
Time bar (total: 13.6s)
| 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)
| 896.0ms | 5 604× | 0 | valid |
| 583.0ms | 1 589× | 2 | valid |
| 237.0ms | 1 023× | 1 | valid |
| 14.0ms | 38× | 3 | valid |
| 1.0ms | 2× | 4 | valid |
ival-pow2: 223.0ms (18.5% of total)ival-sub: 193.0ms (16.1% of total)ival-div: 187.0ms (15.6% of total)ival-mult: 170.0ms (14.1% of total)adjust: 129.0ms (10.7% of total)ival-sqrt: 99.0ms (8.2% of total)ival-atan: 89.0ms (7.4% of total)ival-add: 64.0ms (5.3% of total)ival-pi: 31.0ms (2.6% of total)exact: 9.0ms (0.7% of total)ival-true: 6.0ms (0.5% of total)ival-assert: 3.0ms (0.2% of total)| 1× | egg-herbie |
| 4 768× | lower-fma.f64 |
| 4 768× | lower-fma.f32 |
| 1 636× | div-sub |
| 1 004× | lower-*.f32 |
| 1 000× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 219 |
| 1 | 194 | 195 |
| 2 | 561 | 193 |
| 3 | 1780 | 191 |
| 4 | 5521 | 191 |
| 0 | 19 | 23 |
| 0 | 32 | 23 |
| 1 | 51 | 21 |
| 2 | 94 | 21 |
| 3 | 237 | 21 |
| 4 | 613 | 21 |
| 5 | 1310 | 21 |
| 6 | 2156 | 21 |
| 7 | 3282 | 21 |
| 8 | 4112 | 21 |
| 9 | 4492 | 21 |
| 10 | 4576 | 21 |
| 11 | 4625 | 21 |
| 12 | 4663 | 21 |
| 13 | 4766 | 21 |
| 14 | 4798 | 21 |
| 15 | 4798 | 21 |
| 16 | 4798 | 21 |
| 0 | 4798 | 16 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B))) (PI.f64)) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 148 | 0 | - | 0 | - | (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) |
| 37 | 0 | - | 0 | - | (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))) |
| 16 | 0 | - | 0 | - | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 1 | 0 | - | 1 | (-5.953916164486279e-161 5.372197770915754e-243 5.4613246236067415e+66) | (*.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 | 143 | 0 |
| ↳ | (pow.f64 B #s(literal 2 binary64)) | overflow | 60 | |
| ↳ | (pow.f64 (-.f64 A C) #s(literal 2 binary64)) | overflow | 113 | |
| ↳ | (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) | overflow | 143 | |
-.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 | 0 |
*.f64 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) | n*u | 16 | 0 |
sqrt.f64 | (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) | uflow-rescue | 5 | 0 |
| ↳ | (pow.f64 B #s(literal 2 binary64)) | underflow | 57 | |
| ↳ | (pow.f64 (-.f64 A C) #s(literal 2 binary64)) | underflow | 19 | |
| ↳ | (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) | underflow | 5 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 118 | 0 |
| - | 56 | 82 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 118 | 0 | 0 |
| - | 56 | 0 | 82 |
| number | freq |
|---|---|
| 0 | 82 |
| 1 | 147 |
| 2 | 27 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 50.0ms | 372× | 0 | valid |
| 31.0ms | 84× | 2 | valid |
| 13.0ms | 52× | 1 | valid |
| 2.0ms | 4× | 3 | valid |
Compiled 332 to 80 computations (75.9% saved)
ival-pow2: 14.0ms (21.1% of total)ival-div: 10.0ms (15.1% of total)ival-sub: 9.0ms (13.6% of total)ival-mult: 8.0ms (12.1% of total)adjust: 7.0ms (10.6% of total)ival-sqrt: 6.0ms (9.1% of total)ival-atan: 5.0ms (7.5% of total)ival-add: 3.0ms (4.5% of total)ival-pi: 2.0ms (3% of total)exact: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 59.2% | (*.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))) |
Compiled 26 to 19 computations (26.9% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| ✓ | cost-diff | 5952 | (pow.f64 (-.f64 A C) #s(literal 2 binary64)) |
| ✓ | cost-diff | 6144 | (pow.f64 B #s(literal 2 binary64)) |
| 4 768× | lower-fma.f64 |
| 4 768× | lower-fma.f32 |
| 1 004× | lower-*.f32 |
| 1 000× | lower-*.f64 |
| 940× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 138 |
| 0 | 32 | 138 |
| 1 | 51 | 130 |
| 2 | 94 | 130 |
| 3 | 237 | 130 |
| 4 | 613 | 130 |
| 5 | 1310 | 130 |
| 6 | 2156 | 130 |
| 7 | 3282 | 130 |
| 8 | 4112 | 130 |
| 9 | 4492 | 130 |
| 10 | 4576 | 130 |
| 11 | 4625 | 130 |
| 12 | 4663 | 130 |
| 13 | 4766 | 130 |
| 14 | 4798 | 130 |
| 15 | 4798 | 130 |
| 16 | 4798 | 130 |
| 0 | 4798 | 99 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) B) |
#s(literal 1 binary64) |
B |
(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))) |
(-.f64 C A) |
C |
A |
(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) |
(+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) |
(pow.f64 (-.f64 A C) #s(literal 2 binary64)) |
(-.f64 A C) |
#s(literal 2 binary64) |
(pow.f64 B #s(literal 2 binary64)) |
(PI.f64) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (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 (/.f64 #s(literal 1 binary64) 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 | 99.9% | (*.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))) |
| ✓ | accuracy | 94.1% | (*.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)))))) |
| ✓ | accuracy | 86.8% | (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))) |
| ✓ | accuracy | 46.4% | (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) |
| 27.0ms | 186× | 0 | valid |
| 17.0ms | 42× | 2 | valid |
| 7.0ms | 26× | 1 | valid |
| 1.0ms | 2× | 3 | valid |
Compiled 140 to 21 computations (85% saved)
ival-pow2: 8.0ms (23.1% of total)ival-sub: 5.0ms (14.4% of total)ival-div: 5.0ms (14.4% of total)ival-mult: 4.0ms (11.5% of total)ival-atan: 4.0ms (11.5% of total)adjust: 3.0ms (8.7% of total)ival-sqrt: 3.0ms (8.7% of total)ival-add: 2.0ms (5.8% of total)ival-pi: 1.0ms (2.9% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (pow.f64 B #s(literal 2 binary64))> |
#<alt (pow.f64 (-.f64 A C) #s(literal 2 binary64))> |
#<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))))))> |
#<alt (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))> |
#<alt (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))> |
#<alt (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))> |
#<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)))> |
| Outputs |
|---|
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow C 2)> |
#<alt (+ (* -2 (* A C)) (pow C 2))> |
#<alt (+ (* A (+ A (* -2 C))) (pow C 2))> |
#<alt (+ (* A (+ A (* -2 C))) (pow C 2))> |
#<alt (pow A 2)> |
#<alt (* (pow A 2) (+ 1 (* -2 (/ C A))))> |
#<alt (* (pow A 2) (+ 1 (+ (* -2 (/ C A)) (/ (pow C 2) (pow A 2)))))> |
#<alt (* (pow A 2) (+ 1 (+ (* -2 (/ C A)) (/ (pow C 2) (pow A 2)))))> |
#<alt (pow A 2)> |
#<alt (* (pow A 2) (+ 1 (* -2 (/ C A))))> |
#<alt (* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow C 2) A)) (* 2 C)) A))))> |
#<alt (* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow C 2) A)) (* 2 C)) A))))> |
#<alt (pow A 2)> |
#<alt (+ (* -2 (* A C)) (pow A 2))> |
#<alt (+ (* C (+ C (* -2 A))) (pow A 2))> |
#<alt (+ (* C (+ C (* -2 A))) (pow A 2))> |
#<alt (pow C 2)> |
#<alt (* (pow C 2) (+ 1 (* -2 (/ A C))))> |
#<alt (* (pow C 2) (+ 1 (+ (* -2 (/ A C)) (/ (pow A 2) (pow C 2)))))> |
#<alt (* (pow C 2) (+ 1 (+ (* -2 (/ A C)) (/ (pow A 2) (pow C 2)))))> |
#<alt (pow C 2)> |
#<alt (* (pow C 2) (+ 1 (* -2 (/ A C))))> |
#<alt (* (pow C 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow A 2) C)) (* 2 A)) C))))> |
#<alt (* (pow C 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow A 2) C)) (* 2 A)) C))))> |
#<alt (/ (- (* 2 C) (* 2 A)) B)> |
#<alt (/ (- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) B)> |
#<alt (/ (- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B)> |
#<alt (/ (- (+ (* 2 C) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B)> |
#<alt -1> |
#<alt (- (/ C B) (+ 1 (/ A B)))> |
#<alt (- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B)))> |
#<alt (- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B)))> |
#<alt 1> |
#<alt (- (+ 1 (/ C B)) (/ A B))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- A C) 2) B))) B)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) B)))> |
#<alt (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))> |
#<alt (+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))))> |
#<alt (+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))))> |
#<alt (+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))))> |
#<alt (* -1 (/ (+ A (* -1 A)) B))> |
#<alt (+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C)))> |
#<alt (+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2)))))> |
#<alt (+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3)))))))> |
#<alt (* 2 (/ C B))> |
#<alt (* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B)))))> |
#<alt (* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B)))))> |
#<alt (* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B)))))> |
#<alt (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)> |
#<alt (- (+ (* -1 (/ (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))> |
#<alt (- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* -1/2 (* (/ (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))> |
#<alt (- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* A (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) B) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))> |
#<alt (* -2 (/ A B))> |
#<alt (* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B)))))> |
#<alt (* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B)))))> |
#<alt (* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B)))))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A))> |
#<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))> |
#<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))> |
#<alt (+ (pow B 2) (pow C 2))> |
#<alt (+ (* -2 (* A C)) (+ (pow B 2) (pow C 2)))> |
#<alt (+ (* A (+ A (* -2 C))) (+ (pow B 2) (pow C 2)))> |
#<alt (+ (* A (+ A (* -2 C))) (+ (pow B 2) (pow C 2)))> |
#<alt (pow A 2)> |
#<alt (* (pow A 2) (+ 1 (* -2 (/ C A))))> |
#<alt (* (pow A 2) (+ 1 (+ (* -2 (/ C A)) (+ (/ (pow B 2) (pow A 2)) (/ (pow C 2) (pow A 2))))))> |
#<alt (* (pow A 2) (+ 1 (+ (* -2 (/ C A)) (+ (/ (pow B 2) (pow A 2)) (/ (pow C 2) (pow A 2))))))> |
#<alt (pow A 2)> |
#<alt (* (pow A 2) (+ 1 (* -2 (/ C A))))> |
#<alt (* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow B 2) (pow C 2)) A)) (* 2 C)) A))))> |
#<alt (* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow B 2) (pow C 2)) A)) (* 2 C)) A))))> |
#<alt (+ (pow A 2) (pow B 2))> |
#<alt (+ (* -2 (* A C)) (+ (pow A 2) (pow B 2)))> |
#<alt (+ (* C (+ C (* -2 A))) (+ (pow A 2) (pow B 2)))> |
#<alt (+ (* C (+ C (* -2 A))) (+ (pow A 2) (pow B 2)))> |
#<alt (pow C 2)> |
#<alt (* (pow C 2) (+ 1 (* -2 (/ A C))))> |
#<alt (* (pow C 2) (+ 1 (+ (* -2 (/ A C)) (+ (/ (pow A 2) (pow C 2)) (/ (pow B 2) (pow C 2))))))> |
#<alt (* (pow C 2) (+ 1 (+ (* -2 (/ A C)) (+ (/ (pow A 2) (pow C 2)) (/ (pow B 2) (pow C 2))))))> |
#<alt (pow C 2)> |
#<alt (* (pow C 2) (+ 1 (* -2 (/ A C))))> |
#<alt (* (pow C 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow A 2) (pow B 2)) C)) (* 2 A)) C))))> |
#<alt (* (pow C 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow A 2) (pow B 2)) C)) (* 2 A)) C))))> |
#<alt (pow (- A C) 2)> |
#<alt (+ (pow B 2) (pow (- A C) 2))> |
#<alt (+ (pow B 2) (pow (- A C) 2))> |
#<alt (+ (pow B 2) (pow (- A C) 2))> |
#<alt (pow B 2)> |
#<alt (* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2))))> |
#<alt (* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2))))> |
#<alt (* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2))))> |
#<alt (pow B 2)> |
#<alt (* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2))))> |
#<alt (* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2))))> |
#<alt (* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2))))> |
#<alt (sqrt (+ (pow B 2) (pow C 2)))> |
#<alt (+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))> |
#<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)))))))))> |
#<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))))))))))> |
#<alt A> |
#<alt (* A (+ 1 (* -1 (/ C A))))> |
#<alt (* A (+ 1 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2))))))> |
#<alt (* A (+ 1 (+ (* -1 (/ C A)) (+ (* 1/2 (/ (* (pow B 2) C) (pow A 3))) (* 1/2 (/ (pow B 2) (pow A 2)))))))> |
#<alt (* -1 A)> |
#<alt (* -1 (* A (+ 1 (* -1 (/ C A)))))> |
#<alt (* -1 (* A (+ 1 (* -1 (/ (+ C (* -1/2 (/ (pow B 2) A))) A)))))> |
#<alt (* -1 (* A (+ 1 (* -1 (/ (+ C (* -1 (/ (+ (* 1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A))) A)))))> |
#<alt (sqrt (+ (pow A 2) (pow B 2)))> |
#<alt (+ (sqrt (+ (pow A 2) (pow B 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))> |
#<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)))))))))> |
#<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))))))))))> |
#<alt C> |
#<alt (* C (+ 1 (* -1 (/ A C))))> |
#<alt (* C (+ 1 (+ (* -1 (/ A C)) (* 1/2 (/ (pow B 2) (pow C 2))))))> |
#<alt (* C (+ 1 (+ (* -1 (/ A C)) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 3))) (* 1/2 (/ (pow B 2) (pow C 2)))))))> |
#<alt (* -1 C)> |
#<alt (* -1 (* C (+ 1 (* -1 (/ A C)))))> |
#<alt (* -1 (* C (+ 1 (* -1 (/ (+ A (* -1/2 (/ (pow B 2) C))) C)))))> |
#<alt (* -1 (* C (+ 1 (* -1 (/ (+ A (* -1 (/ (+ (* 1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C))) C)))))> |
#<alt (- A C)> |
#<alt (- (+ A (* 1/2 (/ (pow B 2) (- A C)))) C)> |
#<alt (- (+ A (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) C)> |
#<alt (- (+ 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)> |
#<alt B> |
#<alt (* B (+ 1 (* 1/2 (/ (pow (- A C) 2) (pow B 2)))))> |
#<alt (* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (* 1/2 (/ (pow (- A C) 2) (pow B 2))))))> |
#<alt (* 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)))))))> |
#<alt (* -1 B)> |
#<alt (* -1 (* B (+ 1 (* 1/2 (/ (pow (- A C) 2) (pow B 2))))))> |
#<alt (* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (* 1/2 (/ (pow (- A C) 2) (pow B 2)))))))> |
#<alt (* -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))))))))> |
#<alt (* -1 (+ A (sqrt (+ (pow A 2) (pow B 2)))))> |
#<alt (- (* C (- 1 (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2)))))> |
#<alt (- (* 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)))))> |
#<alt (- (* 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)))))> |
#<alt (* -1 (+ A (* -1 A)))> |
#<alt (- (* -1/2 (/ (pow B 2) C)) (+ A (* -1 A)))> |
#<alt (- (* -1/2 (/ (* A (pow B 2)) (pow C 2))) (+ A (+ (* -1 A) (* 1/2 (/ (pow B 2) C)))))> |
#<alt (- (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (pow C 3))) (+ A (+ (* -1 A) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 2))) (* 1/2 (/ (pow B 2) C))))))> |
#<alt (* 2 C)> |
#<alt (* -1 (* C (- (* 2 (/ A C)) 2)))> |
#<alt (* -1 (* C (- (* -1 (/ (- (* 1/2 (/ (pow B 2) C)) (* 2 A)) C)) 2)))> |
#<alt (* -1 (* C (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C)) (* 2 A)) C)) 2)))> |
#<alt (- C (sqrt (+ (pow B 2) (pow C 2))))> |
#<alt (- (+ C (* -1 (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2))))> |
#<alt (- (+ C (* A (- (* -1/2 (* (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2))))> |
#<alt (- (+ C (* A (- (* A (- (* -1/2 (* (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow B 2) (pow C 2)))) (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2))))> |
#<alt (* -2 A)> |
#<alt (* A (- (/ C A) (+ 2 (* -1 (/ C A)))))> |
#<alt (* A (- (+ (* -1/2 (/ (pow B 2) (pow A 2))) (/ C A)) (+ 2 (* -1 (/ C A)))))> |
#<alt (* A (- (+ (* -1/2 (/ (* (pow B 2) C) (pow A 3))) (/ C A)) (+ 2 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2)))))))> |
#<alt (* 1/2 (/ (pow B 2) A))> |
#<alt (* -1 (/ (- (* -1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) A)) (* -1/2 (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A))> |
#<alt (- (* 2 C) (* 2 A))> |
#<alt (- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A))> |
#<alt (- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A))> |
#<alt (- (+ (* 2 C) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) (* 2 A))> |
#<alt (* -1 B)> |
#<alt (* B (- (/ C B) (+ 1 (/ A B))))> |
#<alt (* B (- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))))> |
#<alt (* B (- (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B)) (+ 1 (+ (* 1/2 (/ (pow (- A C) 2) (pow B 2))) (/ A B)))))> |
#<alt B> |
#<alt (* -1 (* B (- (* -1 (/ (- C A) B)) 1)))> |
#<alt (* -1 (* B (- (* -1 (/ (- (+ C (* 1/2 (/ (pow (- A C) 2) B))) A) B)) 1)))> |
#<alt (* -1 (* B (- (* -1 (/ (- (+ C (* -1 (/ (- (* 1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) A) B)) 1)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)))> |
#<alt (* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)))> |
#<alt (* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)))> |
#<alt (* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | A | @ | 0 | (* (/ 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 | C | @ | 0 | (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) |
| 1.0ms | B | @ | inf | (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) |
| 1.0ms | B | @ | inf | (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) |
| 1× | batch-egg-rewrite |
| 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))) |
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (-.f64 A C))) (fma.f64 (-.f64 A C) (-.f64 A C) (fma.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) (/.f64 (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (-.f64 A C))) (fma.f64 (-.f64 A C) (-.f64 A C) (fma.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))) (*.f64 (/.f64 (*.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) (fma.f64 (-.f64 A C) (-.f64 A C) (fma.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) (/.f64 (*.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) (fma.f64 (-.f64 A C) (-.f64 A C) (fma.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))))) (+.f64 (/.f64 (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (-.f64 A C))) (fma.f64 (-.f64 A C) (-.f64 A C) (fma.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) (/.f64 (*.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) (fma.f64 (-.f64 A C) (-.f64 A C) (fma.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) (/.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))) (*.f64 (/.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)) (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) (/.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)) (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))))) (+.f64 (/.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) (/.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)) (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 (-.f64 C A) (sqrt.f64 (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)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (-.f64 A C))) (*.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 A C) (-.f64 A C) (fma.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))) |
(*.f64 (-.f64 (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (-.f64 A C))) (*.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 A C) (-.f64 A C) (-.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)) (neg.f64 (*.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))))))) |
(*.f64 (-.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))) |
(*.f64 (neg.f64 (-.f64 (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (-.f64 A C))) (*.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (fma.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))))) |
(*.f64 (fma.f64 (-.f64 A C) (neg.f64 (-.f64 A C)) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))))) |
(*.f64 (-.f64 (*.f64 C (*.f64 C C)) (*.f64 (+.f64 A (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) (*.f64 (+.f64 A (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) (+.f64 A (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))))) (/.f64 #s(literal 1 binary64) (fma.f64 C C (fma.f64 (+.f64 A (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) (+.f64 A (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) (*.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))))))) |
(*.f64 (*.f64 (+.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) (/.f64 #s(literal 1 binary64) (+.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))))) |
(neg.f64 (*.f64 (/.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))) #s(literal 180 binary64))) |
(neg.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))))) |
(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))) (neg.f64 (PI.f64)))) |
(neg.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)) (PI.f64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 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))))) |
| 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)))) |
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(fma.f64 B B (*.f64 C C)) |
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(fma.f64 B B (*.f64 C (fma.f64 #s(literal -2 binary64) A C))) |
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(pow A 2) |
(*.f64 A A) |
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(fma.f64 A (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) A) (fma.f64 (neg.f64 C) (/.f64 C (fma.f64 B B (*.f64 C C))) #s(literal 1 binary64)) (neg.f64 C))) (sqrt.f64 (fma.f64 B B (*.f64 C C)))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* A (+ (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (* A (+ (* 1/2 (* (sqrt (/ 1 (+ (pow B 2) (pow C 2)))) (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (* 1/2 (* (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3)))))))))) |
(fma.f64 A (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) A) (fma.f64 (neg.f64 C) (/.f64 C (fma.f64 B B (*.f64 C C))) #s(literal 1 binary64)) (neg.f64 C)) (*.f64 A (*.f64 (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 #s(literal 1/2 binary64) (*.f64 C A)) (fma.f64 (neg.f64 C) (/.f64 C (fma.f64 B B (*.f64 C C))) #s(literal 1 binary64)))))) (sqrt.f64 (fma.f64 B B (*.f64 C C)))) |
A |
(* A (+ 1 (* -1 (/ C A)))) |
(-.f64 A (*.f64 A (/.f64 C A))) |
(* A (+ 1 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2)))))) |
(*.f64 A (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/2 binary64) (*.f64 A A)) (-.f64 #s(literal 1 binary64) (/.f64 C A)))) |
(* A (+ 1 (+ (* -1 (/ C A)) (+ (* 1/2 (/ (* (pow B 2) C) (pow A 3))) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(fma.f64 A (fma.f64 #s(literal 1/2 binary64) (fma.f64 B (/.f64 B (*.f64 A A)) (/.f64 (*.f64 (*.f64 B B) C) (*.f64 A (*.f64 A A)))) (/.f64 C (neg.f64 A))) A) |
(* -1 A) |
(neg.f64 A) |
(* -1 (* A (+ 1 (* -1 (/ C A))))) |
(fma.f64 A (/.f64 C A) (neg.f64 A)) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1/2 (/ (pow B 2) A))) A))))) |
(fma.f64 A (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) A) C) A) (neg.f64 A)) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1 (/ (+ (* 1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A))) A))))) |
(fma.f64 A (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 B B (*.f64 C (/.f64 (*.f64 B B) A))) A) C) A) (neg.f64 A)) |
(sqrt (+ (pow A 2) (pow B 2))) |
(sqrt.f64 (fma.f64 A A (*.f64 B B))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (*.f64 C (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)))))) (* 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 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 (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/2 binary64) (*.f64 C C)) (/.f64 (neg.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 (*.f64 (-.f64 A C) (-.f64 A C)) (/.f64 #s(literal 1/2 binary64) (*.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)))))))) |
(neg.f64 (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 (+ 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))))) |
(fma.f64 C (fma.f64 C (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 C A) (-.f64 #s(literal 1 binary64) (*.f64 A (/.f64 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (-.f64 #s(literal 1 binary64) (*.f64 A (/.f64 A (fma.f64 A A (*.f64 B B)))))))) (fma.f64 A (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) #s(literal 1 binary64))) (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B))))) |
(* -1 (+ A (* -1 A))) |
#s(literal 0 binary64) |
(- (* -1/2 (/ (pow B 2) C)) (+ A (* -1 A))) |
(/.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)) |
Compiled 27 910 to 4 007 computations (85.6% saved)
22 alts after pruning (22 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 627 | 22 | 649 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 628 | 22 | 650 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 59.2% | (/.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)) |
| 59.2% | (/.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)))) | |
| 59.2% | (*.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))) | |
| 28.2% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64))) (PI.f64))) | |
| 35.2% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64))) (PI.f64))) | |
| 17.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C A)) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C A))) (*.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C A)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))))) (PI.f64))) | |
| 46.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) (PI.f64))) | |
| 50.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B))) (PI.f64))) | |
| ▶ | 22.0% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
| 27.0% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal -2 binary64) A) B)) (PI.f64))) | |
| 59.2% | (*.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))) | |
| 52.2% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (PI.f64))) | |
| 57.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C A)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))))) (PI.f64))) | |
| 56.5% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))) | |
| 12.5% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (+.f64 (-.f64 C A) (sqrt.f64 (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)))) (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)))) (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))))) (PI.f64))) | |
| 20.7% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) A))) (PI.f64))) | |
| ▶ | 23.6% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C))) (PI.f64))) |
| ▶ | 81.0% | (*.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))) |
| 23.2% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 #s(literal 2 binary64) (/.f64 C B))) (PI.f64))) | |
| 23.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) | |
| 10.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) | |
| ▶ | 19.6% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
Compiled 1 078 to 618 computations (42.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B) |
| ✓ | cost-diff | 0 | (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) |
| ✓ | cost-diff | 0 | (*.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))) |
| ✓ | cost-diff | 0 | (/.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)) |
| ✓ | cost-diff | 0 | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C))) |
| ✓ | cost-diff | 0 | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C))) (PI.f64)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C))) (PI.f64))) |
| ✓ | cost-diff | 1344 | (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 B #s(literal 1/2 binary64)) A) |
| ✓ | cost-diff | 0 | (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
| ✓ | cost-diff | 0 | (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (atan.f64 #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #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) |
| 5 200× | lower-fma.f32 |
| 5 198× | lower-fma.f64 |
| 2 784× | lower-*.f32 |
| 2 764× | lower-*.f64 |
| 1 390× | lower--.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 343 |
| 0 | 75 | 319 |
| 1 | 125 | 297 |
| 2 | 234 | 281 |
| 3 | 542 | 275 |
| 4 | 1366 | 275 |
| 5 | 3750 | 275 |
| 6 | 6446 | 275 |
| 0 | 8194 | 275 |
| 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(literal -1 binary64)) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64)) |
(atan.f64 #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64)) |
(atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
(/.f64 (*.f64 B #s(literal 1/2 binary64)) A) |
(*.f64 B #s(literal 1/2 binary64)) |
B |
#s(literal 1/2 binary64) |
A |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C))) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C))) (PI.f64)) |
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C))) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C)) |
(/.f64 #s(literal 1 binary64) B) |
#s(literal 1 binary64) |
B |
(/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C) |
(*.f64 (*.f64 B B) #s(literal -1/2 binary64)) |
(*.f64 B B) |
#s(literal -1/2 binary64) |
C |
(PI.f64) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) (PI.f64)) |
(*.f64 #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 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 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B) |
(-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) |
(-.f64 C A) |
C |
A |
(sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) |
(fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)) |
(-.f64 A C) |
(*.f64 B B) |
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 (*.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)) |
#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(literal -1 binary64)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal -1 binary64))) (PI.f64)) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64)) |
(atan.f64 #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64)) |
(atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
(/.f64 (*.f64 B #s(literal 1/2 binary64)) A) |
(*.f64 B #s(literal 1/2 binary64)) |
B |
#s(literal 1/2 binary64) |
A |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C))) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C))) (PI.f64)) |
(/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) |
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C))) |
(atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C)) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) C) |
(/.f64 #s(literal 1 binary64) B) |
#s(literal 1 binary64) |
B |
(/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C) |
(/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) C) |
(*.f64 (*.f64 B B) #s(literal -1/2 binary64)) |
(*.f64 B (*.f64 B #s(literal -1/2 binary64))) |
(*.f64 B B) |
#s(literal -1/2 binary64) |
C |
(PI.f64) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B))) (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 #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))) |
#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)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B)) |
(/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B) |
(/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B) |
(-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) |
(-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) |
(-.f64 C A) |
C |
A |
(sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) |
(sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))) |
(fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)) |
(fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))) |
(-.f64 A C) |
(*.f64 B B) |
B |
(PI.f64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.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))) |
| ✓ | accuracy | 94.3% | (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B) |
| ✓ | accuracy | 86.8% | (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) |
| ✓ | accuracy | 46.4% | (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) |
| ✓ | accuracy | 99.8% | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C))) (PI.f64)) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C))) (PI.f64))) |
| ✓ | accuracy | 87.4% | (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C) |
| ✓ | accuracy | 78.5% | (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 100.0% | (/.f64 (*.f64 B #s(literal 1/2 binary64)) A) |
| ✓ | accuracy | 99.8% | (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64)) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
| ✓ | accuracy | 100.0% | (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
| ✓ | accuracy | 100.0% | (atan.f64 #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.9% | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64)) |
| ✓ | accuracy | 99.9% | (*.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))) |
| ✓ | accuracy | 94.1% | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) |
| ✓ | accuracy | 86.8% | (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)) |
| 69.0ms | 44× | 2 | valid |
| 64.0ms | 186× | 0 | valid |
| 33.0ms | 26× | 1 | valid |
Compiled 394 to 43 computations (89.1% saved)
ival-hypot: 53.0ms (39.1% of total)ival-div: 28.0ms (20.6% of total)ival-mult: 21.0ms (15.5% of total)ival-atan: 18.0ms (13.3% of total)ival-sub: 7.0ms (5.2% of total)adjust: 6.0ms (4.4% of total)ival-add: 2.0ms (1.5% of total)ival-pi: 1.0ms (0.7% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (hypot.f64 (-.f64 C A) B)> |
#<alt (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))> |
#<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)))> |
#<alt (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64))> |
#<alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64)))> |
#<alt (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))> |
#<alt (atan.f64 #s(literal -1 binary64))> |
#<alt (PI.f64)> |
#<alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64)))> |
#<alt (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))> |
#<alt (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))> |
#<alt (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)> |
#<alt (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C))> |
#<alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C))) (PI.f64)))> |
#<alt (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C))) (PI.f64))> |
#<alt (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C)))> |
#<alt (/.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))> |
#<alt (*.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)))> |
#<alt (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))> |
#<alt (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)> |
#<alt (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))> |
#<alt (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C)> |
#<alt (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))> |
#<alt (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))> |
| Outputs |
|---|
#<alt (sqrt (+ (pow A 2) (pow B 2)))> |
#<alt (+ (sqrt (+ (pow A 2) (pow B 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))> |
#<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)))))))))> |
#<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))))))))))> |
#<alt C> |
#<alt (* C (+ 1 (* -1 (/ A C))))> |
#<alt (* C (+ 1 (+ (* -1 (/ A C)) (* 1/2 (/ (pow B 2) (pow C 2))))))> |
#<alt (* C (+ 1 (+ (* -1 (/ A C)) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 3))) (* 1/2 (/ (pow B 2) (pow C 2)))))))> |
#<alt (* -1 C)> |
#<alt (* -1 (* C (+ 1 (* -1 (/ A C)))))> |
#<alt (* -1 (* C (+ 1 (* -1 (/ (+ A (* -1/2 (/ (pow B 2) C))) C)))))> |
#<alt (* -1 (* C (+ 1 (* -1 (/ (+ A (* -1 (/ (+ (* 1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C))) C)))))> |
#<alt (sqrt (+ (pow B 2) (pow C 2)))> |
#<alt (+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))> |
#<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)))))))))> |
#<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))))))))))> |
#<alt A> |
#<alt (* A (+ 1 (* -1 (/ C A))))> |
#<alt (* A (+ 1 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2))))))> |
#<alt (* A (+ 1 (+ (* -1 (/ C A)) (+ (* 1/2 (/ (* (pow B 2) C) (pow A 3))) (* 1/2 (/ (pow B 2) (pow A 2)))))))> |
#<alt (* -1 A)> |
#<alt (* -1 (* A (+ 1 (* -1 (/ C A)))))> |
#<alt (* -1 (* A (+ 1 (* -1 (/ (+ C (* -1/2 (/ (pow B 2) A))) A)))))> |
#<alt (* -1 (* A (+ 1 (* -1 (/ (+ C (* -1 (/ (+ (* 1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A))) A)))))> |
#<alt (- C A)> |
#<alt (- (+ C (* 1/2 (/ (pow B 2) (- C A)))) A)> |
#<alt (- (+ C (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A)))))) A)> |
#<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)> |
#<alt B> |
#<alt (* B (+ 1 (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))> |
#<alt (* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (* 1/2 (/ (pow (- C A) 2) (pow B 2))))))> |
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#<alt (* -1 B)> |
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#<alt -1> |
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#<alt (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))> |
#<alt (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))> |
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#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))> |
#<alt (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))> |
#<alt (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))> |
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#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
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#<alt (* -1 B)> |
#<alt (* B (- (/ C B) (+ 1 (/ A B))))> |
#<alt (* B (- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))))> |
#<alt (* B (- (+ (* 1/8 (/ (pow (- C A) 4) (pow B 4))) (/ C B)) (+ 1 (+ (* 1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))))> |
#<alt B> |
#<alt (* -1 (* B (- (* -1 (/ (- C A) B)) 1)))> |
#<alt (* -1 (* B (- (* -1 (/ (- (+ C (* 1/2 (/ (pow (- C A) 2) B))) A) B)) 1)))> |
#<alt (* -1 (* B (- (* -1 (/ (- (+ C (* -1 (/ (- (* 1/8 (/ (pow (- C A) 4) (pow B 2))) (* 1/2 (pow (- C A) 2))) B))) A) B)) 1)))> |
#<alt (* -1/2 (/ (pow B 2) C))> |
#<alt (* -1/2 (/ (pow B 2) C))> |
#<alt (* -1/2 (/ (pow B 2) C))> |
#<alt (* -1/2 (/ (pow B 2) C))> |
#<alt (* -1/2 (/ (pow B 2) C))> |
#<alt (* -1/2 (/ (pow B 2) C))> |
#<alt (* -1/2 (/ (pow B 2) C))> |
#<alt (* -1/2 (/ (pow B 2) C))> |
#<alt (* -1/2 (/ (pow B 2) C))> |
#<alt (* -1/2 (/ (pow B 2) C))> |
#<alt (* -1/2 (/ (pow B 2) C))> |
#<alt (* -1/2 (/ (pow B 2) C))> |
#<alt (* -1/2 (/ (pow B 2) C))> |
#<alt (* -1/2 (/ (pow B 2) C))> |
#<alt (* -1/2 (/ (pow B 2) C))> |
#<alt (* -1/2 (/ (pow B 2) C))> |
#<alt (* -1/2 (/ (pow B 2) C))> |
#<alt (* -1/2 (/ (pow B 2) C))> |
#<alt (* -1/2 (/ (pow B 2) C))> |
#<alt (* -1/2 (/ (pow B 2) C))> |
#<alt (* -1/2 (/ (pow B 2) C))> |
#<alt (* -1/2 (/ (pow B 2) C))> |
#<alt (* -1/2 (/ (pow B 2) C))> |
#<alt (* -1/2 (/ (pow B 2) C))> |
#<alt (sqrt (+ (pow B 2) (pow C 2)))> |
#<alt (+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))> |
#<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)))))))))> |
#<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))))))))))> |
#<alt A> |
#<alt (* A (+ 1 (* -1 (/ C A))))> |
#<alt (* A (+ 1 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2))))))> |
#<alt (* A (+ 1 (+ (* -1 (/ C A)) (+ (* 1/2 (/ (* (pow B 2) C) (pow A 3))) (* 1/2 (/ (pow B 2) (pow A 2)))))))> |
#<alt (* -1 A)> |
#<alt (* -1 (* A (+ 1 (* -1 (/ C A)))))> |
#<alt (* -1 (* A (+ 1 (* -1 (/ (+ C (* -1/2 (/ (pow B 2) A))) A)))))> |
#<alt (* -1 (* A (+ 1 (* -1 (/ (+ C (* -1 (/ (+ (* 1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A))) A)))))> |
#<alt (sqrt (+ (pow A 2) (pow B 2)))> |
#<alt (+ (sqrt (+ (pow A 2) (pow B 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))> |
#<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)))))))))> |
#<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))))))))))> |
#<alt C> |
#<alt (* C (+ 1 (* -1 (/ A C))))> |
#<alt (* C (+ 1 (+ (* -1 (/ A C)) (* 1/2 (/ (pow B 2) (pow C 2))))))> |
#<alt (* C (+ 1 (+ (* -1 (/ A C)) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 3))) (* 1/2 (/ (pow B 2) (pow C 2)))))))> |
#<alt (* -1 C)> |
#<alt (* -1 (* C (+ 1 (* -1 (/ A C)))))> |
#<alt (* -1 (* C (+ 1 (* -1 (/ (+ A (* -1/2 (/ (pow B 2) C))) C)))))> |
#<alt (* -1 (* C (+ 1 (* -1 (/ (+ A (* -1 (/ (+ (* 1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C))) C)))))> |
#<alt (- A C)> |
#<alt (- (+ A (* 1/2 (/ (pow B 2) (- A C)))) C)> |
#<alt (- (+ A (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) C)> |
#<alt (- (+ 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)> |
#<alt B> |
#<alt (* B (+ 1 (* 1/2 (/ (pow (- A C) 2) (pow B 2)))))> |
#<alt (* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (* 1/2 (/ (pow (- A C) 2) (pow B 2))))))> |
#<alt (* 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)))))))> |
#<alt (* -1 B)> |
#<alt (* -1 (* B (+ 1 (* 1/2 (/ (pow (- A C) 2) (pow B 2))))))> |
#<alt (* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (* 1/2 (/ (pow (- A C) 2) (pow B 2)))))))> |
#<alt (* -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))))))))> |
#<alt (* -1 (+ A (sqrt (+ (pow A 2) (pow B 2)))))> |
#<alt (- (* C (- 1 (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2)))))> |
#<alt (- (* 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)))))> |
#<alt (- (* 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)))))> |
#<alt (* -1 (+ A (* -1 A)))> |
#<alt (- (* -1/2 (/ (pow B 2) C)) (+ A (* -1 A)))> |
#<alt (- (* -1/2 (/ (* A (pow B 2)) (pow C 2))) (+ A (+ (* -1 A) (* 1/2 (/ (pow B 2) C)))))> |
#<alt (- (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (pow C 3))) (+ A (+ (* -1 A) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 2))) (* 1/2 (/ (pow B 2) C))))))> |
#<alt (* 2 C)> |
#<alt (* -1 (* C (- (* 2 (/ A C)) 2)))> |
#<alt (* -1 (* C (- (* -1 (/ (- (* 1/2 (/ (pow B 2) C)) (* 2 A)) C)) 2)))> |
#<alt (* -1 (* C (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C)) (* 2 A)) C)) 2)))> |
#<alt (- C (sqrt (+ (pow B 2) (pow C 2))))> |
#<alt (- (+ C (* -1 (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2))))> |
#<alt (- (+ C (* A (- (* -1/2 (* (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2))))> |
#<alt (- (+ C (* A (- (* A (- (* -1/2 (* (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow B 2) (pow C 2)))) (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2))))> |
#<alt (* -2 A)> |
#<alt (* A (- (/ C A) (+ 2 (* -1 (/ C A)))))> |
#<alt (* A (- (+ (* -1/2 (/ (pow B 2) (pow A 2))) (/ C A)) (+ 2 (* -1 (/ C A)))))> |
#<alt (* A (- (+ (* -1/2 (/ (* (pow B 2) C) (pow A 3))) (/ C A)) (+ 2 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2)))))))> |
#<alt (* 1/2 (/ (pow B 2) A))> |
#<alt (* -1 (/ (- (* -1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) A)) (* -1/2 (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A))> |
#<alt (- (* 2 C) (* 2 A))> |
#<alt (- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A))> |
#<alt (- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A))> |
#<alt (- (+ (* 2 C) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) (* 2 A))> |
#<alt (* -1 B)> |
#<alt (* B (- (/ C B) (+ 1 (/ A B))))> |
#<alt (* B (- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))))> |
#<alt (* B (- (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B)) (+ 1 (+ (* 1/2 (/ (pow (- A C) 2) (pow B 2))) (/ A B)))))> |
#<alt B> |
#<alt (* -1 (* B (- (* -1 (/ (- C A) B)) 1)))> |
#<alt (* -1 (* B (- (* -1 (/ (- (+ C (* 1/2 (/ (pow (- A C) 2) B))) A) B)) 1)))> |
#<alt (* -1 (* B (- (* -1 (/ (- (+ C (* -1 (/ (- (* 1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) A) B)) 1)))> |
153 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 29.0ms | A | @ | inf | (* 180 (/ (atan (/ (* B 1/2) A)) (PI))) |
| 10.0ms | A | @ | -inf | (/ (* 180 (atan (/ (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B)))) B))) (PI)) |
| 6.0ms | B | @ | -inf | (* 180 (/ (atan (* (/ 1 B) (/ (* (* B B) -1/2) C))) (PI))) |
| 3.0ms | C | @ | 0 | (sqrt (+ (* (- C A) (- C A)) (* B B))) |
| 1.0ms | A | @ | inf | (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) (PI))) |
| 1× | batch-egg-rewrite |
| 4 634× | lower-*.f32 |
| 4 622× | lower-/.f32 |
| 4 614× | lower-*.f64 |
| 4 604× | lower-/.f64 |
| 1 844× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 266 |
| 0 | 75 | 260 |
| 1 | 263 | 246 |
| 2 | 1936 | 230 |
| 0 | 8238 | 200 |
| 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(literal -1 binary64)) (PI.f64))) |
(/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64)) |
(atan.f64 #s(literal -1 binary64)) |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
(/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64)) |
(atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
(/.f64 (*.f64 B #s(literal 1/2 binary64)) A) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C))) (PI.f64))) |
(/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C))) (PI.f64)) |
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C))) |
(/.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 #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))) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) |
(/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B) |
(-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)) |
(/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C) |
(sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) |
(-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) |
| 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) (exp.f64 (log.f64 B))) |
(hypot.f64 B (-.f64 C A)) |
(hypot.f64 B (exp.f64 (log.f64 (-.f64 C A)))) |
(hypot.f64 (exp.f64 (log.f64 (-.f64 C A))) B) |
(hypot.f64 (exp.f64 (log.f64 (-.f64 C A))) (exp.f64 (log.f64 B))) |
(hypot.f64 (exp.f64 (log.f64 B)) (-.f64 C A)) |
(hypot.f64 (exp.f64 (log.f64 B)) (exp.f64 (log.f64 (-.f64 C A)))) |
(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 B B) (-.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.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 B B) (-.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.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 B B) (-.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.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 B B) (-.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.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 B B) (-.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.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 B B) (-.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 (-.f64 C A) (-.f64 C A))))))) |
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(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 (fma.f64 C C (*.f64 A (+.f64 C A))) (-.f64 C A))) (sqrt.f64 (fma.f64 (*.f64 B B) (-.f64 (*.f64 B B) (*.f64 (-.f64 A C) (-.f64 A C))) (*.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 (-.f64 A C) (-.f64 A C)))))) (*.f64 (neg.f64 (fma.f64 C C (*.f64 A (+.f64 C A)))) (sqrt.f64 (fma.f64 (*.f64 B B) (*.f64 B (*.f64 B (*.f64 B B))) (*.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 (-.f64 A C) (-.f64 A C)))))))) (*.f64 (neg.f64 (fma.f64 C C (*.f64 A (+.f64 C A)))) (sqrt.f64 (fma.f64 (*.f64 B B) (-.f64 (*.f64 B B) (*.f64 (-.f64 A C) (-.f64 A C))) (*.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 (-.f64 A C) (-.f64 A C))))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 (fma.f64 C C (*.f64 A (+.f64 C A))) (-.f64 C A))) (sqrt.f64 (*.f64 (+.f64 (-.f64 A C) B) (-.f64 (-.f64 A C) B)))) (*.f64 (neg.f64 (fma.f64 C C (*.f64 A (+.f64 C A)))) (sqrt.f64 (*.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)) (*.f64 (+.f64 (-.f64 A C) B) (-.f64 (-.f64 A C) B)))))) (*.f64 (neg.f64 (fma.f64 C C (*.f64 A (+.f64 C A)))) (sqrt.f64 (*.f64 (+.f64 (-.f64 A C) B) (-.f64 (-.f64 A C) B))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 (+.f64 C A) (-.f64 C A))) (sqrt.f64 (fma.f64 (*.f64 B B) (-.f64 (*.f64 B B) (*.f64 (-.f64 A C) (-.f64 A C))) (*.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 (-.f64 A C) (-.f64 A C)))))) (*.f64 (neg.f64 (+.f64 C A)) (sqrt.f64 (fma.f64 (*.f64 B B) (*.f64 B (*.f64 B (*.f64 B B))) (*.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 (-.f64 A C) (-.f64 A C)))))))) (*.f64 (neg.f64 (+.f64 C A)) (sqrt.f64 (fma.f64 (*.f64 B B) (-.f64 (*.f64 B B) (*.f64 (-.f64 A C) (-.f64 A C))) (*.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 (-.f64 A C) (-.f64 A C))))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 (+.f64 C A) (-.f64 C A))) (sqrt.f64 (*.f64 (+.f64 (-.f64 A C) B) (-.f64 (-.f64 A C) B)))) (*.f64 (neg.f64 (+.f64 C A)) (sqrt.f64 (*.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)) (*.f64 (+.f64 (-.f64 A C) B) (-.f64 (-.f64 A C) B)))))) (*.f64 (neg.f64 (+.f64 C A)) (sqrt.f64 (*.f64 (+.f64 (-.f64 A C) B) (-.f64 (-.f64 A C) B))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 C C (*.f64 A (+.f64 C A))) (-.f64 C A)) (sqrt.f64 (fma.f64 (*.f64 B B) (-.f64 (*.f64 B B) (*.f64 (-.f64 A C) (-.f64 A C))) (*.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 (-.f64 A C) (-.f64 A C)))))) (*.f64 (fma.f64 C C (-.f64 (*.f64 A A) (*.f64 C (neg.f64 A)))) (sqrt.f64 (fma.f64 (*.f64 B B) (*.f64 B (*.f64 B (*.f64 B B))) (*.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 (-.f64 A C) (-.f64 A C)))))))) (*.f64 (fma.f64 C C (-.f64 (*.f64 A A) (*.f64 C (neg.f64 A)))) (sqrt.f64 (fma.f64 (*.f64 B B) (-.f64 (*.f64 B B) (*.f64 (-.f64 A C) (-.f64 A C))) (*.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 (-.f64 A C) (-.f64 A C))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 C C (*.f64 A (+.f64 C A))) (-.f64 C A)) (sqrt.f64 (*.f64 (+.f64 (-.f64 A C) B) (-.f64 (-.f64 A C) B)))) (*.f64 (fma.f64 C C (-.f64 (*.f64 A A) (*.f64 C (neg.f64 A)))) (sqrt.f64 (*.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)) (*.f64 (+.f64 (-.f64 A C) B) (-.f64 (-.f64 A C) B)))))) (*.f64 (fma.f64 C C (-.f64 (*.f64 A A) (*.f64 C (neg.f64 A)))) (sqrt.f64 (*.f64 (+.f64 (-.f64 A C) B) (-.f64 (-.f64 A C) B))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 C A) (-.f64 C A)) (sqrt.f64 (fma.f64 (*.f64 B B) (-.f64 (*.f64 B B) (*.f64 (-.f64 A C) (-.f64 A C))) (*.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 (-.f64 A C) (-.f64 A C)))))) (*.f64 (-.f64 C (neg.f64 A)) (sqrt.f64 (fma.f64 (*.f64 B B) (*.f64 B (*.f64 B (*.f64 B B))) (*.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 (-.f64 A C) (-.f64 A C)))))))) (*.f64 (-.f64 C (neg.f64 A)) (sqrt.f64 (fma.f64 (*.f64 B B) (-.f64 (*.f64 B B) (*.f64 (-.f64 A C) (-.f64 A C))) (*.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 (-.f64 A C) (-.f64 A C))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 C A) (-.f64 C A)) (sqrt.f64 (*.f64 (+.f64 (-.f64 A C) B) (-.f64 (-.f64 A C) B)))) (*.f64 (-.f64 C (neg.f64 A)) (sqrt.f64 (*.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)) (*.f64 (+.f64 (-.f64 A C) B) (-.f64 (-.f64 A C) B)))))) (*.f64 (-.f64 C (neg.f64 A)) (sqrt.f64 (*.f64 (+.f64 (-.f64 A C) B) (-.f64 (-.f64 A C) B))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (fma.f64 (-.f64 C A) (-.f64 C A) (fma.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) (*.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (fma.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) (*.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))) (*.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (fma.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) (fma.f64 (-.f64 C A) (-.f64 C A) (fma.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (+.f64 (-.f64 C A) (sqrt.f64 (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)))) (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)))) (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (fma.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) (neg.f64 (neg.f64 (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 C (*.f64 C C)) (*.f64 (+.f64 A (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) (*.f64 (+.f64 A (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) (+.f64 A (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))))) (neg.f64 (fma.f64 C C (fma.f64 (+.f64 A (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) (+.f64 A (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) (*.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 C C) (*.f64 (+.f64 A (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) (+.f64 A (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))))) (neg.f64 (+.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))))) |
(pow.f64 (/.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (fma.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) (-.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) (-.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) #s(literal -1 binary64)) |
(*.f64 (-.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 C A) (-.f64 C A) (fma.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))) |
(*.f64 (-.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))) |
| 1× | egg-herbie |
| 8 958× | lower-fma.f64 |
| 8 958× | lower-fma.f32 |
| 5 458× | lower-*.f64 |
| 5 458× | lower-*.f32 |
| 4 184× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 723 | 10674 |
| 1 | 2212 | 10288 |
| 2 | 6807 | 10162 |
| 0 | 8606 | 8690 |
| 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)) |
(* -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)) |
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(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- 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)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(* -1 (/ (+ 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))))) |
(- (* C (- 1 (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(- (* C (- (+ 1 (* -1/2 (* (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(- (* C (- (+ 1 (* C (- (* -1/2 (* (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow A 2) (pow B 2)))) (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(* -1 (+ A (* -1 A))) |
(- (* -1/2 (/ (pow B 2) C)) (+ A (* -1 A))) |
(- (* -1/2 (/ (* A (pow B 2)) (pow C 2))) (+ A (+ (* -1 A) (* 1/2 (/ (pow B 2) C))))) |
(- (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (pow C 3))) (+ A (+ (* -1 A) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 2))) (* 1/2 (/ (pow B 2) C)))))) |
(* 2 C) |
(* -1 (* C (- (* 2 (/ A C)) 2))) |
(* -1 (* C (- (* -1 (/ (- (* 1/2 (/ (pow B 2) C)) (* 2 A)) C)) 2))) |
(* -1 (* C (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C)) (* 2 A)) C)) 2))) |
(- C (sqrt (+ (pow B 2) (pow C 2)))) |
(- (+ C (* -1 (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(- (+ C (* A (- (* -1/2 (* (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(- (+ C (* A (- (* A (- (* -1/2 (* (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow B 2) (pow C 2)))) (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(* -2 A) |
(* A (- (/ C A) (+ 2 (* -1 (/ C A))))) |
(* A (- (+ (* -1/2 (/ (pow B 2) (pow A 2))) (/ C A)) (+ 2 (* -1 (/ C A))))) |
(* A (- (+ (* -1/2 (/ (* (pow B 2) C) (pow A 3))) (/ C A)) (+ 2 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(* 1/2 (/ (pow B 2) A)) |
(* -1 (/ (- (* -1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A)) |
(* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) A)) (* -1/2 (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(* -1/2 (/ (pow B 2) (- C A))) |
(* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A))))) |
(* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(* (pow B 2) (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow (- C A) 7))) (* 1/16 (/ 1 (pow (- C A) 5))))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(* -1 B) |
(* B (- (/ C B) (+ 1 (/ A B)))) |
(* B (- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B)))) |
(* B (- (+ (* 1/8 (/ (pow (- C A) 4) (pow B 4))) (/ C B)) (+ 1 (+ (* 1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B))))) |
B |
(* -1 (* B (- (* -1 (/ (- C A) B)) 1))) |
(* -1 (* B (- (* -1 (/ (- (+ C (* 1/2 (/ (pow (- C A) 2) B))) A) B)) 1))) |
(* -1 (* B (- (* -1 (/ (- (+ C (* -1 (/ (- (* 1/8 (/ (pow (- C A) 4) (pow B 2))) (* 1/2 (pow (- C A) 2))) B))) A) B)) 1))) |
(* -1/2 (/ (pow B 2) C)) |
(* -1/2 (/ (pow B 2) C)) |
(* -1/2 (/ (pow B 2) C)) |
(* -1/2 (/ (pow B 2) C)) |
(* -1/2 (/ (pow B 2) C)) |
(* -1/2 (/ (pow B 2) C)) |
(* -1/2 (/ (pow B 2) C)) |
(* -1/2 (/ (pow B 2) C)) |
(* -1/2 (/ (pow B 2) C)) |
(* -1/2 (/ (pow B 2) C)) |
(* -1/2 (/ (pow B 2) C)) |
(* -1/2 (/ (pow B 2) C)) |
(* -1/2 (/ (pow B 2) C)) |
(* -1/2 (/ (pow B 2) C)) |
(* -1/2 (/ (pow B 2) C)) |
(* -1/2 (/ (pow B 2) C)) |
(* -1/2 (/ (pow B 2) C)) |
(* -1/2 (/ (pow B 2) C)) |
(* -1/2 (/ (pow B 2) C)) |
(* -1/2 (/ (pow B 2) C)) |
(* -1/2 (/ (pow B 2) C)) |
(* -1/2 (/ (pow B 2) C)) |
(* -1/2 (/ (pow B 2) C)) |
(* -1/2 (/ (pow B 2) C)) |
(sqrt (+ (pow B 2) (pow C 2))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* A (+ (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (* 1/2 (* (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* A (+ (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (* A (+ (* 1/2 (* (sqrt (/ 1 (+ (pow B 2) (pow C 2)))) (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (* 1/2 (* (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3)))))))))) |
A |
(* A (+ 1 (* -1 (/ C A)))) |
(* A (+ 1 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2)))))) |
(* A (+ 1 (+ (* -1 (/ C A)) (+ (* 1/2 (/ (* (pow B 2) C) (pow A 3))) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(* -1 A) |
(* -1 (* A (+ 1 (* -1 (/ C A))))) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1/2 (/ (pow B 2) A))) A))))) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1 (/ (+ (* 1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A))) A))))) |
(sqrt (+ (pow A 2) (pow B 2))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* C (+ (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (* 1/2 (* (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* C (+ (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (* C (+ (* 1/2 (* (sqrt (/ 1 (+ (pow A 2) (pow B 2)))) (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (* 1/2 (* (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3)))))))))) |
C |
(* C (+ 1 (* -1 (/ A C)))) |
(* C (+ 1 (+ (* -1 (/ A C)) (* 1/2 (/ (pow B 2) (pow C 2)))))) |
(* C (+ 1 (+ (* -1 (/ A C)) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 3))) (* 1/2 (/ (pow B 2) (pow C 2))))))) |
(* -1 C) |
(* -1 (* C (+ 1 (* -1 (/ A C))))) |
(* -1 (* C (+ 1 (* -1 (/ (+ A (* -1/2 (/ (pow B 2) C))) C))))) |
(* -1 (* C (+ 1 (* -1 (/ (+ A (* -1 (/ (+ (* 1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C))) C))))) |
(- A C) |
(- (+ A (* 1/2 (/ (pow B 2) (- A C)))) C) |
(- (+ A (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) C) |
(- (+ A (* (pow B 2) (+ (* (pow B 2) (- (* 1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) C) |
B |
(* B (+ 1 (* 1/2 (/ (pow (- A C) 2) (pow B 2))))) |
(* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (* 1/2 (/ (pow (- A C) 2) (pow B 2)))))) |
(* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (+ (* 1/16 (/ (pow (- A C) 6) (pow B 6))) (* 1/2 (/ (pow (- A C) 2) (pow B 2))))))) |
(* -1 B) |
(* -1 (* B (+ 1 (* 1/2 (/ (pow (- A C) 2) (pow B 2)))))) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (* 1/2 (/ (pow (- A C) 2) (pow B 2))))))) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (+ (* 1/16 (/ (pow (- A C) 6) (pow B 6))) (* 1/2 (/ (pow (- A C) 2) (pow B 2)))))))) |
(* -1 (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(- (* C (- 1 (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(- (* C (- (+ 1 (* -1/2 (* (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(- (* C (- (+ 1 (* C (- (* -1/2 (* (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow A 2) (pow B 2)))) (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(* -1 (+ A (* -1 A))) |
(- (* -1/2 (/ (pow B 2) C)) (+ A (* -1 A))) |
(- (* -1/2 (/ (* A (pow B 2)) (pow C 2))) (+ A (+ (* -1 A) (* 1/2 (/ (pow B 2) C))))) |
(- (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (pow C 3))) (+ A (+ (* -1 A) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 2))) (* 1/2 (/ (pow B 2) C)))))) |
(* 2 C) |
(* -1 (* C (- (* 2 (/ A C)) 2))) |
(* -1 (* C (- (* -1 (/ (- (* 1/2 (/ (pow B 2) C)) (* 2 A)) C)) 2))) |
(* -1 (* C (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C)) (* 2 A)) C)) 2))) |
(- C (sqrt (+ (pow B 2) (pow C 2)))) |
(- (+ C (* -1 (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(- (+ C (* A (- (* -1/2 (* (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(- (+ C (* A (- (* A (- (* -1/2 (* (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow B 2) (pow C 2)))) (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(* -2 A) |
(* A (- (/ C A) (+ 2 (* -1 (/ C A))))) |
(* A (- (+ (* -1/2 (/ (pow B 2) (pow A 2))) (/ C A)) (+ 2 (* -1 (/ C A))))) |
(* A (- (+ (* -1/2 (/ (* (pow B 2) C) (pow A 3))) (/ C A)) (+ 2 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(* 1/2 (/ (pow B 2) A)) |
(* -1 (/ (- (* -1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A)) |
(* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) A)) (* -1/2 (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(- (* 2 C) (* 2 A)) |
(- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) |
(- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) |
(- (+ (* 2 C) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) |
(* -1 B) |
(* B (- (/ C B) (+ 1 (/ A B)))) |
(* B (- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B)))) |
(* B (- (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B)) (+ 1 (+ (* 1/2 (/ (pow (- A C) 2) (pow B 2))) (/ A B))))) |
B |
(* -1 (* B (- (* -1 (/ (- C A) B)) 1))) |
(* -1 (* B (- (* -1 (/ (- (+ C (* 1/2 (/ (pow (- A C) 2) B))) A) B)) 1))) |
(* -1 (* B (- (* -1 (/ (- (+ C (* -1 (/ (- (* 1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) A) B)) 1))) |
| Outputs |
|---|
(sqrt (+ (pow A 2) (pow B 2))) |
(sqrt.f64 (fma.f64 A A (*.f64 B B))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) |
(fma.f64 C (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (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)))))) (* 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 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)))))))))) |
(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))))) (neg.f64 A)) (*.f64 (*.f64 C (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 A C)) (-.f64 #s(literal 1 binary64) (*.f64 A (/.f64 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)))))))) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) |
C |
(* C (+ 1 (* -1 (/ A C)))) |
(fma.f64 C (/.f64 (neg.f64 A) 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 B (/.f64 B (*.f64 C C)) (/.f64 (*.f64 A (*.f64 B B)) (*.f64 C (*.f64 C C)))) (/.f64 (neg.f64 A) C)) C) |
(* -1 C) |
(neg.f64 C) |
(* -1 (* C (+ 1 (* -1 (/ A C))))) |
(+.f64 (neg.f64 C) (*.f64 C (/.f64 A C))) |
(* -1 (* C (+ 1 (* -1 (/ (+ A (* -1/2 (/ (pow B 2) C))) C))))) |
(neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) C) A) C) (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 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 A (/.f64 (*.f64 B B) C) (*.f64 B B)) C) (neg.f64 A)) C) C)) |
(sqrt (+ (pow B 2) (pow C 2))) |
(sqrt.f64 (fma.f64 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 A) C) (sqrt.f64 (fma.f64 C C (*.f64 B B)))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* A (+ (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (* 1/2 (* (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))))) |
(fma.f64 A (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) A) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 C C) (fma.f64 C C (*.f64 B B)))) (neg.f64 C))) (sqrt.f64 (fma.f64 C C (*.f64 B B)))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* A (+ (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (* A (+ (* 1/2 (* (sqrt (/ 1 (+ (pow B 2) (pow C 2)))) (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (* 1/2 (* (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3)))))))))) |
(fma.f64 A (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) A) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 C C) (fma.f64 C C (*.f64 B B)))) (neg.f64 C)) (*.f64 (*.f64 (*.f64 A C) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 C C) (fma.f64 C C (*.f64 B B)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 C C (*.f64 B B)) (*.f64 (fma.f64 C C (*.f64 B B)) (fma.f64 C C (*.f64 B B)))))))) (*.f64 #s(literal 1/2 binary64) A))) (sqrt.f64 (fma.f64 C C (*.f64 B B)))) |
A |
(* A (+ 1 (* -1 (/ C A)))) |
(fma.f64 (/.f64 C A) (neg.f64 A) A) |
(* A (+ 1 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2)))))) |
(fma.f64 A (-.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 (fma.f64 #s(literal 1/2 binary64) (fma.f64 B (/.f64 B (*.f64 A A)) (/.f64 (*.f64 (*.f64 B B) C) (*.f64 A (*.f64 A A)))) (/.f64 C (neg.f64 A))) A) |
(* -1 A) |
(neg.f64 A) |
(* -1 (* A (+ 1 (* -1 (/ C A))))) |
(+.f64 (neg.f64 A) (*.f64 A (/.f64 C A))) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1/2 (/ (pow B 2) A))) A))))) |
(neg.f64 (fma.f64 A (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) A) C) (neg.f64 A)) A)) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1 (/ (+ (* 1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A))) A))))) |
(neg.f64 (fma.f64 A (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 B B (/.f64 (*.f64 (*.f64 B B) C) A)) A) (neg.f64 C)) A) A)) |
(- C A) |
(-.f64 C A) |
(- (+ C (* 1/2 (/ (pow B 2) (- C A)))) A) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 C A)) B) B (-.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 #s(literal -1/8 binary64) (/.f64 (*.f64 B B) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A)))) (/.f64 #s(literal 1/2 binary64) (-.f64 C A))) (-.f64 C A)) |
(- (+ C (* (pow B 2) (+ (* (pow B 2) (- (* 1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A)))))) A) |
(fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 B B) (pow.f64 (-.f64 C A) #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))))) (/.f64 #s(literal 1/2 binary64) (-.f64 C A))) (-.f64 C A)) |
B |
(* B (+ 1 (* 1/2 (/ (pow (- C A) 2) (pow B 2))))) |
(fma.f64 B (*.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (/.f64 #s(literal 1/2 binary64) (*.f64 B B))) B) |
(* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))) |
(fma.f64 B (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 B B)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 C A) #s(literal 4 binary64))) (*.f64 (*.f64 B B) (*.f64 B B)))) B) |
(* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (+ (* 1/16 (/ (pow (- C A) 6) (pow B 6))) (* 1/2 (/ (pow (- C A) 2) (pow B 2))))))) |
(fma.f64 B (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 B B)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (-.f64 C A) #s(literal 4 binary64)) (*.f64 (*.f64 B B) (*.f64 B B))) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (-.f64 C A) #s(literal 6 binary64))) (pow.f64 B #s(literal 6 binary64))))) B) |
(* -1 B) |
(neg.f64 B) |
(* -1 (* B (+ 1 (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))) |
(*.f64 (neg.f64 B) (fma.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (/.f64 #s(literal 1/2 binary64) (*.f64 B B)) #s(literal 1 binary64))) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (* 1/2 (/ (pow (- C A) 2) (pow B 2))))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 B B)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (-.f64 C A) #s(literal 4 binary64)) (*.f64 (*.f64 B B) (*.f64 B B))) #s(literal 1 binary64))) (neg.f64 B)) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (+ (* 1/16 (/ (pow (- C A) 6) (pow B 6))) (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))))) |
(neg.f64 (fma.f64 B (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 B B)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (-.f64 C A) #s(literal 4 binary64)) (*.f64 (*.f64 B B) (*.f64 B B))) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (-.f64 C A) #s(literal 6 binary64))) (pow.f64 B #s(literal 6 binary64))))) B)) |
(* -1/2 (/ B (- C A))) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A)) |
(* B (- (* 1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A))))) |
(*.f64 B (fma.f64 (*.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)))) |
(* B (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (/.f64 (*.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)))) |
(* 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 A C)))) |
-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))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 B B)) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) |
(- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- C A) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 B B)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 C A) #s(literal 4 binary64)) (*.f64 (*.f64 B B) (*.f64 B B))) (+.f64 (/.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 C A) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 C A) (-.f64 C A)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (/.f64 A B) (/.f64 #s(literal 1 binary64) B))) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(fma.f64 C (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) C) (-.f64 #s(literal 1 binary64) (*.f64 A (/.f64 A (fma.f64 A A (*.f64 B B)))))) B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (/.f64 A B) (/.f64 #s(literal 1 binary64) B))) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B))) |
(+ (* -1 (/ (+ A (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 A (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) B) (fma.f64 (*.f64 C #s(literal -1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 A A (*.f64 B B)) (*.f64 (fma.f64 A A (*.f64 B B)) (fma.f64 A A (*.f64 B B)))))) (/.f64 (*.f64 (*.f64 A C) (-.f64 #s(literal 1 binary64) (*.f64 A (/.f64 A (fma.f64 A A (*.f64 B B)))))) B) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (-.f64 #s(literal 1 binary64) (*.f64 A (/.f64 A (fma.f64 A A (*.f64 B B)))))) B)) (/.f64 #s(literal 1 binary64) B))) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B))) |
(* -1 (/ (+ A (* -1 A)) B)) |
#s(literal 0 binary64) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 A (/.f64 B (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 A (/.f64 B (*.f64 C C)) (/.f64 B C)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/4 binary64)) (*.f64 A (*.f64 A (*.f64 B B)))) (*.f64 B (*.f64 C (*.f64 C C)))) #s(literal 0 binary64))) |
(* 2 (/ C B)) |
(/.f64 (*.f64 #s(literal 2 binary64) C) B) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(*.f64 (fma.f64 A (/.f64 #s(literal 2 binary64) (*.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 C (+.f64 (/.f64 (fma.f64 A (/.f64 #s(literal -2 binary64) B) (*.f64 #s(literal 1/2 binary64) (/.f64 B C))) C) (/.f64 #s(literal 2 binary64) B))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(*.f64 C (+.f64 (/.f64 (fma.f64 A (/.f64 #s(literal -2 binary64) B) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 A (/.f64 B C) B)) C)) 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 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)) |
(- (+ (* 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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(*.f64 (/.f64 A B) #s(literal -2 binary64)) |
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(/.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 -1/2 binary64) (/.f64 (*.f64 B B) (-.f64 A C)) (*.f64 #s(literal 2 binary64) (-.f64 C A))) B) |
(/ (- (+ (* 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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#s(literal -1 binary64) |
(- (/ C B) (+ 1 (/ A B))) |
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(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
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(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
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1 |
#s(literal 1 binary64) |
(- (+ 1 (/ C B)) (/ A B)) |
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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))))) |
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(- (* 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))))) |
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(* -1 (+ A (* -1 A))) |
#s(literal 0 binary64) |
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(/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C) |
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(* 2 C) |
(*.f64 #s(literal 2 binary64) C) |
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(* -2 A) |
(*.f64 A #s(literal -2 binary64)) |
(* A (- (/ C A) (+ 2 (* -1 (/ C A))))) |
(*.f64 A (+.f64 (/.f64 C A) (+.f64 (/.f64 C A) #s(literal -2 binary64)))) |
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(* 1/2 (/ (pow B 2) A)) |
(/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) A) |
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(* -1/2 (/ (pow B 2) (- C A))) |
(/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) (-.f64 C A)) |
(* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A))))) |
(*.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/8 binary64) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A)))) (/.f64 #s(literal 1/2 binary64) (-.f64 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))))) |
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(* (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))))) |
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(* -1 B) |
(neg.f64 B) |
(* B (- (/ C B) (+ 1 (/ A B)))) |
(*.f64 B (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) |
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(* B (- (+ (* 1/8 (/ (pow (- C A) 4) (pow B 4))) (/ C B)) (+ 1 (+ (* 1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B))))) |
(*.f64 B (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 B B)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 C A) #s(literal 4 binary64)) (*.f64 (*.f64 B B) (*.f64 B B))) (+.f64 (/.f64 (-.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 (- C A) 2) B))) A) B)) 1))) |
(*.f64 (neg.f64 B) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) B) (-.f64 C A)) B))) |
(* -1 (* B (- (* -1 (/ (- (+ C (* -1 (/ (- (* 1/8 (/ (pow (- C A) 4) (pow B 2))) (* 1/2 (pow (- C A) 2))) B))) A) B)) 1))) |
(*.f64 (neg.f64 B) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 C (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 C A) (-.f64 C A)) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 C A) #s(literal 4 binary64))) (*.f64 B B))) B)) A) B))) |
(* -1/2 (/ (pow B 2) C)) |
(/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C) |
(* -1/2 (/ (pow B 2) C)) |
(/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C) |
(* -1/2 (/ (pow B 2) C)) |
(/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C) |
(* -1/2 (/ (pow B 2) C)) |
(/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C) |
(* -1/2 (/ (pow B 2) C)) |
(/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C) |
(* -1/2 (/ (pow B 2) C)) |
(/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C) |
(* -1/2 (/ (pow B 2) C)) |
(/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C) |
(* -1/2 (/ (pow B 2) C)) |
(/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C) |
(* -1/2 (/ (pow B 2) C)) |
(/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C) |
(* -1/2 (/ (pow B 2) C)) |
(/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C) |
(* -1/2 (/ (pow B 2) C)) |
(/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C) |
(* -1/2 (/ (pow B 2) C)) |
(/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C) |
(* -1/2 (/ (pow B 2) C)) |
(/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C) |
(* -1/2 (/ (pow B 2) C)) |
(/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C) |
(* -1/2 (/ (pow B 2) C)) |
(/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C) |
(* -1/2 (/ (pow B 2) C)) |
(/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C) |
(* -1/2 (/ (pow B 2) C)) |
(/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C) |
(* -1/2 (/ (pow B 2) C)) |
(/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C) |
(* -1/2 (/ (pow B 2) C)) |
(/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C) |
(* -1/2 (/ (pow B 2) C)) |
(/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C) |
(* -1/2 (/ (pow B 2) C)) |
(/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C) |
(* -1/2 (/ (pow B 2) C)) |
(/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C) |
(* -1/2 (/ (pow B 2) C)) |
(/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C) |
(* -1/2 (/ (pow B 2) C)) |
(/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) 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 A) C) (sqrt.f64 (fma.f64 C C (*.f64 B B)))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* A (+ (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (* 1/2 (* (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))))) |
(fma.f64 A (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) A) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 C C) (fma.f64 C C (*.f64 B B)))) (neg.f64 C))) (sqrt.f64 (fma.f64 C C (*.f64 B B)))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* A (+ (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (* A (+ (* 1/2 (* (sqrt (/ 1 (+ (pow B 2) (pow C 2)))) (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (* 1/2 (* (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3)))))))))) |
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A |
(* A (+ 1 (* -1 (/ C A)))) |
(fma.f64 (/.f64 C A) (neg.f64 A) A) |
(* A (+ 1 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2)))))) |
(fma.f64 A (-.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 (fma.f64 #s(literal 1/2 binary64) (fma.f64 B (/.f64 B (*.f64 A A)) (/.f64 (*.f64 (*.f64 B B) C) (*.f64 A (*.f64 A A)))) (/.f64 C (neg.f64 A))) A) |
(* -1 A) |
(neg.f64 A) |
(* -1 (* A (+ 1 (* -1 (/ C A))))) |
(+.f64 (neg.f64 A) (*.f64 A (/.f64 C A))) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1/2 (/ (pow B 2) A))) A))))) |
(neg.f64 (fma.f64 A (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) A) C) (neg.f64 A)) A)) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1 (/ (+ (* 1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A))) A))))) |
(neg.f64 (fma.f64 A (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 B B (/.f64 (*.f64 (*.f64 B B) C) A)) A) (neg.f64 C)) A) A)) |
(sqrt (+ (pow A 2) (pow B 2))) |
(sqrt.f64 (fma.f64 A A (*.f64 B B))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) |
(fma.f64 C (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (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)))))) (* 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 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)))))))))) |
(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))))) (neg.f64 A)) (*.f64 (*.f64 C (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 A C)) (-.f64 #s(literal 1 binary64) (*.f64 A (/.f64 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)))))))) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) |
C |
(* C (+ 1 (* -1 (/ A C)))) |
(fma.f64 C (/.f64 (neg.f64 A) 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 B (/.f64 B (*.f64 C C)) (/.f64 (*.f64 A (*.f64 B B)) (*.f64 C (*.f64 C C)))) (/.f64 (neg.f64 A) C)) C) |
(* -1 C) |
(neg.f64 C) |
(* -1 (* C (+ 1 (* -1 (/ A C))))) |
(+.f64 (neg.f64 C) (*.f64 C (/.f64 A C))) |
(* -1 (* C (+ 1 (* -1 (/ (+ A (* -1/2 (/ (pow B 2) C))) C))))) |
(neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) C) A) C) (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 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 A (/.f64 (*.f64 B B) C) (*.f64 B B)) C) (neg.f64 A)) C) C)) |
(- 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 #s(literal -1/8 binary64) (/.f64 (*.f64 B B) (*.f64 (-.f64 A C) (*.f64 (-.f64 C A) (-.f64 C A)))) (/.f64 #s(literal 1/2 binary64) (-.f64 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 B (*.f64 B (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 B B) (pow.f64 (-.f64 A C) #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 (-.f64 A C) (*.f64 (-.f64 C A) (-.f64 C A)))))) (/.f64 #s(literal 1/2 binary64) (-.f64 A C))) (-.f64 A C)) |
B |
(* B (+ 1 (* 1/2 (/ (pow (- A C) 2) (pow B 2))))) |
(fma.f64 B (*.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (/.f64 #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 -1/8 binary64) (/.f64 (pow.f64 (-.f64 A C) #s(literal 4 binary64)) (*.f64 (*.f64 B B) (*.f64 B B))) (*.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (/.f64 #s(literal 1/2 binary64) (*.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 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 B B)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (-.f64 A C) #s(literal 4 binary64)) (*.f64 (*.f64 B B) (*.f64 B B))) (/.f64 (*.f64 #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)))))) |
(*.f64 (neg.f64 B) (fma.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (/.f64 #s(literal 1/2 binary64) (*.f64 B B)) #s(literal 1 binary64))) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (* 1/2 (/ (pow (- A C) 2) (pow B 2))))))) |
(*.f64 (neg.f64 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))) (fma.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (/.f64 #s(literal 1/2 binary64) (*.f64 B B)) #s(literal 1 binary64)))) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (+ (* 1/16 (/ (pow (- A C) 6) (pow B 6))) (* 1/2 (/ (pow (- A C) 2) (pow B 2)))))))) |
(neg.f64 (fma.f64 B (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 B B)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (-.f64 A C) #s(literal 4 binary64)) (*.f64 (*.f64 B B) (*.f64 B B))) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (-.f64 A C) #s(literal 6 binary64))) (pow.f64 B #s(literal 6 binary64))))) B)) |
(* -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))))) |
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(- (* 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 A (/.f64 (*.f64 B B) C) (*.f64 B B))) C) |
(- (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (pow C 3))) (+ A (+ (* -1 A) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 2))) (* 1/2 (/ (pow B 2) C)))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/4 binary64)) (*.f64 A (*.f64 A (*.f64 B B)))) (*.f64 C (*.f64 C C))) (*.f64 #s(literal -1/2 binary64) (fma.f64 A (/.f64 (*.f64 B B) (*.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 A (/.f64 #s(literal 2 binary64) 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 A #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) C)) 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 A (/.f64 (*.f64 B B) C) (*.f64 B B)) C) (*.f64 A #s(literal -2 binary64))) C)) (neg.f64 C)) |
(- C (sqrt (+ (pow B 2) (pow C 2)))) |
(-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) |
(- (+ C (* -1 (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(fma.f64 A (fma.f64 C (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B)))) #s(literal -1 binary64)) (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B))))) |
(- (+ C (* A (- (* -1/2 (* (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(fma.f64 A (fma.f64 A (*.f64 (*.f64 #s(literal -1/2 binary64) (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))))) (fma.f64 C (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B)))) #s(literal -1 binary64))) (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B))))) |
(- (+ C (* A (- (* A (- (* -1/2 (* (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow B 2) (pow C 2)))) (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(fma.f64 A (fma.f64 A (*.f64 #s(literal -1/2 binary64) (fma.f64 A (*.f64 C (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 C C) (fma.f64 C C (*.f64 B B)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 C C (*.f64 B B)) (*.f64 (fma.f64 C C (*.f64 B B)) (fma.f64 C C (*.f64 B B)))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 C C) (fma.f64 C C (*.f64 B B))))))) (fma.f64 C (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B)))) #s(literal -1 binary64))) (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B))))) |
(* -2 A) |
(*.f64 A #s(literal -2 binary64)) |
(* A (- (/ C A) (+ 2 (* -1 (/ C A))))) |
(*.f64 A (+.f64 (/.f64 C A) (+.f64 (/.f64 C A) #s(literal -2 binary64)))) |
(* A (- (+ (* -1/2 (/ (pow B 2) (pow A 2))) (/ C A)) (+ 2 (* -1 (/ C A))))) |
(*.f64 A (+.f64 (/.f64 C A) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) (*.f64 A A)) (/.f64 C A)) #s(literal -2 binary64)))) |
(* 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 (*.f64 (*.f64 B B) C) 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 (fma.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/4 binary64) (*.f64 (neg.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 (fma.f64 (fma.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/4 binary64) (*.f64 (neg.f64 C) (*.f64 (*.f64 B B) C))) (neg.f64 C) (*.f64 C (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 B B) (*.f64 B B))))) A) (fma.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/4 binary64) (*.f64 (neg.f64 C) (*.f64 (*.f64 B B) C)))) A) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 B B) C))) A)) (neg.f64 A)) |
(- (* 2 C) (* 2 A)) |
(*.f64 #s(literal 2 binary64) (-.f64 C A)) |
(- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) (-.f64 A C)) (*.f64 #s(literal 2 binary64) (-.f64 C A))) |
(- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) |
(fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (/.f64 #s(literal -1/8 binary64) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A)))) (/.f64 #s(literal 1/2 binary64) (-.f64 C A))) (*.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 B (*.f64 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 C A) (*.f64 (-.f64 C A) (-.f64 C A))))) (/.f64 #s(literal 1/2 binary64) (-.f64 C A)))) (*.f64 #s(literal 2 binary64) (-.f64 C A))) |
(* -1 B) |
(neg.f64 B) |
(* B (- (/ C B) (+ 1 (/ A B)))) |
(*.f64 B (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) |
(* B (- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B)))) |
(*.f64 B (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 B B)) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) |
(* B (- (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B)) (+ 1 (+ (* 1/2 (/ (pow (- A C) 2) (pow B 2))) (/ A B))))) |
(*.f64 B (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 B B)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 A C) #s(literal 4 binary64)) (*.f64 (*.f64 B B) (*.f64 B B))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) |
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 (neg.f64 B) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) 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 1/8 binary64) (/.f64 (pow.f64 (-.f64 A C) #s(literal 4 binary64)) (*.f64 B B)) (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 C A) (-.f64 C A)))) B)) A) B))) |
Compiled 44 458 to 5 397 computations (87.9% saved)
33 alts after pruning (30 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 635 | 26 | 1 661 |
| Fresh | 13 | 4 | 17 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 650 | 33 | 1 683 |
| Status | Accuracy | Program |
|---|---|---|
| 26.7% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (/.f64 (-.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) (fma.f64 (-.f64 C A) (-.f64 C A) (fma.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) B))) (PI.f64)) | |
| ▶ | 81.0% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B))) (PI.f64)) |
| 24.1% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) (*.f64 B (fma.f64 (-.f64 C A) (-.f64 C A) (fma.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))))) (PI.f64)) | |
| 31.0% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 C A) (-.f64 C A)) (/.f64 B (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) (*.f64 (*.f64 B (+.f64 C A)) #s(literal 1 binary64))) (*.f64 (*.f64 B (+.f64 C A)) (/.f64 B (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))))) (PI.f64)) | |
| 50.1% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) B))) (PI.f64)) | |
| 46.8% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B))) (PI.f64)) | |
| 22.0% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) | |
| 28.3% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (PI.f64)) | |
| 23.2% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B))) (PI.f64)) | |
| ▶ | 59.2% | (/.f64 (*.f64 #s(literal 180 binary64) (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)) |
| 52.2% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (PI.f64)) | |
| 56.5% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) | |
| 23.3% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 1 binary64))) (PI.f64)) | |
| ▶ | 10.9% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 0 binary64))) (PI.f64)) |
| 59.2% | (/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)))) | |
| 22.0% | (/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))) | |
| 22.0% | (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))))) | |
| 28.1% | (*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (cbrt.f64 (PI.f64))) (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) | |
| 28.3% | (*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) #s(literal 180 binary64)) | |
| 59.2% | (*.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))) | |
| 28.3% | (*.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (/.f64 #s(literal 1 binary64) (PI.f64))) | |
| 28.3% | (*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 180 binary64))) | |
| 17.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C A)) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C A))) (*.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C A)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))))) (PI.f64))) | |
| ▶ | 21.5% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (*.f64 C B))) (PI.f64))) |
| ✓ | 22.0% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
| 27.0% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal -2 binary64) A) B)) (PI.f64))) | |
| 57.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.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)))) (PI.f64))) | |
| ▶ | 56.5% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))) |
| 26.6% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (-.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (fma.f64 (-.f64 C A) (-.f64 C A) (fma.f64 (-.f64 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))))))) (PI.f64))) | |
| ✓ | 81.0% | (*.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))) |
| ✓ | 19.6% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
| 22.0% | (*.f64 #s(literal 180 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))))) | |
| 22.0% | (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))) |
Compiled 1 619 to 888 computations (45.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (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))))))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 180 binary64) (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)))))))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 #s(literal 180 binary64) (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)) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))) |
| ✓ | cost-diff | 0 | (atan.f64 (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (*.f64 C B))) |
| ✓ | cost-diff | 0 | (/.f64 (atan.f64 (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (*.f64 C B))) (PI.f64)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (*.f64 C B))) (PI.f64))) |
| ✓ | cost-diff | 640 | (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (*.f64 C B)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)) |
| ✓ | cost-diff | 0 | (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) |
| ✓ | cost-diff | 0 | (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (atan.f64 #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 0 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 0 binary64))) (PI.f64)) |
| ✓ | cost-diff | 0 | (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B))) (PI.f64)) |
| ✓ | cost-diff | 4928 | (hypot.f64 (-.f64 A C) B) |
| 7 220× | lower-fma.f32 |
| 7 218× | lower-fma.f64 |
| 3 008× | lower-*.f32 |
| 2 992× | lower-*.f64 |
| 2 002× | lower-+.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 316 |
| 0 | 75 | 308 |
| 1 | 119 | 308 |
| 2 | 212 | 292 |
| 3 | 438 | 292 |
| 4 | 1023 | 292 |
| 5 | 2523 | 292 |
| 6 | 4539 | 292 |
| 0 | 8073 | 292 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B))) |
#s(literal 180 binary64) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) |
(/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B) |
(-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) |
(-.f64 C A) |
C |
A |
(hypot.f64 (-.f64 A C) B) |
(-.f64 A C) |
B |
(PI.f64) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 0 binary64))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 0 binary64))) |
#s(literal 180 binary64) |
(atan.f64 #s(literal 0 binary64)) |
#s(literal 0 binary64) |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64)) |
(atan.f64 (+.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 (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (*.f64 C B))) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (*.f64 C B))) (PI.f64)) |
(atan.f64 (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (*.f64 C B))) |
(/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (*.f64 C B)) |
(*.f64 B (*.f64 B #s(literal -1/2 binary64))) |
B |
(*.f64 B #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 C B) |
C |
(PI.f64) |
(/.f64 (*.f64 #s(literal 180 binary64) (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) (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)))))))) |
#s(literal 180 binary64) |
(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))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))) |
#s(literal 1 binary64) |
(/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) |
B |
(-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) |
(-.f64 C A) |
C |
A |
(sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) |
(fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)) |
(-.f64 A C) |
(*.f64 B B) |
(PI.f64) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B))) (PI.f64)) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B))) |
(*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B))) |
#s(literal 180 binary64) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) |
(/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B) |
(/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B) |
(-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) |
(-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) |
(-.f64 C A) |
C |
A |
(hypot.f64 (-.f64 A C) B) |
(sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) |
(-.f64 A C) |
B |
(PI.f64) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 0 binary64))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 0 binary64))) |
#s(literal 180 binary64) |
(atan.f64 #s(literal 0 binary64)) |
#s(literal 0 binary64) |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))) |
(*.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64)) |
(atan.f64 (+.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 (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (*.f64 C B))) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (*.f64 C B))) (PI.f64)) |
(/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) |
(atan.f64 (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (*.f64 C B))) |
(atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) |
(/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (*.f64 C B)) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) C) |
(*.f64 B (*.f64 B #s(literal -1/2 binary64))) |
B |
(*.f64 B #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 C B) |
C |
(PI.f64) |
(/.f64 (*.f64 #s(literal 180 binary64) (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 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))))) |
(*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B))) |
#s(literal 180 binary64) |
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))))) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) |
(/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))) |
(/.f64 (-.f64 (-.f64 C 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 A C) (-.f64 A C) (*.f64 B B))))) |
(/.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 A C) (-.f64 A C) (*.f64 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 A C) (-.f64 A C) (*.f64 B B))) |
(sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) |
(fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)) |
(fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)) |
(-.f64 A C) |
(*.f64 B B) |
(PI.f64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.2% | (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))) |
| ✓ | accuracy | 94.9% | (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) |
| ✓ | accuracy | 86.8% | (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) |
| ✓ | accuracy | 46.4% | (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.8% | (/.f64 (atan.f64 (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (*.f64 C B))) (PI.f64)) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (*.f64 C B))) (PI.f64))) |
| ✓ | accuracy | 63.1% | (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (*.f64 C B)) |
| ✓ | accuracy | 100.0% | (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 C A) B) |
| ✓ | accuracy | 100.0% | (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))) |
| ✓ | accuracy | 100.0% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 0 binary64))) (PI.f64)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 0 binary64))) |
| ✓ | accuracy | 100.0% | (atan.f64 #s(literal 0 binary64)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.9% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B))) (PI.f64)) |
| ✓ | accuracy | 99.8% | (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B))) |
| ✓ | accuracy | 94.3% | (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B) |
| ✓ | accuracy | 86.8% | (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) |
| 60.0ms | 186× | 0 | valid |
| 33.0ms | 43× | 2 | valid |
| 31.0ms | 26× | 1 | valid |
| 1.0ms | 1× | 3 | valid |
Compiled 410 to 41 computations (90% saved)
ival-div: 38.0ms (40.1% of total)ival-mult: 16.0ms (16.9% of total)ival-hypot: 9.0ms (9.5% of total)ival-atan: 9.0ms (9.5% of total)ival-pi: 7.0ms (7.4% of total)adjust: 6.0ms (6.3% of total)ival-sub: 5.0ms (5.3% of total)ival-add: 4.0ms (4.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (hypot.f64 (-.f64 A C) B)> |
#<alt (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B))) (PI.f64))> |
#<alt (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)))> |
#<alt (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B))> |
#<alt (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 0 binary64))) (PI.f64))> |
#<alt (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 0 binary64)))> |
#<alt (atan.f64 #s(literal 0 binary64))> |
#<alt (PI.f64)> |
#<alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64)))> |
#<alt (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))> |
#<alt (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))> |
#<alt (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))> |
#<alt (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (*.f64 C B))> |
#<alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (*.f64 C B))) (PI.f64)))> |
#<alt (/.f64 (atan.f64 (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (*.f64 C B))) (PI.f64))> |
#<alt (atan.f64 (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (*.f64 C B)))> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))))> |
#<alt (/.f64 (*.f64 #s(literal 180 binary64) (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))> |
#<alt (*.f64 #s(literal 180 binary64) (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))))))))> |
#<alt (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)))))))> |
#<alt (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B))> |
#<alt (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)> |
#<alt (/.f64 (-.f64 C A) B)> |
#<alt (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))> |
#<alt (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))> |
#<alt (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))> |
| Outputs |
|---|
#<alt (sqrt (+ (pow B 2) (pow C 2)))> |
#<alt (+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))> |
#<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)))))))))> |
#<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))))))))))> |
#<alt A> |
#<alt (* A (+ 1 (* -1 (/ C A))))> |
#<alt (* A (+ 1 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2))))))> |
#<alt (* A (+ 1 (+ (* -1 (/ C A)) (+ (* 1/2 (/ (* (pow B 2) C) (pow A 3))) (* 1/2 (/ (pow B 2) (pow A 2)))))))> |
#<alt (* -1 A)> |
#<alt (* -1 (* A (+ 1 (* -1 (/ C A)))))> |
#<alt (* -1 (* A (+ 1 (* -1 (/ (+ C (* -1/2 (/ (pow B 2) A))) A)))))> |
#<alt (* -1 (* A (+ 1 (* -1 (/ (+ C (* -1 (/ (+ (* 1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A))) A)))))> |
#<alt (sqrt (+ (pow A 2) (pow B 2)))> |
#<alt (+ (sqrt (+ (pow A 2) (pow B 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))> |
#<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)))))))))> |
#<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))))))))))> |
#<alt C> |
#<alt (* C (+ 1 (* -1 (/ A C))))> |
#<alt (* C (+ 1 (+ (* -1 (/ A C)) (* 1/2 (/ (pow B 2) (pow C 2))))))> |
#<alt (* C (+ 1 (+ (* -1 (/ A C)) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 3))) (* 1/2 (/ (pow B 2) (pow C 2)))))))> |
#<alt (* -1 C)> |
#<alt (* -1 (* C (+ 1 (* -1 (/ A C)))))> |
#<alt (* -1 (* C (+ 1 (* -1 (/ (+ A (* -1/2 (/ (pow B 2) C))) C)))))> |
#<alt (* -1 (* C (+ 1 (* -1 (/ (+ A (* -1 (/ (+ (* 1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C))) C)))))> |
#<alt (- A C)> |
#<alt (- (+ A (* 1/2 (/ (pow B 2) (- A C)))) C)> |
#<alt (- (+ A (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) C)> |
#<alt (- (+ 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)> |
#<alt B> |
#<alt (* B (+ 1 (* 1/2 (/ (pow (- A C) 2) (pow B 2)))))> |
#<alt (* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (* 1/2 (/ (pow (- A C) 2) (pow B 2))))))> |
#<alt (* 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)))))))> |
#<alt (* -1 B)> |
#<alt (* -1 (* B (+ 1 (* 1/2 (/ (pow (- A C) 2) (pow B 2))))))> |
#<alt (* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (* 1/2 (/ (pow (- A C) 2) (pow B 2)))))))> |
#<alt (* -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))))))))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)))> |
#<alt (* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)))> |
#<alt (* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)))> |
#<alt (* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
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#<alt (* 2 C)> |
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#<alt (* -2 A)> |
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#<alt (* -1 (* B (- (* -1 (/ (- (+ C (* -1 (/ (- (* 1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) A) B)) 1)))> |
#<alt (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))> |
#<alt (+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))))> |
#<alt (+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))))> |
#<alt (+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))))> |
#<alt (* -1 (/ (+ A (* -1 A)) B))> |
#<alt (+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C)))> |
#<alt (+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2)))))> |
#<alt (+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3)))))))> |
#<alt (* 2 (/ C B))> |
#<alt (* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B)))))> |
#<alt (* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B)))))> |
#<alt (* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B)))))> |
#<alt (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)> |
#<alt (- (+ (* -1 (/ (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))> |
#<alt (- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* -1/2 (* (/ (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))> |
#<alt (- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* A (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) B) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))> |
#<alt (* -2 (/ A B))> |
#<alt (* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B)))))> |
#<alt (* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B)))))> |
#<alt (* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B)))))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A))> |
#<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))> |
#<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))> |
#<alt (/ (- (* 2 C) (* 2 A)) B)> |
#<alt (/ (- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) B)> |
#<alt (/ (- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B)> |
#<alt (/ (- (+ (* 2 C) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B)> |
#<alt -1> |
#<alt (- (/ C B) (+ 1 (/ A B)))> |
#<alt (- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B)))> |
#<alt (- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B)))> |
#<alt 1> |
#<alt (- (+ 1 (/ C B)) (/ A B))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- A C) 2) B))) B)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) B)))> |
#<alt (* -1 (/ A B))> |
#<alt (+ (* -1 (/ A B)) (/ C B))> |
#<alt (+ (* -1 (/ A B)) (/ C B))> |
#<alt (+ (* -1 (/ A B)) (/ C B))> |
#<alt (/ C B)> |
#<alt (* C (+ (* -1 (/ A (* B C))) (/ 1 B)))> |
#<alt (* C (+ (* -1 (/ A (* B C))) (/ 1 B)))> |
#<alt (* C (+ (* -1 (/ A (* B C))) (/ 1 B)))> |
#<alt (/ C B)> |
#<alt (* -1 (* C (- (/ A (* B C)) (/ 1 B))))> |
#<alt (* -1 (* C (- (/ A (* B C)) (/ 1 B))))> |
#<alt (* -1 (* C (- (/ A (* B C)) (/ 1 B))))> |
#<alt (/ C B)> |
#<alt (+ (* -1 (/ A B)) (/ C B))> |
#<alt (+ (* -1 (/ A B)) (/ C B))> |
#<alt (+ (* -1 (/ A B)) (/ C B))> |
#<alt (* -1 (/ A B))> |
#<alt (* A (- (/ C (* A B)) (/ 1 B)))> |
#<alt (* A (- (/ C (* A B)) (/ 1 B)))> |
#<alt (* A (- (/ C (* A B)) (/ 1 B)))> |
#<alt (* -1 (/ A B))> |
#<alt (* -1 (* A (+ (* -1 (/ C (* A B))) (/ 1 B))))> |
#<alt (* -1 (* A (+ (* -1 (/ C (* A B))) (/ 1 B))))> |
#<alt (* -1 (* A (+ (* -1 (/ C (* A B))) (/ 1 B))))> |
#<alt (/ (- C A) B)> |
#<alt (/ (- C A) B)> |
#<alt (/ (- C A) B)> |
#<alt (/ (- C A) B)> |
#<alt (/ (- C A) B)> |
#<alt (/ (- C A) B)> |
#<alt (/ (- C A) B)> |
#<alt (/ (- C A) B)> |
#<alt (/ (- C A) B)> |
#<alt (/ (- C A) B)> |
#<alt (/ (- C A) B)> |
#<alt (/ (- C A) B)> |
#<alt (sqrt (+ (pow B 2) (pow C 2)))> |
#<alt (+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))> |
#<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)))))))))> |
#<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))))))))))> |
#<alt A> |
#<alt (* A (+ 1 (* -1 (/ C A))))> |
#<alt (* A (+ 1 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2))))))> |
#<alt (* A (+ 1 (+ (* -1 (/ C A)) (+ (* 1/2 (/ (* (pow B 2) C) (pow A 3))) (* 1/2 (/ (pow B 2) (pow A 2)))))))> |
#<alt (* -1 A)> |
#<alt (* -1 (* A (+ 1 (* -1 (/ C A)))))> |
#<alt (* -1 (* A (+ 1 (* -1 (/ (+ C (* -1/2 (/ (pow B 2) A))) A)))))> |
#<alt (* -1 (* A (+ 1 (* -1 (/ (+ C (* -1 (/ (+ (* 1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A))) A)))))> |
#<alt (sqrt (+ (pow A 2) (pow B 2)))> |
#<alt (+ (sqrt (+ (pow A 2) (pow B 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))> |
#<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)))))))))> |
#<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))))))))))> |
#<alt C> |
#<alt (* C (+ 1 (* -1 (/ A C))))> |
#<alt (* C (+ 1 (+ (* -1 (/ A C)) (* 1/2 (/ (pow B 2) (pow C 2))))))> |
#<alt (* C (+ 1 (+ (* -1 (/ A C)) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 3))) (* 1/2 (/ (pow B 2) (pow C 2)))))))> |
#<alt (* -1 C)> |
#<alt (* -1 (* C (+ 1 (* -1 (/ A C)))))> |
#<alt (* -1 (* C (+ 1 (* -1 (/ (+ A (* -1/2 (/ (pow B 2) C))) C)))))> |
#<alt (* -1 (* C (+ 1 (* -1 (/ (+ A (* -1 (/ (+ (* 1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C))) C)))))> |
#<alt (- A C)> |
#<alt (- (+ A (* 1/2 (/ (pow B 2) (- A C)))) C)> |
#<alt (- (+ A (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) C)> |
#<alt (- (+ 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)> |
#<alt B> |
#<alt (* B (+ 1 (* 1/2 (/ (pow (- A C) 2) (pow B 2)))))> |
#<alt (* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (* 1/2 (/ (pow (- A C) 2) (pow B 2))))))> |
#<alt (* 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)))))))> |
#<alt (* -1 B)> |
#<alt (* -1 (* B (+ 1 (* 1/2 (/ (pow (- A C) 2) (pow B 2))))))> |
#<alt (* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (* 1/2 (/ (pow (- A C) 2) (pow B 2)))))))> |
#<alt (* -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))))))))> |
#<alt (* -1 (+ A (sqrt (+ (pow A 2) (pow B 2)))))> |
#<alt (- (* C (- 1 (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2)))))> |
#<alt (- (* 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)))))> |
#<alt (- (* 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)))))> |
#<alt (* -1 (+ A (* -1 A)))> |
#<alt (- (* -1/2 (/ (pow B 2) C)) (+ A (* -1 A)))> |
#<alt (- (* -1/2 (/ (* A (pow B 2)) (pow C 2))) (+ A (+ (* -1 A) (* 1/2 (/ (pow B 2) C)))))> |
#<alt (- (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (pow C 3))) (+ A (+ (* -1 A) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 2))) (* 1/2 (/ (pow B 2) C))))))> |
#<alt (* 2 C)> |
#<alt (* -1 (* C (- (* 2 (/ A C)) 2)))> |
#<alt (* -1 (* C (- (* -1 (/ (- (* 1/2 (/ (pow B 2) C)) (* 2 A)) C)) 2)))> |
#<alt (* -1 (* C (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C)) (* 2 A)) C)) 2)))> |
#<alt (- C (sqrt (+ (pow B 2) (pow C 2))))> |
#<alt (- (+ C (* -1 (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2))))> |
#<alt (- (+ C (* A (- (* -1/2 (* (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2))))> |
#<alt (- (+ C (* A (- (* A (- (* -1/2 (* (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow B 2) (pow C 2)))) (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2))))> |
#<alt (* -2 A)> |
#<alt (* A (- (/ C A) (+ 2 (* -1 (/ C A)))))> |
#<alt (* A (- (+ (* -1/2 (/ (pow B 2) (pow A 2))) (/ C A)) (+ 2 (* -1 (/ C A)))))> |
#<alt (* A (- (+ (* -1/2 (/ (* (pow B 2) C) (pow A 3))) (/ C A)) (+ 2 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2)))))))> |
#<alt (* 1/2 (/ (pow B 2) A))> |
#<alt (* -1 (/ (- (* -1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) A)) (* -1/2 (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A))> |
#<alt (- (* 2 C) (* 2 A))> |
#<alt (- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A))> |
#<alt (- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A))> |
#<alt (- (+ (* 2 C) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) (* 2 A))> |
#<alt (* -1 B)> |
#<alt (* B (- (/ C B) (+ 1 (/ A B))))> |
#<alt (* B (- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))))> |
#<alt (* B (- (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B)) (+ 1 (+ (* 1/2 (/ (pow (- A C) 2) (pow B 2))) (/ A B)))))> |
#<alt B> |
#<alt (* -1 (* B (- (* -1 (/ (- C A) B)) 1)))> |
#<alt (* -1 (* B (- (* -1 (/ (- (+ C (* 1/2 (/ (pow (- A C) 2) B))) A) B)) 1)))> |
#<alt (* -1 (* B (- (* -1 (/ (- (+ C (* -1 (/ (- (* 1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) A) B)) 1)))> |
#<alt (/ B (- (* 2 C) (* 2 A)))> |
#<alt (* B (+ (* 1/2 (/ (pow B 2) (* (- A C) (pow (- (* 2 C) (* 2 A)) 2)))) (/ 1 (- (* 2 C) (* 2 A)))))> |
#<alt (* B (+ (* (pow B 2) (+ (* (pow B 2) (- (* 1/4 (/ 1 (* (pow (- A C) 2) (pow (- (* 2 C) (* 2 A)) 3)))) (* 1/8 (/ 1 (* (pow (- A C) 3) (pow (- (* 2 C) (* 2 A)) 2)))))) (* 1/2 (/ 1 (* (- A C) (pow (- (* 2 C) (* 2 A)) 2)))))) (/ 1 (- (* 2 C) (* 2 A)))))> |
#<alt (* B (+ (* (pow B 2) (+ (* (pow B 2) (- (+ (* 1/4 (/ 1 (* (pow (- A C) 2) (pow (- (* 2 C) (* 2 A)) 3)))) (* (pow B 2) (- (* 1/16 (/ 1 (* (pow (- A C) 5) (pow (- (* 2 C) (* 2 A)) 2)))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (* (pow (- A C) 2) (pow (- (* 2 C) (* 2 A)) 3)))) (* 1/8 (/ 1 (* (pow (- A C) 3) (pow (- (* 2 C) (* 2 A)) 2))))) (* (- A C) (- (* 2 C) (* 2 A))))) (* 1/16 (/ 1 (* (pow (- A C) 4) (pow (- (* 2 C) (* 2 A)) 3)))))))) (* 1/8 (/ 1 (* (pow (- A C) 3) (pow (- (* 2 C) (* 2 A)) 2)))))) (* 1/2 (/ 1 (* (- A C) (pow (- (* 2 C) (* 2 A)) 2)))))) (/ 1 (- (* 2 C) (* 2 A)))))> |
#<alt -1> |
#<alt (- (/ A B) (+ 1 (/ C B)))> |
#<alt (- (+ (* -1 (/ (+ (* -1 (* (- A C) (- C A))) (* -1/2 (pow (- A C) 2))) (pow B 2))) (/ A B)) (+ 1 (/ C B)))> |
#<alt (- (+ (* -1 (/ (+ (* 1/2 (pow (- A C) 3)) (* (+ (* -1 (* (- A C) (- C A))) (* -1/2 (pow (- A C) 2))) (- C A))) (pow B 3))) (/ A B)) (+ 1 (+ (* -1 (/ (* (- A C) (- C A)) (pow B 2))) (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ (- C A) B)))> |
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (- C A) 2) B)) (* 1/2 (/ (pow (- A C) 2) B))) (* -1 (- C A))) B)))> |
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* (pow (- A C) 2) (- C A)) B)) (/ (* (+ (* -1 (pow (- C A) 2)) (* 1/2 (pow (- A C) 2))) (- C A)) B)) (+ (* -1 (pow (- C A) 2)) (* 1/2 (pow (- A C) 2)))) B)) (* -1 (- C A))) B)))> |
#<alt (* -1 (/ B (+ A (sqrt (+ (pow A 2) (pow B 2))))))> |
#<alt (+ (* -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))))> |
#<alt (+ (* -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)))))> |
#<alt (+ (* -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)))))> |
#<alt (* -1 (/ B (+ A (* -1 A))))> |
#<alt (+ (* -1 (/ B (+ A (* -1 A)))) (* 1/2 (/ (pow B 3) (* C (pow (+ A (* -1 A)) 2)))))> |
#<alt (- (+ (* -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)))))> |
#<alt (- (+ (* -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)))))))> |
#<alt (* 1/2 (/ B C))> |
#<alt (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow A 2) B)) (* 1/8 (pow B 3))) C)) (* 1/2 (* A B))) C)) (* -1/2 B)) C))> |
#<alt (* -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))> |
#<alt (/ B (- C (sqrt (+ (pow B 2) (pow C 2)))))> |
#<alt (+ (/ 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)))> |
#<alt (+ (* 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))))))> |
#<alt (+ (* 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))))))> |
#<alt (* -1/2 (/ B A))> |
#<alt (/ (+ (* -1/2 B) (* -1/4 (/ (* B (- C (* -1 C))) A))) A)> |
#<alt (/ (- (+ (* -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)> |
#<alt (/ (- (+ (* -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)> |
#<alt (* 2 (/ A B))> |
#<alt (* -1 (* A (- (* 2 (/ C (* A B))) (* 2 (/ 1 B)))))> |
#<alt (* -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)))))> |
#<alt (* -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)))))> |
186 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | A | @ | inf | (/ B (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B))))) |
| 3.0ms | A | @ | inf | (* 180 (/ (atan (+ 1 (/ (- C A) B))) (PI))) |
| 3.0ms | C | @ | inf | (/ B (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B))))) |
| 2.0ms | A | @ | 0 | (/ B (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B))))) |
| 2.0ms | C | @ | 0 | (/ B (- (- C A) (sqrt (+ (* (- A C) (- A C)) (* B B))))) |
| 1× | batch-egg-rewrite |
| 5 220× | lower-*.f32 |
| 5 204× | lower-*.f64 |
| 5 016× | lower-/.f32 |
| 4 998× | lower-/.f64 |
| 2 196× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 253 |
| 0 | 75 | 245 |
| 1 | 250 | 245 |
| 2 | 1727 | 245 |
| 0 | 8688 | 245 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(hypot.f64 (-.f64 A C) B) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B))) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 0 binary64))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 0 binary64))) |
(atan.f64 #s(literal 0 binary64)) |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))) |
(/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64)) |
(atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)) |
(/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (*.f64 C B)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (*.f64 C B))) (PI.f64))) |
(/.f64 (atan.f64 (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (*.f64 C B))) (PI.f64)) |
(atan.f64 (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (*.f64 C B))) |
(/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))) |
(/.f64 (*.f64 #s(literal 180 binary64) (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) (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)))))))) |
(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))))))) |
(-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) |
(/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B) |
(/.f64 (-.f64 C A) B) |
(sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) |
(-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) |
(/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) |
| Outputs |
|---|
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) |
(hypot.f64 (-.f64 A C) B) |
(hypot.f64 (-.f64 A C) (neg.f64 B)) |
(hypot.f64 (-.f64 A C) (exp.f64 (log.f64 B))) |
(hypot.f64 B (-.f64 A C)) |
(hypot.f64 B (exp.f64 (log.f64 (-.f64 A C)))) |
(hypot.f64 (neg.f64 B) (-.f64 A C)) |
(hypot.f64 (neg.f64 B) (exp.f64 (log.f64 (-.f64 A C)))) |
(hypot.f64 (exp.f64 (log.f64 B)) (-.f64 A C)) |
(hypot.f64 (exp.f64 (log.f64 B)) (exp.f64 (log.f64 (-.f64 A C)))) |
(hypot.f64 (exp.f64 (log.f64 (-.f64 A C))) B) |
(hypot.f64 (exp.f64 (log.f64 (-.f64 A C))) (neg.f64 B)) |
(hypot.f64 (exp.f64 (log.f64 (-.f64 A C))) (exp.f64 (log.f64 B))) |
(fabs.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) |
(sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (-.f64 A C) (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (-.f64 A C))) (*.f64 (*.f64 B B) (-.f64 (*.f64 B B) (*.f64 (-.f64 A C) (-.f64 A C))))) (fma.f64 (*.f64 B B) (*.f64 B (*.f64 B (*.f64 B B))) (*.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) (sqrt.f64 (/.f64 (*.f64 (+.f64 (-.f64 A C) B) (-.f64 (-.f64 A C) B)) (*.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)) (*.f64 (+.f64 (-.f64 A C) B) (-.f64 (-.f64 A C) B)))))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 B B) (*.f64 B (*.f64 B (*.f64 B B))) (*.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 (-.f64 A C) (-.f64 A C)))))) (sqrt.f64 (fma.f64 (-.f64 A C) (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (-.f64 A C))) (*.f64 (*.f64 B B) (-.f64 (*.f64 B B) (*.f64 (-.f64 A C) (-.f64 A C))))))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 B B) (*.f64 B (*.f64 B (*.f64 B B))) (*.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 (-.f64 A C) (-.f64 A C)))))) (sqrt.f64 (fma.f64 B (*.f64 B (*.f64 B B)) (-.f64 (*.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 (-.f64 A C) (-.f64 A C))) (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (*.f64 B B))))))) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)) (*.f64 (+.f64 (-.f64 A C) B) (-.f64 (-.f64 A C) B)))) (sqrt.f64 (*.f64 (+.f64 (-.f64 A C) B) (-.f64 (-.f64 A C) B)))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 B B) (*.f64 B (*.f64 B (*.f64 B B))) (*.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 (-.f64 A C) (-.f64 A C))))))) (sqrt.f64 (neg.f64 (fma.f64 (-.f64 A C) (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (-.f64 A C))) (*.f64 (*.f64 B B) (-.f64 (*.f64 B B) (*.f64 (-.f64 A C) (-.f64 A C)))))))) |
(/.f64 (sqrt.f64 (neg.f64 (*.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)) (*.f64 (+.f64 (-.f64 A C) B) (-.f64 (-.f64 A C) B))))) (sqrt.f64 (neg.f64 (*.f64 (+.f64 (-.f64 A C) B) (-.f64 (-.f64 A C) B))))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 B (*.f64 B (*.f64 B B))) (*.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 (-.f64 A C) (-.f64 A C))))) (sqrt.f64 (-.f64 (*.f64 B B) (*.f64 (-.f64 A C) (-.f64 A C))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 B B) (*.f64 B (*.f64 B (*.f64 B B))) (*.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 (-.f64 A C) (-.f64 A C))))))) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (-.f64 A C))) (*.f64 (*.f64 B B) (-.f64 (*.f64 B B) (*.f64 (-.f64 A C) (-.f64 A C)))))))) |
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)) (*.f64 (+.f64 (-.f64 A C) B) (-.f64 (-.f64 A C) B))))) (neg.f64 (sqrt.f64 (*.f64 (+.f64 (-.f64 A C) B) (-.f64 (-.f64 A C) B))))) |
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.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 A C) (-.f64 A C)) (*.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 (-.f64 A C) (-.f64 A C)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 A C) (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (-.f64 A C))) (*.f64 (*.f64 B B) (-.f64 (*.f64 B B) (*.f64 (-.f64 A C) (-.f64 A C)))))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 B B) (*.f64 B (*.f64 B (*.f64 B B))) (*.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 (-.f64 A C) (-.f64 A C)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 A C) (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (-.f64 A C))) (*.f64 (*.f64 B B) (-.f64 (*.f64 B B) (*.f64 (-.f64 A C) (-.f64 A C)))))))) |
(*.f64 (sqrt.f64 (*.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)) (*.f64 (+.f64 (-.f64 A C) B) (-.f64 (-.f64 A C) B)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (-.f64 A C) B) (-.f64 (-.f64 A C) B))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)) (*.f64 (+.f64 (-.f64 A C) B) (-.f64 (-.f64 A C) B)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (-.f64 A C) B) (-.f64 (-.f64 A C) B))))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) (sqrt.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.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)) #s(literal -180 binary64)) (PI.f64))) |
(neg.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)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) (PI.f64)) |
(/.f64 #s(literal 1 binary64) (/.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 #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) (neg.f64 (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 #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 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)))) #s(literal 1 binary64)))) |
(/.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 (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))) (neg.f64 (neg.f64 (PI.f64)))) |
(/.f64 (*.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) #s(literal 1 binary64)) (PI.f64)) |
(/.f64 (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) #s(literal 1 binary64)) (PI.f64)) |
(/.f64 (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(/.f64 (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) #s(literal -180 binary64)))) (neg.f64 (neg.f64 (neg.f64 (PI.f64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) #s(literal 1 binary64))) (neg.f64 (PI.f64))) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) #s(literal 1 binary64))) (neg.f64 (PI.f64))) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (neg.f64 (cbrt.f64 (PI.f64)))) |
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(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) (-.f64 C A))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 C (*.f64 C C)) (*.f64 (+.f64 A (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) (*.f64 (+.f64 A (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) (+.f64 A (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))))) (neg.f64 (fma.f64 C C (fma.f64 (+.f64 A (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) (+.f64 A (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) (*.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 C C) (*.f64 (+.f64 A (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) (+.f64 A (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))))) (neg.f64 (+.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))))) |
(pow.f64 (/.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (fma.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) (-.f64 C A) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) (-.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) (-.f64 C A)) (-.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) #s(literal -1 binary64)) |
(*.f64 (-.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 C A) (-.f64 C A) (fma.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) (-.f64 C A) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))) |
(*.f64 (-.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) (-.f64 C A)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))) #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))) (/.f64 (neg.f64 B) (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))))) (/.f64 B (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))))) |
(neg.f64 (/.f64 (neg.f64 B) (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))) |
(/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) |
(/.f64 B (*.f64 #s(literal 1 binary64) (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) |
(/.f64 #s(literal 1 binary64) (/.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) (neg.f64 (neg.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)))) |
(/.f64 (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.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 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B) #s(literal 1 binary64)))) |
(/.f64 (/.f64 (neg.f64 B) (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 B) (neg.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))) |
(/.f64 (neg.f64 B) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))))) |
(/.f64 (neg.f64 B) (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) (/.f64 #s(literal 1 binary64) B)) |
(/.f64 (neg.f64 (neg.f64 B)) (neg.f64 (neg.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))))) |
(/.f64 (neg.f64 (neg.f64 B)) (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))) (neg.f64 (/.f64 #s(literal 1 binary64) B))) |
(/.f64 (*.f64 B #s(literal 1 binary64)) (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 B))) (neg.f64 (neg.f64 (neg.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))))) |
(/.f64 (neg.f64 (*.f64 B #s(literal 1 binary64))) (neg.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))) |
(pow.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B) #s(literal -1 binary64)) |
(pow.f64 (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 B (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))) |
(*.f64 B (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) #s(literal 1 binary64))) |
(*.f64 B (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))) #s(literal -1 binary64))) |
(*.f64 B (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) #s(literal 1 binary64))) |
(*.f64 B (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))) |
(*.f64 (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 B) (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))) |
(*.f64 #s(literal -1 binary64) (pow.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)))))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (neg.f64 B) (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 B) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) B) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))) (neg.f64 B)) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 B)) #s(literal -1 binary64))) |
(*.f64 (/.f64 B (-.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) (fma.f64 (-.f64 C A) (-.f64 C A) (fma.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) (-.f64 C A) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) |
(*.f64 (/.f64 B (-.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 C A) (-.f64 C A) (fma.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) (-.f64 C A) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))))) |
(*.f64 (/.f64 B (-.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) (+.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) (-.f64 C A))) |
(*.f64 (/.f64 B (-.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) (-.f64 C A))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 B)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.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 A C) (-.f64 A C) (*.f64 B B)))) B) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) #s(literal -1 binary64)) B) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) #s(literal 1 binary64)) B) |
(*.f64 (pow.f64 (neg.f64 B) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))) #s(literal 1 binary64)) (pow.f64 (neg.f64 B) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 B (-.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (fma.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) (-.f64 C A) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 B (-.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) #s(literal 1 binary64)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) (-.f64 C A)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) #s(literal 1 binary64)) (/.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (fma.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) (-.f64 C A) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) (/.f64 #s(literal 1 binary64) B))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) #s(literal 1 binary64)) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) (-.f64 C A)) (/.f64 #s(literal 1 binary64) B))) |
| 1× | egg-herbie |
| 7 968× | lower-fma.f64 |
| 7 968× | lower-fma.f32 |
| 6 742× | lower-*.f64 |
| 6 742× | lower-*.f32 |
| 4 622× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 962 | 14149 |
| 1 | 3014 | 13607 |
| 0 | 8346 | 11749 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(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)))))))) |
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-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))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B)))) |
(* 180 (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B)))) |
(* 180 (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B)))) |
(* 180 (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B)))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(* 180 (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B))) |
(* 180 (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B))) |
(* 180 (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B))) |
(* 180 (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- 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)) |
(* -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))) |
(* -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 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) |
(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))) |
(/ B (- (* 2 C) (* 2 A))) |
(* B (+ (* 1/2 (/ (pow B 2) (* (- A C) (pow (- (* 2 C) (* 2 A)) 2)))) (/ 1 (- (* 2 C) (* 2 A))))) |
(* B (+ (* (pow B 2) (+ (* (pow B 2) (- (* 1/4 (/ 1 (* (pow (- A C) 2) (pow (- (* 2 C) (* 2 A)) 3)))) (* 1/8 (/ 1 (* (pow (- A C) 3) (pow (- (* 2 C) (* 2 A)) 2)))))) (* 1/2 (/ 1 (* (- A C) (pow (- (* 2 C) (* 2 A)) 2)))))) (/ 1 (- (* 2 C) (* 2 A))))) |
(* B (+ (* (pow B 2) (+ (* (pow B 2) (- (+ (* 1/4 (/ 1 (* (pow (- A C) 2) (pow (- (* 2 C) (* 2 A)) 3)))) (* (pow B 2) (- (* 1/16 (/ 1 (* (pow (- A C) 5) (pow (- (* 2 C) (* 2 A)) 2)))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (* (pow (- A C) 2) (pow (- (* 2 C) (* 2 A)) 3)))) (* 1/8 (/ 1 (* (pow (- A C) 3) (pow (- (* 2 C) (* 2 A)) 2))))) (* (- A C) (- (* 2 C) (* 2 A))))) (* 1/16 (/ 1 (* (pow (- A C) 4) (pow (- (* 2 C) (* 2 A)) 3)))))))) (* 1/8 (/ 1 (* (pow (- A C) 3) (pow (- (* 2 C) (* 2 A)) 2)))))) (* 1/2 (/ 1 (* (- A C) (pow (- (* 2 C) (* 2 A)) 2)))))) (/ 1 (- (* 2 C) (* 2 A))))) |
-1 |
(- (/ A B) (+ 1 (/ C B))) |
(- (+ (* -1 (/ (+ (* -1 (* (- A C) (- C A))) (* -1/2 (pow (- A C) 2))) (pow B 2))) (/ A B)) (+ 1 (/ C B))) |
(- (+ (* -1 (/ (+ (* 1/2 (pow (- A C) 3)) (* (+ (* -1 (* (- A C) (- C A))) (* -1/2 (pow (- A C) 2))) (- C A))) (pow B 3))) (/ A B)) (+ 1 (+ (* -1 (/ (* (- A C) (- C A)) (pow B 2))) (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B))))) |
1 |
(+ 1 (* -1 (/ (- C A) B))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (- C A) 2) B)) (* 1/2 (/ (pow (- A C) 2) B))) (* -1 (- C A))) B))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* (pow (- A C) 2) (- C A)) B)) (/ (* (+ (* -1 (pow (- C A) 2)) (* 1/2 (pow (- A C) 2))) (- C A)) B)) (+ (* -1 (pow (- C A) 2)) (* 1/2 (pow (- A C) 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))))) |
| Outputs |
|---|
(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 (*.f64 C A) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* A (+ (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (* 1/2 (* (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))))) |
(fma.f64 A (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) A) (-.f64 #s(literal 1 binary64) (/.f64 (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) A) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C)))) (neg.f64 C)) (*.f64 A (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.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))))))))) (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 (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) A) C) 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 (neg.f64 (/.f64 (+.f64 C (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 B B) (/.f64 C A) (*.f64 B B))) A)) A)) A)) |
(sqrt (+ (pow A 2) (pow B 2))) |
(sqrt.f64 (fma.f64 B B (*.f64 A A))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) |
(-.f64 (sqrt.f64 (fma.f64 B B (*.f64 A A))) (*.f64 (*.f64 C A) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* C (+ (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (* 1/2 (* (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(fma.f64 C (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) C) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (fma.f64 B B (*.f64 A A)))) (neg.f64 A)) (*.f64 C (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.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))))))))) (sqrt.f64 (fma.f64 B B (*.f64 A A)))) |
C |
(* C (+ 1 (* -1 (/ A C)))) |
(fma.f64 (neg.f64 C) (/.f64 A C) C) |
(* C (+ 1 (+ (* -1 (/ A C)) (* 1/2 (/ (pow B 2) (pow C 2)))))) |
(fma.f64 C (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 B B) (*.f64 C C)) (/.f64 A (neg.f64 C))) C) |
(* C (+ 1 (+ (* -1 (/ A C)) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 3))) (* 1/2 (/ (pow B 2) (pow C 2))))))) |
(*.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 #s(literal 1 binary64) (/.f64 A C)))) |
(* -1 C) |
(neg.f64 C) |
(* -1 (* C (+ 1 (* -1 (/ A C))))) |
(neg.f64 (fma.f64 (neg.f64 C) (/.f64 A 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 (neg.f64 (/.f64 (+.f64 A (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 A (/.f64 (*.f64 B B) C) (*.f64 B B))) C)) C)) C)) |
(- A C) |
(-.f64 A C) |
(- (+ A (* 1/2 (/ (pow B 2) (- A C)))) C) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 B B) (-.f64 A C)) (-.f64 A C)) |
(- (+ A (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) C) |
(fma.f64 (*.f64 B B) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 B B) (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (-.f64 A C)))) (/.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 #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 A C)) |
B |
(* B (+ 1 (* 1/2 (/ (pow (- A C) 2) (pow B 2))))) |
(fma.f64 (*.f64 B #s(literal 1/2 binary64)) (/.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.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 #s(literal -1/8 binary64) (pow.f64 (-.f64 A C) #s(literal 4 binary64))) (pow.f64 B #s(literal 4 binary64)))) B) |
(* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (+ (* 1/16 (/ (pow (- A C) 6) (pow B 6))) (* 1/2 (/ (pow (- A C) 2) (pow B 2))))))) |
(fma.f64 B (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (-.f64 A C) #s(literal 6 binary64)) (pow.f64 B #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 A C) #s(literal 4 binary64))) (pow.f64 B #s(literal 4 binary64))))) B) |
(* -1 B) |
(neg.f64 B) |
(* -1 (* B (+ 1 (* 1/2 (/ (pow (- A C) 2) (pow B 2)))))) |
(neg.f64 (fma.f64 (*.f64 B #s(literal 1/2 binary64)) (/.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B)) B)) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (* 1/2 (/ (pow (- A C) 2) (pow B 2))))))) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (-.f64 A C) #s(literal 4 binary64)) (pow.f64 B #s(literal 4 binary64))) (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)))))))) |
(neg.f64 (fma.f64 B (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (-.f64 A C) #s(literal 6 binary64)) (pow.f64 B #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 A C) #s(literal 4 binary64))) (pow.f64 B #s(literal 4 binary64))))) 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 C (+.f64 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 C (+.f64 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 C (+.f64 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 C (+.f64 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 C (+.f64 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 C (+.f64 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 C (+.f64 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 C (+.f64 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 (neg.f64 (/.f64 (+.f64 (-.f64 A C) (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 (neg.f64 (/.f64 (+.f64 (-.f64 A C) (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 (neg.f64 (/.f64 (+.f64 (-.f64 A C) (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 (neg.f64 (/.f64 (+.f64 (-.f64 A C) (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 C (+.f64 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 C (+.f64 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 C (+.f64 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 C (+.f64 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 C (+.f64 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 C (+.f64 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 C (+.f64 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 C (+.f64 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 C (+.f64 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 C (+.f64 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 C (+.f64 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 C (+.f64 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 C (+.f64 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 C (+.f64 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 C (+.f64 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 C (+.f64 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 C (+.f64 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 C (+.f64 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 C (+.f64 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 C (+.f64 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 C (+.f64 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 C (+.f64 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 C (+.f64 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 C (+.f64 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))) |
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(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
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(* 180 (/ (atan (* -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 (- A C) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 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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(* 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))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 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))) |
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(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
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(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
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(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
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(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
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(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
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(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
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(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
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(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
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(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
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(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
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(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
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(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
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(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
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(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
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(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
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(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
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(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
(*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C)))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
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(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B))) |
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(* 180 (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B)))) |
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(/.f64 (-.f64 C A) B) |
(/ (- C A) B) |
(/.f64 (-.f64 C A) B) |
(/ (- C A) B) |
(/.f64 (-.f64 C A) B) |
(/ (- C A) B) |
(/.f64 (-.f64 C A) B) |
(/ (- C A) B) |
(/.f64 (-.f64 C A) B) |
(/ (- C A) B) |
(/.f64 (-.f64 C A) B) |
(/ (- C A) B) |
(/.f64 (-.f64 C A) B) |
(/ (- C A) B) |
(/.f64 (-.f64 C A) B) |
(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 (*.f64 C A) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* A (+ (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (* 1/2 (* (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))))) |
(fma.f64 A (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) A) (-.f64 #s(literal 1 binary64) (/.f64 (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) A) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C)))) (neg.f64 C)) (*.f64 A (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.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))))))))) (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 (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) A) C) 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 (neg.f64 (/.f64 (+.f64 C (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 B B) (/.f64 C A) (*.f64 B B))) A)) A)) A)) |
(sqrt (+ (pow A 2) (pow B 2))) |
(sqrt.f64 (fma.f64 B B (*.f64 A A))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) |
(-.f64 (sqrt.f64 (fma.f64 B B (*.f64 A A))) (*.f64 (*.f64 C A) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* C (+ (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (* 1/2 (* (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(fma.f64 C (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) C) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (fma.f64 B B (*.f64 A A)))) (neg.f64 A)) (*.f64 C (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.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))))))))) (sqrt.f64 (fma.f64 B B (*.f64 A A)))) |
C |
(* C (+ 1 (* -1 (/ A C)))) |
(fma.f64 (neg.f64 C) (/.f64 A C) C) |
(* C (+ 1 (+ (* -1 (/ A C)) (* 1/2 (/ (pow B 2) (pow C 2)))))) |
(fma.f64 C (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 B B) (*.f64 C C)) (/.f64 A (neg.f64 C))) C) |
(* C (+ 1 (+ (* -1 (/ A C)) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 3))) (* 1/2 (/ (pow B 2) (pow C 2))))))) |
(*.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 #s(literal 1 binary64) (/.f64 A C)))) |
(* -1 C) |
(neg.f64 C) |
(* -1 (* C (+ 1 (* -1 (/ A C))))) |
(neg.f64 (fma.f64 (neg.f64 C) (/.f64 A 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 (neg.f64 (/.f64 (+.f64 A (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 A (/.f64 (*.f64 B B) C) (*.f64 B B))) C)) C)) C)) |
(- A C) |
(-.f64 A C) |
(- (+ A (* 1/2 (/ (pow B 2) (- A C)))) C) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 B B) (-.f64 A C)) (-.f64 A C)) |
(- (+ A (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) C) |
(fma.f64 (*.f64 B B) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 B B) (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (-.f64 A C)))) (/.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 #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 A C)) |
B |
(* B (+ 1 (* 1/2 (/ (pow (- A C) 2) (pow B 2))))) |
(fma.f64 (*.f64 B #s(literal 1/2 binary64)) (/.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.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 #s(literal -1/8 binary64) (pow.f64 (-.f64 A C) #s(literal 4 binary64))) (pow.f64 B #s(literal 4 binary64)))) B) |
(* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (+ (* 1/16 (/ (pow (- A C) 6) (pow B 6))) (* 1/2 (/ (pow (- A C) 2) (pow B 2))))))) |
(fma.f64 B (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (-.f64 A C) #s(literal 6 binary64)) (pow.f64 B #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 A C) #s(literal 4 binary64))) (pow.f64 B #s(literal 4 binary64))))) B) |
(* -1 B) |
(neg.f64 B) |
(* -1 (* B (+ 1 (* 1/2 (/ (pow (- A C) 2) (pow B 2)))))) |
(neg.f64 (fma.f64 (*.f64 B #s(literal 1/2 binary64)) (/.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B)) B)) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (* 1/2 (/ (pow (- A C) 2) (pow B 2))))))) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (-.f64 A C) #s(literal 4 binary64)) (pow.f64 B #s(literal 4 binary64))) (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)))))))) |
(neg.f64 (fma.f64 B (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (-.f64 A C) #s(literal 6 binary64)) (pow.f64 B #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 A C) #s(literal 4 binary64))) (pow.f64 B #s(literal 4 binary64))))) B)) |
(* -1 (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(neg.f64 (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A))))) |
(- (* C (- 1 (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(-.f64 (+.f64 C (*.f64 (*.f64 C A) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))))) (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A))))) |
(- (* C (- (+ 1 (* -1/2 (* (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(fma.f64 C (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) C) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (fma.f64 B B (*.f64 A A))))) (neg.f64 A)))) (neg.f64 (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))))) |
(- (* C (- (+ 1 (* C (- (* -1/2 (* (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow A 2) (pow B 2)))) (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(fma.f64 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 #s(literal 1 binary64) (*.f64 A (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A))))))) (neg.f64 (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 A A)))))) |
(* -1 (+ A (* -1 A))) |
#s(literal 0 binary64) |
(- (* -1/2 (/ (pow B 2) C)) (+ A (* -1 A))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) C) #s(literal 0 binary64)) |
(- (* -1/2 (/ (* A (pow B 2)) (pow C 2))) (+ A (+ (* -1 A) (* 1/2 (/ (pow B 2) C))))) |
(-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 B B) A)) (*.f64 C C)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 B B) C) #s(literal 0 binary64))) |
(- (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (pow C 3))) (+ A (+ (* -1 A) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 2))) (* 1/2 (/ (pow B 2) C)))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 B B) (neg.f64 (*.f64 A A)) (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (*.f64 C (*.f64 C C))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 A (/.f64 (*.f64 B B) (*.f64 C C)) (/.f64 (*.f64 B B) C)) #s(literal 0 binary64))) |
(* 2 C) |
(+.f64 C 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))) |
(neg.f64 (*.f64 C (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 B B) C) (*.f64 A #s(literal -2 binary64))) (neg.f64 C)) #s(literal -2 binary64)))) |
(* -1 (* C (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C)) (* 2 A)) C)) 2))) |
(neg.f64 (*.f64 C (+.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 A (/.f64 (*.f64 B B) C) (*.f64 B B))) C)) (*.f64 A #s(literal -2 binary64))) (neg.f64 C)) #s(literal -2 binary64)))) |
(- 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)))) |
(-.f64 (fma.f64 (neg.f64 A) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) (neg.f64 C) #s(literal 1 binary64)) 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 (+.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) 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))))) #s(literal -1 binary64)) (*.f64 C (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))))) (-.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 (+.f64 (fma.f64 A (*.f64 #s(literal -1/2 binary64) (fma.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)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C))))))) #s(literal -1 binary64)) (*.f64 C (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) |
(* -2 A) |
(*.f64 A #s(literal -2 binary64)) |
(* A (- (/ C A) (+ 2 (* -1 (/ C A))))) |
(*.f64 A (-.f64 (/.f64 (+.f64 C C) A) #s(literal 2 binary64))) |
(* A (- (+ (* -1/2 (/ (pow B 2) (pow A 2))) (/ C A)) (+ 2 (* -1 (/ C A))))) |
(*.f64 A (fma.f64 (/.f64 (*.f64 B B) (*.f64 A A)) #s(literal -1/2 binary64) (-.f64 (/.f64 (+.f64 C C) A) #s(literal 2 binary64)))) |
(* 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 (fma.f64 (/.f64 (*.f64 (*.f64 B B) C) (*.f64 A (*.f64 A A))) #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (+.f64 C C) A) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) (*.f64 A 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 (*.f64 B B) (/.f64 C A) (*.f64 B B))) (neg.f64 A)) |
(* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 B B) (*.f64 C C))) A) (*.f64 (*.f64 B B) C))) A) (*.f64 (*.f64 B B) #s(literal -1/2 binary64))) (neg.f64 A)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) A)) (* -1/2 (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (fma.f64 (neg.f64 C) (-.f64 (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 B B) (*.f64 C C))) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 B #s(literal 4 binary64))) C)) A) (-.f64 (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 B B) (*.f64 C C))))) A) (*.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) C)) (neg.f64 A)) (*.f64 (*.f64 B B) #s(literal -1/2 binary64))) (neg.f64 A)) |
(- (* 2 C) (* 2 A)) |
(*.f64 #s(literal 2 binary64) (-.f64 C A)) |
(- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) (-.f64 A C)) (*.f64 #s(literal 2 binary64) (-.f64 C A))) |
(- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) |
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow A 2) B)) (* 1/8 (pow B 3))) C)) (* 1/2 (* A B))) C)) (* -1/2 B)) C)) |
(/.f64 (-.f64 (*.f64 B #s(literal -1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 B A) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 B (*.f64 A A)) (*.f64 #s(literal 1/8 binary64) (*.f64 B (*.f64 B B)))) (neg.f64 C))) C)) (neg.f64 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)) |
(/.f64 (-.f64 (*.f64 B #s(literal -1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 B A) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 B (*.f64 A A)) (*.f64 #s(literal 1/8 binary64) (*.f64 B (*.f64 B B)))) (/.f64 (fma.f64 (neg.f64 A) (fma.f64 #s(literal -1/2 binary64) (*.f64 B (*.f64 A A)) (*.f64 #s(literal 1/8 binary64) (*.f64 B (*.f64 B B)))) (*.f64 (*.f64 A (*.f64 B (*.f64 B B))) #s(literal -1/4 binary64))) C)) (neg.f64 C))) C)) (neg.f64 C)) |
(/ B (- C (sqrt (+ (pow B 2) (pow C 2))))) |
(/.f64 B (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) |
(+ (/ 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))) |
(fma.f64 A (/.f64 (fma.f64 (*.f64 B (neg.f64 C)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) B) (*.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) (/.f64 B (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) |
(+ (* 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)))))) |
(fma.f64 A (fma.f64 A (neg.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) B) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C)))) (*.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))))) (neg.f64 (/.f64 (*.f64 (fma.f64 (*.f64 B (neg.f64 C)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) (neg.f64 C) #s(literal 1 binary64))) (*.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) (*.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))))))))) (/.f64 (fma.f64 (*.f64 B (neg.f64 C)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) B) (*.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))))) (/.f64 B (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) |
(+ (* 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)))))) |
(fma.f64 A (fma.f64 A (neg.f64 (fma.f64 A (fma.f64 #s(literal -1/2 binary64) (fma.f64 (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 (*.f64 B C) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C))))) (*.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 B (neg.f64 C)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) B) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C))))) (*.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) (*.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))))))) (/.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) (neg.f64 C) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) B) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C)))) (*.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))))) (neg.f64 (/.f64 (*.f64 (fma.f64 (*.f64 B (neg.f64 C)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) (neg.f64 C) #s(literal 1 binary64))) (*.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) (*.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))))))))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) B) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C)))) (*.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))))) (neg.f64 (/.f64 (*.f64 (fma.f64 (*.f64 B (neg.f64 C)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) (neg.f64 C) #s(literal 1 binary64))) (*.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) (*.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))))))))) (/.f64 (fma.f64 (*.f64 B (neg.f64 C)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) B) (*.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))))) (/.f64 B (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) |
(* -1/2 (/ B A)) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) A) |
(/ (+ (* -1/2 B) (* -1/4 (/ (* B (- C (* -1 C))) A))) A) |
(/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 B (+.f64 C C)) A) (*.f64 B #s(literal -1/2 binary64))) 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) |
(/.f64 (+.f64 (-.f64 (*.f64 B #s(literal -1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 B (*.f64 B B)) (*.f64 (*.f64 #s(literal 1/8 binary64) B) (*.f64 (+.f64 C C) (+.f64 C C)))) (*.f64 A A))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 B (+.f64 C 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) |
(/.f64 (-.f64 (-.f64 (*.f64 B #s(literal -1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 C (*.f64 B (*.f64 B B))) (*.f64 (+.f64 C C) (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/8 binary64) (*.f64 B (*.f64 B B)) (*.f64 (*.f64 #s(literal 1/8 binary64) B) (*.f64 (+.f64 C C) (+.f64 C C)))) (*.f64 #s(literal -1/16 binary64) (*.f64 B (*.f64 B B)))))) (*.f64 A (*.f64 A A)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 B (*.f64 B B)) (*.f64 A A)) (fma.f64 (*.f64 #s(literal 1/8 binary64) B) (/.f64 (*.f64 (+.f64 C C) (+.f64 C C)) (*.f64 A A)) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 B (+.f64 C C))) A)))) A) |
(* 2 (/ A B)) |
(/.f64 (*.f64 #s(literal 2 binary64) A) B) |
(* -1 (* A (- (* 2 (/ C (* A B))) (* 2 (/ 1 B))))) |
(neg.f64 (*.f64 A (fma.f64 #s(literal 2 binary64) (/.f64 C (*.f64 B A)) (/.f64 #s(literal -2 binary64) 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))))) |
(*.f64 (neg.f64 A) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (+.f64 (/.f64 (-.f64 (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 B B) (*.f64 C C))) (*.f64 A (*.f64 B (*.f64 B B)))) (/.f64 (*.f64 C C) (*.f64 B A))) (/.f64 C B))) (neg.f64 A)) (/.f64 #s(literal -2 binary64) 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))))) |
(neg.f64 (*.f64 A (+.f64 (/.f64 (-.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 C (/.f64 (-.f64 (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 B B) (*.f64 C C))) (*.f64 A (*.f64 B (*.f64 B B)))) (/.f64 (fma.f64 (neg.f64 C) (-.f64 (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 B B) (*.f64 C C))) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 B #s(literal 4 binary64))) C)) (*.f64 A (*.f64 B (*.f64 B B))))) (/.f64 (*.f64 (+.f64 C C) (+.f64 (/.f64 (-.f64 (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 B B) (*.f64 C C))) (*.f64 B (*.f64 B B))) (/.f64 (*.f64 C C) B))) A)) (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (-.f64 (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 B B) (*.f64 C C))) (*.f64 B (*.f64 B B))) (/.f64 (*.f64 C C) B)))) (neg.f64 A)) (/.f64 (+.f64 C C) B)) (neg.f64 A)) (/.f64 #s(literal -2 binary64) B)))) |
Compiled 61 493 to 6 092 computations (90.1% saved)
37 alts after pruning (31 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 090 | 11 | 2 101 |
| Fresh | 5 | 20 | 25 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 2 097 | 37 | 2 134 |
| Status | Accuracy | Program |
|---|---|---|
| 26.7% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (/.f64 (-.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) (fma.f64 (-.f64 C A) (-.f64 C A) (fma.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) B))) (PI.f64)) | |
| ✓ | 81.0% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B))) (PI.f64)) |
| 25.5% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) (-.f64 C A)) (/.f64 #s(literal 1 binary64) B)) B) (*.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) (*.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) B)))) (PI.f64)) | |
| ▶ | 50.1% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) B))) (PI.f64)) |
| 46.8% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B))) (PI.f64)) | |
| 23.2% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (+.f64 C C) B))) (PI.f64)) | |
| 22.0% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) | |
| 28.3% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (PI.f64)) | |
| 46.8% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))))))) (PI.f64)) | |
| 31.5% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 A C) B))))) (PI.f64)) | |
| 52.2% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64)) | |
| 57.8% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) (*.f64 (/.f64 #s(literal 1 binary64) B) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))))) (PI.f64)) | |
| 56.5% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) | |
| ▶ | 23.3% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 1 binary64))) (PI.f64)) |
| ✓ | 10.9% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 0 binary64))) (PI.f64)) |
| 59.2% | (/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)))) | |
| 22.0% | (/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))) | |
| 22.0% | (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))))) | |
| 28.1% | (*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (cbrt.f64 (PI.f64))) (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) | |
| ▶ | 28.3% | (*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) #s(literal 180 binary64)) |
| ▶ | 59.2% | (*.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))) |
| ▶ | 28.3% | (*.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (/.f64 #s(literal 1 binary64) (PI.f64))) |
| 56.5% | (*.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (/.f64 #s(literal 1 binary64) (PI.f64))) | |
| 28.3% | (*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 180 binary64))) | |
| 17.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C A)) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C A))) (*.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C A)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))))) (PI.f64))) | |
| ✓ | 21.5% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (*.f64 C B))) (PI.f64))) |
| ✓ | 22.0% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
| 27.0% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal -2 binary64) A) B)) (PI.f64))) | |
| 23.0% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) | |
| 26.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 A (neg.f64 B))) (PI.f64))) | |
| 45.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (PI.f64))) | |
| 41.6% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) | |
| 26.6% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (-.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (fma.f64 (-.f64 C A) (-.f64 C A) (fma.f64 (-.f64 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))))))) (PI.f64))) | |
| ✓ | 81.0% | (*.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))) |
| ✓ | 19.6% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
| 22.0% | (*.f64 #s(literal 180 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))))) | |
| 22.0% | (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))) |
Compiled 1 546 to 921 computations (40.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) B) |
| ✓ | cost-diff | 0 | (atan.f64 (/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) B)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) B))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) B))) (PI.f64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 B #s(literal -1/2 binary64)) C) |
| ✓ | cost-diff | 0 | (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) |
| ✓ | cost-diff | 320 | (*.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (/.f64 #s(literal 1 binary64) (PI.f64))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 B #s(literal -1/2 binary64)) C) |
| ✓ | cost-diff | 0 | (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) |
| ✓ | cost-diff | 0 | (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) #s(literal 180 binary64)) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (atan.f64 #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 1 binary64))) (PI.f64)) |
| ✓ | cost-diff | 0 | (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 180 binary64) (PI.f64)) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) |
| 5 136× | lower-fma.f32 |
| 5 132× | lower-fma.f64 |
| 1 420× | lower-*.f32 |
| 1 404× | lower-*.f64 |
| 1 028× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 294 |
| 0 | 68 | 292 |
| 1 | 111 | 292 |
| 2 | 183 | 292 |
| 3 | 336 | 292 |
| 4 | 665 | 292 |
| 5 | 1499 | 292 |
| 6 | 2658 | 292 |
| 7 | 3971 | 292 |
| 8 | 4741 | 292 |
| 9 | 4868 | 292 |
| 10 | 4899 | 292 |
| 11 | 4940 | 292 |
| 12 | 4960 | 292 |
| 13 | 5232 | 292 |
| 14 | 5334 | 292 |
| 15 | 5336 | 292 |
| 16 | 5336 | 292 |
| 17 | 5382 | 292 |
| 18 | 5667 | 292 |
| 0 | 5667 | 238 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.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 #s(literal 180 binary64) (PI.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 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B) |
(-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) |
(-.f64 C A) |
C |
A |
(sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) |
(fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)) |
(-.f64 A C) |
(*.f64 B B) |
B |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 1 binary64))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 1 binary64))) |
#s(literal 180 binary64) |
(atan.f64 #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(PI.f64) |
(*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) #s(literal 180 binary64)) |
(/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) |
(atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) C) |
(*.f64 B #s(literal -1/2 binary64)) |
B |
#s(literal -1/2 binary64) |
C |
(PI.f64) |
#s(literal 180 binary64) |
(*.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (/.f64 #s(literal 1 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) |
#s(literal 180 binary64) |
(atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) C) |
(*.f64 B #s(literal -1/2 binary64)) |
B |
#s(literal -1/2 binary64) |
C |
(/.f64 #s(literal 1 binary64) (PI.f64)) |
#s(literal 1 binary64) |
(PI.f64) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) B))) |
#s(literal 180 binary64) |
(atan.f64 (/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) B)) |
(/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) B) |
(-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) |
(neg.f64 A) |
A |
(sqrt.f64 (fma.f64 A A (*.f64 B B))) |
(fma.f64 A A (*.f64 B B)) |
(*.f64 B B) |
B |
(PI.f64) |
| Outputs |
|---|
(*.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) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B))) (PI.f64)) |
(/.f64 #s(literal 180 binary64) (PI.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)) |
(atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B)) |
(/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B) |
(/.f64 (-.f64 C (+.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 A C) (-.f64 A C) (*.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 A C) (-.f64 A C) (*.f64 B B))) |
(sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) |
(fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)) |
(fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)) |
(-.f64 A C) |
(*.f64 B B) |
B |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 1 binary64))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 1 binary64))) |
#s(literal 180 binary64) |
(atan.f64 #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(PI.f64) |
(*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) #s(literal 180 binary64)) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) |
(/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) |
(atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) C) |
(*.f64 B #s(literal -1/2 binary64)) |
B |
#s(literal -1/2 binary64) |
C |
(PI.f64) |
#s(literal 180 binary64) |
(*.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (/.f64 #s(literal 1 binary64) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) |
(*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) |
#s(literal 180 binary64) |
(atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) C) |
(*.f64 B #s(literal -1/2 binary64)) |
B |
#s(literal -1/2 binary64) |
C |
(/.f64 #s(literal 1 binary64) (PI.f64)) |
#s(literal 1 binary64) |
(PI.f64) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) B))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B)))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) B))) |
(*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B)))) |
#s(literal 180 binary64) |
(atan.f64 (/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) B)) |
(atan.f64 (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B))) |
(/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) B) |
(/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B)) |
(-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) |
(neg.f64 A) |
A |
(sqrt.f64 (fma.f64 A A (*.f64 B B))) |
(fma.f64 A A (*.f64 B B)) |
(*.f64 B B) |
B |
(PI.f64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) B))) |
| ✓ | accuracy | 96.4% | (/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) B) |
| ✓ | accuracy | 91.2% | (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) |
| ✓ | accuracy | 55.8% | (sqrt.f64 (fma.f64 A A (*.f64 B B))) |
| ✓ | accuracy | 100.0% | (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (/.f64 #s(literal 1 binary64) (PI.f64))) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) |
| ✓ | accuracy | 100.0% | (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.8% | (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) #s(literal 180 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 1 binary64))) (PI.f64)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (atan.f64 #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.9% | (*.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))) |
| ✓ | accuracy | 94.3% | (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B) |
| ✓ | accuracy | 86.8% | (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) |
| ✓ | accuracy | 46.4% | (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) |
| 51.0ms | 180× | 0 | valid |
| 36.0ms | 46× | 2 | valid |
| 17.0ms | 30× | 1 | valid |
Compiled 309 to 40 computations (87.1% saved)
ival-mult: 17.0ms (23.9% of total)ival-div: 15.0ms (21.1% of total)ival-hypot: 12.0ms (16.8% of total)ival-sub: 7.0ms (9.8% of total)adjust: 7.0ms (9.8% of total)ival-atan: 7.0ms (9.8% of total)ival-add: 3.0ms (4.2% of total)ival-pi: 2.0ms (2.8% of total)ival-neg: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.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)))> |
#<alt (/.f64 #s(literal 180 binary64) (PI.f64))> |
#<alt (PI.f64)> |
#<alt (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))> |
#<alt (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 1 binary64))) (PI.f64))> |
#<alt (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 1 binary64)))> |
#<alt (atan.f64 #s(literal 1 binary64))> |
#<alt (*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) #s(literal 180 binary64))> |
#<alt (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64))> |
#<alt (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))> |
#<alt (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)> |
#<alt (*.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (/.f64 #s(literal 1 binary64) (PI.f64)))> |
#<alt (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)))> |
#<alt (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) B))) (PI.f64))> |
#<alt (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) B)))> |
#<alt (atan.f64 (/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) B))> |
#<alt (/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) B)> |
#<alt (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))> |
#<alt (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))> |
#<alt (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)> |
#<alt (sqrt.f64 (fma.f64 A A (*.f64 B B)))> |
#<alt (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B))))> |
| Outputs |
|---|
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)))> |
#<alt (* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)))> |
#<alt (* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)))> |
#<alt (* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)))> |
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#<alt (+ 1 (* -1 (/ (+ A (* -1 (/ (+ (* -1/8 (/ (pow A 4) (pow B 2))) (* 1/2 (pow A 2))) B))) B)))> |
#<alt (sqrt (+ (pow B 2) (pow C 2)))> |
#<alt (+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))> |
#<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)))))))))> |
#<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))))))))))> |
#<alt A> |
#<alt (* A (+ 1 (* -1 (/ C A))))> |
#<alt (* A (+ 1 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2))))))> |
#<alt (* A (+ 1 (+ (* -1 (/ C A)) (+ (* 1/2 (/ (* (pow B 2) C) (pow A 3))) (* 1/2 (/ (pow B 2) (pow A 2)))))))> |
#<alt (* -1 A)> |
#<alt (* -1 (* A (+ 1 (* -1 (/ C A)))))> |
#<alt (* -1 (* A (+ 1 (* -1 (/ (+ C (* -1/2 (/ (pow B 2) A))) A)))))> |
#<alt (* -1 (* A (+ 1 (* -1 (/ (+ C (* -1 (/ (+ (* 1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A))) A)))))> |
#<alt (sqrt (+ (pow A 2) (pow B 2)))> |
#<alt (+ (sqrt (+ (pow A 2) (pow B 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))> |
#<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)))))))))> |
#<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))))))))))> |
#<alt C> |
#<alt (* C (+ 1 (* -1 (/ A C))))> |
#<alt (* C (+ 1 (+ (* -1 (/ A C)) (* 1/2 (/ (pow B 2) (pow C 2))))))> |
#<alt (* C (+ 1 (+ (* -1 (/ A C)) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 3))) (* 1/2 (/ (pow B 2) (pow C 2)))))))> |
#<alt (* -1 C)> |
#<alt (* -1 (* C (+ 1 (* -1 (/ A C)))))> |
#<alt (* -1 (* C (+ 1 (* -1 (/ (+ A (* -1/2 (/ (pow B 2) C))) C)))))> |
#<alt (* -1 (* C (+ 1 (* -1 (/ (+ A (* -1 (/ (+ (* 1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C))) C)))))> |
#<alt (- A C)> |
#<alt (- (+ A (* 1/2 (/ (pow B 2) (- A C)))) C)> |
#<alt (- (+ A (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) C)> |
#<alt (- (+ 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)> |
#<alt B> |
#<alt (* B (+ 1 (* 1/2 (/ (pow (- A C) 2) (pow B 2)))))> |
#<alt (* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (* 1/2 (/ (pow (- A C) 2) (pow B 2))))))> |
#<alt (* 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)))))))> |
#<alt (* -1 B)> |
#<alt (* -1 (* B (+ 1 (* 1/2 (/ (pow (- A C) 2) (pow B 2))))))> |
#<alt (* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (* 1/2 (/ (pow (- A C) 2) (pow B 2)))))))> |
#<alt (* -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))))))))> |
#<alt (* -1 (+ A (sqrt (+ (pow A 2) (pow B 2)))))> |
#<alt (- (* C (- 1 (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2)))))> |
#<alt (- (* 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)))))> |
#<alt (- (* 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)))))> |
#<alt (* -1 (+ A (* -1 A)))> |
#<alt (- (* -1/2 (/ (pow B 2) C)) (+ A (* -1 A)))> |
#<alt (- (* -1/2 (/ (* A (pow B 2)) (pow C 2))) (+ A (+ (* -1 A) (* 1/2 (/ (pow B 2) C)))))> |
#<alt (- (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (pow C 3))) (+ A (+ (* -1 A) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 2))) (* 1/2 (/ (pow B 2) C))))))> |
#<alt (* 2 C)> |
#<alt (* -1 (* C (- (* 2 (/ A C)) 2)))> |
#<alt (* -1 (* C (- (* -1 (/ (- (* 1/2 (/ (pow B 2) C)) (* 2 A)) C)) 2)))> |
#<alt (* -1 (* C (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C)) (* 2 A)) C)) 2)))> |
#<alt (- C (sqrt (+ (pow B 2) (pow C 2))))> |
#<alt (- (+ C (* -1 (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2))))> |
#<alt (- (+ C (* A (- (* -1/2 (* (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2))))> |
#<alt (- (+ C (* A (- (* A (- (* -1/2 (* (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow B 2) (pow C 2)))) (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2))))> |
#<alt (* -2 A)> |
#<alt (* A (- (/ C A) (+ 2 (* -1 (/ C A)))))> |
#<alt (* A (- (+ (* -1/2 (/ (pow B 2) (pow A 2))) (/ C A)) (+ 2 (* -1 (/ C A)))))> |
#<alt (* A (- (+ (* -1/2 (/ (* (pow B 2) C) (pow A 3))) (/ C A)) (+ 2 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2)))))))> |
#<alt (* 1/2 (/ (pow B 2) A))> |
#<alt (* -1 (/ (- (* -1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) A)) (* -1/2 (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A))> |
#<alt (- (* 2 C) (* 2 A))> |
#<alt (- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A))> |
#<alt (- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A))> |
#<alt (- (+ (* 2 C) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) (* 2 A))> |
#<alt (* -1 B)> |
#<alt (* B (- (/ C B) (+ 1 (/ A B))))> |
#<alt (* B (- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))))> |
#<alt (* B (- (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B)) (+ 1 (+ (* 1/2 (/ (pow (- A C) 2) (pow B 2))) (/ A B)))))> |
#<alt B> |
#<alt (* -1 (* B (- (* -1 (/ (- C A) B)) 1)))> |
#<alt (* -1 (* B (- (* -1 (/ (- (+ C (* 1/2 (/ (pow (- A C) 2) B))) A) B)) 1)))> |
#<alt (* -1 (* B (- (* -1 (/ (- (+ C (* -1 (/ (- (* 1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) A) B)) 1)))> |
#<alt (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))> |
#<alt (+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))))> |
#<alt (+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))))> |
#<alt (+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))))> |
#<alt (* -1 (/ (+ A (* -1 A)) B))> |
#<alt (+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C)))> |
#<alt (+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2)))))> |
#<alt (+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3)))))))> |
#<alt (* 2 (/ C B))> |
#<alt (* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B)))))> |
#<alt (* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B)))))> |
#<alt (* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B)))))> |
#<alt (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)> |
#<alt (- (+ (* -1 (/ (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))> |
#<alt (- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* -1/2 (* (/ (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))> |
#<alt (- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* A (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) B) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))> |
#<alt (* -2 (/ A B))> |
#<alt (* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B)))))> |
#<alt (* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B)))))> |
#<alt (* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B)))))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A))> |
#<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))> |
#<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))> |
#<alt (/ (- (* 2 C) (* 2 A)) B)> |
#<alt (/ (- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) B)> |
#<alt (/ (- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B)> |
#<alt (/ (- (+ (* 2 C) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B)> |
#<alt -1> |
#<alt (- (/ C B) (+ 1 (/ A B)))> |
#<alt (- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B)))> |
#<alt (- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B)))> |
#<alt 1> |
#<alt (- (+ 1 (/ C B)) (/ A B))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- A C) 2) B))) B)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) B)))> |
#<alt B> |
#<alt (+ B (* 1/2 (/ (pow A 2) B)))> |
#<alt (+ B (* (pow A 2) (+ (* -1/8 (/ (pow A 2) (pow B 3))) (* 1/2 (/ 1 B)))))> |
#<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)))))> |
#<alt A> |
#<alt (* A (+ 1 (* 1/2 (/ (pow B 2) (pow A 2)))))> |
#<alt (* A (+ 1 (+ (* -1/8 (/ (pow B 4) (pow A 4))) (* 1/2 (/ (pow B 2) (pow A 2))))))> |
#<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)))))))> |
#<alt (* -1 A)> |
#<alt (* -1 (* A (+ 1 (* 1/2 (/ (pow B 2) (pow A 2))))))> |
#<alt (* -1 (* A (+ 1 (+ (* -1/8 (/ (pow B 4) (pow A 4))) (* 1/2 (/ (pow B 2) (pow A 2)))))))> |
#<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))))))))> |
#<alt A> |
#<alt (+ A (* 1/2 (/ (pow B 2) A)))> |
#<alt (+ A (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow A 3))) (* 1/2 (/ 1 A)))))> |
#<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)))))> |
#<alt B> |
#<alt (* B (+ 1 (* 1/2 (/ (pow A 2) (pow B 2)))))> |
#<alt (* B (+ 1 (+ (* -1/8 (/ (pow A 4) (pow B 4))) (* 1/2 (/ (pow A 2) (pow B 2))))))> |
#<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)))))))> |
#<alt (* -1 B)> |
#<alt (* -1 (* B (+ 1 (* 1/2 (/ (pow A 2) (pow B 2))))))> |
#<alt (* -1 (* B (+ 1 (+ (* -1/8 (/ (pow A 4) (pow B 4))) (* 1/2 (/ (pow A 2) (pow B 2)))))))> |
#<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))))))))> |
#<alt (* -1 B)> |
#<alt (- (* -1 A) B)> |
#<alt (- (* A (- (* -1/2 (/ A B)) 1)) B)> |
#<alt (- (* A (- (* A (- (* 1/8 (/ (pow A 2) (pow B 3))) (* 1/2 (/ 1 B)))) 1)) B)> |
#<alt (* -2 A)> |
#<alt (* A (- (* -1/2 (/ (pow B 2) (pow A 2))) 2))> |
#<alt (* A (- (* 1/8 (/ (pow B 4) (pow A 4))) (+ 2 (* 1/2 (/ (pow B 2) (pow A 2))))))> |
#<alt (* A (- (* -1/16 (/ (pow B 6) (pow A 6))) (+ 2 (+ (* -1/8 (/ (pow B 4) (pow A 4))) (* 1/2 (/ (pow B 2) (pow A 2)))))))> |
#<alt (* 1/2 (/ (pow B 2) A))> |
#<alt (* -1 (/ (- (* 1/8 (/ (pow B 4) (pow A 2))) (* 1/2 (pow B 2))) A))> |
#<alt (* -1 (/ (- (* -1/16 (/ (pow B 6) (pow A 4))) (+ (* -1/8 (/ (pow B 4) (pow A 2))) (* 1/2 (pow B 2)))) A))> |
#<alt (* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (pow B 8)) (* 1/16 (pow B 8))) (pow A 6))) (+ (* -1/8 (/ (pow B 4) (pow A 2))) (+ (* 1/16 (/ (pow B 6) (pow A 4))) (* 1/2 (pow B 2))))) A))> |
#<alt (* -2 A)> |
#<alt (- (* -1/2 (/ (pow B 2) A)) (* 2 A))> |
#<alt (- (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow A 3))) (* 1/2 (/ 1 A)))) (* 2 A))> |
#<alt (- (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow A 5))) (* 1/8 (/ 1 (pow A 3))))) (* 1/2 (/ 1 A)))) (* 2 A))> |
#<alt (* -1 B)> |
#<alt (* B (- (* -1 (/ A B)) 1))> |
#<alt (* B (- (* -1/2 (/ (pow A 2) (pow B 2))) (+ 1 (/ A B))))> |
#<alt (* B (- (* 1/8 (/ (pow A 4) (pow B 4))) (+ 1 (+ (* 1/2 (/ (pow A 2) (pow B 2))) (/ A B)))))> |
#<alt B> |
#<alt (* -1 (* B (- (/ A B) 1)))> |
#<alt (* -1 (* B (- (* -1 (/ (- (* 1/2 (/ (pow A 2) B)) A) B)) 1)))> |
#<alt (* -1 (* B (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow A 4) (pow B 2))) (* 1/2 (pow A 2))) B)) A) B)) 1)))> |
117 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | B | @ | 0 | (/ (- (neg A) (sqrt (+ (* A A) (* B B)))) B) |
| 1.0ms | A | @ | -inf | (/ (* 180 (atan (/ (- (neg A) (sqrt (+ (* A A) (* B B)))) B))) (PI)) |
| 1.0ms | A | @ | inf | (/ (* 180 (atan (/ (- (neg A) (sqrt (+ (* A A) (* B B)))) B))) (PI)) |
| 1.0ms | B | @ | inf | (/ (* 180 (atan (/ (- (neg A) (sqrt (+ (* A A) (* B B)))) B))) (PI)) |
| 1.0ms | B | @ | -inf | (/ (* 180 (atan (/ (- (neg A) (sqrt (+ (* A A) (* B B)))) B))) (PI)) |
| 1× | batch-egg-rewrite |
| 4 502× | lower-*.f32 |
| 4 486× | lower-*.f64 |
| 4 142× | lower-fma.f32 |
| 4 138× | lower-fma.f64 |
| 4 130× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 222 |
| 0 | 68 | 215 |
| 1 | 242 | 215 |
| 2 | 1741 | 215 |
| 0 | 8508 | 166 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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 #s(literal 180 binary64) (PI.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 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 1 binary64))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 1 binary64))) |
(atan.f64 #s(literal 1 binary64)) |
(*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) #s(literal 180 binary64)) |
(/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) |
(atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) C) |
(*.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (/.f64 #s(literal 1 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) B))) |
(atan.f64 (/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) B)) |
(/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) B) |
(sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) |
(-.f64 (-.f64 C A) (sqrt.f64 (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) |
(sqrt.f64 (fma.f64 A A (*.f64 B B))) |
(-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) |
| Outputs |
|---|
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (*.f64 (PI.f64) #s(literal 1/180 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 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 (neg.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)))) (neg.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)) #s(literal 1 binary64)) (*.f64 (PI.f64) #s(literal 1/180 binary64))) |
(/.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 #s(literal 1 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) (*.f64 (PI.f64) #s(literal 1/180 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))) (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))) #s(literal 1 binary64)) (PI.f64)) |
(/.f64 (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(/.f64 (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(/.f64 (neg.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) (neg.f64 (*.f64 (PI.f64) #s(literal 1/180 binary64)))) |
(/.f64 (neg.f64 (neg.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))))) (neg.f64 (neg.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)) #s(literal 1 binary64))) (neg.f64 (*.f64 (PI.f64) #s(literal 1/180 binary64)))) |
(/.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))) (neg.f64 (neg.f64 (PI.f64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)))) (neg.f64 (*.f64 (PI.f64) #s(literal 1/180 binary64)))) |
(/.f64 (neg.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)))) (neg.f64 (neg.f64 (PI.f64)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) #s(literal 1 binary64))) (neg.f64 (PI.f64))) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 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 (*.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))) (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 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 (/.f64 #s(literal 1 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) (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) (PI.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 1 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 #s(literal 1 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (*.f64 (PI.f64) #s(literal 1/180 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) #s(literal 1/180 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)) (neg.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))) (/.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 #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 #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 (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 (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 (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)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 180 binary64)))) |
(*.f64 (/.f64 #s(literal 1 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)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 180 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 180 binary64)))) |
(*.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 1 binary64)) (/.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)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 #s(literal 180 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)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 180 binary64)))) |
(*.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 -1 binary64)) (/.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)) (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (/.f64 #s(literal -180 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)) (neg.f64 (sqrt.f64 (PI.f64)))) (/.f64 #s(literal -180 binary64) (sqrt.f64 (PI.f64)))) |
(*.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)) (neg.f64 (sqrt.f64 (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)) (neg.f64 (cbrt.f64 (PI.f64))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/180 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -180 binary64) (PI.f64))) |
(/.f64 #s(literal 180 binary64) (PI.f64)) |
(/.f64 #s(literal 180 binary64) (neg.f64 (neg.f64 (PI.f64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/180 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/180 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (PI.f64) #s(literal 1/180 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (PI.f64) #s(literal 1/180 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/180 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -180 binary64) (neg.f64 (PI.f64))) |
(/.f64 #s(literal -180 binary64) (neg.f64 (neg.f64 (neg.f64 (PI.f64))))) |
(/.f64 (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(/.f64 (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(/.f64 (neg.f64 (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (neg.f64 (cbrt.f64 (PI.f64)))) |
(/.f64 (neg.f64 (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (neg.f64 (sqrt.f64 (PI.f64)))) |
(pow.f64 (*.f64 (PI.f64) #s(literal 1/180 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/180 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 180 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 180 binary64)) |
(*.f64 #s(literal -180 binary64) (/.f64 #s(literal -1 binary64) (PI.f64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 180 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 180 binary64)) #s(literal -1 binary64))) |
(PI.f64) |
(log.f64 (exp.f64 (PI.f64))) |
(exp.f64 (log.f64 (PI.f64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 2 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (PI.f64)) #s(literal -1 binary64)))) |
(fabs.f64 (PI.f64)) |
(-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) #s(literal -1 binary64))) |
(sqrt.f64 (*.f64 (PI.f64) (PI.f64))) |
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) |
(/.f64 (PI.f64) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(/.f64 (neg.f64 (PI.f64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 1 binary64)) |
(pow.f64 (PI.f64) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64)) |
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) |
(pow.f64 (E.f64) (log.f64 (PI.f64))) |
(*.f64 (PI.f64) #s(literal 1 binary64)) |
(*.f64 (PI.f64) (log.f64 (E.f64))) |
(*.f64 #s(literal 1 binary64) (PI.f64)) |
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) |
(*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))))) |
(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (PI.f64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) |
(*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (PI.f64)))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))))) |
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) |
(*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (cbrt.f64 (PI.f64)))) |
(*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))) (cbrt.f64 (PI.f64))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) |
(neg.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) (neg.f64 B)))) |
(neg.f64 (atan.f64 (/.f64 (neg.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) B))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 A A (fma.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B))) (fma.f64 A A (*.f64 B B)))) (-.f64 (*.f64 A (*.f64 A A)) (*.f64 (fma.f64 A A (*.f64 B B)) (sqrt.f64 (fma.f64 A A (*.f64 B B))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (-.f64 (*.f64 A A) (fma.f64 A A (*.f64 B B))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 A A (fma.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B))) (fma.f64 A A (*.f64 B B)))) (-.f64 (*.f64 A (*.f64 A A)) (*.f64 (fma.f64 A A (*.f64 B B)) (sqrt.f64 (fma.f64 A A (*.f64 B B)))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (-.f64 (*.f64 A A) (fma.f64 A A (*.f64 B B)))))) |
(/.f64 (-.f64 (*.f64 A (*.f64 A A)) (*.f64 (fma.f64 A A (*.f64 B B)) (sqrt.f64 (fma.f64 A A (*.f64 B B))))) (fma.f64 A A (fma.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B))) (fma.f64 A A (*.f64 B B))))) |
(/.f64 (-.f64 (*.f64 A (*.f64 A A)) (*.f64 (fma.f64 A A (*.f64 B B)) (sqrt.f64 (fma.f64 A A (*.f64 B B))))) (fma.f64 A A (-.f64 (fma.f64 A A (*.f64 B B)) (*.f64 (neg.f64 A) (neg.f64 (sqrt.f64 (fma.f64 A A (*.f64 B B)))))))) |
(/.f64 (-.f64 (*.f64 A A) (fma.f64 A A (*.f64 B B))) (+.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B))))) |
(/.f64 (-.f64 (*.f64 A A) (fma.f64 A A (*.f64 B B))) (-.f64 (neg.f64 A) (neg.f64 (sqrt.f64 (fma.f64 A A (*.f64 B B)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 A (*.f64 A A)) (*.f64 (fma.f64 A A (*.f64 B B)) (sqrt.f64 (fma.f64 A A (*.f64 B B)))))) (neg.f64 (fma.f64 A A (fma.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B))) (fma.f64 A A (*.f64 B B)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 A (*.f64 A A)) (*.f64 (fma.f64 A A (*.f64 B B)) (sqrt.f64 (fma.f64 A A (*.f64 B B)))))) (neg.f64 (fma.f64 A A (-.f64 (fma.f64 A A (*.f64 B B)) (*.f64 (neg.f64 A) (neg.f64 (sqrt.f64 (fma.f64 A A (*.f64 B B))))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 A A) (fma.f64 A A (*.f64 B B)))) (neg.f64 (+.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 A A) (fma.f64 A A (*.f64 B B)))) (neg.f64 (-.f64 (neg.f64 A) (neg.f64 (sqrt.f64 (fma.f64 A A (*.f64 B B))))))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 A (*.f64 A A))) (sqrt.f64 (fma.f64 (*.f64 B B) (-.f64 (*.f64 B B) (*.f64 A A)) (*.f64 (*.f64 A A) (*.f64 A A))))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 A A (*.f64 #s(literal 0 binary64) A))) (sqrt.f64 (fma.f64 (*.f64 A A) (*.f64 (*.f64 A A) (*.f64 A A)) (*.f64 (*.f64 B B) (*.f64 B (*.f64 B (*.f64 B B)))))))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 A A (*.f64 #s(literal 0 binary64) A))) (sqrt.f64 (fma.f64 (*.f64 B B) (-.f64 (*.f64 B B) (*.f64 A A)) (*.f64 (*.f64 A A) (*.f64 A A)))))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 A (*.f64 A A))) (sqrt.f64 (*.f64 (+.f64 A B) (-.f64 A B)))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 A A (*.f64 #s(literal 0 binary64) A))) (sqrt.f64 (*.f64 (fma.f64 A A (*.f64 B B)) (*.f64 (+.f64 A B) (-.f64 A B)))))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 A A (*.f64 #s(literal 0 binary64) A))) (sqrt.f64 (*.f64 (+.f64 A B) (-.f64 A B))))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 A A)) (sqrt.f64 (fma.f64 (*.f64 B B) (-.f64 (*.f64 B B) (*.f64 A A)) (*.f64 (*.f64 A A) (*.f64 A A))))) (*.f64 (+.f64 #s(literal 0 binary64) A) (sqrt.f64 (fma.f64 (*.f64 A A) (*.f64 (*.f64 A A) (*.f64 A A)) (*.f64 (*.f64 B B) (*.f64 B (*.f64 B (*.f64 B B)))))))) (*.f64 (+.f64 #s(literal 0 binary64) A) (sqrt.f64 (fma.f64 (*.f64 B B) (-.f64 (*.f64 B B) (*.f64 A A)) (*.f64 (*.f64 A A) (*.f64 A A)))))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 A A)) (sqrt.f64 (*.f64 (+.f64 A B) (-.f64 A B)))) (*.f64 (+.f64 #s(literal 0 binary64) A) (sqrt.f64 (*.f64 (fma.f64 A A (*.f64 B B)) (*.f64 (+.f64 A B) (-.f64 A B)))))) (*.f64 (+.f64 #s(literal 0 binary64) A) (sqrt.f64 (*.f64 (+.f64 A B) (-.f64 A B))))) |
(/.f64 (-.f64 (*.f64 (*.f64 A (*.f64 A A)) (fma.f64 A A (fma.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B))) (fma.f64 A A (*.f64 B B))))) (*.f64 (fma.f64 A A (fma.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B))) (fma.f64 A A (*.f64 B B)))) (*.f64 (fma.f64 A A (*.f64 B B)) (sqrt.f64 (fma.f64 A A (*.f64 B B)))))) (*.f64 (fma.f64 A A (fma.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B))) (fma.f64 A A (*.f64 B B)))) (fma.f64 A A (fma.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B))) (fma.f64 A A (*.f64 B B)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 A A) (+.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B))))) (*.f64 (+.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (fma.f64 A A (*.f64 B B)))) (*.f64 (+.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (+.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 A (*.f64 A A)) (*.f64 (fma.f64 A A (*.f64 B B)) (sqrt.f64 (fma.f64 A A (*.f64 B B))))))) (neg.f64 (neg.f64 (fma.f64 A A (fma.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B))) (fma.f64 A A (*.f64 B B))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 A A) (fma.f64 A A (*.f64 B B))))) (neg.f64 (neg.f64 (+.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B))))))) |
(/.f64 (fma.f64 (fma.f64 A A (*.f64 B B)) (neg.f64 (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (*.f64 A (*.f64 A A))) (+.f64 (fma.f64 A A (*.f64 B B)) (-.f64 (*.f64 A A) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 A))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (*.f64 #s(literal 0 binary64) (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 A (neg.f64 (sqrt.f64 (fma.f64 A A (*.f64 B B))))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 A (neg.f64 (sqrt.f64 (fma.f64 A A (*.f64 B B))))) (-.f64 A (neg.f64 (sqrt.f64 (fma.f64 A A (*.f64 B B))))) (*.f64 #s(literal 0 binary64) (-.f64 A (neg.f64 (sqrt.f64 (fma.f64 A A (*.f64 B B))))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 A (*.f64 A A)) (fma.f64 A A (fma.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B))) (fma.f64 A A (*.f64 B B))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (fma.f64 A A (*.f64 B B)) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (fma.f64 A A (fma.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B))) (fma.f64 A A (*.f64 B B))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 A (*.f64 A A)) (fma.f64 A A (fma.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B))) (fma.f64 A A (*.f64 B B))))) (/.f64 (*.f64 A (*.f64 A A)) (fma.f64 A A (fma.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B))) (fma.f64 A A (*.f64 B B))))) (fma.f64 (/.f64 (*.f64 (fma.f64 A A (*.f64 B B)) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (fma.f64 A A (fma.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B))) (fma.f64 A A (*.f64 B B))))) (/.f64 (*.f64 (fma.f64 A A (*.f64 B B)) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (fma.f64 A A (fma.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B))) (fma.f64 A A (*.f64 B B))))) (*.f64 (/.f64 (*.f64 A (*.f64 A A)) (fma.f64 A A (fma.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B))) (fma.f64 A A (*.f64 B B))))) (/.f64 (*.f64 (fma.f64 A A (*.f64 B B)) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (fma.f64 A A (fma.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B))) (fma.f64 A A (*.f64 B B))))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 A A) (+.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 A A (*.f64 B B)) (+.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 A A) (+.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B))))) (/.f64 (*.f64 A A) (+.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B))))) (fma.f64 (/.f64 (fma.f64 A A (*.f64 B B)) (+.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B))))) (/.f64 (fma.f64 A A (*.f64 B B)) (+.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B))))) (*.f64 (/.f64 (*.f64 A A) (+.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B))))) (/.f64 (fma.f64 A A (*.f64 B B)) (+.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B))))))))) |
(pow.f64 (/.f64 (fma.f64 A A (fma.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B))) (fma.f64 A A (*.f64 B B)))) (-.f64 (*.f64 A (*.f64 A A)) (*.f64 (fma.f64 A A (*.f64 B B)) (sqrt.f64 (fma.f64 A A (*.f64 B B)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (-.f64 (*.f64 A A) (fma.f64 A A (*.f64 B B)))) #s(literal -1 binary64)) |
(*.f64 (-.f64 (*.f64 A (*.f64 A A)) (*.f64 (fma.f64 A A (*.f64 B B)) (sqrt.f64 (fma.f64 A A (*.f64 B B))))) (/.f64 #s(literal 1 binary64) (fma.f64 A A (fma.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B))) (fma.f64 A A (*.f64 B B)))))) |
(*.f64 (-.f64 (*.f64 A A) (fma.f64 A A (*.f64 B B))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B)))))) |
| 1× | egg-herbie |
| 9 012× | lower-fma.f64 |
| 9 012× | lower-fma.f32 |
| 6 106× | lower-*.f64 |
| 6 106× | lower-*.f32 |
| 4 596× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 836 | 7573 |
| 1 | 2519 | 7386 |
| 2 | 7550 | 7385 |
| 0 | 8101 | 6301 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow 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))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- 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)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(/ (atan (* -1/2 (/ B C))) (PI)) |
(/ (atan (* -1/2 (/ B C))) (PI)) |
(/ (atan (* -1/2 (/ B C))) (PI)) |
(/ (atan (* -1/2 (/ B C))) (PI)) |
(/ (atan (* -1/2 (/ B C))) (PI)) |
(/ (atan (* -1/2 (/ B C))) (PI)) |
(/ (atan (* -1/2 (/ B C))) (PI)) |
(/ (atan (* -1/2 (/ B C))) (PI)) |
(/ (atan (* -1/2 (/ B C))) (PI)) |
(/ (atan (* -1/2 (/ B C))) (PI)) |
(/ (atan (* -1/2 (/ B C))) (PI)) |
(/ (atan (* -1/2 (/ B C))) (PI)) |
(/ (atan (* -1/2 (/ B C))) (PI)) |
(/ (atan (* -1/2 (/ B C))) (PI)) |
(/ (atan (* -1/2 (/ B C))) (PI)) |
(/ (atan (* -1/2 (/ B C))) (PI)) |
(/ (atan (* -1/2 (/ B C))) (PI)) |
(/ (atan (* -1/2 (/ B C))) (PI)) |
(/ (atan (* -1/2 (/ B C))) (PI)) |
(/ (atan (* -1/2 (/ B C))) (PI)) |
(/ (atan (* -1/2 (/ B C))) (PI)) |
(/ (atan (* -1/2 (/ B C))) (PI)) |
(/ (atan (* -1/2 (/ B C))) (PI)) |
(/ (atan (* -1/2 (/ B C))) (PI)) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(atan (* -1/2 (/ B C))) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* -1/2 (/ B C)) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(* 180 (atan (* -1/2 (/ B C)))) |
(* 180 (atan (* -1/2 (/ B C)))) |
(* 180 (atan (* -1/2 (/ B C)))) |
(* 180 (atan (* -1/2 (/ B C)))) |
(* 180 (atan (* -1/2 (/ B C)))) |
(* 180 (atan (* -1/2 (/ B C)))) |
(* 180 (atan (* -1/2 (/ B C)))) |
(* 180 (atan (* -1/2 (/ B C)))) |
(* 180 (atan (* -1/2 (/ B C)))) |
(* 180 (atan (* -1/2 (/ B C)))) |
(* 180 (atan (* -1/2 (/ B C)))) |
(* 180 (atan (* -1/2 (/ B C)))) |
(* 180 (atan (* -1/2 (/ B C)))) |
(* 180 (atan (* -1/2 (/ B C)))) |
(* 180 (atan (* -1/2 (/ B C)))) |
(* 180 (atan (* -1/2 (/ B C)))) |
(* 180 (atan (* -1/2 (/ B C)))) |
(* 180 (atan (* -1/2 (/ B C)))) |
(* 180 (atan (* -1/2 (/ B C)))) |
(* 180 (atan (* -1/2 (/ B C)))) |
(* 180 (atan (* -1/2 (/ B C)))) |
(* 180 (atan (* -1/2 (/ B C)))) |
(* 180 (atan (* -1/2 (/ B C)))) |
(* 180 (atan (* -1/2 (/ B C)))) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(* 180 (/ (atan (/ (- (* -1 A) (sqrt (+ (pow A 2) (pow B 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (* -1 A) (sqrt (+ (pow A 2) (pow B 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (* -1 A) (sqrt (+ (pow A 2) (pow B 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (* -1 A) (sqrt (+ (pow A 2) (pow B 2)))) B)) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(* 180 (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)))) |
(* 180 (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)))) |
(* 180 (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)))) |
(* 180 (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)))) |
(* 180 (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)))) |
(* 180 (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)))) |
(* 180 (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)))) |
(* 180 (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)))) |
(* 180 (atan (/ (- (* -1 A) (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(* 180 (atan (/ (- (* -1 A) (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(* 180 (atan (/ (- (* -1 A) (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(* 180 (atan (/ (- (* -1 A) (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(* 180 (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)))) |
(* 180 (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)))) |
(* 180 (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)))) |
(* 180 (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)))) |
(* 180 (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)))) |
(* 180 (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)))) |
(* 180 (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)))) |
(* 180 (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)))) |
(* 180 (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)))) |
(* 180 (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)))) |
(* 180 (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)))) |
(* 180 (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan (/ (- (* -1 A) (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(atan (/ (- (* -1 A) (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(atan (/ (- (* -1 A) (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(atan (/ (- (* -1 A) (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) 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))) |
(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))) |
(* -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))) |
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)))))))) |
(* -1 B) |
(- (* -1 A) B) |
(- (* A (- (* -1/2 (/ A B)) 1)) B) |
(- (* A (- (* A (- (* 1/8 (/ (pow A 2) (pow B 3))) (* 1/2 (/ 1 B)))) 1)) B) |
(* -2 A) |
(* A (- (* -1/2 (/ (pow B 2) (pow A 2))) 2)) |
(* A (- (* 1/8 (/ (pow B 4) (pow A 4))) (+ 2 (* 1/2 (/ (pow B 2) (pow A 2)))))) |
(* A (- (* -1/16 (/ (pow B 6) (pow A 6))) (+ 2 (+ (* -1/8 (/ (pow B 4) (pow A 4))) (* 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 (/ (- (* -1/16 (/ (pow B 6) (pow A 4))) (+ (* -1/8 (/ (pow B 4) (pow A 2))) (* 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)) |
(- (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow A 3))) (* 1/2 (/ 1 A)))) (* 2 A)) |
(- (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow A 5))) (* 1/8 (/ 1 (pow A 3))))) (* 1/2 (/ 1 A)))) (* 2 A)) |
(* -1 B) |
(* B (- (* -1 (/ A B)) 1)) |
(* B (- (* -1/2 (/ (pow A 2) (pow B 2))) (+ 1 (/ A B)))) |
(* B (- (* 1/8 (/ (pow A 4) (pow B 4))) (+ 1 (+ (* 1/2 (/ (pow A 2) (pow B 2))) (/ A B))))) |
B |
(* -1 (* B (- (/ A B) 1))) |
(* -1 (* B (- (* -1 (/ (- (* 1/2 (/ (pow A 2) B)) A) B)) 1))) |
(* -1 (* B (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow A 4) (pow B 2))) (* 1/2 (pow A 2))) B)) A) B)) 1))) |
| Outputs |
|---|
(* 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 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) 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 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) 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 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) 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 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) 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 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) 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 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) 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 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) 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 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) 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 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) (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 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) (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 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) (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 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) (neg.f64 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 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) 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 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) 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 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) 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 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) 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 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) 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 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) 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 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) 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 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(/.f64 (*.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)) |
(* 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 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(/.f64 (*.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)) |
(* 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 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) 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 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) 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 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) 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 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) 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 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) 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 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) 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 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) 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 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) 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 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) 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 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) 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 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) 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 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) 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 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) (PI.f64)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan.f64 (/.f64 (+.f64 (-.f64 A C) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) (neg.f64 B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan.f64 (/.f64 (+.f64 (-.f64 A C) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) (neg.f64 B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan.f64 (/.f64 (+.f64 (-.f64 A C) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) (neg.f64 B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan.f64 (/.f64 (+.f64 (-.f64 A C) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) (neg.f64 B))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) |
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(fma.f64 A (fma.f64 #s(literal -1/2 binary64) (/.f64 A (*.f64 B B)) (/.f64 #s(literal -1 binary64) B)) #s(literal -1 binary64)) |
(- (* A (- (* A (- (* 1/8 (/ (pow A 2) (pow B 4))) (* 1/2 (/ 1 (pow B 2))))) (/ 1 B))) 1) |
(fma.f64 A (fma.f64 A (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 A A) (pow.f64 B #s(literal 4 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 B B))) (/.f64 #s(literal -1 binary64) B)) #s(literal -1 binary64)) |
(* -2 (/ A B)) |
(/.f64 (*.f64 A #s(literal -2 binary64)) B) |
(* 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))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (* 1/8 (/ (pow B 3) (pow A 4)))) (* 2 (/ 1 B)))) |
(*.f64 A (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 B (*.f64 B B)) (pow.f64 A #s(literal 4 binary64))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) (*.f64 A A)) (/.f64 #s(literal -2 binary64) 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)))) |
(*.f64 A (fma.f64 B (/.f64 #s(literal -1/2 binary64) (*.f64 A A)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 B (*.f64 B B)) (pow.f64 A #s(literal 4 binary64))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 B #s(literal 5 binary64)) (pow.f64 A #s(literal 6 binary64))) (/.f64 #s(literal -2 binary64) B))))) |
(* 1/2 (/ B A)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) B) A) |
(* -1 (/ (+ (* -1/2 B) (* 1/8 (/ (pow B 3) (pow A 2)))) A)) |
(/.f64 (fma.f64 B #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 B (*.f64 B B))) (*.f64 A A))) (neg.f64 A)) |
(* -1 (/ (+ (* -1/2 B) (+ (* -1/16 (/ (pow B 5) (pow A 4))) (* 1/8 (/ (pow B 3) (pow A 2))))) A)) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 B (*.f64 B B)) (*.f64 A A)) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 B #s(literal 5 binary64)) (pow.f64 A #s(literal 4 binary64))) (*.f64 B #s(literal -1/2 binary64)))) (neg.f64 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)) |
(/.f64 (fma.f64 B #s(literal -1/2 binary64) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 B #s(literal 5 binary64)) (pow.f64 A #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 B (*.f64 B B)) (*.f64 A A)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 B #s(literal 8 binary64)) #s(literal 5/64 binary64))) (*.f64 B (pow.f64 A #s(literal 6 binary64))))))) (neg.f64 A)) |
(* -2 (/ A B)) |
(/.f64 (*.f64 A #s(literal -2 binary64)) B) |
(/ (+ (* -2 A) (* -1/2 (/ (pow B 2) A))) B) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) A) (*.f64 A #s(literal -2 binary64))) B) |
(/ (+ (* -2 A) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow A 3))) (* 1/2 (/ 1 A))))) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/8 binary64) (*.f64 A (*.f64 A A))) (/.f64 #s(literal -1/2 binary64) A)) (*.f64 A #s(literal -2 binary64))) 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) |
(/.f64 (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)) (*.f64 A #s(literal -2 binary64))) B) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ A B)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 A (neg.f64 B))) |
(- (+ (* -1 (/ A B)) (* -1/2 (/ (pow A 2) (pow B 2)))) 1) |
(-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 A A) (*.f64 B B)) #s(literal -1 binary64)) (/.f64 A B)) |
(- (+ (* -1 (/ A B)) (+ (* -1/2 (/ (pow A 2) (pow B 2))) (* 1/8 (/ (pow A 4) (pow B 4))))) 1) |
(+.f64 #s(literal -1 binary64) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 A A) (*.f64 B B)) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 A #s(literal 4 binary64))) (pow.f64 B #s(literal 4 binary64)))) (/.f64 A B))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ A B))) |
(-.f64 #s(literal 1 binary64) (/.f64 A B)) |
(+ 1 (* -1 (/ (+ A (* -1/2 (/ (pow A 2) B))) B))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 A A) B) A) B)) |
(+ 1 (* -1 (/ (+ A (* -1 (/ (+ (* -1/8 (/ (pow A 4) (pow B 2))) (* 1/2 (pow A 2))) B))) B))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 A (/.f64 (fma.f64 A (*.f64 A #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 A #s(literal 4 binary64))) (*.f64 B B))) B)) B)) |
(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 A) C) (sqrt.f64 (fma.f64 C C (*.f64 B B)))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* A (+ (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (* 1/2 (* (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))))) |
(fma.f64 A (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) A) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 C C) (fma.f64 C C (*.f64 B B)))) (neg.f64 C))) (sqrt.f64 (fma.f64 C C (*.f64 B B)))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* A (+ (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (* A (+ (* 1/2 (* (sqrt (/ 1 (+ (pow B 2) (pow C 2)))) (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (* 1/2 (* (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3)))))))))) |
(fma.f64 A (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) A) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 C C) (fma.f64 C C (*.f64 B B)))) (neg.f64 C)) (*.f64 (*.f64 A #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 C A) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 C C) (fma.f64 C C (*.f64 B B))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 C C (*.f64 B B)) (*.f64 (fma.f64 C C (*.f64 B B)) (fma.f64 C C (*.f64 B B))))))))) (sqrt.f64 (fma.f64 C C (*.f64 B B)))) |
A |
(* A (+ 1 (* -1 (/ C A)))) |
(fma.f64 (neg.f64 A) (/.f64 C A) A) |
(* A (+ 1 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2)))))) |
(fma.f64 A (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/2 binary64) (*.f64 A A)) (/.f64 C (neg.f64 A))) A) |
(* A (+ 1 (+ (* -1 (/ C A)) (+ (* 1/2 (/ (* (pow B 2) C) (pow A 3))) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(fma.f64 A (fma.f64 #s(literal 1/2 binary64) (fma.f64 B (/.f64 B (*.f64 A A)) (/.f64 (*.f64 C (*.f64 B B)) (*.f64 A (*.f64 A A)))) (/.f64 C (neg.f64 A))) A) |
(* -1 A) |
(neg.f64 A) |
(* -1 (* A (+ 1 (* -1 (/ C A))))) |
(neg.f64 (fma.f64 (neg.f64 A) (/.f64 C 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 C (/.f64 (*.f64 B B) A) (*.f64 B B))) A)) (neg.f64 A)) A)) |
(sqrt (+ (pow A 2) (pow B 2))) |
(sqrt.f64 (fma.f64 A A (*.f64 B B))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (*.f64 (neg.f64 A) C) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* C (+ (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (* 1/2 (* (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(fma.f64 C (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) C) (-.f64 #s(literal 1 binary64) (*.f64 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)))))))))) |
(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))))) (neg.f64 A)) (*.f64 (*.f64 C (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 C A)) (-.f64 #s(literal 1 binary64) (*.f64 A (/.f64 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)))))))) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) |
C |
(* C (+ 1 (* -1 (/ A C)))) |
(fma.f64 C (/.f64 A (neg.f64 C)) C) |
(* C (+ 1 (+ (* -1 (/ A C)) (* 1/2 (/ (pow B 2) (pow C 2)))))) |
(fma.f64 C (fma.f64 #s(literal 1/2 binary64) (*.f64 B (/.f64 B (*.f64 C C))) (/.f64 A (neg.f64 C))) C) |
(* C (+ 1 (+ (* -1 (/ A C)) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 3))) (* 1/2 (/ (pow B 2) (pow C 2))))))) |
(fma.f64 C (fma.f64 #s(literal 1/2 binary64) (fma.f64 A (/.f64 (*.f64 B B) (*.f64 C (*.f64 C C))) (*.f64 B (/.f64 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 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) C) A) C) (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 (neg.f64 (/.f64 (+.f64 A (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 A (/.f64 (*.f64 B B) C) (*.f64 B B))) C)) C)) C)) |
(- A C) |
(-.f64 A C) |
(- (+ A (* 1/2 (/ (pow B 2) (- A C)))) C) |
(-.f64 (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/2 binary64) (-.f64 A C)) A) C) |
(- (+ A (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) C) |
(-.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))) A) C) |
(- (+ A (* (pow B 2) (+ (* (pow B 2) (- (* 1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) C) |
(-.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 B B) (pow.f64 (-.f64 A C) #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (-.f64 A C))))) (/.f64 #s(literal 1/2 binary64) (-.f64 A C))) A) C) |
B |
(* B (+ 1 (* 1/2 (/ (pow (- A C) 2) (pow B 2))))) |
(fma.f64 B (*.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (/.f64 #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 (*.f64 (-.f64 A C) (-.f64 A C)) (/.f64 #s(literal 1/2 binary64) (*.f64 B B)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 A C) #s(literal 4 binary64))) (pow.f64 B #s(literal 4 binary64)))) B) |
(* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (+ (* 1/16 (/ (pow (- A C) 6) (pow B 6))) (* 1/2 (/ (pow (- A C) 2) (pow B 2))))))) |
(fma.f64 B (fma.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (/.f64 #s(literal 1/2 binary64) (*.f64 B B)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (-.f64 A C) #s(literal 6 binary64)) (pow.f64 B #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 A C) #s(literal 4 binary64))) (pow.f64 B #s(literal 4 binary64))))) B) |
(* -1 B) |
(neg.f64 B) |
(* -1 (* B (+ 1 (* 1/2 (/ (pow (- A C) 2) (pow B 2)))))) |
(*.f64 (fma.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (/.f64 #s(literal 1/2 binary64) (*.f64 B B)) #s(literal 1 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))))))) |
(neg.f64 (fma.f64 B (fma.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (/.f64 #s(literal 1/2 binary64) (*.f64 B B)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 A C) #s(literal 4 binary64))) (pow.f64 B #s(literal 4 binary64)))) B)) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (+ (* 1/16 (/ (pow (- A C) 6) (pow B 6))) (* 1/2 (/ (pow (- A C) 2) (pow B 2)))))))) |
(neg.f64 (fma.f64 B (fma.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (/.f64 #s(literal 1/2 binary64) (*.f64 B B)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (-.f64 A C) #s(literal 6 binary64)) (pow.f64 B #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 A C) #s(literal 4 binary64))) (pow.f64 B #s(literal 4 binary64))))) B)) |
(* -1 (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(-.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))))) |
(fma.f64 C (fma.f64 C (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 C A) (-.f64 #s(literal 1 binary64) (*.f64 A (/.f64 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (-.f64 #s(literal 1 binary64) (*.f64 A (/.f64 A (fma.f64 A A (*.f64 B B)))))))) (fma.f64 A (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) #s(literal 1 binary64))) (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B))))) |
(* -1 (+ A (* -1 A))) |
#s(literal 0 binary64) |
(- (* -1/2 (/ (pow B 2) C)) (+ A (* -1 A))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) C) #s(literal 0 binary64)) |
(- (* -1/2 (/ (* A (pow B 2)) (pow C 2))) (+ A (+ (* -1 A) (* 1/2 (/ (pow B 2) C))))) |
(-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 A (*.f64 B B))) (*.f64 C C)) (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/2 binary64) C) #s(literal 0 binary64))) |
(- (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (pow C 3))) (+ A (+ (* -1 A) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 2))) (* 1/2 (/ (pow B 2) C)))))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 A (*.f64 A (*.f64 B B)))) (*.f64 C (*.f64 C C)))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 A (*.f64 B (/.f64 B (*.f64 C C))) (/.f64 (*.f64 B B) C)) #s(literal 0 binary64))) |
(* 2 C) |
(*.f64 C #s(literal 2 binary64)) |
(* -1 (* C (- (* 2 (/ A C)) 2))) |
(*.f64 (fma.f64 A (/.f64 #s(literal 2 binary64) C) #s(literal -2 binary64)) (neg.f64 C)) |
(* -1 (* C (- (* -1 (/ (- (* 1/2 (/ (pow B 2) C)) (* 2 A)) C)) 2))) |
(neg.f64 (*.f64 C (+.f64 #s(literal -2 binary64) (/.f64 (fma.f64 A #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 B B) 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 A #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 A (/.f64 (*.f64 B B) C) (*.f64 B B))) (neg.f64 C))) (neg.f64 C))) (neg.f64 C)) |
(- C (sqrt (+ (pow B 2) (pow C 2)))) |
(-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) |
(- (+ C (* -1 (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
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-1 |
#s(literal -1 binary64) |
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1 |
#s(literal 1 binary64) |
(- (+ 1 (/ C B)) (/ A B)) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- A C) 2) B))) B))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 A C) (/.f64 (-.f64 A C) B)) (-.f64 A C)) B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) B))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 A C) (/.f64 (fma.f64 (-.f64 A C) (*.f64 (-.f64 A C) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 A C) #s(literal 4 binary64))) (*.f64 B B))) B)) B)) |
B |
(+ B (* 1/2 (/ (pow A 2) B))) |
(fma.f64 A (*.f64 A (/.f64 #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))))) |
(*.f64 A (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/2 binary64) (*.f64 A A)) #s(literal 1 binary64))) |
(* A (+ 1 (+ (* -1/8 (/ (pow B 4) (pow A 4))) (* 1/2 (/ (pow B 2) (pow A 2)))))) |
(fma.f64 A (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/2 binary64) (*.f64 A A)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 B #s(literal 4 binary64))) (pow.f64 A #s(literal 4 binary64)))) 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 1/16 binary64) (/.f64 (pow.f64 B #s(literal 6 binary64)) (pow.f64 A #s(literal 6 binary64))) (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/2 binary64) (*.f64 A A)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 B #s(literal 4 binary64))) (pow.f64 A #s(literal 4 binary64))))) A) |
(* -1 A) |
(neg.f64 A) |
(* -1 (* A (+ 1 (* 1/2 (/ (pow B 2) (pow A 2)))))) |
(neg.f64 (*.f64 A (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/2 binary64) (*.f64 A A)) #s(literal 1 binary64)))) |
(* -1 (* A (+ 1 (+ (* -1/8 (/ (pow B 4) (pow A 4))) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(*.f64 (neg.f64 A) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 B #s(literal 4 binary64)) (pow.f64 A #s(literal 4 binary64))) (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/2 binary64) (*.f64 A A)) #s(literal 1 binary64)))) |
(* -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 1/16 binary64) (/.f64 (pow.f64 B #s(literal 6 binary64)) (pow.f64 A #s(literal 6 binary64))) (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/2 binary64) (*.f64 A A)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 B #s(literal 4 binary64))) (pow.f64 A #s(literal 4 binary64))))) A)) |
A |
(+ A (* 1/2 (/ (pow B 2) A))) |
(fma.f64 B (*.f64 B (/.f64 #s(literal 1/2 binary64) 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 (/.f64 (*.f64 B B) (*.f64 A (*.f64 A A))) #s(literal -1/8 binary64) (/.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))))) |
(*.f64 B (fma.f64 (*.f64 A A) (/.f64 #s(literal 1/2 binary64) (*.f64 B B)) #s(literal 1 binary64))) |
(* B (+ 1 (+ (* -1/8 (/ (pow A 4) (pow B 4))) (* 1/2 (/ (pow A 2) (pow B 2)))))) |
(fma.f64 B (fma.f64 (/.f64 (pow.f64 A #s(literal 4 binary64)) (pow.f64 B #s(literal 4 binary64))) #s(literal -1/8 binary64) (/.f64 (*.f64 A (*.f64 A #s(literal 1/2 binary64))) (*.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 1/16 binary64) (/.f64 (pow.f64 A #s(literal 6 binary64)) (pow.f64 B #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 A #s(literal 4 binary64)) (pow.f64 B #s(literal 4 binary64))) #s(literal -1/8 binary64) (/.f64 (*.f64 A (*.f64 A #s(literal 1/2 binary64))) (*.f64 B B)))) B) |
(* -1 B) |
(neg.f64 B) |
(* -1 (* B (+ 1 (* 1/2 (/ (pow A 2) (pow B 2)))))) |
(neg.f64 (*.f64 B (fma.f64 (*.f64 A A) (/.f64 #s(literal 1/2 binary64) (*.f64 B B)) #s(literal 1 binary64)))) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow A 4) (pow B 4))) (* 1/2 (/ (pow A 2) (pow B 2))))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 A #s(literal 4 binary64)) (pow.f64 B #s(literal 4 binary64))) #s(literal -1/8 binary64) (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))) (+ (* 1/16 (/ (pow A 6) (pow B 6))) (* 1/2 (/ (pow A 2) (pow B 2)))))))) |
(neg.f64 (fma.f64 B (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 A #s(literal 6 binary64)) (pow.f64 B #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 A #s(literal 4 binary64)) (pow.f64 B #s(literal 4 binary64))) #s(literal -1/8 binary64) (/.f64 (*.f64 A (*.f64 A #s(literal 1/2 binary64))) (*.f64 B B)))) B)) |
(* -1 B) |
(neg.f64 B) |
(- (* -1 A) B) |
(-.f64 (neg.f64 A) B) |
(- (* A (- (* -1/2 (/ A B)) 1)) B) |
(fma.f64 A (fma.f64 #s(literal -1/2 binary64) (/.f64 A B) #s(literal -1 binary64)) (neg.f64 B)) |
(- (* A (- (* A (- (* 1/8 (/ (pow A 2) (pow B 3))) (* 1/2 (/ 1 B)))) 1)) B) |
(fma.f64 A (fma.f64 A (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 A A) (*.f64 B (*.f64 B B))) (/.f64 #s(literal -1/2 binary64) B)) #s(literal -1 binary64)) (neg.f64 B)) |
(* -2 A) |
(*.f64 A #s(literal -2 binary64)) |
(* A (- (* -1/2 (/ (pow B 2) (pow A 2))) 2)) |
(*.f64 A (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) (*.f64 A A)) #s(literal -2 binary64))) |
(* A (- (* 1/8 (/ (pow B 4) (pow A 4))) (+ 2 (* 1/2 (/ (pow B 2) (pow A 2)))))) |
(*.f64 A (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 B #s(literal 4 binary64))) (pow.f64 A #s(literal 4 binary64))) (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/2 binary64) (*.f64 A A)) #s(literal 2 binary64)))) |
(* A (- (* -1/16 (/ (pow B 6) (pow A 6))) (+ 2 (+ (* -1/8 (/ (pow B 4) (pow A 4))) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(*.f64 A (-.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 B #s(literal 6 binary64))) (pow.f64 A #s(literal 6 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 B #s(literal 4 binary64)) (pow.f64 A #s(literal 4 binary64))) (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/2 binary64) (*.f64 A A)) #s(literal 2 binary64))))) |
(* 1/2 (/ (pow B 2) A)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 B B) A)) |
(* -1 (/ (- (* 1/8 (/ (pow B 4) (pow A 2))) (* 1/2 (pow B 2))) A)) |
(neg.f64 (/.f64 (fma.f64 (*.f64 B B) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 B #s(literal 4 binary64))) (*.f64 A A))) A)) |
(* -1 (/ (- (* -1/16 (/ (pow B 6) (pow A 4))) (+ (* -1/8 (/ (pow B 4) (pow A 2))) (* 1/2 (pow B 2)))) A)) |
(neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 B #s(literal 6 binary64))) (pow.f64 A #s(literal 4 binary64))) (fma.f64 B (*.f64 B #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 B #s(literal 4 binary64))) (*.f64 A A)))) A)) |
(* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (pow B 8)) (* 1/16 (pow B 8))) (pow A 6))) (+ (* -1/8 (/ (pow B 4) (pow A 2))) (+ (* 1/16 (/ (pow B 6) (pow A 4))) (* 1/2 (pow B 2))))) A)) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 B #s(literal 8 binary64)) #s(literal 5/64 binary64))) (pow.f64 A #s(literal 6 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 B #s(literal 6 binary64)) (pow.f64 A #s(literal 4 binary64))) (fma.f64 B (*.f64 B #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 B #s(literal 4 binary64))) (*.f64 A A))))) (neg.f64 A)) |
(* -2 A) |
(*.f64 A #s(literal -2 binary64)) |
(- (* -1/2 (/ (pow B 2) A)) (* 2 A)) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) A) (*.f64 A #s(literal -2 binary64))) |
(- (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow A 3))) (* 1/2 (/ 1 A)))) (* 2 A)) |
(fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/8 binary64) (*.f64 A (*.f64 A A))) (/.f64 #s(literal -1/2 binary64) A)) (*.f64 A #s(literal -2 binary64))) |
(- (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow A 5))) (* 1/8 (/ 1 (pow A 3))))) (* 1/2 (/ 1 A)))) (* 2 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)) (*.f64 A #s(literal -2 binary64))) |
(* -1 B) |
(neg.f64 B) |
(* B (- (* -1 (/ A B)) 1)) |
(fma.f64 B (/.f64 A (neg.f64 B)) (neg.f64 B)) |
(* B (- (* -1/2 (/ (pow A 2) (pow B 2))) (+ 1 (/ A B)))) |
(*.f64 B (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 A A) (*.f64 B B)) #s(literal -1 binary64)) (/.f64 A B))) |
(* B (- (* 1/8 (/ (pow A 4) (pow B 4))) (+ 1 (+ (* 1/2 (/ (pow A 2) (pow B 2))) (/ A B))))) |
(*.f64 B (-.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 A #s(literal 4 binary64)) (pow.f64 B #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 (*.f64 A A) (/.f64 #s(literal 1/2 binary64) (*.f64 B B)) (/.f64 A B)))) |
B |
(* -1 (* B (- (/ A B) 1))) |
(neg.f64 (fma.f64 B (/.f64 A B) (neg.f64 B))) |
(* -1 (* B (- (* -1 (/ (- (* 1/2 (/ (pow A 2) B)) A) B)) 1))) |
(neg.f64 (fma.f64 B (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 A A) B)) A) B)) (neg.f64 B))) |
(* -1 (* B (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow A 4) (pow B 2))) (* 1/2 (pow A 2))) B)) A) B)) 1))) |
(neg.f64 (fma.f64 B (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 A A) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 A #s(literal 4 binary64))) (*.f64 B B))) B)) A) (neg.f64 B)) (neg.f64 B))) |
Compiled 37 291 to 4 402 computations (88.2% saved)
44 alts after pruning (35 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 507 | 15 | 1 522 |
| Fresh | 6 | 20 | 26 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 5 | 6 |
| Total | 1 515 | 44 | 1 559 |
| Status | Accuracy | Program |
|---|---|---|
| 30.6% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (fma.f64 A (fma.f64 #s(literal -1/2 binary64) (/.f64 A B) #s(literal -1 binary64)) (neg.f64 B)) B))) (PI.f64)) | |
| 26.7% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (/.f64 (-.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) (fma.f64 (-.f64 C A) (-.f64 C A) (fma.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) B))) (PI.f64)) | |
| 25.5% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) (-.f64 C A)) (/.f64 #s(literal 1 binary64) B)) B) (*.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) (*.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) B)))) (PI.f64)) | |
| ✓ | 50.1% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) B))) (PI.f64)) |
| 41.2% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (neg.f64 A) B) B))) (PI.f64)) | |
| 23.2% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (+.f64 C C) B))) (PI.f64)) | |
| 22.0% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) | |
| 28.3% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (PI.f64)) | |
| 31.5% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 A C) B))))) (PI.f64)) | |
| 33.1% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 A A) B) A) B)))) (PI.f64)) | |
| 45.1% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B)))) (PI.f64)) | |
| 57.8% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) (*.f64 (/.f64 #s(literal 1 binary64) B) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))))) (PI.f64)) | |
| 56.5% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) | |
| ✓ | 23.3% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 1 binary64))) (PI.f64)) |
| ✓ | 10.9% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 0 binary64))) (PI.f64)) |
| 59.2% | (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (*.f64 (PI.f64) #s(literal 1/180 binary64))) | |
| 22.0% | (/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))) | |
| 50.1% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/180 binary64)) (atan.f64 (/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) B)))) | |
| 22.0% | (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))))) | |
| 28.3% | (*.f64 (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) | |
| 28.1% | (*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))) #s(literal 180 binary64)) | |
| 28.1% | (*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (cbrt.f64 (PI.f64))) (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) | |
| ✓ | 28.3% | (*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) #s(literal 180 binary64)) |
| 81.0% | (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B))) | |
| 46.8% | (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B))) | |
| 28.3% | (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) | |
| 27.0% | (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 A #s(literal -2 binary64)) B))) | |
| 39.2% | (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (-.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)))) | |
| 52.2% | (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) | |
| 28.1% | (*.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))) | |
| ✓ | 28.3% | (*.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (/.f64 #s(literal 1 binary64) (PI.f64))) |
| 56.5% | (*.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (/.f64 #s(literal 1 binary64) (PI.f64))) | |
| 17.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C A)) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C A))) (*.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C A)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))))) (PI.f64))) | |
| ✓ | 21.5% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (*.f64 C B))) (PI.f64))) |
| ✓ | 22.0% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
| 23.0% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) | |
| 26.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 A (neg.f64 B))) (PI.f64))) | |
| 45.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (PI.f64))) | |
| 41.6% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) | |
| 26.6% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (-.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (fma.f64 (-.f64 C A) (-.f64 C A) (fma.f64 (-.f64 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))))))) (PI.f64))) | |
| ✓ | 81.0% | (*.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))) |
| ✓ | 19.6% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
| 22.0% | (*.f64 #s(literal 180 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))))) | |
| 22.0% | (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))) |
Compiled 2 445 to 967 computations (60.4% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 0 binary64))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 1 binary64))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 A (neg.f64 B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B)))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (+.f64 C C) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 #s(literal 2 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal -2 binary64) A) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 A #s(literal -2 binary64)) B))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) #s(literal 180 binary64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (neg.f64 A) B) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 180 binary64))) |
(*.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (/.f64 #s(literal 1 binary64) (PI.f64))) |
(*.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (/.f64 #s(literal 1 binary64) (PI.f64))) |
(/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (*.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 A C) B))))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 A A) B) A) B)))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (fma.f64 A (fma.f64 #s(literal -1/2 binary64) (/.f64 A B) #s(literal -1 binary64)) (neg.f64 B)) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.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) (/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) A))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64))) (PI.f64))) |
(*.f64 (/.f64 #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 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (*.f64 (PI.f64) #s(literal 1/180 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))) (PI.f64)) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (-.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)))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))))))) (PI.f64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/180 binary64)) (atan.f64 (/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) B)))) |
(/.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 180 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)))) |
(*.f64 (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (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 (*.f64 #s(literal 180 binary64) (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 (/.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)))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) (*.f64 (/.f64 #s(literal 1 binary64) B) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))))) (PI.f64)) |
(*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))) #s(literal 180 binary64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C A)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))))) (PI.f64))) |
(*.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) (-.f64 C A)) (/.f64 #s(literal 1 binary64) B)) B) (*.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) (*.f64 (fma.f64 A (+.f64 A C) (*.f64 C C)) 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 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 C A) (-.f64 C A)) (/.f64 B (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) (*.f64 (*.f64 B (+.f64 C A)) #s(literal 1 binary64))) (*.f64 (*.f64 B (+.f64 C A)) (/.f64 B (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) (*.f64 B (fma.f64 (-.f64 C A) (-.f64 C A) (fma.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (/.f64 (-.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) (fma.f64 (-.f64 C A) (-.f64 C A) (fma.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (-.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (fma.f64 (-.f64 C A) (-.f64 C A) (fma.f64 (-.f64 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))))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (+.f64 (-.f64 C A) (sqrt.f64 (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)))) (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)))) (+.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 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C A)) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C A))) (*.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C A)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))))) (PI.f64))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (cbrt.f64 (PI.f64))) (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 2/3 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 |
|---|
(/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B))) |
7 calls:
| 46.0ms | (*.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)))))) |
| 31.0ms | (*.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))) |
| 23.0ms | A |
| 22.0ms | (/.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)) |
| 22.0ms | C |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.4% | 2 | A |
| 81.0% | 1 | B |
| 84.0% | 2 | C |
| 85.8% | 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))) |
| 85.8% | 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)) |
| 85.8% | 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))))))) |
| 85.8% | 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(literal -1 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 0 binary64))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 1 binary64))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 A (neg.f64 B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B)))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (+.f64 C C) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 #s(literal 2 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal -2 binary64) A) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 A #s(literal -2 binary64)) B))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) #s(literal 180 binary64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (neg.f64 A) B) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 180 binary64))) |
(*.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (/.f64 #s(literal 1 binary64) (PI.f64))) |
(*.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (/.f64 #s(literal 1 binary64) (PI.f64))) |
(/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (*.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 A C) B))))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 A A) B) A) B)))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (fma.f64 A (fma.f64 #s(literal -1/2 binary64) (/.f64 A B) #s(literal -1 binary64)) (neg.f64 B)) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.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) (/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) A))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64))) (PI.f64))) |
(*.f64 (/.f64 #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 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (*.f64 (PI.f64) #s(literal 1/180 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))) (PI.f64)) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (-.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)))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))))))) (PI.f64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/180 binary64)) (atan.f64 (/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) B)))) |
(/.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 180 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)))) |
(*.f64 (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (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 (*.f64 #s(literal 180 binary64) (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 (/.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)))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) (*.f64 (/.f64 #s(literal 1 binary64) B) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))))) (PI.f64)) |
(*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))) #s(literal 180 binary64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C A)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))))) (PI.f64))) |
(*.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (-.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)))) |
7 calls:
| 41.0ms | B |
| 34.0ms | C |
| 18.0ms | A |
| 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))))))) |
| 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))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.6% | 3 | B |
| 70.9% | 3 | C |
| 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)))))) |
| 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))))))) |
| 68.8% | 3 | A |
Compiled 105 to 74 computations (29.5% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 0 binary64))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 1 binary64))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 A (neg.f64 B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B)))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (+.f64 C C) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 #s(literal 2 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal -2 binary64) A) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 A #s(literal -2 binary64)) B))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) #s(literal 180 binary64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (neg.f64 A) B) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 180 binary64))) |
(*.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (/.f64 #s(literal 1 binary64) (PI.f64))) |
(*.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (/.f64 #s(literal 1 binary64) (PI.f64))) |
(/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (*.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 A C) B))))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 A A) B) A) B)))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (fma.f64 A (fma.f64 #s(literal -1/2 binary64) (/.f64 A B) #s(literal -1 binary64)) (neg.f64 B)) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.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) (/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) A))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64))) (PI.f64))) |
(*.f64 (/.f64 #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 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (*.f64 (PI.f64) #s(literal 1/180 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))) (PI.f64)) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) |
(*.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (/.f64 #s(literal 1 binary64) (PI.f64))) |
4 calls:
| 33.0ms | (/.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 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 11.0ms | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
| 11.0ms | (*.f64 #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 |
|---|---|---|
| 77.0% | 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))) |
| 77.0% | 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)) |
| 77.0% | 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))))))) |
| 77.0% | 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(literal -1 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 0 binary64))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 1 binary64))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 A (neg.f64 B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B)))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (+.f64 C C) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 #s(literal 2 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal -2 binary64) A) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 A #s(literal -2 binary64)) B))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) #s(literal 180 binary64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (neg.f64 A) B) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 180 binary64))) |
(*.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (/.f64 #s(literal 1 binary64) (PI.f64))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) |
4 calls:
| 17.0ms | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
| 11.0ms | (*.f64 #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))) |
| 8.0ms | (*.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 | (/.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 |
|---|---|---|
| 77.0% | 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))) |
| 77.0% | 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)) |
| 77.0% | 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))))))) |
| 77.0% | 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(literal -1 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 0 binary64))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 1 binary64))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 A (neg.f64 B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B)))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (+.f64 C C) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 #s(literal 2 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal -2 binary64) A) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 A #s(literal -2 binary64)) B))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) #s(literal 180 binary64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (neg.f64 A) B) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))) |
4 calls:
| 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)))))) |
| 6.0ms | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
| 6.0ms | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| 6.0ms | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.0% | 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)))))) |
| 77.0% | 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))) |
| 77.0% | 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)) |
| 77.0% | 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))))))) |
Compiled 93 to 65 computations (30.1% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 0 binary64))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 1 binary64))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 A (neg.f64 B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B)))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (+.f64 C C) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 #s(literal 2 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal -2 binary64) A) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 A #s(literal -2 binary64)) B))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) #s(literal 180 binary64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (neg.f64 A) B) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (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 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))) |
4 calls:
| 12.0ms | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| 6.0ms | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 6.0ms | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
| 6.0ms | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.0% | 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)))))) |
| 77.0% | 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))) |
| 77.0% | 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)) |
| 77.0% | 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))))))) |
Compiled 93 to 65 computations (30.1% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 0 binary64))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 1 binary64))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 A (neg.f64 B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B)))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (+.f64 C C) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 #s(literal 2 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal -2 binary64) A) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 A #s(literal -2 binary64)) B))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) #s(literal 180 binary64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (neg.f64 A) B) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (neg.f64 A) B) B))) (PI.f64)) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))) |
6 calls:
| 21.0ms | (*.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 | B |
| 7.0ms | C |
| 6.0ms | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| 6.0ms | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.5% | 2 | C |
| 66.2% | 2 | B |
| 70.8% | 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))) |
| 70.8% | 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)) |
| 70.8% | 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))))))) |
| 70.8% | 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(literal -1 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 0 binary64))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 1 binary64))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 A (neg.f64 B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B)))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (+.f64 C C) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 #s(literal 2 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal -2 binary64) A) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 A #s(literal -2 binary64)) B))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) #s(literal 180 binary64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (neg.f64 A) B) B))) (PI.f64)) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (neg.f64 A) B) B))) (PI.f64)) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (PI.f64))) |
7 calls:
| 8.0ms | B |
| 6.0ms | C |
| 6.0ms | A |
| 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)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.2% | 3 | B |
| 65.9% | 3 | C |
| 62.0% | 3 | A |
| 66.3% | 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)))))) |
| 66.3% | 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))) |
| 66.3% | 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)) |
| 66.3% | 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))))))) |
Compiled 105 to 74 computations (29.5% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 0 binary64))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 1 binary64))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 A (neg.f64 B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B)))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (+.f64 C C) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 #s(literal 2 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal -2 binary64) A) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 A #s(literal -2 binary64)) B))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) #s(literal 180 binary64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B)))) (PI.f64)) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) |
5 calls:
| 8.0ms | C |
| 6.0ms | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| 5.0ms | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| 5.0ms | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 5.0ms | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.9% | 3 | C |
| 59.0% | 4 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 57.4% | 3 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| 57.4% | 3 | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| 57.4% | 3 | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
Compiled 97 to 68 computations (29.9% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 0 binary64))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 1 binary64))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 A (neg.f64 B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B)))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (+.f64 C C) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 #s(literal 2 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal -2 binary64) A) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 A #s(literal -2 binary64)) B))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (PI.f64))) |
3 calls:
| 6.0ms | A |
| 5.0ms | B |
| 5.0ms | C |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.0% | 3 | A |
| 55.0% | 2 | B |
| 58.5% | 3 | C |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 0 binary64))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 1 binary64))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 A (neg.f64 B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B)))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (+.f64 C C) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 #s(literal 2 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal -2 binary64) A) B)) (PI.f64))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
2 calls:
| 5.0ms | C |
| 4.0ms | A |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.5% | 3 | C |
| 56.1% | 3 | A |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 0 binary64))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 1 binary64))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 A (neg.f64 B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 A (neg.f64 B))) (PI.f64))) |
7 calls:
| 7.0ms | C |
| 5.0ms | B |
| 3.0ms | A |
| 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 (/.f64 #s(literal 1 binary64) 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 |
|---|---|---|
| 53.1% | 3 | A |
| 51.4% | 2 | B |
| 47.2% | 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))) |
| 47.2% | 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)) |
| 47.2% | 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))))))) |
| 47.2% | 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)))))) |
| 45.4% | 2 | C |
Compiled 105 to 74 computations (29.5% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 0 binary64))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 1 binary64))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 A (neg.f64 B))) (PI.f64))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 A (neg.f64 B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
2 calls:
| 3.0ms | A |
| 3.0ms | B |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.9% | 3 | B |
| 44.6% | 4 | A |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 0 binary64))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 1 binary64))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
6 calls:
| 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))) |
| 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 |
|---|---|---|
| 42.3% | 3 | C |
| 40.5% | 2 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| 40.5% | 2 | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| 40.5% | 2 | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
| 40.5% | 2 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 47.0% | 3 | B |
Compiled 101 to 71 computations (29.7% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 0 binary64))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 1 binary64))) (PI.f64)) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
1 calls:
| 2.0ms | B |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.1% | 3 | B |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
7 calls:
| 9.0ms | C |
| 2.0ms | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| 2.0ms | B |
| 2.0ms | A |
| 2.0ms | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 24.4% | 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))) |
| 24.4% | 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)) |
| 24.4% | 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))))))) |
| 24.4% | 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)))))) |
| 23.5% | 2 | C |
| 21.8% | 2 | A |
| 25.3% | 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(literal -1 binary64)) (PI.f64))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
7 calls:
| 1.0ms | B |
| 1.0ms | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| 1.0ms | A |
| 1.0ms | C |
| 1.0ms | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 19.6% | 1 | A |
| 19.6% | 1 | C |
| 19.6% | 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))) |
| 19.6% | 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)) |
| 19.6% | 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))))))) |
| 19.6% | 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)))))) |
| 19.6% | 1 | B |
Compiled 105 to 74 computations (29.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 40.0ms | -7.415489038546792e+179 | -4.4833096936080387e+176 |
| 17.0ms | 55× | 2 | valid |
| 8.0ms | 37× | 1 | valid |
| 4.0ms | 33× | 0 | valid |
| 1.0ms | 3× | 3 | valid |
Compiled 301 to 232 computations (22.9% saved)
adjust: 4.0ms (16.3% of total)ival-pow2: 4.0ms (16.3% of total)ival-sub: 3.0ms (12.2% of total)ival-div: 3.0ms (12.2% of total)ival-mult: 3.0ms (12.2% of total)ival-sqrt: 2.0ms (8.2% of total)ival-atan: 2.0ms (8.2% of total)ival-add: 1.0ms (4.1% of total)ival-pi: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.0 | 0.6996955027711694 |
| 0.0ms | -5.4243796659789405e-39 | -0.0 |
Compiled 29 to 25 computations (13.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.0 | 0.841767991212252 |
| 0.0ms | -5.4243796659789405e-39 | -0.0 |
Compiled 29 to 25 computations (13.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.0 | 0.6996955027711694 |
| 0.0ms | -5.4243796659789405e-39 | -0.0 |
Compiled 29 to 25 computations (13.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.0 | 0.6996955027711694 |
| 0.0ms | -5.4243796659789405e-39 | -0.0 |
Compiled 29 to 25 computations (13.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.0 | 0.6996955027711694 |
| 0.0ms | -5.4243796659789405e-39 | -0.0 |
Compiled 29 to 25 computations (13.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.0 | 0.6996955027711694 |
| 0.0ms | -5.4243796659789405e-39 | -0.0 |
Compiled 29 to 25 computations (13.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.0 | 0.6996955027711694 |
| 0.0ms | -5.4243796659789405e-39 | -0.0 |
Compiled 29 to 25 computations (13.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 28.0ms | 2.1374657066780785e-87 | 1.8565651516363031e-84 |
| 21.0ms | -7.7576723755882175e-62 | -6.628665356348489e-64 |
| 22.0ms | 181× | 0 | valid |
| 10.0ms | 32× | 1 | valid |
| 8.0ms | 27× | 2 | valid |
Compiled 449 to 384 computations (14.5% saved)
ival-sub: 7.0ms (23.6% of total)ival-div: 5.0ms (16.8% of total)ival-pow2: 5.0ms (16.8% of total)ival-mult: 4.0ms (13.5% of total)adjust: 2.0ms (6.7% of total)ival-sqrt: 2.0ms (6.7% of total)ival-atan: 2.0ms (6.7% of total)ival-pi: 1.0ms (3.4% of total)ival-add: 1.0ms (3.4% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 1.6419211296231113e-116 | 1.656091601668736e-113 |
| 37.0ms | -4.926688101340525e+76 | -9.45124490767887e+73 |
| 21.0ms | 169× | 0 | valid |
| 19.0ms | 53× | 2 | valid |
| 7.0ms | 33× | 1 | valid |
| 0.0ms | 1× | 3 | valid |
Compiled 477 to 408 computations (14.5% saved)
ival-sub: 8.0ms (20.3% of total)ival-mult: 8.0ms (20.3% of total)ival-pow2: 6.0ms (15.2% of total)ival-div: 5.0ms (12.7% of total)adjust: 4.0ms (10.1% of total)ival-sqrt: 3.0ms (7.6% of total)ival-atan: 3.0ms (7.6% of total)ival-add: 2.0ms (5.1% of total)ival-pi: 1.0ms (2.5% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 31.0ms | 1.0622960898036937e+172 | 1.588588037595617e+173 |
| 23.0ms | -7.7576723755882175e-62 | -6.628665356348489e-64 |
| 22.0ms | 50× | 2 | valid |
| 18.0ms | 132× | 0 | valid |
| 5.0ms | 23× | 1 | valid |
| 1.0ms | 3× | 3 | valid |
Compiled 369 to 324 computations (12.2% saved)
ival-pow2: 8.0ms (23.4% of total)adjust: 7.0ms (20.5% of total)ival-sub: 4.0ms (11.7% of total)ival-div: 4.0ms (11.7% of total)ival-mult: 4.0ms (11.7% of total)ival-sqrt: 2.0ms (5.8% of total)ival-atan: 2.0ms (5.8% of total)ival-pi: 1.0ms (2.9% of total)ival-add: 1.0ms (2.9% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 2.937684182937299e+25 | 7.500904003572362e+25 |
| 39.0ms | -3.8473305057532507e+143 | -2.6762425605740658e+134 |
| 23.0ms | 60× | 2 | valid |
| 14.0ms | 135× | 0 | valid |
| 6.0ms | 28× | 1 | valid |
| 0.0ms | 1× | 3 | valid |
Compiled 380 to 337 computations (11.3% saved)
ival-pow2: 6.0ms (19.3% of total)ival-sub: 5.0ms (16% of total)ival-div: 5.0ms (16% of total)adjust: 4.0ms (12.8% of total)ival-mult: 4.0ms (12.8% of total)ival-sqrt: 3.0ms (9.6% of total)ival-add: 2.0ms (6.4% of total)ival-atan: 2.0ms (6.4% of total)ival-pi: 1.0ms (3.2% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 32.0ms | 1.0241210087688948e-82 | 5.210702144632964e-74 |
| 29.0ms | -3.038311873562008e+37 | -9.426435844948224e+33 |
| 25.0ms | 192× | 0 | valid |
| 14.0ms | 45× | 2 | valid |
| 7.0ms | 34× | 1 | valid |
| 0.0ms | 1× | 3 | valid |
Compiled 420 to 381 computations (9.3% saved)
ival-pow2: 9.0ms (23.8% of total)ival-sub: 5.0ms (13.2% of total)ival-div: 5.0ms (13.2% of total)ival-atan: 5.0ms (13.2% of total)adjust: 4.0ms (10.6% of total)ival-mult: 4.0ms (10.6% of total)ival-sqrt: 3.0ms (7.9% of total)ival-add: 2.0ms (5.3% of total)ival-pi: 1.0ms (2.6% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 43.0ms | 1.7728314803850552e-106 | 2.2856911969034155e-104 |
| 33.0ms | -3.684849348286261e-118 | -6.380812687295983e-122 |
| 35.0ms | 153× | 0 | valid |
| 21.0ms | 67× | 2 | valid |
| 10.0ms | 17× | 1 | valid |
| 1.0ms | 3× | 3 | valid |
Compiled 359 to 324 computations (9.7% saved)
ival-pow2: 31.0ms (52.8% of total)ival-sub: 5.0ms (8.5% of total)ival-div: 5.0ms (8.5% of total)ival-mult: 5.0ms (8.5% of total)adjust: 4.0ms (6.8% of total)ival-sqrt: 3.0ms (5.1% of total)ival-add: 2.0ms (3.4% of total)ival-atan: 2.0ms (3.4% of total)ival-pi: 1.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 5.210702144632964e-74 | 1.2411109331614679e-71 |
| 98.0ms | -3.069408795588069e-145 | -1.3998143612576985e-146 |
| 95.0ms | 75× | 2 | valid |
| 14.0ms | 134× | 0 | valid |
| 3.0ms | 15× | 1 | valid |
Compiled 309 to 304 computations (1.6% saved)
ival-sub: 77.0ms (73.6% of total)ival-pow2: 6.0ms (5.7% of total)ival-div: 5.0ms (4.8% of total)adjust: 4.0ms (3.8% of total)ival-mult: 4.0ms (3.8% of total)ival-sqrt: 3.0ms (2.9% of total)ival-add: 2.0ms (1.9% of total)ival-atan: 2.0ms (1.9% of total)ival-pi: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 27.0ms | 5.210702144632964e-74 | 1.2411109331614679e-71 |
| 9.0ms | 27× | 2 | valid |
| 8.0ms | 73× | 0 | valid |
| 2.0ms | 10× | 1 | valid |
| 1.0ms | 2× | 3 | valid |
Compiled 169 to 164 computations (3% saved)
ival-pow2: 3.0ms (19.6% of total)ival-sub: 2.0ms (13.1% of total)ival-div: 2.0ms (13.1% of total)adjust: 2.0ms (13.1% of total)ival-mult: 2.0ms (13.1% of total)ival-sqrt: 1.0ms (6.5% of total)ival-add: 1.0ms (6.5% of total)ival-atan: 1.0ms (6.5% of total)ival-assert: 0.0ms (0% of total)ival-pi: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
| 64× | *-commutative_binary64 |
| 44× | +-commutative_binary64 |
| 34× | sub-neg_binary64 |
| 20× | neg-sub0_binary64 |
| 20× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 156 | 831 |
| 1 | 201 | 831 |
| 2 | 228 | 831 |
| 3 | 249 | 831 |
| 4 | 261 | 831 |
| 5 | 265 | 831 |
| 6 | 266 | 831 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 A #s(literal -600000000000000004469388301244591934865196963149892323415785524787583911480689696158231925824344235045079361561670787770235260299685863909854341544669743302257923338416263528448 binary64)) (/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)))) |
(if (<=.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))))))) #s(literal -1915619426082361/383123885216472214589586756787577295904684780545900544 binary64)) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (if (<=.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))))))) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (-.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)))))) |
(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 -1915619426082361/383123885216472214589586756787577295904684780545900544 binary64)) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (*.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (/.f64 #s(literal 1 binary64) (PI.f64))))) |
(if (<=.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))))))) #s(literal -1915619426082361/383123885216472214589586756787577295904684780545900544 binary64)) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (if (<=.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))))))) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)))) |
(if (<=.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))))))) #s(literal -1915619426082361/383123885216472214589586756787577295904684780545900544 binary64)) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (if (<=.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))))))) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))))) |
(if (<=.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))))))) #s(literal -1915619426082361/383123885216472214589586756787577295904684780545900544 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (PI.f64))) (if (<=.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))))))) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))))) |
(if (<=.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))))))) #s(literal -1915619426082361/383123885216472214589586756787577295904684780545900544 binary64)) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (neg.f64 A) B) B))) (PI.f64)) (if (<=.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))))))) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))))) |
(if (<=.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))))))) #s(literal -1915619426082361/383123885216472214589586756787577295904684780545900544 binary64)) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (neg.f64 A) B) B))) (PI.f64)) (if (<=.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))))))) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (PI.f64))))) |
(if (<=.f64 C #s(literal -5558020283391177/463168356949264781694283940034751631413079938662562256157830336031652518559744 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) (if (<=.f64 C #s(literal 1011603460212143/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 binary64)) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B)))) (PI.f64)) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))))) |
(if (<=.f64 A #s(literal -960000000000000033929162806256318876795987088767058335715335158870682107904 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) (if (<=.f64 A #s(literal 3535153860004039/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (PI.f64))))) |
(if (<=.f64 C #s(literal -1736881338559743/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) (if (<=.f64 C #s(literal 119999999999999996192864222591476854153433725419040389497047811419381237942809362381386413174153982515487030387370078305594538019051081198149730926727990977600890093927661568 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))))) |
(if (<=.f64 A #s(literal -139999999999999998992064133147381531945939947172447219626852168139119841432008535449199074503961625178148426141019525473437310716591530437509120 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) (if (<=.f64 A #s(literal 60000000000000001140850688 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 A (neg.f64 B))) (PI.f64))))) |
(if (<=.f64 B #s(literal -9500000000000000347655822832041984 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) (if (<=.f64 B #s(literal 6365737426045269/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 A (neg.f64 B))) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))))) |
(if (<=.f64 B #s(literal -7268387242956069/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) (if (<=.f64 B #s(literal 6972074670834653/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))))) |
(if (<=.f64 B #s(literal -1511353852854355/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) (if (<=.f64 B #s(literal 6874996420128891/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))))) |
(if (<=.f64 B #s(literal 6874996420128891/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64)))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
| Outputs |
|---|
(if (<=.f64 A #s(literal -600000000000000004469388301244591934865196963149892323415785524787583911480689696158231925824344235045079361561670787770235260299685863909854341544669743302257923338416263528448 binary64)) (/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 A C) B)) B)))) |
(if (<=.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))))))) #s(literal -1915619426082361/383123885216472214589586756787577295904684780545900544 binary64)) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (if (<=.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))))))) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (-.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)))))) |
(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 -1915619426082361/383123885216472214589586756787577295904684780545900544 binary64)) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (*.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (/.f64 #s(literal 1 binary64) (PI.f64))))) |
(if (<=.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))))))) #s(literal -1915619426082361/383123885216472214589586756787577295904684780545900544 binary64)) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (if (<=.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))))))) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)))) |
(if (<=.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))))))) #s(literal -1915619426082361/383123885216472214589586756787577295904684780545900544 binary64)) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) (if (<=.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))))))) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))))) |
(if (<=.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))))))) #s(literal -1915619426082361/383123885216472214589586756787577295904684780545900544 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (PI.f64))) (if (<=.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))))))) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))))) |
(if (<=.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))))))) #s(literal -1915619426082361/383123885216472214589586756787577295904684780545900544 binary64)) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (neg.f64 A) B) B))) (PI.f64)) (if (<=.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))))))) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))))) |
(if (<=.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))))))) #s(literal -1915619426082361/383123885216472214589586756787577295904684780545900544 binary64)) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (neg.f64 A) B) B))) (PI.f64)) (if (<=.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))))))) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (PI.f64))))) |
(if (<=.f64 C #s(literal -5558020283391177/463168356949264781694283940034751631413079938662562256157830336031652518559744 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) (if (<=.f64 C #s(literal 1011603460212143/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 binary64)) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B)))) (PI.f64)) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))))) |
(if (<=.f64 A #s(literal -960000000000000033929162806256318876795987088767058335715335158870682107904 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) (if (<=.f64 A #s(literal 3535153860004039/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (PI.f64))))) |
(if (<=.f64 C #s(literal -1736881338559743/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) (if (<=.f64 C #s(literal 119999999999999996192864222591476854153433725419040389497047811419381237942809362381386413174153982515487030387370078305594538019051081198149730926727990977600890093927661568 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))))) |
(if (<=.f64 A #s(literal -139999999999999998992064133147381531945939947172447219626852168139119841432008535449199074503961625178148426141019525473437310716591530437509120 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) (if (<=.f64 A #s(literal 60000000000000001140850688 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 A (neg.f64 B))) (PI.f64))))) |
(if (<=.f64 B #s(literal -9500000000000000347655822832041984 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) (if (<=.f64 B #s(literal 6365737426045269/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 A (neg.f64 B))) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))))) |
(if (<=.f64 B #s(literal -7268387242956069/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) (if (<=.f64 B #s(literal 6972074670834653/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))))) |
(if (<=.f64 B #s(literal -1511353852854355/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) (if (<=.f64 B #s(literal 6874996420128891/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))))) |
(if (<=.f64 B #s(literal 6874996420128891/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64)))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
| 9 012× | lower-fma.f64 |
| 9 012× | lower-fma.f32 |
| 8 978× | lower-fma.f64 |
| 8 978× | lower-fma.f32 |
| 8 958× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 723 | 10674 |
| 1 | 2212 | 10288 |
| 2 | 6807 | 10162 |
| 0 | 8606 | 8690 |
| 0 | 653 | 4303 |
| 1 | 2037 | 4108 |
| 2 | 6286 | 4068 |
| 0 | 8196 | 3537 |
| 0 | 40 | 253 |
| 0 | 75 | 245 |
| 1 | 250 | 245 |
| 2 | 1727 | 245 |
| 0 | 8688 | 245 |
| 0 | 836 | 7573 |
| 1 | 2519 | 7386 |
| 2 | 7550 | 7385 |
| 0 | 8101 | 6301 |
| 0 | 962 | 14149 |
| 1 | 3014 | 13607 |
| 0 | 8346 | 11749 |
| 0 | 19 | 82 |
| 0 | 32 | 82 |
| 1 | 138 | 78 |
| 2 | 1029 | 78 |
| 0 | 8555 | 56 |
| 0 | 36 | 222 |
| 0 | 68 | 215 |
| 1 | 242 | 215 |
| 2 | 1741 | 215 |
| 0 | 8508 | 166 |
| 0 | 40 | 266 |
| 0 | 75 | 260 |
| 1 | 263 | 246 |
| 2 | 1936 | 230 |
| 0 | 8238 | 200 |
| 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× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 985 to 1 105 computations (44.3% saved)
Compiled 1 720 to 350 computations (79.7% saved)
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