
Time bar (total: 12.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 4 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 7 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 8 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 9 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 10 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 11 |
| 93.8% | 93.6% | 6.2% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 25 to 20 computations (20% saved)
| 951.0ms | 5 648× | 0 | valid |
| 700.0ms | 1 573× | 2 | valid |
| 249.0ms | 1 035× | 1 | valid |
ival-mult: 297.0ms (18.1% of total)ival-pi: 283.0ms (17.3% of total)ival-pow2: 241.0ms (14.7% of total)ival-div: 208.0ms (12.7% of total)ival-sub: 171.0ms (10.4% of total)adjust: 143.0ms (8.7% of total)ival-sqrt: 95.0ms (5.8% of total)ival-atan: 95.0ms (5.8% of total)ival-add: 91.0ms (5.6% of total)exact: 7.0ms (0.4% of total)ival-true: 6.0ms (0.4% 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 |
|---|---|---|---|---|---|
| 140 | 0 | - | 0 | - | (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) |
| 42 | 0 | - | 0 | - | (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))) |
| 25 | 1 | (8.962446238705063e-306 3.4564608915492876e-280 1.444557227775072e+43) | 2 | (-4.745886704721046e-46 1.303190445300706e-143 6.065834377845021e+34) | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 3 | 0 | - | 3 | (8.962446238705063e-306 3.4564608915492876e-280 1.444557227775072e+43) | (*.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 | 138 | 0 |
| ↳ | (pow.f64 B #s(literal 2 binary64)) | overflow | 72 | |
| ↳ | (pow.f64 (-.f64 A C) #s(literal 2 binary64)) | overflow | 101 | |
| ↳ | (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) | overflow | 138 | |
-.f64 | (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))) | cancellation | 42 | 0 |
*.f64 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) | n*u | 24 | 0 |
sqrt.f64 | (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) | uflow-rescue | 2 | 0 |
| ↳ | (pow.f64 B #s(literal 2 binary64)) | underflow | 61 | |
| ↳ | (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 | 2 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 136 | 0 |
| - | 42 | 78 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 136 | 0 | 0 |
| - | 42 | 0 | 78 |
| number | freq |
|---|---|
| 0 | 78 |
| 1 | 150 |
| 2 | 28 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 77.0ms | 108× | 2 | valid |
| 66.0ms | 346× | 0 | valid |
| 15.0ms | 58× | 1 | valid |
Compiled 332 to 80 computations (75.9% saved)
ival-div: 14.0ms (19.5% of total)ival-pow2: 11.0ms (15.3% of total)ival-sub: 10.0ms (13.9% of total)adjust: 9.0ms (12.5% of total)ival-mult: 9.0ms (12.5% of total)ival-sqrt: 6.0ms (8.3% of total)ival-atan: 6.0ms (8.3% of total)ival-add: 4.0ms (5.6% of total)ival-pi: 2.0ms (2.8% of total)exact: 1.0ms (1.4% 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 |
|---|---|---|
| ▶ | 53.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
Compiled 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 | 99.8% | (*.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 | 91.6% | (*.f64 (/.f64 #s(literal 1 binary64) 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 | 85.8% | (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))) |
| ✓ | accuracy | 49.3% | (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) |
| 25.0ms | 173× | 0 | valid |
| 19.0ms | 54× | 2 | valid |
| 10.0ms | 29× | 1 | valid |
Compiled 140 to 21 computations (85% saved)
ival-sub: 8.0ms (21.5% of total)ival-pow2: 6.0ms (16.1% of total)ival-div: 5.0ms (13.4% of total)adjust: 4.0ms (10.7% of total)ival-mult: 4.0ms (10.7% of total)ival-sqrt: 3.0ms (8.1% of total)ival-atan: 3.0ms (8.1% of total)ival-add: 2.0ms (5.4% of total)ival-pi: 1.0ms (2.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<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 (/.f64 #s(literal 1 binary64) 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 #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 (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 (/ (- (* 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 (* 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)))> |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | A | @ | 0 | (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) |
| 1.0ms | C | @ | -inf | (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) |
| 1.0ms | A | @ | -inf | (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) |
| 1.0ms | A | @ | 0 | (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× | 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 | 65 |
| 0 | 32 | 65 |
| 1 | 138 | 61 |
| 2 | 1029 | 61 |
| 0 | 8559 | 41 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(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 (/.f64 #s(literal 1 binary64) 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 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 1/2 binary64) (log.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) |
(hypot.f64 (-.f64 A C) B) |
(hypot.f64 B (-.f64 A C)) |
(hypot.f64 B (-.f64 C A)) |
(hypot.f64 B (pow.f64 (-.f64 C A) #s(literal 1 binary64))) |
(hypot.f64 (-.f64 C A) B) |
(hypot.f64 (pow.f64 (-.f64 C A) #s(literal 1 binary64)) 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 #s(literal 1 binary64) (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 (-.f64 A C) (*.f64 (-.f64 A C) (-.f64 A C))) (*.f64 (*.f64 B B) (*.f64 (+.f64 B (-.f64 A C)) (-.f64 B (-.f64 A C)))))) (sqrt.f64 (fma.f64 (*.f64 B B) (*.f64 B (*.f64 B (*.f64 B B))) (*.f64 (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (-.f64 A C)))) (*.f64 (-.f64 A C) (-.f64 A C))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (+.f64 (-.f64 A C) B) (-.f64 (-.f64 A C) B))) (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 (sqrt.f64 (fma.f64 (*.f64 B B) (*.f64 B (*.f64 B (*.f64 B B))) (*.f64 (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (*.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 (-.f64 A C)) (-.f64 B (-.f64 A C))))))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 B B) (*.f64 B (*.f64 B (*.f64 B B))) (*.f64 (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (*.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 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 (-.f64 A C) B)) (-.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 (-.f64 A C) 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 (-.f64 A C) (*.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 (-.f64 A C)) (-.f64 B (-.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 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)) (*.f64 (+.f64 B (-.f64 A C)) (-.f64 B (-.f64 A C))))) (sqrt.f64 (*.f64 (+.f64 B (-.f64 A C)) (-.f64 B (-.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 (-.f64 A C) (*.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 (-.f64 A C)) (-.f64 B (-.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 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) #s(literal 1 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)) |
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(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 B)) (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) (sqrt.f64 B))) |
(*.f64 (/.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))))) (sqrt.f64 B)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 A C) (-.f64 A C) (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))))) (sqrt.f64 B))) |
(*.f64 (/.f64 (-.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) (sqrt.f64 B)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) (-.f64 C A))) (sqrt.f64 B))) |
(*.f64 (/.f64 (-.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) B)) |
(neg.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)) (PI.f64))) #s(literal 180 binary64))) |
(neg.f64 (*.f64 #s(literal 180 binary64) (neg.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))))) |
(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) (neg.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)))) |
(*.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 |
| 7 938× | lower-fma.f64 |
| 7 938× | lower-fma.f32 |
| 5 920× | lower-*.f64 |
| 5 920× | lower-*.f32 |
| 2 888× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 587 | 3505 |
| 1 | 1819 | 3332 |
| 2 | 5618 | 3296 |
| 0 | 8193 | 2824 |
| 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)))))))) |
(* -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))) |
(/ (- (* 2 C) (* 2 A)) B) |
(/ (- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
-1 |
(- (/ C B) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
1 |
(- (+ 1 (/ C B)) (/ A B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- A C) 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) B))) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(* -1 (/ (+ A (* -1 A)) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B) |
(- (+ (* -1 (/ (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* -1/2 (* (/ (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* A (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) B) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(* -2 (/ A B)) |
(* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
| 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))))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) (*.f64 C (neg.f64 A)) (sqrt.f64 (fma.f64 B B (*.f64 C C)))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* A (+ (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (* 1/2 (* (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))))) |
(fma.f64 A (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) A) (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 (*.f64 (*.f64 C A) (fma.f64 (neg.f64 C) (/.f64 C (fma.f64 B B (*.f64 C C))) #s(literal 1 binary64))) (*.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)))))) #s(literal 1/2 binary64))))) (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 B (*.f64 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 B (/.f64 B (*.f64 A A)) (/.f64 (*.f64 (*.f64 B B) C) (*.f64 A (*.f64 A A))))) (/.f64 C A)) A) |
(* -1 A) |
(neg.f64 A) |
(* -1 (* A (+ 1 (* -1 (/ C A))))) |
(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 (/.f64 (*.f64 B C) A) (*.f64 B B)) A) C) A) (neg.f64 A)) |
(sqrt (+ (pow A 2) (pow B 2))) |
(sqrt.f64 (fma.f64 B B (*.f64 A A))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) (*.f64 C (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)))))) (* 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) (fma.f64 (neg.f64 A) (/.f64 A (fma.f64 B B (*.f64 A A))) #s(literal 1 binary64)) (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) (fma.f64 (neg.f64 A) (/.f64 A (fma.f64 B B (*.f64 A A))) #s(literal 1 binary64)) (neg.f64 A)) (*.f64 (*.f64 C (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 C A) (fma.f64 (neg.f64 A) (/.f64 A (fma.f64 B B (*.f64 A A))) #s(literal 1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (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 (/.f64 A C) (neg.f64 C) C) |
(* C (+ 1 (+ (* -1 (/ A C)) (* 1/2 (/ (pow B 2) (pow C 2)))))) |
(fma.f64 C (-.f64 (/.f64 (*.f64 B (*.f64 B #s(literal 1/2 binary64))) (*.f64 C C)) (/.f64 A C)) C) |
(* C (+ 1 (+ (* -1 (/ A C)) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 3))) (* 1/2 (/ (pow B 2) (pow C 2))))))) |
(fma.f64 C (fma.f64 #s(literal 1/2 binary64) (fma.f64 B (/.f64 B (*.f64 C C)) (/.f64 (*.f64 (*.f64 B B) A) (*.f64 C (*.f64 C C)))) (/.f64 A (neg.f64 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) |
(fma.f64 (*.f64 B B) (/.f64 #s(literal 1/2 binary64) (-.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 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B)) (*.f64 B #s(literal 1/2 binary64)) 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))) (*.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 #s(literal 1/16 binary64) (/.f64 (pow.f64 (-.f64 A C) #s(literal 6 binary64)) (pow.f64 B #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 A C) #s(literal 4 binary64))) (*.f64 (*.f64 B B) (*.f64 B B))))) 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))))))) |
(*.f64 (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 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 #s(literal 1/16 binary64) (/.f64 (pow.f64 (-.f64 A C) #s(literal 6 binary64)) (pow.f64 B #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 A C) #s(literal 4 binary64))) (*.f64 (*.f64 B B) (*.f64 B B))))) B)) |
(* -1 (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(-.f64 (neg.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 (fma.f64 C (fma.f64 A (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 B B (*.f64 A A))))) A) |
(- (* C (- (+ 1 (* -1/2 (* (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(fma.f64 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) (fma.f64 (neg.f64 A) (/.f64 A (fma.f64 B B (*.f64 A A))) #s(literal 1 binary64)) A) #s(literal 1 binary64)) (-.f64 (neg.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))))) |
(-.f64 (fma.f64 C (fma.f64 C (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 C A) (fma.f64 (neg.f64 A) (/.f64 A (fma.f64 B B (*.f64 A A))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (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)))) (fma.f64 (neg.f64 A) (/.f64 A (fma.f64 B B (*.f64 A A))) #s(literal 1 binary64))))) (fma.f64 A (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 A A)))) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (fma.f64 B B (*.f64 A A))))) A) |
(* -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)))))) |
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B |
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-1 |
#s(literal -1 binary64) |
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1 |
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#s(literal 0 binary64) |
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(* -2 (/ A B)) |
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(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(*.f64 A (+.f64 (/.f64 C (*.f64 B A)) (fma.f64 B (/.f64 #s(literal -1/2 binary64) (*.f64 A A)) (+.f64 (/.f64 C (*.f64 B A)) (/.f64 #s(literal -2 binary64) B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(*.f64 A (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 B (*.f64 A A)) (/.f64 (*.f64 B C) (*.f64 A (*.f64 A A)))) (+.f64 (/.f64 C (*.f64 B A)) (+.f64 (/.f64 C (*.f64 B A)) (/.f64 #s(literal -2 binary64) B))))) |
(* 1/2 (/ B A)) |
(/.f64 (*.f64 B #s(literal 1/2 binary64)) A) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 B (/.f64 C A) B)) A) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(/.f64 (fma.f64 B #s(literal -1/2 binary64) (/.f64 (fma.f64 B (*.f64 C #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 B (*.f64 B (*.f64 C C))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 B B) (*.f64 B B)))) (*.f64 B A))) (neg.f64 A))) (neg.f64 A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(/.f64 (-.f64 (*.f64 B #s(literal -1/2 binary64)) (/.f64 (fma.f64 B (*.f64 C #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 C (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 B B) (*.f64 B B)))) (*.f64 C (-.f64 (*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/4 binary64)) (*.f64 B (*.f64 B (*.f64 C C)))))) (*.f64 B A)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 B (*.f64 B (*.f64 C C))) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 B B) (*.f64 B B)))) B)) (neg.f64 A))) A)) (neg.f64 A)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.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)) |
(* 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 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 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 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 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 (* -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)) |
Compiled 17 519 to 2 211 computations (87.4% saved)
16 alts after pruning (16 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 376 | 16 | 392 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 377 | 16 | 393 |
| Status | Accuracy | Program |
|---|---|---|
| 53.4% | (/.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)) | |
| 53.4% | (*.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)))) | |
| ▶ | 23.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B C) #s(literal 0 binary64))) (PI.f64))) |
| 14.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 C A) B) (/.f64 (-.f64 C A) B)) (*.f64 (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)))) (PI.f64))) | |
| 44.2% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 B B (*.f64 A A)))) B)) (PI.f64))) | |
| 44.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) (PI.f64))) | |
| 25.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) | |
| ▶ | 22.7% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) |
| ▶ | 50.7% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) B))) (PI.f64))) |
| 48.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (PI.f64))) | |
| 50.7% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))) | |
| ▶ | 77.3% | (*.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))) |
| 24.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 #s(literal -2 binary64) (/.f64 A B))) (PI.f64))) | |
| 23.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) | |
| 12.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) | |
| ▶ | 20.0% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
Compiled 646 to 416 computations (35.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) B))) |
| ✓ | cost-diff | 0 | (/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) B))) (PI.f64)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) B))) (PI.f64))) |
| ✓ | cost-diff | 704 | (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) B)) |
| ✓ | cost-diff | 0 | (atan.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B C) #s(literal 0 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (atan.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B C) #s(literal 0 binary64))) (PI.f64)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B C) #s(literal 0 binary64))) (PI.f64))) |
| ✓ | cost-diff | 64 | (fma.f64 #s(literal -1/2 binary64) (/.f64 B C) #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) |
| ✓ | cost-diff | 0 | (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) |
| ✓ | cost-diff | 128 | (*.f64 #s(literal 2 binary64) C) |
| ✓ | 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) |
| 5 088× | lower-fma.f32 |
| 5 084× | lower-fma.f64 |
| 1 312× | lower-*.f32 |
| 1 298× | lower-*.f64 |
| 1 004× | unsub-neg |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 319 |
| 0 | 77 | 285 |
| 1 | 118 | 269 |
| 2 | 193 | 269 |
| 3 | 405 | 263 |
| 4 | 1037 | 263 |
| 5 | 2065 | 263 |
| 6 | 3520 | 263 |
| 7 | 5144 | 263 |
| 8 | 5586 | 263 |
| 9 | 5642 | 263 |
| 10 | 5710 | 263 |
| 11 | 5710 | 263 |
| 12 | 5799 | 263 |
| 13 | 5827 | 263 |
| 14 | 5829 | 263 |
| 15 | 5829 | 263 |
| 16 | 5869 | 263 |
| 17 | 6142 | 263 |
| 0 | 6142 | 263 |
| 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) (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 #s(literal 2 binary64) C) B)) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64)) |
(atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) |
(/.f64 (*.f64 #s(literal 2 binary64) C) B) |
(*.f64 #s(literal 2 binary64) C) |
#s(literal 2 binary64) |
C |
B |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B C) #s(literal 0 binary64))) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B C) #s(literal 0 binary64))) (PI.f64)) |
(atan.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B C) #s(literal 0 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 B C) #s(literal 0 binary64)) |
#s(literal -1/2 binary64) |
(/.f64 B C) |
B |
C |
#s(literal 0 binary64) |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) B))) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) B))) (PI.f64)) |
(atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) B))) |
(-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) B)) |
(/.f64 (-.f64 C A) B) |
(-.f64 C A) |
C |
A |
B |
(/.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) B) |
(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 #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 #s(literal 2 binary64) C) B)) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (+.f64 C C) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64)) |
(/.f64 (atan.f64 (/.f64 (+.f64 C C) B)) (PI.f64)) |
(atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) |
(atan.f64 (/.f64 (+.f64 C C) B)) |
(/.f64 (*.f64 #s(literal 2 binary64) C) B) |
(/.f64 (+.f64 C C) B) |
(*.f64 #s(literal 2 binary64) C) |
(+.f64 C C) |
#s(literal 2 binary64) |
C |
B |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B C) #s(literal 0 binary64))) (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 (fma.f64 #s(literal -1/2 binary64) (/.f64 B C) #s(literal 0 binary64))) (PI.f64)) |
(/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) |
(atan.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B C) #s(literal 0 binary64))) |
(atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 B C) #s(literal 0 binary64)) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) C) |
#s(literal -1/2 binary64) |
(/.f64 B C) |
B |
C |
#s(literal 0 binary64) |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (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)) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (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 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B)) (PI.f64)) |
(atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (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) B) (/.f64 (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) B) |
(-.f64 C A) |
C |
A |
B |
(/.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) B) |
(/.f64 (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))) B) |
(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) |
(PI.f64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) B))) (PI.f64)) |
| ✓ | accuracy | 99.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) B))) (PI.f64))) |
| ✓ | accuracy | 68.7% | (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) B)) |
| ✓ | accuracy | 49.3% | (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal -1/2 binary64) (/.f64 B C) #s(literal 0 binary64)) |
| ✓ | accuracy | 100.0% | (atan.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B C) #s(literal 0 binary64))) |
| ✓ | accuracy | 99.7% | (/.f64 (atan.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B C) #s(literal 0 binary64))) (PI.f64)) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B C) #s(literal 0 binary64))) (PI.f64))) |
| ✓ | accuracy | 100.0% | (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) |
| ✓ | accuracy | 99.8% | (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (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 | 99.8% | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64)) |
| ✓ | accuracy | 99.8% | (*.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 | 91.6% | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) |
| ✓ | accuracy | 85.8% | (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)) |
| 64.0ms | 55× | 2 | valid |
| 58.0ms | 173× | 0 | valid |
| 16.0ms | 28× | 1 | valid |
Compiled 374 to 45 computations (88% saved)
ival-div: 26.0ms (25.3% of total)ival-hypot: 25.0ms (24.4% of total)ival-mult: 20.0ms (19.5% of total)adjust: 11.0ms (10.7% of total)ival-atan: 9.0ms (8.8% of total)ival-sub: 6.0ms (5.8% of total)ival-add: 3.0ms (2.9% of total)ival-pi: 1.0ms (1% of total)exact: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (-.f64 (-.f64 C A) (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 (PI.f64)> |
#<alt (atan.f64 #s(literal -1 binary64))> |
#<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 (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))> |
#<alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64)))> |
#<alt (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B))> |
#<alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B C) #s(literal 0 binary64))) (PI.f64)))> |
#<alt (/.f64 (atan.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B C) #s(literal 0 binary64))) (PI.f64))> |
#<alt (atan.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B C) #s(literal 0 binary64)))> |
#<alt (fma.f64 #s(literal -1/2 binary64) (/.f64 B C) #s(literal 0 binary64))> |
#<alt (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))> |
#<alt (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) B))> |
#<alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) B))) (PI.f64)))> |
#<alt (/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) B))) (PI.f64))> |
| Outputs |
|---|
#<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 (* -1/2 (/ (pow B 2) (- C A)))> |
#<alt (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A)))))> |
#<alt (* (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)))))> |
#<alt (* (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)))))> |
#<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 (/ B (- C A)))> |
#<alt (* B (- (* 1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A)))))> |
#<alt (* B (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A)))))> |
#<alt (* B (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow (- C A) 7))) (* 1/16 (/ 1 (pow (- C A) 5))))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A)))))> |
#<alt -1> |
#<alt (- (/ C B) (+ 1 (/ A B)))> |
#<alt (- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B)))> |
#<alt (- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- C A) 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 (- C A) 2) B))) B)))> |
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#<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 (+ (* (/ 1 B) (sqrt (+ (pow A 2) (pow B 2)))) (/ A B)))> |
#<alt (- (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ (* (/ 1 B) (sqrt (+ (pow A 2) (pow B 2)))) (/ A B)))> |
#<alt (- (* 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 B) (sqrt (+ (pow A 2) (pow B 2)))) (/ A B)))> |
#<alt (- (* 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 B) (sqrt (+ (pow A 2) (pow B 2)))) (/ A B)))> |
#<alt (* -1 (+ (* -1 (/ A B)) (/ A B)))> |
#<alt (- (* -1/2 (/ B C)) (+ (* -1 (/ A B)) (/ A B)))> |
#<alt (- (* -1/2 (/ (* A B) (pow C 2))) (+ (* -1 (/ A B)) (+ (* 1/2 (/ B C)) (/ A B))))> |
#<alt (- (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3)))) (+ (* -1 (/ A B)) (+ (* 1/2 (/ B C)) (+ (* 1/2 (/ (* A B) (pow C 2))) (/ A B)))))> |
#<alt (* 2 (/ C B))> |
#<alt (* -1 (* C (- (* -1 (/ (- (* -1 (/ A B)) (/ A B)) C)) (* 2 (/ 1 B)))))> |
#<alt (* -1 (* C (- (* -1 (/ (- (+ (* -1 (/ A B)) (* 1/2 (/ B C))) (/ A B)) C)) (* 2 (/ 1 B)))))> |
#<alt (* -1 (* C (- (* -1 (/ (- (+ (* -1 (/ A B)) (* -1 (/ (- (* -1/2 (/ (* A B) C)) (* 1/2 B)) C))) (/ A B)) C)) (* 2 (/ 1 B)))))> |
#<alt (- (/ C B) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))> |
#<alt (- (+ (* -1 (* A (+ (* -1 (* (/ C B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (/ 1 B)))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))> |
#<alt (- (+ (* A (- (* -1/2 (* (/ (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (+ (* -1 (* (/ C B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (/ 1 B)))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))> |
#<alt (- (+ (* A (- (* 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)))))))) (+ (* -1 (* (/ C B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (/ 1 B)))) (/ 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 C) (pow A 3))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (+ (* 1/2 (/ B (pow A 2))) (* 2 (/ 1 B))))))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* -1 (/ (- (* -1/2 (/ (* B C) A)) (* 1/2 B)) 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 (- (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B)) (+ 1 (+ (* 1/2 (/ (pow (- A C) 2) (pow B 2))) (/ 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 (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2)))))) (PI)))> |
#<alt (* 180 (/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2)))))) (PI)))> |
#<alt (* 180 (/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2)))))) (PI)))> |
#<alt (* 180 (/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2)))))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))))) (PI)))> |
#<alt (* 180 (/ (atan (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))))) (PI)))> |
#<alt (* 180 (/ (atan (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))))) (PI)))> |
#<alt (* 180 (/ (atan (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)))> |
#<alt (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))> |
#<alt (/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2)))))) (PI))> |
#<alt (/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2)))))) (PI))> |
#<alt (/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2)))))) (PI))> |
#<alt (/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2)))))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))> |
#<alt (/ (atan (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))))) (PI))> |
#<alt (/ (atan (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))))) (PI))> |
#<alt (/ (atan (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))))) (PI))> |
#<alt (/ (atan (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))> |
114 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 54.0ms | B | @ | -inf | (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) |
| 22.0ms | B | @ | -inf | (* 180 (/ (atan (- (/ (- C A) B) (/ (sqrt (+ (* (- A C) (- A C)) (* B B))) B))) (PI))) |
| 6.0ms | B | @ | 0 | (- (/ (- C A) B) (/ (sqrt (+ (* (- A C) (- A C)) (* B B))) B)) |
| 3.0ms | B | @ | inf | (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) |
| 1.0ms | C | @ | -inf | (* 180 (/ (atan (- (/ (- C A) B) (/ (sqrt (+ (* (- A C) (- A C)) (* B B))) B))) (PI))) |
| 1× | batch-egg-rewrite |
| 4 656× | lower-/.f32 |
| 4 636× | lower-/.f64 |
| 4 190× | lower-*.f32 |
| 4 174× | lower-*.f64 |
| 3 662× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 202 |
| 0 | 77 | 188 |
| 1 | 276 | 182 |
| 2 | 2204 | 182 |
| 0 | 8604 | 162 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.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 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)) |
(PI.f64) |
(atan.f64 #s(literal -1 binary64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
(/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64)) |
(/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) |
(atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B C) #s(literal 0 binary64))) (PI.f64))) |
(/.f64 (atan.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B C) #s(literal 0 binary64))) (PI.f64)) |
(atan.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B C) #s(literal 0 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 B C) #s(literal 0 binary64)) |
(sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) |
(-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) B)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) B))) (PI.f64))) |
(/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) B))) (PI.f64)) |
| Outputs |
|---|
(+.f64 C (neg.f64 (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
(+.f64 C (+.f64 (neg.f64 A) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
(+.f64 C (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) |
(+.f64 (-.f64 C A) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) |
(+.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (-.f64 C A)) |
(+.f64 (*.f64 (-.f64 C A) #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (-.f64 C A)) (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
(-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) |
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(*.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))))) |
(exp.f64 (*.f64 (log.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 -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.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 (PI.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)) (neg.f64 (PI.f64)))) |
(neg.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))) (PI.f64))) |
(/.f64 #s(literal 1 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) (/.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 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.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)))))) |
(/.f64 #s(literal -1 binary64) (neg.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))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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 1 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 (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 (PI.f64))) |
(/.f64 (neg.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 (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)) (sqrt.f64 (PI.f64))) (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)) #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 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)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(/.f64 (neg.f64 (neg.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 (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)) (sqrt.f64 (PI.f64)))) (neg.f64 (sqrt.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 (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 (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)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (neg.f64 (cbrt.f64 (PI.f64)))) |
(pow.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 -1 binary64)) |
(pow.f64 (/.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 1 binary64)) #s(literal -1 binary64)) |
(*.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)) (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)) (neg.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 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)) (PI.f64)) #s(literal 1 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))) (/.f64 #s(literal 1 binary64) (neg.f64 (PI.f64)))) |
(*.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 1 binary64) (PI.f64)) (pow.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))) #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)) (cbrt.f64 (PI.f64))) (/.f64 #s(literal 1 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 1 binary64) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (cbrt.f64 (PI.f64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (/.f64 (cbrt.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 -1 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)) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 (sqrt.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 -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 1 binary64)) (/.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)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (neg.f64 (cbrt.f64 (PI.f64))))) |
(*.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)) (neg.f64 (sqrt.f64 (PI.f64))))) |
| 1× | egg-herbie |
| 8 138× | lower-fma.f64 |
| 8 138× | lower-fma.f32 |
| 5 334× | lower-*.f64 |
| 5 334× | lower-*.f32 |
| 3 712× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 775 | 8164 |
| 1 | 2415 | 7706 |
| 2 | 7306 | 7664 |
| 0 | 8166 | 6585 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(- (* C (- 1 (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(- (* C (- (+ 1 (* -1/2 (* (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(- (* C (- (+ 1 (* C (- (* -1/2 (* (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow A 2) (pow B 2)))) (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(* -1 (+ A (* -1 A))) |
(- (* -1/2 (/ (pow B 2) C)) (+ A (* -1 A))) |
(- (* -1/2 (/ (* A (pow B 2)) (pow C 2))) (+ A (+ (* -1 A) (* 1/2 (/ (pow B 2) C))))) |
(- (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (pow C 3))) (+ A (+ (* -1 A) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 2))) (* 1/2 (/ (pow B 2) C)))))) |
(* 2 C) |
(* -1 (* C (- (* 2 (/ A C)) 2))) |
(* -1 (* C (- (* -1 (/ (- (* 1/2 (/ (pow B 2) C)) (* 2 A)) C)) 2))) |
(* -1 (* C (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C)) (* 2 A)) C)) 2))) |
(- C (sqrt (+ (pow B 2) (pow C 2)))) |
(- (+ C (* -1 (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(- (+ C (* A (- (* -1/2 (* (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(- (+ C (* A (- (* A (- (* -1/2 (* (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow B 2) (pow C 2)))) (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(* -2 A) |
(* A (- (/ C A) (+ 2 (* -1 (/ C A))))) |
(* A (- (+ (* -1/2 (/ (pow B 2) (pow A 2))) (/ C A)) (+ 2 (* -1 (/ C A))))) |
(* A (- (+ (* -1/2 (/ (* (pow B 2) C) (pow A 3))) (/ C A)) (+ 2 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(* 1/2 (/ (pow B 2) A)) |
(* -1 (/ (- (* -1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A)) |
(* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) A)) (* -1/2 (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(* -1/2 (/ (pow B 2) (- C A))) |
(* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A))))) |
(* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(* (pow B 2) (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow (- C A) 7))) (* 1/16 (/ 1 (pow (- C A) 5))))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(* -1 B) |
(* B (- (/ C B) (+ 1 (/ A B)))) |
(* B (- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B)))) |
(* B (- (+ (* 1/8 (/ (pow (- C A) 4) (pow B 4))) (/ C B)) (+ 1 (+ (* 1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B))))) |
B |
(* -1 (* B (- (* -1 (/ (- C A) B)) 1))) |
(* -1 (* B (- (* -1 (/ (- (+ C (* 1/2 (/ (pow (- C A) 2) B))) A) B)) 1))) |
(* -1 (* B (- (* -1 (/ (- (+ C (* -1 (/ (- (* 1/8 (/ (pow (- C A) 4) (pow B 2))) (* 1/2 (pow (- C A) 2))) B))) A) B)) 1))) |
(* -1/2 (/ B (- C A))) |
(* B (- (* 1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A))))) |
(* B (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(* B (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow (- C A) 7))) (* 1/16 (/ 1 (pow (- C A) 5))))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
-1 |
(- (/ C B) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- C A) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
1 |
(- (+ 1 (/ C B)) (/ A B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- C A) 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- C A) 4) (pow B 2))) (* 1/2 (pow (- C A) 2))) B))) B))) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(* -1 (/ (+ A (* -1 A)) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B) |
(- (+ (* -1 (/ (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* -1/2 (* (/ (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* A (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) B) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(* -2 (/ A B)) |
(* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (* 2 (/ C B))) (PI)) |
(/ (atan (* 2 (/ C B))) (PI)) |
(/ (atan (* 2 (/ C B))) (PI)) |
(/ (atan (* 2 (/ C B))) (PI)) |
(/ (atan (* 2 (/ C B))) (PI)) |
(/ (atan (* 2 (/ C B))) (PI)) |
(/ (atan (* 2 (/ C B))) (PI)) |
(/ (atan (* 2 (/ C B))) (PI)) |
(/ (atan (* 2 (/ C B))) (PI)) |
(/ (atan (* 2 (/ C B))) (PI)) |
(/ (atan (* 2 (/ C B))) (PI)) |
(/ (atan (* 2 (/ C B))) (PI)) |
(/ (atan (* 2 (/ C B))) (PI)) |
(/ (atan (* 2 (/ C B))) (PI)) |
(/ (atan (* 2 (/ C B))) (PI)) |
(/ (atan (* 2 (/ C B))) (PI)) |
(/ (atan (* 2 (/ C B))) (PI)) |
(/ (atan (* 2 (/ C B))) (PI)) |
(/ (atan (* 2 (/ C B))) (PI)) |
(/ (atan (* 2 (/ C B))) (PI)) |
(/ (atan (* 2 (/ C B))) (PI)) |
(/ (atan (* 2 (/ C B))) (PI)) |
(/ (atan (* 2 (/ C B))) (PI)) |
(/ (atan (* 2 (/ C B))) (PI)) |
(* 180 (/ (atan (* 2 (/ C B))) (PI))) |
(* 180 (/ (atan (* 2 (/ C B))) (PI))) |
(* 180 (/ (atan (* 2 (/ C B))) (PI))) |
(* 180 (/ (atan (* 2 (/ C B))) (PI))) |
(* 180 (/ (atan (* 2 (/ C B))) (PI))) |
(* 180 (/ (atan (* 2 (/ C B))) (PI))) |
(* 180 (/ (atan (* 2 (/ C B))) (PI))) |
(* 180 (/ (atan (* 2 (/ C B))) (PI))) |
(* 180 (/ (atan (* 2 (/ C B))) (PI))) |
(* 180 (/ (atan (* 2 (/ C B))) (PI))) |
(* 180 (/ (atan (* 2 (/ C B))) (PI))) |
(* 180 (/ (atan (* 2 (/ C B))) (PI))) |
(* 180 (/ (atan (* 2 (/ C B))) (PI))) |
(* 180 (/ (atan (* 2 (/ C B))) (PI))) |
(* 180 (/ (atan (* 2 (/ C B))) (PI))) |
(* 180 (/ (atan (* 2 (/ C B))) (PI))) |
(* 180 (/ (atan (* 2 (/ C B))) (PI))) |
(* 180 (/ (atan (* 2 (/ C B))) (PI))) |
(* 180 (/ (atan (* 2 (/ C B))) (PI))) |
(* 180 (/ (atan (* 2 (/ C B))) (PI))) |
(* 180 (/ (atan (* 2 (/ C B))) (PI))) |
(* 180 (/ (atan (* 2 (/ C B))) (PI))) |
(* 180 (/ (atan (* 2 (/ C B))) (PI))) |
(* 180 (/ (atan (* 2 (/ C B))) (PI))) |
(atan (* 2 (/ C B))) |
(atan (* 2 (/ C B))) |
(atan (* 2 (/ C B))) |
(atan (* 2 (/ C B))) |
(atan (* 2 (/ C B))) |
(atan (* 2 (/ C B))) |
(atan (* 2 (/ C B))) |
(atan (* 2 (/ C B))) |
(atan (* 2 (/ C B))) |
(atan (* 2 (/ C B))) |
(atan (* 2 (/ C B))) |
(atan (* 2 (/ C B))) |
(atan (* 2 (/ C B))) |
(atan (* 2 (/ C B))) |
(atan (* 2 (/ C B))) |
(atan (* 2 (/ C B))) |
(atan (* 2 (/ C B))) |
(atan (* 2 (/ C B))) |
(atan (* 2 (/ C B))) |
(atan (* 2 (/ C B))) |
(atan (* 2 (/ C B))) |
(atan (* 2 (/ C B))) |
(atan (* 2 (/ C B))) |
(atan (* 2 (/ C 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 (neg (* 1/2 (/ B C)))) (PI))) |
(* 180 (/ (atan (neg (* 1/2 (/ B C)))) (PI))) |
(* 180 (/ (atan (neg (* 1/2 (/ B C)))) (PI))) |
(* 180 (/ (atan (neg (* 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 (neg (* 1/2 (/ B C)))) (PI)) |
(/ (atan (neg (* 1/2 (/ B C)))) (PI)) |
(/ (atan (neg (* 1/2 (/ B C)))) (PI)) |
(/ (atan (neg (* 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 (neg (* 1/2 (/ B C)))) |
(atan (neg (* 1/2 (/ B C)))) |
(atan (neg (* 1/2 (/ B C)))) |
(atan (neg (* 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)) |
(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 (+ (* (/ 1 B) (sqrt (+ (pow A 2) (pow B 2)))) (/ A B))) |
(- (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ (* (/ 1 B) (sqrt (+ (pow A 2) (pow B 2)))) (/ A 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 B) (sqrt (+ (pow A 2) (pow B 2)))) (/ A 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 B) (sqrt (+ (pow A 2) (pow B 2)))) (/ A B))) |
(* -1 (+ (* -1 (/ A B)) (/ A B))) |
(- (* -1/2 (/ B C)) (+ (* -1 (/ A B)) (/ A B))) |
(- (* -1/2 (/ (* A B) (pow C 2))) (+ (* -1 (/ A B)) (+ (* 1/2 (/ B C)) (/ A B)))) |
(- (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3)))) (+ (* -1 (/ A B)) (+ (* 1/2 (/ B C)) (+ (* 1/2 (/ (* A B) (pow C 2))) (/ A B))))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* -1 (/ (- (* -1 (/ A B)) (/ A B)) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (- (+ (* -1 (/ A B)) (* 1/2 (/ B C))) (/ A B)) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (- (+ (* -1 (/ A B)) (* -1 (/ (- (* -1/2 (/ (* A B) C)) (* 1/2 B)) C))) (/ A B)) C)) (* 2 (/ 1 B))))) |
(- (/ C B) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* -1 (* A (+ (* -1 (* (/ C B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (/ 1 B)))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (- (* -1/2 (* (/ (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (+ (* -1 (* (/ C B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (/ 1 B)))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (- (* 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)))))))) (+ (* -1 (* (/ C B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (/ 1 B)))) (/ 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 C) (pow A 3))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (+ (* 1/2 (/ B (pow A 2))) (* 2 (/ 1 B)))))) |
(* 1/2 (/ B A)) |
(* -1 (/ (- (* -1/2 (/ (* B C) A)) (* 1/2 B)) A)) |
(* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* -1/2 (* B C))) A)) (* 1/2 B)) A)) |
(* -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))) |
(- (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B)) (+ 1 (+ (* 1/2 (/ (pow (- A C) 2) (pow B 2))) (/ 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))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2)))))) (PI))) |
(* 180 (/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2)))))) (PI))) |
(* 180 (/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2)))))) (PI))) |
(* 180 (/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2)))))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))))) (PI))) |
(* 180 (/ (atan (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))))) (PI))) |
(* 180 (/ (atan (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))))) (PI))) |
(* 180 (/ (atan (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)) |
(/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2)))))) (PI)) |
(/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2)))))) (PI)) |
(/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2)))))) (PI)) |
(/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2)))))) (PI)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)) |
(/ (atan (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))))) (PI)) |
(/ (atan (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))))) (PI)) |
(/ (atan (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))))) (PI)) |
(/ (atan (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))))) (PI)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)) |
| Outputs |
|---|
(* -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))))) |
(fma.f64 C (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))))) |
(- (* C (- (+ 1 (* -1/2 (* (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(fma.f64 C (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) C) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (fma.f64 A A (*.f64 B B)))) A) #s(literal 1 binary64)) (-.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 A (*.f64 (*.f64 C (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (fma.f64 A A (*.f64 B B))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 A A (*.f64 B B)) (*.f64 (fma.f64 A A (*.f64 B B)) (fma.f64 A A (*.f64 B B))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (fma.f64 A A (*.f64 B B))))))) (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)))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 A A) (neg.f64 (*.f64 B B)) (*.f64 #s(literal 1/4 binary64) (pow.f64 B #s(literal 4 binary64)))) (*.f64 C (*.f64 C C))) (-.f64 #s(literal 0 binary64) (*.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 #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 #s(literal -2 binary64) (/.f64 (fma.f64 A #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) C)) C)))) |
(* -1 (* C (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C)) (* 2 A)) C)) 2))) |
(*.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (*.f64 A #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 B B (/.f64 (*.f64 A (*.f64 B B)) C))) C)) 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 (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)) (-.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 (+.f64 (fma.f64 (*.f64 A (-.f64 #s(literal 1 binary64) (/.f64 (*.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)))) #s(literal -1/2 binary64)) #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 #s(literal 1 binary64) (/.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C)))) (*.f64 A 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 C A) (-.f64 #s(literal 2 binary64) (/.f64 C A)))) |
(* A (- (+ (* -1/2 (/ (pow B 2) (pow A 2))) (/ C A)) (+ 2 (* -1 (/ C A))))) |
(*.f64 A (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 B (/.f64 B (*.f64 A A))) (/.f64 C A)) (-.f64 #s(literal 2 binary64) (/.f64 C A)))) |
(* A (- (+ (* -1/2 (/ (* (pow B 2) C) (pow A 3))) (/ C A)) (+ 2 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(*.f64 A (-.f64 (fma.f64 (*.f64 B (*.f64 B C)) (/.f64 #s(literal -1/2 binary64) (*.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 B (/.f64 (*.f64 B C) A)))) (neg.f64 A)) |
(* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(/.f64 (fma.f64 (*.f64 B B) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 B #s(literal 4 binary64))) (*.f64 B (*.f64 B (*.f64 C C)))) A) (*.f64 B (*.f64 B C)))) A)) (neg.f64 A)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) A)) (* -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)) |
(neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 B (*.f64 B C)) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 B #s(literal 4 binary64))) (*.f64 B (*.f64 B (*.f64 C C)))) (neg.f64 C) (*.f64 #s(literal -1/2 binary64) (*.f64 C (pow.f64 B #s(literal 4 binary64))))) A) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 B #s(literal 4 binary64))) (*.f64 B (*.f64 B (*.f64 C C)))))) A)) A)) A)) |
(* -1/2 (/ (pow B 2) (- C A))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 B (/.f64 B (-.f64 C A)))) |
(* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A))))) |
(*.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/8 binary64) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A)))) (/.f64 #s(literal -1/2 binary64) (-.f64 C A)))) |
(* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(*.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 B B) (pow.f64 (-.f64 C A) #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))))) (/.f64 #s(literal -1/2 binary64) (-.f64 C A)))) |
(* (pow B 2) (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow (- C A) 7))) (* 1/16 (/ 1 (pow (- C A) 5))))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(*.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 #s(literal 5/128 binary64) (/.f64 (*.f64 B B) (pow.f64 (-.f64 C A) #s(literal 7 binary64))) (/.f64 #s(literal -1/16 binary64) (pow.f64 (-.f64 C A) #s(literal 5 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))))) (/.f64 #s(literal -1/2 binary64) (-.f64 C A)))) |
(* -1 B) |
(neg.f64 B) |
(* B (- (/ C B) (+ 1 (/ A B)))) |
(*.f64 B (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) |
(* B (- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B)))) |
(*.f64 B (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 B B)) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) |
(* B (- (+ (* 1/8 (/ (pow (- C A) 4) (pow B 4))) (/ C B)) (+ 1 (+ (* 1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B))))) |
(*.f64 B (-.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 C A) #s(literal 4 binary64)) (pow.f64 B #s(literal 4 binary64))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (/.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) #s(literal 1/2 binary64))) (*.f64 B B)))) |
B |
(* -1 (* B (- (* -1 (/ (- C A) B)) 1))) |
(neg.f64 (-.f64 (*.f64 B (/.f64 (-.f64 A C) B)) B)) |
(* -1 (* B (- (* -1 (/ (- (+ C (* 1/2 (/ (pow (- C A) 2) B))) A) B)) 1))) |
(neg.f64 (*.f64 B (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) B) 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 B (neg.f64 (-.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 (/ B (- C A))) |
(*.f64 B (/.f64 #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 C A)))) |
(* B (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
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(atan.f64 (*.f64 #s(literal 2 binary64) (/.f64 C B))) |
(atan (* 2 (/ C B))) |
(atan.f64 (*.f64 #s(literal 2 binary64) (/.f64 C B))) |
(atan (* 2 (/ C B))) |
(atan.f64 (*.f64 #s(literal 2 binary64) (/.f64 C B))) |
(atan (* 2 (/ C B))) |
(atan.f64 (*.f64 #s(literal 2 binary64) (/.f64 C B))) |
(atan (* 2 (/ C B))) |
(atan.f64 (*.f64 #s(literal 2 binary64) (/.f64 C B))) |
(atan (* 2 (/ C B))) |
(atan.f64 (*.f64 #s(literal 2 binary64) (/.f64 C B))) |
(atan (* 2 (/ C B))) |
(atan.f64 (*.f64 #s(literal 2 binary64) (/.f64 C B))) |
(atan (* 2 (/ C B))) |
(atan.f64 (*.f64 #s(literal 2 binary64) (/.f64 C B))) |
(atan (* 2 (/ C B))) |
(atan.f64 (*.f64 #s(literal 2 binary64) (/.f64 C B))) |
(atan (* 2 (/ C B))) |
(atan.f64 (*.f64 #s(literal 2 binary64) (/.f64 C B))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (PI.f64)) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (PI.f64)) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (PI.f64)) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (PI.f64)) |
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(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (PI.f64)) |
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(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (PI.f64)) |
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(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (PI.f64)) |
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(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (PI.f64)) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
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(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
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(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
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(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
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(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (PI.f64)) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (PI.f64)) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
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(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (PI.f64)) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (PI.f64)) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (PI.f64)) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (PI.f64)) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (PI.f64)) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (PI.f64)) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (PI.f64)) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (PI.f64)) |
(/ (atan (* -1/2 (/ B C))) (PI)) |
(/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) |
(/ (atan (* -1/2 (/ B C))) (PI)) |
(/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) |
(/ (atan (* -1/2 (/ B C))) (PI)) |
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(/ (atan (* -1/2 (/ B C))) (PI)) |
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(/ (atan (neg (* 1/2 (/ B C)))) (PI)) |
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(/ (atan (neg (* 1/2 (/ B C)))) (PI)) |
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(/ (atan (* -1/2 (/ B C))) (PI)) |
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(/ (atan (* -1/2 (/ B C))) (PI)) |
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(/ (atan (* -1/2 (/ B C))) (PI)) |
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(/ (atan (* -1/2 (/ B C))) (PI)) |
(/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) |
(/ (atan (* -1/2 (/ B C))) (PI)) |
(/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) |
(/ (atan (* -1/2 (/ B C))) (PI)) |
(/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) |
(/ (atan (* -1/2 (/ B C))) (PI)) |
(/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) |
(/ (atan (* -1/2 (/ B C))) (PI)) |
(/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) |
(/ (atan (* -1/2 (/ B C))) (PI)) |
(/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) |
(/ (atan (* -1/2 (/ B C))) (PI)) |
(/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) |
(/ (atan (* -1/2 (/ B C))) (PI)) |
(/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) |
(/ (atan (* -1/2 (/ B C))) (PI)) |
(/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) |
(/ (atan (* -1/2 (/ B C))) (PI)) |
(/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) |
(/ (atan (* -1/2 (/ B C))) (PI)) |
(/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) |
(/ (atan (* -1/2 (/ B C))) (PI)) |
(/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) |
(/ (atan (* -1/2 (/ B C))) (PI)) |
(/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) |
(atan (* -1/2 (/ B C))) |
(atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) |
(atan (* -1/2 (/ B C))) |
(atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) |
(atan (* -1/2 (/ B C))) |
(atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) |
(atan (* -1/2 (/ B C))) |
(atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) |
(atan (neg (* 1/2 (/ B C)))) |
(atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) |
(atan (neg (* 1/2 (/ B C)))) |
(atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) |
(atan (neg (* 1/2 (/ B C)))) |
(atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) |
(atan (neg (* 1/2 (/ B C)))) |
(atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) |
(atan (* -1/2 (/ B C))) |
(atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) |
(atan (* -1/2 (/ B C))) |
(atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) |
(atan (* -1/2 (/ B C))) |
(atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) |
(atan (* -1/2 (/ B C))) |
(atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) |
(atan (* -1/2 (/ B C))) |
(atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) |
(atan (* -1/2 (/ B C))) |
(atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) |
(atan (* -1/2 (/ B C))) |
(atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) |
(atan (* -1/2 (/ B C))) |
(atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) |
(atan (* -1/2 (/ B C))) |
(atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) |
(atan (* -1/2 (/ B C))) |
(atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) |
(atan (* -1/2 (/ B C))) |
(atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) |
(atan (* -1/2 (/ B C))) |
(atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) |
(atan (* -1/2 (/ B C))) |
(atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) |
(atan (* -1/2 (/ B C))) |
(atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) |
(atan (* -1/2 (/ B C))) |
(atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) |
(atan (* -1/2 (/ B C))) |
(atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) |
(* -1/2 (/ B C)) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) C) |
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(/.f64 (*.f64 B #s(literal -1/2 binary64)) C) |
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(/.f64 (*.f64 B #s(literal -1/2 binary64)) C) |
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(/.f64 (*.f64 B #s(literal -1/2 binary64)) C) |
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(* -1/2 (/ B C)) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) C) |
(* -1/2 (/ B C)) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) C) |
(* -1/2 (/ B C)) |
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(* -1/2 (/ B C)) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) C) |
(* -1/2 (/ B C)) |
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(* -1/2 (/ B C)) |
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(* -1/2 (/ B C)) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) C) |
(* -1/2 (/ B C)) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) C) |
(* -1/2 (/ B C)) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) C) |
(* -1/2 (/ B C)) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) C) |
(* -1/2 (/ B C)) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) C) |
(* -1/2 (/ B C)) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) C) |
(sqrt (+ (pow B 2) (pow C 2))) |
(sqrt.f64 (fma.f64 B B (*.f64 C C))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) |
(fma.f64 A (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) (neg.f64 C)) (sqrt.f64 (fma.f64 B B (*.f64 C C)))) |
(+ (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 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C)))) (*.f64 A 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 #s(literal 1/2 binary64) A))) (sqrt.f64 (fma.f64 B B (*.f64 C C)))) |
A |
(* A (+ 1 (* -1 (/ C A)))) |
(-.f64 A (*.f64 (/.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 B (*.f64 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 #s(literal 1 binary64) (/.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 (+.f64 C (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 B B (*.f64 B (/.f64 (*.f64 B C) A)))) 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))))))) |
(-.f64 (sqrt.f64 (fma.f64 A A (*.f64 B B))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (*.f64 A C))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* C (+ (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (* 1/2 (* (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(fma.f64 C (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) C) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (fma.f64 A A (*.f64 B B)))) (neg.f64 A))) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* C (+ (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (* C (+ (* 1/2 (* (sqrt (/ 1 (+ (pow A 2) (pow B 2)))) (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (* 1/2 (* (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3)))))))))) |
(fma.f64 C (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) C) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (fma.f64 A A (*.f64 B B)))) (neg.f64 A)) (*.f64 C (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (fma.f64 A A (*.f64 B B)))) (*.f64 A C)) (*.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)))))) #s(literal 1/2 binary64))))) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) |
C |
(* C (+ 1 (* -1 (/ A C)))) |
(fma.f64 C (/.f64 A (neg.f64 C)) C) |
(* C (+ 1 (+ (* -1 (/ A C)) (* 1/2 (/ (pow B 2) (pow C 2)))))) |
(fma.f64 C (-.f64 (/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) (*.f64 C C)) (/.f64 A C)) C) |
(* C (+ 1 (+ (* -1 (/ A C)) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 3))) (* 1/2 (/ (pow B 2) (pow C 2))))))) |
(fma.f64 C (-.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 A (/.f64 (*.f64 B B) (*.f64 C (*.f64 C C))) (/.f64 (*.f64 B B) (*.f64 C C)))) (/.f64 A C)) C) |
(* -1 C) |
(neg.f64 C) |
(* -1 (* C (+ 1 (* -1 (/ A C))))) |
(neg.f64 (fma.f64 C (/.f64 A (neg.f64 C)) C)) |
(* -1 (* C (+ 1 (* -1 (/ (+ A (* -1/2 (/ (pow B 2) C))) C))))) |
(neg.f64 (fma.f64 C (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) C) A) (neg.f64 C)) C)) |
(* -1 (* C (+ 1 (* -1 (/ (+ A (* -1 (/ (+ (* 1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C))) C))))) |
(neg.f64 (fma.f64 C (/.f64 (-.f64 (neg.f64 A) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 B B (/.f64 (*.f64 A (*.f64 B B)) C))) C)) C) C)) |
(- A C) |
(-.f64 A C) |
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(* -2 (/ A B)) |
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-1 |
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1 |
#s(literal 1 binary64) |
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(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))) (neg.f64 B)) (/.f64 (-.f64 A C) B)))) (PI.f64)) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B))) (PI.f64)) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B))) (PI.f64)) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B))) (PI.f64)) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B))) (PI.f64)) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B))) (PI.f64)) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B))) (PI.f64)) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B))) (PI.f64)) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B))) (PI.f64)) |
(* 180 (/ (atan (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B))) (PI.f64)) |
(* 180 (/ (atan (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B))) (PI.f64)) |
(* 180 (/ (atan (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B))) (PI.f64)) |
(* 180 (/ (atan (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B))) (PI.f64)) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B))) (PI.f64)) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B))) (PI.f64)) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B))) (PI.f64)) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B))) (PI.f64)) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B))) (PI.f64)) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B))) (PI.f64)) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B))) (PI.f64)) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B))) (PI.f64)) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B))) (PI.f64)) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B))) (PI.f64)) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B))) (PI.f64)) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B))) (PI.f64)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B)) (PI.f64)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B)) (PI.f64)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B)) (PI.f64)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B)) (PI.f64)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B)) (PI.f64)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B)) (PI.f64)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B)) (PI.f64)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B)) (PI.f64)) |
(/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2)))))) (PI)) |
(/.f64 (atan.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))) (neg.f64 B)) (/.f64 (-.f64 A C) B))) (PI.f64)) |
(/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2)))))) (PI)) |
(/.f64 (atan.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))) (neg.f64 B)) (/.f64 (-.f64 A C) B))) (PI.f64)) |
(/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2)))))) (PI)) |
(/.f64 (atan.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))) (neg.f64 B)) (/.f64 (-.f64 A C) B))) (PI.f64)) |
(/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2)))))) (PI)) |
(/.f64 (atan.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))) (neg.f64 B)) (/.f64 (-.f64 A C) B))) (PI.f64)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B)) (PI.f64)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B)) (PI.f64)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B)) (PI.f64)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B)) (PI.f64)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B)) (PI.f64)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B)) (PI.f64)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B)) (PI.f64)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B)) (PI.f64)) |
(/ (atan (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B)) (PI.f64)) |
(/ (atan (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B)) (PI.f64)) |
(/ (atan (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B)) (PI.f64)) |
(/ (atan (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B)) (PI.f64)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B)) (PI.f64)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B)) (PI.f64)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B)) (PI.f64)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B)) (PI.f64)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B)) (PI.f64)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B)) (PI.f64)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B)) (PI.f64)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B)) (PI.f64)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B)) (PI.f64)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B)) (PI.f64)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B)) (PI.f64)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- A C) 2)))) (/ A B)))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A)))))) B)) (PI.f64)) |
Compiled 37 894 to 4 839 computations (87.2% saved)
29 alts after pruning (26 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 487 | 17 | 1 504 |
| Fresh | 2 | 9 | 11 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 491 | 29 | 1 520 |
| Status | Accuracy | Program |
|---|---|---|
| 53.4% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B))) (PI.f64)) | |
| ▶ | 23.3% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (PI.f64)) |
| 23.1% | (*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 #s(literal 180 binary64) (cbrt.f64 (PI.f64)))) | |
| 23.3% | (*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) #s(literal 180 binary64)) | |
| 53.4% | (*.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)))) | |
| 23.3% | (*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 180 binary64))) | |
| 23.2% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B C) #s(literal 0 binary64))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))) | |
| 14.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 C A) B) (/.f64 (-.f64 C A) B)) (*.f64 (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)))) (PI.f64))) | |
| 44.2% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 B B (*.f64 A A)))) B)) (PI.f64))) | |
| 44.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) (PI.f64))) | |
| 25.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) | |
| 24.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 A #s(literal -2 binary64)) B)) (PI.f64))) | |
| ✓ | 22.7% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) |
| 23.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 C B))) (PI.f64))) | |
| ▶ | 50.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B))) (PI.f64))) |
| 42.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 (/.f64 (neg.f64 A) B) (/.f64 (sqrt.f64 (fma.f64 A A (*.f64 B B))) B))) (PI.f64))) | |
| 48.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (PI.f64))) | |
| 50.7% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))) | |
| 76.3% | (*.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)))) (*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64)))))) | |
| 74.4% | (*.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)))) (*.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))))) | |
| ▶ | 76.3% | (*.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)))) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) |
| ✓ | 77.3% | (*.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))) |
| 29.2% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (*.f64 #s(literal -1/2 binary64) (*.f64 B (/.f64 B (-.f64 C A)))))) (PI.f64))) | |
| 37.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) (-.f64 C A)))) (PI.f64))) | |
| 23.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C))) (PI.f64))) | |
| 23.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) | |
| ▶ | 12.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
| ✓ | 20.0% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
| ▶ | 23.1% | (*.f64 #s(literal 180 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))))) |
Compiled 1 103 to 756 computations (31.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B))) |
| ✓ | cost-diff | 0 | (/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B))) (PI.f64)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B))) (PI.f64))) |
| ✓ | cost-diff | 704 | (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B)) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))))) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)))) |
| ✓ | 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 | 0 | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (PI.f64)) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (atan.f64 #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (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)))) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) |
| ✓ | cost-diff | 1600 | (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) |
| ✓ | cost-diff | 4928 | (hypot.f64 (-.f64 C A) B) |
| 5 616× | lower-fma.f32 |
| 5 614× | lower-fma.f64 |
| 1 684× | lower-*.f32 |
| 1 666× | lower-*.f64 |
| 1 124× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 311 |
| 0 | 72 | 297 |
| 1 | 114 | 289 |
| 2 | 214 | 287 |
| 3 | 440 | 287 |
| 4 | 1036 | 287 |
| 5 | 2072 | 287 |
| 6 | 3608 | 279 |
| 7 | 5702 | 279 |
| 8 | 6449 | 279 |
| 9 | 6566 | 279 |
| 10 | 6610 | 279 |
| 11 | 6610 | 279 |
| 12 | 6785 | 279 |
| 13 | 6837 | 279 |
| 14 | 6837 | 279 |
| 15 | 6885 | 279 |
| 16 | 7142 | 279 |
| 0 | 7142 | 255 |
| 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) (hypot.f64 (-.f64 C A) B)))) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (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)))) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (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) |
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) |
(sqrt.f64 (PI.f64)) |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64)) |
(atan.f64 #s(literal 0 binary64)) |
#s(literal 0 binary64) |
(PI.f64) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (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 |
(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)) C))))) |
#s(literal 180 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)))) |
#s(literal 1 binary64) |
(/.f64 (PI.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 |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B))) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B))) (PI.f64)) |
(atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B))) |
(-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B)) |
(/.f64 (-.f64 C A) B) |
(-.f64 C A) |
C |
A |
B |
(/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B) |
(sqrt.f64 (fma.f64 B B (*.f64 C C))) |
(fma.f64 B B (*.f64 C C)) |
(*.f64 C C) |
(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)))) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) |
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) |
(/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B) |
(/.f64 #s(literal 1 binary64) B) |
#s(literal 1 binary64) |
B |
(-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)) |
(-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) |
(-.f64 C A) |
C |
A |
(hypot.f64 (-.f64 C A) B) |
(sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) |
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) |
(PI.f64) |
(sqrt.f64 (PI.f64)) |
(PI.f64) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 0 binary64))) (PI.f64)) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64)) |
(atan.f64 #s(literal 0 binary64)) |
#s(literal 0 binary64) |
(PI.f64) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (PI.f64)) |
(*.f64 (atan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 B C))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) |
(*.f64 #s(literal 180 binary64) (atan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) |
#s(literal 180 binary64) |
(atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) |
(atan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 B C))) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) C) |
(*.f64 #s(literal -1/2 binary64) (/.f64 B C)) |
(*.f64 B #s(literal -1/2 binary64)) |
B |
#s(literal -1/2 binary64) |
C |
(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)) C))))) |
(*.f64 (atan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 B C))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)))) |
(/.f64 (atan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 B C))) (PI.f64)) |
#s(literal 1 binary64) |
(/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) |
(/.f64 (PI.f64) (atan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 B C)))) |
(PI.f64) |
(atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) |
(atan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 B C))) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) C) |
(*.f64 #s(literal -1/2 binary64) (/.f64 B C)) |
(*.f64 B #s(literal -1/2 binary64)) |
B |
#s(literal -1/2 binary64) |
C |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B))) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B))) (PI.f64)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B)) (PI.f64)) |
(atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B))) |
(atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B)) |
(-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B)) |
(/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 B B (*.f64 C C))))) B) |
(/.f64 (-.f64 C A) B) |
(-.f64 C A) |
C |
A |
B |
(/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B) |
(sqrt.f64 (fma.f64 B B (*.f64 C C))) |
(fma.f64 B B (*.f64 C C)) |
(*.f64 C C) |
(PI.f64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B))) (PI.f64))) |
| ✓ | accuracy | 99.9% | (/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B))) (PI.f64)) |
| ✓ | accuracy | 85.1% | (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B)) |
| ✓ | accuracy | 59.0% | (sqrt.f64 (fma.f64 B B (*.f64 C C))) |
| ✓ | accuracy | 100.0% | (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) |
| ✓ | accuracy | 99.7% | (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 180 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))))) |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)))) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 100.0% | (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) |
| ✓ | accuracy | 99.8% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (PI.f64)) |
| ✓ | accuracy | 99.6% | (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) |
| ✓ | accuracy | 100.0% | (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
| ✓ | accuracy | 100.0% | (atan.f64 #s(literal 0 binary64)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 98.4% | (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) |
| ✓ | accuracy | 98.4% | (sqrt.f64 (PI.f64)) |
| ✓ | accuracy | 91.6% | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) |
| ✓ | accuracy | 85.8% | (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)) |
| 52.0ms | 173× | 0 | valid |
| 40.0ms | 54× | 2 | valid |
| 17.0ms | 29× | 1 | valid |
Compiled 362 to 41 computations (88.7% saved)
ival-div: 20.0ms (26.7% of total)ival-mult: 19.0ms (25.4% of total)ival-hypot: 12.0ms (16% of total)adjust: 7.0ms (9.3% of total)ival-atan: 7.0ms (9.3% of total)ival-sub: 5.0ms (6.7% of total)ival-sqrt: 2.0ms (2.7% of total)ival-pi: 1.0ms (1.3% of total)ival-add: 1.0ms (1.3% of total)exact: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (-.f64 (-.f64 C A) (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 (sqrt.f64 (PI.f64))> |
#<alt (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))> |
#<alt (PI.f64)> |
#<alt (atan.f64 #s(literal 0 binary64))> |
#<alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64)))> |
#<alt (/.f64 (atan.f64 #s(literal 0 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 B #s(literal -1/2 binary64)) C))) (PI.f64))> |
#<alt (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))))> |
#<alt (*.f64 #s(literal 180 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)))))> |
#<alt (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)))> |
#<alt (sqrt.f64 (fma.f64 B B (*.f64 C C)))> |
#<alt (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B))> |
#<alt (/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B))) (PI.f64))> |
#<alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B))) (PI.f64)))> |
| Outputs |
|---|
#<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 (* -1/2 (/ (pow B 2) (- C A)))> |
#<alt (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A)))))> |
#<alt (* (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)))))> |
#<alt (* (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)))))> |
#<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 (/ B (- C A)))> |
#<alt (* B (- (* 1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A)))))> |
#<alt (* B (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A)))))> |
#<alt (* B (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow (- C A) 7))) (* 1/16 (/ 1 (pow (- C A) 5))))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A)))))> |
#<alt -1> |
#<alt (- (/ C B) (+ 1 (/ A B)))> |
#<alt (- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B)))> |
#<alt (- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- C A) 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 (- C A) 2) B))) B)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- C A) 4) (pow B 2))) (* 1/2 (pow (- C A) 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 (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (atan (* -1/2 (/ B C)))> |
#<alt (/ (atan (* -1/2 (/ B C))) (PI))> |
#<alt (/ (atan (* -1/2 (/ B C))) (PI))> |
#<alt (/ (atan (* -1/2 (/ B C))) (PI))> |
#<alt (/ (atan (* -1/2 (/ B C))) (PI))> |
#<alt (/ (atan (* -1/2 (/ B C))) (PI))> |
#<alt (/ (atan (* -1/2 (/ B C))) (PI))> |
#<alt (/ (atan (* -1/2 (/ B C))) (PI))> |
#<alt (/ (atan (* -1/2 (/ B C))) (PI))> |
#<alt (/ (atan (* -1/2 (/ B C))) (PI))> |
#<alt (/ (atan (* -1/2 (/ B C))) (PI))> |
#<alt (/ (atan (* -1/2 (/ B C))) (PI))> |
#<alt (/ (atan (* -1/2 (/ B C))) (PI))> |
#<alt (/ (atan (* -1/2 (/ B C))) (PI))> |
#<alt (/ (atan (* -1/2 (/ B C))) (PI))> |
#<alt (/ (atan (* -1/2 (/ B C))) (PI))> |
#<alt (/ (atan (* -1/2 (/ B C))) (PI))> |
#<alt (/ (atan (* -1/2 (/ B C))) (PI))> |
#<alt (/ (atan (* -1/2 (/ B C))) (PI))> |
#<alt (/ (atan (* -1/2 (/ B C))) (PI))> |
#<alt (/ (atan (* -1/2 (/ B C))) (PI))> |
#<alt (/ (atan (* -1/2 (/ B C))) (PI))> |
#<alt (/ (atan (* -1/2 (/ B C))) (PI))> |
#<alt (/ (atan (* -1/2 (/ B C))) (PI))> |
#<alt (/ (atan (* -1/2 (/ B C))) (PI))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (/ (PI) (atan (* -1/2 (/ B C))))> |
#<alt (/ (PI) (atan (* -1/2 (/ B C))))> |
#<alt (/ (PI) (atan (* -1/2 (/ B C))))> |
#<alt (/ (PI) (atan (* -1/2 (/ B C))))> |
#<alt (/ (PI) (atan (* -1/2 (/ B C))))> |
#<alt (/ (PI) (atan (* -1/2 (/ B C))))> |
#<alt (/ (PI) (atan (* -1/2 (/ B C))))> |
#<alt (/ (PI) (atan (* -1/2 (/ B C))))> |
#<alt (/ (PI) (atan (* -1/2 (/ B C))))> |
#<alt (/ (PI) (atan (* -1/2 (/ B C))))> |
#<alt (/ (PI) (atan (* -1/2 (/ B C))))> |
#<alt (/ (PI) (atan (* -1/2 (/ B C))))> |
#<alt (/ (PI) (atan (* -1/2 (/ B C))))> |
#<alt (/ (PI) (atan (* -1/2 (/ B C))))> |
#<alt (/ (PI) (atan (* -1/2 (/ B C))))> |
#<alt (/ (PI) (atan (* -1/2 (/ B C))))> |
#<alt (/ (PI) (atan (* -1/2 (/ B C))))> |
#<alt (/ (PI) (atan (* -1/2 (/ B C))))> |
#<alt (/ (PI) (atan (* -1/2 (/ B C))))> |
#<alt (/ (PI) (atan (* -1/2 (/ B C))))> |
#<alt (/ (PI) (atan (* -1/2 (/ B C))))> |
#<alt (/ (PI) (atan (* -1/2 (/ B C))))> |
#<alt (/ (PI) (atan (* -1/2 (/ B C))))> |
#<alt (/ (PI) (atan (* -1/2 (/ B C))))> |
#<alt C> |
#<alt (+ C (* 1/2 (/ (pow B 2) C)))> |
#<alt (+ C (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow C 3))) (* 1/2 (/ 1 C)))))> |
#<alt (+ C (* (pow B 2) (+ (* (pow B 2) (- (* 1/16 (/ (pow B 2) (pow C 5))) (* 1/8 (/ 1 (pow C 3))))) (* 1/2 (/ 1 C)))))> |
#<alt B> |
#<alt (* B (+ 1 (* 1/2 (/ (pow C 2) (pow B 2)))))> |
#<alt (* B (+ 1 (+ (* -1/8 (/ (pow C 4) (pow B 4))) (* 1/2 (/ (pow C 2) (pow B 2))))))> |
#<alt (* B (+ 1 (+ (* -1/8 (/ (pow C 4) (pow B 4))) (+ (* 1/16 (/ (pow C 6) (pow B 6))) (* 1/2 (/ (pow C 2) (pow B 2)))))))> |
#<alt (* -1 B)> |
#<alt (* -1 (* B (+ 1 (* 1/2 (/ (pow C 2) (pow B 2))))))> |
#<alt (* -1 (* B (+ 1 (+ (* -1/8 (/ (pow C 4) (pow B 4))) (* 1/2 (/ (pow C 2) (pow B 2)))))))> |
#<alt (* -1 (* B (+ 1 (+ (* -1/8 (/ (pow C 4) (pow B 4))) (+ (* 1/16 (/ (pow C 6) (pow B 6))) (* 1/2 (/ (pow C 2) (pow B 2))))))))> |
#<alt B> |
#<alt (+ B (* 1/2 (/ (pow C 2) B)))> |
#<alt (+ B (* (pow C 2) (+ (* -1/8 (/ (pow C 2) (pow B 3))) (* 1/2 (/ 1 B)))))> |
#<alt (+ B (* (pow C 2) (+ (* (pow C 2) (- (* 1/16 (/ (pow C 2) (pow B 5))) (* 1/8 (/ 1 (pow B 3))))) (* 1/2 (/ 1 B)))))> |
#<alt C> |
#<alt (* C (+ 1 (* 1/2 (/ (pow B 2) (pow C 2)))))> |
#<alt (* C (+ 1 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (* 1/2 (/ (pow B 2) (pow C 2))))))> |
#<alt (* C (+ 1 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (+ (* 1/16 (/ (pow B 6) (pow C 6))) (* 1/2 (/ (pow B 2) (pow C 2)))))))> |
#<alt (* -1 C)> |
#<alt (* -1 (* C (+ 1 (* 1/2 (/ (pow B 2) (pow C 2))))))> |
#<alt (* -1 (* C (+ 1 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (* 1/2 (/ (pow B 2) (pow C 2)))))))> |
#<alt (* -1 (* C (+ 1 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (+ (* 1/16 (/ (pow B 6) (pow C 6))) (* 1/2 (/ (pow B 2) (pow C 2))))))))> |
#<alt (* -1 (+ 1 (/ A B)))> |
#<alt (- (/ C B) (+ 1 (/ A B)))> |
#<alt (- (* C (+ (* -1/2 (/ C (pow B 2))) (/ 1 B))) (+ 1 (/ A B)))> |
#<alt (- (* C (+ (* C (- (* 1/8 (/ (pow C 2) (pow B 4))) (* 1/2 (/ 1 (pow B 2))))) (/ 1 B))) (+ 1 (/ A B)))> |
#<alt (* -1 (/ A B))> |
#<alt (- (* -1/2 (/ B C)) (/ A B))> |
#<alt (- (* 1/8 (/ (pow B 3) (pow C 3))) (+ (* 1/2 (/ B C)) (/ A B)))> |
#<alt (- (* -1/16 (/ (pow B 5) (pow C 5))) (+ (* -1/8 (/ (pow B 3) (pow C 3))) (+ (* 1/2 (/ B C)) (/ A B))))> |
#<alt (* 2 (/ C B))> |
#<alt (* -1 (* C (- (/ A (* B C)) (* 2 (/ 1 B)))))> |
#<alt (* -1 (* C (- (* -1 (/ (+ (* -1 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B)))))> |
#<alt (* -1 (* C (- (* -1 (/ (+ (* -1 (/ A B)) (* -1 (/ (- (* 1/8 (/ (pow B 3) (pow C 2))) (* 1/2 B)) C))) C)) (* 2 (/ 1 B)))))> |
#<alt (- (/ C B) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))> |
#<alt (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))> |
#<alt (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))> |
#<alt (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))> |
#<alt (* -1 (/ A B))> |
#<alt (* A (- (/ C (* A B)) (+ (* (/ 1 (* A B)) (sqrt (+ (pow B 2) (pow C 2)))) (/ 1 B))))> |
#<alt (* A (- (/ C (* A B)) (+ (* (/ 1 (* A B)) (sqrt (+ (pow B 2) (pow C 2)))) (/ 1 B))))> |
#<alt (* A (- (/ C (* A B)) (+ (* (/ 1 (* A B)) (sqrt (+ (pow B 2) (pow C 2)))) (/ 1 B))))> |
#<alt (* -1 (/ A B))> |
#<alt (* -1 (* A (+ (* -1 (/ (- (/ C B) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) A)) (/ 1 B))))> |
#<alt (* -1 (* A (+ (* -1 (/ (- (/ C B) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) A)) (/ 1 B))))> |
#<alt (* -1 (* A (+ (* -1 (/ (- (/ C B) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) A)) (/ 1 B))))> |
#<alt (* -1 (/ A B))> |
#<alt (/ (- (* -1/2 (/ (pow B 2) C)) A) B)> |
#<alt (/ (- (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow C 3))) (* 1/2 (/ 1 C)))) A) B)> |
#<alt (/ (- (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow C 5))) (* 1/8 (/ 1 (pow C 3))))) (* 1/2 (/ 1 C)))) A) B)> |
#<alt -1> |
#<alt (- (/ C B) (+ 1 (/ A B)))> |
#<alt (- (+ (* -1/2 (/ (pow C 2) (pow B 2))) (/ C B)) (+ 1 (/ A B)))> |
#<alt (- (+ (* 1/8 (/ (pow C 4) (pow B 4))) (/ C B)) (+ 1 (+ (* 1/2 (/ (pow C 2) (pow B 2))) (/ A B))))> |
#<alt 1> |
#<alt (- (+ 1 (/ C B)) (/ A B))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow C 2) B))) B)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (- (* -1/8 (/ (pow C 4) (pow B 2))) (* -1/2 (pow C 2))) B))) B)))> |
#<alt (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))> |
#<alt (/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))) (PI))> |
#<alt (/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))) (PI))> |
#<alt (/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))) (PI))> |
#<alt (/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))> |
#<alt (/ (atan (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))) (PI))> |
#<alt (/ (atan (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))) (PI))> |
#<alt (/ (atan (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))) (PI))> |
#<alt (/ (atan (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))> |
#<alt (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))) (PI)))> |
#<alt (* 180 (/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))) (PI)))> |
#<alt (* 180 (/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))) (PI)))> |
#<alt (* 180 (/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))) (PI)))> |
#<alt (* 180 (/ (atan (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))) (PI)))> |
#<alt (* 180 (/ (atan (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))) (PI)))> |
#<alt (* 180 (/ (atan (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI)))> |
87 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | A | @ | inf | (- (/ (- C A) B) (/ (sqrt (+ (* B B) (* C C))) B)) |
| 1.0ms | A | @ | 0 | (- (/ (- C A) B) (/ (sqrt (+ (* B B) (* C C))) B)) |
| 1.0ms | B | @ | inf | (/ (* 180 (atan (/ (* B -1/2) C))) (PI)) |
| 1.0ms | B | @ | -inf | (/ (PI) (atan (/ (* B -1/2) C))) |
| 1.0ms | B | @ | inf | (/ (PI) (atan (/ (* B -1/2) C))) |
| 1× | batch-egg-rewrite |
| 5 306× | lower-*.f32 |
| 5 290× | lower-*.f64 |
| 4 192× | lower-/.f32 |
| 4 174× | lower-/.f64 |
| 2 364× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 156 |
| 0 | 66 | 144 |
| 1 | 237 | 140 |
| 2 | 1812 | 140 |
| 0 | 8675 | 124 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.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))) |
(sqrt.f64 (PI.f64)) |
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) |
(PI.f64) |
(atan.f64 #s(literal 0 binary64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
(/.f64 (atan.f64 #s(literal 0 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 B #s(literal -1/2 binary64)) C))) (PI.f64)) |
(atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)))) |
(*.f64 #s(literal 180 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))))) |
(/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) |
(sqrt.f64 (fma.f64 B B (*.f64 C C))) |
(-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B)) |
(/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B))) (PI.f64))) |
| Outputs |
|---|
(+.f64 C (neg.f64 (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
(+.f64 C (+.f64 (neg.f64 A) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
(+.f64 C (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) |
(+.f64 (-.f64 C A) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) |
(+.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (-.f64 C A)) |
(+.f64 (*.f64 (-.f64 C A) #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (-.f64 C A)) (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
(-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) |
(-.f64 C (-.f64 A (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
(-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) |
(-.f64 (/.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 C A) (-.f64 C A) (*.f64 B B))) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) (/.f64 (*.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (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)))))) |
(-.f64 (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) (/.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)) (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
(fma.f64 (-.f64 C A) #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (-.f64 C A) (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
(fma.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (-.f64 C A)) |
(fma.f64 (*.f64 (fma.f64 A (+.f64 C A) (*.f64 C C)) (-.f64 C A)) (/.f64 #s(literal 1 binary64) (fma.f64 A (+.f64 C A) (*.f64 C C))) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) |
(fma.f64 (*.f64 (+.f64 C A) (-.f64 C A)) (/.f64 #s(literal 1 binary64) (+.f64 C A)) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) |
(fma.f64 (pow.f64 (*.f64 (fma.f64 A (+.f64 C A) (*.f64 C C)) (-.f64 C A)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A (+.f64 C A) (*.f64 C C))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) |
(fma.f64 (pow.f64 (*.f64 (+.f64 C A) (-.f64 C A)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 C A)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (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)))) (-.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)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (-.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (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)))) (-.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))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (-.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B 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))))) |
(/.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) (-.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)) (*.f64 (-.f64 C A) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))))) |
(/.f64 (-.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) |
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(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B))) (sqrt.f64 (PI.f64)))) (neg.f64 (sqrt.f64 (PI.f64)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (neg.f64 (cbrt.f64 (PI.f64)))) |
(pow.f64 (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 C 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 C C (*.f64 B B)))) B)) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B)) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 180 binary64))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 C 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 C C (*.f64 B B)))) B))) (/.f64 #s(literal 1 binary64) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64))) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B)) (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 C C (*.f64 B B)))) B)) (cbrt.f64 (PI.f64)))) |
| 1× | egg-herbie |
| 7 866× | lower-fma.f64 |
| 7 866× | lower-fma.f32 |
| 5 872× | lower-*.f64 |
| 5 872× | lower-*.f32 |
| 2 928× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 642 | 5908 |
| 1 | 1927 | 5441 |
| 2 | 5834 | 5396 |
| 0 | 8229 | 4739 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(- (* C (- 1 (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(- (* C (- (+ 1 (* -1/2 (* (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(- (* C (- (+ 1 (* C (- (* -1/2 (* (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow A 2) (pow B 2)))) (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(* -1 (+ A (* -1 A))) |
(- (* -1/2 (/ (pow B 2) C)) (+ A (* -1 A))) |
(- (* -1/2 (/ (* A (pow B 2)) (pow C 2))) (+ A (+ (* -1 A) (* 1/2 (/ (pow B 2) C))))) |
(- (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (pow C 3))) (+ A (+ (* -1 A) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 2))) (* 1/2 (/ (pow B 2) C)))))) |
(* 2 C) |
(* -1 (* C (- (* 2 (/ A C)) 2))) |
(* -1 (* C (- (* -1 (/ (- (* 1/2 (/ (pow B 2) C)) (* 2 A)) C)) 2))) |
(* -1 (* C (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C)) (* 2 A)) C)) 2))) |
(- C (sqrt (+ (pow B 2) (pow C 2)))) |
(- (+ C (* -1 (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(- (+ C (* A (- (* -1/2 (* (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(- (+ C (* A (- (* A (- (* -1/2 (* (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow B 2) (pow C 2)))) (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(* -2 A) |
(* A (- (/ C A) (+ 2 (* -1 (/ C A))))) |
(* A (- (+ (* -1/2 (/ (pow B 2) (pow A 2))) (/ C A)) (+ 2 (* -1 (/ C A))))) |
(* A (- (+ (* -1/2 (/ (* (pow B 2) C) (pow A 3))) (/ C A)) (+ 2 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(* 1/2 (/ (pow B 2) A)) |
(* -1 (/ (- (* -1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A)) |
(* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) A)) (* -1/2 (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(* -1/2 (/ (pow B 2) (- C A))) |
(* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A))))) |
(* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(* (pow B 2) (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow (- C A) 7))) (* 1/16 (/ 1 (pow (- C A) 5))))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(* -1 B) |
(* B (- (/ C B) (+ 1 (/ A B)))) |
(* B (- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B)))) |
(* B (- (+ (* 1/8 (/ (pow (- C A) 4) (pow B 4))) (/ C B)) (+ 1 (+ (* 1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B))))) |
B |
(* -1 (* B (- (* -1 (/ (- C A) B)) 1))) |
(* -1 (* B (- (* -1 (/ (- (+ C (* 1/2 (/ (pow (- C A) 2) B))) A) B)) 1))) |
(* -1 (* B (- (* -1 (/ (- (+ C (* -1 (/ (- (* 1/8 (/ (pow (- C A) 4) (pow B 2))) (* 1/2 (pow (- C A) 2))) B))) A) B)) 1))) |
(* -1/2 (/ B (- C A))) |
(* B (- (* 1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A))))) |
(* B (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(* B (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow (- C A) 7))) (* 1/16 (/ 1 (pow (- C A) 5))))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
-1 |
(- (/ C B) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- C A) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
1 |
(- (+ 1 (/ C B)) (/ A B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- C A) 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- C A) 4) (pow B 2))) (* 1/2 (pow (- C A) 2))) B))) B))) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(* -1 (/ (+ A (* -1 A)) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B) |
(- (+ (* -1 (/ (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* -1/2 (* (/ (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* A (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) B) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(* -2 (/ A B)) |
(* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* 180 (atan (* -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 (* -1/2 (/ 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))) |
(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))) (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)) |
(* 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))) |
(/ (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)))) |
C |
(+ C (* 1/2 (/ (pow B 2) C))) |
(+ C (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow C 3))) (* 1/2 (/ 1 C))))) |
(+ C (* (pow B 2) (+ (* (pow B 2) (- (* 1/16 (/ (pow B 2) (pow C 5))) (* 1/8 (/ 1 (pow C 3))))) (* 1/2 (/ 1 C))))) |
B |
(* B (+ 1 (* 1/2 (/ (pow C 2) (pow B 2))))) |
(* B (+ 1 (+ (* -1/8 (/ (pow C 4) (pow B 4))) (* 1/2 (/ (pow C 2) (pow B 2)))))) |
(* B (+ 1 (+ (* -1/8 (/ (pow C 4) (pow B 4))) (+ (* 1/16 (/ (pow C 6) (pow B 6))) (* 1/2 (/ (pow C 2) (pow B 2))))))) |
(* -1 B) |
(* -1 (* B (+ 1 (* 1/2 (/ (pow C 2) (pow B 2)))))) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow C 4) (pow B 4))) (* 1/2 (/ (pow C 2) (pow B 2))))))) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow C 4) (pow B 4))) (+ (* 1/16 (/ (pow C 6) (pow B 6))) (* 1/2 (/ (pow C 2) (pow B 2)))))))) |
B |
(+ B (* 1/2 (/ (pow C 2) B))) |
(+ B (* (pow C 2) (+ (* -1/8 (/ (pow C 2) (pow B 3))) (* 1/2 (/ 1 B))))) |
(+ B (* (pow C 2) (+ (* (pow C 2) (- (* 1/16 (/ (pow C 2) (pow B 5))) (* 1/8 (/ 1 (pow B 3))))) (* 1/2 (/ 1 B))))) |
C |
(* C (+ 1 (* 1/2 (/ (pow B 2) (pow C 2))))) |
(* C (+ 1 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (* 1/2 (/ (pow B 2) (pow C 2)))))) |
(* C (+ 1 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (+ (* 1/16 (/ (pow B 6) (pow C 6))) (* 1/2 (/ (pow B 2) (pow C 2))))))) |
(* -1 C) |
(* -1 (* C (+ 1 (* 1/2 (/ (pow B 2) (pow C 2)))))) |
(* -1 (* C (+ 1 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (* 1/2 (/ (pow B 2) (pow C 2))))))) |
(* -1 (* C (+ 1 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (+ (* 1/16 (/ (pow B 6) (pow C 6))) (* 1/2 (/ (pow B 2) (pow C 2)))))))) |
(* -1 (+ 1 (/ A B))) |
(- (/ C B) (+ 1 (/ A B))) |
(- (* C (+ (* -1/2 (/ C (pow B 2))) (/ 1 B))) (+ 1 (/ A B))) |
(- (* C (+ (* C (- (* 1/8 (/ (pow C 2) (pow B 4))) (* 1/2 (/ 1 (pow B 2))))) (/ 1 B))) (+ 1 (/ A B))) |
(* -1 (/ A B)) |
(- (* -1/2 (/ B C)) (/ A B)) |
(- (* 1/8 (/ (pow B 3) (pow C 3))) (+ (* 1/2 (/ B C)) (/ A B))) |
(- (* -1/16 (/ (pow B 5) (pow C 5))) (+ (* -1/8 (/ (pow B 3) (pow C 3))) (+ (* 1/2 (/ B C)) (/ A B)))) |
(* 2 (/ C B)) |
(* -1 (* C (- (/ A (* B C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -1 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -1 (/ A B)) (* -1 (/ (- (* 1/8 (/ (pow B 3) (pow C 2))) (* 1/2 B)) C))) C)) (* 2 (/ 1 B))))) |
(- (/ C B) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(* -1 (/ A B)) |
(* A (- (/ C (* A B)) (+ (* (/ 1 (* A B)) (sqrt (+ (pow B 2) (pow C 2)))) (/ 1 B)))) |
(* A (- (/ C (* A B)) (+ (* (/ 1 (* A B)) (sqrt (+ (pow B 2) (pow C 2)))) (/ 1 B)))) |
(* A (- (/ C (* A B)) (+ (* (/ 1 (* A B)) (sqrt (+ (pow B 2) (pow C 2)))) (/ 1 B)))) |
(* -1 (/ A B)) |
(* -1 (* A (+ (* -1 (/ (- (/ C B) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) A)) (/ 1 B)))) |
(* -1 (* A (+ (* -1 (/ (- (/ C B) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) A)) (/ 1 B)))) |
(* -1 (* A (+ (* -1 (/ (- (/ C B) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) A)) (/ 1 B)))) |
(* -1 (/ A B)) |
(/ (- (* -1/2 (/ (pow B 2) C)) A) B) |
(/ (- (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow C 3))) (* 1/2 (/ 1 C)))) A) B) |
(/ (- (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow C 5))) (* 1/8 (/ 1 (pow C 3))))) (* 1/2 (/ 1 C)))) A) B) |
-1 |
(- (/ C B) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow C 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(- (+ (* 1/8 (/ (pow C 4) (pow B 4))) (/ C B)) (+ 1 (+ (* 1/2 (/ (pow C 2) (pow B 2))) (/ A B)))) |
1 |
(- (+ 1 (/ C B)) (/ A B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow C 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (- (* -1/8 (/ (pow C 4) (pow B 2))) (* -1/2 (pow C 2))) B))) B))) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI)) |
(/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))) (PI)) |
(/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))) (PI)) |
(/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))) (PI)) |
(/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))) (PI)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI)) |
(/ (atan (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))) (PI)) |
(/ (atan (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))) (PI)) |
(/ (atan (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))) (PI)) |
(/ (atan (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))) (PI)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI)) |
(/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI)) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))) (PI))) |
(* 180 (/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))) (PI))) |
(* 180 (/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))) (PI))) |
(* 180 (/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))) (PI))) |
(* 180 (/ (atan (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))) (PI))) |
(* 180 (/ (atan (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))) (PI))) |
(* 180 (/ (atan (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))) |
| Outputs |
|---|
(* -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))))) |
(fma.f64 C (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))))) |
(- (* 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 C #s(literal -1/2 binary64)) (fma.f64 (neg.f64 A) (/.f64 A (fma.f64 A A (*.f64 B B))) #s(literal 1 binary64)) 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 A (*.f64 C (*.f64 (fma.f64 (neg.f64 A) (/.f64 A (fma.f64 A A (*.f64 B B))) #s(literal 1 binary64)) (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)))) (fma.f64 (neg.f64 A) (/.f64 A (fma.f64 A A (*.f64 B B))) #s(literal 1 binary64))))) (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 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) (fma.f64 A (/.f64 (*.f64 B B) (*.f64 C C)) (/.f64 (*.f64 B B) C)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 A A) (neg.f64 (*.f64 B B))) (*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/8 binary64))) (*.f64 C (*.f64 C C)))) |
(* 2 C) |
(*.f64 #s(literal 2 binary64) C) |
(* -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))) |
(*.f64 (+.f64 (/.f64 (fma.f64 B (*.f64 B (/.f64 #s(literal -1/2 binary64) C)) (*.f64 A #s(literal 2 binary64))) C) #s(literal -2 binary64)) (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))) C)) 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 A #s(literal -2 binary64)) |
(* A (- (/ C A) (+ 2 (* -1 (/ C A))))) |
(*.f64 A (+.f64 (/.f64 C A) (+.f64 #s(literal -2 binary64) (/.f64 C A)))) |
(* A (- (+ (* -1/2 (/ (pow B 2) (pow A 2))) (/ C A)) (+ 2 (* -1 (/ C A))))) |
(*.f64 A (+.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 B (/.f64 B (*.f64 A A))) (/.f64 C A)) (+.f64 #s(literal -2 binary64) (/.f64 C A)))) |
(* A (- (+ (* -1/2 (/ (* (pow B 2) C) (pow A 3))) (/ C A)) (+ 2 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(*.f64 A (fma.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) (/.f64 C (*.f64 A (*.f64 A A))) (+.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 B (/.f64 B (*.f64 A A))) (/.f64 C A)) (+.f64 #s(literal -2 binary64) (/.f64 C A))))) |
(* 1/2 (/ (pow B 2) A)) |
(/.f64 (*.f64 B (*.f64 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))) 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 #s(literal 1/4 binary64) (*.f64 (*.f64 B B) (*.f64 B B)) (*.f64 (*.f64 B B) (*.f64 C (neg.f64 C)))) A) (*.f64 B (*.f64 B C))) A) (*.f64 B (*.f64 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 B (*.f64 B #s(literal -1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (+.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) (*.f64 C #s(literal -1/2 binary64))) (*.f64 C (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 B B) (*.f64 B B)) (*.f64 (*.f64 B B) (*.f64 C (neg.f64 C)))))) A) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 B B) (*.f64 B B)))) (*.f64 B (*.f64 B (*.f64 C C)))) A) (*.f64 C (*.f64 (*.f64 B B) #s(literal -1/2 binary64)))) A)) (neg.f64 A)) |
(* -1/2 (/ (pow B 2) (- C A))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 B (/.f64 B (-.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 B (*.f64 B (/.f64 #s(literal 1/8 binary64) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))))) (/.f64 #s(literal -1/2 binary64) (-.f64 C A)))) |
(* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(*.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 B B) (pow.f64 (-.f64 C A) #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))))) (/.f64 #s(literal -1/2 binary64) (-.f64 C A)))) |
(* (pow B 2) (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow (- C A) 7))) (* 1/16 (/ 1 (pow (- C A) 5))))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(*.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 #s(literal 5/128 binary64) (/.f64 (*.f64 B B) (pow.f64 (-.f64 C A) #s(literal 7 binary64))) (/.f64 #s(literal -1/16 binary64) (pow.f64 (-.f64 C A) #s(literal 5 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))))) (/.f64 #s(literal -1/2 binary64) (-.f64 C A)))) |
(* -1 B) |
(neg.f64 B) |
(* B (- (/ C B) (+ 1 (/ A B)))) |
(*.f64 B (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) |
(* B (- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B)))) |
(*.f64 B (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 B B)) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) |
(* B (- (+ (* 1/8 (/ (pow (- C A) 4) (pow B 4))) (/ C B)) (+ 1 (+ (* 1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B))))) |
(*.f64 B (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))) |
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(/ (atan (* -1/2 (/ B C))) (PI)) |
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(/ (atan (* -1/2 (/ B C))) (PI)) |
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(/ (atan (* -1/2 (/ B C))) (PI)) |
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(/ (atan (* -1/2 (/ B C))) (PI)) |
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(/ (atan (* -1/2 (/ B C))) (PI)) |
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(/ (atan (* -1/2 (/ B C))) (PI)) |
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(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
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(/ (PI) (atan (* -1/2 (/ B C)))) |
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(/ (PI) (atan (* -1/2 (/ B C)))) |
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(/ (PI) (atan (* -1/2 (/ B C)))) |
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C |
(+ C (* 1/2 (/ (pow B 2) C))) |
(fma.f64 B (/.f64 (*.f64 B #s(literal 1/2 binary64)) C) C) |
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(+ C (* (pow B 2) (+ (* (pow B 2) (- (* 1/16 (/ (pow B 2) (pow C 5))) (* 1/8 (/ 1 (pow C 3))))) (* 1/2 (/ 1 C))))) |
(fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 B B) (pow.f64 C #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 C (*.f64 C C)))) (/.f64 #s(literal 1/2 binary64) C)) C) |
B |
(* B (+ 1 (* 1/2 (/ (pow C 2) (pow B 2))))) |
(fma.f64 B (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 C C)) (*.f64 B B)) B) |
(* B (+ 1 (+ (* -1/8 (/ (pow C 4) (pow B 4))) (* 1/2 (/ (pow C 2) (pow B 2)))))) |
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(* B (+ 1 (+ (* -1/8 (/ (pow C 4) (pow B 4))) (+ (* 1/16 (/ (pow C 6) (pow B 6))) (* 1/2 (/ (pow C 2) (pow B 2))))))) |
(fma.f64 B (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 C #s(literal 6 binary64)) (pow.f64 B #s(literal 6 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 C C) (*.f64 C C)) (*.f64 (*.f64 B B) (*.f64 B B))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 C C)) (*.f64 B B)))) B) |
(* -1 B) |
(neg.f64 B) |
(* -1 (* B (+ 1 (* 1/2 (/ (pow C 2) (pow B 2)))))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 C C) (*.f64 B B)) B) (neg.f64 B)) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow C 4) (pow B 4))) (* 1/2 (/ (pow C 2) (pow B 2))))))) |
(*.f64 (neg.f64 B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 C C) (*.f64 B B)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 C C) (*.f64 C C)) (*.f64 (*.f64 B B) (*.f64 B B))) #s(literal 1 binary64)))) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow C 4) (pow B 4))) (+ (* 1/16 (/ (pow C 6) (pow B 6))) (* 1/2 (/ (pow C 2) (pow B 2)))))))) |
(neg.f64 (fma.f64 B (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 C #s(literal 6 binary64)) (pow.f64 B #s(literal 6 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 C C) (*.f64 C C)) (*.f64 (*.f64 B B) (*.f64 B B))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 C C)) (*.f64 B B)))) B)) |
B |
(+ B (* 1/2 (/ (pow C 2) B))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 C C) B) B) |
(+ B (* (pow C 2) (+ (* -1/8 (/ (pow C 2) (pow B 3))) (* 1/2 (/ 1 B))))) |
(fma.f64 (*.f64 C C) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 C C) (*.f64 B (*.f64 B B))) (/.f64 #s(literal 1/2 binary64) B)) B) |
(+ B (* (pow C 2) (+ (* (pow C 2) (- (* 1/16 (/ (pow C 2) (pow B 5))) (* 1/8 (/ 1 (pow B 3))))) (* 1/2 (/ 1 B))))) |
(fma.f64 (*.f64 C C) (fma.f64 C (*.f64 C (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 C C) (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) |
C |
(* C (+ 1 (* 1/2 (/ (pow B 2) (pow C 2))))) |
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(* C (+ 1 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (* 1/2 (/ (pow B 2) (pow C 2)))))) |
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(* C (+ 1 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (+ (* 1/16 (/ (pow B 6) (pow C 6))) (* 1/2 (/ (pow B 2) (pow C 2))))))) |
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(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B)))) (PI.f64)) |
(* 180 (/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B)))) (PI.f64)) |
(* 180 (/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B)))) (PI.f64)) |
(* 180 (/ (atan (- (* -1 (/ (+ A (* -1 C)) B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B)))) (PI.f64)) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B)))) (PI.f64)) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B)))) (PI.f64)) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B)))) (PI.f64)) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B)))) (PI.f64)) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B)))) (PI.f64)) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B)))) (PI.f64)) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B)))) (PI.f64)) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B)))) (PI.f64)) |
(* 180 (/ (atan (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B)))) (PI.f64)) |
(* 180 (/ (atan (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B)))) (PI.f64)) |
(* 180 (/ (atan (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B)))) (PI.f64)) |
(* 180 (/ (atan (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B)))) (PI.f64)) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B)))) (PI.f64)) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B)))) (PI.f64)) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B)))) (PI.f64)) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B)))) (PI.f64)) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B)))) (PI.f64)) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B)))) (PI.f64)) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B)))) (PI.f64)) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B)))) (PI.f64)) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B)))) (PI.f64)) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B)))) (PI.f64)) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B)))) (PI.f64)) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))) (/ A B)))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B)))) (PI.f64)) |
Compiled 38 585 to 5 075 computations (86.8% saved)
31 alts after pruning (24 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 415 | 10 | 1 425 |
| Fresh | 7 | 14 | 21 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 423 | 31 | 1 454 |
| Status | Accuracy | Program |
|---|---|---|
| 51.3% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B))) (PI.f64)) | |
| ▶ | 23.2% | (/.f64 (*.f64 #s(literal 180 binary64) (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))))) |
| ✓ | 23.3% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (PI.f64)) |
| 23.1% | (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/180 binary64) (/.f64 (PI.f64) (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C)))))) | |
| 23.1% | (*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 #s(literal 180 binary64) (cbrt.f64 (PI.f64)))) | |
| 23.3% | (*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) #s(literal 180 binary64)) | |
| 23.3% | (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C)))) | |
| 53.4% | (*.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)))) | |
| 14.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 C A) B) (/.f64 (-.f64 C A) B)) (*.f64 (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)))) (PI.f64))) | |
| ▶ | 44.2% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 B B (*.f64 A A)))) B)) (PI.f64))) |
| 44.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) (PI.f64))) | |
| 25.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) | |
| 25.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) | |
| ✓ | 22.7% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) |
| 24.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 A (neg.f64 B))) (PI.f64))) | |
| 23.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 C B))) (PI.f64))) | |
| 19.5% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (fma.f64 B (/.f64 (*.f64 B #s(literal 1/2 binary64)) C) C) B))) (PI.f64))) | |
| ✓ | 50.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B))) (PI.f64))) |
| 42.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 (/.f64 (neg.f64 A) B) (/.f64 (sqrt.f64 (fma.f64 A A (*.f64 B B))) B))) (PI.f64))) | |
| 39.6% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal -1 binary64) (/.f64 A B))) (PI.f64))) | |
| ▶ | 50.7% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))) |
| ▶ | 76.3% | (*.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)))) (*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64)))))) |
| 74.4% | (*.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)))) (*.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))))) | |
| ✓ | 76.3% | (*.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)))) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) |
| ✓ | 77.3% | (*.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))) |
| 37.2% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) (-.f64 C A)))) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) | |
| 37.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) (-.f64 C A)))) (PI.f64))) | |
| ▶ | 23.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) |
| ✓ | 12.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
| ✓ | 20.0% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
| 23.1% | (*.f64 #s(literal 180 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C)))) (PI.f64)))) |
Compiled 1 099 to 755 computations (31.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | 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 | 0 | (/.f64 (*.f64 #s(literal 180 binary64) (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))))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 B B (*.f64 A A)))) B) |
| ✓ | cost-diff | 0 | (atan.f64 (/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 B B (*.f64 A A)))) B)) |
| ✓ | cost-diff | 0 | (/.f64 (atan.f64 (/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 B B (*.f64 A A)))) B)) (PI.f64)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 B B (*.f64 A A)))) B)) (PI.f64))) |
| ✓ | 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 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 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64)))))) |
| ✓ | cost-diff | 64 | (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) |
| ✓ | 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) |
| 5 376× | lower-fma.f32 |
| 5 374× | lower-fma.f64 |
| 1 442× | lower-*.f32 |
| 1 416× | lower-*.f64 |
| 1 092× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 367 |
| 0 | 92 | 363 |
| 1 | 147 | 355 |
| 2 | 250 | 355 |
| 3 | 489 | 355 |
| 4 | 1045 | 355 |
| 5 | 1905 | 355 |
| 6 | 2975 | 355 |
| 7 | 4311 | 355 |
| 8 | 5118 | 355 |
| 9 | 5288 | 355 |
| 10 | 5341 | 355 |
| 11 | 5370 | 355 |
| 12 | 5392 | 355 |
| 13 | 5566 | 355 |
| 14 | 5628 | 355 |
| 15 | 5630 | 355 |
| 16 | 5630 | 355 |
| 17 | 5678 | 355 |
| 18 | 5946 | 355 |
| 19 | 5998 | 355 |
| 20 | 6002 | 355 |
| 21 | 6002 | 355 |
| 22 | 6002 | 355 |
| 0 | 6002 | 331 |
| 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) (hypot.f64 (-.f64 C A) B)))) (*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (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)))) (*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (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) |
(*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) |
(pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) |
(*.f64 (PI.f64) (PI.f64)) |
(PI.f64) |
(sqrt.f64 (PI.f64)) |
#s(literal 1/3 binary64) |
(cbrt.f64 (sqrt.f64 (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 #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 (neg.f64 A) (sqrt.f64 (fma.f64 B B (*.f64 A A)))) B)) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 (/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 B B (*.f64 A A)))) B)) (PI.f64)) |
(atan.f64 (/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 B B (*.f64 A A)))) B)) |
(/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 B B (*.f64 A A)))) B) |
(-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 B B (*.f64 A A)))) |
(neg.f64 A) |
A |
(sqrt.f64 (fma.f64 B B (*.f64 A A))) |
(fma.f64 B B (*.f64 A A)) |
B |
(*.f64 A A) |
(PI.f64) |
(/.f64 (*.f64 #s(literal 180 binary64) (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))))) |
(*.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 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) |
(*.f64 (PI.f64) (sqrt.f64 (PI.f64))) |
(PI.f64) |
(sqrt.f64 (PI.f64)) |
(sqrt.f64 (sqrt.f64 (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)))) (*.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 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B))) (*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (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)))) (*.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 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64))))) |
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) |
(/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B) |
(/.f64 #s(literal 1 binary64) B) |
#s(literal 1 binary64) |
B |
(-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)) |
(-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) |
(-.f64 C A) |
C |
A |
(hypot.f64 (-.f64 C A) B) |
(sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) |
(*.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 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64)))) |
(pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) |
(cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) |
(*.f64 (PI.f64) (PI.f64)) |
(PI.f64) |
(sqrt.f64 (PI.f64)) |
#s(literal 1/3 binary64) |
(cbrt.f64 (sqrt.f64 (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 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (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 (neg.f64 A) (sqrt.f64 (fma.f64 B B (*.f64 A A)))) B)) (PI.f64))) |
(*.f64 (atan.f64 (neg.f64 (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
#s(literal 180 binary64) |
(/.f64 (atan.f64 (/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 B B (*.f64 A A)))) B)) (PI.f64)) |
(/.f64 (atan.f64 (neg.f64 (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) B))) (PI.f64)) |
(atan.f64 (/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 B B (*.f64 A A)))) B)) |
(atan.f64 (neg.f64 (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) B))) |
(/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 B B (*.f64 A A)))) B) |
(neg.f64 (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) B)) |
(-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 B B (*.f64 A A)))) |
(-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) |
(neg.f64 A) |
A |
(sqrt.f64 (fma.f64 B B (*.f64 A A))) |
(sqrt.f64 (fma.f64 A A (*.f64 B B))) |
(fma.f64 B B (*.f64 A A)) |
(fma.f64 A A (*.f64 B B)) |
B |
(*.f64 A A) |
(PI.f64) |
(/.f64 (*.f64 #s(literal 180 binary64) (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))))) |
(*.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 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) |
(*.f64 (PI.f64) (sqrt.f64 (PI.f64))) |
(PI.f64) |
(sqrt.f64 (PI.f64)) |
(sqrt.f64 (sqrt.f64 (PI.f64))) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (/.f64 (*.f64 #s(literal 180 binary64) (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))))) |
| ✓ | accuracy | 99.6% | (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) |
| ✓ | accuracy | 98.4% | (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
| ✓ | accuracy | 98.4% | (sqrt.f64 (PI.f64)) |
| ✓ | accuracy | 99.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 B B (*.f64 A A)))) B)) (PI.f64))) |
| ✓ | accuracy | 93.7% | (/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 B B (*.f64 A A)))) B) |
| ✓ | accuracy | 88.9% | (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 B B (*.f64 A A)))) |
| ✓ | accuracy | 51.3% | (sqrt.f64 (fma.f64 B B (*.f64 A A))) |
| ✓ | accuracy | 100.0% | (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64)) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 C A) B) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)) |
| ✓ | 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 (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 | 98.4% | (*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) |
| ✓ | accuracy | 98.4% | (sqrt.f64 (PI.f64)) |
| ✓ | accuracy | 91.6% | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) |
| ✓ | accuracy | 85.8% | (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)) |
| 62.0ms | 162× | 0 | valid |
| 58.0ms | 62× | 2 | valid |
| 21.0ms | 32× | 1 | valid |
Compiled 418 to 51 computations (87.8% saved)
ival-mult: 23.0ms (21.9% of total)ival-div: 21.0ms (20% of total)ival-hypot: 14.0ms (13.4% of total)adjust: 12.0ms (11.4% of total)ival-atan: 10.0ms (9.5% of total)ival-sqrt: 7.0ms (6.7% of total)ival-sub: 5.0ms (4.8% of total)const: 4.0ms (3.8% of total)ival-add: 4.0ms (3.8% of total)ival-cbrt: 3.0ms (2.9% of total)ival-pi: 1.0ms (1% of total)ival-neg: 1.0ms (1% 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 C A) (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 (sqrt.f64 (PI.f64))> |
#<alt (*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))))> |
#<alt (PI.f64)> |
#<alt (atan.f64 #s(literal 1 binary64))> |
#<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 (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64)))> |
#<alt (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))> |
#<alt (/.f64 (-.f64 C A) B)> |
#<alt (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))> |
#<alt (sqrt.f64 (fma.f64 B B (*.f64 A A)))> |
#<alt (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 B B (*.f64 A A))))> |
#<alt (/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 B B (*.f64 A A)))) B)> |
#<alt (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 B B (*.f64 A A)))) B)) (PI.f64)))> |
#<alt (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (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 B #s(literal -1/2 binary64)) C))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))> |
| Outputs |
|---|
#<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 (* -1/2 (/ (pow B 2) (- C A)))> |
#<alt (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A)))))> |
#<alt (* (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)))))> |
#<alt (* (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)))))> |
#<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 (/ B (- C A)))> |
#<alt (* B (- (* 1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A)))))> |
#<alt (* B (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A)))))> |
#<alt (* B (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow (- C A) 7))) (* 1/16 (/ 1 (pow (- C A) 5))))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A)))))> |
#<alt -1> |
#<alt (- (/ C B) (+ 1 (/ A B)))> |
#<alt (- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B)))> |
#<alt (- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- C A) 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 (- C A) 2) B))) B)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- C A) 4) (pow B 2))) (* 1/2 (pow (- C A) 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)))))))))> |
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#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (atan (* -1/2 (/ B C))))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
#<alt (* 180 (/ (atan (* -1/2 (/ B C))) (PI)))> |
90 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | A | @ | inf | (* 180 (/ (atan (/ (- (neg A) (sqrt (+ (* B B) (* A A)))) B)) (PI))) |
| 9.0ms | B | @ | -inf | (/ (- C A) B) |
| 1.0ms | A | @ | -inf | (* 180 (/ (atan (/ (- (neg A) (sqrt (+ (* B B) (* A A)))) B)) (PI))) |
| 1.0ms | B | @ | inf | (* 180 (/ (atan (/ (- (neg A) (sqrt (+ (* B B) (* A A)))) B)) (PI))) |
| 1.0ms | A | @ | -inf | (* 180 (/ (atan (+ 1 (/ (- C A) B))) (PI))) |
| 1× | batch-egg-rewrite |
| 4 956× | lower-*.f32 |
| 4 932× | lower-*.f64 |
| 3 342× | lower-/.f32 |
| 3 326× | lower-/.f64 |
| 2 624× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 164 |
| 0 | 86 | 174 |
| 1 | 290 | 135 |
| 2 | 1991 | 135 |
| 0 | 8159 | 119 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.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))) |
(sqrt.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)))) |
(PI.f64) |
(atan.f64 #s(literal 1 binary64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) |
(/.f64 (atan.f64 #s(literal 1 binary64)) (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 1 binary64) (/.f64 (-.f64 C A) B)) |
(/.f64 (-.f64 C A) B) |
(/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64)) |
(sqrt.f64 (fma.f64 B B (*.f64 A A))) |
(-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 B B (*.f64 A A)))) |
(/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 B B (*.f64 A A)))) B) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 B B (*.f64 A A)))) B)) (PI.f64))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (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 B #s(literal -1/2 binary64)) C))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))) |
| Outputs |
|---|
(+.f64 C (neg.f64 (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
(+.f64 C (+.f64 (neg.f64 A) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
(+.f64 C (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) |
(+.f64 (-.f64 C A) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) |
(+.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (-.f64 C A)) |
(+.f64 (*.f64 (-.f64 C A) #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (-.f64 C A)) (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
(-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) |
(-.f64 C (-.f64 A (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
(-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) |
(-.f64 (/.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 C A) (-.f64 C A) (*.f64 B B))) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) (/.f64 (*.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (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)))))) |
(-.f64 (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) (/.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)) (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
(fma.f64 (-.f64 C A) #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (-.f64 C A) (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
(fma.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (-.f64 C A)) |
(fma.f64 (fma.f64 C (*.f64 C C) (*.f64 A (*.f64 A A))) (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 A (+.f64 C A)))) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) |
(fma.f64 (*.f64 (+.f64 C A) (-.f64 C A)) (/.f64 #s(literal 1 binary64) (+.f64 C A)) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) |
(fma.f64 (pow.f64 (fma.f64 C (*.f64 C C) (*.f64 A (*.f64 A A))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 A (+.f64 C A)))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) |
(fma.f64 (pow.f64 (*.f64 (+.f64 C A) (-.f64 C A)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 C A)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (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)))) (-.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)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (-.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B 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))))) |
(/.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) (-.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)) (*.f64 (-.f64 C A) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))))) |
(/.f64 (-.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) |
(/.f64 (-.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) (-.f64 (-.f64 C A) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.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))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) |
(/.f64 (neg.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))))) (neg.f64 (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)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (neg.f64 (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
(/.f64 (-.f64 (*.f64 C (*.f64 C C)) (*.f64 (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (*.f64 (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))))) (fma.f64 C C (fma.f64 (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (*.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))))) |
(/.f64 (-.f64 (*.f64 C C) (*.f64 (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) (+.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (-.f64 C A) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 B B) (-.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))))))) (*.f64 (/.f64 (fma.f64 C C (*.f64 A (+.f64 C A))) (fma.f64 C (*.f64 C C) (*.f64 A (*.f64 A A)))) (sqrt.f64 (fma.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 B B) (*.f64 (*.f64 B B) (*.f64 B B))))))) (*.f64 (/.f64 (fma.f64 C C (*.f64 A (+.f64 C A))) (fma.f64 C (*.f64 C C) (*.f64 A (*.f64 A A)))) (sqrt.f64 (fma.f64 (-.f64 C A) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 B B) (-.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A)))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (-.f64 C A) B) (-.f64 (-.f64 C A) B)))) (*.f64 (/.f64 (fma.f64 C C (*.f64 A (+.f64 C A))) (fma.f64 C (*.f64 C C) (*.f64 A (*.f64 A A)))) (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)))))) (*.f64 (/.f64 (fma.f64 C C (*.f64 A (+.f64 C A))) (fma.f64 C (*.f64 C C) (*.f64 A (*.f64 A A)))) (sqrt.f64 (*.f64 (+.f64 (-.f64 C A) B) (-.f64 (-.f64 C A) B))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (-.f64 C A) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 B B) (-.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))))))) (*.f64 (/.f64 (+.f64 C A) (*.f64 (+.f64 C A) (-.f64 C A))) (sqrt.f64 (fma.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 B B) (*.f64 (*.f64 B B) (*.f64 B B))))))) (*.f64 (/.f64 (+.f64 C A) (*.f64 (+.f64 C A) (-.f64 C A))) (sqrt.f64 (fma.f64 (-.f64 C A) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 B B) (-.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A)))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (-.f64 C A) B) (-.f64 (-.f64 C A) B)))) (*.f64 (/.f64 (+.f64 C A) (*.f64 (+.f64 C A) (-.f64 C A))) (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)))))) (*.f64 (/.f64 (+.f64 C A) (*.f64 (+.f64 C A) (-.f64 C A))) (sqrt.f64 (*.f64 (+.f64 (-.f64 C A) B) (-.f64 (-.f64 C A) B))))) |
(/.f64 (-.f64 (*.f64 (fma.f64 C (*.f64 C C) (*.f64 A (*.f64 A A))) (sqrt.f64 (fma.f64 (-.f64 C A) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 B B) (-.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))))))) (*.f64 (fma.f64 C C (*.f64 A (+.f64 C A))) (sqrt.f64 (fma.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 B B) (*.f64 (*.f64 B B) (*.f64 B B))))))) (*.f64 (fma.f64 C C (*.f64 A (+.f64 C A))) (sqrt.f64 (fma.f64 (-.f64 C A) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 B B) (-.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A)))))))) |
(/.f64 (-.f64 (*.f64 (fma.f64 C (*.f64 C C) (*.f64 A (*.f64 A A))) (sqrt.f64 (*.f64 (+.f64 (-.f64 C A) B) (-.f64 (-.f64 C A) B)))) (*.f64 (fma.f64 C C (*.f64 A (+.f64 C A))) (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)))))) (*.f64 (fma.f64 C C (*.f64 A (+.f64 C A))) (sqrt.f64 (*.f64 (+.f64 (-.f64 C A) B) (-.f64 (-.f64 C A) B))))) |
(/.f64 (-.f64 (*.f64 (fma.f64 C (*.f64 C C) (*.f64 A (*.f64 A A))) (sqrt.f64 (fma.f64 (-.f64 C A) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 B B) (-.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))))))) (*.f64 (fma.f64 C C (-.f64 (*.f64 A A) (*.f64 C (neg.f64 A)))) (sqrt.f64 (fma.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 B B) (*.f64 (*.f64 B B) (*.f64 B B))))))) (*.f64 (fma.f64 C C (-.f64 (*.f64 A A) (*.f64 C (neg.f64 A)))) (sqrt.f64 (fma.f64 (-.f64 C A) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 B B) (-.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A)))))))) |
(/.f64 (-.f64 (*.f64 (fma.f64 C (*.f64 C C) (*.f64 A (*.f64 A A))) (sqrt.f64 (*.f64 (+.f64 (-.f64 C A) B) (-.f64 (-.f64 C A) B)))) (*.f64 (fma.f64 C C (-.f64 (*.f64 A A) (*.f64 C (neg.f64 A)))) (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)))))) (*.f64 (fma.f64 C C (-.f64 (*.f64 A A) (*.f64 C (neg.f64 A)))) (sqrt.f64 (*.f64 (+.f64 (-.f64 C A) B) (-.f64 (-.f64 C A) B))))) |
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(PI.f64) |
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(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C A)) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 C A)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (-.f64 C A)) (/.f64 #s(literal 1 binary64) (neg.f64 B))) |
(*.f64 (*.f64 (-.f64 C A) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) B)) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 C A)) (/.f64 #s(literal 1 binary64) B)) |
(*.f64 (pow.f64 (/.f64 B (fma.f64 C (*.f64 C C) (*.f64 A (*.f64 A A)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 A (+.f64 C A))))) |
(*.f64 (pow.f64 (/.f64 B (*.f64 (+.f64 C A) (-.f64 C A))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 C A))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (neg.f64 (PI.f64)))) |
(neg.f64 (/.f64 (neg.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))))) |
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(/.f64 (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) #s(literal 1 binary64)) (PI.f64)) |
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(pow.f64 (/.f64 (PI.f64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (PI.f64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
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(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 A A (*.f64 B B))))) |
(hypot.f64 A B) |
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(hypot.f64 A (exp.f64 (log.f64 B))) |
(hypot.f64 B A) |
(hypot.f64 B (neg.f64 A)) |
(hypot.f64 B (exp.f64 (log.f64 A))) |
(hypot.f64 (neg.f64 A) B) |
(hypot.f64 (neg.f64 A) (neg.f64 B)) |
(hypot.f64 (neg.f64 A) (exp.f64 (log.f64 B))) |
(hypot.f64 (neg.f64 B) A) |
(hypot.f64 (neg.f64 B) (neg.f64 A)) |
(hypot.f64 (neg.f64 B) (exp.f64 (log.f64 A))) |
(hypot.f64 (exp.f64 (log.f64 B)) A) |
(hypot.f64 (exp.f64 (log.f64 B)) (neg.f64 A)) |
(hypot.f64 (exp.f64 (log.f64 B)) (exp.f64 (log.f64 A))) |
(hypot.f64 (exp.f64 (log.f64 A)) B) |
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(pow.f64 (sqrt.f64 (fma.f64 A A (*.f64 B B))) #s(literal 1 binary64)) |
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(*.f64 (sqrt.f64 (fma.f64 (*.f64 A A) (*.f64 A (*.f64 A (*.f64 A A))) (*.f64 (*.f64 B B) (*.f64 (*.f64 B B) (*.f64 B B))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B (*.f64 B (*.f64 B B)) (*.f64 (*.f64 A A) (-.f64 (*.f64 A A) (*.f64 B B))))))) |
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(fma.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 A A (*.f64 B B))) (neg.f64 A)) |
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(/.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)))))))) |
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(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 A A)) (sqrt.f64 (fma.f64 B (*.f64 B (*.f64 B B)) (*.f64 (*.f64 A A) (-.f64 (*.f64 A A) (*.f64 B B)))))) (*.f64 (+.f64 #s(literal 0 binary64) A) (sqrt.f64 (fma.f64 (*.f64 A A) (*.f64 A (*.f64 A (*.f64 A A))) (*.f64 (*.f64 B B) (*.f64 (*.f64 B B) (*.f64 B B))))))) (*.f64 (+.f64 #s(literal 0 binary64) A) (sqrt.f64 (fma.f64 B (*.f64 B (*.f64 B B)) (*.f64 (*.f64 A A) (-.f64 (*.f64 A A) (*.f64 B B))))))) |
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(pow.f64 (/.f64 (fma.f64 A A (fma.f64 (sqrt.f64 (fma.f64 A A (*.f64 B B))) (neg.f64 A) (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)) |
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(/.f64 (*.f64 (/.f64 #s(literal 180 binary64) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
(/.f64 (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (sqrt.f64 (sqrt.f64 (PI.f64))))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) |
(/.f64 (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) |
(pow.f64 (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 #s(literal 180 binary64) (PI.f64)))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 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) (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.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 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) #s(literal -180 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (PI.f64)))) |
(*.f64 (/.f64 #s(literal 180 binary64) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (sqrt.f64 (sqrt.f64 (PI.f64))))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 180 binary64) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) |
(*.f64 (/.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 1 binary64) (PI.f64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 (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) (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (/.f64 #s(literal 180 binary64) (sqrt.f64 (sqrt.f64 (PI.f64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (pow.f64 (/.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 180 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 180 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) #s(literal -1 binary64))) |
| 1× | egg-herbie |
| 7 708× | lower-fma.f64 |
| 7 708× | lower-fma.f32 |
| 5 450× | lower-*.f64 |
| 5 450× | lower-*.f32 |
| 4 340× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 744 | 5345 |
| 1 | 2169 | 5209 |
| 2 | 6443 | 5164 |
| 0 | 8208 | 4763 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(- (* C (- 1 (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(- (* C (- (+ 1 (* -1/2 (* (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(- (* C (- (+ 1 (* C (- (* -1/2 (* (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow A 2) (pow B 2)))) (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(* -1 (+ A (* -1 A))) |
(- (* -1/2 (/ (pow B 2) C)) (+ A (* -1 A))) |
(- (* -1/2 (/ (* A (pow B 2)) (pow C 2))) (+ A (+ (* -1 A) (* 1/2 (/ (pow B 2) C))))) |
(- (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (pow C 3))) (+ A (+ (* -1 A) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 2))) (* 1/2 (/ (pow B 2) C)))))) |
(* 2 C) |
(* -1 (* C (- (* 2 (/ A C)) 2))) |
(* -1 (* C (- (* -1 (/ (- (* 1/2 (/ (pow B 2) C)) (* 2 A)) C)) 2))) |
(* -1 (* C (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C)) (* 2 A)) C)) 2))) |
(- C (sqrt (+ (pow B 2) (pow C 2)))) |
(- (+ C (* -1 (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(- (+ C (* A (- (* -1/2 (* (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(- (+ C (* A (- (* A (- (* -1/2 (* (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow B 2) (pow C 2)))) (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(* -2 A) |
(* A (- (/ C A) (+ 2 (* -1 (/ C A))))) |
(* A (- (+ (* -1/2 (/ (pow B 2) (pow A 2))) (/ C A)) (+ 2 (* -1 (/ C A))))) |
(* A (- (+ (* -1/2 (/ (* (pow B 2) C) (pow A 3))) (/ C A)) (+ 2 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(* 1/2 (/ (pow B 2) A)) |
(* -1 (/ (- (* -1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A)) |
(* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) A)) (* -1/2 (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(* -1/2 (/ (pow B 2) (- C A))) |
(* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A))))) |
(* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(* (pow B 2) (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow (- C A) 7))) (* 1/16 (/ 1 (pow (- C A) 5))))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(* -1 B) |
(* B (- (/ C B) (+ 1 (/ A B)))) |
(* B (- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B)))) |
(* B (- (+ (* 1/8 (/ (pow (- C A) 4) (pow B 4))) (/ C B)) (+ 1 (+ (* 1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B))))) |
B |
(* -1 (* B (- (* -1 (/ (- C A) B)) 1))) |
(* -1 (* B (- (* -1 (/ (- (+ C (* 1/2 (/ (pow (- C A) 2) B))) A) B)) 1))) |
(* -1 (* B (- (* -1 (/ (- (+ C (* -1 (/ (- (* 1/8 (/ (pow (- C A) 4) (pow B 2))) (* 1/2 (pow (- C A) 2))) B))) A) B)) 1))) |
(* -1/2 (/ B (- C A))) |
(* B (- (* 1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A))))) |
(* B (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(* B (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow (- C A) 7))) (* 1/16 (/ 1 (pow (- C A) 5))))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
-1 |
(- (/ C B) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- C A) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
1 |
(- (+ 1 (/ C B)) (/ A B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- C A) 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- C A) 4) (pow B 2))) (* 1/2 (pow (- C A) 2))) B))) B))) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(* -1 (/ (+ A (* -1 A)) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B) |
(- (+ (* -1 (/ (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* -1/2 (* (/ (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* A (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) B) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(* -2 (/ A B)) |
(* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (+ 1 (* -1 (/ (+ A (* -1 C)) B)))) (PI))) |
(* 180 (/ (atan (+ 1 (* -1 (/ (+ A (* -1 C)) B)))) (PI))) |
(* 180 (/ (atan (+ 1 (* -1 (/ (+ A (* -1 C)) B)))) (PI))) |
(* 180 (/ (atan (+ 1 (* -1 (/ (+ A (* -1 C)) B)))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (+ 1 (+ (* -1 (/ A B)) (/ C B)))) (PI))) |
(* 180 (/ (atan (+ 1 (+ (* -1 (/ A B)) (/ C B)))) (PI))) |
(* 180 (/ (atan (+ 1 (+ (* -1 (/ A B)) (/ C B)))) (PI))) |
(* 180 (/ (atan (+ 1 (+ (* -1 (/ A B)) (/ C B)))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(- 1 (/ A B)) |
(- (+ 1 (/ C B)) (/ A B)) |
(- (+ 1 (/ C B)) (/ A B)) |
(- (+ 1 (/ C B)) (/ A B)) |
(/ C B) |
(* C (- (+ (/ 1 B) (/ 1 C)) (/ A (* B C)))) |
(* C (- (+ (/ 1 B) (/ 1 C)) (/ A (* B C)))) |
(* C (- (+ (/ 1 B) (/ 1 C)) (/ A (* B C)))) |
(/ C B) |
(* -1 (* C (- (* -1 (/ (+ 1 (* -1 (/ A B))) C)) (/ 1 B)))) |
(* -1 (* C (- (* -1 (/ (+ 1 (* -1 (/ A B))) C)) (/ 1 B)))) |
(* -1 (* C (- (* -1 (/ (+ 1 (* -1 (/ A B))) C)) (/ 1 B)))) |
(+ 1 (/ C B)) |
(+ 1 (+ (* -1 (/ A B)) (/ C B))) |
(+ 1 (+ (* -1 (/ A B)) (/ C B))) |
(+ 1 (+ (* -1 (/ A B)) (/ C B))) |
(* -1 (/ A B)) |
(* A (- (+ (/ 1 A) (/ C (* A B))) (/ 1 B))) |
(* A (- (+ (/ 1 A) (/ C (* A B))) (/ 1 B))) |
(* A (- (+ (/ 1 A) (/ C (* A B))) (/ 1 B))) |
(* -1 (/ A B)) |
(* -1 (* A (+ (* -1 (/ (+ 1 (/ C B)) A)) (/ 1 B)))) |
(* -1 (* A (+ (* -1 (/ (+ 1 (/ C B)) A)) (/ 1 B)))) |
(* -1 (* A (+ (* -1 (/ (+ 1 (/ C B)) A)) (/ 1 B)))) |
(/ (- C A) B) |
(/ (- (+ B C) A) B) |
(/ (- (+ B C) A) B) |
(/ (- (+ B C) A) B) |
1 |
(- (+ 1 (/ C B)) (/ A B)) |
(- (+ 1 (/ C B)) (/ A B)) |
(- (+ 1 (/ C B)) (/ A B)) |
1 |
(- (+ 1 (/ C B)) (/ A B)) |
(- (+ 1 (/ C B)) (/ A B)) |
(- (+ 1 (/ C B)) (/ A 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) |
(/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI)) |
(/ (atan (+ 1 (* -1 (/ (+ A (* -1 C)) B)))) (PI)) |
(/ (atan (+ 1 (* -1 (/ (+ A (* -1 C)) B)))) (PI)) |
(/ (atan (+ 1 (* -1 (/ (+ A (* -1 C)) B)))) (PI)) |
(/ (atan (+ 1 (* -1 (/ (+ A (* -1 C)) B)))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI)) |
(/ (atan (+ 1 (+ (* -1 (/ A B)) (/ C B)))) (PI)) |
(/ (atan (+ 1 (+ (* -1 (/ A B)) (/ C B)))) (PI)) |
(/ (atan (+ 1 (+ (* -1 (/ A B)) (/ C B)))) (PI)) |
(/ (atan (+ 1 (+ (* -1 (/ A B)) (/ C B)))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI)) |
A |
(+ A (* 1/2 (/ (pow B 2) A))) |
(+ A (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow A 3))) (* 1/2 (/ 1 A))))) |
(+ A (* (pow B 2) (+ (* (pow B 2) (- (* 1/16 (/ (pow B 2) (pow A 5))) (* 1/8 (/ 1 (pow A 3))))) (* 1/2 (/ 1 A))))) |
B |
(* B (+ 1 (* 1/2 (/ (pow A 2) (pow B 2))))) |
(* B (+ 1 (+ (* -1/8 (/ (pow A 4) (pow B 4))) (* 1/2 (/ (pow A 2) (pow B 2)))))) |
(* B (+ 1 (+ (* -1/8 (/ (pow A 4) (pow B 4))) (+ (* 1/16 (/ (pow A 6) (pow B 6))) (* 1/2 (/ (pow A 2) (pow B 2))))))) |
(* -1 B) |
(* -1 (* B (+ 1 (* 1/2 (/ (pow A 2) (pow B 2)))))) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow A 4) (pow B 4))) (* 1/2 (/ (pow A 2) (pow B 2))))))) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow A 4) (pow B 4))) (+ (* 1/16 (/ (pow A 6) (pow B 6))) (* 1/2 (/ (pow A 2) (pow B 2)))))))) |
B |
(+ B (* 1/2 (/ (pow A 2) B))) |
(+ B (* (pow A 2) (+ (* -1/8 (/ (pow A 2) (pow B 3))) (* 1/2 (/ 1 B))))) |
(+ B (* (pow A 2) (+ (* (pow A 2) (- (* 1/16 (/ (pow A 2) (pow B 5))) (* 1/8 (/ 1 (pow B 3))))) (* 1/2 (/ 1 B))))) |
A |
(* A (+ 1 (* 1/2 (/ (pow B 2) (pow A 2))))) |
(* A (+ 1 (+ (* -1/8 (/ (pow B 4) (pow A 4))) (* 1/2 (/ (pow B 2) (pow A 2)))))) |
(* A (+ 1 (+ (* -1/8 (/ (pow B 4) (pow A 4))) (+ (* 1/16 (/ (pow B 6) (pow A 6))) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(* -1 A) |
(* -1 (* A (+ 1 (* 1/2 (/ (pow B 2) (pow A 2)))))) |
(* -1 (* A (+ 1 (+ (* -1/8 (/ (pow B 4) (pow A 4))) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(* -1 (* A (+ 1 (+ (* -1/8 (/ (pow B 4) (pow A 4))) (+ (* 1/16 (/ (pow B 6) (pow A 6))) (* 1/2 (/ (pow B 2) (pow A 2)))))))) |
(* -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))) |
-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))) |
(* 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 (* -1/2 (/ 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 (* -1/2 (/ 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))) |
| Outputs |
|---|
(* -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))))) |
(fma.f64 C (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))))) |
(- (* C (- (+ 1 (* -1/2 (* (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(fma.f64 C (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) C) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (fma.f64 A A (*.f64 B B)))) A) #s(literal 1 binary64)) (-.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 A (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (fma.f64 C (*.f64 #s(literal -1/2 binary64) (fma.f64 A (*.f64 C (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (fma.f64 A A (*.f64 B B)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 A A (*.f64 B B)) (*.f64 (fma.f64 A A (*.f64 B B)) (fma.f64 A A (*.f64 B B)))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (fma.f64 A A (*.f64 B B))))))) #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 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 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 B B) (*.f64 B B)) (*.f64 (neg.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))) |
(*.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))) |
(*.f64 (-.f64 #s(literal -2 binary64) (/.f64 (fma.f64 A #s(literal -2 binary64) (/.f64 (*.f64 B (*.f64 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))) |
(neg.f64 (*.f64 C (+.f64 (/.f64 (+.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))) C) #s(literal -2 binary64)))) |
(- 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 (*.f64 A (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 C C) (fma.f64 C C (*.f64 B B))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B)))) #s(literal -1/2 binary64)) (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 (*.f64 C (-.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 #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) (+.f64 (/.f64 C A) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) (*.f64 A 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 (*.f64 B B) (*.f64 (/.f64 C (*.f64 A (*.f64 A A))) #s(literal -1/2 binary64)) (/.f64 C A)) (-.f64 (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/2 binary64) (*.f64 A A)) #s(literal 2 binary64)) (/.f64 C A)))) |
(* 1/2 (/ (pow B 2) A)) |
(/.f64 (*.f64 B (*.f64 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 (/.f64 (*.f64 B 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 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 B B) (*.f64 B B)) (*.f64 (*.f64 C C) (*.f64 (neg.f64 B) B))) A) (*.f64 (*.f64 B B) C)) A) (*.f64 B (*.f64 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 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 B B) (*.f64 B B)) (*.f64 (*.f64 C C) (*.f64 (neg.f64 B) B))) (neg.f64 C) (*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) (*.f64 C #s(literal -1/2 binary64)))) A) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 B B) (*.f64 B B)))) (*.f64 B (*.f64 B (*.f64 C C)))) A) (*.f64 C (*.f64 (*.f64 B B) #s(literal -1/2 binary64)))) A)) (neg.f64 A)) |
(* -1/2 (/ (pow B 2) (- C A))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 B (/.f64 B (-.f64 C A)))) |
(* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A))))) |
(*.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/8 binary64) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A)))) (/.f64 #s(literal -1/2 binary64) (-.f64 C A)))) |
(* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(*.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 B B) (pow.f64 (-.f64 C A) #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))))) (/.f64 #s(literal -1/2 binary64) (-.f64 C A)))) |
(* (pow B 2) (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow (- C A) 7))) (* 1/16 (/ 1 (pow (- C A) 5))))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
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(* -1 B) |
(neg.f64 B) |
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(*.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))))) |
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B |
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(*.f64 B (/.f64 #s(literal -1/2 binary64) (-.f64 C A))) |
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-1 |
#s(literal -1 binary64) |
(- (/ C B) (+ 1 (/ A B))) |
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(- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
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(- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- C A) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
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1 |
#s(literal 1 binary64) |
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(* -1 (/ (+ A (* -1 A)) B)) |
#s(literal 0 binary64) |
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(/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B) |
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(* -2 (/ A B)) |
(*.f64 A (/.f64 #s(literal -2 binary64) B)) |
(* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
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(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
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(* 1/2 (/ B A)) |
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(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 B (/.f64 C A) B)) A) |
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(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) |
(* 180 (/ (atan (+ 1 (* -1 (/ (+ A (* -1 C)) B)))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) |
(* 180 (/ (atan (+ 1 (* -1 (/ (+ A (* -1 C)) B)))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) |
(* 180 (/ (atan (+ 1 (* -1 (/ (+ A (* -1 C)) B)))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) |
(* 180 (/ (atan (+ 1 (* -1 (/ (+ A (* -1 C)) B)))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
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(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
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(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
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(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
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(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) |
(* 180 (/ (atan (+ 1 (+ (* -1 (/ A B)) (/ C B)))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) |
(* 180 (/ (atan (+ 1 (+ (* -1 (/ A B)) (/ C B)))) (PI))) |
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B |
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(*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) |
(* 180 (atan (* -1/2 (/ B C)))) |
(*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) |
(* 180 (atan (* -1/2 (/ B C)))) |
(*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) |
(* 180 (atan (* -1/2 (/ B C)))) |
(*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) |
(* 180 (atan (* -1/2 (/ B C)))) |
(*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) |
(* 180 (atan (* -1/2 (/ B C)))) |
(*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) |
(* 180 (atan (* -1/2 (/ B C)))) |
(*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) |
(* 180 (atan (* -1/2 (/ B C)))) |
(*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) |
(* 180 (atan (* -1/2 (/ B C)))) |
(*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) |
(* 180 (atan (* -1/2 (/ B C)))) |
(*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) |
(* 180 (atan (* -1/2 (/ B C)))) |
(*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) |
(* 180 (atan (* -1/2 (/ B C)))) |
(*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) |
(* 180 (atan (* -1/2 (/ B C)))) |
(*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) |
(* 180 (atan (* -1/2 (/ B C)))) |
(*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) |
(* 180 (atan (* -1/2 (/ B C)))) |
(*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) |
(* 180 (atan (* -1/2 (/ B C)))) |
(*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) |
(* 180 (atan (* -1/2 (/ B C)))) |
(*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) |
(* 180 (atan (* -1/2 (/ B C)))) |
(*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) |
(* 180 (atan (* -1/2 (/ B C)))) |
(*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) |
(* 180 (atan (* -1/2 (/ B C)))) |
(*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) |
(* 180 (atan (* -1/2 (/ B C)))) |
(*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (* -1/2 (/ B C))) (PI))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
Compiled 43 050 to 6 152 computations (85.7% saved)
38 alts after pruning (27 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 563 | 11 | 1 574 |
| Fresh | 3 | 16 | 19 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 7 | 7 |
| Total | 1 567 | 38 | 1 605 |
| Status | Accuracy | Program |
|---|---|---|
| 51.3% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B))) (PI.f64)) | |
| ✓ | 23.2% | (/.f64 (*.f64 #s(literal 180 binary64) (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))))) |
| ✓ | 23.3% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (PI.f64)) |
| 50.7% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) | |
| 23.1% | (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/180 binary64) (/.f64 (PI.f64) (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C)))))) | |
| 23.3% | (*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (/.f64 #s(literal 180 binary64) (sqrt.f64 (sqrt.f64 (PI.f64))))) | |
| 23.3% | (*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) #s(literal 180 binary64)) | |
| 23.3% | (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C)))) | |
| 53.4% | (*.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)))) | |
| 30.7% | (*.f64 #s(literal 180 binary64) (/.f64 (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))) | |
| 21.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (/.f64 (*.f64 B (*.f64 B #s(literal 1/2 binary64))) A) B)) (PI.f64))) | |
| 15.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (*.f64 (/.f64 A B) (/.f64 A B)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 A A (*.f64 B B))) B) (/.f64 (sqrt.f64 (fma.f64 A A (*.f64 B B))) B))) (+.f64 (/.f64 (neg.f64 A) B) (/.f64 (sqrt.f64 (fma.f64 A A (*.f64 B B))) B)))) (PI.f64))) | |
| 65.2% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (neg.f64 A) (hypot.f64 B A)) B)) (PI.f64))) | |
| ✓ | 44.2% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 B B (*.f64 A A)))) B)) (PI.f64))) |
| 44.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) (PI.f64))) | |
| 25.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) | |
| 25.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) | |
| ✓ | 22.7% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) |
| 24.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (neg.f64 A) B)) (PI.f64))) | |
| 22.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) | |
| 23.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 C B))) (PI.f64))) | |
| 19.5% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (fma.f64 B (/.f64 (*.f64 B #s(literal 1/2 binary64)) C) C) B))) (PI.f64))) | |
| ✓ | 50.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B))) (PI.f64))) |
| 42.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 (/.f64 (neg.f64 A) B) (/.f64 (sqrt.f64 (fma.f64 A A (*.f64 B B))) B))) (PI.f64))) | |
| 32.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 A A) B) A) B))) (PI.f64))) | |
| 42.2% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (PI.f64))) | |
| 39.6% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal -1 binary64) (/.f64 A B))) (PI.f64))) | |
| 40.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) | |
| ✓ | 76.3% | (*.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)))) (*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64)))))) |
| 74.4% | (*.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)))) (*.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))))) | |
| ✓ | 76.3% | (*.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)))) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) |
| ✓ | 77.3% | (*.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))) |
| 37.2% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) (-.f64 C A)))) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) | |
| 37.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) (-.f64 C A)))) (PI.f64))) | |
| ✓ | 23.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) |
| ✓ | 12.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
| ✓ | 20.0% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
| 23.1% | (*.f64 #s(literal 180 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C)))) (PI.f64)))) |
Compiled 1 595 to 797 computations (50% 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 #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 (neg.f64 A) 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 #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 (*.f64 #s(literal -2 binary64) (/.f64 A B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 A #s(literal -2 binary64)) 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 B (/.f64 #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 B #s(literal -1/2 binary64)) C))) (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 #s(literal -1/2 binary64) (/.f64 B C) #s(literal 0 binary64))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) (-.f64 C A)))) (PI.f64))) |
(*.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 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 #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)) C))))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/180 binary64) (/.f64 (PI.f64) (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C)))))) |
(*.f64 #s(literal 180 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C)))) (PI.f64)))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (/.f64 (*.f64 B (*.f64 B #s(literal 1/2 binary64))) A) 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 #s(literal 180 binary64) (/.f64 (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 #s(literal 180 binary64) (/.f64 (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 (neg.f64 A) (sqrt.f64 (fma.f64 B B (*.f64 A A)))) B)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (*.f64 #s(literal -1/2 binary64) (*.f64 B (/.f64 B (-.f64 C A)))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) (-.f64 C A)))) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 (/.f64 (neg.f64 A) B) (/.f64 (sqrt.f64 (fma.f64 A A (*.f64 B B))) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (fma.f64 B (/.f64 (*.f64 B #s(literal 1/2 binary64)) C) C) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (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 B #s(literal -1/2 binary64)) C))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B C) #s(literal 0 binary64))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (/.f64 #s(literal 180 binary64) (sqrt.f64 (sqrt.f64 (PI.f64))))) |
(*.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (neg.f64 A) (hypot.f64 B A)) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (*.f64 (/.f64 A B) (/.f64 A B)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 A A (*.f64 B B))) B) (/.f64 (sqrt.f64 (fma.f64 A A (*.f64 B B))) B))) (+.f64 (/.f64 (neg.f64 A) B) (/.f64 (sqrt.f64 (fma.f64 A A (*.f64 B B))) B)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 C A) B) (/.f64 (-.f64 C A) B)) (*.f64 (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)))) (PI.f64))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 #s(literal 180 binary64) (cbrt.f64 (PI.f64)))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
(*.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)))) (*.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 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (*.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))))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) (-.f64 C A)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64))) |
7 calls:
| 20.0ms | A |
| 16.0ms | C |
| 15.0ms | B |
| 15.0ms | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 14.0ms | (/.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 |
|---|---|---|
| 79.8% | 2 | A |
| 77.3% | 1 | B |
| 83.0% | 2 | C |
| 90.4% | 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))) |
| 90.4% | 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)) |
| 90.4% | 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))))))) |
| 90.4% | 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 #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 (neg.f64 A) 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 #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 (*.f64 #s(literal -2 binary64) (/.f64 A B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 A #s(literal -2 binary64)) 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 B (/.f64 #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 B #s(literal -1/2 binary64)) C))) (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 #s(literal -1/2 binary64) (/.f64 B C) #s(literal 0 binary64))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) (-.f64 C A)))) (PI.f64))) |
(*.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 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 #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)) C))))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/180 binary64) (/.f64 (PI.f64) (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C)))))) |
(*.f64 #s(literal 180 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C)))) (PI.f64)))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (/.f64 (*.f64 B (*.f64 B #s(literal 1/2 binary64))) A) 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 #s(literal 180 binary64) (/.f64 (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 #s(literal 180 binary64) (/.f64 (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 (neg.f64 A) (sqrt.f64 (fma.f64 B B (*.f64 A A)))) B)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (*.f64 #s(literal -1/2 binary64) (*.f64 B (/.f64 B (-.f64 C A)))))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) (-.f64 C A)))) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 (/.f64 (neg.f64 A) B) (/.f64 (sqrt.f64 (fma.f64 A A (*.f64 B B))) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (fma.f64 B (/.f64 (*.f64 B #s(literal 1/2 binary64)) C) C) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (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 B #s(literal -1/2 binary64)) C))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 B C) #s(literal 0 binary64))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (/.f64 #s(literal 180 binary64) (sqrt.f64 (sqrt.f64 (PI.f64))))) |
(*.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (neg.f64 A) (hypot.f64 B A)) B)) (PI.f64))) |
| Outputs |
|---|
(*.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 (*.f64 B (/.f64 #s(literal -1/2 binary64) (-.f64 C A)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))) |
5 calls:
| 15.0ms | C |
| 12.0ms | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| 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 |
|---|---|---|
| 79.4% | 3 | C |
| 81.9% | 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))) |
| 81.9% | 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)) |
| 81.9% | 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))))))) |
| 81.9% | 3 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
Compiled 97 to 68 computations (29.9% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(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 #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 (neg.f64 A) 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 #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 (*.f64 #s(literal -2 binary64) (/.f64 A B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 A #s(literal -2 binary64)) 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 B (/.f64 #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 B #s(literal -1/2 binary64)) C))) (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 #s(literal -1/2 binary64) (/.f64 B C) #s(literal 0 binary64))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) |
| Outputs |
|---|
(*.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 (/.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 (-.f64 C A) B))) (PI.f64))) |
7 calls:
| 10.0ms | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| 9.0ms | B |
| 7.0ms | A |
| 6.0ms | C |
| 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 |
|---|---|---|
| 61.9% | 2 | C |
| 68.2% | 3 | B |
| 61.8% | 2 | A |
| 74.5% | 3 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| 74.5% | 3 | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| 74.5% | 3 | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
| 74.5% | 3 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
Compiled 105 to 74 computations (29.5% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(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 #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 (neg.f64 A) 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 #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 (*.f64 #s(literal -2 binary64) (/.f64 A B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 A #s(literal -2 binary64)) 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 B (/.f64 #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 B #s(literal -1/2 binary64)) C))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))) |
| Outputs |
|---|
(*.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 (/.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 (-.f64 C A) B))) (PI.f64))) |
4 calls:
| 8.0ms | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| 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))))))) |
| 5.0ms | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.7% | 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))) |
| 70.7% | 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)) |
| 70.7% | 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))))))) |
| 70.7% | 3 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
Compiled 93 to 65 computations (30.1% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(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 #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 (neg.f64 A) 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 #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 (*.f64 #s(literal -2 binary64) (/.f64 A B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 A #s(literal -2 binary64)) 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 B (/.f64 #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 B #s(literal -1/2 binary64)) C))) (PI.f64)) |
| Outputs |
|---|
(*.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 (/.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 A B))) (PI.f64))) |
5 calls:
| 7.0ms | (*.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 | B |
| 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))))))) |
| 4.0ms | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.5% | 3 | B |
| 66.4% | 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)))))) |
| 66.4% | 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))) |
| 66.4% | 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)) |
| 66.4% | 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 #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 (neg.f64 A) 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 #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 (*.f64 #s(literal -2 binary64) (/.f64 A B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 A #s(literal -2 binary64)) B)) (PI.f64))) |
| Outputs |
|---|
(*.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 (*.f64 B (/.f64 #s(literal -1/2 binary64) C))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (PI.f64))) |
4 calls:
| 15.0ms | (/.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)) |
| 4.0ms | (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))))))) |
| 4.0ms | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 4.0ms | (*.f64 #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 |
|---|---|---|
| 66.0% | 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)))))) |
| 66.0% | 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))) |
| 66.0% | 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)) |
| 66.0% | 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 #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 (neg.f64 A) 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 #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 (*.f64 #s(literal -2 binary64) (/.f64 A B))) (PI.f64))) |
| Outputs |
|---|
(*.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 (+.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))) |
7 calls:
| 8.0ms | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| 4.0ms | C |
| 4.0ms | B |
| 4.0ms | A |
| 3.0ms | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.1% | 3 | B |
| 53.8% | 3 | A |
| 51.8% | 3 | C |
| 60.7% | 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)))))) |
| 60.7% | 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))) |
| 60.7% | 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)) |
| 60.7% | 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))))))) |
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 #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 (neg.f64 A) 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))) |
| 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))) |
5 calls:
| 4.0ms | B |
| 3.0ms | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
| 3.0ms | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 3.0ms | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| 3.0ms | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.5% | 3 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 59.5% | 3 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| 59.5% | 3 | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| 59.5% | 3 | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
| 58.4% | 2 | B |
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 #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 (neg.f64 A) 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 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
5 calls:
| 3.0ms | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 3.0ms | B |
| 3.0ms | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| 2.0ms | (*.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 |
|---|---|---|
| 51.3% | 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))) |
| 51.3% | 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)) |
| 51.3% | 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))))))) |
| 51.3% | 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)))))) |
| 54.0% | 2 | B |
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 #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 (neg.f64 A) 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))) |
7 calls:
| 9.0ms | C |
| 3.0ms | B |
| 3.0ms | 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)))))) |
| 2.0ms | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.4% | 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))) |
| 43.4% | 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)) |
| 43.4% | 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))))))) |
| 47.2% | 5 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 39.5% | 3 | C |
| 45.1% | 5 | A |
| 50.9% | 3 | B |
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))) |
| 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 |
|---|---|---|
| 46.4% | 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:
| 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 | A |
| 2.0ms | B |
| 1.0ms | C |
| 1.0ms | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 22.6% | 2 | C |
| 23.4% | 2 | A |
| 26.0% | 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))) |
| 26.0% | 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)) |
| 26.0% | 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))))))) |
| 26.0% | 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)))))) |
| 28.0% | 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 | (*.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 | B |
| 1.0ms | C |
| 1.0ms | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 20.0% | 1 | C |
| 20.0% | 1 | A |
| 20.0% | 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))) |
| 20.0% | 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)) |
| 20.0% | 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))))))) |
| 20.0% | 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)))))) |
| 20.0% | 1 | B |
Compiled 105 to 74 computations (29.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 3.1641941741581432e-37 |
| 0.0ms | -6.31814820995499e-102 | -0.0 |
Compiled 29 to 25 computations (13.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 3.1641941741581432e-37 |
| 0.0ms | -0.9999999890622209 | -6.31814820995499e-102 |
Compiled 29 to 25 computations (13.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 3.1641941741581432e-37 |
| 0.0ms | -0.9999999890622209 | -6.31814820995499e-102 |
Compiled 29 to 25 computations (13.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 3.1641941741581432e-37 |
| 0.0ms | -0.7853981579285587 | -6.31814820995499e-102 |
Compiled 29 to 25 computations (13.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 3.1641941741581432e-37 |
| 0.0ms | -0.7853981579285587 | -6.31814820995499e-102 |
Compiled 29 to 25 computations (13.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 3.1641941741581432e-37 |
| 0.0ms | -6.31814820995499e-102 | -0.0 |
Compiled 29 to 25 computations (13.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 38.0ms | 1.382621094943723e-216 | 1.1323837320144897e-214 |
| 29.0ms | -3.9410808918221313e-32 | -3.1158440903905184e-36 |
| 26.0ms | 86× | 2 | valid |
| 17.0ms | 25× | 1 | valid |
| 14.0ms | 129× | 0 | valid |
Compiled 449 to 384 computations (14.5% saved)
adjust: 6.0ms (16.2% of total)ival-pow2: 6.0ms (16.2% of total)ival-mult: 6.0ms (16.2% of total)ival-sub: 5.0ms (13.5% of total)ival-div: 5.0ms (13.5% of total)ival-sqrt: 3.0ms (8.1% of total)ival-add: 2.0ms (5.4% of total)ival-atan: 2.0ms (5.4% of total)ival-pi: 1.0ms (2.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.382621094943723e-216 | 1.1323837320144897e-214 |
Compiled 225 to 192 computations (14.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 28.0ms | 7.235079475715668e-94 | 7.015152755509496e-92 |
| 15.0ms | 45× | 2 | valid |
| 6.0ms | 56× | 0 | valid |
| 2.0ms | 11× | 1 | valid |
Compiled 197 to 178 computations (9.6% saved)
adjust: 5.0ms (25.9% of total)ival-sub: 3.0ms (15.6% of total)ival-div: 3.0ms (15.6% of total)ival-pow2: 3.0ms (15.6% of total)ival-sqrt: 2.0ms (10.4% of total)ival-mult: 2.0ms (10.4% of total)ival-add: 1.0ms (5.2% of total)ival-atan: 1.0ms (5.2% of total)ival-assert: 0.0ms (0% of total)ival-pi: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 7.235079475715668e-94 | 7.015152755509496e-92 |
| 22.0ms | -3.2339457624408304e-52 | -2.815811978208035e-53 |
| 10.0ms | 27× | 2 | valid |
| 6.0ms | 55× | 0 | valid |
| 3.0ms | 14× | 1 | valid |
Compiled 315 to 284 computations (9.8% saved)
ival-sub: 2.0ms (13.4% of total)adjust: 2.0ms (13.4% of total)ival-div: 2.0ms (13.4% of total)ival-sqrt: 2.0ms (13.4% of total)ival-pow2: 2.0ms (13.4% of total)ival-mult: 2.0ms (13.4% of total)ival-add: 1.0ms (6.7% of total)ival-atan: 1.0ms (6.7% of total)ival-pi: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 27.0ms | 1.5774485060404154e-155 | 4.5522662838435935e-154 |
| 30.0ms | -2.233809429063888e-202 | -6.1801392594578066e-204 |
| 35.0ms | 105× | 2 | valid |
| 13.0ms | 115× | 0 | valid |
| 1.0ms | 4× | 1 | valid |
Compiled 309 to 304 computations (1.6% saved)
adjust: 7.0ms (17.4% of total)ival-sub: 6.0ms (14.9% of total)ival-div: 6.0ms (14.9% of total)ival-pow2: 6.0ms (14.9% of total)ival-mult: 5.0ms (12.4% of total)ival-sqrt: 3.0ms (7.4% of total)ival-pi: 3.0ms (7.4% of total)ival-add: 2.0ms (5% of total)ival-atan: 2.0ms (5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.5774485060404154e-155 | 4.5522662838435935e-154 |
Compiled 169 to 164 computations (3% saved)
| 1× | egg-herbie |
| 48× | *-commutative_binary64 |
| 32× | +-commutative_binary64 |
| 24× | sub-neg_binary64 |
| 12× | neg-sub0_binary64 |
| 12× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 115 | 626 |
| 1 | 150 | 626 |
| 2 | 169 | 626 |
| 3 | 181 | 626 |
| 4 | 188 | 626 |
| 5 | 189 | 626 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal -6304320991423117/1260864198284623334792929283204595641762551656654894293374345388935863096687910739565256520156317300505812095689818112 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64))) (if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal 0 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) (-.f64 C A)))) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64))))) |
(if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal -1/2 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (PI.f64))) (if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal 0 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) (-.f64 C A)))) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))))) |
(if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal -1/2 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (PI.f64))) (if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal 0 binary64)) (*.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 (-.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 -1/2 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal -1 binary64) (/.f64 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 0 binary64)) (*.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 (-.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 -1/2 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal -1 binary64) (/.f64 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 0 binary64)) (*.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 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 -6304320991423117/1260864198284623334792929283204595641762551656654894293374345388935863096687910739565256520156317300505812095689818112 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal -1 binary64) (/.f64 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 0 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C))) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (PI.f64))))) |
(if (<=.f64 B #s(literal -6884257312483485/1496577676626844588240573268701473812127674924007424 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (PI.f64))) (if (<=.f64 B #s(literal 2639280756911205/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856 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 B #s(literal 2639280756911205/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856 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 B #s(literal 8366682951131781/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 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 #s(literal -1 binary64)) (PI.f64)))) |
(if (<=.f64 B #s(literal -5176309760092923/107839786668602559178668060348078522694548577690162289924414440996864 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) (if (<=.f64 B #s(literal 8366682951131781/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 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 -3000514831127481/88250436209631796779659651318894620729729809745361797646356310339459182198787453122058560031100937405340558296821374893066353027058699717113329784015217065825962377858834878767894752265396985241367417483713579073929216 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) (if (<=.f64 B #s(literal 4302317164296557/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 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 4302317164296557/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 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 (*.f64 (/.f64 #s(literal 1 binary64) 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 -6304320991423117/1260864198284623334792929283204595641762551656654894293374345388935863096687910739565256520156317300505812095689818112 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64))) (if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal 0 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) (-.f64 C A)))) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64))))) |
(if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal -1/2 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (PI.f64))) (if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal 0 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) (-.f64 C A)))) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))))) |
(if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal -1/2 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (PI.f64))) (if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal 0 binary64)) (*.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 (-.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 -1/2 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal -1 binary64) (/.f64 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 0 binary64)) (*.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 (-.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 -1/2 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal -1 binary64) (/.f64 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 0 binary64)) (*.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 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 -6304320991423117/1260864198284623334792929283204595641762551656654894293374345388935863096687910739565256520156317300505812095689818112 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal -1 binary64) (/.f64 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 0 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C))) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (PI.f64))))) |
(if (<=.f64 B #s(literal -6884257312483485/1496577676626844588240573268701473812127674924007424 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (PI.f64))) (if (<=.f64 B #s(literal 2639280756911205/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856 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 B #s(literal 2639280756911205/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856 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 B #s(literal 8366682951131781/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 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 #s(literal -1 binary64)) (PI.f64)))) |
(if (<=.f64 B #s(literal -5176309760092923/107839786668602559178668060348078522694548577690162289924414440996864 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) (if (<=.f64 B #s(literal 8366682951131781/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 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 -3000514831127481/88250436209631796779659651318894620729729809745361797646356310339459182198787453122058560031100937405340558296821374893066353027058699717113329784015217065825962377858834878767894752265396985241367417483713579073929216 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) (if (<=.f64 B #s(literal 4302317164296557/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 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 4302317164296557/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 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))) |
| 8 138× | lower-fma.f64 |
| 8 138× | lower-fma.f32 |
| 7 938× | lower-fma.f64 |
| 7 938× | lower-fma.f32 |
| 7 866× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 587 | 3505 |
| 1 | 1819 | 3332 |
| 2 | 5618 | 3296 |
| 0 | 8193 | 2824 |
| 0 | 642 | 5908 |
| 1 | 1927 | 5441 |
| 2 | 5834 | 5396 |
| 0 | 8229 | 4739 |
| 0 | 19 | 65 |
| 0 | 32 | 65 |
| 1 | 138 | 61 |
| 2 | 1029 | 61 |
| 0 | 8559 | 41 |
| 0 | 775 | 8164 |
| 1 | 2415 | 7706 |
| 2 | 7306 | 7664 |
| 0 | 8166 | 6585 |
| 0 | 744 | 5345 |
| 1 | 2169 | 5209 |
| 2 | 6443 | 5164 |
| 0 | 8208 | 4763 |
| 0 | 41 | 202 |
| 0 | 77 | 188 |
| 1 | 276 | 182 |
| 2 | 2204 | 182 |
| 0 | 8604 | 162 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 279 to 649 computations (49.3% saved)
Compiled 1 310 to 268 computations (79.5% saved)
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