 (/ (+ A (* -1/2 (/ (pow B 2) C))) C))))) |
(* -1 (* C (+ 1 (* -1 (/ (+ A (* -1 (/ (+ (* 1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C))) C))))) |
(sqrt (+ (pow B 2) (pow C 2))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* A (+ (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (* 1/2 (* (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* A (+ (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (* A (+ (* 1/2 (* (sqrt (/ 1 (+ (pow B 2) (pow C 2)))) (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (* 1/2 (* (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3)))))))))) |
A |
(* A (+ 1 (* -1 (/ C A)))) |
(* A (+ 1 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2)))))) |
(* A (+ 1 (+ (* -1 (/ C A)) (+ (* 1/2 (/ (* (pow B 2) C) (pow A 3))) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(* -1 A) |
(* -1 (* A (+ 1 (* -1 (/ C A))))) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1/2 (/ (pow B 2) A))) A))))) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1 (/ (+ (* 1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A))) A))))) |
(- C A) |
(- (+ C (* 1/2 (/ (pow B 2) (- C A)))) A) |
(- (+ C (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A)))))) A) |
(- (+ C (* (pow B 2) (+ (* (pow B 2) (- (* 1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A)))))) A) |
B |
(* B (+ 1 (* 1/2 (/ (pow (- C A) 2) (pow B 2))))) |
(* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))) |
(* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (+ (* 1/16 (/ (pow (- C A) 6) (pow B 6))) (* 1/2 (/ (pow (- C A) 2) (pow B 2))))))) |
(* -1 B) |
(* -1 (* B (+ 1 (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (* 1/2 (/ (pow (- C A) 2) (pow B 2))))))) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (+ (* 1/16 (/ (pow (- C A) 6) (pow B 6))) (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))))) |
(* -1/2 (/ B (- C A))) |
(* B (- (* 1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A))))) |
(* B (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(* B (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow (- C A) 7))) (* 1/16 (/ 1 (pow (- C A) 5))))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
-1 |
(- (/ C B) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- C A) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
1 |
(- (+ 1 (/ C B)) (/ A B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- C A) 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- C A) 4) (pow B 2))) (* 1/2 (pow (- C A) 2))) B))) B))) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(* -1 (/ (+ A (* -1 A)) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
(* 2 (/ C B)) |
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(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(/ (- (* 2 C) (* 2 A)) B) |
(/ (- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
-1 |
(- (/ C B) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
1 |
(- (+ 1 (/ C B)) (/ A B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- A C) 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) B))) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(* -1 (/ (+ A (* -1 A)) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
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(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(/ (- (* 2 C) (* 2 A)) B) |
(/ (- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
-1 |
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(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
1 |
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(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) B))) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(* -1 (/ (+ A (* -1 A)) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B) |
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(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* -1/2 (* (/ (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* A (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) B) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(* -2 (/ A B)) |
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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 (/ (+ (* -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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1 |
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(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(* -1 (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(- (* C (- 1 (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(- (* C (- (+ 1 (* -1/2 (* (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(- (* C (- (+ 1 (* C (- (* -1/2 (* (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow A 2) (pow B 2)))) (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(* -1 (+ A (* -1 A))) |
(- (* -1/2 (/ (pow B 2) C)) (+ A (* -1 A))) |
(- (* -1/2 (/ (* A (pow B 2)) (pow C 2))) (+ A (+ (* -1 A) (* 1/2 (/ (pow B 2) C))))) |
(- (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (pow C 3))) (+ A (+ (* -1 A) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 2))) (* 1/2 (/ (pow B 2) C)))))) |
(* 2 C) |
(* -1 (* C (- (* 2 (/ A C)) 2))) |
(* -1 (* C (- (* -1 (/ (- (* 1/2 (/ (pow B 2) C)) (* 2 A)) C)) 2))) |
(* -1 (* C (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C)) (* 2 A)) C)) 2))) |
(- C (sqrt (+ (pow B 2) (pow C 2)))) |
(- (+ C (* -1 (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(- (+ C (* A (- (* -1/2 (* (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(- (+ C (* A (- (* A (- (* -1/2 (* (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow B 2) (pow C 2)))) (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(* -2 A) |
(* A (- (/ C A) (+ 2 (* -1 (/ C A))))) |
(* A (- (+ (* -1/2 (/ (pow B 2) (pow A 2))) (/ C A)) (+ 2 (* -1 (/ C A))))) |
(* A (- (+ (* -1/2 (/ (* (pow B 2) C) (pow A 3))) (/ C A)) (+ 2 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(* 1/2 (/ (pow B 2) A)) |
(* -1 (/ (- (* -1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A)) |
(* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) A)) (* -1/2 (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(* -1/2 (/ (pow B 2) (- C A))) |
(* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A))))) |
(* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(* (pow B 2) (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow (- C A) 7))) (* 1/16 (/ 1 (pow (- C A) 5))))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(* -1 B) |
(* B (- (/ C B) (+ 1 (/ A B)))) |
(* B (- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B)))) |
(* B (- (+ (* 1/8 (/ (pow (- C A) 4) (pow B 4))) (/ C B)) (+ 1 (+ (* 1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B))))) |
B |
(* -1 (* B (- (* -1 (/ (- C A) B)) 1))) |
(* -1 (* B (- (* -1 (/ (- (+ C (* 1/2 (/ (pow (- C A) 2) B))) A) B)) 1))) |
(* -1 (* B (- (* -1 (/ (- (+ C (* -1 (/ (- (* 1/8 (/ (pow (- C A) 4) (pow B 2))) (* 1/2 (pow (- C A) 2))) B))) A) B)) 1))) |
(* -1 (/ A B)) |
(+ (* -1 (/ A B)) (/ C B)) |
(+ (* -1 (/ A B)) (/ C B)) |
(+ (* -1 (/ A B)) (/ C B)) |
(/ C B) |
(* C (+ (* -1 (/ A (* B C))) (/ 1 B))) |
(* C (+ (* -1 (/ A (* B C))) (/ 1 B))) |
(* C (+ (* -1 (/ A (* B C))) (/ 1 B))) |
(/ C B) |
(* -1 (* C (- (/ A (* B C)) (/ 1 B)))) |
(* -1 (* C (- (/ A (* B C)) (/ 1 B)))) |
(* -1 (* C (- (/ A (* B C)) (/ 1 B)))) |
(/ C B) |
(+ (* -1 (/ A B)) (/ C B)) |
(+ (* -1 (/ A B)) (/ C B)) |
(+ (* -1 (/ A B)) (/ C B)) |
(* -1 (/ A B)) |
(* A (- (/ C (* A B)) (/ 1 B))) |
(* A (- (/ C (* A B)) (/ 1 B))) |
(* A (- (/ C (* A B)) (/ 1 B))) |
(* -1 (/ A B)) |
(* -1 (* A (+ (* -1 (/ C (* A B))) (/ 1 B)))) |
(* -1 (* A (+ (* -1 (/ C (* A B))) (/ 1 B)))) |
(* -1 (* A (+ (* -1 (/ C (* A B))) (/ 1 B)))) |
(/ (- C A) B) |
(/ (- C A) B) |
(/ (- C A) B) |
(/ (- C A) B) |
(/ (- C A) B) |
(/ (- C A) B) |
(/ (- C A) B) |
(/ (- C A) B) |
(/ (- C A) B) |
(/ (- C A) B) |
(/ (- C A) B) |
(/ (- C A) B) |
B |
(+ B (* 1/2 (/ (pow A 2) B))) |
(+ B (* (pow A 2) (+ (* -1/8 (/ (pow A 2) (pow B 3))) (* 1/2 (/ 1 B))))) |
(+ B (* (pow A 2) (+ (* (pow A 2) (- (* 1/16 (/ (pow A 2) (pow B 5))) (* 1/8 (/ 1 (pow B 3))))) (* 1/2 (/ 1 B))))) |
A |
(* A (+ 1 (* 1/2 (/ (pow B 2) (pow A 2))))) |
(* A (+ 1 (+ (* -1/8 (/ (pow B 4) (pow A 4))) (* 1/2 (/ (pow B 2) (pow A 2)))))) |
(* A (+ 1 (+ (* -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 A) |
(* -1 (* A (+ 1 (* 1/2 (/ (pow B 2) (pow A 2)))))) |
(* -1 (* A (+ 1 (+ (* -1/8 (/ (pow B 4) (pow A 4))) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(* -1 (* A (+ 1 (+ (* -1/8 (/ (pow B 4) (pow A 4))) (+ (* 1/16 (/ (pow B 6) (pow A 6))) (* 1/2 (/ (pow B 2) (pow A 2)))))))) |
A |
(+ A (* 1/2 (/ (pow B 2) A))) |
(+ A (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow A 3))) (* 1/2 (/ 1 A))))) |
(+ 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))))) |
B |
(* B (+ 1 (* 1/2 (/ (pow A 2) (pow B 2))))) |
(* B (+ 1 (+ (* -1/8 (/ (pow A 4) (pow B 4))) (* 1/2 (/ (pow A 2) (pow B 2)))))) |
(* B (+ 1 (+ (* -1/8 (/ (pow A 4) (pow B 4))) (+ (* 1/16 (/ (pow A 6) (pow B 6))) (* 1/2 (/ (pow A 2) (pow B 2))))))) |
(* -1 B) |
(* -1 (* B (+ 1 (* 1/2 (/ (pow A 2) (pow B 2)))))) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow A 4) (pow B 4))) (* 1/2 (/ (pow A 2) (pow B 2))))))) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow A 4) (pow B 4))) (+ (* 1/16 (/ (pow A 6) (pow B 6))) (* 1/2 (/ (pow A 2) (pow B 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))))))) |
(* 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 (/ (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)) |
(* 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))))) |
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))))) |
(* -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))))) |
-1 |
(- (* -1 (/ A B)) 1) |
(- (* A (- (* -1/2 (/ A (pow B 2))) (/ 1 B))) 1) |
(- (* A (- (* A (- (* 1/8 (/ (pow A 2) (pow B 4))) (* 1/2 (/ 1 (pow B 2))))) (/ 1 B))) 1) |
(* -2 (/ A B)) |
(* A (- (* -1/2 (/ B (pow A 2))) (* 2 (/ 1 B)))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (* 1/8 (/ (pow B 3) (pow A 4)))) (* 2 (/ 1 B)))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/16 (/ (pow B 5) (pow A 6))) (* 1/8 (/ (pow B 3) (pow A 4))))) (* 2 (/ 1 B)))) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* 1/8 (/ (pow B 3) (pow A 2)))) A)) |
(* -1 (/ (+ (* -1/2 B) (+ (* -1/16 (/ (pow B 5) (pow A 4))) (* 1/8 (/ (pow B 3) (pow A 2))))) A)) |
(* -1 (/ (+ (* -1/2 B) (+ (* -1/16 (/ (pow B 5) (pow A 4))) (+ (* 1/8 (/ (pow B 3) (pow A 2))) (* 1/2 (/ (+ (* 1/64 (pow B 8)) (* 1/16 (pow B 8))) (* (pow A 6) B)))))) A)) |
(* -2 (/ A B)) |
(/ (+ (* -2 A) (* -1/2 (/ (pow B 2) A))) B) |
(/ (+ (* -2 A) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow A 3))) (* 1/2 (/ 1 A))))) B) |
(/ (+ (* -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))))) B) |
-1 |
(- (* -1 (/ A B)) 1) |
(- (+ (* -1 (/ A B)) (* -1/2 (/ (pow A 2) (pow B 2)))) 1) |
(- (+ (* -1 (/ A B)) (+ (* -1/2 (/ (pow A 2) (pow B 2))) (* 1/8 (/ (pow A 4) (pow B 4))))) 1) |
1 |
(+ 1 (* -1 (/ A B))) |
(+ 1 (* -1 (/ (+ A (* -1/2 (/ (pow A 2) B))) B))) |
(+ 1 (* -1 (/ (+ A (* -1 (/ (+ (* -1/8 (/ (pow A 4) (pow B 2))) (* 1/2 (pow A 2))) B))) B))) |
(/ (- (* 2 C) (* 2 A)) B) |
(/ (- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
-1 |
(- (/ C B) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
1 |
(- (+ 1 (/ C B)) (/ A B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- A C) 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) B))) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(* -1 (/ (+ A (* -1 A)) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B) |
(- (+ (* -1 (/ (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* -1/2 (* (/ (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* A (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) B) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(* -2 (/ A B)) |
(* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(/ B (pow A 2)) |
(/ B (pow A 2)) |
(/ B (pow A 2)) |
(/ B (pow A 2)) |
(/ B (pow A 2)) |
(/ B (pow A 2)) |
(/ B (pow A 2)) |
(/ B (pow A 2)) |
(/ B (pow A 2)) |
(/ B (pow A 2)) |
(/ B (pow A 2)) |
(/ B (pow A 2)) |
(/ B (pow A 2)) |
(/ B (pow A 2)) |
(/ B (pow A 2)) |
(/ B (pow A 2)) |
(/ B (pow A 2)) |
(/ B (pow A 2)) |
(/ B (pow A 2)) |
(/ B (pow A 2)) |
(/ B (pow A 2)) |
(/ B (pow A 2)) |
(/ B (pow A 2)) |
(/ B (pow A 2)) |
(/ C (* A B)) |
(/ C (* A B)) |
(/ C (* A B)) |
(/ C (* A B)) |
(/ C (* A B)) |
(/ C (* A B)) |
(/ C (* A B)) |
(/ C (* A B)) |
(/ C (* A B)) |
(/ C (* A B)) |
(/ C (* A B)) |
(/ C (* A B)) |
(/ C (* A B)) |
(/ C (* A B)) |
(/ C (* A B)) |
(/ C (* A B)) |
(/ C (* A B)) |
(/ C (* A B)) |
(/ C (* A B)) |
(/ C (* A B)) |
(/ C (* A B)) |
(/ C (* A B)) |
(/ C (* A B)) |
(/ C (* A B)) |
(/ C (* A B)) |
(/ C (* A B)) |
(/ C (* A B)) |
(/ C (* A B)) |
(/ C (* A B)) |
(/ C (* A B)) |
(/ C (* A B)) |
(/ C (* A B)) |
(/ C (* A B)) |
(/ C (* A B)) |
(/ C (* A B)) |
(/ C (* A B)) |
| Outputs |
|---|
(sqrt (+ (pow A 2) (pow B 2))) |
(sqrt.f64 (fma.f64 A A (*.f64 B B))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) |
(-.f64 (sqrt.f64 (fma.f64 A A (*.f64 B B))) (*.f64 (*.f64 A C) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* C (+ (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (* 1/2 (* (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(fma.f64 C (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) C) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (fma.f64 A A (*.f64 B B)))) (neg.f64 A))) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* C (+ (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (* C (+ (* 1/2 (* (sqrt (/ 1 (+ (pow A 2) (pow B 2)))) (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (* 1/2 (* (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3)))))))))) |
(fma.f64 C (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) C) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (fma.f64 A A (*.f64 B B)))) (neg.f64 A)) (*.f64 (*.f64 (*.f64 (*.f64 A C) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (fma.f64 A A (*.f64 B B))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 A A (*.f64 B B)) (*.f64 (fma.f64 A A (*.f64 B B)) (fma.f64 A A (*.f64 B B))))))) (*.f64 #s(literal 1/2 binary64) C))) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) |
C |
(* C (+ 1 (* -1 (/ A C)))) |
(fma.f64 C (/.f64 A (neg.f64 C)) C) |
(* C (+ 1 (+ (* -1 (/ A C)) (* 1/2 (/ (pow B 2) (pow C 2)))))) |
(fma.f64 C (-.f64 (/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) (*.f64 C C)) (/.f64 A C)) C) |
(* C (+ 1 (+ (* -1 (/ A C)) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 3))) (* 1/2 (/ (pow B 2) (pow C 2))))))) |
(fma.f64 C (fma.f64 #s(literal 1/2 binary64) (fma.f64 A (/.f64 (*.f64 B B) (*.f64 C (*.f64 C C))) (/.f64 (*.f64 B B) (*.f64 C C))) (/.f64 A (neg.f64 C))) C) |
(* -1 C) |
(neg.f64 C) |
(* -1 (* C (+ 1 (* -1 (/ A C))))) |
(neg.f64 (fma.f64 C (/.f64 A (neg.f64 C)) C)) |
(* -1 (* C (+ 1 (* -1 (/ (+ A (* -1/2 (/ (pow B 2) C))) C))))) |
(neg.f64 (fma.f64 (neg.f64 C) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) C) A) C) C)) |
(* -1 (* C (+ 1 (* -1 (/ (+ A (* -1 (/ (+ (* 1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C))) C))))) |
(neg.f64 (fma.f64 C (/.f64 (+.f64 A (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 A (/.f64 (*.f64 B B) C) (*.f64 B B))) C)) (neg.f64 C)) C)) |
(sqrt (+ (pow B 2) (pow C 2))) |
(sqrt.f64 (fma.f64 C C (*.f64 B B))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B)))) (*.f64 (neg.f64 C) A) (sqrt.f64 (fma.f64 C C (*.f64 B B)))) |
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A |
(* A (+ 1 (* -1 (/ C A)))) |
(fma.f64 A (/.f64 C (neg.f64 A)) A) |
(* A (+ 1 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2)))))) |
(fma.f64 A (-.f64 (/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) (*.f64 A A)) (/.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))))))) |
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(* -1 A) |
(neg.f64 A) |
(* -1 (* A (+ 1 (* -1 (/ C A))))) |
(neg.f64 (fma.f64 A (/.f64 C (neg.f64 A)) A)) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1/2 (/ (pow B 2) A))) A))))) |
(neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) A) C) A) (neg.f64 A) A)) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1 (/ (+ (* 1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A))) A))))) |
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(- C A) |
(-.f64 C A) |
(- (+ C (* 1/2 (/ (pow B 2) (- C A)))) A) |
(-.f64 (fma.f64 B (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 C A))) C) A) |
(- (+ C (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A)))))) A) |
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(- (+ C (* (pow B 2) (+ (* (pow B 2) (- (* 1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A)))))) A) |
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B |
(* B (+ 1 (* 1/2 (/ (pow (- C A) 2) (pow B 2))))) |
(fma.f64 B (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 B B)) B) |
(* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))) |
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(* -1 B) |
(neg.f64 B) |
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(* -1/2 (/ B (- C A))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))) |
(* B (- (* 1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A))))) |
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(* B (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
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-1 |
#s(literal -1 binary64) |
(- (/ C B) (+ 1 (/ A B))) |
(-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)) |
(- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
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(- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- C A) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 B B)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 C A) #s(literal 4 binary64)) (pow.f64 B #s(literal 4 binary64))) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ C B)) (/ A B)) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- C A) 2) B))) B))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) B) (-.f64 A C)) B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- C A) 4) (pow B 2))) (* 1/2 (pow (- C A) 2))) B))) B))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 A C) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 C A) (-.f64 C A)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 C A) #s(literal 4 binary64))) (*.f64 B B))) B)) B)) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(-.f64 (*.f64 C (+.f64 (/.f64 #s(literal 1 binary64) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (/.f64 A B)))) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(fma.f64 C (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) C) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (fma.f64 A A (*.f64 B B)))) B)) (+.f64 (/.f64 #s(literal 1 binary64) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (/.f64 A B)))) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* 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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(* -1 (/ (+ A (* -1 A)) B)) |
(/.f64 #s(literal 0 binary64) B) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 B C) (/.f64 #s(literal 0 binary64) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 A (/.f64 B (*.f64 C C)) (/.f64 B C)) (/.f64 #s(literal 0 binary64) B)) |
(+ (* -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))))))) |
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(* 2 (/ C B)) |
(/.f64 (*.f64 #s(literal 2 binary64) C) B) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(*.f64 (neg.f64 C) (fma.f64 #s(literal 2 binary64) (/.f64 A (*.f64 B C)) (/.f64 #s(literal -2 binary64) B))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
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(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(*.f64 (neg.f64 C) (+.f64 (/.f64 (fma.f64 (/.f64 A B) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 B (/.f64 (*.f64 A B) C))) C)) (neg.f64 C)) (/.f64 #s(literal -2 binary64) B))) |
(/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B) |
(/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B 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 A (/.f64 (fma.f64 (neg.f64 C) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B)))) #s(literal 1 binary64)) (neg.f64 B)) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B 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))))) |
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(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* A (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) B) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
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(* -2 (/ A B)) |
(/.f64 (*.f64 A #s(literal -2 binary64)) B) |
(* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(*.f64 A (-.f64 (/.f64 C (*.f64 A B)) (-.f64 (/.f64 #s(literal 2 binary64) B) (/.f64 C (*.f64 A B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(*.f64 A (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 C (*.f64 A B))) (-.f64 (/.f64 #s(literal 2 binary64) B) (/.f64 C (*.f64 A 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)) |
(*.f64 B (/.f64 #s(literal 1/2 binary64) A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 B (/.f64 (*.f64 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)) |
(/.f64 (-.f64 (*.f64 B #s(literal -1/2 binary64)) (/.f64 (fma.f64 B (*.f64 C #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 C (*.f64 B (*.f64 B C))) (*.f64 #s(literal -1/8 binary64) (pow.f64 B #s(literal 4 binary64)))) (*.f64 A B))) A)) (neg.f64 A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
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(* 2 C) |
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(* 1/2 (/ (pow B 2) A)) |
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(* -1 B) |
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B |
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B |
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A |
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(* A (+ 1 (+ (* -1/8 (/ (pow B 4) (pow A 4))) (+ (* 1/16 (/ (pow B 6) (pow A 6))) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
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(* -1 (* A (+ 1 (+ (* -1/8 (/ (pow B 4) (pow A 4))) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
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(* -1 (* A (+ 1 (+ (* -1/8 (/ (pow B 4) (pow A 4))) (+ (* 1/16 (/ (pow B 6) (pow A 6))) (* 1/2 (/ (pow B 2) (pow A 2)))))))) |
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A |
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B |
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B |
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(fma.f64 A (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B)))) A) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 C C) (fma.f64 C C (*.f64 B B)))) B)) (/.f64 (fma.f64 (neg.f64 C) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B)))) #s(literal 1 binary64)) (neg.f64 B))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B 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 A (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 C C (*.f64 B B)) (*.f64 (fma.f64 C C (*.f64 B B)) (fma.f64 C C (*.f64 B B)))))) (/.f64 (*.f64 (*.f64 A C) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 C C) (fma.f64 C C (*.f64 B B))))) B) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 C C) (fma.f64 C C (*.f64 B B))))) B)) A)) (/.f64 (fma.f64 (neg.f64 C) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B)))) #s(literal 1 binary64)) B)) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B)) |
(* -2 (/ A B)) |
(/.f64 (*.f64 A #s(literal -2 binary64)) B) |
(* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(*.f64 A (-.f64 (/.f64 C (*.f64 A B)) (-.f64 (/.f64 #s(literal 2 binary64) B) (/.f64 C (*.f64 A B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(*.f64 A (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 C (*.f64 A B))) (-.f64 (/.f64 #s(literal 2 binary64) B) (/.f64 C (*.f64 A B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(*.f64 A (-.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 B (*.f64 A A)) (/.f64 (*.f64 B C) (*.f64 A (*.f64 A A)))) (/.f64 C (*.f64 A B))) (-.f64 (/.f64 #s(literal 2 binary64) B) (/.f64 C (*.f64 A B))))) |
(* 1/2 (/ B A)) |
(*.f64 B (/.f64 #s(literal 1/2 binary64) A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 B (/.f64 (*.f64 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)) |
(/.f64 (-.f64 (*.f64 B #s(literal -1/2 binary64)) (/.f64 (fma.f64 B (*.f64 C #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 C (*.f64 B (*.f64 B C))) (*.f64 #s(literal -1/8 binary64) (pow.f64 B #s(literal 4 binary64)))) (*.f64 A B))) A)) (neg.f64 A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(/.f64 (fma.f64 B #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 B (*.f64 C #s(literal 1/2 binary64))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (neg.f64 C) (-.f64 (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 C (*.f64 B (*.f64 B C)))) (*.f64 C (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal -1/2 binary64)))) (*.f64 A B)) (/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 C (*.f64 B (*.f64 B C))) (*.f64 #s(literal -1/8 binary64) (pow.f64 B #s(literal 4 binary64))))) B)) A)) (neg.f64 A))) (neg.f64 A)) |
(/ B (pow A 2)) |
(/.f64 B (*.f64 A A)) |
(/ B (pow A 2)) |
(/.f64 B (*.f64 A A)) |
(/ B (pow A 2)) |
(/.f64 B (*.f64 A A)) |
(/ B (pow A 2)) |
(/.f64 B (*.f64 A A)) |
(/ B (pow A 2)) |
(/.f64 B (*.f64 A A)) |
(/ B (pow A 2)) |
(/.f64 B (*.f64 A A)) |
(/ B (pow A 2)) |
(/.f64 B (*.f64 A A)) |
(/ B (pow A 2)) |
(/.f64 B (*.f64 A A)) |
(/ B (pow A 2)) |
(/.f64 B (*.f64 A A)) |
(/ B (pow A 2)) |
(/.f64 B (*.f64 A A)) |
(/ B (pow A 2)) |
(/.f64 B (*.f64 A A)) |
(/ B (pow A 2)) |
(/.f64 B (*.f64 A A)) |
(/ B (pow A 2)) |
(/.f64 B (*.f64 A A)) |
(/ B (pow A 2)) |
(/.f64 B (*.f64 A A)) |
(/ B (pow A 2)) |
(/.f64 B (*.f64 A A)) |
(/ B (pow A 2)) |
(/.f64 B (*.f64 A A)) |
(/ B (pow A 2)) |
(/.f64 B (*.f64 A A)) |
(/ B (pow A 2)) |
(/.f64 B (*.f64 A A)) |
(/ B (pow A 2)) |
(/.f64 B (*.f64 A A)) |
(/ B (pow A 2)) |
(/.f64 B (*.f64 A A)) |
(/ B (pow A 2)) |
(/.f64 B (*.f64 A A)) |
(/ B (pow A 2)) |
(/.f64 B (*.f64 A A)) |
(/ B (pow A 2)) |
(/.f64 B (*.f64 A A)) |
(/ B (pow A 2)) |
(/.f64 B (*.f64 A A)) |
(/ C (* A B)) |
(/.f64 C (*.f64 A B)) |
(/ C (* A B)) |
(/.f64 C (*.f64 A B)) |
(/ C (* A B)) |
(/.f64 C (*.f64 A B)) |
(/ C (* A B)) |
(/.f64 C (*.f64 A B)) |
(/ C (* A B)) |
(/.f64 C (*.f64 A B)) |
(/ C (* A B)) |
(/.f64 C (*.f64 A B)) |
(/ C (* A B)) |
(/.f64 C (*.f64 A B)) |
(/ C (* A B)) |
(/.f64 C (*.f64 A B)) |
(/ C (* A B)) |
(/.f64 C (*.f64 A B)) |
(/ C (* A B)) |
(/.f64 C (*.f64 A B)) |
(/ C (* A B)) |
(/.f64 C (*.f64 A B)) |
(/ C (* A B)) |
(/.f64 C (*.f64 A B)) |
(/ C (* A B)) |
(/.f64 C (*.f64 A B)) |
(/ C (* A B)) |
(/.f64 C (*.f64 A B)) |
(/ C (* A B)) |
(/.f64 C (*.f64 A B)) |
(/ C (* A B)) |
(/.f64 C (*.f64 A B)) |
(/ C (* A B)) |
(/.f64 C (*.f64 A B)) |
(/ C (* A B)) |
(/.f64 C (*.f64 A B)) |
(/ C (* A B)) |
(/.f64 C (*.f64 A B)) |
(/ C (* A B)) |
(/.f64 C (*.f64 A B)) |
(/ C (* A B)) |
(/.f64 C (*.f64 A B)) |
(/ C (* A B)) |
(/.f64 C (*.f64 A B)) |
(/ C (* A B)) |
(/.f64 C (*.f64 A B)) |
(/ C (* A B)) |
(/.f64 C (*.f64 A B)) |
(/ C (* A B)) |
(/.f64 C (*.f64 A B)) |
(/ C (* A B)) |
(/.f64 C (*.f64 A B)) |
(/ C (* A B)) |
(/.f64 C (*.f64 A B)) |
(/ C (* A B)) |
(/.f64 C (*.f64 A B)) |
(/ C (* A B)) |
(/.f64 C (*.f64 A B)) |
(/ C (* A B)) |
(/.f64 C (*.f64 A B)) |
(/ C (* A B)) |
(/.f64 C (*.f64 A B)) |
(/ C (* A B)) |
(/.f64 C (*.f64 A B)) |
(/ C (* A B)) |
(/.f64 C (*.f64 A B)) |
(/ C (* A B)) |
(/.f64 C (*.f64 A B)) |
(/ C (* A B)) |
(/.f64 C (*.f64 A B)) |
(/ C (* A B)) |
(/.f64 C (*.f64 A B)) |
| 4 810× | lower-/.f32 |
| 4 788× | lower-/.f64 |
| 3 842× | lower-*.f32 |
| 3 822× | lower-*.f64 |
| 3 094× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 622 |
| 0 | 101 | 622 |
| 1 | 398 | 586 |
| 2 | 3666 | 586 |
| 0 | 9906 | 483 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(hypot.f64 (-.f64 C A) B) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64))) |
(/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64))) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B)))) (PI.f64))) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B)))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B))) |
(+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 C (*.f64 B A))) (+.f64 (/.f64 C (*.f64 B A)) (/.f64 #s(literal -2 binary64) B))) |
(*.f64 A (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 C (*.f64 B A))) (+.f64 (/.f64 C (*.f64 B A)) (/.f64 #s(literal -2 binary64) B)))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 C (*.f64 B A))) (+.f64 (/.f64 C (*.f64 B A)) (/.f64 #s(literal -2 binary64) B)))))) (PI.f64))) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 C (*.f64 B A))) (+.f64 (/.f64 C (*.f64 B A)) (/.f64 #s(literal -2 binary64) B)))))) (PI.f64)) |
(-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)) |
(/.f64 (-.f64 C A) B) |
(sqrt.f64 (fma.f64 A A (*.f64 B B))) |
(+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) |
(/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B)) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 C (*.f64 B A))) (+.f64 (/.f64 C (*.f64 B A)) (/.f64 #s(literal -2 binary64) B))))) |
(/.f64 B (*.f64 A A)) |
(/.f64 C (*.f64 B A)) |
| Outputs |
|---|
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) |
(hypot.f64 (-.f64 C A) B) |
(hypot.f64 (-.f64 C A) (neg.f64 B)) |
(hypot.f64 B (-.f64 C A)) |
(hypot.f64 B (neg.f64 (-.f64 C A))) |
(hypot.f64 B (exp.f64 (log.f64 (-.f64 C A)))) |
(hypot.f64 (neg.f64 B) (-.f64 C A)) |
(hypot.f64 (neg.f64 B) (neg.f64 (-.f64 C A))) |
(hypot.f64 (neg.f64 B) (exp.f64 (log.f64 (-.f64 C A)))) |
(hypot.f64 (neg.f64 (-.f64 C A)) B) |
(hypot.f64 (neg.f64 (-.f64 C A)) (neg.f64 B)) |
(hypot.f64 (exp.f64 (log.f64 (-.f64 C A))) B) |
(hypot.f64 (exp.f64 (log.f64 (-.f64 C A))) (neg.f64 B)) |
(fabs.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) |
(sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (-.f64 C A) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 B B) (-.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))))) (fma.f64 (*.f64 B B) (*.f64 B (*.f64 B (*.f64 B B))) (*.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 (-.f64 C A) (-.f64 C A)))))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (*.f64 (+.f64 (-.f64 C A) B) (-.f64 (-.f64 C A) B)) (*.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)) (*.f64 (+.f64 (-.f64 C A) B) (-.f64 (-.f64 C A) B)))))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 B B) (*.f64 B (*.f64 B (*.f64 B B))) (*.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 (-.f64 C A) (-.f64 C A)))))) (sqrt.f64 (fma.f64 (-.f64 C A) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 B B) (-.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))))))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 B B) (*.f64 B (*.f64 B (*.f64 B B))) (*.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 (-.f64 C A) (-.f64 C A)))))) (sqrt.f64 (fma.f64 B (*.f64 B (*.f64 B B)) (-.f64 (*.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))))))) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)) (*.f64 (+.f64 (-.f64 C A) B) (-.f64 (-.f64 C A) B)))) (sqrt.f64 (*.f64 (+.f64 (-.f64 C A) B) (-.f64 (-.f64 C A) B)))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 B B) (*.f64 B (*.f64 B (*.f64 B B))) (*.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 (-.f64 C A) (-.f64 C A))))))) (sqrt.f64 (neg.f64 (fma.f64 (-.f64 C A) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 B B) (-.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A)))))))) |
(/.f64 (sqrt.f64 (neg.f64 (*.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)) (*.f64 (+.f64 (-.f64 C A) B) (-.f64 (-.f64 C A) B))))) (sqrt.f64 (neg.f64 (*.f64 (+.f64 (-.f64 C A) B) (-.f64 (-.f64 C A) B))))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 B (*.f64 B (*.f64 B B))) (*.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 (-.f64 C A) (-.f64 C A))))) (sqrt.f64 (-.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 B B) (*.f64 B (*.f64 B (*.f64 B B))) (*.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 (-.f64 C A) (-.f64 C A))))))) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 B B) (-.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A)))))))) |
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)) (*.f64 (+.f64 (-.f64 C A) B) (-.f64 (-.f64 C A) B))))) (neg.f64 (sqrt.f64 (*.f64 (+.f64 (-.f64 C A) B) (-.f64 (-.f64 C A) B))))) |
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 B B) (*.f64 B (*.f64 B (*.f64 B B))) (*.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 (-.f64 C A) (-.f64 C A)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 C A) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 B B) (-.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A)))))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 B B) (*.f64 B (*.f64 B (*.f64 B B))) (*.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 (-.f64 C A) (-.f64 C A)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 C A) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 B B) (-.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A)))))))) |
(*.f64 (sqrt.f64 (*.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)) (*.f64 (+.f64 (-.f64 C A) B) (-.f64 (-.f64 C A) B)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (-.f64 C A) B) (-.f64 (-.f64 C A) B))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)) (*.f64 (+.f64 (-.f64 C A) B) (-.f64 (-.f64 C A) B)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (-.f64 C A) B) (-.f64 (-.f64 C A) B))))) |
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(fma.f64 (sqrt.f64 (*.f64 (fma.f64 B B (*.f64 A A)) (*.f64 (+.f64 A B) (-.f64 A B)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 A B) (-.f64 A B))) #s(literal 1/2 binary64)) A) |
(fma.f64 (sqrt.f64 (*.f64 (fma.f64 B B (*.f64 A A)) (*.f64 (+.f64 A B) (-.f64 A B)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 A B) (-.f64 A B)))) A) |
(fma.f64 (pow.f64 (fma.f64 B B (*.f64 A A)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 B B (*.f64 A A)) #s(literal 1/4 binary64)) A) |
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 B B (*.f64 A A)))) (sqrt.f64 (sqrt.f64 (fma.f64 B B (*.f64 A A)))) A) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 A A (fma.f64 B B (*.f64 A A))) (*.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A))))) (fma.f64 A (*.f64 A A) (*.f64 (fma.f64 B B (*.f64 A A)) (sqrt.f64 (fma.f64 B B (*.f64 A A))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))) (-.f64 (*.f64 A A) (fma.f64 B B (*.f64 A A))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 A A (fma.f64 B B (*.f64 A A))) (*.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A))))) (fma.f64 A (*.f64 A A) (*.f64 (fma.f64 B B (*.f64 A A)) (sqrt.f64 (fma.f64 B B (*.f64 A A)))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))) (-.f64 (*.f64 A A) (fma.f64 B B (*.f64 A A)))))) |
(/.f64 (fma.f64 A (*.f64 A A) (*.f64 (fma.f64 B B (*.f64 A A)) (sqrt.f64 (fma.f64 B B (*.f64 A A))))) (-.f64 (fma.f64 A A (fma.f64 B B (*.f64 A A))) (*.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))))) |
(/.f64 (fma.f64 A (*.f64 A A) (*.f64 (fma.f64 B B (*.f64 A A)) (sqrt.f64 (fma.f64 B B (*.f64 A A))))) (+.f64 (fma.f64 B B (*.f64 A A)) (-.f64 (*.f64 A A) (*.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A))))))) |
(/.f64 (-.f64 (*.f64 A A) (fma.f64 B B (*.f64 A A))) (-.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A))))) |
(/.f64 (neg.f64 (fma.f64 A (*.f64 A A) (*.f64 (fma.f64 B B (*.f64 A A)) (sqrt.f64 (fma.f64 B B (*.f64 A A)))))) (neg.f64 (-.f64 (fma.f64 A A (fma.f64 B B (*.f64 A A))) (*.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A))))))) |
(/.f64 (neg.f64 (fma.f64 A (*.f64 A A) (*.f64 (fma.f64 B B (*.f64 A A)) (sqrt.f64 (fma.f64 B B (*.f64 A A)))))) (neg.f64 (+.f64 (fma.f64 B B (*.f64 A A)) (-.f64 (*.f64 A A) (*.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 A A) (fma.f64 B B (*.f64 A A)))) (neg.f64 (-.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))))) |
(/.f64 (-.f64 (fma.f64 B B (*.f64 A A)) (*.f64 A A)) (-.f64 (sqrt.f64 (fma.f64 B B (*.f64 A A))) A)) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 A (*.f64 A A) (*.f64 (fma.f64 B B (*.f64 A A)) (sqrt.f64 (fma.f64 B B (*.f64 A A))))))) (neg.f64 (neg.f64 (-.f64 (fma.f64 A A (fma.f64 B B (*.f64 A A))) (*.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 A A) (fma.f64 B B (*.f64 A A))))) (neg.f64 (neg.f64 (-.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A))))))) |
(/.f64 (neg.f64 (-.f64 (fma.f64 B B (*.f64 A A)) (*.f64 A A))) (neg.f64 (-.f64 (sqrt.f64 (fma.f64 B B (*.f64 A A))) A))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 A A (fma.f64 B B (*.f64 A A))) (*.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A))))) (fma.f64 A (*.f64 A A) (*.f64 (fma.f64 B B (*.f64 A A)) (sqrt.f64 (fma.f64 B B (*.f64 A A)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))) (-.f64 (*.f64 A A) (fma.f64 B B (*.f64 A A)))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 A (*.f64 A A) (*.f64 (fma.f64 B B (*.f64 A A)) (sqrt.f64 (fma.f64 B B (*.f64 A A))))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 A A (fma.f64 B B (*.f64 A A))) (*.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A))))))) |
(*.f64 (-.f64 (*.f64 A A) (fma.f64 B B (*.f64 A A))) (/.f64 #s(literal 1 binary64) (-.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 B) (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))) B)) |
(neg.f64 (/.f64 (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))) B)) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 B) (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 B) (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (neg.f64 B) (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 B) (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (neg.f64 B) (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A))))) #s(literal 1 binary64)))) |
(/.f64 (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))) (neg.f64 B)) |
(/.f64 (neg.f64 (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A))))) B) |
(/.f64 (fma.f64 A (*.f64 A A) (*.f64 (fma.f64 B B (*.f64 A A)) (sqrt.f64 (fma.f64 B B (*.f64 A A))))) (*.f64 (neg.f64 B) (-.f64 (fma.f64 A A (fma.f64 B B (*.f64 A A))) (*.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A))))))) |
(/.f64 (-.f64 (*.f64 A A) (fma.f64 B B (*.f64 A A))) (*.f64 (neg.f64 B) (-.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))))) |
(/.f64 (*.f64 (fma.f64 A (*.f64 A A) (*.f64 (fma.f64 B B (*.f64 A A)) (sqrt.f64 (fma.f64 B B (*.f64 A A))))) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 A A (fma.f64 B B (*.f64 A A))) (*.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A))))) (neg.f64 B))) |
(/.f64 (*.f64 (-.f64 (*.f64 A A) (fma.f64 B B (*.f64 A A))) #s(literal 1 binary64)) (*.f64 (-.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))) (neg.f64 B))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))))) (neg.f64 B)) |
(/.f64 (neg.f64 (fma.f64 A (*.f64 A A) (*.f64 (fma.f64 B B (*.f64 A A)) (sqrt.f64 (fma.f64 B B (*.f64 A A)))))) (neg.f64 (*.f64 (neg.f64 B) (-.f64 (fma.f64 A A (fma.f64 B B (*.f64 A A))) (*.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 A A) (fma.f64 B B (*.f64 A A)))) (neg.f64 (*.f64 (neg.f64 B) (-.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A))))))) |
(/.f64 (*.f64 (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))) #s(literal 1 binary64)) (neg.f64 B)) |
(/.f64 (*.f64 (fma.f64 A (*.f64 A A) (*.f64 (fma.f64 B B (*.f64 A A)) (sqrt.f64 (fma.f64 B B (*.f64 A A))))) (/.f64 #s(literal -1 binary64) B)) (-.f64 (fma.f64 A A (fma.f64 B B (*.f64 A A))) (*.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 A A) (fma.f64 B B (*.f64 A A))) (/.f64 #s(literal -1 binary64) B)) (-.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A))))) |
(/.f64 (/.f64 (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))) #s(literal -1 binary64)) B) |
(/.f64 (neg.f64 (*.f64 (fma.f64 A (*.f64 A A) (*.f64 (fma.f64 B B (*.f64 A A)) (sqrt.f64 (fma.f64 B B (*.f64 A A))))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (fma.f64 A A (fma.f64 B B (*.f64 A A))) (*.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A))))) (neg.f64 B)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 A A) (fma.f64 B B (*.f64 A A))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))) (neg.f64 B)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A))))))) B) |
(/.f64 (neg.f64 (*.f64 (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))) #s(literal 1 binary64))) B) |
(/.f64 (neg.f64 (*.f64 (fma.f64 A (*.f64 A A) (*.f64 (fma.f64 B B (*.f64 A A)) (sqrt.f64 (fma.f64 B B (*.f64 A A))))) (/.f64 #s(literal -1 binary64) B))) (neg.f64 (-.f64 (fma.f64 A A (fma.f64 B B (*.f64 A A))) (*.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 A A) (fma.f64 B B (*.f64 A A))) (/.f64 #s(literal -1 binary64) B))) (neg.f64 (-.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))))) |
(/.f64 (neg.f64 (/.f64 (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))) #s(literal -1 binary64))) (neg.f64 B)) |
(pow.f64 (/.f64 (neg.f64 B) (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (neg.f64 B) (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))) (neg.f64 B))) |
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))) B)) |
(*.f64 (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))) (/.f64 #s(literal -1 binary64) B)) |
(*.f64 (neg.f64 (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A))))) (/.f64 #s(literal 1 binary64) B)) |
(*.f64 (/.f64 #s(literal -1 binary64) B) (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A))))) |
(*.f64 (/.f64 #s(literal -1 binary64) B) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A))))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (neg.f64 B) (fma.f64 A (*.f64 A A) (*.f64 (fma.f64 B B (*.f64 A A)) (sqrt.f64 (fma.f64 B B (*.f64 A A)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 A A (fma.f64 B B (*.f64 A A))) (*.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A))))))) |
(*.f64 (pow.f64 (/.f64 (neg.f64 B) (-.f64 (*.f64 A A) (fma.f64 B B (*.f64 A A)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 C (*.f64 A B))) (+.f64 (/.f64 C (*.f64 A B)) (/.f64 #s(literal -2 binary64) B))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 A A) B)) #s(literal -1 binary64))) |
(exp.f64 (-.f64 (log.f64 B) (*.f64 #s(literal 2 binary64) (log.f64 A)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 A (neg.f64 A))) (/.f64 B (*.f64 A (neg.f64 A)))) |
(neg.f64 (/.f64 B (*.f64 A (neg.f64 A)))) |
(/.f64 B (*.f64 A A)) |
(/.f64 B (neg.f64 (*.f64 A (neg.f64 A)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) B)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 A A) B) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 A (/.f64 B A))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 A A) B)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 A A) B))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 A A) B) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 A (/.f64 B A)))) |
(/.f64 (neg.f64 B) (*.f64 A (neg.f64 A))) |
(/.f64 (neg.f64 B) (neg.f64 (neg.f64 (*.f64 A (neg.f64 A))))) |
(/.f64 (/.f64 B A) A) |
(/.f64 (neg.f64 (/.f64 B A)) (neg.f64 A)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 B A))) (neg.f64 (neg.f64 A))) |
(pow.f64 (/.f64 (*.f64 A A) B) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 A A) B) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 A (/.f64 B A)) #s(literal -1 binary64)) |
(*.f64 B (/.f64 #s(literal 1 binary64) (*.f64 A A))) |
(*.f64 #s(literal 1 binary64) (/.f64 B (*.f64 A A))) |
(*.f64 #s(literal -1 binary64) (/.f64 B (*.f64 A (neg.f64 A)))) |
(*.f64 (neg.f64 B) (/.f64 #s(literal 1 binary64) (*.f64 A (neg.f64 A)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 A A)) B) |
(*.f64 (/.f64 B A) (/.f64 #s(literal 1 binary64) A)) |
(*.f64 (/.f64 #s(literal 1 binary64) A) (/.f64 B A)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 A B) C)) #s(literal -1 binary64))) |
(neg.f64 (/.f64 C (*.f64 A (neg.f64 B)))) |
(neg.f64 (/.f64 (neg.f64 C) (*.f64 A B))) |
(/.f64 C (*.f64 A B)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 A B) C)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 A B) C) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 A (/.f64 C B))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 A B) C)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 A B) C))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 A B) C) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 A (/.f64 C B)))) |
(/.f64 (neg.f64 C) (*.f64 A (neg.f64 B))) |
(/.f64 (/.f64 C B) A) |
(/.f64 (*.f64 C #s(literal 1 binary64)) (*.f64 A B)) |
(/.f64 (neg.f64 (neg.f64 C)) (neg.f64 (*.f64 A (neg.f64 B)))) |
(/.f64 (neg.f64 (/.f64 C B)) (neg.f64 A)) |
(/.f64 (/.f64 C A) B) |
(/.f64 (neg.f64 (*.f64 C #s(literal 1 binary64))) (*.f64 A (neg.f64 B))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 C))) (neg.f64 (neg.f64 (*.f64 A (neg.f64 B))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 C B))) (neg.f64 (neg.f64 A))) |
(/.f64 (neg.f64 (/.f64 C A)) (neg.f64 B)) |
(pow.f64 (/.f64 (*.f64 A B) C) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 A B) C) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 A (/.f64 C B)) #s(literal -1 binary64)) |
(*.f64 C (/.f64 #s(literal 1 binary64) (*.f64 A B))) |
(*.f64 #s(literal 1 binary64) (/.f64 C (*.f64 A B))) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (pow.f64 (/.f64 A C) #s(literal -1 binary64))) |
(*.f64 (neg.f64 C) (/.f64 #s(literal 1 binary64) (*.f64 A (neg.f64 B)))) |
(*.f64 (/.f64 C B) (/.f64 #s(literal 1 binary64) A)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 A B)) C) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 A B)) (pow.f64 (/.f64 #s(literal 1 binary64) C) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) A) (/.f64 C B)) |
Compiled 54 601 to 5 337 computations (90.2% saved)
24 alts after pruning (22 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 753 | 16 | 1 769 |
| Fresh | 15 | 6 | 21 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 771 | 24 | 1 795 |
| Status | Accuracy | Program |
|---|---|---|
| 54.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))))) (PI.f64))) | |
| 23.0% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) (/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) A)))) (PI.f64))) | |
| 24.0% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C)))) (PI.f64))) | |
| 26.6% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64)))) (PI.f64))) | |
| 44.1% | (*.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 (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B))) (PI.f64))) | |
| 36.0% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 (exp.f64 (log.f64 A)) B)) (neg.f64 B)))) (PI.f64))) | |
| ▶ | 62.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64))) |
| ✓ | 41.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B)))) (PI.f64))) |
| 27.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A #s(approx (sqrt (+ (* A A) (* B B))) (fma.f64 B (*.f64 B (/.f64 #s(literal 1/2 binary64) A)) A))) (neg.f64 B)))) (PI.f64))) | |
| 26.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64))) | |
| 21.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 A #s(literal -2 binary64)) B))) (PI.f64))) | |
| 36.6% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 C A)) B))) (PI.f64))) | |
| 22.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal 2 binary64) C) B))) (PI.f64))) | |
| ▶ | 38.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 A B)) (neg.f64 B)))) (PI.f64))) |
| 37.5% | (*.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 1 binary64) #s(approx (/ (- C A) B) (/.f64 C B))))) (PI.f64))) | |
| ▶ | 27.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)))))) (PI.f64))) |
| 36.6% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* A A) (* B B)))) (neg B)) (-.f64 #s(literal 1 binary64) (/.f64 A B))))) (PI.f64))) | |
| 20.5% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* A A) (* B B)))) (neg B)) #s(literal 1 binary64)))) (PI.f64))) | |
| 14.7% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (* A (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B)))) (/.f64 (*.f64 B #s(literal -1/2 binary64)) A)))) (PI.f64))) | |
| ▶ | 12.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) |
| ✓ | 22.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
| 29.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (/.f64 (*.f64 B B) (pow.f64 (-.f64 C A) #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))))) (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))))) (PI.f64))) | |
| 32.0% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 B (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/8 binary64) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A)))) (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))))) (PI.f64))) | |
| ▶ | 34.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (PI.f64))) |
Compiled 863 to 601 computations (30.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B))))) | |
| cost-diff | 0 | (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)))))) | |
| cost-diff | 0 | (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)))))) (PI.f64)) | |
| cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)))))) (PI.f64))) | |
| cost-diff | 0 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A)))) | |
| cost-diff | 0 | (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) | |
| cost-diff | 0 | (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (PI.f64)) | |
| cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (PI.f64))) | |
| cost-diff | 0 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 A B)) (neg.f64 B))) | |
| cost-diff | 0 | (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 A B)) (neg.f64 B)))) | |
| cost-diff | 0 | (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 A B)) (neg.f64 B)))) (PI.f64)) | |
| cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 A B)) (neg.f64 B)))) (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 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) | |
| cost-diff | 0 | (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64)) | |
| cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64))) | |
| cost-diff | 5120 | (hypot.f64 B A) |
| 7 990× | lower-fma.f32 |
| 7 988× | lower-fma.f64 |
| 2 256× | lower-*.f32 |
| 2 240× | lower-*.f64 |
| 1 522× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 892 |
| 0 | 105 | 862 |
| 1 | 173 | 822 |
| 2 | 295 | 792 |
| 3 | 578 | 784 |
| 4 | 1266 | 784 |
| 5 | 2274 | 784 |
| 6 | 4063 | 784 |
| 7 | 6651 | 778 |
| 8 | 7423 | 778 |
| 9 | 7762 | 778 |
| 10 | 7861 | 778 |
| 11 | 7945 | 778 |
| 0 | 8001 | 672 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B))) |
(/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)) |
(+.f64 A (hypot.f64 B A)) |
A |
(hypot.f64 B A) |
B |
(neg.f64 B) |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 A B)) (neg.f64 B)))) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 A B)) (neg.f64 B)))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 A B)) (neg.f64 B)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 A B)) (neg.f64 B))) |
(/.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 A B)) (neg.f64 B)) |
#s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 A B)) |
(+.f64 A B) |
A |
B |
(neg.f64 B) |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A)))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))) |
#s(literal -1/2 binary64) |
(/.f64 B (-.f64 C A)) |
B |
(-.f64 C A) |
C |
A |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)))))) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)))))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)))))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B))))) |
(*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)))) |
A |
#s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)) |
#s(literal -1/2 binary64) |
(/.f64 B (*.f64 A A)) |
B |
(*.f64 A A) |
(/.f64 #s(literal -2 binary64) 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 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 B B (*.f64 A A)))) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64)) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 B B (*.f64 A A)))) B))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 B B (*.f64 A A)))) B))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 B B (*.f64 A A)))) B)) |
(/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)) |
(/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 B B (*.f64 A A)))) B) |
(+.f64 A (hypot.f64 B A)) |
(+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))) |
A |
(hypot.f64 B A) |
(sqrt.f64 (fma.f64 B B (*.f64 A A))) |
B |
(neg.f64 B) |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 A B)) (neg.f64 B)))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 B A)) (neg.f64 B)))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 A B)) (neg.f64 B)))) (PI.f64)) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 B A)) (neg.f64 B)))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 A B)) (neg.f64 B)))) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 B A)) (neg.f64 B)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 A B)) (neg.f64 B))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 B A)) (neg.f64 B))) |
(/.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 A B)) (neg.f64 B)) |
(/.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 B A)) (neg.f64 B)) |
#s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 A B)) |
#s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 B A)) |
(+.f64 A B) |
(+.f64 B A) |
A |
B |
(neg.f64 B) |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A)))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (PI.f64)) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A)))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A)) |
#s(literal -1/2 binary64) |
(/.f64 B (-.f64 C A)) |
B |
(-.f64 C A) |
C |
A |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)))))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)))))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)))))) (PI.f64)) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)))))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)))))) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)))))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B))))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) (*.f64 A A)) (/.f64 #s(literal -2 binary64) B))))) |
(*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)))) |
(*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)))) |
A |
#s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B))) |
#s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) (*.f64 A A)) (/.f64 #s(literal -2 binary64) B))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)) |
(fma.f64 B (/.f64 #s(literal -1/2 binary64) (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)) |
#s(literal -1/2 binary64) |
(/.f64 B (*.f64 A A)) |
B |
(*.f64 A A) |
(/.f64 #s(literal -2 binary64) B) |
#s(literal -2 binary64) |
(PI.f64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 7.815185490777751 | (/.f64 B (*.f64 A A)) | |
| accuracy | 9.987176828159873 | (*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)))) | |
| accuracy | 16.75155056752565 | #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B))) | |
| accuracy | 44.312392455499605 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B))))) | |
| accuracy | 0.01171875 | (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))) | |
| accuracy | 0.0546875 | (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (PI.f64)) | |
| accuracy | 0.1590135429102932 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (PI.f64))) | |
| accuracy | 43.42399665116348 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A)))) | |
| accuracy | 0.1590135429102932 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 A B)) (neg.f64 B)))) (PI.f64))) | |
| accuracy | 4.420982077237663 | (/.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 A B)) (neg.f64 B)) | |
| accuracy | 21.37094001896715 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 A B)) (neg.f64 B))) | |
| accuracy | 43.37625992076907 | #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 A B)) | |
| 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 | 0.1590135429102932 | (*.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 | 56.24558192235294 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64)) | |
| accuracy | 0.1590135429102932 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64))) | |
| accuracy | 4.420982077237663 | (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)) | |
| accuracy | 5.485990646394946 | (+.f64 A (hypot.f64 B A)) | |
| accuracy | 21.37094001896715 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B))) |
| 94.0ms | 168× | 0 | valid |
| 47.0ms | 47× | 2 | valid |
| 20.0ms | 29× | 1 | valid |
| 17.0ms | 12× | 3 | valid |
Compiled 584 to 50 computations (91.4% saved)
ival-atan: 21.0ms (16.8% of total)ival-div: 21.0ms (16.8% of total)ival-hypot: 20.0ms (16% of total)ival-mult: 20.0ms (16% of total)adjust: 13.0ms (10.4% of total)ival-add: 11.0ms (8.8% of total)ival-sub: 7.0ms (5.6% of total)ival-pow2: 6.0ms (4.8% of total)ival-sqrt: 3.0ms (2.4% of total)ival-pi: 1.0ms (0.8% of total)exact: 1.0ms (0.8% of total)ival-neg: 1.0ms (0.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (hypot.f64 B A) (patch (hypot.f64 B A) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64)) (patch (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64)) #<representation binary64>) () ()) |
#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64)) (patch (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64)) #<representation binary64>) () ()) |
#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64)) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 A B)) (neg.f64 B)))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 A B)) (neg.f64 B)))) (PI.f64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 A B)) (neg.f64 B)))) (PI.f64)) (patch (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 A B)) (neg.f64 B)))) (PI.f64)) #<representation binary64>) () ()) |
#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 A B)) (neg.f64 B)))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 A B)) (neg.f64 B)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 A B)) (neg.f64 B))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 A B)) (neg.f64 B))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (PI.f64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (PI.f64)) (patch (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (PI.f64)) #<representation binary64>) () ()) |
#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A)))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A)))) #<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 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)))))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)))))) (PI.f64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)))))) (PI.f64)) (patch (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)))))) (PI.f64)) #<representation binary64>) () ()) |
#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)))))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)))))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B))))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B))))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B))) #<representation binary64>) () ()) |
#s(alt (+.f64 A (hypot.f64 B A)) (patch (+.f64 A (hypot.f64 B A)) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)) (patch (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 A B)) (patch #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 A B)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 A B)) (neg.f64 B)) (patch (/.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 A B)) (neg.f64 B)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))) (patch (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B))) (patch #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B))) #<representation binary64>) () ()) |
#s(alt (*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)))) (patch (*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)))) #<representation binary64>) () ()) |
#s(alt (/.f64 B (*.f64 A A)) (patch (/.f64 B (*.f64 A A)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt A (taylor 0 B) (#s(alt (hypot.f64 B A) (patch (hypot.f64 B A) #<representation binary64>) () ())) ()) |
#s(alt (+ A (* 1/2 (/ (pow B 2) A))) (taylor 0 B) (#s(alt (hypot.f64 B A) (patch (hypot.f64 B A) #<representation binary64>) () ())) ()) |
#s(alt (+ A (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow A 3))) (* 1/2 (/ 1 A))))) (taylor 0 B) (#s(alt (hypot.f64 B A) (patch (hypot.f64 B A) #<representation binary64>) () ())) ()) |
#s(alt (+ 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))))) (taylor 0 B) (#s(alt (hypot.f64 B A) (patch (hypot.f64 B A) #<representation binary64>) () ())) ()) |
#s(alt B (taylor inf B) (#s(alt (hypot.f64 B A) (patch (hypot.f64 B A) #<representation binary64>) () ())) ()) |
#s(alt (* B (+ 1 (* 1/2 (/ (pow A 2) (pow B 2))))) (taylor inf B) (#s(alt (hypot.f64 B A) (patch (hypot.f64 B A) #<representation binary64>) () ())) ()) |
#s(alt (* B (+ 1 (+ (* -1/8 (/ (pow A 4) (pow B 4))) (* 1/2 (/ (pow A 2) (pow B 2)))))) (taylor inf B) (#s(alt (hypot.f64 B A) (patch (hypot.f64 B A) #<representation binary64>) () ())) ()) |
#s(alt (* B (+ 1 (+ (* -1/8 (/ (pow A 4) (pow B 4))) (+ (* 1/16 (/ (pow A 6) (pow B 6))) (* 1/2 (/ (pow A 2) (pow B 2))))))) (taylor inf B) (#s(alt (hypot.f64 B A) (patch (hypot.f64 B A) #<representation binary64>) () ())) ()) |
#s(alt (* -1 B) (taylor -inf B) (#s(alt (hypot.f64 B A) (patch (hypot.f64 B A) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* B (+ 1 (* 1/2 (/ (pow A 2) (pow B 2)))))) (taylor -inf B) (#s(alt (hypot.f64 B A) (patch (hypot.f64 B A) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* B (+ 1 (+ (* -1/8 (/ (pow A 4) (pow B 4))) (* 1/2 (/ (pow A 2) (pow B 2))))))) (taylor -inf B) (#s(alt (hypot.f64 B A) (patch (hypot.f64 B A) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* B (+ 1 (+ (* -1/8 (/ (pow A 4) (pow B 4))) (+ (* 1/16 (/ (pow A 6) (pow B 6))) (* 1/2 (/ (pow A 2) (pow B 2)))))))) (taylor -inf B) (#s(alt (hypot.f64 B A) (patch (hypot.f64 B A) #<representation binary64>) () ())) ()) |
#s(alt B (taylor 0 A) (#s(alt (hypot.f64 B A) (patch (hypot.f64 B A) #<representation binary64>) () ())) ()) |
#s(alt (+ B (* 1/2 (/ (pow A 2) B))) (taylor 0 A) (#s(alt (hypot.f64 B A) (patch (hypot.f64 B A) #<representation binary64>) () ())) ()) |
#s(alt (+ B (* (pow A 2) (+ (* -1/8 (/ (pow A 2) (pow B 3))) (* 1/2 (/ 1 B))))) (taylor 0 A) (#s(alt (hypot.f64 B A) (patch (hypot.f64 B A) #<representation binary64>) () ())) ()) |
#s(alt (+ B (* (pow A 2) (+ (* (pow A 2) (- (* 1/16 (/ (pow A 2) (pow B 5))) (* 1/8 (/ 1 (pow B 3))))) (* 1/2 (/ 1 B))))) (taylor 0 A) (#s(alt (hypot.f64 B A) (patch (hypot.f64 B A) #<representation binary64>) () ())) ()) |
#s(alt A (taylor inf A) (#s(alt (hypot.f64 B A) (patch (hypot.f64 B A) #<representation binary64>) () ())) ()) |
#s(alt (* A (+ 1 (* 1/2 (/ (pow B 2) (pow A 2))))) (taylor inf A) (#s(alt (hypot.f64 B A) (patch (hypot.f64 B A) #<representation binary64>) () ())) ()) |
#s(alt (* A (+ 1 (+ (* -1/8 (/ (pow B 4) (pow A 4))) (* 1/2 (/ (pow B 2) (pow A 2)))))) (taylor inf A) (#s(alt (hypot.f64 B A) (patch (hypot.f64 B A) #<representation binary64>) () ())) ()) |
#s(alt (* A (+ 1 (+ (* -1/8 (/ (pow B 4) (pow A 4))) (+ (* 1/16 (/ (pow B 6) (pow A 6))) (* 1/2 (/ (pow B 2) (pow A 2))))))) (taylor inf A) (#s(alt (hypot.f64 B A) (patch (hypot.f64 B A) #<representation binary64>) () ())) ()) |
#s(alt (* -1 A) (taylor -inf A) (#s(alt (hypot.f64 B A) (patch (hypot.f64 B A) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* A (+ 1 (* 1/2 (/ (pow B 2) (pow A 2)))))) (taylor -inf A) (#s(alt (hypot.f64 B A) (patch (hypot.f64 B A) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* A (+ 1 (+ (* -1/8 (/ (pow B 4) (pow A 4))) (* 1/2 (/ (pow B 2) (pow A 2))))))) (taylor -inf A) (#s(alt (hypot.f64 B A) (patch (hypot.f64 B A) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* A (+ 1 (+ (* -1/8 (/ (pow B 4) (pow A 4))) (+ (* 1/16 (/ (pow B 6) (pow A 6))) (* 1/2 (/ (pow B 2) (pow A 2)))))))) (taylor -inf A) (#s(alt (hypot.f64 B A) (patch (hypot.f64 B A) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor 0 B) (#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor 0 B) (#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor 0 B) (#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor 0 B) (#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor inf B) (#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor inf B) (#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor inf B) (#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor inf B) (#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor -inf B) (#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor -inf B) (#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor -inf B) (#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor -inf B) (#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (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 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (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 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (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 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (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 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor inf C) (#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor inf C) (#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor inf C) (#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) (taylor inf C) (#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) (taylor -inf C) (#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) (taylor -inf C) (#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) (taylor -inf C) (#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) (taylor 0 A) (#s(alt (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64)) (patch (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) (taylor 0 A) (#s(alt (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64)) (patch (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) (taylor 0 A) (#s(alt (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64)) (patch (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 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))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64)) (patch (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 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))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64)) (patch (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 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))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64)) (patch (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 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))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64)) (patch (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (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))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64)) (patch (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (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))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64)) (patch (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (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))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64)) (patch (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (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))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64)) (patch (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64)) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (taylor 0 B) (#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (taylor 0 B) (#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (taylor 0 B) (#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (taylor 0 B) (#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (taylor inf B) (#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (taylor inf B) (#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (taylor inf B) (#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (taylor inf B) (#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (taylor -inf B) (#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (taylor -inf B) (#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (taylor -inf B) (#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (taylor -inf B) (#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (taylor 0 C) (#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (taylor 0 C) (#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (taylor 0 C) (#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (taylor 0 C) (#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (taylor inf C) (#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (taylor inf C) (#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (taylor inf C) (#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (taylor inf C) (#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (taylor -inf C) (#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (taylor -inf C) (#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (taylor -inf C) (#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (taylor -inf C) (#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (taylor 0 A) (#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (taylor 0 A) (#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (taylor 0 A) (#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (taylor 0 A) (#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) #<representation binary64>) () ())) ()) |
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#s(alt (* 2 (/ C B)) (taylor inf C) (#s(alt (*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)))) (patch (*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)))) #<representation binary64>) () ())) ()) |
#s(alt (* C (+ (* 2 (/ 1 B)) (/ (* A (- (* -1/2 (/ B (pow A 2))) (* 2 (/ 1 B)))) C))) (taylor inf C) (#s(alt (*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)))) (patch (*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)))) #<representation binary64>) () ())) ()) |
#s(alt (* C (+ (* 2 (/ 1 B)) (/ (* A (- (* -1/2 (/ B (pow A 2))) (* 2 (/ 1 B)))) C))) (taylor inf C) (#s(alt (*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)))) (patch (*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)))) #<representation binary64>) () ())) ()) |
#s(alt (* C (+ (* 2 (/ 1 B)) (/ (* A (- (* -1/2 (/ B (pow A 2))) (* 2 (/ 1 B)))) C))) (taylor inf C) (#s(alt (*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)))) (patch (*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ C B)) (taylor -inf C) (#s(alt (*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)))) (patch (*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* C (- (* -1 (/ (* A (- (* -1/2 (/ B (pow A 2))) (* 2 (/ 1 B)))) C)) (* 2 (/ 1 B))))) (taylor -inf C) (#s(alt (*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)))) (patch (*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* C (- (* -1 (/ (* A (- (* -1/2 (/ B (pow A 2))) (* 2 (/ 1 B)))) C)) (* 2 (/ 1 B))))) (taylor -inf C) (#s(alt (*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)))) (patch (*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* C (- (* -1 (/ (* A (- (* -1/2 (/ B (pow A 2))) (* 2 (/ 1 B)))) C)) (* 2 (/ 1 B))))) (taylor -inf C) (#s(alt (*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)))) (patch (*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)))) #<representation binary64>) () ())) ()) |
#s(alt (/ B (pow A 2)) (taylor 0 B) (#s(alt (/.f64 B (*.f64 A A)) (patch (/.f64 B (*.f64 A A)) #<representation binary64>) () ())) ()) |
#s(alt (/ B (pow A 2)) (taylor 0 B) (#s(alt (/.f64 B (*.f64 A A)) (patch (/.f64 B (*.f64 A A)) #<representation binary64>) () ())) ()) |
#s(alt (/ B (pow A 2)) (taylor 0 B) (#s(alt (/.f64 B (*.f64 A A)) (patch (/.f64 B (*.f64 A A)) #<representation binary64>) () ())) ()) |
#s(alt (/ B (pow A 2)) (taylor 0 B) (#s(alt (/.f64 B (*.f64 A A)) (patch (/.f64 B (*.f64 A A)) #<representation binary64>) () ())) ()) |
#s(alt (/ B (pow A 2)) (taylor inf B) (#s(alt (/.f64 B (*.f64 A A)) (patch (/.f64 B (*.f64 A A)) #<representation binary64>) () ())) ()) |
#s(alt (/ B (pow A 2)) (taylor inf B) (#s(alt (/.f64 B (*.f64 A A)) (patch (/.f64 B (*.f64 A A)) #<representation binary64>) () ())) ()) |
#s(alt (/ B (pow A 2)) (taylor inf B) (#s(alt (/.f64 B (*.f64 A A)) (patch (/.f64 B (*.f64 A A)) #<representation binary64>) () ())) ()) |
#s(alt (/ B (pow A 2)) (taylor inf B) (#s(alt (/.f64 B (*.f64 A A)) (patch (/.f64 B (*.f64 A A)) #<representation binary64>) () ())) ()) |
#s(alt (/ B (pow A 2)) (taylor -inf B) (#s(alt (/.f64 B (*.f64 A A)) (patch (/.f64 B (*.f64 A A)) #<representation binary64>) () ())) ()) |
#s(alt (/ B (pow A 2)) (taylor -inf B) (#s(alt (/.f64 B (*.f64 A A)) (patch (/.f64 B (*.f64 A A)) #<representation binary64>) () ())) ()) |
#s(alt (/ B (pow A 2)) (taylor -inf B) (#s(alt (/.f64 B (*.f64 A A)) (patch (/.f64 B (*.f64 A A)) #<representation binary64>) () ())) ()) |
#s(alt (/ B (pow A 2)) (taylor -inf B) (#s(alt (/.f64 B (*.f64 A A)) (patch (/.f64 B (*.f64 A A)) #<representation binary64>) () ())) ()) |
#s(alt (/ B (pow A 2)) (taylor 0 A) (#s(alt (/.f64 B (*.f64 A A)) (patch (/.f64 B (*.f64 A A)) #<representation binary64>) () ())) ()) |
#s(alt (/ B (pow A 2)) (taylor 0 A) (#s(alt (/.f64 B (*.f64 A A)) (patch (/.f64 B (*.f64 A A)) #<representation binary64>) () ())) ()) |
#s(alt (/ B (pow A 2)) (taylor 0 A) (#s(alt (/.f64 B (*.f64 A A)) (patch (/.f64 B (*.f64 A A)) #<representation binary64>) () ())) ()) |
#s(alt (/ B (pow A 2)) (taylor 0 A) (#s(alt (/.f64 B (*.f64 A A)) (patch (/.f64 B (*.f64 A A)) #<representation binary64>) () ())) ()) |
#s(alt (/ B (pow A 2)) (taylor inf A) (#s(alt (/.f64 B (*.f64 A A)) (patch (/.f64 B (*.f64 A A)) #<representation binary64>) () ())) ()) |
#s(alt (/ B (pow A 2)) (taylor inf A) (#s(alt (/.f64 B (*.f64 A A)) (patch (/.f64 B (*.f64 A A)) #<representation binary64>) () ())) ()) |
#s(alt (/ B (pow A 2)) (taylor inf A) (#s(alt (/.f64 B (*.f64 A A)) (patch (/.f64 B (*.f64 A A)) #<representation binary64>) () ())) ()) |
#s(alt (/ B (pow A 2)) (taylor inf A) (#s(alt (/.f64 B (*.f64 A A)) (patch (/.f64 B (*.f64 A A)) #<representation binary64>) () ())) ()) |
#s(alt (/ B (pow A 2)) (taylor -inf A) (#s(alt (/.f64 B (*.f64 A A)) (patch (/.f64 B (*.f64 A A)) #<representation binary64>) () ())) ()) |
#s(alt (/ B (pow A 2)) (taylor -inf A) (#s(alt (/.f64 B (*.f64 A A)) (patch (/.f64 B (*.f64 A A)) #<representation binary64>) () ())) ()) |
#s(alt (/ B (pow A 2)) (taylor -inf A) (#s(alt (/.f64 B (*.f64 A A)) (patch (/.f64 B (*.f64 A A)) #<representation binary64>) () ())) ()) |
#s(alt (/ B (pow A 2)) (taylor -inf A) (#s(alt (/.f64 B (*.f64 A A)) (patch (/.f64 B (*.f64 A A)) #<representation binary64>) () ())) ()) |
243 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | B | @ | 0 | (* -1/2 (/ B (- C A))) |
| 0.0ms | A | @ | 0 | (* -1/2 (/ B (- C A))) |
| 0.0ms | C | @ | 0 | (* -1/2 (/ B (- C A))) |
| 0.0ms | A | @ | inf | (* -1/2 (/ B (- C A))) |
| 0.0ms | B | @ | -inf | (* -1/2 (/ B (- C A))) |
| 1× | egg-herbie |
| 8 878× | lower-fma.f64 |
| 8 878× | lower-fma.f32 |
| 6 124× | lower-*.f64 |
| 6 124× | lower-*.f32 |
| 3 418× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 794 | 19167 |
| 1 | 2294 | 18699 |
| 2 | 6921 | 18594 |
| 0 | 8206 | 15156 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
A |
(+ A (* 1/2 (/ (pow B 2) A))) |
(+ A (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow A 3))) (* 1/2 (/ 1 A))))) |
(+ 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))))) |
B |
(* B (+ 1 (* 1/2 (/ (pow A 2) (pow B 2))))) |
(* B (+ 1 (+ (* -1/8 (/ (pow A 4) (pow B 4))) (* 1/2 (/ (pow A 2) (pow B 2)))))) |
(* B (+ 1 (+ (* -1/8 (/ (pow A 4) (pow B 4))) (+ (* 1/16 (/ (pow A 6) (pow B 6))) (* 1/2 (/ (pow A 2) (pow B 2))))))) |
(* -1 B) |
(* -1 (* B (+ 1 (* 1/2 (/ (pow A 2) (pow B 2)))))) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow A 4) (pow B 4))) (* 1/2 (/ (pow A 2) (pow B 2))))))) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow A 4) (pow B 4))) (+ (* 1/16 (/ (pow A 6) (pow B 6))) (* 1/2 (/ (pow A 2) (pow B 2)))))))) |
B |
(+ B (* 1/2 (/ (pow A 2) B))) |
(+ B (* (pow A 2) (+ (* -1/8 (/ (pow A 2) (pow B 3))) (* 1/2 (/ 1 B))))) |
(+ B (* (pow A 2) (+ (* (pow A 2) (- (* 1/16 (/ (pow A 2) (pow B 5))) (* 1/8 (/ 1 (pow B 3))))) (* 1/2 (/ 1 B))))) |
A |
(* A (+ 1 (* 1/2 (/ (pow B 2) (pow A 2))))) |
(* A (+ 1 (+ (* -1/8 (/ (pow B 4) (pow A 4))) (* 1/2 (/ (pow B 2) (pow A 2)))))) |
(* A (+ 1 (+ (* -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 A) |
(* -1 (* A (+ 1 (* 1/2 (/ (pow B 2) (pow A 2)))))) |
(* -1 (* A (+ 1 (+ (* -1/8 (/ (pow B 4) (pow A 4))) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(* -1 (* A (+ 1 (+ (* -1/8 (/ (pow B 4) (pow A 4))) (+ (* 1/16 (/ (pow B 6) (pow A 6))) (* 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))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
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(/ (- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
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-1 |
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1 |
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(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(/ (- (* 2 C) (* 2 A)) B) |
(/ (- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
-1 |
(- (/ C B) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
1 |
(- (+ 1 (/ C B)) (/ A B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- A C) 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) B))) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(* -1 (/ (+ A (* -1 A)) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B) |
(- (+ (* -1 (/ (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* -1/2 (* (/ (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* A (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) B) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(* -2 (/ A B)) |
(* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(* -1/2 (/ B (- C A))) |
(* B (- (* 1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A))))) |
(* B (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(* B (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow (- C A) 7))) (* 1/16 (/ 1 (pow (- C A) 5))))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
-1 |
(- (/ C B) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- C A) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
1 |
(- (+ 1 (/ C B)) (/ A B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- C A) 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- C A) 4) (pow B 2))) (* 1/2 (pow (- C A) 2))) B))) B))) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(* -1 (/ (+ A (* -1 A)) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B) |
(- (+ (* -1 (/ (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* -1/2 (* (/ (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* A (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) B) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(* -2 (/ A B)) |
(* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(/ (- (* 2 C) (* 2 A)) B) |
(/ (- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
-1 |
(- (/ C B) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
1 |
(- (+ 1 (/ C B)) (/ A B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- A C) 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) B))) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(* -1 (/ (+ A (* -1 A)) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B) |
(- (+ (* -1 (/ (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* -1/2 (* (/ (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* A (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) B) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(* -2 (/ A B)) |
(* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(/ (- (* 2 C) (* 2 A)) B) |
(/ (- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
-1 |
(- (/ C B) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
1 |
(- (+ 1 (/ C B)) (/ A B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- A C) 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) B))) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(* -1 (/ (+ A (* -1 A)) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B) |
(- (+ (* -1 (/ (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* -1/2 (* (/ (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* A (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) B) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(* -2 (/ A B)) |
(* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
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))))))) |
(* 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 (/ (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)) |
(* 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))))) |
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))))) |
(* -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))))) |
-1 |
(- (* -1 (/ A B)) 1) |
(- (* A (- (* -1/2 (/ A (pow B 2))) (/ 1 B))) 1) |
(- (* A (- (* A (- (* 1/8 (/ (pow A 2) (pow B 4))) (* 1/2 (/ 1 (pow B 2))))) (/ 1 B))) 1) |
(* -2 (/ A B)) |
(* A (- (* -1/2 (/ B (pow A 2))) (* 2 (/ 1 B)))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (* 1/8 (/ (pow B 3) (pow A 4)))) (* 2 (/ 1 B)))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/16 (/ (pow B 5) (pow A 6))) (* 1/8 (/ (pow B 3) (pow A 4))))) (* 2 (/ 1 B)))) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* 1/8 (/ (pow B 3) (pow A 2)))) A)) |
(* -1 (/ (+ (* -1/2 B) (+ (* -1/16 (/ (pow B 5) (pow A 4))) (* 1/8 (/ (pow B 3) (pow A 2))))) A)) |
(* -1 (/ (+ (* -1/2 B) (+ (* -1/16 (/ (pow B 5) (pow A 4))) (+ (* 1/8 (/ (pow B 3) (pow A 2))) (* 1/2 (/ (+ (* 1/64 (pow B 8)) (* 1/16 (pow B 8))) (* (pow A 6) B)))))) A)) |
(* -2 (/ A B)) |
(/ (+ (* -2 A) (* -1/2 (/ (pow B 2) A))) B) |
(/ (+ (* -2 A) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow A 3))) (* 1/2 (/ 1 A))))) B) |
(/ (+ (* -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))))) B) |
-1 |
(- (* -1 (/ A B)) 1) |
(- (+ (* -1 (/ A B)) (* -1/2 (/ (pow A 2) (pow B 2)))) 1) |
(- (+ (* -1 (/ A B)) (+ (* -1/2 (/ (pow A 2) (pow B 2))) (* 1/8 (/ (pow A 4) (pow B 4))))) 1) |
1 |
(+ 1 (* -1 (/ A B))) |
(+ 1 (* -1 (/ (+ A (* -1/2 (/ (pow A 2) B))) B))) |
(+ 1 (* -1 (/ (+ A (* -1 (/ (+ (* -1/8 (/ (pow A 4) (pow B 2))) (* 1/2 (pow A 2))) B))) B))) |
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))))))) |
(* 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 (/ (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)) |
(* 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))))) |
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))))) |
(* -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))))) |
-1 |
(- (* -1 (/ A B)) 1) |
(- (* A (- (* -1/2 (/ A (pow B 2))) (/ 1 B))) 1) |
(- (* A (- (* A (- (* 1/8 (/ (pow A 2) (pow B 4))) (* 1/2 (/ 1 (pow B 2))))) (/ 1 B))) 1) |
(* -2 (/ A B)) |
(* A (- (* -1/2 (/ B (pow A 2))) (* 2 (/ 1 B)))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (* 1/8 (/ (pow B 3) (pow A 4)))) (* 2 (/ 1 B)))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/16 (/ (pow B 5) (pow A 6))) (* 1/8 (/ (pow B 3) (pow A 4))))) (* 2 (/ 1 B)))) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* 1/8 (/ (pow B 3) (pow A 2)))) A)) |
(* -1 (/ (+ (* -1/2 B) (+ (* -1/16 (/ (pow B 5) (pow A 4))) (* 1/8 (/ (pow B 3) (pow A 2))))) A)) |
(* -1 (/ (+ (* -1/2 B) (+ (* -1/16 (/ (pow B 5) (pow A 4))) (+ (* 1/8 (/ (pow B 3) (pow A 2))) (* 1/2 (/ (+ (* 1/64 (pow B 8)) (* 1/16 (pow B 8))) (* (pow A 6) B)))))) A)) |
(* -2 (/ A B)) |
(/ (+ (* -2 A) (* -1/2 (/ (pow B 2) A))) B) |
(/ (+ (* -2 A) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow A 3))) (* 1/2 (/ 1 A))))) B) |
(/ (+ (* -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))))) B) |
-1 |
(- (* -1 (/ A B)) 1) |
(- (+ (* -1 (/ A B)) (* -1/2 (/ (pow A 2) (pow B 2)))) 1) |
(- (+ (* -1 (/ A B)) (+ (* -1/2 (/ (pow A 2) (pow B 2))) (* 1/8 (/ (pow A 4) (pow B 4))))) 1) |
1 |
(+ 1 (* -1 (/ A B))) |
(+ 1 (* -1 (/ (+ A (* -1/2 (/ (pow A 2) B))) B))) |
(+ 1 (* -1 (/ (+ A (* -1 (/ (+ (* -1/8 (/ (pow A 4) (pow B 2))) (* 1/2 (pow A 2))) B))) B))) |
(* -1/2 (/ B (- C A))) |
(* -1/2 (/ B (- C A))) |
(* -1/2 (/ B (- C A))) |
(* -1/2 (/ B (- C A))) |
(* -1/2 (/ B (- C A))) |
(* -1/2 (/ B (- C A))) |
(* -1/2 (/ B (- C A))) |
(* -1/2 (/ B (- C A))) |
(* -1/2 (/ B (- C A))) |
(* -1/2 (/ B (- C A))) |
(* -1/2 (/ B (- C A))) |
(* -1/2 (/ B (- C A))) |
(* 1/2 (/ B A)) |
(+ (* 1/2 (/ B A)) (* 1/2 (/ (* B C) (pow A 2)))) |
(+ (* 1/2 (/ B A)) (* C (+ (* 1/2 (/ B (pow A 2))) (* 1/2 (/ (* B C) (pow A 3)))))) |
(+ (* 1/2 (/ B A)) (* C (+ (* 1/2 (/ B (pow A 2))) (* C (+ (* 1/2 (/ B (pow A 3))) (* 1/2 (/ (* B C) (pow A 4)))))))) |
(* -1/2 (/ B C)) |
(/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C) |
(/ (+ (* -1/2 B) (+ (* -1/2 (/ (* A B) C)) (* -1/2 (/ (* (pow A 2) B) (pow C 2))))) C) |
(/ (+ (* -1/2 B) (+ (* -1/2 (/ (* A B) C)) (+ (* -1/2 (/ (* (pow A 2) B) (pow C 2))) (* -1/2 (/ (* (pow A 3) B) (pow C 3)))))) C) |
(* -1/2 (/ B C)) |
(* -1 (/ (+ (* 1/2 B) (* 1/2 (/ (* A B) C))) C)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* A B)) (* -1/2 (/ (* (pow A 2) B) C))) C)) (* 1/2 B)) C)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (pow A 2) B)) (* 1/2 (/ (* (pow A 3) B) C))) C)) (* -1/2 (* A B))) C)) (* 1/2 B)) C)) |
(* -1/2 (/ B C)) |
(+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2)))) |
(+ (* -1/2 (/ B C)) (* A (+ (* -1/2 (/ B (pow C 2))) (* -1/2 (/ (* A B) (pow C 3)))))) |
(+ (* -1/2 (/ B C)) (* A (+ (* -1/2 (/ B (pow C 2))) (* A (+ (* -1/2 (/ B (pow C 3))) (* -1/2 (/ (* A B) (pow C 4)))))))) |
(* 1/2 (/ B A)) |
(/ (+ (* 1/2 B) (* 1/2 (/ (* B C) A))) A) |
(/ (+ (* 1/2 B) (+ (* 1/2 (/ (* B C) A)) (* 1/2 (/ (* B (pow C 2)) (pow A 2))))) A) |
(/ (+ (* 1/2 B) (+ (* 1/2 (/ (* B C) A)) (+ (* 1/2 (/ (* B (pow C 2)) (pow A 2))) (* 1/2 (/ (* B (pow C 3)) (pow A 3)))))) A) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* B C)) (* 1/2 (/ (* B (pow C 2)) A))) A)) (* -1/2 B)) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* B (pow C 2))) (* -1/2 (/ (* B (pow C 3)) A))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(/ (- (* 2 (/ C A)) 2) B) |
(/ (- (+ (* -1/2 (/ (pow B 2) (pow A 2))) (* 2 (/ C A))) 2) B) |
(/ (- (+ (* -1/2 (/ (pow B 2) (pow A 2))) (* 2 (/ C A))) 2) B) |
(/ (- (+ (* -1/2 (/ (pow B 2) (pow A 2))) (* 2 (/ C A))) 2) B) |
(* -1/2 (/ B (pow A 2))) |
(* B (- (* 2 (/ C (* A (pow B 2)))) (+ (* 1/2 (/ 1 (pow A 2))) (* 2 (/ 1 (pow B 2)))))) |
(* B (- (* 2 (/ C (* A (pow B 2)))) (+ (* 1/2 (/ 1 (pow A 2))) (* 2 (/ 1 (pow B 2)))))) |
(* B (- (* 2 (/ C (* A (pow B 2)))) (+ (* 1/2 (/ 1 (pow A 2))) (* 2 (/ 1 (pow B 2)))))) |
(* -1/2 (/ B (pow A 2))) |
(* -1 (* B (+ (* -2 (/ C (* A (pow B 2)))) (+ (* 1/2 (/ 1 (pow A 2))) (* 2 (/ 1 (pow B 2))))))) |
(* -1 (* B (+ (* -2 (/ C (* A (pow B 2)))) (+ (* 1/2 (/ 1 (pow A 2))) (* 2 (/ 1 (pow B 2))))))) |
(* -1 (* B (+ (* -2 (/ C (* A (pow B 2)))) (+ (* 1/2 (/ 1 (pow A 2))) (* 2 (/ 1 (pow B 2))))))) |
(* -1/2 (/ B (pow A 2))) |
(/ (+ (* -1/2 B) (* 2 (/ (* A C) B))) (pow A 2)) |
(/ (+ (* -1/2 B) (* A (+ (* -2 (/ A B)) (* 2 (/ C B))))) (pow A 2)) |
(/ (+ (* -1/2 B) (* A (+ (* -2 (/ A B)) (* 2 (/ C B))))) (pow A 2)) |
(/ -2 B) |
(- (* 2 (/ C (* A B))) (* 2 (/ 1 B))) |
(- (+ (* -1/2 (/ B (pow A 2))) (* 2 (/ C (* A B)))) (* 2 (/ 1 B))) |
(- (+ (* -1/2 (/ B (pow A 2))) (* 2 (/ C (* A B)))) (* 2 (/ 1 B))) |
(/ -2 B) |
(- (* 2 (/ C (* A B))) (* 2 (/ 1 B))) |
(- (* -1 (/ (+ (* -2 (/ C B)) (* 1/2 (/ B A))) A)) (* 2 (/ 1 B))) |
(- (* -1 (/ (+ (* -2 (/ C B)) (* 1/2 (/ B A))) A)) (* 2 (/ 1 B))) |
(- (* -1/2 (/ B (pow A 2))) (* 2 (/ 1 B))) |
(- (+ (* -1/2 (/ B (pow A 2))) (* 2 (/ C (* A B)))) (* 2 (/ 1 B))) |
(- (+ (* -1/2 (/ B (pow A 2))) (* 2 (/ C (* A B)))) (* 2 (/ 1 B))) |
(- (+ (* -1/2 (/ B (pow A 2))) (* 2 (/ C (* A B)))) (* 2 (/ 1 B))) |
(* 2 (/ C (* A B))) |
(* C (- (+ (* -1/2 (/ B (* (pow A 2) C))) (* 2 (/ 1 (* A B)))) (/ 2 (* B C)))) |
(* C (- (+ (* -1/2 (/ B (* (pow A 2) C))) (* 2 (/ 1 (* A B)))) (/ 2 (* B C)))) |
(* C (- (+ (* -1/2 (/ B (* (pow A 2) C))) (* 2 (/ 1 (* A B)))) (/ 2 (* B C)))) |
(* 2 (/ C (* A B))) |
(* -1 (* C (- (* -1 (/ (- (* -1/2 (/ B (pow A 2))) (* 2 (/ 1 B))) C)) (* 2 (/ 1 (* A B)))))) |
(* -1 (* C (- (* -1 (/ (- (* -1/2 (/ B (pow A 2))) (* 2 (/ 1 B))) C)) (* 2 (/ 1 (* A B)))))) |
(* -1 (* C (- (* -1 (/ (- (* -1/2 (/ B (pow A 2))) (* 2 (/ 1 B))) C)) (* 2 (/ 1 (* A B)))))) |
(* -1/2 (/ B A)) |
(/ (+ (* -1/2 B) (* 2 (/ (* A C) B))) A) |
(/ (+ (* -1/2 B) (* A (+ (* -2 (/ A B)) (* 2 (/ C B))))) A) |
(/ (+ (* -1/2 B) (* A (+ (* -2 (/ A B)) (* 2 (/ C B))))) A) |
(* -2 (/ A B)) |
(* A (- (* 2 (/ C (* A B))) (* 2 (/ 1 B)))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (* 2 (/ C (* A B)))) (* 2 (/ 1 B)))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (* 2 (/ C (* A B)))) (* 2 (/ 1 B)))) |
(* -2 (/ A B)) |
(* -1 (* A (+ (* -2 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* -1 (* A (+ (* -1 (/ (+ (* -1/2 (/ B A)) (* 2 (/ C B))) A)) (* 2 (/ 1 B))))) |
(* -1 (* A (+ (* -1 (/ (+ (* -1/2 (/ B A)) (* 2 (/ C B))) A)) (* 2 (/ 1 B))))) |
(/ (* A (- (* 2 (/ C A)) 2)) B) |
(/ (+ (* -1/2 (/ (pow B 2) A)) (* A (- (* 2 (/ C A)) 2))) B) |
(/ (+ (* -1/2 (/ (pow B 2) A)) (* A (- (* 2 (/ C A)) 2))) B) |
(/ (+ (* -1/2 (/ (pow B 2) A)) (* A (- (* 2 (/ C A)) 2))) B) |
(* -1/2 (/ B A)) |
(* B (- (/ (* A (- (* 2 (/ C A)) 2)) (pow B 2)) (* 1/2 (/ 1 A)))) |
(* B (- (/ (* A (- (* 2 (/ C A)) 2)) (pow B 2)) (* 1/2 (/ 1 A)))) |
(* B (- (/ (* A (- (* 2 (/ C A)) 2)) (pow B 2)) (* 1/2 (/ 1 A)))) |
(* -1/2 (/ B A)) |
(* -1 (* B (+ (* 1/2 (/ 1 A)) (/ (* A (+ 2 (* -2 (/ C A)))) (pow B 2))))) |
(* -1 (* B (+ (* 1/2 (/ 1 A)) (/ (* A (+ 2 (* -2 (/ C A)))) (pow B 2))))) |
(* -1 (* B (+ (* 1/2 (/ 1 A)) (/ (* A (+ 2 (* -2 (/ C A)))) (pow B 2))))) |
(* A (- (* -1/2 (/ B (pow A 2))) (* 2 (/ 1 B)))) |
(+ (* 2 (/ C B)) (* A (- (* -1/2 (/ B (pow A 2))) (* 2 (/ 1 B))))) |
(+ (* 2 (/ C B)) (* A (- (* -1/2 (/ B (pow A 2))) (* 2 (/ 1 B))))) |
(+ (* 2 (/ C B)) (* A (- (* -1/2 (/ B (pow A 2))) (* 2 (/ 1 B))))) |
(* 2 (/ C B)) |
(* C (+ (* 2 (/ 1 B)) (/ (* A (- (* -1/2 (/ B (pow A 2))) (* 2 (/ 1 B)))) C))) |
(* C (+ (* 2 (/ 1 B)) (/ (* A (- (* -1/2 (/ B (pow A 2))) (* 2 (/ 1 B)))) C))) |
(* C (+ (* 2 (/ 1 B)) (/ (* A (- (* -1/2 (/ B (pow A 2))) (* 2 (/ 1 B)))) C))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* -1 (/ (* A (- (* -1/2 (/ B (pow A 2))) (* 2 (/ 1 B)))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (* A (- (* -1/2 (/ B (pow A 2))) (* 2 (/ 1 B)))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (* A (- (* -1/2 (/ B (pow A 2))) (* 2 (/ 1 B)))) C)) (* 2 (/ 1 B))))) |
(/ B (pow A 2)) |
(/ B (pow A 2)) |
(/ B (pow A 2)) |
(/ B (pow A 2)) |
(/ B (pow A 2)) |
(/ B (pow A 2)) |
(/ B (pow A 2)) |
(/ B (pow A 2)) |
(/ B (pow A 2)) |
(/ B (pow A 2)) |
(/ B (pow A 2)) |
(/ B (pow A 2)) |
(/ B (pow A 2)) |
(/ B (pow A 2)) |
(/ B (pow A 2)) |
(/ B (pow A 2)) |
(/ B (pow A 2)) |
(/ B (pow A 2)) |
(/ B (pow A 2)) |
(/ B (pow A 2)) |
(/ B (pow A 2)) |
(/ B (pow A 2)) |
(/ B (pow A 2)) |
(/ B (pow A 2)) |
| Outputs |
|---|
A |
(+ A (* 1/2 (/ (pow B 2) A))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 B B) A) A) |
(+ A (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow A 3))) (* 1/2 (/ 1 A))))) |
(fma.f64 (*.f64 B B) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 B B) (*.f64 A (*.f64 A A))) (/.f64 #s(literal 1/2 binary64) A)) A) |
(+ 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))))) |
(fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 B B) (pow.f64 A #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 A (*.f64 A A)))) (/.f64 #s(literal 1/2 binary64) A)) A) |
B |
(* B (+ 1 (* 1/2 (/ (pow A 2) (pow B 2))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 A A) (*.f64 B B)) B) B) |
(* B (+ 1 (+ (* -1/8 (/ (pow A 4) (pow B 4))) (* 1/2 (/ (pow A 2) (pow B 2)))))) |
(fma.f64 B (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 A A) (*.f64 B B)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 A A) (*.f64 A A))) (*.f64 (*.f64 B B) (*.f64 B B)))) B) |
(* B (+ 1 (+ (* -1/8 (/ (pow A 4) (pow B 4))) (+ (* 1/16 (/ (pow A 6) (pow B 6))) (* 1/2 (/ (pow A 2) (pow B 2))))))) |
(fma.f64 B (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 A A) (*.f64 B B)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 A A) (*.f64 A A)) (*.f64 (*.f64 B B) (*.f64 B B))) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 A #s(literal 6 binary64))) (pow.f64 B #s(literal 6 binary64))))) B) |
(* -1 B) |
(neg.f64 B) |
(* -1 (* B (+ 1 (* 1/2 (/ (pow A 2) (pow B 2)))))) |
(*.f64 (fma.f64 (*.f64 A A) (/.f64 #s(literal 1/2 binary64) (*.f64 B B)) #s(literal 1 binary64)) (neg.f64 B)) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow A 4) (pow B 4))) (* 1/2 (/ (pow A 2) (pow B 2))))))) |
(neg.f64 (fma.f64 B (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 A A) (*.f64 B B)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 A A) (*.f64 A A))) (*.f64 (*.f64 B B) (*.f64 B B)))) B)) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow A 4) (pow B 4))) (+ (* 1/16 (/ (pow A 6) (pow B 6))) (* 1/2 (/ (pow A 2) (pow B 2)))))))) |
(neg.f64 (fma.f64 B (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 A A) (*.f64 B B)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 A A) (*.f64 A A)) (*.f64 (*.f64 B B) (*.f64 B B))) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 A #s(literal 6 binary64))) (pow.f64 B #s(literal 6 binary64))))) B)) |
B |
(+ B (* 1/2 (/ (pow A 2) B))) |
(fma.f64 A (/.f64 (*.f64 A #s(literal 1/2 binary64)) B) B) |
(+ B (* (pow A 2) (+ (* -1/8 (/ (pow A 2) (pow B 3))) (* 1/2 (/ 1 B))))) |
(fma.f64 (*.f64 A A) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 A A) (*.f64 B (*.f64 B B))) (/.f64 #s(literal 1/2 binary64) B)) B) |
(+ B (* (pow A 2) (+ (* (pow A 2) (- (* 1/16 (/ (pow A 2) (pow B 5))) (* 1/8 (/ 1 (pow B 3))))) (* 1/2 (/ 1 B))))) |
(fma.f64 (*.f64 A A) (fma.f64 (*.f64 A A) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 A A) (pow.f64 B #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 B (*.f64 B B)))) (/.f64 #s(literal 1/2 binary64) B)) B) |
A |
(* A (+ 1 (* 1/2 (/ (pow B 2) (pow A 2))))) |
(fma.f64 (*.f64 B (/.f64 B (*.f64 A A))) (*.f64 A #s(literal 1/2 binary64)) A) |
(* A (+ 1 (+ (* -1/8 (/ (pow B 4) (pow A 4))) (* 1/2 (/ (pow B 2) (pow A 2)))))) |
(fma.f64 A (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 B B) (*.f64 B B)) (*.f64 (*.f64 A A) (*.f64 A A))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 B B)) (*.f64 A A))) A) |
(* A (+ 1 (+ (* -1/8 (/ (pow B 4) (pow A 4))) (+ (* 1/16 (/ (pow B 6) (pow A 6))) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(fma.f64 A (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 B B) (*.f64 B B)) (*.f64 (*.f64 A A) (*.f64 A A))) (fma.f64 #s(literal 1/2 binary64) (*.f64 B (/.f64 B (*.f64 A A))) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 B #s(literal 6 binary64))) (pow.f64 A #s(literal 6 binary64))))) A) |
(* -1 A) |
(neg.f64 A) |
(* -1 (* A (+ 1 (* 1/2 (/ (pow B 2) (pow A 2)))))) |
(fma.f64 (*.f64 A (*.f64 B (/.f64 B (*.f64 A A)))) #s(literal -1/2 binary64) (neg.f64 A)) |
(* -1 (* A (+ 1 (+ (* -1/8 (/ (pow B 4) (pow A 4))) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 B B) (*.f64 B B)) (*.f64 (*.f64 A A) (*.f64 A A))) (fma.f64 #s(literal 1/2 binary64) (*.f64 B (/.f64 B (*.f64 A A))) #s(literal 1 binary64))) (neg.f64 A)) |
(* -1 (* A (+ 1 (+ (* -1/8 (/ (pow B 4) (pow A 4))) (+ (* 1/16 (/ (pow B 6) (pow A 6))) (* 1/2 (/ (pow B 2) (pow A 2)))))))) |
(neg.f64 (fma.f64 A (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 B B) (*.f64 B B)) (*.f64 (*.f64 A A) (*.f64 A A))) (fma.f64 #s(literal 1/2 binary64) (*.f64 B (/.f64 B (*.f64 A A))) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 B #s(literal 6 binary64))) (pow.f64 A #s(literal 6 binary64))))) A)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
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(*.f64 #s(literal 2 binary64) (/.f64 C B)) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
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(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
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(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
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(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
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(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
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(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
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(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
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(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
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1 |
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B |
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(* 2 A) |
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B |
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#s(literal -1 binary64) |
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(*.f64 #s(literal 2 binary64) (/.f64 C (*.f64 A B))) |
(* -1 (* C (- (* -1 (/ (- (* -1/2 (/ B (pow A 2))) (* 2 (/ 1 B))) C)) (* 2 (/ 1 (* A B)))))) |
(*.f64 C (+.f64 (fma.f64 B (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 A A) C)) (/.f64 #s(literal -2 binary64) (*.f64 B C))) (/.f64 #s(literal 2 binary64) (*.f64 A B)))) |
(* -1 (* C (- (* -1 (/ (- (* -1/2 (/ B (pow A 2))) (* 2 (/ 1 B))) C)) (* 2 (/ 1 (* A B)))))) |
(*.f64 C (+.f64 (fma.f64 B (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 A A) C)) (/.f64 #s(literal -2 binary64) (*.f64 B C))) (/.f64 #s(literal 2 binary64) (*.f64 A B)))) |
(* -1 (* C (- (* -1 (/ (- (* -1/2 (/ B (pow A 2))) (* 2 (/ 1 B))) C)) (* 2 (/ 1 (* A B)))))) |
(*.f64 C (+.f64 (fma.f64 B (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 A A) C)) (/.f64 #s(literal -2 binary64) (*.f64 B C))) (/.f64 #s(literal 2 binary64) (*.f64 A B)))) |
(* -1/2 (/ B A)) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) A) |
(/ (+ (* -1/2 B) (* 2 (/ (* A C) B))) A) |
(/.f64 (fma.f64 A (*.f64 #s(literal 2 binary64) (/.f64 C B)) (*.f64 B #s(literal -1/2 binary64))) A) |
(/ (+ (* -1/2 B) (* A (+ (* -2 (/ A B)) (* 2 (/ C B))))) A) |
(/.f64 (fma.f64 A (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 C A) B)) (*.f64 B #s(literal -1/2 binary64))) A) |
(/ (+ (* -1/2 B) (* A (+ (* -2 (/ A B)) (* 2 (/ C B))))) A) |
(/.f64 (fma.f64 A (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 C A) B)) (*.f64 B #s(literal -1/2 binary64))) A) |
(* -2 (/ A B)) |
(/.f64 (*.f64 A #s(literal -2 binary64)) B) |
(* A (- (* 2 (/ C (* A B))) (* 2 (/ 1 B)))) |
(*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 C A) #s(literal -2 binary64)) (/.f64 A B)) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (* 2 (/ C (* A B)))) (* 2 (/ 1 B)))) |
(*.f64 A (fma.f64 B (/.f64 #s(literal -1/2 binary64) (*.f64 A A)) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 C A) #s(literal -2 binary64)) B))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (* 2 (/ C (* A B)))) (* 2 (/ 1 B)))) |
(*.f64 A (fma.f64 B (/.f64 #s(literal -1/2 binary64) (*.f64 A A)) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 C A) #s(literal -2 binary64)) B))) |
(* -2 (/ A B)) |
(/.f64 (*.f64 A #s(literal -2 binary64)) B) |
(* -1 (* A (+ (* -2 (/ C (* A B))) (* 2 (/ 1 B))))) |
(neg.f64 (*.f64 A (fma.f64 #s(literal -2 binary64) (/.f64 C (*.f64 A B)) (/.f64 #s(literal 2 binary64) B)))) |
(* -1 (* A (+ (* -1 (/ (+ (* -1/2 (/ B A)) (* 2 (/ C B))) A)) (* 2 (/ 1 B))))) |
(*.f64 (neg.f64 A) (-.f64 (/.f64 #s(literal 2 binary64) B) (/.f64 (fma.f64 B (/.f64 #s(literal -1/2 binary64) A) (*.f64 #s(literal 2 binary64) (/.f64 C B))) A))) |
(* -1 (* A (+ (* -1 (/ (+ (* -1/2 (/ B A)) (* 2 (/ C B))) A)) (* 2 (/ 1 B))))) |
(*.f64 (neg.f64 A) (-.f64 (/.f64 #s(literal 2 binary64) B) (/.f64 (fma.f64 B (/.f64 #s(literal -1/2 binary64) A) (*.f64 #s(literal 2 binary64) (/.f64 C B))) A))) |
(/ (* A (- (* 2 (/ C A)) 2)) B) |
(*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 C A) #s(literal -2 binary64)) (/.f64 A B)) |
(/ (+ (* -1/2 (/ (pow B 2) A)) (* A (- (* 2 (/ C A)) 2))) B) |
(/.f64 (fma.f64 A (fma.f64 #s(literal 2 binary64) (/.f64 C A) #s(literal -2 binary64)) (*.f64 (/.f64 (*.f64 B B) A) #s(literal -1/2 binary64))) B) |
(/ (+ (* -1/2 (/ (pow B 2) A)) (* A (- (* 2 (/ C A)) 2))) B) |
(/.f64 (fma.f64 A (fma.f64 #s(literal 2 binary64) (/.f64 C A) #s(literal -2 binary64)) (*.f64 (/.f64 (*.f64 B B) A) #s(literal -1/2 binary64))) B) |
(/ (+ (* -1/2 (/ (pow B 2) A)) (* A (- (* 2 (/ C A)) 2))) B) |
(/.f64 (fma.f64 A (fma.f64 #s(literal 2 binary64) (/.f64 C A) #s(literal -2 binary64)) (*.f64 (/.f64 (*.f64 B B) A) #s(literal -1/2 binary64))) B) |
(* -1/2 (/ B A)) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) A) |
(* B (- (/ (* A (- (* 2 (/ C A)) 2)) (pow B 2)) (* 1/2 (/ 1 A)))) |
(*.f64 B (fma.f64 A (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 C A) #s(literal -2 binary64)) (*.f64 B B)) (/.f64 #s(literal -1/2 binary64) A))) |
(* B (- (/ (* A (- (* 2 (/ C A)) 2)) (pow B 2)) (* 1/2 (/ 1 A)))) |
(*.f64 B (fma.f64 A (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 C A) #s(literal -2 binary64)) (*.f64 B B)) (/.f64 #s(literal -1/2 binary64) A))) |
(* B (- (/ (* A (- (* 2 (/ C A)) 2)) (pow B 2)) (* 1/2 (/ 1 A)))) |
(*.f64 B (fma.f64 A (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 C A) #s(literal -2 binary64)) (*.f64 B B)) (/.f64 #s(literal -1/2 binary64) A))) |
(* -1/2 (/ B A)) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) A) |
(* -1 (* B (+ (* 1/2 (/ 1 A)) (/ (* A (+ 2 (* -2 (/ C A)))) (pow B 2))))) |
(*.f64 (neg.f64 B) (fma.f64 A (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 C A) #s(literal 2 binary64)) (*.f64 B B)) (/.f64 #s(literal 1/2 binary64) A))) |
(* -1 (* B (+ (* 1/2 (/ 1 A)) (/ (* A (+ 2 (* -2 (/ C A)))) (pow B 2))))) |
(*.f64 (neg.f64 B) (fma.f64 A (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 C A) #s(literal 2 binary64)) (*.f64 B B)) (/.f64 #s(literal 1/2 binary64) A))) |
(* -1 (* B (+ (* 1/2 (/ 1 A)) (/ (* A (+ 2 (* -2 (/ C A)))) (pow B 2))))) |
(*.f64 (neg.f64 B) (fma.f64 A (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 C A) #s(literal 2 binary64)) (*.f64 B B)) (/.f64 #s(literal 1/2 binary64) A))) |
(* A (- (* -1/2 (/ B (pow A 2))) (* 2 (/ 1 B)))) |
(*.f64 A (fma.f64 B (/.f64 #s(literal -1/2 binary64) (*.f64 A A)) (/.f64 #s(literal -2 binary64) B))) |
(+ (* 2 (/ C B)) (* A (- (* -1/2 (/ B (pow A 2))) (* 2 (/ 1 B))))) |
(fma.f64 A (fma.f64 B (/.f64 #s(literal -1/2 binary64) (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)) (*.f64 #s(literal 2 binary64) (/.f64 C B))) |
(+ (* 2 (/ C B)) (* A (- (* -1/2 (/ B (pow A 2))) (* 2 (/ 1 B))))) |
(fma.f64 A (fma.f64 B (/.f64 #s(literal -1/2 binary64) (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)) (*.f64 #s(literal 2 binary64) (/.f64 C B))) |
(+ (* 2 (/ C B)) (* A (- (* -1/2 (/ B (pow A 2))) (* 2 (/ 1 B))))) |
(fma.f64 A (fma.f64 B (/.f64 #s(literal -1/2 binary64) (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)) (*.f64 #s(literal 2 binary64) (/.f64 C B))) |
(* 2 (/ C B)) |
(*.f64 #s(literal 2 binary64) (/.f64 C B)) |
(* C (+ (* 2 (/ 1 B)) (/ (* A (- (* -1/2 (/ B (pow A 2))) (* 2 (/ 1 B)))) C))) |
(*.f64 C (fma.f64 A (fma.f64 B (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 A A) C)) (/.f64 #s(literal -2 binary64) (*.f64 B C))) (/.f64 #s(literal 2 binary64) B))) |
(* C (+ (* 2 (/ 1 B)) (/ (* A (- (* -1/2 (/ B (pow A 2))) (* 2 (/ 1 B)))) C))) |
(*.f64 C (fma.f64 A (fma.f64 B (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 A A) C)) (/.f64 #s(literal -2 binary64) (*.f64 B C))) (/.f64 #s(literal 2 binary64) B))) |
(* C (+ (* 2 (/ 1 B)) (/ (* A (- (* -1/2 (/ B (pow A 2))) (* 2 (/ 1 B)))) C))) |
(*.f64 C (fma.f64 A (fma.f64 B (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 A A) C)) (/.f64 #s(literal -2 binary64) (*.f64 B C))) (/.f64 #s(literal 2 binary64) B))) |
(* 2 (/ C B)) |
(*.f64 #s(literal 2 binary64) (/.f64 C B)) |
(* -1 (* C (- (* -1 (/ (* A (- (* -1/2 (/ B (pow A 2))) (* 2 (/ 1 B)))) C)) (* 2 (/ 1 B))))) |
(*.f64 C (fma.f64 A (fma.f64 B (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 A A) C)) (/.f64 #s(literal -2 binary64) (*.f64 B C))) (/.f64 #s(literal 2 binary64) B))) |
(* -1 (* C (- (* -1 (/ (* A (- (* -1/2 (/ B (pow A 2))) (* 2 (/ 1 B)))) C)) (* 2 (/ 1 B))))) |
(*.f64 C (fma.f64 A (fma.f64 B (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 A A) C)) (/.f64 #s(literal -2 binary64) (*.f64 B C))) (/.f64 #s(literal 2 binary64) B))) |
(* -1 (* C (- (* -1 (/ (* A (- (* -1/2 (/ B (pow A 2))) (* 2 (/ 1 B)))) C)) (* 2 (/ 1 B))))) |
(*.f64 C (fma.f64 A (fma.f64 B (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 A A) C)) (/.f64 #s(literal -2 binary64) (*.f64 B C))) (/.f64 #s(literal 2 binary64) B))) |
(/ B (pow A 2)) |
(/.f64 B (*.f64 A A)) |
(/ B (pow A 2)) |
(/.f64 B (*.f64 A A)) |
(/ B (pow A 2)) |
(/.f64 B (*.f64 A A)) |
(/ B (pow A 2)) |
(/.f64 B (*.f64 A A)) |
(/ B (pow A 2)) |
(/.f64 B (*.f64 A A)) |
(/ B (pow A 2)) |
(/.f64 B (*.f64 A A)) |
(/ B (pow A 2)) |
(/.f64 B (*.f64 A A)) |
(/ B (pow A 2)) |
(/.f64 B (*.f64 A A)) |
(/ B (pow A 2)) |
(/.f64 B (*.f64 A A)) |
(/ B (pow A 2)) |
(/.f64 B (*.f64 A A)) |
(/ B (pow A 2)) |
(/.f64 B (*.f64 A A)) |
(/ B (pow A 2)) |
(/.f64 B (*.f64 A A)) |
(/ B (pow A 2)) |
(/.f64 B (*.f64 A A)) |
(/ B (pow A 2)) |
(/.f64 B (*.f64 A A)) |
(/ B (pow A 2)) |
(/.f64 B (*.f64 A A)) |
(/ B (pow A 2)) |
(/.f64 B (*.f64 A A)) |
(/ B (pow A 2)) |
(/.f64 B (*.f64 A A)) |
(/ B (pow A 2)) |
(/.f64 B (*.f64 A A)) |
(/ B (pow A 2)) |
(/.f64 B (*.f64 A A)) |
(/ B (pow A 2)) |
(/.f64 B (*.f64 A A)) |
(/ B (pow A 2)) |
(/.f64 B (*.f64 A A)) |
(/ B (pow A 2)) |
(/.f64 B (*.f64 A A)) |
(/ B (pow A 2)) |
(/.f64 B (*.f64 A A)) |
(/ B (pow A 2)) |
(/.f64 B (*.f64 A A)) |
| 4 020× | lower-/.f32 |
| 4 000× | lower-/.f64 |
| 3 814× | lower-*.f32 |
| 3 798× | lower-*.f64 |
| 3 398× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 838 |
| 0 | 105 | 800 |
| 1 | 432 | 760 |
| 2 | 3779 | 760 |
| 0 | 8851 | 654 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(hypot.f64 B A) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64))) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 A B)) (neg.f64 B)))) (PI.f64))) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 A B)) (neg.f64 B)))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 A B)) (neg.f64 B)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 A B)) (neg.f64 B))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (PI.f64))) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A)))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)))))) (PI.f64))) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)))))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)))))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B))))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B))) |
(+.f64 A (hypot.f64 B A)) |
(/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)) |
#s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 A B)) |
(/.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 A B)) (neg.f64 B)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))) |
#s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B))) |
(*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)))) |
(/.f64 B (*.f64 A A)) |
| Outputs |
|---|
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 B B (*.f64 A A))))) |
(hypot.f64 B A) |
(hypot.f64 B (neg.f64 A)) |
(hypot.f64 B (exp.f64 (log.f64 A))) |
(hypot.f64 A B) |
(hypot.f64 A (neg.f64 B)) |
(hypot.f64 (neg.f64 B) A) |
(hypot.f64 (neg.f64 B) (neg.f64 A)) |
(hypot.f64 (neg.f64 B) (exp.f64 (log.f64 A))) |
(hypot.f64 (neg.f64 A) B) |
(hypot.f64 (neg.f64 A) (neg.f64 B)) |
(hypot.f64 (exp.f64 (log.f64 A)) B) |
(hypot.f64 (exp.f64 (log.f64 A)) (neg.f64 B)) |
(fabs.f64 (sqrt.f64 (fma.f64 B B (*.f64 A A)))) |
(sqrt.f64 (fma.f64 B B (*.f64 A A))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (*.f64 B B) (*.f64 (+.f64 B A) (-.f64 B A)) (*.f64 A (*.f64 A (*.f64 A A)))) (fma.f64 (*.f64 A A) (*.f64 A (*.f64 A (*.f64 A A))) (*.f64 (*.f64 B B) (*.f64 B (*.f64 B (*.f64 B B)))))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (*.f64 A A) (*.f64 (+.f64 B A) (-.f64 A B)) (*.f64 B (*.f64 B (*.f64 B B)))) (fma.f64 (*.f64 A A) (*.f64 A (*.f64 A (*.f64 A A))) (*.f64 (*.f64 B B) (*.f64 B (*.f64 B (*.f64 B B)))))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (*.f64 (+.f64 B A) (-.f64 A B)) (*.f64 (fma.f64 B B (*.f64 A A)) (*.f64 (+.f64 B A) (-.f64 A B)))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (*.f64 (+.f64 B A) (-.f64 B A)) (*.f64 (fma.f64 B B (*.f64 A A)) (*.f64 (+.f64 B A) (-.f64 B A)))))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 A A) (*.f64 A (*.f64 A (*.f64 A A))) (*.f64 (*.f64 B B) (*.f64 B (*.f64 B (*.f64 B B)))))) (sqrt.f64 (fma.f64 (*.f64 B B) (*.f64 (+.f64 B A) (-.f64 B A)) (*.f64 A (*.f64 A (*.f64 A A)))))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 A A) (*.f64 A (*.f64 A (*.f64 A A))) (*.f64 (*.f64 B B) (*.f64 B (*.f64 B (*.f64 B B)))))) (sqrt.f64 (fma.f64 (*.f64 A A) (*.f64 (+.f64 B A) (-.f64 A B)) (*.f64 B (*.f64 B (*.f64 B B)))))) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 B B (*.f64 A A)) (*.f64 (+.f64 B A) (-.f64 A B)))) (sqrt.f64 (*.f64 (+.f64 B A) (-.f64 A B)))) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 B B (*.f64 A A)) (*.f64 (+.f64 B A) (-.f64 B A)))) (sqrt.f64 (*.f64 (+.f64 B A) (-.f64 B A)))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 A A) (*.f64 A (*.f64 A (*.f64 A A))) (*.f64 (*.f64 B B) (*.f64 B (*.f64 B (*.f64 B B))))))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 B B) (*.f64 (+.f64 B A) (-.f64 B A)) (*.f64 A (*.f64 A (*.f64 A A))))))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 A A) (*.f64 A (*.f64 A (*.f64 A A))) (*.f64 (*.f64 B B) (*.f64 B (*.f64 B (*.f64 B B))))))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 A A) (*.f64 (+.f64 B A) (-.f64 A B)) (*.f64 B (*.f64 B (*.f64 B B))))))) |
(/.f64 (sqrt.f64 (neg.f64 (*.f64 (fma.f64 B B (*.f64 A A)) (*.f64 (+.f64 B A) (-.f64 A B))))) (sqrt.f64 (neg.f64 (*.f64 (+.f64 B A) (-.f64 A B))))) |
(/.f64 (sqrt.f64 (neg.f64 (*.f64 (fma.f64 B B (*.f64 A A)) (*.f64 (+.f64 B A) (-.f64 B A))))) (sqrt.f64 (neg.f64 (*.f64 (+.f64 B A) (-.f64 B A))))) |
(pow.f64 (sqrt.f64 (fma.f64 B B (*.f64 A A))) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 B B (*.f64 A A)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (fma.f64 B B (*.f64 A A)) (fma.f64 B B (*.f64 A A))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 B B (*.f64 A A)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
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(fma.f64 (sqrt.f64 (fma.f64 (*.f64 A A) (*.f64 A (*.f64 A (*.f64 A A))) (*.f64 (*.f64 B B) (*.f64 B (*.f64 B (*.f64 B B)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 A A) (*.f64 (+.f64 B A) (-.f64 A B)) (*.f64 B (*.f64 B (*.f64 B B))))) #s(literal 1/2 binary64)) A) |
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 A A) (*.f64 A (*.f64 A (*.f64 A A))) (*.f64 (*.f64 B B) (*.f64 B (*.f64 B (*.f64 B B)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (*.f64 (+.f64 B A) (-.f64 B A)) (*.f64 A (*.f64 A (*.f64 A A)))))) A) |
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 A A) (*.f64 A (*.f64 A (*.f64 A A))) (*.f64 (*.f64 B B) (*.f64 B (*.f64 B (*.f64 B B)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 A A) (*.f64 (+.f64 B A) (-.f64 A B)) (*.f64 B (*.f64 B (*.f64 B B)))))) A) |
(fma.f64 (sqrt.f64 (*.f64 (fma.f64 B B (*.f64 A A)) (*.f64 (+.f64 B A) (-.f64 A B)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 B A) (-.f64 A B))) #s(literal 1/2 binary64)) A) |
(fma.f64 (sqrt.f64 (*.f64 (fma.f64 B B (*.f64 A A)) (*.f64 (+.f64 B A) (-.f64 A B)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 B A) (-.f64 A B)))) A) |
(fma.f64 (sqrt.f64 (*.f64 (fma.f64 B B (*.f64 A A)) (*.f64 (+.f64 B A) (-.f64 B A)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 B A) (-.f64 B A))) #s(literal 1/2 binary64)) A) |
(fma.f64 (sqrt.f64 (*.f64 (fma.f64 B B (*.f64 A A)) (*.f64 (+.f64 B A) (-.f64 B A)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 B A) (-.f64 B A)))) A) |
(fma.f64 (pow.f64 (fma.f64 B B (*.f64 A A)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 B B (*.f64 A A)) #s(literal 1/4 binary64)) A) |
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 B B (*.f64 A A)))) (sqrt.f64 (sqrt.f64 (fma.f64 B B (*.f64 A A)))) A) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 A A (fma.f64 B B (*.f64 A A))) (*.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A))))) (fma.f64 A (*.f64 A A) (*.f64 (sqrt.f64 (fma.f64 B B (*.f64 A A))) (fma.f64 B B (*.f64 A A)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))) (-.f64 (*.f64 A A) (fma.f64 B B (*.f64 A A))))) |
(/.f64 (fma.f64 A (*.f64 A A) (*.f64 (sqrt.f64 (fma.f64 B B (*.f64 A A))) (fma.f64 B B (*.f64 A A)))) (-.f64 (fma.f64 A A (fma.f64 B B (*.f64 A A))) (*.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))))) |
(/.f64 (fma.f64 A (*.f64 A A) (*.f64 (sqrt.f64 (fma.f64 B B (*.f64 A A))) (fma.f64 B B (*.f64 A A)))) (+.f64 (fma.f64 B B (*.f64 A A)) (-.f64 (*.f64 A A) (*.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A))))))) |
(/.f64 (-.f64 (*.f64 A A) (fma.f64 B B (*.f64 A A))) (-.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A))))) |
(/.f64 (neg.f64 (fma.f64 A (*.f64 A A) (*.f64 (sqrt.f64 (fma.f64 B B (*.f64 A A))) (fma.f64 B B (*.f64 A A))))) (neg.f64 (-.f64 (fma.f64 A A (fma.f64 B B (*.f64 A A))) (*.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 A A) (fma.f64 B B (*.f64 A A)))) (neg.f64 (-.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))))) |
(/.f64 (-.f64 (fma.f64 B B (*.f64 A A)) (*.f64 A A)) (-.f64 (sqrt.f64 (fma.f64 B B (*.f64 A A))) A)) |
(pow.f64 (/.f64 (-.f64 (fma.f64 A A (fma.f64 B B (*.f64 A A))) (*.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A))))) (fma.f64 A (*.f64 A A) (*.f64 (sqrt.f64 (fma.f64 B B (*.f64 A A))) (fma.f64 B B (*.f64 A A))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))) (-.f64 (*.f64 A A) (fma.f64 B B (*.f64 A A)))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 A (*.f64 A A) (*.f64 (sqrt.f64 (fma.f64 B B (*.f64 A A))) (fma.f64 B B (*.f64 A A)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 A A (fma.f64 B B (*.f64 A A))) (*.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A))))))) |
(*.f64 (-.f64 (*.f64 A A) (fma.f64 B B (*.f64 A A))) (/.f64 #s(literal 1 binary64) (-.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 B) (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))) B)) |
(-.f64 (/.f64 (/.f64 (*.f64 A A) (-.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A))))) (neg.f64 B)) (/.f64 (/.f64 (fma.f64 B B (*.f64 A A)) (-.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A))))) (neg.f64 B))) |
(-.f64 (/.f64 #s(literal 0 binary64) B) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))) B)) |
(-.f64 (/.f64 (*.f64 A A) (*.f64 (neg.f64 B) (-.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))))) (/.f64 (fma.f64 B B (*.f64 A A)) (*.f64 (neg.f64 B) (-.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A))))))) |
(neg.f64 (/.f64 (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))) B)) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 B) (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 B) (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A))))) #s(literal 1 binary64))) |
(/.f64 (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))) (neg.f64 B)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 B) (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A))))))) |
(/.f64 (neg.f64 (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A))))) B) |
(/.f64 (fma.f64 A (*.f64 A A) (*.f64 (sqrt.f64 (fma.f64 B B (*.f64 A A))) (fma.f64 B B (*.f64 A A)))) (*.f64 (neg.f64 B) (-.f64 (fma.f64 A A (fma.f64 B B (*.f64 A A))) (*.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A))))))) |
(/.f64 (-.f64 (*.f64 A A) (fma.f64 B B (*.f64 A A))) (*.f64 (neg.f64 B) (-.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))))) |
(/.f64 (*.f64 (fma.f64 A (*.f64 A A) (*.f64 (sqrt.f64 (fma.f64 B B (*.f64 A A))) (fma.f64 B B (*.f64 A A)))) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 A A (fma.f64 B B (*.f64 A A))) (*.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A))))) (neg.f64 B))) |
(/.f64 (*.f64 (-.f64 (*.f64 A A) (fma.f64 B B (*.f64 A A))) #s(literal 1 binary64)) (*.f64 (-.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))) (neg.f64 B))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))))) (neg.f64 B)) |
(/.f64 (*.f64 (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))) #s(literal 1 binary64)) (neg.f64 B)) |
(/.f64 (*.f64 (fma.f64 A (*.f64 A A) (*.f64 (sqrt.f64 (fma.f64 B B (*.f64 A A))) (fma.f64 B B (*.f64 A A)))) (/.f64 #s(literal -1 binary64) B)) (-.f64 (fma.f64 A A (fma.f64 B B (*.f64 A A))) (*.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 A A) (fma.f64 B B (*.f64 A A))) (/.f64 #s(literal -1 binary64) B)) (-.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A))))) |
(/.f64 (/.f64 (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))) #s(literal -1 binary64)) B) |
(pow.f64 (/.f64 (neg.f64 B) (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (neg.f64 B) (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))) (neg.f64 B))) |
(*.f64 (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))) (/.f64 #s(literal -1 binary64) B)) |
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))) B)) |
(*.f64 (neg.f64 (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A))))) (/.f64 #s(literal 1 binary64) B)) |
(*.f64 (/.f64 #s(literal -1 binary64) B) (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A))))) |
(*.f64 (/.f64 #s(literal -1 binary64) B) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A))))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (neg.f64 B) (fma.f64 A (*.f64 A A) (*.f64 (sqrt.f64 (fma.f64 B B (*.f64 A A))) (fma.f64 B B (*.f64 A A))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 A A (fma.f64 B B (*.f64 A A))) (*.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A))))))) |
(*.f64 (pow.f64 (/.f64 (neg.f64 B) (-.f64 (*.f64 A A) (fma.f64 B B (*.f64 A A)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))))) |
#s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 B A)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 B) #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 B A)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 B A)) B)) |
(-.f64 (/.f64 #s(literal 0 binary64) B) (/.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 B A)) B)) |
(neg.f64 (/.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 B A)) B)) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 B) #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 B A)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 B) #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 B A))) #s(literal 1 binary64))) |
(/.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 B A)) (neg.f64 B)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 B) #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 B A))))) |
(/.f64 (neg.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 B A))) B) |
(/.f64 (neg.f64 (neg.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 B A)))) (neg.f64 B)) |
(/.f64 (*.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 B A)) #s(literal 1 binary64)) (neg.f64 B)) |
(/.f64 (/.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 B A)) #s(literal -1 binary64)) B) |
(pow.f64 (/.f64 (neg.f64 B) #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 B A))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (neg.f64 B) #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 B A))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 B A)) (neg.f64 B))) |
(*.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 B A)) (/.f64 #s(literal -1 binary64) B)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 B A)) B)) |
(*.f64 (neg.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 B A))) (/.f64 #s(literal 1 binary64) B)) |
(*.f64 (/.f64 #s(literal -1 binary64) B) #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 B A))) |
(*.f64 (/.f64 #s(literal -1 binary64) B) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 B A))) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) (*.f64 B #s(literal -1/2 binary64)))) |
(/.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 C A) B)) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A)) |
(/.f64 (neg.f64 (*.f64 B #s(literal -1/2 binary64))) (neg.f64 (-.f64 C A))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 B)) (neg.f64 (-.f64 C A))) |
(/.f64 (*.f64 (neg.f64 B) #s(literal -1/2 binary64)) (neg.f64 (-.f64 C A))) |
(pow.f64 (/.f64 (-.f64 C A) (*.f64 B #s(literal -1/2 binary64))) #s(literal -1 binary64)) |
(*.f64 B (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 C A)) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))) |
(*.f64 (/.f64 B (-.f64 C A)) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 B #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 C A))) |
(*.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) (*.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) (-.f64 C A))) (fma.f64 A (+.f64 A C) (*.f64 C C))) |
(*.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) (*.f64 (+.f64 A C) (-.f64 C A))) (+.f64 A C)) |
#s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B))) |
(*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)))) |
(*.f64 #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B))) A) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 A A) B)) #s(literal -1 binary64))) |
(exp.f64 (-.f64 (log.f64 B) (log.f64 (*.f64 A A)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 A A))) (/.f64 B (neg.f64 (*.f64 A A)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 A A)) (/.f64 (neg.f64 B) (*.f64 A A))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (*.f64 A A)))) (/.f64 (neg.f64 B) (neg.f64 (neg.f64 (*.f64 A A))))) |
(neg.f64 (/.f64 B (neg.f64 (*.f64 A A)))) |
(neg.f64 (/.f64 (neg.f64 B) (*.f64 A A))) |
(/.f64 B (*.f64 A A)) |
(/.f64 B (neg.f64 (neg.f64 (*.f64 A A)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) B)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 A A) B) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 A (/.f64 B A))) |
(/.f64 (neg.f64 B) (neg.f64 (*.f64 A A))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 A A) B))) |
(/.f64 (/.f64 B A) A) |
(/.f64 (neg.f64 (/.f64 B A)) (neg.f64 A)) |
(pow.f64 (/.f64 (*.f64 A A) B) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 A A) B) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 A (/.f64 B A)) #s(literal -1 binary64)) |
(*.f64 B (/.f64 #s(literal 1 binary64) (*.f64 A A))) |
(*.f64 #s(literal 1 binary64) (/.f64 B (*.f64 A A))) |
(*.f64 (neg.f64 B) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 A A)))) |
(*.f64 #s(literal -1 binary64) (/.f64 B (neg.f64 (*.f64 A A)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 A A)) B) |
(*.f64 (/.f64 B A) (/.f64 #s(literal 1 binary64) A)) |
(*.f64 (/.f64 #s(literal 1 binary64) A) (/.f64 B A)) |
Compiled 31 869 to 2 464 computations (92.3% saved)
31 alts after pruning (25 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 316 | 13 | 1 329 |
| Fresh | 5 | 12 | 17 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 322 | 31 | 1 353 |
| Status | Accuracy | Program |
|---|---|---|
| 34.9% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A)))))) (PI.f64)) | |
| 34.6% | (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A)))))))) | |
| 34.7% | (*.f64 (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (cbrt.f64 (PI.f64)))) | |
| ▶ | 34.7% | (*.f64 (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64))) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (sqrt.f64 (PI.f64)))) |
| 34.8% | (*.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A)))))) (/.f64 #s(literal 1 binary64) (PI.f64))) | |
| ▶ | 54.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))))) (PI.f64))) |
| 26.6% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64)))) (PI.f64))) | |
| 44.1% | (*.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 (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B))) (PI.f64))) | |
| 36.0% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 (exp.f64 (log.f64 A)) B)) (neg.f64 B)))) (PI.f64))) | |
| ✓ | 62.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64))) |
| ✓ | 41.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B)))) (PI.f64))) |
| 27.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A #s(approx (sqrt (+ (* A A) (* B B))) (fma.f64 B (*.f64 B (/.f64 #s(literal 1/2 binary64) A)) A))) (neg.f64 B)))) (PI.f64))) | |
| 26.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64))) | |
| ▶ | 21.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 A #s(literal -2 binary64)) B))) (PI.f64))) |
| 36.6% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 C A)) B))) (PI.f64))) | |
| 22.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal 2 binary64) C) B))) (PI.f64))) | |
| 34.5% | (*.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 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 A C) (/.f64 (-.f64 A C) B)) (-.f64 A C)) B)))) (PI.f64))) | |
| 37.5% | (*.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 1 binary64) #s(approx (/ (- C A) B) (/.f64 C B))))) (PI.f64))) | |
| ✓ | 27.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)))))) (PI.f64))) |
| 36.6% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) (-.f64 #s(literal 1 binary64) (/.f64 A B))))) (PI.f64))) | |
| 38.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) (-.f64 #s(literal -1 binary64) (/.f64 A B))))) (PI.f64))) | |
| ▶ | 20.5% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) #s(literal 1 binary64)))) (PI.f64))) |
| ✓ | 12.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) |
| ✓ | 22.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
| ▶ | 34.2% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64))) |
| 13.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) (*.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) (-.f64 C A))) (fma.f64 A (+.f64 A C) (*.f64 C C))))) (PI.f64))) | |
| 24.5% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) (*.f64 (+.f64 A C) (-.f64 C A))) (+.f64 A C)))) (PI.f64))) | |
| 29.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (/.f64 (*.f64 B B) (pow.f64 (-.f64 C A) #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))))) (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))))) (PI.f64))) | |
| 32.0% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 B (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/8 binary64) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A)))) (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))))) (PI.f64))) | |
| ✓ | 34.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (PI.f64))) |
| 26.6% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) #s(approx (* -1/2 (/ B (- C A))) (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)))) (PI.f64))) |
Compiled 1 104 to 753 computations (31.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (sqrt.f64 (PI.f64)) | |
| cost-diff | 0 | (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64))) | |
| cost-diff | 1984 | (*.f64 (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64))) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (sqrt.f64 (PI.f64)))) | |
| cost-diff | 0 | (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 C A) B)))) | |
| cost-diff | 0 | (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) | |
| cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64))) | |
| cost-diff | 384 | (/.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 C A) B)) | |
| cost-diff | 0 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 A #s(literal -2 binary64)) B)) | |
| cost-diff | 0 | (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 A #s(literal -2 binary64)) B))) | |
| cost-diff | 0 | (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 A #s(literal -2 binary64)) B))) (PI.f64)) | |
| cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 A #s(literal -2 binary64)) B))) (PI.f64))) | |
| cost-diff | 0 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) #s(literal 1 binary64)))) (PI.f64)) | |
| cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) #s(literal 1 binary64)))) (PI.f64))) | |
| cost-diff | 0 | (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))))) | |
| cost-diff | 0 | (/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))))) (PI.f64)) | |
| cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))))) (PI.f64))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
| 5 352× | lower-fma.f32 |
| 5 350× | lower-fma.f64 |
| 1 530× | lower-*.f32 |
| 1 514× | lower-*.f64 |
| 1 150× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 718 |
| 0 | 99 | 714 |
| 1 | 160 | 674 |
| 2 | 265 | 674 |
| 3 | 541 | 658 |
| 4 | 1258 | 658 |
| 5 | 2250 | 658 |
| 6 | 3613 | 658 |
| 7 | 4820 | 658 |
| 8 | 5677 | 658 |
| 9 | 5883 | 658 |
| 10 | 5963 | 658 |
| 11 | 5967 | 658 |
| 12 | 6018 | 658 |
| 13 | 6170 | 658 |
| 14 | 6280 | 658 |
| 15 | 6410 | 658 |
| 16 | 6450 | 658 |
| 17 | 6461 | 658 |
| 18 | 6461 | 658 |
| 19 | 6461 | 658 |
| 0 | 6461 | 517 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))))) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))))) (PI.f64)) |
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
#s(literal 1 binary64) |
(/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) |
B |
(-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) |
(-.f64 C A) |
C |
A |
(sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) |
(fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)) |
(*.f64 B B) |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) #s(literal 1 binary64)))) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) #s(literal 1 binary64)))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) #s(literal 1 binary64)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) #s(literal 1 binary64))) |
#s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 A #s(literal -2 binary64)) B))) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 A #s(literal -2 binary64)) B))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 A #s(literal -2 binary64)) B))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 A #s(literal -2 binary64)) B)) |
(/.f64 (*.f64 A #s(literal -2 binary64)) B) |
(*.f64 A #s(literal -2 binary64)) |
A |
#s(literal -2 binary64) |
B |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 C A) B)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 C A) B))) |
(/.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 C A) B)) |
#s(literal -1/2 binary64) |
(/.f64 (-.f64 C A) B) |
(-.f64 C A) |
C |
A |
B |
(PI.f64) |
(*.f64 (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64))) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (sqrt.f64 (PI.f64)))) |
(/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64))) |
#s(literal 180 binary64) |
(sqrt.f64 (PI.f64)) |
(PI.f64) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (sqrt.f64 (PI.f64))) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A)))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))) |
#s(literal -1/2 binary64) |
(/.f64 B (-.f64 C A)) |
B |
(-.f64 C A) |
C |
A |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B))) (PI.f64)) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))))) (PI.f64)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B)) (PI.f64)) |
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))))) |
(atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B)) |
(/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
(/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B) |
#s(literal 1 binary64) |
(/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) |
(/.f64 B (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
B |
(-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) |
(-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) |
(-.f64 C A) |
C |
A |
(sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) |
(fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)) |
(*.f64 B B) |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) #s(literal 1 binary64)))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) #s(literal 1 binary64)))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) #s(literal 1 binary64)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) #s(literal 1 binary64))) |
#s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 A #s(literal -2 binary64)) B))) (PI.f64))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 (neg.f64 A) A) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 A #s(literal -2 binary64)) B))) (PI.f64)) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 (neg.f64 A) A) B))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 A #s(literal -2 binary64)) B))) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 (neg.f64 A) A) B))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 A #s(literal -2 binary64)) B)) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 (neg.f64 A) A) B)) |
(/.f64 (*.f64 A #s(literal -2 binary64)) B) |
(/.f64 (-.f64 (neg.f64 A) A) B) |
(*.f64 A #s(literal -2 binary64)) |
(-.f64 (neg.f64 A) A) |
A |
#s(literal -2 binary64) |
B |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 C A) B)))) (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 (-.f64 C A))))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 C A) B)))) (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 (-.f64 C A))))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 C A) B)))) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 C A) B))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A)))) |
(/.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 C A) B)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))) |
#s(literal -1/2 binary64) |
(/.f64 (-.f64 C A) B) |
(-.f64 C A) |
C |
A |
B |
(PI.f64) |
(*.f64 (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64))) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (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 (-.f64 C A))))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64))) |
#s(literal 180 binary64) |
(sqrt.f64 (PI.f64)) |
(PI.f64) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (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 (-.f64 C A))))) (sqrt.f64 (PI.f64))) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A)))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))) |
#s(literal -1/2 binary64) |
(/.f64 B (-.f64 C A)) |
B |
(-.f64 C A) |
C |
A |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.11453878162065376 | (*.f64 (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64))) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (sqrt.f64 (PI.f64)))) | |
| accuracy | 0.71875 | (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (sqrt.f64 (PI.f64))) | |
| accuracy | 1.0 | (sqrt.f64 (PI.f64)) | |
| accuracy | 43.42399665116348 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A)))) | |
| accuracy | 0.0546875 | (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) | |
| accuracy | 0.1590135429102932 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64))) | |
| accuracy | 0.6728014819735169 | (/.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 C A) B)) | |
| accuracy | 43.42399665116348 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 C A) B))) | |
| accuracy | 0.0078125 | (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 A #s(literal -2 binary64)) B))) | |
| accuracy | 0.0546875 | (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 A #s(literal -2 binary64)) B))) (PI.f64)) | |
| accuracy | 0.1590135429102932 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 A #s(literal -2 binary64)) B))) (PI.f64))) | |
| accuracy | 51.95417007612621 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 A #s(literal -2 binary64)) B)) | |
| accuracy | 0.0546875 | (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) #s(literal 1 binary64)))) (PI.f64)) | |
| accuracy | 0.1590135429102932 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) #s(literal 1 binary64)))) (PI.f64))) | |
| accuracy | 21.37094001896715 | #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) #s(literal 1 binary64))) | |
| accuracy | 46.92148147461283 | #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) #s(literal 1 binary64)) | |
| accuracy | 0.49821619278768847 | (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) | |
| accuracy | 4.037231823644442 | (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) | |
| accuracy | 8.338904558664293 | (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) | |
| accuracy | 33.23356581104203 | (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) |
| 63.0ms | 168× | 0 | valid |
| 54.0ms | 44× | 2 | valid |
| 22.0ms | 29× | 1 | valid |
| 19.0ms | 15× | 3 | valid |
Compiled 582 to 50 computations (91.4% saved)
ival-div: 28.0ms (25.9% of total)ival-mult: 21.0ms (19.5% of total)ival-hypot: 15.0ms (13.9% of total)adjust: 10.0ms (9.3% of total)ival-sub: 8.0ms (7.4% of total)ival-atan: 7.0ms (6.5% of total)ival-add: 6.0ms (5.6% of total)ival-pow2: 5.0ms (4.6% of total)ival-sqrt: 4.0ms (3.7% of total)ival-pi: 1.0ms (0.9% of total)exact: 1.0ms (0.9% of total)ival-neg: 1.0ms (0.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))))) (PI.f64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))))) (PI.f64)) (patch (/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))))) (PI.f64)) #<representation binary64>) () ()) |
#s(alt (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))))) (patch (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 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(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) #s(literal 1 binary64)))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) #s(literal 1 binary64)))) (PI.f64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) #s(literal 1 binary64)))) (PI.f64)) (patch (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) #s(literal 1 binary64)))) (PI.f64)) #<representation binary64>) () ()) |
#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) #s(literal 1 binary64)))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) #s(literal 1 binary64))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 A #s(literal -2 binary64)) B))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 A #s(literal -2 binary64)) B))) (PI.f64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 A #s(literal -2 binary64)) B))) (PI.f64)) (patch (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 A #s(literal -2 binary64)) B))) (PI.f64)) #<representation binary64>) () ()) |
#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 A #s(literal -2 binary64)) B))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 A #s(literal -2 binary64)) B))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 A #s(literal -2 binary64)) B)) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 A #s(literal -2 binary64)) B)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 C A) B)) (patch (/.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 C A) B)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64))) (patch (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) (patch (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) #<representation binary64>) () ()) |
#s(alt (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 C A) B)))) (patch (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 C A) B)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64))) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (sqrt.f64 (PI.f64)))) (patch (*.f64 (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64))) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (sqrt.f64 (PI.f64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64))) (patch (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ()) |
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (patch (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) #<representation binary64>) () ()) |
#s(alt (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (patch (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) #<representation binary64>) () ()) |
#s(alt (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) (patch (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) #s(literal 1 binary64)) (patch #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 C A) B))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 C A) B))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A)))) (patch #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (sqrt.f64 (PI.f64))) (patch (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (sqrt.f64 (PI.f64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1/2 (/ B (- C A))) (taylor 0 B) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) #<representation binary64>) () ())) ()) |
#s(alt (* B (- (* 1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A))))) (taylor 0 B) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) #<representation binary64>) () ())) ()) |
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#s(alt (* (sqrt (/ 1 (PI))) (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B))) (taylor -inf A) (#s(alt (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (sqrt.f64 (PI.f64))) (patch (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (sqrt.f64 (PI.f64))) #<representation binary64>) () ())) ()) |
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#s(alt (* (sqrt (/ 1 (PI))) (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B))) (taylor -inf A) (#s(alt (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (sqrt.f64 (PI.f64))) (patch (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (sqrt.f64 (PI.f64))) #<representation binary64>) () ())) ()) |
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213 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | A | @ | 0 | (/ B (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) |
| 1.0ms | C | @ | 0 | (/ B (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) |
| 1.0ms | C | @ | inf | (/ B (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) |
| 1.0ms | A | @ | -inf | (/ B (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) |
| 1.0ms | B | @ | 0 | (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) (sqrt (PI))) |
| 1× | egg-herbie |
| 8 200× | lower-fma.f64 |
| 8 200× | lower-fma.f32 |
| 6 176× | lower-*.f64 |
| 6 176× | lower-*.f32 |
| 5 338× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1156 | 19555 |
| 1 | 3522 | 18972 |
| 0 | 8234 | 15534 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/2 (/ B (- C A))) |
(* B (- (* 1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A))))) |
(* B (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(* B (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow (- C A) 7))) (* 1/16 (/ 1 (pow (- C A) 5))))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
-1 |
(- (/ C B) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- C A) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
1 |
(- (+ 1 (/ C B)) (/ A B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- C A) 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- C A) 4) (pow B 2))) (* 1/2 (pow (- C A) 2))) B))) B))) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
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(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(/ (- (* 2 C) (* 2 A)) B) |
(/ (- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
-1 |
(- (/ C B) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
1 |
(- (+ 1 (/ C B)) (/ A B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- A C) 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) B))) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(* -1 (/ (+ A (* -1 A)) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B) |
(- (+ (* -1 (/ (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* -1/2 (* (/ (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* A (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) B) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(* -2 (/ A B)) |
(* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(/ (- (* 2 C) (* 2 A)) B) |
(/ (- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
-1 |
(- (/ C B) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
1 |
(- (+ 1 (/ C B)) (/ A B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- A C) 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) B))) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(* -1 (/ (+ A (* -1 A)) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B) |
(- (+ (* -1 (/ (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* -1/2 (* (/ (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* A (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) B) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(* -2 (/ A B)) |
(* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* 1/2 (/ B A)) |
(+ (* 1/2 (/ B A)) (* 1/2 (/ (* B C) (pow A 2)))) |
(+ (* 1/2 (/ B A)) (* C (+ (* 1/2 (/ B (pow A 2))) (* 1/2 (/ (* B C) (pow A 3)))))) |
(+ (* 1/2 (/ B A)) (* C (+ (* 1/2 (/ B (pow A 2))) (* C (+ (* 1/2 (/ B (pow A 3))) (* 1/2 (/ (* B C) (pow A 4)))))))) |
(* -1/2 (/ B C)) |
(/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C) |
(/ (+ (* -1/2 B) (+ (* -1/2 (/ (* A B) C)) (* -1/2 (/ (* (pow A 2) B) (pow C 2))))) C) |
(/ (+ (* -1/2 B) (+ (* -1/2 (/ (* A B) C)) (+ (* -1/2 (/ (* (pow A 2) B) (pow C 2))) (* -1/2 (/ (* (pow A 3) B) (pow C 3)))))) C) |
(* -1/2 (/ B C)) |
(* -1 (/ (+ (* 1/2 B) (* 1/2 (/ (* A B) C))) C)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* A B)) (* -1/2 (/ (* (pow A 2) B) C))) C)) (* 1/2 B)) C)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (pow A 2) B)) (* 1/2 (/ (* (pow A 3) B) C))) C)) (* -1/2 (* A B))) C)) (* 1/2 B)) C)) |
(* -1/2 (/ B C)) |
(+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2)))) |
(+ (* -1/2 (/ B C)) (* A (+ (* -1/2 (/ B (pow C 2))) (* -1/2 (/ (* A B) (pow C 3)))))) |
(+ (* -1/2 (/ B C)) (* A (+ (* -1/2 (/ B (pow C 2))) (* A (+ (* -1/2 (/ B (pow C 3))) (* -1/2 (/ (* A B) (pow C 4)))))))) |
(* 1/2 (/ B A)) |
(/ (+ (* 1/2 B) (* 1/2 (/ (* B C) A))) A) |
(/ (+ (* 1/2 B) (+ (* 1/2 (/ (* B C) A)) (* 1/2 (/ (* B (pow C 2)) (pow A 2))))) A) |
(/ (+ (* 1/2 B) (+ (* 1/2 (/ (* B C) A)) (+ (* 1/2 (/ (* B (pow C 2)) (pow A 2))) (* 1/2 (/ (* B (pow C 3)) (pow A 3)))))) A) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* B C)) (* 1/2 (/ (* B (pow C 2)) A))) A)) (* -1/2 B)) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* B (pow C 2))) (* -1/2 (/ (* B (pow C 3)) A))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* -1/2 (/ B (- C A))) |
(* -1/2 (/ B (- C A))) |
(* -1/2 (/ B (- C A))) |
(* -1/2 (/ B (- C A))) |
(* -1/2 (/ B (- C A))) |
(* -1/2 (/ B (- C A))) |
(* -1/2 (/ B (- C A))) |
(* -1/2 (/ B (- C A))) |
(* -1/2 (/ B (- C A))) |
(* -1/2 (/ B (- C A))) |
(* -1/2 (/ B (- C A))) |
(* -1/2 (/ B (- C A))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(sqrt (+ (pow A 2) (pow B 2))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* C (+ (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (* 1/2 (* (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* C (+ (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (* C (+ (* 1/2 (* (sqrt (/ 1 (+ (pow A 2) (pow B 2)))) (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (* 1/2 (* (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3)))))))))) |
C |
(* C (+ 1 (* -1 (/ A C)))) |
(* C (+ 1 (+ (* -1 (/ A C)) (* 1/2 (/ (pow B 2) (pow C 2)))))) |
(* C (+ 1 (+ (* -1 (/ A C)) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 3))) (* 1/2 (/ (pow B 2) (pow C 2))))))) |
(* -1 C) |
(* -1 (* C (+ 1 (* -1 (/ A C))))) |
(* -1 (* C (+ 1 (* -1 (/ (+ A (* -1/2 (/ (pow B 2) C))) C))))) |
(* -1 (* C (+ 1 (* -1 (/ (+ A (* -1 (/ (+ (* 1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C))) C))))) |
(sqrt (+ (pow B 2) (pow C 2))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* A (+ (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (* 1/2 (* (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* A (+ (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (* A (+ (* 1/2 (* (sqrt (/ 1 (+ (pow B 2) (pow C 2)))) (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (* 1/2 (* (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3)))))))))) |
A |
(* A (+ 1 (* -1 (/ C A)))) |
(* A (+ 1 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2)))))) |
(* A (+ 1 (+ (* -1 (/ C A)) (+ (* 1/2 (/ (* (pow B 2) C) (pow A 3))) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(* -1 A) |
(* -1 (* A (+ 1 (* -1 (/ C A))))) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1/2 (/ (pow B 2) A))) A))))) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1 (/ (+ (* 1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A))) A))))) |
(- C A) |
(- (+ C (* 1/2 (/ (pow B 2) (- C A)))) A) |
(- (+ C (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A)))))) A) |
(- (+ C (* (pow B 2) (+ (* (pow B 2) (- (* 1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A)))))) A) |
B |
(* B (+ 1 (* 1/2 (/ (pow (- C A) 2) (pow B 2))))) |
(* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))) |
(* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (+ (* 1/16 (/ (pow (- C A) 6) (pow B 6))) (* 1/2 (/ (pow (- C A) 2) (pow B 2))))))) |
(* -1 B) |
(* -1 (* B (+ 1 (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (* 1/2 (/ (pow (- C A) 2) (pow B 2))))))) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (+ (* 1/16 (/ (pow (- C A) 6) (pow B 6))) (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))))) |
(* -1 (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(- (* C (- 1 (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(- (* C (- (+ 1 (* -1/2 (* (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(- (* C (- (+ 1 (* C (- (* -1/2 (* (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow A 2) (pow B 2)))) (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(* -1 (+ A (* -1 A))) |
(- (* -1/2 (/ (pow B 2) C)) (+ A (* -1 A))) |
(- (* -1/2 (/ (* A (pow B 2)) (pow C 2))) (+ A (+ (* -1 A) (* 1/2 (/ (pow B 2) C))))) |
(- (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (pow C 3))) (+ A (+ (* -1 A) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 2))) (* 1/2 (/ (pow B 2) C)))))) |
(* 2 C) |
(* -1 (* C (- (* 2 (/ A C)) 2))) |
(* -1 (* C (- (* -1 (/ (- (* 1/2 (/ (pow B 2) C)) (* 2 A)) C)) 2))) |
(* -1 (* C (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C)) (* 2 A)) C)) 2))) |
(- C (sqrt (+ (pow B 2) (pow C 2)))) |
(- (+ C (* -1 (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(- (+ C (* A (- (* -1/2 (* (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(- (+ C (* A (- (* A (- (* -1/2 (* (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow B 2) (pow C 2)))) (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(* -2 A) |
(* A (- (/ C A) (+ 2 (* -1 (/ C A))))) |
(* A (- (+ (* -1/2 (/ (pow B 2) (pow A 2))) (/ C A)) (+ 2 (* -1 (/ C A))))) |
(* A (- (+ (* -1/2 (/ (* (pow B 2) C) (pow A 3))) (/ C A)) (+ 2 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(* 1/2 (/ (pow B 2) A)) |
(* -1 (/ (- (* -1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A)) |
(* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) A)) (* -1/2 (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(* -1/2 (/ (pow B 2) (- C A))) |
(* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A))))) |
(* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(* (pow B 2) (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow (- C A) 7))) (* 1/16 (/ 1 (pow (- C A) 5))))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(* -1 B) |
(* B (- (/ C B) (+ 1 (/ A B)))) |
(* B (- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B)))) |
(* B (- (+ (* 1/8 (/ (pow (- C A) 4) (pow B 4))) (/ C B)) (+ 1 (+ (* 1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B))))) |
B |
(* -1 (* B (- (* -1 (/ (- C A) B)) 1))) |
(* -1 (* B (- (* -1 (/ (- (+ C (* 1/2 (/ (pow (- C A) 2) B))) A) B)) 1))) |
(* -1 (* B (- (* -1 (/ (- (+ C (* -1 (/ (- (* 1/8 (/ (pow (- C A) 4) (pow B 2))) (* 1/2 (pow (- C A) 2))) B))) A) B)) 1))) |
(* -2 (/ (- C A) B)) |
(/ (+ (* -2 (- C A)) (* -1/2 (/ (pow B 2) (- C A)))) B) |
(/ (+ (* -2 (- C A)) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A)))))) B) |
(/ (+ (* -2 (- C A)) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A)))))) B) |
-1 |
(- (/ A B) (+ 1 (/ C B))) |
(- (+ (* -1 (/ (+ (* -1 (* (- A C) (- C A))) (* -1/2 (pow (- C A) 2))) (pow B 2))) (/ A B)) (+ 1 (/ C B))) |
(- (+ (* -1 (/ (+ (* 1/2 (* (- A C) (pow (- C A) 2))) (* (+ (* -1 (* (- A C) (- C A))) (* -1/2 (pow (- C A) 2))) (- C A))) (pow B 3))) (/ A B)) (+ 1 (+ (* -1 (/ (* (- A C) (- C A)) (pow B 2))) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ C B))))) |
1 |
(+ 1 (* -1 (/ (- C A) B))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (- C A) 2) B)) (* 1/2 (/ (pow (- C A) 2) B))) (* -1 (- C A))) B))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (pow (- C A) 3) B)) (/ (* (+ (* -1 (pow (- C A) 2)) (* 1/2 (pow (- C A) 2))) (- C A)) B)) (+ (* -1 (pow (- C A) 2)) (* 1/2 (pow (- C A) 2)))) B)) (* -1 (- C A))) B))) |
(* -1 (/ B (+ A (sqrt (+ (pow A 2) (pow B 2)))))) |
(+ (* -1 (/ B (+ A (sqrt (+ (pow A 2) (pow B 2)))))) (* -1 (/ (* B (* C (- 1 (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) (pow (+ A (sqrt (+ (pow A 2) (pow B 2)))) 2)))) |
(+ (* -1 (/ B (+ A (sqrt (+ (pow A 2) (pow B 2)))))) (* C (- (* -1 (* C (+ (* -1/2 (* (/ (* B (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (pow (+ A (sqrt (+ (pow A 2) (pow B 2)))) 2)) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ (* B (pow (- 1 (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) 2)) (pow (+ A (sqrt (+ (pow A 2) (pow B 2)))) 3))))) (/ (* B (- 1 (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (pow (+ A (sqrt (+ (pow A 2) (pow B 2)))) 2))))) |
(+ (* -1 (/ B (+ A (sqrt (+ (pow A 2) (pow B 2)))))) (* C (- (* C (- (* -1 (* C (+ (* -1/2 (* (/ (* A (* B (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (pow (+ A (sqrt (+ (pow A 2) (pow B 2)))) 2)) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (+ (* -1/2 (* (/ (* B (* (- 1 (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (pow (+ A (sqrt (+ (pow A 2) (pow B 2)))) 3)) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ (* (+ (* -1/2 (* (/ (* B (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (pow (+ A (sqrt (+ (pow A 2) (pow B 2)))) 2)) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ (* B (pow (- 1 (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) 2)) (pow (+ A (sqrt (+ (pow A 2) (pow B 2)))) 3))) (- 1 (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))))))) (+ (* -1/2 (* (/ (* B (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (pow (+ A (sqrt (+ (pow A 2) (pow B 2)))) 2)) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ (* B (pow (- 1 (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) 2)) (pow (+ A (sqrt (+ (pow A 2) (pow B 2)))) 3))))) (/ (* B (- 1 (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (pow (+ A (sqrt (+ (pow A 2) (pow B 2)))) 2))))) |
(* -1 (/ B (+ A (* -1 A)))) |
(+ (* -1 (/ B (+ A (* -1 A)))) (* 1/2 (/ (pow B 3) (* C (pow (+ A (* -1 A)) 2))))) |
(- (+ (* -1 (/ B (+ A (* -1 A)))) (* -1 (/ (+ (* -1/2 (/ (* A (pow B 3)) (pow (+ A (* -1 A)) 2))) (* 1/4 (/ (pow B 5) (pow (+ A (* -1 A)) 3)))) (pow C 2)))) (* -1/2 (/ (pow B 3) (* C (pow (+ A (* -1 A)) 2))))) |
(- (+ (* -1 (/ B (+ A (* -1 A)))) (* -1 (/ (+ (* -1/2 (/ (* (pow B 2) (+ (* -1/2 (/ (* A (pow B 3)) (pow (+ A (* -1 A)) 2))) (* 1/4 (/ (pow B 5) (pow (+ A (* -1 A)) 3))))) (+ A (* -1 A)))) (+ (* 1/4 (/ (* A (pow B 5)) (pow (+ A (* -1 A)) 3))) (* 1/2 (/ (* B (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4)))) (pow (+ A (* -1 A)) 2))))) (pow C 3)))) (+ (* -1/2 (/ (* A (pow B 3)) (* (pow C 2) (pow (+ A (* -1 A)) 2)))) (+ (* -1/2 (/ (pow B 3) (* C (pow (+ A (* -1 A)) 2)))) (* 1/4 (/ (pow B 5) (* (pow C 2) (pow (+ A (* -1 A)) 3))))))) |
(* 1/2 (/ B C)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow A 2) B)) (* 1/8 (pow B 3))) C)) (* 1/2 (* A B))) C)) (* -1/2 B)) C)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* A (+ (* -1/2 (* (pow A 2) B)) (* 1/8 (pow B 3))))) (* -1/4 (* A (pow B 3)))) C)) (+ (* -1/2 (* (pow A 2) B)) (* 1/8 (pow B 3)))) C)) (* 1/2 (* A B))) C)) (* -1/2 B)) C)) |
(/ B (- C (sqrt (+ (pow B 2) (pow C 2))))) |
(+ (/ B (- C (sqrt (+ (pow B 2) (pow C 2))))) (/ (* A (* B (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))))) (pow (- C (sqrt (+ (pow B 2) (pow C 2)))) 2))) |
(+ (* A (- (* -1 (* A (+ (* -1 (/ (* B (pow (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) 2)) (pow (- C (sqrt (+ (pow B 2) (pow C 2)))) 3))) (* -1/2 (* (/ (* B (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (pow (- C (sqrt (+ (pow B 2) (pow C 2)))) 2)) (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))))) (* -1 (/ (* B (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) (pow (- C (sqrt (+ (pow B 2) (pow C 2)))) 2))))) (/ B (- C (sqrt (+ (pow B 2) (pow C 2)))))) |
(+ (* A (- (* A (- (* -1 (* A (+ (* -1/2 (* (/ (* B (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (pow (- C (sqrt (+ (pow B 2) (pow C 2)))) 2)) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (+ (* -1/2 (* (/ (* B (* (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (pow (- C (sqrt (+ (pow B 2) (pow C 2)))) 3)) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (/ (* (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) (+ (* -1 (/ (* B (pow (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) 2)) (pow (- C (sqrt (+ (pow B 2) (pow C 2)))) 3))) (* -1/2 (* (/ (* B (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (pow (- C (sqrt (+ (pow B 2) (pow C 2)))) 2)) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) (- C (sqrt (+ (pow B 2) (pow C 2))))))))) (+ (* -1 (/ (* B (pow (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) 2)) (pow (- C (sqrt (+ (pow B 2) (pow C 2)))) 3))) (* -1/2 (* (/ (* B (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (pow (- C (sqrt (+ (pow B 2) (pow C 2)))) 2)) (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))))) (* -1 (/ (* B (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) (pow (- C (sqrt (+ (pow B 2) (pow C 2)))) 2))))) (/ B (- C (sqrt (+ (pow B 2) (pow C 2)))))) |
(* -1/2 (/ B A)) |
(/ (+ (* -1/2 B) (* -1/4 (/ (* B (- C (* -1 C))) A))) A) |
(/ (- (+ (* -1 (/ (+ (* -1/8 (pow B 3)) (* 1/8 (* B (pow (- C (* -1 C)) 2)))) (pow A 2))) (* -1/2 B)) (* 1/4 (/ (* B (- C (* -1 C))) A))) A) |
(/ (- (+ (* -1 (/ (+ (* -1/8 (* (pow B 3) C)) (+ (* -1/16 (* (pow B 3) (- C (* -1 C)))) (* 1/2 (* (+ (* -1/8 (pow B 3)) (* 1/8 (* B (pow (- C (* -1 C)) 2)))) (- C (* -1 C)))))) (pow A 3))) (* -1/2 B)) (+ (* -1/8 (/ (pow B 3) (pow A 2))) (+ (* 1/8 (/ (* B (pow (- C (* -1 C)) 2)) (pow A 2))) (* 1/4 (/ (* B (- C (* -1 C))) A))))) A) |
(* 2 (/ A B)) |
(* -1 (* A (- (* 2 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* -1 (* A (- (* -1 (/ (- (+ (* 2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A (pow B 3)))) (* 2 (/ (pow C 2) (* A B)))) (* 2 (/ C B))) A)) (* 2 (/ 1 B))))) |
(* -1 (* A (- (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4)))) (* A (pow B 3)))) (+ (* 2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A (pow B 3)))) (/ (* C (+ (* 2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (pow B 3))) (* 2 (/ (pow C 2) B)))) A))) (+ (* 2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (pow B 3))) (* 2 (/ (pow C 2) B)))) A)) (* 2 (/ C B))) A)) (* 2 (/ 1 B))))) |
-1 |
(- (* -1 (/ A B)) 1) |
(- (* A (- (* -1/2 (/ A (pow B 2))) (/ 1 B))) 1) |
(- (* A (- (* A (- (* 1/8 (/ (pow A 2) (pow B 4))) (* 1/2 (/ 1 (pow B 2))))) (/ 1 B))) 1) |
(* -2 (/ A B)) |
(* A (- (* -1/2 (/ B (pow A 2))) (* 2 (/ 1 B)))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (* 1/8 (/ (pow B 3) (pow A 4)))) (* 2 (/ 1 B)))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/16 (/ (pow B 5) (pow A 6))) (* 1/8 (/ (pow B 3) (pow A 4))))) (* 2 (/ 1 B)))) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* 1/8 (/ (pow B 3) (pow A 2)))) A)) |
(* -1 (/ (+ (* -1/2 B) (+ (* -1/16 (/ (pow B 5) (pow A 4))) (* 1/8 (/ (pow B 3) (pow A 2))))) A)) |
(* -1 (/ (+ (* -1/2 B) (+ (* -1/16 (/ (pow B 5) (pow A 4))) (+ (* 1/8 (/ (pow B 3) (pow A 2))) (* 1/2 (/ (+ (* 1/64 (pow B 8)) (* 1/16 (pow B 8))) (* (pow A 6) B)))))) A)) |
(* -2 (/ A B)) |
(/ (+ (* -2 A) (* -1/2 (/ (pow B 2) A))) B) |
(/ (+ (* -2 A) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow A 3))) (* 1/2 (/ 1 A))))) B) |
(/ (+ (* -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))))) B) |
-1 |
(- (* -1 (/ A B)) 1) |
(- (+ (* -1 (/ A B)) (* -1/2 (/ (pow A 2) (pow B 2)))) 1) |
(- (+ (* -1 (/ A B)) (+ (* -1/2 (/ (pow A 2) (pow B 2))) (* 1/8 (/ (pow A 4) (pow B 4))))) 1) |
1 |
(+ 1 (* -1 (/ A B))) |
(+ 1 (* -1 (/ (+ A (* -1/2 (/ (pow A 2) B))) B))) |
(+ 1 (* -1 (/ (+ A (* -1 (/ (+ (* -1/8 (/ (pow A 4) (pow B 2))) (* 1/2 (pow A 2))) B))) B))) |
(* -1/2 (/ B (- C A))) |
(* B (- (* 1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A))))) |
(* B (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(* B (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow (- C A) 7))) (* 1/16 (/ 1 (pow (- C A) 5))))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
-1 |
(- (/ C B) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- C A) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
1 |
(- (+ 1 (/ C B)) (/ A B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- C A) 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- C A) 4) (pow B 2))) (* 1/2 (pow (- C A) 2))) B))) B))) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(* -1 (/ (+ A (* -1 A)) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B) |
(- (+ (* -1 (/ (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* -1/2 (* (/ (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* A (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) B) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(* -2 (/ A B)) |
(* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* -1/2 (/ B (- C A))) |
(* B (- (* 1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A))))) |
(* B (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(* B (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow (- C A) 7))) (* 1/16 (/ 1 (pow (- C A) 5))))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
-1 |
(- (/ C B) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- C A) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
1 |
(- (+ 1 (/ C B)) (/ A B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- C A) 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- C A) 4) (pow B 2))) (* 1/2 (pow (- C A) 2))) B))) B))) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(* -1 (/ (+ A (* -1 A)) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B) |
(- (+ (* -1 (/ (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* -1/2 (* (/ (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* A (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) B) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(* -2 (/ A B)) |
(* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) 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)))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B))) |
| Outputs |
|---|
(* -1/2 (/ B (- C A))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))) |
(* B (- (* 1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A))))) |
(*.f64 B (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 B B) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A)))) (/.f64 #s(literal -1/2 binary64) (-.f64 C A)))) |
(* B (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(*.f64 B (fma.f64 (*.f64 B B) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 B B) (pow.f64 (-.f64 C A) #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))))) (/.f64 #s(literal -1/2 binary64) (-.f64 C A)))) |
(* B (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow (- C A) 7))) (* 1/16 (/ 1 (pow (- C A) 5))))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 #s(literal 5/128 binary64) (/.f64 (*.f64 B B) (pow.f64 (-.f64 C A) #s(literal 7 binary64))) (/.f64 #s(literal -1/16 binary64) (pow.f64 (-.f64 C A) #s(literal 5 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))))) (/.f64 #s(literal -1/2 binary64) (-.f64 C A)))) |
-1 |
#s(literal -1 binary64) |
(- (/ C B) (+ 1 (/ A B))) |
(-.f64 (/.f64 C B) (+.f64 #s(literal 1 binary64) (/.f64 A B))) |
(- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 B B)) (/.f64 C B)) (+.f64 #s(literal 1 binary64) (/.f64 A B))) |
(- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- C A) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
(-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 B B)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 C A) #s(literal 4 binary64)) (pow.f64 B #s(literal 4 binary64))) (/.f64 C B))) (+.f64 #s(literal 1 binary64) (/.f64 A B))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ C B)) (/ A B)) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- C A) 2) B))) B))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 C A) (-.f64 C A))) B) (-.f64 C A)) B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- C A) 4) (pow B 2))) (* 1/2 (pow (- C A) 2))) B))) B))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (-.f64 C A)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (-.f64 C A) #s(literal 4 binary64)) (*.f64 B B)) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 C A) (-.f64 C A)))) B)) B)) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(/.f64 (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 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 C (+.f64 (/.f64 #s(literal 1 binary64) B) (*.f64 (/.f64 A B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))))) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 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 C (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 C (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (fma.f64 B B (*.f64 A A)))))) B) (+.f64 (/.f64 #s(literal 1 binary64) B) (*.f64 (/.f64 A B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A))))))) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 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 C (fma.f64 C (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 C A) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (fma.f64 B B (*.f64 A A))))) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 B B (*.f64 A A)) (*.f64 (fma.f64 B B (*.f64 A A)) (fma.f64 B B (*.f64 A A)))))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (fma.f64 B B (*.f64 A A))))) B))) (+.f64 (/.f64 #s(literal 1 binary64) B) (*.f64 (/.f64 A B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A))))))) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))) (neg.f64 B))) |
(* -1 (/ (+ A (* -1 A)) B)) |
(/.f64 #s(literal 0 binary64) B) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 B C) (/.f64 #s(literal 0 binary64) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 A (/.f64 B (*.f64 C C)) (/.f64 B C)) (/.f64 #s(literal 0 binary64) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 A (/.f64 B (*.f64 C C)) (/.f64 B C)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 A A) (neg.f64 (*.f64 B B)) (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64))) (*.f64 B (*.f64 C (*.f64 C C)))) (/.f64 #s(literal 0 binary64) B))) |
(* 2 (/ C B)) |
(/.f64 (+.f64 C C) B) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 A (*.f64 B C)) (/.f64 #s(literal -2 binary64) B)) (neg.f64 C)) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 B C) (/.f64 (*.f64 A #s(literal -2 binary64)) B)) C)) (/.f64 #s(literal -2 binary64) B)) (neg.f64 C)) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 A #s(literal -2 binary64)) B) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 A (/.f64 B C) B)) C)) (neg.f64 C)) (/.f64 #s(literal -2 binary64) B)) (neg.f64 C)) |
(/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B) |
(/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B) |
(- (+ (* -1 (/ (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(fma.f64 A (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) (neg.f64 C) #s(literal 1 binary64)) (neg.f64 B)) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* -1/2 (* (/ (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(fma.f64 A (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 A (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C)))))) B) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) (neg.f64 C) #s(literal 1 binary64)) (neg.f64 B))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* A (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) B) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(fma.f64 A (fma.f64 A (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 C A) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C))))) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 B B (*.f64 C C)) (*.f64 (fma.f64 B B (*.f64 C C)) (fma.f64 B B (*.f64 C C)))))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C))))) B))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) (neg.f64 C) #s(literal 1 binary64)) (neg.f64 B))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) |
(* -2 (/ A B)) |
(/.f64 (*.f64 A #s(literal -2 binary64)) B) |
(* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(*.f64 A (-.f64 (/.f64 C (*.f64 B A)) (-.f64 (/.f64 #s(literal 2 binary64) B) (/.f64 C (*.f64 B A))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(*.f64 A (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 C (*.f64 B A))) (-.f64 (/.f64 #s(literal 2 binary64) B) (/.f64 C (*.f64 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 A (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 B (*.f64 A A)) (/.f64 (*.f64 B C) (*.f64 A (*.f64 A A)))) (-.f64 (/.f64 C (*.f64 B A)) (-.f64 (/.f64 #s(literal 2 binary64) B) (/.f64 C (*.f64 B A)))))) |
(* 1/2 (/ B A)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 B A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 C A) B)) (neg.f64 A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 C C) (neg.f64 (*.f64 B B)) (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64))) (*.f64 B A)) (*.f64 #s(literal 1/2 binary64) (*.f64 B C))) 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 (-.f64 (*.f64 #s(literal -1/2 binary64) B) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 B C)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 C C) (neg.f64 (*.f64 B B)) (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64))) B) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 C (pow.f64 B #s(literal 4 binary64))) (*.f64 (fma.f64 (*.f64 C C) (neg.f64 (*.f64 B B)) (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64))) (neg.f64 C))) (*.f64 B A)))) A)) A)) (neg.f64 A)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
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(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B))) (PI.f64)) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (+.f64 (-.f64 A C) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) (neg.f64 B)))) (PI.f64)) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (+.f64 (-.f64 A C) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) (neg.f64 B)))) (PI.f64)) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (+.f64 (-.f64 A C) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) (neg.f64 B)))) (PI.f64)) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (+.f64 (-.f64 A C) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) (neg.f64 B)))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B))) (PI.f64)) |
(sqrt (+ (pow A 2) (pow B 2))) |
(sqrt.f64 (fma.f64 B B (*.f64 A A))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) |
(-.f64 (sqrt.f64 (fma.f64 B B (*.f64 A A))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (*.f64 C A))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* C (+ (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (* 1/2 (* (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(fma.f64 C (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 C (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (fma.f64 B B (*.f64 A A))))) (neg.f64 A))) (sqrt.f64 (fma.f64 B B (*.f64 A A)))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* C (+ (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (* C (+ (* 1/2 (* (sqrt (/ 1 (+ (pow A 2) (pow B 2)))) (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (* 1/2 (* (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3)))))))))) |
(fma.f64 C (fma.f64 C (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (*.f64 C A) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (fma.f64 B B (*.f64 A A))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 B B (*.f64 A A)) (*.f64 (fma.f64 B B (*.f64 A A)) (fma.f64 B B (*.f64 A A)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (fma.f64 B B (*.f64 A A))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (neg.f64 A))) (sqrt.f64 (fma.f64 B B (*.f64 A A)))) |
C |
(* C (+ 1 (* -1 (/ A C)))) |
(fma.f64 C (/.f64 A (neg.f64 C)) C) |
(* C (+ 1 (+ (* -1 (/ A C)) (* 1/2 (/ (pow B 2) (pow C 2)))))) |
(fma.f64 C (-.f64 (/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) (*.f64 C C)) (/.f64 A C)) C) |
(* C (+ 1 (+ (* -1 (/ A C)) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 3))) (* 1/2 (/ (pow B 2) (pow C 2))))))) |
(fma.f64 C (-.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 A (/.f64 (*.f64 B B) (*.f64 C (*.f64 C C))) (/.f64 (*.f64 B B) (*.f64 C C)))) (/.f64 A C)) C) |
(* -1 C) |
(neg.f64 C) |
(* -1 (* C (+ 1 (* -1 (/ A C))))) |
(neg.f64 (fma.f64 C (/.f64 A (neg.f64 C)) C)) |
(* -1 (* C (+ 1 (* -1 (/ (+ A (* -1/2 (/ (pow B 2) C))) C))))) |
(neg.f64 (fma.f64 C (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) C) A) (neg.f64 C)) C)) |
(* -1 (* C (+ 1 (* -1 (/ (+ A (* -1 (/ (+ (* 1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C))) C))))) |
(neg.f64 (fma.f64 C (/.f64 (-.f64 A (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 A (/.f64 (*.f64 B B) C) (*.f64 B B))) C)) (neg.f64 C)) C)) |
(sqrt (+ (pow B 2) (pow C 2))) |
(sqrt.f64 (fma.f64 B B (*.f64 C C))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) |
(-.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) (*.f64 C A))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* A (+ (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (* 1/2 (* (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))))) |
(fma.f64 A (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 A (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C))))) (neg.f64 C))) (sqrt.f64 (fma.f64 B B (*.f64 C C)))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* A (+ (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (* A (+ (* 1/2 (* (sqrt (/ 1 (+ (pow B 2) (pow C 2)))) (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (* 1/2 (* (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3)))))))))) |
(fma.f64 A (fma.f64 A (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C)))) (*.f64 (*.f64 (*.f64 C A) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 B B (*.f64 C C)) (*.f64 (fma.f64 B B (*.f64 C C)) (fma.f64 B B (*.f64 C C))))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) (neg.f64 C))) (sqrt.f64 (fma.f64 B B (*.f64 C C)))) |
A |
(* A (+ 1 (* -1 (/ C A)))) |
(fma.f64 A (/.f64 C (neg.f64 A)) A) |
(* A (+ 1 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2)))))) |
(fma.f64 A (-.f64 (/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) (*.f64 A A)) (/.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))))))) |
(fma.f64 A (-.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 B B) (/.f64 C (*.f64 A (*.f64 A A))) (/.f64 (*.f64 B B) (*.f64 A A)))) (/.f64 C A)) A) |
(* -1 A) |
(neg.f64 A) |
(* -1 (* A (+ 1 (* -1 (/ C A))))) |
(neg.f64 (fma.f64 A (/.f64 C (neg.f64 A)) A)) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1/2 (/ (pow B 2) A))) A))))) |
(neg.f64 (fma.f64 A (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) A) C) (neg.f64 A)) A)) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1 (/ (+ (* 1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A))) A))))) |
(neg.f64 (fma.f64 A (/.f64 (-.f64 C (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 B B (/.f64 (*.f64 C (*.f64 B B)) A))) A)) (neg.f64 A)) A)) |
(- C A) |
(-.f64 C A) |
(- (+ C (* 1/2 (/ (pow B 2) (- C A)))) A) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 B B) (-.f64 C A)) (-.f64 C A)) |
(- (+ C (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A)))))) A) |
(fma.f64 (*.f64 B B) (fma.f64 (/.f64 (*.f64 B B) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A)))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) (-.f64 A C))) (-.f64 C A)) |
(- (+ C (* (pow B 2) (+ (* (pow B 2) (- (* 1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A)))))) A) |
(-.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (/.f64 (*.f64 B B) (pow.f64 (-.f64 C A) #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))))) (/.f64 #s(literal -1/2 binary64) (-.f64 A C))) C) A) |
B |
(* B (+ 1 (* 1/2 (/ (pow (- C A) 2) (pow B 2))))) |
(fma.f64 B (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 B B)) B) |
(* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))) |
(fma.f64 B (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 B B)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 C A) #s(literal 4 binary64))) (pow.f64 B #s(literal 4 binary64)))) B) |
(* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (+ (* 1/16 (/ (pow (- C A) 6) (pow B 6))) (* 1/2 (/ (pow (- C A) 2) (pow B 2))))))) |
(fma.f64 B (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 B B)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (-.f64 C A) #s(literal 6 binary64)) (pow.f64 B #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 C A) #s(literal 4 binary64))) (pow.f64 B #s(literal 4 binary64))))) B) |
(* -1 B) |
(neg.f64 B) |
(* -1 (* B (+ 1 (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))) |
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(* -2 A) |
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B |
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-1 |
#s(literal -1 binary64) |
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1 |
#s(literal 1 binary64) |
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(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(* (sqrt (/ 1 (PI))) (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B)))) |
(*.f64 (atan.f64 (/.f64 (+.f64 (-.f64 A C) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) (neg.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(* (sqrt (/ 1 (PI))) (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B)))) |
(*.f64 (atan.f64 (/.f64 (+.f64 (-.f64 A C) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) (neg.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(* (sqrt (/ 1 (PI))) (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B)))) |
(*.f64 (atan.f64 (/.f64 (+.f64 (-.f64 A C) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) (neg.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(* (sqrt (/ 1 (PI))) (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B)))) |
(*.f64 (atan.f64 (/.f64 (+.f64 (-.f64 A C) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) (neg.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(* (sqrt (/ 1 (PI))) (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C 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 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C 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 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C 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 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C 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 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
| 4 354× | lower-*.f32 |
| 4 338× | lower-*.f64 |
| 4 208× | lower-/.f32 |
| 4 184× | lower-/.f64 |
| 2 526× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 618 |
| 0 | 99 | 600 |
| 1 | 358 | 562 |
| 2 | 2473 | 562 |
| 0 | 8757 | 427 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))))) (PI.f64))) |
(/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))))) (PI.f64)) |
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 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(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) #s(literal 1 binary64)))) (PI.f64))) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) #s(literal 1 binary64)))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) #s(literal 1 binary64)))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) #s(literal 1 binary64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 A #s(literal -2 binary64)) B))) (PI.f64))) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 A #s(literal -2 binary64)) B))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 A #s(literal -2 binary64)) B))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 A #s(literal -2 binary64)) B)) |
(/.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 C A) B)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64))) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) |
(atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 C A) B)))) |
(*.f64 (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64))) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (sqrt.f64 (PI.f64)))) |
(/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64))) |
(sqrt.f64 (PI.f64)) |
(PI.f64) |
(sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) |
(-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) |
(/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) |
#s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) #s(literal 1 binary64)) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 C A) B))) |
#s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A)))) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (sqrt.f64 (PI.f64))) |
| Outputs |
|---|
(+.f64 (/.f64 (-.f64 C A) B) (*.f64 (/.f64 #s(literal 1 binary64) B) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
(+.f64 (/.f64 (-.f64 C A) B) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (/.f64 #s(literal 1 binary64) B))) |
(exp.f64 (*.f64 (log.f64 (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) B)) |
(-.f64 (/.f64 C B) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B) (*.f64 (/.f64 #s(literal 1 binary64) B) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (/.f64 #s(literal 1 binary64) B))) |
(fma.f64 (-.f64 C A) (/.f64 #s(literal 1 binary64) B) (*.f64 (/.f64 #s(literal 1 binary64) B) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
(fma.f64 (-.f64 C A) (/.f64 #s(literal 1 binary64) B) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (/.f64 #s(literal 1 binary64) B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C A) (*.f64 (/.f64 #s(literal 1 binary64) B) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C A) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (/.f64 #s(literal 1 binary64) B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) B) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 C A)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) B) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) B) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 C A)) #s(literal -1 binary64)) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (/.f64 #s(literal 1 binary64) B))) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 B (neg.f64 (-.f64 C A))) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) B) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 B (neg.f64 (-.f64 C A))) #s(literal -1 binary64)) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (/.f64 #s(literal 1 binary64) B))) |
(fma.f64 (neg.f64 (-.f64 C A)) (/.f64 #s(literal -1 binary64) B) (*.f64 (/.f64 #s(literal 1 binary64) B) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
(fma.f64 (neg.f64 (-.f64 C A)) (/.f64 #s(literal -1 binary64) B) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (/.f64 #s(literal 1 binary64) B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) B) (neg.f64 (-.f64 C A)) (*.f64 (/.f64 #s(literal 1 binary64) B) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) B) (neg.f64 (-.f64 C A)) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (/.f64 #s(literal 1 binary64) B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) B) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 C A))) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) B) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) B) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 C A))) #s(literal -1 binary64)) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (/.f64 #s(literal 1 binary64) B))) |
(fma.f64 (*.f64 (-.f64 C A) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) B) (*.f64 (/.f64 #s(literal 1 binary64) B) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
(fma.f64 (*.f64 (-.f64 C A) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) B) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (/.f64 #s(literal 1 binary64) B))) |
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 C A)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) B) (*.f64 (/.f64 #s(literal 1 binary64) B) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 C A)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) B) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (/.f64 #s(literal 1 binary64) B))) |
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 C A))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) B) (*.f64 (/.f64 #s(literal 1 binary64) B) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 C A))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) B) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (/.f64 #s(literal 1 binary64) B))) |
(fma.f64 (pow.f64 (/.f64 B (*.f64 (fma.f64 C C (*.f64 A (+.f64 C A))) (-.f64 C A))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 A (+.f64 C A)))) (*.f64 (/.f64 #s(literal 1 binary64) B) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
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(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B) |
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(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) B) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
#s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) #s(literal 1 binary64)) |
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(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (PI.f64)) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A)))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (sqrt.f64 (PI.f64)) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))))))) |
(/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (sqrt.f64 (PI.f64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (PI.f64)) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A)))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (sqrt.f64 (PI.f64)) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A)))))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A)))))) (neg.f64 (sqrt.f64 (PI.f64)))) |
(/.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) #s(literal 1 binary64)) (sqrt.f64 (PI.f64))) |
(/.f64 (neg.f64 (neg.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))))) (neg.f64 (neg.f64 (sqrt.f64 (PI.f64))))) |
(/.f64 (neg.f64 (*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (PI.f64)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A)))))))) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))))) |
(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (sqrt.f64 (PI.f64)) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A)))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (sqrt.f64 (PI.f64)))) |
(*.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) |
(*.f64 (neg.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (PI.f64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 #s(literal 1 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A)))))) #s(literal -1 binary64))) |
Compiled 49 776 to 4 941 computations (90.1% saved)
35 alts after pruning (26 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 815 | 14 | 1 829 |
| Fresh | 8 | 12 | 20 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 6 | 6 |
| Total | 1 825 | 35 | 1 860 |
| Status | Accuracy | Program |
|---|---|---|
| 34.9% | (/.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/180 binary64))) | |
| 34.9% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A)))))) (PI.f64)) | |
| 34.6% | (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A)))))))) | |
| 34.3% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A)))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/180 binary64)))) | |
| 34.7% | (*.f64 (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (cbrt.f64 (PI.f64)))) | |
| 31.9% | (*.f64 (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64))) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 C A) B)) (neg.f64 A)))) (sqrt.f64 (PI.f64)))) | |
| 36.3% | (*.f64 (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64))) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 B C) (/.f64 (*.f64 A #s(literal -2 binary64)) B)) C)) (/.f64 #s(literal -2 binary64) B)) (neg.f64 C)))) (sqrt.f64 (PI.f64)))) | |
| 34.9% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/180 binary64))) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (sqrt.f64 (PI.f64)))) | |
| 34.8% | (*.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A)))))) (/.f64 #s(literal 1 binary64) (PI.f64))) | |
| 34.6% | (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/180 binary64))) #s(literal -1 binary64))) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (sqrt.f64 (PI.f64)))) | |
| 30.6% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ B (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) (-.f64 C A)) (*.f64 (-.f64 C A) #s(literal -2 binary64))) B)))) (PI.f64))) | |
| 30.0% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ B (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))))) (PI.f64))) | |
| 44.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (/ 1 (/ B (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (PI.f64))) | |
| 22.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (/ 1 (/ B (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) (/.f64 (+.f64 C C) B))) (PI.f64))) | |
| 26.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (/ 1 (/ B (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) (PI.f64))) | |
| 26.6% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64)))) (PI.f64))) | |
| 36.0% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 (exp.f64 (log.f64 A)) B)) (neg.f64 B)))) (PI.f64))) | |
| ✓ | 62.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64))) |
| ✓ | 41.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B)))) (PI.f64))) |
| 27.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A #s(approx (sqrt (+ (* A A) (* B B))) (fma.f64 B (*.f64 B (/.f64 #s(literal 1/2 binary64) A)) A))) (neg.f64 B)))) (PI.f64))) | |
| ✓ | 21.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 A #s(literal -2 binary64)) B))) (PI.f64))) |
| 36.6% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 C A)) B))) (PI.f64))) | |
| 34.5% | (*.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 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 A C) (/.f64 (-.f64 A C) B)) (-.f64 A C)) B)))) (PI.f64))) | |
| 37.5% | (*.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 1 binary64) #s(approx (/ (- C A) B) (/.f64 C B))))) (PI.f64))) | |
| ✓ | 27.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)))))) (PI.f64))) |
| 36.6% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) (-.f64 #s(literal 1 binary64) (/.f64 A B))))) (PI.f64))) | |
| 38.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) (-.f64 #s(literal -1 binary64) (/.f64 A B))))) (PI.f64))) | |
| ✓ | 20.5% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) #s(literal 1 binary64)))) (PI.f64))) |
| ✓ | 12.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) |
| ✓ | 22.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
| 34.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 C A)) (/.f64 #s(literal 1 binary64) B)))) (PI.f64))) | |
| ✓ | 34.2% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64))) |
| 24.5% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) (*.f64 (+.f64 C A) (-.f64 C A))) (+.f64 C A)))) (PI.f64))) | |
| ✓ | 34.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (PI.f64))) |
| 26.6% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) #s(approx (/ -1/2 (/ (- C A) B)) (/.f64 (*.f64 #s(literal -1/2 binary64) B) C)))) (PI.f64))) |
Compiled 2 005 to 890 computations (55.6% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* A A) (* B B)))) (neg B)) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* A A) (* B B)))) (neg B)) (-.f64 #s(literal 1 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(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) (-.f64 #s(literal -1 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(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) (-.f64 #s(literal 1 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 #s(literal 1 binary64) #s(approx (/ (- C A) B) (/.f64 C B))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (/ 1 (/ B (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) (/.f64 (+.f64 C C) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) #s(approx (* -1/2 (/ B (- C A))) (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) #s(approx (/ -1/2 (/ (- C A) B)) (/.f64 (*.f64 #s(literal -1/2 binary64) B) 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))))) #s(approx (* A (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B)))) (/.f64 (*.f64 B #s(literal -1/2 binary64)) A)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 2 binary64) (/.f64 C B)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 A B)) (neg.f64 B)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal -2 binary64) A) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal 2 binary64) C) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 A #s(literal -2 binary64)) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (/ 1 (/ B (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 C A)) B))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A)))))) (PI.f64)) |
(*.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A)))))) (/.f64 #s(literal 1 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ B (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))))) (PI.f64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A)))))))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 B (/.f64 C A) B)) A))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) (*.f64 (+.f64 A C) (-.f64 C A))) (+.f64 A C)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) (*.f64 (+.f64 C A) (-.f64 C A))) (+.f64 C A)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (/ 1 (/ B (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 C A)) (/.f64 #s(literal 1 binary64) B)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B)))) (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 (*.f64 B B) #s(literal -1/2 binary64)) 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 (*.f64 B B) #s(literal 1/2 binary64)) A)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A #s(approx (sqrt (+ (* A A) (* B B))) (fma.f64 B (*.f64 B (/.f64 #s(literal 1/2 binary64) A)) A))) (neg.f64 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 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 A C) (/.f64 (-.f64 A C) B)) (-.f64 A C)) B)))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64))) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (sqrt.f64 (PI.f64)))) |
(/.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/180 binary64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ B (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) (-.f64 C A)) (*.f64 (-.f64 C A) #s(literal -2 binary64))) B)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/180 binary64))) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (sqrt.f64 (PI.f64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A)))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/180 binary64)))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) (*.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) (-.f64 C A))) (fma.f64 A (+.f64 A C) (*.f64 C C))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 B (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/8 binary64) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A)))) (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64))) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 C A) B)) (neg.f64 A)))) (sqrt.f64 (PI.f64)))) |
(/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (/.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 A (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 C (*.f64 B A))) (+.f64 (/.f64 C (*.f64 B A)) (/.f64 #s(literal -2 binary64) B)))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (fma.f64 (*.f64 (-.f64 C A) (+.f64 A C)) (/.f64 #s(literal 1 binary64) (+.f64 A C)) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) (*.f64 (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (fma.f64 (-.f64 A C) (neg.f64 (-.f64 A C)) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) (*.f64 (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) (neg.f64 B)))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64))) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 B C) (/.f64 (*.f64 A #s(literal -2 binary64)) B)) C)) (/.f64 #s(literal -2 binary64) B)) (neg.f64 C)))) (sqrt.f64 (PI.f64)))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 (*.f64 B #s(literal -1/2 binary64)) (/.f64 (fma.f64 B (*.f64 C #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 C (*.f64 (*.f64 B B) C)) (*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal -1/8 binary64))) (*.f64 B A))) A)) (neg.f64 A)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/4 binary64)) (*.f64 B (*.f64 B (*.f64 A A)))) (*.f64 B (*.f64 C (*.f64 C C)))) #s(literal 0 binary64))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (/.f64 (*.f64 B B) (pow.f64 (-.f64 C A) #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))))) (/.f64 #s(literal 1/2 binary64) (-.f64 A 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 B #s(literal -1/2 binary64)) (/.f64 (-.f64 (*.f64 B (*.f64 C #s(literal 1/2 binary64))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/4 binary64)) (*.f64 C (*.f64 (*.f64 B B) C))) (neg.f64 C) (*.f64 #s(literal -1/2 binary64) (*.f64 C (*.f64 (*.f64 B B) (*.f64 B B))))) (*.f64 B A)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 B B) (*.f64 B B)) (*.f64 #s(literal -1/2 binary64) (*.f64 C (*.f64 (*.f64 B B) C)))) B)) A)) A)) (neg.f64 A)))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (cbrt.f64 (PI.f64)))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
(*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/180 binary64))) #s(literal -1 binary64))) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (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 A (hypot.f64 (exp.f64 (log.f64 A)) B)) (neg.f64 B)))) (PI.f64))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ B (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) (-.f64 C A)) (*.f64 (-.f64 C A) #s(literal -2 binary64))) B)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64))) |
7 calls:
| 43.0ms | (/.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)) |
| 29.0ms | B |
| 28.0ms | (*.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)))))) |
| 26.0ms | (*.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))) |
| 20.0ms | A |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.1% | 2 | A |
| 79.9% | 1 | B |
| 83.1% | 2 | C |
| 92.8% | 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))) |
| 92.8% | 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)) |
| 92.8% | 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))))))) |
| 92.8% | 3 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
Compiled 105 to 74 computations (29.5% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* A A) (* B B)))) (neg B)) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* A A) (* B B)))) (neg B)) (-.f64 #s(literal 1 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(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) (-.f64 #s(literal -1 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(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) (-.f64 #s(literal 1 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 #s(literal 1 binary64) #s(approx (/ (- C A) B) (/.f64 C B))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (/ 1 (/ B (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) (/.f64 (+.f64 C C) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) #s(approx (* -1/2 (/ B (- C A))) (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) #s(approx (/ -1/2 (/ (- C A) B)) (/.f64 (*.f64 #s(literal -1/2 binary64) B) 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))))) #s(approx (* A (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B)))) (/.f64 (*.f64 B #s(literal -1/2 binary64)) A)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 2 binary64) (/.f64 C B)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 A B)) (neg.f64 B)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal -2 binary64) A) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal 2 binary64) C) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 A #s(literal -2 binary64)) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (/ 1 (/ B (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 C A)) B))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A)))))) (PI.f64)) |
(*.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A)))))) (/.f64 #s(literal 1 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ B (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))))) (PI.f64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A)))))))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 B (/.f64 C A) B)) A))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) (*.f64 (+.f64 A C) (-.f64 C A))) (+.f64 A C)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) (*.f64 (+.f64 C A) (-.f64 C A))) (+.f64 C A)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (/ 1 (/ B (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 C A)) (/.f64 #s(literal 1 binary64) B)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B)))) (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 (*.f64 B B) #s(literal -1/2 binary64)) 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 (*.f64 B B) #s(literal 1/2 binary64)) A)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A #s(approx (sqrt (+ (* A A) (* B B))) (fma.f64 B (*.f64 B (/.f64 #s(literal 1/2 binary64) A)) A))) (neg.f64 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 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 A C) (/.f64 (-.f64 A C) B)) (-.f64 A C)) B)))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64))) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (sqrt.f64 (PI.f64)))) |
(/.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/180 binary64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ B (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) (-.f64 C A)) (*.f64 (-.f64 C A) #s(literal -2 binary64))) B)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/180 binary64))) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (sqrt.f64 (PI.f64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A)))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/180 binary64)))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) (*.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) (-.f64 C A))) (fma.f64 A (+.f64 A C) (*.f64 C C))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 B (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/8 binary64) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A)))) (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64))) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 C A) B)) (neg.f64 A)))) (sqrt.f64 (PI.f64)))) |
(/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (/.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 A (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 C (*.f64 B A))) (+.f64 (/.f64 C (*.f64 B A)) (/.f64 #s(literal -2 binary64) B)))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (fma.f64 (*.f64 (-.f64 C A) (+.f64 A C)) (/.f64 #s(literal 1 binary64) (+.f64 A C)) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) (*.f64 (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (fma.f64 (-.f64 A C) (neg.f64 (-.f64 A C)) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) (*.f64 (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) (neg.f64 B)))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64))) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 B C) (/.f64 (*.f64 A #s(literal -2 binary64)) B)) C)) (/.f64 #s(literal -2 binary64) B)) (neg.f64 C)))) (sqrt.f64 (PI.f64)))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 (*.f64 B #s(literal -1/2 binary64)) (/.f64 (fma.f64 B (*.f64 C #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 C (*.f64 (*.f64 B B) C)) (*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal -1/8 binary64))) (*.f64 B A))) A)) (neg.f64 A)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/4 binary64)) (*.f64 B (*.f64 B (*.f64 A A)))) (*.f64 B (*.f64 C (*.f64 C C)))) #s(literal 0 binary64))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (hypot.f64 B A)) (neg.f64 B)))) (PI.f64))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ B (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) (-.f64 C A)) (*.f64 (-.f64 C A) #s(literal -2 binary64))) B)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 A C) (/.f64 (-.f64 A C) B)) (-.f64 A C)) B)))) (PI.f64))) |
4 calls:
| 16.0ms | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| 15.0ms | (*.f64 #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))) |
| 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))))))) |
| 14.0ms | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.0% | 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))) |
| 85.0% | 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)) |
| 85.0% | 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))))))) |
| 85.0% | 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 93 to 65 computations (30.1% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* A A) (* B B)))) (neg B)) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* A A) (* B B)))) (neg B)) (-.f64 #s(literal 1 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(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) (-.f64 #s(literal -1 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(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) (-.f64 #s(literal 1 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 #s(literal 1 binary64) #s(approx (/ (- C A) B) (/.f64 C B))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (/ 1 (/ B (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) (/.f64 (+.f64 C C) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) #s(approx (* -1/2 (/ B (- C A))) (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) #s(approx (/ -1/2 (/ (- C A) B)) (/.f64 (*.f64 #s(literal -1/2 binary64) B) 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))))) #s(approx (* A (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B)))) (/.f64 (*.f64 B #s(literal -1/2 binary64)) A)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 2 binary64) (/.f64 C B)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 A B)) (neg.f64 B)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal -2 binary64) A) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal 2 binary64) C) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 A #s(literal -2 binary64)) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (/ 1 (/ B (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 C A)) B))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A)))))) (PI.f64)) |
(*.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A)))))) (/.f64 #s(literal 1 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ B (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))))) (PI.f64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A)))))))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 B (/.f64 C A) B)) A))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) (*.f64 (+.f64 A C) (-.f64 C A))) (+.f64 A C)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) (*.f64 (+.f64 C A) (-.f64 C A))) (+.f64 C A)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (/ 1 (/ B (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 C A)) (/.f64 #s(literal 1 binary64) B)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B)))) (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 (*.f64 B B) #s(literal -1/2 binary64)) 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 (*.f64 B B) #s(literal 1/2 binary64)) A)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A #s(approx (sqrt (+ (* A A) (* B B))) (fma.f64 B (*.f64 B (/.f64 #s(literal 1/2 binary64) A)) A))) (neg.f64 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 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 A C) (/.f64 (-.f64 A C) B)) (-.f64 A C)) B)))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64))) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (sqrt.f64 (PI.f64)))) |
(/.f64 (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/180 binary64))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A)))))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 A C) (/.f64 (-.f64 A C) B)) (-.f64 A C)) B)))) (PI.f64))) |
4 calls:
| 15.0ms | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 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))) |
| 11.0ms | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| 11.0ms | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.8% | 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))) |
| 84.8% | 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)) |
| 84.8% | 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))))))) |
| 84.8% | 3 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
Compiled 93 to 65 computations (30.1% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* A A) (* B B)))) (neg B)) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* A A) (* B B)))) (neg B)) (-.f64 #s(literal 1 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(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) (-.f64 #s(literal -1 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(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) (-.f64 #s(literal 1 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 #s(literal 1 binary64) #s(approx (/ (- C A) B) (/.f64 C B))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (/ 1 (/ B (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) (/.f64 (+.f64 C C) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) #s(approx (* -1/2 (/ B (- C A))) (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) #s(approx (/ -1/2 (/ (- C A) B)) (/.f64 (*.f64 #s(literal -1/2 binary64) B) 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))))) #s(approx (* A (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B)))) (/.f64 (*.f64 B #s(literal -1/2 binary64)) A)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 2 binary64) (/.f64 C B)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 A B)) (neg.f64 B)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal -2 binary64) A) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal 2 binary64) C) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 A #s(literal -2 binary64)) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (/ 1 (/ B (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 C A)) B))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A)))))) (PI.f64)) |
(*.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A)))))) (/.f64 #s(literal 1 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ B (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))))) (PI.f64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A)))))))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 B (/.f64 C A) B)) A))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) (*.f64 (+.f64 A C) (-.f64 C A))) (+.f64 A C)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) (*.f64 (+.f64 C A) (-.f64 C A))) (+.f64 C A)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (/ 1 (/ B (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 C A)) (/.f64 #s(literal 1 binary64) B)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B)))) (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 (*.f64 B B) #s(literal -1/2 binary64)) 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 (*.f64 B B) #s(literal 1/2 binary64)) A)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 A #s(approx (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B))) (fma.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A)) (/.f64 #s(literal -2 binary64) B)))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (+.f64 A #s(approx (sqrt (+ (* A A) (* B B))) (fma.f64 B (*.f64 B (/.f64 #s(literal 1/2 binary64) A)) A))) (neg.f64 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 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #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 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A)))))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64))) |
6 calls:
| 16.0ms | (/.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)) |
| 12.0ms | C |
| 12.0ms | A |
| 11.0ms | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 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))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.2% | 4 | A |
| 65.7% | 2 | C |
| 84.6% | 3 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| 84.6% | 3 | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| 84.6% | 3 | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
| 84.6% | 3 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
Compiled 101 to 71 computations (29.7% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* A A) (* B B)))) (neg B)) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* A A) (* B B)))) (neg B)) (-.f64 #s(literal 1 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(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) (-.f64 #s(literal -1 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(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) (-.f64 #s(literal 1 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 #s(literal 1 binary64) #s(approx (/ (- C A) B) (/.f64 C B))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (/ 1 (/ B (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) (/.f64 (+.f64 C C) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) #s(approx (* -1/2 (/ B (- C A))) (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) #s(approx (/ -1/2 (/ (- C A) B)) (/.f64 (*.f64 #s(literal -1/2 binary64) B) 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))))) #s(approx (* A (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B)))) (/.f64 (*.f64 B #s(literal -1/2 binary64)) A)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 2 binary64) (/.f64 C B)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 A B)) (neg.f64 B)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal -2 binary64) A) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal 2 binary64) C) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 A #s(literal -2 binary64)) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (/ 1 (/ B (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 C A)) B))) (PI.f64))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64))) |
4 calls:
| 7.0ms | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
| 6.0ms | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 6.0ms | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| 6.0ms | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.6% | 3 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| 84.6% | 3 | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| 84.6% | 3 | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
| 84.6% | 3 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
Compiled 93 to 65 computations (30.1% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* A A) (* B B)))) (neg B)) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* A A) (* B B)))) (neg B)) (-.f64 #s(literal 1 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(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) (-.f64 #s(literal -1 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(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) (-.f64 #s(literal 1 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 #s(literal 1 binary64) #s(approx (/ (- C A) B) (/.f64 C B))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (/ 1 (/ B (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) (/.f64 (+.f64 C C) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) #s(approx (* -1/2 (/ B (- C A))) (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) #s(approx (/ -1/2 (/ (- C A) B)) (/.f64 (*.f64 #s(literal -1/2 binary64) B) 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))))) #s(approx (* A (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B)))) (/.f64 (*.f64 B #s(literal -1/2 binary64)) A)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 2 binary64) (/.f64 C B)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 A B)) (neg.f64 B)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal -2 binary64) A) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal 2 binary64) C) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 A #s(literal -2 binary64)) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (/ 1 (/ B (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64)))) (PI.f64))) |
| 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))))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64))) |
5 calls:
| 7.0ms | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 7.0ms | B |
| 6.0ms | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| 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)) |
| 6.0ms | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.5% | 3 | B |
| 77.7% | 3 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| 77.7% | 3 | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| 77.7% | 3 | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
| 77.7% | 3 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
Compiled 97 to 68 computations (29.9% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* A A) (* B B)))) (neg B)) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* A A) (* B B)))) (neg B)) (-.f64 #s(literal 1 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(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) (-.f64 #s(literal -1 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(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) (-.f64 #s(literal 1 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 #s(literal 1 binary64) #s(approx (/ (- C A) B) (/.f64 C B))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (/ 1 (/ B (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) (/.f64 (+.f64 C C) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) #s(approx (* -1/2 (/ B (- C A))) (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) #s(approx (/ -1/2 (/ (- C A) B)) (/.f64 (*.f64 #s(literal -1/2 binary64) B) 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))))) #s(approx (* A (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B)))) (/.f64 (*.f64 B #s(literal -1/2 binary64)) A)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 2 binary64) (/.f64 C B)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 A B)) (neg.f64 B)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal -2 binary64) A) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal 2 binary64) C) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 A #s(literal -2 binary64)) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (/ 1 (/ B (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (PI.f64))) |
| 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 (+ (* (- C A) (- C A)) (* B B))))) #s(approx (* -1/2 (/ B (- C A))) (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64))) |
4 calls:
| 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 (/.f64 #s(literal 1 binary64) 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))) |
| 5.0ms | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.7% | 3 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| 77.7% | 3 | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| 77.7% | 3 | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
| 77.7% | 3 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
Compiled 93 to 65 computations (30.1% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* A A) (* B B)))) (neg B)) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* A A) (* B B)))) (neg B)) (-.f64 #s(literal 1 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(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) (-.f64 #s(literal -1 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(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) (-.f64 #s(literal 1 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 #s(literal 1 binary64) #s(approx (/ (- C A) B) (/.f64 C B))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (/ 1 (/ B (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) (/.f64 (+.f64 C C) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) #s(approx (* -1/2 (/ B (- C A))) (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) #s(approx (/ -1/2 (/ (- C A) B)) (/.f64 (*.f64 #s(literal -1/2 binary64) B) 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))))) #s(approx (* A (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B)))) (/.f64 (*.f64 B #s(literal -1/2 binary64)) A)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 2 binary64) (/.f64 C B)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 A B)) (neg.f64 B)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal -2 binary64) A) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal 2 binary64) C) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 A #s(literal -2 binary64)) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (/ 1 (/ B (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) (-.f64 #s(literal -1 binary64) (/.f64 A B))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) #s(approx (* -1/2 (/ B (- C A))) (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64))) |
4 calls:
| 7.0ms | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 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))))))) |
| 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 (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 |
|---|---|---|
| 71.3% | 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))) |
| 71.3% | 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)) |
| 71.3% | 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))))))) |
| 71.3% | 3 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
Compiled 93 to 65 computations (30.1% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* A A) (* B B)))) (neg B)) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* A A) (* B B)))) (neg B)) (-.f64 #s(literal 1 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(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) (-.f64 #s(literal -1 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(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) (-.f64 #s(literal 1 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 #s(literal 1 binary64) #s(approx (/ (- C A) B) (/.f64 C B))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (/ 1 (/ B (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) (/.f64 (+.f64 C C) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) #s(approx (* -1/2 (/ B (- C A))) (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) #s(approx (/ -1/2 (/ (- C A) B)) (/.f64 (*.f64 #s(literal -1/2 binary64) B) 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))))) #s(approx (* A (+ (+ (* -1/2 (/ B (* A A))) (/ C (* B A))) (+ (/ C (* B A)) (/ -2 B)))) (/.f64 (*.f64 B #s(literal -1/2 binary64)) A)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (*.f64 #s(literal 2 binary64) (/.f64 C B)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 #s(approx (+ A (sqrt (+ (* A A) (* B B)))) (+.f64 A B)) (neg.f64 B)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal -2 binary64) A) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 #s(literal 2 binary64) C) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 A #s(literal -2 binary64)) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (/ 1 (/ B (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) (PI.f64))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) (-.f64 #s(literal -1 binary64) (/.f64 A B))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) #s(approx (* -1/2 (/ B (- C A))) (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) #s(approx (/ (- C A) B) (/.f64 C B))))) (PI.f64))) |
7 calls:
| 6.0ms | B |
| 6.0ms | C |
| 6.0ms | A |
| 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))) |
| 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 |
|---|---|---|
| 65.3% | 4 | C |
| 58.3% | 3 | A |
| 59.1% | 3 | B |
| 65.0% | 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))) |
| 65.0% | 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)) |
| 65.0% | 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))))))) |
| 65.0% | 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 105 to 74 computations (29.5% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* A A) (* B B)))) (neg B)) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* A A) (* B B)))) (neg B)) (-.f64 #s(literal 1 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(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) (-.f64 #s(literal -1 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(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) (-.f64 #s(literal 1 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 #s(literal 1 binary64) #s(approx (/ (- C A) B) (/.f64 C B))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (/ 1 (/ B (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) (/.f64 (+.f64 C C) B))) (PI.f64))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) (-.f64 #s(literal -1 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 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))))) (+.f64 #s(literal 1 binary64) #s(approx (/ (- C A) B) (/.f64 C B))))) (PI.f64))) |
6 calls:
| 4.0ms | B |
| 4.0ms | C |
| 3.0ms | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 3.0ms | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| 3.0ms | (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 |
|---|---|---|
| 58.1% | 3 | B |
| 56.2% | 3 | C |
| 58.8% | 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))) |
| 58.8% | 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)) |
| 58.8% | 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))))))) |
| 58.8% | 3 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
Compiled 101 to 71 computations (29.7% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* A A) (* B B)))) (neg B)) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* A A) (* B B)))) (neg B)) (-.f64 #s(literal 1 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(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) (-.f64 #s(literal -1 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(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) (-.f64 #s(literal 1 binary64) (/.f64 A B))))) (PI.f64))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) (-.f64 #s(literal -1 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 0 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* A A) (* B B)))) (neg B)) (-.f64 #s(literal 1 binary64) (/.f64 A B))))) (PI.f64))) |
5 calls:
| 3.0ms | A |
| 3.0ms | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 3.0ms | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| 3.0ms | (/.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)) |
| 3.0ms | (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 |
|---|---|---|
| 45.6% | 3 | A |
| 58.3% | 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))) |
| 58.3% | 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)) |
| 58.3% | 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))))))) |
| 58.3% | 3 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
Compiled 97 to 68 computations (29.9% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* A A) (* B B)))) (neg B)) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* A A) (* B B)))) (neg B)) (-.f64 #s(literal 1 binary64) (/.f64 A B))))) (PI.f64))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* A A) (* B B)))) (neg B)) (-.f64 #s(literal 1 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))) |
6 calls:
| 3.0ms | (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))))))) |
| 3.0ms | C |
| 3.0ms | 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 | (*.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 |
|---|---|---|
| 36.6% | 1 | C |
| 51.6% | 2 | B |
| 51.1% | 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))) |
| 51.1% | 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)) |
| 51.1% | 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))))))) |
| 51.1% | 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 101 to 71 computations (29.7% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* A A) (* B B)))) (neg B)) #s(literal 1 binary64)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) #s(literal 1 binary64)))) (PI.f64))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
5 calls:
| 3.0ms | (/.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 | B |
| 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 | (*.f64 (/.f64 #s(literal 1 binary64) 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 |
|---|---|---|
| 44.1% | 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)))))) |
| 44.1% | 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))) |
| 44.1% | 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)) |
| 44.1% | 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))))))) |
| 46.5% | 3 | B |
Compiled 97 to 68 computations (29.9% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(literal 0 binary64))) (PI.f64))) |
| 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 |
| 1.0ms | C |
| 1.0ms | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| 1.0ms | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 26.7% | 2 | C |
| 29.6% | 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))) |
| 29.6% | 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)) |
| 29.6% | 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))))))) |
| 29.6% | 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)))))) |
| 26.7% | 2 | A |
| 30.8% | 2 | B |
Compiled 105 to 74 computations (29.5% 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:
| 2.0ms | B |
| 1.0ms | A |
| 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 | C |
| 1.0ms | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 22.8% | 1 | C |
| 22.8% | 1 | A |
| 22.8% | 1 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| 22.8% | 1 | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| 22.8% | 1 | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
| 22.8% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 22.8% | 1 | B |
Compiled 105 to 74 computations (29.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00011522637096026204 | 0.9999999992203111 |
| 0.0ms | -4.493032607108766e-22 | -0.0 |
Compiled 29 to 25 computations (13.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00011522637096026204 | 0.9999999992203111 |
| 0.0ms | -4.493032607108766e-22 | -0.0 |
Compiled 29 to 25 computations (13.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00011522637096026204 | 0.9999999992203111 |
| 0.0ms | -4.493032607108766e-22 | -0.0 |
Compiled 29 to 25 computations (13.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00011522637096026204 | 0.9999999992203111 |
| 0.0ms | -4.493032607108766e-22 | -0.0 |
Compiled 29 to 25 computations (13.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00011522637096026204 | 0.9999999992203111 |
| 0.0ms | -4.493032607108766e-22 | -0.0 |
Compiled 29 to 25 computations (13.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00011522637096026204 | 0.9999999992203111 |
| 0.0ms | -4.493032607108766e-22 | -0.0 |
Compiled 29 to 25 computations (13.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00011522637096026204 | 0.9999999992203111 |
| 0.0ms | -4.493032607108766e-22 | -0.0 |
Compiled 29 to 25 computations (13.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00011522637096026204 | 0.9999999992203111 |
| 0.0ms | -4.493032607108766e-22 | -0.0 |
Compiled 29 to 25 computations (13.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00011522637096026204 | 0.9999999992203111 |
| 0.0ms | -4.493032607108766e-22 | -0.0 |
Compiled 29 to 25 computations (13.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00011522637096026204 | 0.9999999992203111 |
| 0.0ms | -4.493032607108766e-22 | -0.0 |
Compiled 29 to 25 computations (13.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.0 | 0.00011522637096026204 |
| 0.0ms | -4.493032607108766e-22 | -0.0 |
Compiled 29 to 25 computations (13.8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 685790.521833376 | 2720796.856353814 |
| 6.0ms | 54× | 0 | valid |
| 5.0ms | 13× | 2 | valid |
| 3.0ms | 13× | 1 | valid |
Compiled 164 to 134 computations (18.3% saved)
ival-sub: 3.0ms (26.2% of total)ival-div: 2.0ms (17.5% of total)ival-pow2: 2.0ms (17.5% of total)ival-add: 1.0ms (8.7% of total)adjust: 1.0ms (8.7% of total)ival-sqrt: 1.0ms (8.7% of total)ival-atan: 1.0ms (8.7% of total)ival-mult: 1.0ms (8.7% of total)ival-assert: 0.0ms (0% of total)ival-pi: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 35.0ms | 5.853567610183066e-243 | 4.621953091706422e-238 |
| 41.0ms | -4.753495057081932e-110 | -6.668128857724902e-124 |
| 39.0ms | 121× | 2 | valid |
| 20.0ms | 165× | 0 | valid |
| 4.0ms | 18× | 1 | valid |
Compiled 447 to 404 computations (9.6% saved)
ival-pow2: 11.0ms (21.1% of total)ival-sub: 8.0ms (15.4% of total)adjust: 8.0ms (15.4% of total)ival-div: 7.0ms (13.4% of total)ival-mult: 7.0ms (13.4% of total)ival-sqrt: 4.0ms (7.7% of total)ival-add: 3.0ms (5.8% of total)ival-atan: 3.0ms (5.8% of total)ival-pi: 1.0ms (1.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 5.853567610183066e-243 | 4.621953091706422e-238 |
Compiled 227 to 204 computations (10.1% saved)
| 1× | egg-herbie |
| 58× | *-commutative_binary64 |
| 38× | +-commutative_binary64 |
| 30× | sub-neg_binary64 |
| 16× | neg-sub0_binary64 |
| 16× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 173 | 1822 |
| 1 | 213 | 1822 |
| 2 | 238 | 1822 |
| 3 | 254 | 1822 |
| 4 | 264 | 1822 |
| 5 | 266 | 1822 |
| 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 -4253529586511731/10633823966279326983230456482242756608 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64))) (if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal 7378697629483821/36893488147419103232 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ B (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) (-.f64 C A)) (*.f64 (-.f64 C A) #s(literal -2 binary64))) B)))) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64))))) |
(if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal -4253529586511731/10633823966279326983230456482242756608 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 7378697629483821/36893488147419103232 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ B (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) (-.f64 C A)) (*.f64 (-.f64 C A) #s(literal -2 binary64))) B)))) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 A C) (/.f64 (-.f64 A C) B)) (-.f64 A C)) B)))) (PI.f64))))) |
(if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal -4253529586511731/10633823966279326983230456482242756608 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 7378697629483821/36893488147419103232 binary64)) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A)))))) (PI.f64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 A C) (/.f64 (-.f64 A C) B)) (-.f64 A C)) B)))) (PI.f64))))) |
(if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal -4253529586511731/10633823966279326983230456482242756608 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 7378697629483821/36893488147419103232 binary64)) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A)))))) (PI.f64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64))))) |
(if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal -4253529586511731/10633823966279326983230456482242756608 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 7378697629483821/36893488147419103232 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64))))) |
(if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal -4253529586511731/10633823966279326983230456482242756608 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 7378697629483821/36893488147419103232 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64)))) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64))))) |
(if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal -4253529586511731/10633823966279326983230456482242756608 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 7378697629483821/36893488147419103232 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) #s(approx (* -1/2 (/ B (- C A))) (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)))) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64))))) |
(if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal -4253529586511731/10633823966279326983230456482242756608 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) (-.f64 #s(literal -1 binary64) (/.f64 A B))))) (PI.f64))) (if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal 7378697629483821/36893488147419103232 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) #s(approx (* -1/2 (/ B (- C A))) (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)))) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64))))) |
(if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal -4253529586511731/10633823966279326983230456482242756608 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) (-.f64 #s(literal -1 binary64) (/.f64 A B))))) (PI.f64))) (if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal 7378697629483821/36893488147419103232 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) #s(approx (* -1/2 (/ B (- C A))) (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)))) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) #s(approx (/ (- C A) B) (/.f64 C B))))) (PI.f64))))) |
(if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal -4253529586511731/10633823966279326983230456482242756608 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) (-.f64 #s(literal -1 binary64) (/.f64 A B))))) (PI.f64))) (if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal 7378697629483821/36893488147419103232 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))))) (+.f64 #s(literal 1 binary64) #s(approx (/ (- C A) B) (/.f64 C B))))) (PI.f64))))) |
(if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal -4253529586511731/10633823966279326983230456482242756608 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) (-.f64 #s(literal -1 binary64) (/.f64 A B))))) (PI.f64))) (if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal 0 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (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(approx (/ (+ A (sqrt (+ (* A A) (* B B)))) (neg B)) (-.f64 #s(literal 1 binary64) (/.f64 A B))))) (PI.f64))))) |
(if (<=.f64 B #s(literal 1900000 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* A A) (* B B)))) (neg B)) (-.f64 #s(literal 1 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 -3384606560206073/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288 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 6745034650879223/14663118806259180136662417374041517307249530456151374095074022247583264770740686929584785544102209728219832068720127856678091192707621568870627853333281064765702591645685356596360602245877237133437460484214653566707676443446649642811063698998514839191552 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 6745034650879223/14663118806259180136662417374041517307249530456151374095074022247583264770740686929584785544102209728219832068720127856678091192707621568870627853333281064765702591645685356596360602245877237133437460484214653566707676443446649642811063698998514839191552 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 -4253529586511731/10633823966279326983230456482242756608 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64))) (if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal 7378697629483821/36893488147419103232 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ B (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) (-.f64 C A)) (*.f64 (-.f64 C A) #s(literal -2 binary64))) B)))) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64))))) |
(if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal -4253529586511731/10633823966279326983230456482242756608 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 7378697629483821/36893488147419103232 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ B (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) (-.f64 C A)) (*.f64 (-.f64 C A) #s(literal -2 binary64))) B)))) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 A C) (/.f64 (-.f64 A C) B)) (-.f64 A C)) B)))) (PI.f64))))) |
(if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal -4253529586511731/10633823966279326983230456482242756608 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 7378697629483821/36893488147419103232 binary64)) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A)))))) (PI.f64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 A C) (/.f64 (-.f64 A C) B)) (-.f64 A C)) B)))) (PI.f64))))) |
(if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal -4253529586511731/10633823966279326983230456482242756608 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 7378697629483821/36893488147419103232 binary64)) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A)))))) (PI.f64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64))))) |
(if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal -4253529586511731/10633823966279326983230456482242756608 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 7378697629483821/36893488147419103232 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) (*.f64 #s(literal -1/2 binary64) (/.f64 B (-.f64 C A))))) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64))))) |
(if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal -4253529586511731/10633823966279326983230456482242756608 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 7378697629483821/36893488147419103232 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64)))) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64))))) |
(if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal -4253529586511731/10633823966279326983230456482242756608 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 7378697629483821/36893488147419103232 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) #s(approx (* -1/2 (/ B (- C A))) (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)))) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64))))) |
(if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal -4253529586511731/10633823966279326983230456482242756608 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) (-.f64 #s(literal -1 binary64) (/.f64 A B))))) (PI.f64))) (if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal 7378697629483821/36893488147419103232 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) #s(approx (* -1/2 (/ B (- C A))) (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)))) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64))))) |
(if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal -4253529586511731/10633823966279326983230456482242756608 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) (-.f64 #s(literal -1 binary64) (/.f64 A B))))) (PI.f64))) (if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal 7378697629483821/36893488147419103232 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) #s(approx (* -1/2 (/ B (- C A))) (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)))) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (+.f64 #s(literal 1 binary64) #s(approx (/ (- C A) B) (/.f64 C B))))) (PI.f64))))) |
(if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal -4253529586511731/10633823966279326983230456482242756608 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) (-.f64 #s(literal -1 binary64) (/.f64 A B))))) (PI.f64))) (if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal 7378697629483821/36893488147419103232 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))))) (+.f64 #s(literal 1 binary64) #s(approx (/ (- C A) B) (/.f64 C B))))) (PI.f64))))) |
(if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal -4253529586511731/10633823966279326983230456482242756608 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* B B) (* A A)))) (neg B)) (-.f64 #s(literal -1 binary64) (/.f64 A B))))) (PI.f64))) (if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal 0 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (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(approx (/ (+ A (sqrt (+ (* A A) (* B B)))) (neg B)) (-.f64 #s(literal 1 binary64) (/.f64 A B))))) (PI.f64))))) |
(if (<=.f64 B #s(literal 1900000 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(approx (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) #s(approx (/ (+ A (sqrt (+ (* A A) (* B B)))) (neg B)) (-.f64 #s(literal 1 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 -3384606560206073/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288 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 6745034650879223/14663118806259180136662417374041517307249530456151374095074022247583264770740686929584785544102209728219832068720127856678091192707621568870627853333281064765702591645685356596360602245877237133437460484214653566707676443446649642811063698998514839191552 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 6745034650879223/14663118806259180136662417374041517307249530456151374095074022247583264770740686929584785544102209728219832068720127856678091192707621568870627853333281064765702591645685356596360602245877237133437460484214653566707676443446649642811063698998514839191552 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))) |
| 9 544× | lower-fma.f64 |
| 9 544× | lower-fma.f32 |
| 8 978× | lower-fma.f64 |
| 8 978× | lower-fma.f32 |
| 8 878× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 838 |
| 0 | 105 | 800 |
| 1 | 432 | 760 |
| 2 | 3779 | 760 |
| 0 | 8851 | 654 |
| 0 | 794 | 19167 |
| 1 | 2294 | 18699 |
| 2 | 6921 | 18594 |
| 0 | 8206 | 15156 |
| 0 | 653 | 4303 |
| 1 | 2037 | 4108 |
| 2 | 6286 | 4068 |
| 0 | 8196 | 3537 |
| 0 | 1156 | 19555 |
| 1 | 3522 | 18972 |
| 0 | 8234 | 15534 |
| 0 | 969 | 18897 |
| 1 | 2945 | 18312 |
| 0 | 8444 | 15163 |
| 0 | 19 | 82 |
| 0 | 32 | 82 |
| 1 | 138 | 78 |
| 2 | 1029 | 78 |
| 0 | 8555 | 56 |
| 0 | 60 | 622 |
| 0 | 101 | 622 |
| 1 | 398 | 586 |
| 2 | 3666 | 586 |
| 0 | 9906 | 483 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 2 113 to 936 computations (55.7% saved)
Compiled 2 056 to 292 computations (85.8% saved)
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