
Time bar (total: 17.5s)
| 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 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 4 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 5 |
| 34.4% | 34.3% | 65.5% | 0.1% | 0% | 0% | 0% | 6 |
| 40% | 37.4% | 56.2% | 0.1% | 0% | 6.2% | 0% | 7 |
| 47.5% | 44.5% | 49.1% | 0.1% | 0% | 6.2% | 0% | 8 |
| 54.7% | 49.9% | 41.3% | 0.1% | 0% | 8.6% | 0% | 9 |
| 61% | 52.9% | 33.7% | 0.1% | 0% | 13.3% | 0% | 10 |
| 67.4% | 57.8% | 28% | 0.1% | 0% | 14% | 0% | 11 |
| 72.5% | 60.5% | 23% | 0.1% | 0% | 16.4% | 0% | 12 |
Compiled 40 to 22 computations (45% saved)
| 1.3s | 8 256× | 0 | valid |
| 106.0ms | 968× | 0 | invalid |
ival-mult: 593.0ms (50.6% of total)ival-div: 173.0ms (14.8% of total)ival-sub: 107.0ms (9.1% of total)ival-neg: 69.0ms (5.9% of total)ival-sqrt: 62.0ms (5.3% of total)ival-if: 52.0ms (4.4% of total)ival->=: 47.0ms (4% of total)ival-add: 43.0ms (3.7% of total)exact: 13.0ms (1.1% of total)ival-true: 7.0ms (0.6% of total)ival-assert: 4.0ms (0.3% of total)| 1× | egg-herbie |
| 1 344× | lower-fma.f64 |
| 1 344× | lower-fma.f32 |
| 1 108× | distribute-lft-in |
| 960× | times-frac |
| 948× | associate-/r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 355 |
| 1 | 222 | 336 |
| 2 | 682 | 336 |
| 3 | 1829 | 329 |
| 4 | 4477 | 329 |
| 5 | 6177 | 329 |
| 6 | 6905 | 329 |
| 7 | 7179 | 329 |
| 8 | 7230 | 329 |
| 9 | 7252 | 329 |
| 10 | 7392 | 329 |
| 11 | 7683 | 329 |
| 12 | 7721 | 329 |
| 13 | 7721 | 329 |
| 0 | 20 | 38 |
| 0 | 33 | 38 |
| 1 | 57 | 37 |
| 2 | 128 | 37 |
| 3 | 279 | 36 |
| 4 | 472 | 36 |
| 5 | 847 | 36 |
| 6 | 1706 | 36 |
| 7 | 2263 | 36 |
| 8 | 2636 | 36 |
| 9 | 2889 | 36 |
| 10 | 2914 | 36 |
| 11 | 2923 | 36 |
| 12 | 2970 | 36 |
| 13 | 3126 | 36 |
| 14 | 3162 | 36 |
| 15 | 3205 | 36 |
| 16 | 3209 | 36 |
| 17 | 3209 | 36 |
| 0 | 3209 | 34 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 106 | 0 | - | 1 | (2.8879520048472066e-183 9.59310321777054e-157 1.6945580861732673e-240) | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| 62 | 0 | - | 0 | - | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| 54 | 0 | - | 0 | - | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| 16 | 0 | - | 0 | - | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| 7 | 0 | - | 2 | (3.105176369454933e-224 1.9590283259153842e-213 -1.8717311161268616e-299) | (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) |
| 7 | 0 | - | 0 | - | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) c) |
| 0 | 0 | - | 0 | - | (*.f64 b b) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) a) |
| 0 | 0 | - | 0 | - | c |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 4 binary64) a) |
| 0 | 0 | - | 0 | - | (neg.f64 b) |
| 0 | 0 | - | 0 | - | (>=.f64 b #s(literal 0 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
| 0 | 0 | - | 0 | - | #s(literal 0 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 4 binary64) a) c) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | b |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) | oflow-rescue | 97 | 0 |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | overflow | 97 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | overflow | 25 | |
| ↳ | (*.f64 b b) | overflow | 85 | |
-.f64 | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | cancellation | 62 | 0 |
+.f64 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | cancellation | 54 | 0 |
/.f64 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) | u/n | 16 | 0 |
| ↳ | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | underflow | 25 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | underflow | 8 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | underflow | 32 | |
| ↳ | (*.f64 b b) | underflow | 53 | |
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) | uflow-rescue | 8 | 0 |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | underflow | 8 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | underflow | 32 | |
| ↳ | (*.f64 b b) | underflow | 53 | |
-.f64 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | nan-rescue | 7 | 0 |
| ↳ | (*.f64 b b) | overflow | 85 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | overflow | 25 | |
/.f64 | (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) | n/u | 5 | 0 |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | underflow | 8 | |
| ↳ | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | underflow | 14 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | underflow | 32 | |
| ↳ | (*.f64 b b) | underflow | 53 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 81 | 1 |
| - | 90 | 84 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 81 | 0 | 1 |
| - | 90 | 0 | 84 |
| number | freq |
|---|---|
| 0 | 85 |
| 1 | 100 |
| 2 | 64 |
| 3 | 7 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 44.0ms | 120× | 2 | valid |
| 40.0ms | 154× | 1 | valid |
| 33.0ms | 202× | 0 | valid |
| 12.0ms | 18× | 3 | valid |
| 7.0ms | 14× | 4 | valid |
| 2.0ms | 4× | 5 | exit |
Compiled 376 to 84 computations (77.7% saved)
ival-mult: 21.0ms (23.3% of total)ival-div: 15.0ms (16.6% of total)adjust: 14.0ms (15.5% of total)ival-sub: 10.0ms (11.1% of total)ival-neg: 9.0ms (10% of total)ival-sqrt: 8.0ms (8.9% of total)ival-if: 5.0ms (5.5% of total)ival-add: 5.0ms (5.5% of total)ival->=: 1.0ms (1.1% of total)ival-true: 1.0ms (1.1% of total)exact: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 70.0% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
Compiled 41 to 20 computations (51.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | cost-diff | 128 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| ✓ | cost-diff | 128 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
| ✓ | cost-diff | 128 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| 1 344× | lower-fma.f64 |
| 1 344× | lower-fma.f32 |
| 936× | lower-*.f32 |
| 926× | lower-*.f64 |
| 470× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 145 |
| 0 | 33 | 145 |
| 1 | 57 | 142 |
| 2 | 128 | 142 |
| 3 | 279 | 140 |
| 4 | 472 | 140 |
| 5 | 847 | 140 |
| 6 | 1706 | 140 |
| 7 | 2263 | 140 |
| 8 | 2636 | 140 |
| 9 | 2889 | 140 |
| 10 | 2914 | 140 |
| 11 | 2923 | 140 |
| 12 | 2970 | 140 |
| 13 | 3126 | 140 |
| 14 | 3162 | 140 |
| 15 | 3205 | 140 |
| 16 | 3209 | 140 |
| 17 | 3209 | 140 |
| 0 | 3209 | 132 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
a |
c |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) |
(*.f64 #s(literal 2 binary64) c) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) a) |
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 #s(literal 4 binary64) (*.f64 a c)) |
(*.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
a |
c |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 a #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) |
(/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b)) |
(*.f64 #s(literal 2 binary64) c) |
(*.f64 c #s(literal 2 binary64)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 94.0% | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | accuracy | 80.5% | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| ✓ | accuracy | 77.5% | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| ✓ | accuracy | 61.5% | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| 21.0ms | 60× | 2 | valid |
| 18.0ms | 77× | 1 | valid |
| 15.0ms | 101× | 0 | valid |
| 9.0ms | 9× | 3 | valid |
| 4.0ms | 7× | 4 | valid |
| 1.0ms | 2× | 5 | exit |
Compiled 147 to 22 computations (85% saved)
ival-div: 11.0ms (24.5% of total)ival-mult: 11.0ms (24.5% of total)ival-sub: 5.0ms (11.1% of total)adjust: 5.0ms (11.1% of total)ival-sqrt: 4.0ms (8.9% of total)ival-neg: 3.0ms (6.7% of total)ival-if: 2.0ms (4.5% of total)ival-add: 2.0ms (4.5% of total)ival->=: 1.0ms (2.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))> |
#<alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))> |
#<alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))> |
#<alt (>=.f64 b #s(literal 0 binary64))> |
#<alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))> |
#<alt (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))> |
| Outputs |
|---|
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))> |
#<alt (* -1 (/ b a))> |
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))> |
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))> |
#<alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))> |
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))> |
#<alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))> |
#<alt (* -1 (/ b a))> |
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)> |
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)> |
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1 (/ b a))> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))> |
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))> |
#<alt (* -4 (* a c))> |
#<alt (- (pow b 2) (* 4 (* a c)))> |
#<alt (- (pow b 2) (* 4 (* a c)))> |
#<alt (- (pow b 2) (* 4 (* a c)))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (pow b 2)> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (* -4 (* a c))> |
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))> |
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))> |
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))> |
#<alt (* -4 (* a c))> |
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))> |
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))> |
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))> |
#<alt (pow b 2)> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (* -4 (* a c))> |
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))> |
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))> |
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))> |
#<alt (* -4 (* a c))> |
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))> |
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))> |
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)> |
#<alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)> |
#<alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)> |
#<alt (* -2 b)> |
#<alt (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))> |
#<alt (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))> |
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))> |
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))> |
#<alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))> |
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))> |
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))> |
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))> |
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))> |
#<alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))> |
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))> |
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))> |
#<alt b> |
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))> |
#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))> |
#<alt (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 b)> |
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))> |
#<alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))> |
#<alt b> |
#<alt (+ b (* -2 (/ (* a c) b)))> |
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))> |
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))> |
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))> |
#<alt b> |
#<alt (+ b (* -2 (/ (* a c) b)))> |
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))> |
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))> |
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* -2 b)> |
#<alt (* b (- (* 2 (/ (* a c) (pow b 2))) 2))> |
#<alt (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))> |
#<alt (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b))> |
#<alt (* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))> |
#<alt (* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b))> |
#<alt (* -2 b)> |
#<alt (- (* 2 (/ (* a c) b)) (* 2 b))> |
#<alt (- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))> |
#<alt (- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))> |
#<alt (* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))> |
#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -2 b)> |
#<alt (- (* 2 (/ (* a c) b)) (* 2 b))> |
#<alt (- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))> |
#<alt (- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))> |
#<alt (* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))> |
#<alt (* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))> |
#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
48 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 27.0ms | a | @ | inf | (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) |
| 1.0ms | b | @ | 0 | (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) |
| 1.0ms | a | @ | -inf | (sqrt (- (* b b) (* (* 4 a) c))) |
| 1.0ms | b | @ | 0 | (- (* b b) (* (* 4 a) c)) |
| 1.0ms | b | @ | inf | (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) |
| 1× | batch-egg-rewrite |
| 5 702× | lower-fma.f64 |
| 5 702× | lower-fma.f32 |
| 4 948× | lower-*.f32 |
| 4 940× | lower-*.f64 |
| 3 438× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 65 |
| 0 | 28 | 65 |
| 1 | 89 | 64 |
| 2 | 665 | 62 |
| 0 | 9639 | 57 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(>=.f64 b #s(literal 0 binary64)) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| Outputs |
|---|
(+.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))) |
(+.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))))) |
(+.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(+.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64)))) |
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(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))) |
(-.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64)))) |
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(-.f64 (/.f64 (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a a)))) (+.f64 (+.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a a))) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 a a)))) (/.f64 (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 #s(literal 4 binary64) (*.f64 a a))))) (/.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 a a)))) (+.f64 (+.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a a))) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 a a)))) (/.f64 (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 #s(literal 4 binary64) (*.f64 a a)))))) |
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(/.f64 (fma.f64 b (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (fma.f64 b b (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
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(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 a (*.f64 (*.f64 a c) #s(literal 16 binary64)))))))) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (fma.f64 b (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))) |
(/.f64 (*.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 a (*.f64 (*.f64 a c) #s(literal 16 binary64))))))) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(/.f64 (*.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 a (*.f64 (*.f64 a c) #s(literal 16 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(/.f64 (/.f64 (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #s(literal 1 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #s(literal -1 binary64)) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal 1 binary64)) |
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) |
(*.f64 (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(*.f64 (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(*.f64 (fma.f64 b (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (fma.f64 b b (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(*.f64 (fma.f64 b (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (fma.f64 b b (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(*.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(*.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(*.f64 (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (fma.f64 b (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (fma.f64 b b (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(*.f64 (fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(*.f64 (/.f64 (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(*.f64 (/.f64 (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (fma.f64 b (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (fma.f64 b b (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (-.f64 (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (fma.f64 b b (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal 1 binary64)) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (/.f64 (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (fma.f64 b (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (fma.f64 b b (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(*.f64 (neg.f64 (/.f64 (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (fma.f64 b (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (fma.f64 b b (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(*.f64 (/.f64 (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(*.f64 (/.f64 (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(*.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (fma.f64 b b (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (fma.f64 b (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) (fma.f64 b (*.f64 b (*.f64 b b)) (fma.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 b (*.f64 b (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))))))) |
(*.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (fma.f64 b b (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (-.f64 (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
| 1× | egg-herbie |
| 11 996× | lower-fma.f64 |
| 11 996× | lower-fma.f32 |
| 8 248× | lower-*.f64 |
| 8 248× | lower-*.f32 |
| 3 550× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 650 | 4075 |
| 1 | 2083 | 4039 |
| 2 | 6820 | 3997 |
| 0 | 8156 | 3811 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* -4 (* a c)) |
(- (pow b 2) (* 4 (* a c))) |
(- (pow b 2) (* 4 (* a c))) |
(- (pow b 2) (* 4 (* a c))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -4 (* a c)) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* -4 (* a c)) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -4 (* a c)) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* -4 (* a c)) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -2 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -2 b) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -2 (/ (* a c) b)) |
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)) |
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
| Outputs |
|---|
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(fma.f64 b (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 b (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64)))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (sqrt.f64 #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64)))) |
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(fma.f64 b (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 c (*.f64 b b))) (/.f64 b (neg.f64 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(fma.f64 b (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 c (*.f64 b b)))) (/.f64 b (neg.f64 a))) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(/.f64 (fma.f64 a (*.f64 c (/.f64 c (*.f64 b b))) c) (neg.f64 b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 a (*.f64 c (/.f64 c (*.f64 b b))) c)) (neg.f64 b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 a (*.f64 c (/.f64 c (*.f64 b b))) c))) (neg.f64 b)) |
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/.f64 (fma.f64 a (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)) (neg.f64 b)) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(/.f64 (fma.f64 a (fma.f64 a (fma.f64 c (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c (*.f64 c (*.f64 c a)))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 c b)) (neg.f64 b)) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a)) (fma.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) b) a)) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)) (*.f64 b #s(literal 1/2 binary64))) (neg.f64 a))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
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(pow b 2) |
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(pow b 2) |
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(+ (* -4 (* a c)) (pow b 2)) |
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(* (sqrt (* a c)) (sqrt -4)) |
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(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal -2 binary64) a) b))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 c (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b (neg.f64 c)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b (neg.f64 c))))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(*.f64 c (-.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))))) (/.f64 b c))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b c)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/4 binary64))) b) c)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(neg.f64 (*.f64 c (-.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)))) c)) c)))) |
(>= b 0) |
(>=.f64 b #s(literal 0 binary64)) |
(>= b 0) |
(>=.f64 b #s(literal 0 binary64)) |
(>= b 0) |
(>=.f64 b #s(literal 0 binary64)) |
(>= b 0) |
(>=.f64 b #s(literal 0 binary64)) |
(>= b 0) |
(>=.f64 b #s(literal 0 binary64)) |
(>= b 0) |
(>=.f64 b #s(literal 0 binary64)) |
(>= b 0) |
(>=.f64 b #s(literal 0 binary64)) |
(>= b 0) |
(>=.f64 b #s(literal 0 binary64)) |
(>= b 0) |
(>=.f64 b #s(literal 0 binary64)) |
(>= b 0) |
(>=.f64 b #s(literal 0 binary64)) |
(>= b 0) |
(>=.f64 b #s(literal 0 binary64)) |
(>= b 0) |
(>=.f64 b #s(literal 0 binary64)) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
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(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (/.f64 (*.f64 b b) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 c (*.f64 c (*.f64 c a))))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (sqrt.f64 #s(literal -4 binary64)))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(fma.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b)) b) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(fma.f64 (*.f64 b #s(literal -2 binary64)) (fma.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 c a) (*.f64 b b))) b) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(*.f64 b (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c (*.f64 c a))))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -2 binary64) (fma.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 c a) (*.f64 b b))) #s(literal 1 binary64)))) |
(* -1 b) |
(neg.f64 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(*.f64 (neg.f64 b) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(neg.f64 (fma.f64 (*.f64 b #s(literal -2 binary64)) (fma.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 c a) (*.f64 b b))) b)) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(*.f64 (neg.f64 b) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c (*.f64 c a))))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -2 binary64) (fma.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 c a) (*.f64 b b))) #s(literal 1 binary64)))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)) b) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 a (fma.f64 a (fma.f64 a (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 c c)) c) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal -2 binary64) c) b)) b) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(*.f64 a (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(*.f64 a (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))) (neg.f64 a)) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))) (neg.f64 a)) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(neg.f64 (*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 c (/.f64 (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 a b)) b) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(fma.f64 c (fma.f64 c (fma.f64 (*.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 a (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal -2 binary64) a) b)) b) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(*.f64 c (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(*.f64 c (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 c (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a)))))) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a)))))) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (neg.f64 c)) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) #s(literal -1/64 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64)))))) (neg.f64 c)) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(neg.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))) |
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(-.f64 (neg.f64 b) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))) |
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(fma.f64 b (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))))) |
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 c (*.f64 c (*.f64 c a))))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/32 binary64))) #s(literal -1 binary64)) (neg.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))))) |
(* -2 b) |
(*.f64 b #s(literal -2 binary64)) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(*.f64 b (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 c (*.f64 b b)) #s(literal -2 binary64))) |
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(*.f64 b (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (-.f64 #s(literal -2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b))))) |
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(*.f64 b (+.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 c a) (*.f64 b b)))))) |
(* -2 (/ (* a c) b)) |
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) |
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)) |
(*.f64 #s(literal -2 binary64) (/.f64 (fma.f64 a (*.f64 a (*.f64 c (/.f64 c (*.f64 b b)))) (*.f64 c a)) b)) |
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (fma.f64 a (*.f64 a (*.f64 c (/.f64 c (*.f64 b b)))) (*.f64 c a)))) (neg.f64 b)) |
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)) |
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64))) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 2 binary64) (fma.f64 a (*.f64 a (*.f64 c (/.f64 c (*.f64 b b)))) (*.f64 c a)))) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a (*.f64 c (*.f64 c (*.f64 c a)))))) (pow.f64 b #s(literal 4 binary64)))) (neg.f64 b)) |
(* -2 b) |
(*.f64 b #s(literal -2 binary64)) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 c (/.f64 a b)) b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(fma.f64 a (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b))) (*.f64 b #s(literal -2 binary64))) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
(fma.f64 a (fma.f64 a (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 c (*.f64 c (*.f64 c a))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal 2 binary64) c) b)) (*.f64 b #s(literal -2 binary64))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(neg.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 a (neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a)))) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(*.f64 a (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/2 binary64))) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a)))) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(*.f64 a (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/32 binary64) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a)))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) (neg.f64 a)) |
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(neg.f64 (*.f64 a (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (neg.f64 b)) a)))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))) (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a))))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/64 binary64)))) a)) a)) (neg.f64 a)) |
(* -2 b) |
(*.f64 b #s(literal -2 binary64)) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 c (/.f64 a b)) b)) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(fma.f64 c (*.f64 #s(literal 2 binary64) (fma.f64 c (/.f64 (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 a b))) (*.f64 b #s(literal -2 binary64))) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
(fma.f64 c (fma.f64 c (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 c (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 b #s(literal -2 binary64))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(neg.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))) |
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 c (neg.f64 (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b c)))) |
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(*.f64 c (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a))))) (*.f64 b b))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b c)))) |
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(*.f64 c (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/32 binary64) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b c)))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b c)) (neg.f64 c)) |
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (neg.f64 b)) (neg.f64 c))) (neg.f64 c)) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c))) (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/64 binary64)))) c)) c)) (neg.f64 c)) |
Compiled 72 463 to 4 391 computations (93.9% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 148 | 13 | 1 161 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 1 149 | 13 | 1 162 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 51.4% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
| ▶ | 58.5% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
| ▶ | 67.7% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
| 69.7% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) | |
| 56.4% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (sqrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) b))) | |
| 54.5% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))) | |
| 64.0% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) | |
| ▶ | 70.0% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))) |
| 64.9% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (*.f64 (neg.f64 b) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))))) | |
| 65.5% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) | |
| 67.6% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) | |
| 58.5% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) | |
| ▶ | 69.9% | (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
Compiled 1 098 to 674 computations (38.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | cost-diff | 128 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
| ✓ | cost-diff | 128 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| ✓ | cost-diff | 192 | (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| ✓ | cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | cost-diff | 128 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
| ✓ | cost-diff | 128 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| ✓ | cost-diff | 1088 | (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
| ✓ | cost-diff | 128 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
| ✓ | cost-diff | 128 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| ✓ | cost-diff | 192 | (-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) |
| ✓ | cost-diff | 960 | (/.f64 (-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
| ✓ | cost-diff | 128 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
| ✓ | cost-diff | 128 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| ✓ | cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | cost-diff | 128 | (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
| ✓ | cost-diff | 128 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
| ✓ | cost-diff | 128 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| 6 038× | lower-fma.f32 |
| 6 030× | lower-fma.f64 |
| 2 618× | lower-*.f32 |
| 2 596× | lower-*.f64 |
| 1 992× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 933 |
| 0 | 94 | 942 |
| 1 | 170 | 894 |
| 2 | 374 | 890 |
| 3 | 806 | 885 |
| 4 | 2049 | 869 |
| 5 | 7049 | 869 |
| 0 | 8045 | 866 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
a |
c |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) |
(*.f64 #s(literal 2 binary64) c) |
(+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
#s(literal 1 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(*.f64 a #s(literal -4 binary64)) |
#s(literal -4 binary64) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(/.f64 #s(literal -1/2 binary64) a) |
#s(literal -1/2 binary64) |
a |
(+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
c |
(*.f64 a #s(literal -4 binary64)) |
#s(literal -4 binary64) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) |
(*.f64 #s(literal 2 binary64) c) |
#s(literal 2 binary64) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) |
(neg.f64 b) |
(fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b) |
(/.f64 c b) |
c |
(*.f64 #s(literal -2 binary64) a) |
#s(literal -2 binary64) |
a |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) |
(*.f64 #s(literal 2 binary64) c) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(/.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
a |
(/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
#s(literal 2 binary64) |
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
c |
(*.f64 a #s(literal -4 binary64)) |
#s(literal -4 binary64) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) |
(*.f64 #s(literal 2 binary64) c) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))) |
(fma.f64 b b (fma.f64 b b (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(fma.f64 b b (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
a |
c |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) |
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(*.f64 a #s(literal -4 binary64)) |
#s(literal -4 binary64) |
(*.f64 a #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) |
(*.f64 #s(literal 2 binary64) c) |
#s(literal 2 binary64) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(*.f64 b b) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) b))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) |
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 #s(literal 4 binary64) (*.f64 a c)) |
(*.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
a |
c |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 a #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) |
(/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) b)) |
(*.f64 #s(literal 2 binary64) c) |
(*.f64 c #s(literal 2 binary64)) |
(+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) b) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
#s(literal 1 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(*.f64 a #s(literal -4 binary64)) |
#s(literal -4 binary64) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) |
(/.f64 #s(literal -1/2 binary64) a) |
#s(literal -1/2 binary64) |
a |
(+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
c |
(*.f64 a #s(literal -4 binary64)) |
#s(literal -4 binary64) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) |
(/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) |
(*.f64 #s(literal 2 binary64) c) |
(*.f64 c #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 #s(literal 4 binary64) (*.f64 a c)) |
(*.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) |
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 a c) b) b)) |
(neg.f64 b) |
(fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b) |
(fma.f64 a (*.f64 c (/.f64 #s(literal -2 binary64) b)) b) |
(/.f64 c b) |
c |
(*.f64 #s(literal -2 binary64) a) |
(*.f64 a #s(literal -2 binary64)) |
#s(literal -2 binary64) |
a |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 a #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) |
(/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) |
(*.f64 #s(literal 2 binary64) c) |
(*.f64 c #s(literal 2 binary64)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 #s(literal 4 binary64) (*.f64 a c)) |
(*.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) (*.f64 a #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
a |
(/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
#s(literal 2 binary64) |
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
c |
(*.f64 a #s(literal -4 binary64)) |
#s(literal -4 binary64) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) |
(/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) |
(*.f64 #s(literal 2 binary64) c) |
(*.f64 c #s(literal 2 binary64)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 #s(literal 4 binary64) (*.f64 a c)) |
(*.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (fma.f64 b (+.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) (*.f64 a (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))) |
(/.f64 (fma.f64 b (+.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) (*.f64 a (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))) |
(fma.f64 b b (fma.f64 b b (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(fma.f64 b (+.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) |
(fma.f64 b b (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c))) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 #s(literal 4 binary64) (*.f64 a c)) |
(*.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
a |
c |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) |
(*.f64 a (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(*.f64 a #s(literal -4 binary64)) |
#s(literal -4 binary64) |
(*.f64 a #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) |
(/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) |
(*.f64 #s(literal 2 binary64) c) |
(*.f64 c #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(*.f64 b b) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 80.5% | (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
| ✓ | accuracy | 68.8% | (/.f64 (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))) |
| ✓ | accuracy | 61.9% | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| ✓ | accuracy | 61.9% | (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
| ✓ | accuracy | 80.5% | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| ✓ | accuracy | 80.5% | (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
| ✓ | accuracy | 61.9% | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| ✓ | accuracy | 61.9% | (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
| ✓ | accuracy | 96.6% | (/.f64 (-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | accuracy | 95.9% | (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b) |
| ✓ | accuracy | 80.5% | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| ✓ | accuracy | 61.9% | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| ✓ | accuracy | 80.5% | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| ✓ | accuracy | 77.9% | (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
| ✓ | accuracy | 61.9% | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| ✓ | accuracy | 61.9% | (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
| ✓ | accuracy | 80.5% | (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
| ✓ | accuracy | 77.9% | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| ✓ | accuracy | 63.0% | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
| ✓ | accuracy | 61.9% | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| 68.0ms | 59× | 2 | valid |
| 68.0ms | 77× | 1 | valid |
| 63.0ms | 101× | 0 | valid |
| 17.0ms | 10× | 3 | valid |
| 12.0ms | 6× | 4 | valid |
| 6.0ms | 3× | 5 | exit |
Compiled 970 to 57 computations (94.1% saved)
ival-div: 33.0ms (24.3% of total)ival-mult: 30.0ms (22.1% of total)adjust: 22.0ms (16.2% of total)ival-add: 15.0ms (11% of total)ival-sqrt: 11.0ms (8.1% of total)ival-sub: 10.0ms (7.4% of total)ival-if: 10.0ms (7.4% of total)ival-neg: 3.0ms (2.2% of total)exact: 1.0ms (0.7% of total)ival->=: 1.0ms (0.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))> |
#<alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))> |
#<alt (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))> |
#<alt (>=.f64 b #s(literal 0 binary64))> |
#<alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))> |
#<alt (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))> |
#<alt (/.f64 (-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) (*.f64 #s(literal 2 binary64) a))> |
#<alt (-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b))> |
#<alt (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))> |
#<alt (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 #s(literal 4 binary64) a) c)))> |
#<alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))> |
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))> |
#<alt (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))> |
#<alt (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))> |
#<alt (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))> |
#<alt (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)> |
#<alt (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))> |
#<alt (/.f64 (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))))> |
| Outputs |
|---|
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))> |
#<alt (* -1 (/ b a))> |
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))> |
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))> |
#<alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))> |
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))> |
#<alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))> |
#<alt (* -1 (/ b a))> |
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)> |
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)> |
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1 (/ b a))> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))> |
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))> |
#<alt (* -4 (* a c))> |
#<alt (- (pow b 2) (* 4 (* a c)))> |
#<alt (- (pow b 2) (* 4 (* a c)))> |
#<alt (- (pow b 2) (* 4 (* a c)))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (pow b 2)> |
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#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (pow b 2)> |
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#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (* -4 (* a c))> |
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#<alt (* a (- (/ (pow b 2) a) (* 4 c)))> |
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#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))> |
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))> |
#<alt (pow b 2)> |
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#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
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#<alt (* c (- (/ (pow b 2) c) (* 4 a)))> |
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#<alt (* -4 (* a c))> |
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))> |
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))> |
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))> |
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#<alt (>= b 0)> |
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#<alt (/ c b)> |
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#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b a)))))> |
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#<alt (/ c b)> |
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#<alt (/ b a)> |
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#<alt (/ c b)> |
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#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b (* a c)))))))> |
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#<alt (* 4 (* a c))> |
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#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))> |
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))> |
#<alt b> |
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#<alt (* -1 b)> |
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#<alt b> |
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#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
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#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))> |
#<alt b> |
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#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
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#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))> |
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#<alt (+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4)))) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/32 (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (* a (* c (pow (sqrt -1/4) 2))))) (* 1/256 (/ 1 (* (pow a 4) (pow c 4)))))) (sqrt -1/4)))) (* -1/2 (* (sqrt (* a c)) (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (sqrt -1/4)))))))))> |
#<alt (/ 1 b)> |
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#<alt (/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b)> |
#<alt (/ -1 b)> |
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#<alt (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b))> |
#<alt (/ 1 b)> |
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#<alt (+ (* c (+ (* 2 (/ a (pow b 3))) (* c (+ (* -1/2 (* b (* c (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))))))))) (/ 1 b))> |
#<alt (* (sqrt (/ 1 (* a c))) (sqrt -1/4))> |
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#<alt (+ (* -1/2 (* (sqrt (/ a (pow c 7))) (/ (+ (* 1/1024 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow a 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))> |
#<alt (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))> |
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#<alt (+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ c (pow a 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1/256 (/ (* (pow b 4) c) (pow a 3))) (* 1/256 (/ (pow b 6) (pow a 4))))))) (pow c 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (/ 1 b)> |
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#<alt (+ (* a (+ (* 2 (/ c (pow b 3))) (* a (+ (* -1/2 (* a (* b (+ (* -64 (/ (pow c 3) (pow b 8))) (* -2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))))))))) (/ 1 b))> |
#<alt (* (sqrt (/ 1 (* a c))) (sqrt -1/4))> |
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#<alt (+ (* -1/2 (* (sqrt (/ c (pow a 7))) (/ (+ (* 1/1024 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow c 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))> |
#<alt (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))> |
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#<alt (+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ a (pow c 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4))))))) (pow a 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* -2 b)> |
#<alt (* b (- (* 2 (/ (* a c) (pow b 2))) 2))> |
#<alt (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))> |
#<alt (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b))> |
#<alt (* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))> |
#<alt (* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b))> |
#<alt (* -2 b)> |
#<alt (- (* 2 (/ (* a c) b)) (* 2 b))> |
#<alt (- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))> |
#<alt (- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))> |
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#<alt (* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))> |
#<alt (* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))> |
#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))> |
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#<alt (* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -2 b)> |
#<alt (- (* 2 (/ (* a c) b)) (* 2 b))> |
#<alt (- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))> |
#<alt (- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))> |
#<alt (* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))> |
#<alt (* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))> |
#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))> |
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))> |
#<alt b> |
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))> |
#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))> |
#<alt (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 b)> |
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))> |
#<alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))> |
#<alt b> |
#<alt (+ b (* -2 (/ (* a c) b)))> |
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))> |
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))> |
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))> |
#<alt b> |
#<alt (+ b (* -2 (/ (* a c) b)))> |
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))> |
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))> |
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* 2 b)> |
#<alt (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))> |
#<alt (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))> |
#<alt (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* 2 (/ (* a c) b))> |
#<alt (* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))> |
#<alt (* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))> |
#<alt (* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))> |
#<alt (* 2 b)> |
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))> |
#<alt (+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))> |
#<alt (+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))> |
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* 2 b)> |
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))> |
#<alt (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))> |
#<alt (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))> |
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt b> |
#<alt (+ b (* -2 (/ (* a c) b)))> |
#<alt (+ b (* -2 (/ (* a c) b)))> |
#<alt (+ b (* -2 (/ (* a c) b)))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* c (+ (* -2 (/ a b)) (/ b c)))> |
#<alt (* c (+ (* -2 (/ a b)) (/ b c)))> |
#<alt (* c (+ (* -2 (/ a b)) (/ b c)))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b)))))> |
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b)))))> |
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b)))))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (/ (+ (* -2 (* a c)) (pow b 2)) b)> |
#<alt (/ (+ (* -2 (* a c)) (pow b 2)) b)> |
#<alt (/ (+ (* -2 (* a c)) (pow b 2)) b)> |
#<alt b> |
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))> |
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))> |
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))> |
#<alt b> |
#<alt (* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1)))> |
#<alt (* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1)))> |
#<alt (* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1)))> |
#<alt b> |
#<alt (+ b (* -2 (/ (* a c) b)))> |
#<alt (+ b (* -2 (/ (* a c) b)))> |
#<alt (+ b (* -2 (/ (* a c) b)))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* a (+ (* -2 (/ c b)) (/ b a)))> |
#<alt (* a (+ (* -2 (/ c b)) (/ b a)))> |
#<alt (* a (+ (* -2 (/ c b)) (/ b a)))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b)))))> |
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b)))))> |
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b)))))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (- b (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* 2 (/ (* a c) b))> |
#<alt (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)> |
#<alt (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)> |
#<alt (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)> |
#<alt (* 2 b)> |
#<alt (* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))> |
#<alt (* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))))> |
#<alt (* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))> |
#<alt (* 2 (/ (* a c) b))> |
#<alt (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b))))> |
#<alt (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))> |
#<alt (* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))> |
#<alt (* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))> |
#<alt (* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))> |
#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* 2 (/ (* a c) b))> |
#<alt (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))> |
#<alt (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))> |
#<alt (* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))> |
#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))> |
#<alt (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))> |
#<alt (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -1/2 (* b (- (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))> |
#<alt (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -1/2 (* b (- (* 2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (- (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))) (sqrt -4))))))) (* -1/2 (- (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))> |
#<alt (* -1/2 (/ (pow b 3) (* (pow a 2) c)))> |
#<alt (* -1 (* (pow b 3) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/2 (/ 1 (* (pow a 2) c))))))> |
#<alt (* (pow b 3) (- (* 1/2 (/ (+ c (* 2 c)) (pow b 4))) (+ (/ 1/2 (* a (pow b 2))) (* 1/2 (/ 1 (* (pow a 2) c))))))> |
#<alt (* (pow b 3) (- (+ (* 1/2 (/ (+ c (* 2 c)) (pow b 4))) (* 1/2 (/ (+ (* -1 (* a (* c (+ c (* 2 c))))) (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))) (* 2 (* a (pow c 2))))) (pow b 6)))) (+ (/ 1/2 (* a (pow b 2))) (* 1/2 (/ 1 (* (pow a 2) c))))))> |
#<alt (* -1/2 (/ b a))> |
#<alt (* -1 (* b (+ (* 1/2 (/ (- (* 2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a)))))> |
#<alt (* -1 (* b (+ (* -1/2 (/ (+ (* -1 (* a (* c (- (* 2 c) (* -1 c))))) (* -1 (* a (pow c 2)))) (pow b 4))) (+ (* 1/2 (/ (- (* 2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a))))))> |
#<alt (* -1 (* b (+ (* -1/2 (/ (+ (* -2 (* (pow a 2) (pow c 3))) (+ (* -1 (* (pow a 2) (* (pow c 2) (- (* 2 c) (* -1 c))))) (* a (* c (+ (* -1 (* a (* c (- (* 2 c) (* -1 c))))) (* -1 (* a (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -1 (* a (* c (- (* 2 c) (* -1 c))))) (* -1 (* a (pow c 2)))) (pow b 4))) (+ (* 1/2 (/ (- (* 2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a)))))))> |
#<alt (* -1/2 (/ (pow b 3) (* (pow a 2) c)))> |
#<alt (/ (+ (* -1/2 (* a (- (* 2 b) b))) (* -1/2 (/ (pow b 3) c))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (/ (pow b 3) c)) (* a (+ (* -1/2 (- (* 2 b) b)) (* 1/2 (* a (+ (* 2 (/ c b)) (/ (* c (- (* 2 b) b)) (pow b 2)))))))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (/ (pow b 3) c)) (* a (+ (* -1/2 (- (* 2 b) b)) (* a (+ (* 1/2 (* a (+ (* -1 (/ (* c (+ (* 2 (/ c b)) (/ (* c (- (* 2 b) b)) (pow b 2)))) (pow b 2))) (+ (* 1/4 (/ (* (pow b 3) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* 2 b) b)) (pow b 4))))))) (* 1/2 (+ (* 2 (/ c b)) (/ (* c (- (* 2 b) b)) (pow b 2))))))))) (pow a 2))> |
#<alt (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))> |
#<alt (/ (+ (* -1/2 (/ (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))) a)> |
#<alt (/ (+ (* -1/2 (/ (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (+ (* 1/2 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (pow a 2))) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) a)> |
#<alt (/ (+ (* -1/2 (/ (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (+ (* 1/2 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (pow a 2))) (+ (* 1/2 (/ (+ (* 1/2 (/ (* a (* (pow b 2) (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ (* b (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))))) (sqrt -4)))) (pow a 3))) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))))) a)> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1 (/ (+ (* -1/2 (/ (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)) a)) (* (sqrt (* a c)) (sqrt -1))) a))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)))))) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)))))) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 1/2 (/ (+ (* -1/8 (/ (* a (* (pow b 2) (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)))) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)))))) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a))) a)) (* 1/2 (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)))) a)) (* (sqrt (* a c)) (sqrt -1))) a))> |
#<alt (* -1/2 (/ (pow b 3) (* (pow a 2) c)))> |
#<alt (/ (+ (* -1/2 (* c (- (* 2 (/ b a)) (/ b a)))) (* -1/2 (/ (pow b 3) (pow a 2)))) c)> |
#<alt (/ (+ (* -1/2 (/ (pow b 3) (pow a 2))) (* c (+ (* -1/2 (- (* 2 (/ b a)) (/ b a))) (* 1/2 (* c (+ (* 2 (/ 1 b)) (/ (* a (- (* 2 (/ b a)) (/ b a))) (pow b 2)))))))) c)> |
#<alt (/ (+ (* -1/2 (/ (pow b 3) (pow a 2))) (* c (+ (* -1/2 (- (* 2 (/ b a)) (/ b a))) (* c (+ (* 1/2 (* c (+ (* -1 (/ (* a (+ (* 2 (/ 1 b)) (/ (* a (- (* 2 (/ b a)) (/ b a))) (pow b 2)))) (pow b 2))) (+ (* 1/4 (/ (* (pow b 3) (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 3))) (* 2 (/ (* (pow a 2) (- (* 2 (/ b a)) (/ b a))) (pow b 4))))))) (* 1/2 (+ (* 2 (/ 1 b)) (/ (* a (- (* 2 (/ b a)) (/ b a))) (pow b 2))))))))) c)> |
#<alt (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))> |
#<alt (+ (* -1/2 (/ (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))))> |
#<alt (+ (* -1/2 (/ (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (+ (* 1/2 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4))))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))))> |
#<alt (+ (* -1/2 (/ (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (+ (* 1/2 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4))))) (pow c 2))) (+ (* 1/2 (/ (+ (* 1/2 (/ (* (pow b 2) (* c (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))))) (* a (pow (sqrt -4) 2)))) (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))))) (sqrt -4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))))))> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 1/2 (/ (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)) c)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a))) (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))) c))) c)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (/ (* (pow b 2) (* c (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)))) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) c)) (* 1/2 (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))))) c)) (* -1/2 (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)))) c)))> |
156 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | b | @ | 0 | (/ (+ (* b b) (+ (* b b) (* (* 4 a) c))) (* (- b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2))) |
| 8.0ms | b | @ | 0 | (/ (- (neg b) (+ (* (/ c b) (* -2 a)) b)) (* 2 a)) |
| 6.0ms | c | @ | inf | (sqrt (/ 1 (+ (* b b) (* c (* a -4))))) |
| 5.0ms | a | @ | -inf | (sqrt (/ 1 (+ (* b b) (* c (* a -4))))) |
| 2.0ms | c | @ | inf | (/ (+ (* b b) (+ (* b b) (* (* 4 a) c))) (* (- b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2))) |
| 1× | batch-egg-rewrite |
| 4 372× | lower-/.f32 |
| 4 350× | lower-/.f64 |
| 4 288× | lower-*.f32 |
| 4 266× | lower-*.f64 |
| 3 984× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 248 |
| 0 | 88 | 252 |
| 1 | 336 | 231 |
| 2 | 2933 | 231 |
| 0 | 9257 | 229 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(>=.f64 b #s(literal 0 binary64)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
(/.f64 (-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(fma.f64 b b (fma.f64 b b (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b) |
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(/.f64 (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))) |
| Outputs |
|---|
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))))) |
(+.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 a #s(literal -2 binary64)))) |
(+.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))) (/.f64 b (*.f64 a #s(literal -2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) #s(literal -1 binary64))) |
(-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))) |
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 a #s(literal -2 binary64)))) |
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 a #s(literal -2 binary64)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (/.f64 b (*.f64 a #s(literal -2 binary64)))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 a #s(literal -2 binary64)))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 b (*.f64 a #s(literal -2 binary64)))) |
(fma.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a) (/.f64 b (*.f64 a #s(literal -2 binary64)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 b (*.f64 a #s(literal 2 binary64))) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b #s(literal 2 binary64)) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))))) |
(fma.f64 (*.f64 b #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 a #s(literal -2 binary64)))) |
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 a #s(literal -2 binary64)))) |
(neg.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64)))) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (neg.f64 (*.f64 a #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))))) |
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) |
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (neg.f64 (neg.f64 (*.f64 a #s(literal -2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))))) |
(/.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 (*.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) a) |
(/.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #s(literal 1/2 binary64)) a) |
(/.f64 (-.f64 (*.f64 (neg.f64 b) (*.f64 a #s(literal 2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) #s(literal 1 binary64)) (*.f64 (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 1 binary64)) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 1 binary64)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 a #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (*.f64 a (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
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(*.f64 (fma.f64 b (+.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))) |
(*.f64 (neg.f64 (fma.f64 b (+.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 a #s(literal -2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (fma.f64 b (+.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (+.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (pow.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 b (+.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 b (+.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (/.f64 #s(literal -1/2 binary64) a)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (pow.f64 (/.f64 #s(literal -2 binary64) (fma.f64 b (+.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 (fma.f64 b (+.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) (-.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))))) |
| 1× | egg-herbie |
| 7 796× | lower-fma.f64 |
| 7 796× | lower-fma.f32 |
| 6 774× | lower-*.f64 |
| 6 774× | lower-*.f32 |
| 4 826× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1449 | 15037 |
| 1 | 4753 | 14681 |
| 0 | 8527 | 14009 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* -4 (* a c)) |
(- (pow b 2) (* 4 (* a c))) |
(- (pow b 2) (* 4 (* a c))) |
(- (pow b 2) (* 4 (* a c))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -4 (* a c)) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* -4 (* a c)) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -4 (* a c)) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* -4 (* a c)) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -2 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -2 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b))))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b))))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b))))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(/ c b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(/ c b) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(/ c b) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ c b) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(/ c b) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(* 2 (/ (* a c) b)) |
(/ (- (* -2 (pow b 2)) (* -2 (* a c))) b) |
(/ (- (* -2 (pow b 2)) (* -2 (* a c))) b) |
(/ (- (* -2 (pow b 2)) (* -2 (* a c))) b) |
(* -2 b) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(* 2 (/ (* a c) b)) |
(* c (- (* -2 (/ b c)) (* -2 (/ a b)))) |
(* c (- (* -2 (/ b c)) (* -2 (/ a b)))) |
(* c (- (* -2 (/ b c)) (* -2 (/ a b)))) |
(* 2 (/ (* a c) b)) |
(* -1 (* c (- (* 2 (/ b c)) (* 2 (/ a b))))) |
(* -1 (* c (- (* 2 (/ b c)) (* 2 (/ a b))))) |
(* -1 (* c (- (* 2 (/ b c)) (* 2 (/ a b))))) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(* 2 (/ (* a c) b)) |
(* a (- (* -2 (/ b a)) (* -2 (/ c b)))) |
(* a (- (* -2 (/ b a)) (* -2 (/ c b)))) |
(* a (- (* -2 (/ b a)) (* -2 (/ c b)))) |
(* 2 (/ (* a c) b)) |
(* -1 (* a (- (* 2 (/ b a)) (* 2 (/ c b))))) |
(* -1 (* a (- (* 2 (/ b a)) (* 2 (/ c b))))) |
(* -1 (* a (- (* 2 (/ b a)) (* 2 (/ c b))))) |
(/ c b) |
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3))) |
(+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)) |
(+ (* a (+ (* a (+ (* 1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 2 (/ (pow c 3) (pow b 5))))) (/ (pow c 2) (pow b 3)))) (/ c b)) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b a)))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b a))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* 1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/2 b) (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(/ c b) |
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b) |
(/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ b a) |
(* -1 (* b (- (/ c (pow b 2)) (/ 1 a)))) |
(* -1 (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))) |
(* -1 (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))) |
(/ c b) |
(* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) |
(* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))) |
(* c (+ (* c (+ (* c (+ (* 1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 2 (/ (pow a 2) (pow b 5))))) (/ a (pow b 3)))) (/ 1 b))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b (* a c)))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b (* a c))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b a))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* 1/2 (/ b a))) c))))) |
(* 4 (* a c)) |
(+ (* 2 (pow b 2)) (* 4 (* a c))) |
(+ (* 2 (pow b 2)) (* 4 (* a c))) |
(+ (* 2 (pow b 2)) (* 4 (* a c))) |
(* 2 (pow b 2)) |
(* (pow b 2) (+ 2 (* 4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 2 (* 4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 2 (* 4 (/ (* a c) (pow b 2))))) |
(* 2 (pow b 2)) |
(* (pow b 2) (+ 2 (* 4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 2 (* 4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 2 (* 4 (/ (* a c) (pow b 2))))) |
(* 2 (pow b 2)) |
(+ (* 2 (pow b 2)) (* 4 (* a c))) |
(+ (* 2 (pow b 2)) (* 4 (* a c))) |
(+ (* 2 (pow b 2)) (* 4 (* a c))) |
(* 4 (* a c)) |
(* a (+ (* 2 (/ (pow b 2) a)) (* 4 c))) |
(* a (+ (* 2 (/ (pow b 2) a)) (* 4 c))) |
(* a (+ (* 2 (/ (pow b 2) a)) (* 4 c))) |
(* 4 (* a c)) |
(* -1 (* a (+ (* -4 c) (* -2 (/ (pow b 2) a))))) |
(* -1 (* a (+ (* -4 c) (* -2 (/ (pow b 2) a))))) |
(* -1 (* a (+ (* -4 c) (* -2 (/ (pow b 2) a))))) |
(* 2 (pow b 2)) |
(+ (* 2 (pow b 2)) (* 4 (* a c))) |
(+ (* 2 (pow b 2)) (* 4 (* a c))) |
(+ (* 2 (pow b 2)) (* 4 (* a c))) |
(* 4 (* a c)) |
(* c (+ (* 2 (/ (pow b 2) c)) (* 4 a))) |
(* c (+ (* 2 (/ (pow b 2) c)) (* 4 a))) |
(* c (+ (* 2 (/ (pow b 2) c)) (* 4 a))) |
(* 4 (* a c)) |
(* -1 (* c (+ (* -4 a) (* -2 (/ (pow b 2) c))))) |
(* -1 (* c (+ (* -4 a) (* -2 (/ (pow b 2) c))))) |
(* -1 (* c (+ (* -4 a) (* -2 (/ (pow b 2) c))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* (sqrt (/ 1 (* a c))) (sqrt -1/4)) |
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))) |
(+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (sqrt -1/4)))) (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4))))))) |
(+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4)))) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/32 (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (* a (* c (pow (sqrt -1/4) 2))))) (* 1/256 (/ 1 (* (pow a 4) (pow c 4)))))) (sqrt -1/4)))) (* -1/2 (* (sqrt (* a c)) (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (sqrt -1/4))))))))) |
(/ 1 b) |
(/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b) |
(/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b) |
(/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b) |
(/ -1 b) |
(* -1 (/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b)) |
(/ 1 b) |
(+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b)) |
(+ (* c (+ (* -1/2 (* b (* c (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))))) (* 2 (/ a (pow b 3))))) (/ 1 b)) |
(+ (* c (+ (* 2 (/ a (pow b 3))) (* c (+ (* -1/2 (* b (* c (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))))))))) (/ 1 b)) |
(* (sqrt (/ 1 (* a c))) (sqrt -1/4)) |
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))) |
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))) |
(+ (* -1/2 (* (sqrt (/ a (pow c 7))) (/ (+ (* 1/1024 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow a 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))) |
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) |
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))) |
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ c (pow a 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1/256 (/ (* (pow b 4) c) (pow a 3))) (* 1/256 (/ (pow b 6) (pow a 4))))))) (pow c 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(/ 1 b) |
(+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b)) |
(+ (* a (+ (* -1/2 (* a (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))))) (* 2 (/ c (pow b 3))))) (/ 1 b)) |
(+ (* a (+ (* 2 (/ c (pow b 3))) (* a (+ (* -1/2 (* a (* b (+ (* -64 (/ (pow c 3) (pow b 8))) (* -2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))))))))) (/ 1 b)) |
(* (sqrt (/ 1 (* a c))) (sqrt -1/4)) |
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))) |
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))) |
(+ (* -1/2 (* (sqrt (/ c (pow a 7))) (/ (+ (* 1/1024 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow c 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))) |
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) |
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))) |
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ a (pow c 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4))))))) (pow a 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -2 b) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -2 (/ (* a c) b)) |
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)) |
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4))) |
(* 2 b) |
(* b (+ 2 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* 2 (/ (* a c) b)) |
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* -2 (/ (* a c) b))) |
(* -2 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (/ b c))) |
(* c (+ (* -2 (/ a b)) (/ b c))) |
(* c (+ (* -2 (/ a b)) (/ b c))) |
(* -2 (/ (* a c) b)) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b))))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b))))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b))))) |
(* -2 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (pow b 2)) b) |
(/ (+ (* -2 (* a c)) (pow b 2)) b) |
(/ (+ (* -2 (* a c)) (pow b 2)) b) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
b |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1))) |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1))) |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* -2 (/ (* a c) b))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (/ b a))) |
(* a (+ (* -2 (/ c b)) (/ b a))) |
(* a (+ (* -2 (/ c b)) (/ b a))) |
(* -2 (/ (* a c) b)) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(- b (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4))) |
(* 2 (/ (* a c) b)) |
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b) |
(/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b) |
(* 2 b) |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2))) |
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* 2 (/ (* a c) b)) |
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) |
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) |
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* 2 (/ (* a c) b)) |
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) |
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) |
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -1/2 (* b (- (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -1/2 (* b (- (* 2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (- (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))) (sqrt -4))))))) (* -1/2 (- (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(* -1/2 (/ (pow b 3) (* (pow a 2) c))) |
(* -1 (* (pow b 3) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/2 (/ 1 (* (pow a 2) c)))))) |
(* (pow b 3) (- (* 1/2 (/ (+ c (* 2 c)) (pow b 4))) (+ (/ 1/2 (* a (pow b 2))) (* 1/2 (/ 1 (* (pow a 2) c)))))) |
(* (pow b 3) (- (+ (* 1/2 (/ (+ c (* 2 c)) (pow b 4))) (* 1/2 (/ (+ (* -1 (* a (* c (+ c (* 2 c))))) (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))) (* 2 (* a (pow c 2))))) (pow b 6)))) (+ (/ 1/2 (* a (pow b 2))) (* 1/2 (/ 1 (* (pow a 2) c)))))) |
(* -1/2 (/ b a)) |
(* -1 (* b (+ (* 1/2 (/ (- (* 2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ (+ (* -1 (* a (* c (- (* 2 c) (* -1 c))))) (* -1 (* a (pow c 2)))) (pow b 4))) (+ (* 1/2 (/ (- (* 2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a)))))) |
(* -1 (* b (+ (* -1/2 (/ (+ (* -2 (* (pow a 2) (pow c 3))) (+ (* -1 (* (pow a 2) (* (pow c 2) (- (* 2 c) (* -1 c))))) (* a (* c (+ (* -1 (* a (* c (- (* 2 c) (* -1 c))))) (* -1 (* a (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -1 (* a (* c (- (* 2 c) (* -1 c))))) (* -1 (* a (pow c 2)))) (pow b 4))) (+ (* 1/2 (/ (- (* 2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a))))))) |
(* -1/2 (/ (pow b 3) (* (pow a 2) c))) |
(/ (+ (* -1/2 (* a (- (* 2 b) b))) (* -1/2 (/ (pow b 3) c))) (pow a 2)) |
(/ (+ (* -1/2 (/ (pow b 3) c)) (* a (+ (* -1/2 (- (* 2 b) b)) (* 1/2 (* a (+ (* 2 (/ c b)) (/ (* c (- (* 2 b) b)) (pow b 2)))))))) (pow a 2)) |
(/ (+ (* -1/2 (/ (pow b 3) c)) (* a (+ (* -1/2 (- (* 2 b) b)) (* a (+ (* 1/2 (* a (+ (* -1 (/ (* c (+ (* 2 (/ c b)) (/ (* c (- (* 2 b) b)) (pow b 2)))) (pow b 2))) (+ (* 1/4 (/ (* (pow b 3) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* 2 b) b)) (pow b 4))))))) (* 1/2 (+ (* 2 (/ c b)) (/ (* c (- (* 2 b) b)) (pow b 2))))))))) (pow a 2)) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(/ (+ (* -1/2 (/ (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))) a) |
(/ (+ (* -1/2 (/ (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (+ (* 1/2 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (pow a 2))) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) a) |
(/ (+ (* -1/2 (/ (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (+ (* 1/2 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (pow a 2))) (+ (* 1/2 (/ (+ (* 1/2 (/ (* a (* (pow b 2) (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ (* b (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))))) (sqrt -4)))) (pow a 3))) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))))) a) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ (+ (* -1/2 (/ (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)))))) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)))))) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 1/2 (/ (+ (* -1/8 (/ (* a (* (pow b 2) (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)))) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)))))) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a))) a)) (* 1/2 (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1/2 (/ (pow b 3) (* (pow a 2) c))) |
(/ (+ (* -1/2 (* c (- (* 2 (/ b a)) (/ b a)))) (* -1/2 (/ (pow b 3) (pow a 2)))) c) |
(/ (+ (* -1/2 (/ (pow b 3) (pow a 2))) (* c (+ (* -1/2 (- (* 2 (/ b a)) (/ b a))) (* 1/2 (* c (+ (* 2 (/ 1 b)) (/ (* a (- (* 2 (/ b a)) (/ b a))) (pow b 2)))))))) c) |
(/ (+ (* -1/2 (/ (pow b 3) (pow a 2))) (* c (+ (* -1/2 (- (* 2 (/ b a)) (/ b a))) (* c (+ (* 1/2 (* c (+ (* -1 (/ (* a (+ (* 2 (/ 1 b)) (/ (* a (- (* 2 (/ b a)) (/ b a))) (pow b 2)))) (pow b 2))) (+ (* 1/4 (/ (* (pow b 3) (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 3))) (* 2 (/ (* (pow a 2) (- (* 2 (/ b a)) (/ b a))) (pow b 4))))))) (* 1/2 (+ (* 2 (/ 1 b)) (/ (* a (- (* 2 (/ b a)) (/ b a))) (pow b 2))))))))) c) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* -1/2 (/ (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) |
(+ (* -1/2 (/ (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (+ (* 1/2 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4))))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))))) |
(+ (* -1/2 (/ (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (+ (* 1/2 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4))))) (pow c 2))) (+ (* 1/2 (/ (+ (* 1/2 (/ (* (pow b 2) (* c (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))))) (* a (pow (sqrt -4) 2)))) (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))))) (sqrt -4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 1/2 (/ (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)) c))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a))) (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))) c))) c))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (/ (* (pow b 2) (* c (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)))) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) c)) (* 1/2 (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))))) c)) (* -1/2 (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)))) c))) |
| Outputs |
|---|
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(fma.f64 b (fma.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) |
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(*.f64 b (+.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 c (*.f64 b b))) (/.f64 #s(literal -1 binary64) a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(*.f64 b (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b #s(literal 6 binary64))) (+.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 c (*.f64 b b))) (/.f64 #s(literal -1 binary64) a)))) |
(* -1 (/ c b)) |
(/.f64 c (neg.f64 b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) (neg.f64 b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) (fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 a a) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) c)) (neg.f64 b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 20 binary64)) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) (fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 a a) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) c))) (neg.f64 b)) |
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/.f64 (fma.f64 a (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)) (neg.f64 b)) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(/.f64 (fma.f64 a (fma.f64 a (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b)))) (/.f64 c b)) (neg.f64 b)) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a)))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 b #s(literal 1/2 binary64))) a)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/128 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))))) a)) a)) |
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(-.f64 (*.f64 c (fma.f64 a (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) b))) (/.f64 b a)) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(-.f64 (fma.f64 c (*.f64 c (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (/.f64 a (*.f64 b (*.f64 b b))))) (/.f64 c b)) (/.f64 b a)) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(*.f64 c (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 b (*.f64 c a))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(*.f64 c (fma.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))))) (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 b (*.f64 c a)))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(*.f64 c (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 b (*.f64 c a))) (fma.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (pow.f64 b #s(literal 4 binary64)))) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 b (*.f64 c a)))) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
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b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
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(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
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(* -1 b) |
(neg.f64 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
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(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
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b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64) b) |
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(* (sqrt (* a c)) (sqrt -4)) |
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(* -2 (* (sqrt (* a c)) (sqrt -1))) |
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b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64) b) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 c (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 a b))) b) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
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(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
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(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
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(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))) (neg.f64 c)) |
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(* (sqrt (/ 1 (* a c))) (sqrt -1/4)) |
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(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b) |
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 1 binary64)) b) |
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(*.f64 b #s(literal -2 binary64)) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 c a) b) b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
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(- (* 2 (/ (* a c) b)) (* 2 b)) |
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(* 2 (* (sqrt (* a c)) (sqrt -1))) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
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b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
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b |
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(* (sqrt (* a c)) (sqrt -4)) |
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(* -2 (* (sqrt (* a c)) (sqrt -1))) |
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b |
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(* -2 (* (sqrt (* a c)) (sqrt -1))) |
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(* 2 b) |
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b |
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(+ (* -1/2 (/ (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (+ (* 1/2 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4))))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 b (fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a))))) (neg.f64 (/.f64 (*.f64 c b) (neg.f64 a))))) (sqrt.f64 #s(literal -4 binary64))) (neg.f64 (sqrt.f64 (/.f64 c a))) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))))) (*.f64 c c)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a))))) (neg.f64 (/.f64 (*.f64 c b) (neg.f64 a)))) c) (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))) |
(+ (* -1/2 (/ (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (+ (* 1/2 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4))))) (pow c 2))) (+ (* 1/2 (/ (+ (* 1/2 (/ (* (pow b 2) (* c (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))))) (* a (pow (sqrt -4) 2)))) (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))))) (sqrt -4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a))))) (neg.f64 (/.f64 (*.f64 c b) (neg.f64 a)))) c) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b (fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a))))) (neg.f64 (/.f64 (*.f64 c b) (neg.f64 a))))) (sqrt.f64 #s(literal -4 binary64))) (neg.f64 (sqrt.f64 (/.f64 c a))) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))))) (*.f64 c c)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (*.f64 b (fma.f64 (/.f64 (*.f64 b (fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a))))) (neg.f64 (/.f64 (*.f64 c b) (neg.f64 a))))) (sqrt.f64 #s(literal -4 binary64))) (neg.f64 (sqrt.f64 (/.f64 c a))) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)))))))) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) c) (fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a))))) (neg.f64 (/.f64 (*.f64 c b) (neg.f64 a))))) a))) (*.f64 c (*.f64 c c)))) (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(neg.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 1/2 (/ (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)) c))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 c b) a))) c) (neg.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a))) (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))) c))) c))) |
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 c b) a))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 c b) a)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))))) c))) c))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (/ (* (pow b 2) (* c (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)))) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) c)) (* 1/2 (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))))) c)) (* -1/2 (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)))) c))) |
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 c b) a)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 c b) a)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))))))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 b b) c) (neg.f64 (fma.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 c b) a))))) a)) c) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 c b) a)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))))))) c)) c))) |
Compiled 192 798 to 8 790 computations (95.4% saved)
14 alts after pruning (13 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 3 334 | 7 | 3 341 |
| Fresh | 2 | 6 | 8 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 3 340 | 14 | 3 354 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 29.8% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))) |
| 62.5% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 b) a) (/.f64 (*.f64 a #s(literal 2 binary64)) (fma.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b) b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (fma.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b) b)))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) | |
| 52.2% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) | |
| ▶ | 63.2% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
| 56.4% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (sqrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) b))) | |
| 54.5% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))) | |
| 64.0% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) | |
| ✓ | 70.0% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))) |
| 64.9% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (*.f64 (neg.f64 b) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))))) | |
| ▶ | 70.1% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b))) |
| ▶ | 67.6% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
| ▶ | 51.4% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a)) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
| 58.5% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) | |
| 31.5% | (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b))) |
Compiled 1 168 to 682 computations (41.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 192 | (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
| ✓ | cost-diff | 704 | (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
| ✓ | cost-diff | 896 | (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) |
| ✓ | cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | cost-diff | 128 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
| ✓ | cost-diff | 128 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| ✓ | cost-diff | 960 | (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a)) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))) |
| ✓ | cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | cost-diff | 128 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
| ✓ | cost-diff | 128 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| ✓ | cost-diff | 512 | (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | cost-diff | 128 | (+.f64 (neg.f64 b) (neg.f64 b)) |
| ✓ | cost-diff | 192 | (-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) |
| ✓ | cost-diff | 512 | (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b))) |
| ✓ | cost-diff | 832 | (/.f64 (-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | cost-diff | 0 | (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) |
| ✓ | cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b))) |
| 8 398× | lower-fma.f32 |
| 8 388× | lower-fma.f64 |
| 5 544× | lower-*.f32 |
| 5 514× | lower-*.f64 |
| 2 598× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 858 |
| 0 | 108 | 837 |
| 1 | 216 | 813 |
| 2 | 553 | 765 |
| 3 | 1801 | 751 |
| 4 | 6469 | 747 |
| 0 | 8459 | 744 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) |
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) |
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) |
a |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
c |
(*.f64 b b) |
(*.f64 a #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b)) |
(*.f64 c #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) |
(neg.f64 b) |
(fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b) |
(/.f64 c b) |
c |
(*.f64 #s(literal -2 binary64) a) |
#s(literal -2 binary64) |
a |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b))) |
(*.f64 #s(literal 2 binary64) c) |
(+.f64 (neg.f64 b) (neg.f64 b)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 b #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
a |
(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) |
(*.f64 #s(literal 2 binary64) c) |
c |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a)) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a)) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))) |
(*.f64 #s(literal 4 binary64) (*.f64 c a)) |
#s(literal 4 binary64) |
(*.f64 c a) |
c |
a |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) |
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(*.f64 a #s(literal -4 binary64)) |
#s(literal -4 binary64) |
(*.f64 a #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) |
(*.f64 #s(literal 2 binary64) c) |
#s(literal 2 binary64) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 #s(literal 4 binary64) a) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))) |
(fma.f64 b b (fma.f64 b b (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(fma.f64 b b (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
a |
c |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) |
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(*.f64 a #s(literal -4 binary64)) |
#s(literal -4 binary64) |
(*.f64 a #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
(*.f64 #s(literal 2 binary64) c) |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
#s(literal 1 binary64) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) |
(neg.f64 b) |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) |
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) c) |
(*.f64 b b) |
(-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) |
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 a #s(literal -2 binary64))) |
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) |
(+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) |
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c)))) |
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) |
(fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))) |
a |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
c |
(*.f64 b b) |
(*.f64 a #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b)) |
(/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b)) |
(*.f64 c #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) |
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)) (/.f64 c (neg.f64 b))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)) |
(-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) |
(*.f64 #s(literal -2 binary64) (-.f64 b (/.f64 (*.f64 a c) b))) |
(neg.f64 b) |
(fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b) |
(fma.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64))) b) |
(/.f64 c b) |
c |
(*.f64 #s(literal -2 binary64) a) |
(*.f64 a #s(literal -2 binary64)) |
#s(literal -2 binary64) |
a |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 a #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b))) |
(/.f64 c (neg.f64 b)) |
(*.f64 #s(literal 2 binary64) c) |
(*.f64 c #s(literal 2 binary64)) |
(+.f64 (neg.f64 b) (neg.f64 b)) |
(-.f64 (neg.f64 b) b) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (neg.f64 b) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (neg.f64 b) a) |
(*.f64 b #s(literal -2 binary64)) |
(-.f64 (neg.f64 b) b) |
#s(literal -2 binary64) |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 a #s(literal 2 binary64)) |
#s(literal 2 binary64) |
a |
(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) |
(/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b)) |
(*.f64 #s(literal 2 binary64) c) |
(*.f64 c #s(literal 2 binary64)) |
c |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c)))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 a (*.f64 c #s(literal 4 binary64))) |
(*.f64 #s(literal 4 binary64) a) |
(*.f64 a #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a)) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 c #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a)) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))) |
(/.f64 (*.f64 c #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
(*.f64 #s(literal 4 binary64) (*.f64 c a)) |
(*.f64 a (*.f64 c #s(literal 4 binary64))) |
#s(literal 4 binary64) |
(*.f64 c a) |
(*.f64 a c) |
c |
a |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) |
(*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c)))) |
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(*.f64 a (*.f64 #s(literal -4 binary64) c)) |
(*.f64 a #s(literal -4 binary64)) |
#s(literal -4 binary64) |
(*.f64 a #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) |
(/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b)) |
(*.f64 #s(literal 2 binary64) c) |
(*.f64 c #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c)))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 a (*.f64 c #s(literal 4 binary64))) |
(*.f64 #s(literal 4 binary64) a) |
(*.f64 a #s(literal 4 binary64)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (fma.f64 b (+.f64 b b) (*.f64 a (*.f64 c #s(literal 4 binary64)))) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal 4 binary64))))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))) |
(/.f64 (fma.f64 b (+.f64 b b) (*.f64 a (*.f64 c #s(literal 4 binary64)))) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(fma.f64 b b (fma.f64 b b (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(fma.f64 b (+.f64 b b) (*.f64 a (*.f64 c #s(literal 4 binary64)))) |
(fma.f64 b b (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(fma.f64 b b (*.f64 a (*.f64 c #s(literal 4 binary64)))) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 a (*.f64 c #s(literal 4 binary64))) |
(*.f64 #s(literal 4 binary64) a) |
(*.f64 a #s(literal 4 binary64)) |
#s(literal 4 binary64) |
a |
c |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) |
(*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c)))) |
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(*.f64 a (*.f64 #s(literal -4 binary64) c)) |
(*.f64 a #s(literal -4 binary64)) |
#s(literal -4 binary64) |
(*.f64 a #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
(*.f64 (*.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal 4 binary64)))) |
(*.f64 #s(literal 2 binary64) c) |
(*.f64 c #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
(/.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
#s(literal 1 binary64) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) |
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 a (*.f64 #s(literal -4 binary64) c))) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
(neg.f64 b) |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) |
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c)))) |
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) |
(fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))) |
(*.f64 #s(literal -4 binary64) c) |
(*.f64 b b) |
(-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) |
(*.f64 a (*.f64 c #s(literal 4 binary64))) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 70.7% | (/.f64 (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))) |
| ✓ | accuracy | 65.1% | (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
| ✓ | accuracy | 65.1% | (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) |
| ✓ | accuracy | 52.0% | (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) |
| ✓ | accuracy | 81.6% | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| ✓ | accuracy | 68.0% | (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a)) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))) |
| ✓ | accuracy | 65.1% | (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
| ✓ | accuracy | 65.1% | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| ✓ | accuracy | 97.8% | (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) |
| ✓ | accuracy | 97.8% | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
| ✓ | accuracy | 81.6% | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| ✓ | accuracy | 65.1% | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| ✓ | accuracy | 100.0% | (-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) |
| ✓ | accuracy | 99.9% | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | accuracy | 96.6% | (/.f64 (-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | accuracy | 95.9% | (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b) |
| ✓ | accuracy | 94.0% | (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) |
| ✓ | accuracy | 81.6% | (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) |
| ✓ | accuracy | 78.7% | (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) |
| ✓ | accuracy | 65.1% | (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) |
| 166.0ms | 120× | 2 | valid |
| 79.0ms | 101× | 0 | valid |
| 23.0ms | 11× | 4 | valid |
| 23.0ms | 12× | 5 | exit |
| 11.0ms | 6× | 3 | valid |
| 4.0ms | 6× | 1 | valid |
Compiled 903 to 64 computations (92.9% saved)
ival-mult: 96.0ms (43.1% of total)ival-div: 34.0ms (15.3% of total)adjust: 27.0ms (12.1% of total)ival-add: 19.0ms (8.5% of total)ival-sub: 16.0ms (7.2% of total)ival-sqrt: 16.0ms (7.2% of total)ival-if: 11.0ms (4.9% of total)ival-neg: 2.0ms (0.9% of total)exact: 1.0ms (0.4% of total)ival->=: 1.0ms (0.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b)))> |
#<alt (>=.f64 b #s(literal 0 binary64))> |
#<alt (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64)))> |
#<alt (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))> |
#<alt (/.f64 (-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) (*.f64 #s(literal 2 binary64) a))> |
#<alt (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))> |
#<alt (-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b))> |
#<alt (+.f64 (neg.f64 b) (neg.f64 b))> |
#<alt (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a))> |
#<alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))> |
#<alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))> |
#<alt (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a)) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))))> |
#<alt (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))> |
#<alt (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))> |
#<alt (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 #s(literal 4 binary64) a) c)))> |
#<alt (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))> |
#<alt (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b)> |
#<alt (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)> |
#<alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))> |
#<alt (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))> |
#<alt (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))> |
#<alt (/.f64 (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))))> |
| Outputs |
|---|
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))> |
#<alt (if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))> |
#<alt (if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))> |
#<alt (if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))> |
#<alt (* -1 (/ b a))> |
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))> |
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))> |
#<alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))> |
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))> |
#<alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))> |
#<alt (* -1 (/ b a))> |
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)> |
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)> |
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1 (/ b a))> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))> |
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))> |
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#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
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#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
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#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))> |
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))> |
#<alt b> |
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#<alt (* -1 b)> |
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#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
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#<alt (* (sqrt (* a c)) (sqrt -4))> |
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#<alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)> |
#<alt (* -2 b)> |
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#<alt b> |
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#<alt (/ (+ (* -2 (* a c)) (pow b 2)) b)> |
#<alt (/ (+ (* -2 (* a c)) (pow b 2)) b)> |
#<alt b> |
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#<alt b> |
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#<alt b> |
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#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))> |
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))> |
#<alt b> |
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#<alt (* -1 b)> |
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#<alt b> |
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#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
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#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))> |
#<alt b> |
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#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
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#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))> |
#<alt (* -1 (/ b a))> |
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#<alt (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))> |
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#<alt (- (+ (* -1 (/ (+ (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
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#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c)))> |
#<alt (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))> |
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#<alt (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* -2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))> |
#<alt (* -1 (/ b a))> |
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#<alt (* -1 (/ b a))> |
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#<alt (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))> |
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#<alt (/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2))))) a)> |
#<alt (/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -2 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))))) a)> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a b)) (* 2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 2 (/ (+ (* 1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))> |
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))> |
#<alt b> |
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))> |
#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))> |
#<alt (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 b)> |
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))> |
#<alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))> |
#<alt b> |
#<alt (+ b (* -2 (/ (* a c) b)))> |
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))> |
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))> |
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))> |
#<alt b> |
#<alt (+ b (* -2 (/ (* a c) b)))> |
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))> |
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))> |
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))> |
#<alt (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))> |
#<alt (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))> |
#<alt (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -1/2 (* b (- (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))> |
#<alt (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -1/2 (* b (- (* 2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (- (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))) (sqrt -4))))))) (* -1/2 (- (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))> |
#<alt (* -1/2 (/ (pow b 3) (* (pow a 2) c)))> |
#<alt (* -1 (* (pow b 3) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/2 (/ 1 (* (pow a 2) c))))))> |
#<alt (* (pow b 3) (- (* 1/2 (/ (+ c (* 2 c)) (pow b 4))) (+ (/ 1/2 (* a (pow b 2))) (* 1/2 (/ 1 (* (pow a 2) c))))))> |
#<alt (* (pow b 3) (- (+ (* 1/2 (/ (+ c (* 2 c)) (pow b 4))) (* 1/2 (/ (+ (* -1 (* a (* c (+ c (* 2 c))))) (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))) (* 2 (* a (pow c 2))))) (pow b 6)))) (+ (/ 1/2 (* a (pow b 2))) (* 1/2 (/ 1 (* (pow a 2) c))))))> |
#<alt (* -1/2 (/ b a))> |
#<alt (* -1 (* b (+ (* 1/2 (/ (- (* 2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a)))))> |
#<alt (* -1 (* b (+ (* -1/2 (/ (+ (* -1 (* a (* c (- (* 2 c) (* -1 c))))) (* -1 (* a (pow c 2)))) (pow b 4))) (+ (* 1/2 (/ (- (* 2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a))))))> |
#<alt (* -1 (* b (+ (* -1/2 (/ (+ (* -2 (* (pow a 2) (pow c 3))) (+ (* -1 (* (pow a 2) (* (pow c 2) (- (* 2 c) (* -1 c))))) (* a (* c (+ (* -1 (* a (* c (- (* 2 c) (* -1 c))))) (* -1 (* a (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -1 (* a (* c (- (* 2 c) (* -1 c))))) (* -1 (* a (pow c 2)))) (pow b 4))) (+ (* 1/2 (/ (- (* 2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a)))))))> |
#<alt (* -1/2 (/ (pow b 3) (* (pow a 2) c)))> |
#<alt (/ (+ (* -1/2 (* a (- (* 2 b) b))) (* -1/2 (/ (pow b 3) c))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (/ (pow b 3) c)) (* a (+ (* -1/2 (- (* 2 b) b)) (* 1/2 (* a (+ (* 2 (/ c b)) (/ (* c (- (* 2 b) b)) (pow b 2)))))))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (/ (pow b 3) c)) (* a (+ (* -1/2 (- (* 2 b) b)) (* a (+ (* 1/2 (* a (+ (* -1 (/ (* c (+ (* 2 (/ c b)) (/ (* c (- (* 2 b) b)) (pow b 2)))) (pow b 2))) (+ (* 1/4 (/ (* (pow b 3) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* 2 b) b)) (pow b 4))))))) (* 1/2 (+ (* 2 (/ c b)) (/ (* c (- (* 2 b) b)) (pow b 2))))))))) (pow a 2))> |
#<alt (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))> |
#<alt (/ (+ (* -1/2 (/ (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))) a)> |
#<alt (/ (+ (* -1/2 (/ (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (+ (* 1/2 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (pow a 2))) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) a)> |
#<alt (/ (+ (* -1/2 (/ (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (+ (* 1/2 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (pow a 2))) (+ (* 1/2 (/ (+ (* 1/2 (/ (* a (* (pow b 2) (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ (* b (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))))) (sqrt -4)))) (pow a 3))) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))))) a)> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1 (/ (+ (* -1/2 (/ (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)) a)) (* (sqrt (* a c)) (sqrt -1))) a))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)))))) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)))))) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 1/2 (/ (+ (* -1/8 (/ (* a (* (pow b 2) (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)))) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)))))) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a))) a)) (* 1/2 (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)))) a)) (* (sqrt (* a c)) (sqrt -1))) a))> |
#<alt (* -1/2 (/ (pow b 3) (* (pow a 2) c)))> |
#<alt (/ (+ (* -1/2 (* c (- (* 2 (/ b a)) (/ b a)))) (* -1/2 (/ (pow b 3) (pow a 2)))) c)> |
#<alt (/ (+ (* -1/2 (/ (pow b 3) (pow a 2))) (* c (+ (* -1/2 (- (* 2 (/ b a)) (/ b a))) (* 1/2 (* c (+ (* 2 (/ 1 b)) (/ (* a (- (* 2 (/ b a)) (/ b a))) (pow b 2)))))))) c)> |
#<alt (/ (+ (* -1/2 (/ (pow b 3) (pow a 2))) (* c (+ (* -1/2 (- (* 2 (/ b a)) (/ b a))) (* c (+ (* 1/2 (* c (+ (* -1 (/ (* a (+ (* 2 (/ 1 b)) (/ (* a (- (* 2 (/ b a)) (/ b a))) (pow b 2)))) (pow b 2))) (+ (* 1/4 (/ (* (pow b 3) (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 3))) (* 2 (/ (* (pow a 2) (- (* 2 (/ b a)) (/ b a))) (pow b 4))))))) (* 1/2 (+ (* 2 (/ 1 b)) (/ (* a (- (* 2 (/ b a)) (/ b a))) (pow b 2))))))))) c)> |
#<alt (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))> |
#<alt (+ (* -1/2 (/ (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))))> |
#<alt (+ (* -1/2 (/ (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (+ (* 1/2 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4))))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))))> |
#<alt (+ (* -1/2 (/ (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (+ (* 1/2 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4))))) (pow c 2))) (+ (* 1/2 (/ (+ (* 1/2 (/ (* (pow b 2) (* c (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))))) (* a (pow (sqrt -4) 2)))) (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))))) (sqrt -4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))))))> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 1/2 (/ (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)) c)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a))) (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))) c))) c)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (/ (* (pow b 2) (* c (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)))) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) c)) (* 1/2 (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))))) c)) (* -1/2 (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)))) c)))> |
189 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | b | @ | inf | (/ 1 (/ (- (neg b) (sqrt (+ (* a (* -4 c)) (* b b)))) (- (* b b) (+ (* a (* -4 c)) (* b b))))) |
| 7.0ms | b | @ | 0 | (if (>= b 0) (/ (+ b (sqrt (+ (* a (* -4 c)) (* b b)))) (* a -2)) (/ (* c 2) (- (sqrt (+ (* a (* -4 c)) (* b b))) b))) |
| 1.0ms | c | @ | inf | (/ 1 (/ (- (neg b) (sqrt (+ (* a (* -4 c)) (* b b)))) (- (* b b) (+ (* a (* -4 c)) (* b b))))) |
| 1.0ms | a | @ | inf | (/ (* 4 (* c a)) (* (- b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2))) |
| 1.0ms | a | @ | inf | (/ 1 (/ (- (neg b) (sqrt (+ (* a (* -4 c)) (* b b)))) (- (* b b) (+ (* a (* -4 c)) (* b b))))) |
| 1× | batch-egg-rewrite |
| 5 998× | lower-*.f32 |
| 5 968× | lower-*.f64 |
| 5 862× | lower-fma.f32 |
| 5 852× | lower-fma.f64 |
| 3 720× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 325 |
| 0 | 104 | 318 |
| 1 | 442 | 268 |
| 2 | 3826 | 268 |
| 0 | 9580 | 266 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b))) |
(>=.f64 b #s(literal 0 binary64)) |
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) |
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) |
(/.f64 (-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b))) |
(-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) |
(+.f64 (neg.f64 b) (neg.f64 b)) |
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a)) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))) |
(-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
(fma.f64 b b (fma.f64 b b (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) |
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) |
(fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) |
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(/.f64 (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b))) |
(>=.f64 b #s(literal 0 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b)))) |
(neg.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64)))) |
(neg.f64 (/.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))) |
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) |
(/.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
(/.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) a))) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))) |
(/.f64 (fma.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 (fma.f64 b (+.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))) |
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) a) #s(literal -2 binary64)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 1 binary64)) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
(/.f64 (*.f64 (fma.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 b (*.f64 b b))) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 b (+.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) a)) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))) (neg.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b)))) |
(/.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #s(literal 1 binary64)) (*.f64 a #s(literal -2 binary64))) |
(/.f64 (*.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
(/.f64 (*.f64 (/.f64 #s(literal -4 binary64) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b)) (*.f64 a c)) (*.f64 a #s(literal -2 binary64))) |
(/.f64 (*.f64 (fma.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a)) (-.f64 (fma.f64 b (+.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (/.f64 #s(literal -1/2 binary64) a)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 a (/.f64 c (*.f64 a #s(literal -2 binary64))))) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #s(literal -2 binary64)) a) |
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (*.f64 a #s(literal -2 binary64))) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (*.f64 a (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) #s(literal -2 binary64)) |
(pow.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal -2 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) a)) #s(literal -1 binary64)) |
(*.f64 c (*.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))))) |
(*.f64 c (/.f64 (*.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))) |
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) a)) |
(*.f64 #s(literal 4 binary64) (/.f64 (*.f64 a c) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))) |
(*.f64 (*.f64 a #s(literal 4 binary64)) (*.f64 c (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))))) |
(*.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 c (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))) |
(*.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))) |
(*.f64 (*.f64 a c) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))))) |
(*.f64 (*.f64 a c) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))) |
(*.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64)))) |
(*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1/2 binary64) a)) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (pow.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 c (*.f64 a #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -4 binary64) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b)) (*.f64 a (/.f64 c (*.f64 a #s(literal -2 binary64))))) |
(*.f64 (*.f64 a (/.f64 c (*.f64 a #s(literal -2 binary64)))) (/.f64 #s(literal -4 binary64) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (*.f64 c (*.f64 a #s(literal 4 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))))) |
(*.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 a (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))) |
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) a) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) #s(literal 4 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) a)) |
(*.f64 (/.f64 c (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 a #s(literal 4 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
(*.f64 (/.f64 (*.f64 a #s(literal 4 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (/.f64 c (*.f64 a #s(literal -2 binary64)))) |
(*.f64 (/.f64 c (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (/.f64 (*.f64 a #s(literal 4 binary64)) (*.f64 a #s(literal -2 binary64)))) |
(*.f64 (/.f64 (*.f64 a #s(literal 4 binary64)) (*.f64 a #s(literal -2 binary64))) (/.f64 c (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
(*.f64 (/.f64 c (*.f64 a (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (/.f64 (*.f64 a #s(literal 4 binary64)) #s(literal -2 binary64))) |
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 a c) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
(*.f64 (/.f64 (*.f64 a c) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (/.f64 #s(literal 4 binary64) (*.f64 a #s(literal -2 binary64)))) |
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 a (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (/.f64 (*.f64 a c) #s(literal -2 binary64))) |
(*.f64 (/.f64 (*.f64 a #s(literal 4 binary64)) (*.f64 a (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (/.f64 c #s(literal -2 binary64))) |
(*.f64 (/.f64 (*.f64 a c) (*.f64 a (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) #s(literal -2 binary64)) |
(*.f64 (/.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a #s(literal -2 binary64))) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
(*.f64 (/.f64 (*.f64 c #s(literal 4 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (/.f64 a (*.f64 a #s(literal -2 binary64)))) |
(*.f64 (/.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (/.f64 a #s(literal -2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (pow.f64 (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 a #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) c) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) c) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a c)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a c)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) c) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) c) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 a #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 c #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) a) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 c #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) a) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 a (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) c) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) (*.f64 a #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 a (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) (*.f64 a c)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 a (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) c) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 a (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 a c)) #s(literal -1 binary64)) #s(literal -2 binary64)) |
(*.f64 (pow.f64 (/.f64 (*.f64 a (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 c #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) a) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 b (+.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))) |
(*.f64 (pow.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) |
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(*.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal 64 binary64)) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64)))) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal 1/2 binary64))) |
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(*.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal 64 binary64)) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64)))) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal 64 binary64)) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64))))))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal 64 binary64)) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 b b)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal 64 binary64)) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64)))) (*.f64 (*.f64 b b) (*.f64 b b)))))) |
(*.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64))))) (*.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64)))))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64))))) (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal 64 binary64)) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (-.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (*.f64 b b)))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64))))) (*.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64))))))) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) |
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64))))) (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal 64 binary64)) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))))) (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (-.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (*.f64 b b)))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 b (+.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64))))))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (fma.f64 b (+.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64)))) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 b (+.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64))))) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 b (+.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 b (+.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64)))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (fma.f64 b (+.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64)))) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))) |
(/.f64 (fma.f64 b (+.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64)))) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 b (+.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64)))))))) |
(/.f64 (neg.f64 (fma.f64 b (+.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64))))) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b))) |
(/.f64 (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (fma.f64 b (+.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64))))) (*.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(/.f64 (*.f64 (fma.f64 b (+.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64)))) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) |
(/.f64 (/.f64 (fma.f64 b (+.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64)))) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64))) |
(/.f64 (*.f64 (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (fma.f64 b (+.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64))))) #s(literal 1 binary64)) (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 b (+.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64)))) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 1 binary64)) (*.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 b (+.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64)))))) (neg.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b)))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 b (+.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64)))) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (*.f64 (fma.f64 b (+.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (fma.f64 b (+.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 b (+.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64)))) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))) (*.f64 a (*.f64 #s(literal -4 binary64) c))) |
(/.f64 (/.f64 (fma.f64 b (+.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64)))) (*.f64 a #s(literal -2 binary64))) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
(/.f64 (/.f64 (fma.f64 b (+.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64)))) (*.f64 a (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) #s(literal -2 binary64)) |
(/.f64 (/.f64 (/.f64 (fma.f64 b (+.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64)))) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) a) #s(literal -2 binary64)) |
(/.f64 (/.f64 (/.f64 (fma.f64 b (+.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64)))) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) #s(literal -2 binary64)) a) |
(pow.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 b (+.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 b (+.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64)))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (fma.f64 b (+.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64)))) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (+.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64)))) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))) |
(*.f64 (fma.f64 b (+.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))) |
(*.f64 (neg.f64 (fma.f64 b (+.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (pow.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 b (+.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (fma.f64 b (+.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64)))) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (fma.f64 b (+.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (+.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 b (+.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64)))) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (/.f64 #s(literal -1/2 binary64) a)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (pow.f64 (/.f64 #s(literal -2 binary64) (fma.f64 b (+.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64))))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (fma.f64 b (+.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 (fma.f64 b (+.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64)))) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) |
| 1× | egg-herbie |
| 7 408× | lower-fma.f64 |
| 7 408× | lower-fma.f32 |
| 6 886× | lower-*.f64 |
| 6 886× | lower-*.f32 |
| 4 630× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1510 | 16924 |
| 1 | 5167 | 16361 |
| 0 | 8145 | 15669 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4))) |
(* 2 b) |
(* b (+ 2 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* 2 (/ (* a c) b)) |
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(/ c b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(/ c b) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(/ c b) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ c b) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(/ c b) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* 2 (/ (* a c) b)) |
(/ (- (* -2 (pow b 2)) (* -2 (* a c))) b) |
(/ (- (* -2 (pow b 2)) (* -2 (* a c))) b) |
(/ (- (* -2 (pow b 2)) (* -2 (* a c))) b) |
(* -2 b) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(* 2 (/ (* a c) b)) |
(* c (- (* -2 (/ b c)) (* -2 (/ a b)))) |
(* c (- (* -2 (/ b c)) (* -2 (/ a b)))) |
(* c (- (* -2 (/ b c)) (* -2 (/ a b)))) |
(* 2 (/ (* a c) b)) |
(* -1 (* c (- (* 2 (/ b c)) (* 2 (/ a b))))) |
(* -1 (* c (- (* 2 (/ b c)) (* 2 (/ a b))))) |
(* -1 (* c (- (* 2 (/ b c)) (* 2 (/ a b))))) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(* 2 (/ (* a c) b)) |
(* a (- (* -2 (/ b a)) (* -2 (/ c b)))) |
(* a (- (* -2 (/ b a)) (* -2 (/ c b)))) |
(* a (- (* -2 (/ b a)) (* -2 (/ c b)))) |
(* 2 (/ (* a c) b)) |
(* -1 (* a (- (* 2 (/ b a)) (* 2 (/ c b))))) |
(* -1 (* a (- (* 2 (/ b a)) (* 2 (/ c b))))) |
(* -1 (* a (- (* 2 (/ b a)) (* 2 (/ c b))))) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -2 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -4 (* a c)) |
(- (pow b 2) (* 4 (* a c))) |
(- (pow b 2) (* 4 (* a c))) |
(- (pow b 2) (* 4 (* a c))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -4 (* a c)) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* -4 (* a c)) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -4 (* a c)) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* -4 (* a c)) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (* 2 (* c (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3))))) (/ 1 b)))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (* c (+ (* -1 (/ (* a (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow a 2) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))))))) (* 2 (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3)))))) (/ 1 b)))) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -1 (/ (+ (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c))) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (* 2 (* a (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3))))) (/ c b)))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (* a (+ (* -1 (/ (* c (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow c 3) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)))))) (* 2 (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3)))))) (/ c b)))) a) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2))))) a) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2))) (* 2 (/ (+ (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (pow a 3)))))) a) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a)) (* 2 (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (sqrt -4)))))) (* 2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (* 2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (/ c (pow b 2))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2)))))) (+ (* -1 (* (pow a 2) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (+ (* 2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2)))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (+ (* 4 (* b (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))))) (* 4 (/ 1 (pow (sqrt -4) 2)))))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -4 (* b (- (* 1/2 (/ 1 (* a (* c (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))))))) (* 4 (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 4 (/ 1 (pow (sqrt -4) 2)))))) |
(* -2 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (+ (* -2 (* (pow a 4) (pow c 4))) (* -1/2 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (+ (* -1/2 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b 4))) (* -2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (+ (* -1 (* (pow a 3) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a c))))) (pow b 6))) (+ (* -4 (/ (+ (* -1/2 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b 4))) (* -2 (/ (* a c) (pow b 2)))))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* 4 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7)))))))))))) |
(* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2)))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 4 (/ b (pow (sqrt -4) 2))) (* 4 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 4 (/ b (pow (sqrt -4) 2))) (+ (* 4 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4))))) (pow a 3))) (* 4 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2)))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(+ (* -1 b) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(+ (* -1 (/ (+ (* 4 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* a b)) a)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -4 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 4 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow a 2) (pow b 3)) c))) a))) a)) (* a b)) a)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(* -2 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* 4 (* c (+ (* -2 (/ (pow a 4) (pow b 7))) (* -1/2 (/ (pow a 4) (pow b 7)))))))))))) |
(* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2)))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 4 (/ b (pow (sqrt -4) 2))) (* 4 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 4 (/ b (pow (sqrt -4) 2))) (+ (* 4 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4))))) (pow c 3))) (* 4 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2)))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(+ (* -1 b) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(+ (* -1 (/ (+ (* 4 (/ (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))) c)) (* b c)) c)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -4 (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) (* 4 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow b 3) (pow c 2)) a))) c))) c)) (* b c)) c)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(* 4 (* a c)) |
(+ (* 2 (pow b 2)) (* 4 (* a c))) |
(+ (* 2 (pow b 2)) (* 4 (* a c))) |
(+ (* 2 (pow b 2)) (* 4 (* a c))) |
(* 2 (pow b 2)) |
(* (pow b 2) (+ 2 (* 4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 2 (* 4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 2 (* 4 (/ (* a c) (pow b 2))))) |
(* 2 (pow b 2)) |
(* (pow b 2) (+ 2 (* 4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 2 (* 4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 2 (* 4 (/ (* a c) (pow b 2))))) |
(* 2 (pow b 2)) |
(+ (* 2 (pow b 2)) (* 4 (* a c))) |
(+ (* 2 (pow b 2)) (* 4 (* a c))) |
(+ (* 2 (pow b 2)) (* 4 (* a c))) |
(* 4 (* a c)) |
(* a (+ (* 2 (/ (pow b 2) a)) (* 4 c))) |
(* a (+ (* 2 (/ (pow b 2) a)) (* 4 c))) |
(* a (+ (* 2 (/ (pow b 2) a)) (* 4 c))) |
(* 4 (* a c)) |
(* -1 (* a (+ (* -4 c) (* -2 (/ (pow b 2) a))))) |
(* -1 (* a (+ (* -4 c) (* -2 (/ (pow b 2) a))))) |
(* -1 (* a (+ (* -4 c) (* -2 (/ (pow b 2) a))))) |
(* 2 (pow b 2)) |
(+ (* 2 (pow b 2)) (* 4 (* a c))) |
(+ (* 2 (pow b 2)) (* 4 (* a c))) |
(+ (* 2 (pow b 2)) (* 4 (* a c))) |
(* 4 (* a c)) |
(* c (+ (* 2 (/ (pow b 2) c)) (* 4 a))) |
(* c (+ (* 2 (/ (pow b 2) c)) (* 4 a))) |
(* c (+ (* 2 (/ (pow b 2) c)) (* 4 a))) |
(* 4 (* a c)) |
(* -1 (* c (+ (* -4 a) (* -2 (/ (pow b 2) c))))) |
(* -1 (* c (+ (* -4 a) (* -2 (/ (pow b 2) c))))) |
(* -1 (* c (+ (* -4 a) (* -2 (/ (pow b 2) c))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -2 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* -2 (/ (* a c) b))) |
(* -2 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (/ b c))) |
(* c (+ (* -2 (/ a b)) (/ b c))) |
(* c (+ (* -2 (/ a b)) (/ b c))) |
(* -2 (/ (* a c) b)) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b))))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b))))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b))))) |
(* -2 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (pow b 2)) b) |
(/ (+ (* -2 (* a c)) (pow b 2)) b) |
(/ (+ (* -2 (* a c)) (pow b 2)) b) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
b |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1))) |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1))) |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* -2 (/ (* a c) b))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (/ b a))) |
(* a (+ (* -2 (/ c b)) (/ b a))) |
(* a (+ (* -2 (/ c b)) (/ b a))) |
(* -2 (/ (* a c) b)) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (* -2 (* c (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (/ 1 b)))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* -2 (* c (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (/ (pow a 2) (pow b 5)))))) (* -2 (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))))) (/ 1 b)))) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -1 (/ (+ (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c))) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* -2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2))) (/ 1 a))) |
(* b (- (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (* -2 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (/ c b)))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -2 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))))) (/ c b)))) a) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a) |
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2))))) a) |
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -2 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))))) a) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a b)) (* 2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 2 (/ (+ (* 1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -1/2 (* b (- (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -1/2 (* b (- (* 2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (- (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))) (sqrt -4))))))) (* -1/2 (- (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(* -1/2 (/ (pow b 3) (* (pow a 2) c))) |
(* -1 (* (pow b 3) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/2 (/ 1 (* (pow a 2) c)))))) |
(* (pow b 3) (- (* 1/2 (/ (+ c (* 2 c)) (pow b 4))) (+ (/ 1/2 (* a (pow b 2))) (* 1/2 (/ 1 (* (pow a 2) c)))))) |
(* (pow b 3) (- (+ (* 1/2 (/ (+ c (* 2 c)) (pow b 4))) (* 1/2 (/ (+ (* -1 (* a (* c (+ c (* 2 c))))) (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))) (* 2 (* a (pow c 2))))) (pow b 6)))) (+ (/ 1/2 (* a (pow b 2))) (* 1/2 (/ 1 (* (pow a 2) c)))))) |
(* -1/2 (/ b a)) |
(* -1 (* b (+ (* 1/2 (/ (- (* 2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ (+ (* -1 (* a (* c (- (* 2 c) (* -1 c))))) (* -1 (* a (pow c 2)))) (pow b 4))) (+ (* 1/2 (/ (- (* 2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a)))))) |
(* -1 (* b (+ (* -1/2 (/ (+ (* -2 (* (pow a 2) (pow c 3))) (+ (* -1 (* (pow a 2) (* (pow c 2) (- (* 2 c) (* -1 c))))) (* a (* c (+ (* -1 (* a (* c (- (* 2 c) (* -1 c))))) (* -1 (* a (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -1 (* a (* c (- (* 2 c) (* -1 c))))) (* -1 (* a (pow c 2)))) (pow b 4))) (+ (* 1/2 (/ (- (* 2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a))))))) |
(* -1/2 (/ (pow b 3) (* (pow a 2) c))) |
(/ (+ (* -1/2 (* a (- (* 2 b) b))) (* -1/2 (/ (pow b 3) c))) (pow a 2)) |
(/ (+ (* -1/2 (/ (pow b 3) c)) (* a (+ (* -1/2 (- (* 2 b) b)) (* 1/2 (* a (+ (* 2 (/ c b)) (/ (* c (- (* 2 b) b)) (pow b 2)))))))) (pow a 2)) |
(/ (+ (* -1/2 (/ (pow b 3) c)) (* a (+ (* -1/2 (- (* 2 b) b)) (* a (+ (* 1/2 (* a (+ (* -1 (/ (* c (+ (* 2 (/ c b)) (/ (* c (- (* 2 b) b)) (pow b 2)))) (pow b 2))) (+ (* 1/4 (/ (* (pow b 3) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* 2 b) b)) (pow b 4))))))) (* 1/2 (+ (* 2 (/ c b)) (/ (* c (- (* 2 b) b)) (pow b 2))))))))) (pow a 2)) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(/ (+ (* -1/2 (/ (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))) a) |
(/ (+ (* -1/2 (/ (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (+ (* 1/2 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (pow a 2))) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) a) |
(/ (+ (* -1/2 (/ (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (+ (* 1/2 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (pow a 2))) (+ (* 1/2 (/ (+ (* 1/2 (/ (* a (* (pow b 2) (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ (* b (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))))) (sqrt -4)))) (pow a 3))) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))))) a) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ (+ (* -1/2 (/ (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)))))) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)))))) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 1/2 (/ (+ (* -1/8 (/ (* a (* (pow b 2) (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)))) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)))))) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a))) a)) (* 1/2 (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1/2 (/ (pow b 3) (* (pow a 2) c))) |
(/ (+ (* -1/2 (* c (- (* 2 (/ b a)) (/ b a)))) (* -1/2 (/ (pow b 3) (pow a 2)))) c) |
(/ (+ (* -1/2 (/ (pow b 3) (pow a 2))) (* c (+ (* -1/2 (- (* 2 (/ b a)) (/ b a))) (* 1/2 (* c (+ (* 2 (/ 1 b)) (/ (* a (- (* 2 (/ b a)) (/ b a))) (pow b 2)))))))) c) |
(/ (+ (* -1/2 (/ (pow b 3) (pow a 2))) (* c (+ (* -1/2 (- (* 2 (/ b a)) (/ b a))) (* c (+ (* 1/2 (* c (+ (* -1 (/ (* a (+ (* 2 (/ 1 b)) (/ (* a (- (* 2 (/ b a)) (/ b a))) (pow b 2)))) (pow b 2))) (+ (* 1/4 (/ (* (pow b 3) (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 3))) (* 2 (/ (* (pow a 2) (- (* 2 (/ b a)) (/ b a))) (pow b 4))))))) (* 1/2 (+ (* 2 (/ 1 b)) (/ (* a (- (* 2 (/ b a)) (/ b a))) (pow b 2))))))))) c) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* -1/2 (/ (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) |
(+ (* -1/2 (/ (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (+ (* 1/2 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4))))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))))) |
(+ (* -1/2 (/ (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (+ (* 1/2 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4))))) (pow c 2))) (+ (* 1/2 (/ (+ (* 1/2 (/ (* (pow b 2) (* c (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))))) (* a (pow (sqrt -4) 2)))) (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))))) (sqrt -4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 1/2 (/ (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)) c))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a))) (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))) c))) c))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (/ (* (pow b 2) (* c (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)))) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) c)) (* 1/2 (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))))) c)) (* -1/2 (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)))) c))) |
| Outputs |
|---|
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c))) b))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c))) b))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c))) b))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c))) b))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
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(* 4 (* a c)) |
(*.f64 (*.f64 a c) #s(literal 4 binary64)) |
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(fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 b b))) |
(+ (* 2 (pow b 2)) (* 4 (* a c))) |
(fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 b b))) |
(+ (* 2 (pow b 2)) (* 4 (* a c))) |
(fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 b b))) |
(* 2 (pow b 2)) |
(*.f64 #s(literal 2 binary64) (*.f64 b b)) |
(* (pow b 2) (+ 2 (* 4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 2 binary64))) |
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(*.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 2 binary64))) |
(* (pow b 2) (+ 2 (* 4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 2 binary64))) |
(* 2 (pow b 2)) |
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(*.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 2 binary64))) |
(* (pow b 2) (+ 2 (* 4 (/ (* a c) (pow b 2))))) |
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(* (pow b 2) (+ 2 (* 4 (/ (* a c) (pow b 2))))) |
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(* 2 (pow b 2)) |
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(fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 b b))) |
(+ (* 2 (pow b 2)) (* 4 (* a c))) |
(fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 b b))) |
(+ (* 2 (pow b 2)) (* 4 (* a c))) |
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(* 4 (* a c)) |
(*.f64 (*.f64 a c) #s(literal 4 binary64)) |
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(* 4 (* a c)) |
(*.f64 (*.f64 a c) #s(literal 4 binary64)) |
(* -1 (* a (+ (* -4 c) (* -2 (/ (pow b 2) a))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 b b) a) (*.f64 #s(literal -4 binary64) c)) (neg.f64 a)) |
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(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 b b) a) (*.f64 #s(literal -4 binary64) c)) (neg.f64 a)) |
(* 2 (pow b 2)) |
(*.f64 #s(literal 2 binary64) (*.f64 b b)) |
(+ (* 2 (pow b 2)) (* 4 (* a c))) |
(fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 b b))) |
(+ (* 2 (pow b 2)) (* 4 (* a c))) |
(fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 b b))) |
(+ (* 2 (pow b 2)) (* 4 (* a c))) |
(fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 b b))) |
(* 4 (* a c)) |
(*.f64 (*.f64 a c) #s(literal 4 binary64)) |
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(* 4 (* a c)) |
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(* -1 (* c (+ (* -4 a) (* -2 (/ (pow b 2) c))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 b b) c) (*.f64 #s(literal -4 binary64) a)) (neg.f64 c)) |
(* -1 (* c (+ (* -4 a) (* -2 (/ (pow b 2) c))))) |
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(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 b b) c) (*.f64 #s(literal -4 binary64) a)) (neg.f64 c)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b) b) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) |
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(* -2 (* (sqrt (* a c)) (sqrt -1))) |
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(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
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b |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) |
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(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
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(* (sqrt (* a c)) (sqrt -4)) |
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(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))) |
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b |
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(*.f64 (neg.f64 b) (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64))) |
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b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b) b) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) |
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(* -2 (* (sqrt (* a c)) (sqrt -1))) |
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b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b) b) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) |
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(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
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(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
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(* -1/2 (/ (pow b 3) (* (pow a 2) c))) |
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(* -1/2 (/ b a)) |
(/.f64 (*.f64 b #s(literal -1/2 binary64)) a) |
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(fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 b c) a))) c) (neg.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a))) (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))) c))) c))) |
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 b c) a))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 b c) a)))))) c))) c))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (/ (* (pow b 2) (* c (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)))) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) c)) (* 1/2 (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))))) c)) (* -1/2 (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)))) c))) |
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 b c) a)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 b c) a))))))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 b b) c) (neg.f64 (fma.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 b c) a))))) a)) c) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 b c) a)))))))) c)) c))) |
Compiled 161 307 to 7 564 computations (95.3% saved)
22 alts after pruning (21 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 784 | 18 | 2 802 |
| Fresh | 5 | 3 | 8 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 0 | 1 |
| Total | 2 794 | 22 | 2 816 |
| Status | Accuracy | Program |
|---|---|---|
| 42.0% | (if (>=.f64 b #s(literal 0 binary64)) (pow.f64 (*.f64 (+.f64 b b) (*.f64 a #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) | |
| 63.2% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) | |
| 62.5% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 b) a) (/.f64 (*.f64 a #s(literal 2 binary64)) (fma.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b) b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (fma.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b) b)))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) | |
| 30.5% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 #s(literal 1/2 binary64) (neg.f64 b)))) | |
| 63.1% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) (*.f64 #s(literal 2 binary64) a)) (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) c) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 b) #s(literal 2 binary64)) #s(literal -1 binary64)))) | |
| 50.1% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))) | |
| ✓ | 70.1% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b))) |
| ▶ | 65.0% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (neg.f64 (*.f64 b (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 2 binary64)))))) |
| ▶ | 45.9% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
| 52.1% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c))))) | |
| 63.1% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 b #s(literal -2 binary64)))) | |
| ▶ | 29.3% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (neg.f64 a))) |
| 67.4% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 c #s(literal 2 binary64))))) | |
| 47.7% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) | |
| ▶ | 67.6% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) c)) |
| 37.2% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 c b) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) | |
| 58.5% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) | |
| 63.3% | (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) | |
| 51.4% | (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (*.f64 a c) (*.f64 a (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) #s(literal -2 binary64)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b))) | |
| 31.5% | (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b))) | |
| 56.1% | (if (>=.f64 b #s(literal 0 binary64)) (*.f64 c (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c)))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) | |
| ▶ | 61.6% | (if (>=.f64 b #s(literal 0 binary64)) (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
Compiled 1 381 to 835 computations (39.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (*.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
| ✓ | cost-diff | 192 | (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 #s(literal -4 binary64) c))) |
| ✓ | cost-diff | 512 | (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | cost-diff | 960 | (/.f64 (*.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) |
| ✓ | cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | cost-diff | 128 | (neg.f64 (*.f64 b (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 2 binary64)))) |
| ✓ | cost-diff | 512 | (*.f64 b (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 2 binary64))) |
| ✓ | cost-diff | 512 | (/.f64 (*.f64 c #s(literal 2 binary64)) (neg.f64 (*.f64 b (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 2 binary64))))) |
| ✓ | cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | cost-diff | 128 | (+.f64 (neg.f64 b) (neg.f64 b)) |
| ✓ | cost-diff | 512 | (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b))) |
| ✓ | cost-diff | 640 | (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) |
| ✓ | cost-diff | 0 | (*.f64 b #s(literal -2 binary64)) |
| ✓ | cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | cost-diff | 385 | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (neg.f64 a))) |
| ✓ | cost-diff | 512 | (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 2 binary64) a) |
| ✓ | cost-diff | 0 | (*.f64 b #s(literal -2 binary64)) |
| ✓ | cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | cost-diff | 512 | (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) |
| 7 264× | lower-fma.f32 |
| 7 260× | lower-fma.f64 |
| 4 988× | lower-*.f32 |
| 4 962× | lower-*.f64 |
| 2 952× | lower-/.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 551 |
| 0 | 84 | 539 |
| 1 | 165 | 512 |
| 2 | 428 | 503 |
| 3 | 1666 | 465 |
| 4 | 7826 | 463 |
| 0 | 8104 | 463 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) c)) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 b #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
a |
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) c) |
(/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) |
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
c |
(*.f64 b b) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (neg.f64 a))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 b #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
a |
(/.f64 b (neg.f64 a)) |
(neg.f64 a) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) |
(+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) |
(/.f64 c (*.f64 b b)) |
c |
(*.f64 b b) |
(/.f64 #s(literal -1 binary64) a) |
#s(literal -1 binary64) |
a |
(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b))) |
(*.f64 #s(literal 2 binary64) c) |
#s(literal 2 binary64) |
(+.f64 (neg.f64 b) (neg.f64 b)) |
(neg.f64 b) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (neg.f64 (*.f64 b (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 2 binary64)))))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) |
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) |
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) |
a |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
c |
(*.f64 b b) |
(*.f64 a #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(/.f64 (*.f64 c #s(literal 2 binary64)) (neg.f64 (*.f64 b (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 2 binary64))))) |
(*.f64 c #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(neg.f64 (*.f64 b (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 2 binary64)))) |
(*.f64 b (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 2 binary64))) |
(fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 2 binary64)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/.f64 c (*.f64 b b)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 b #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
a |
(/.f64 (*.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) |
(*.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
(*.f64 c #s(literal 2 binary64)) |
c |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) |
(neg.f64 b) |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) |
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
(*.f64 b b) |
(-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 #s(literal -4 binary64) c))) |
(*.f64 a (*.f64 #s(literal -4 binary64) c)) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) c)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 b (neg.f64 a)) |
(*.f64 b #s(literal -2 binary64)) |
(-.f64 (neg.f64 b) b) |
#s(literal -2 binary64) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
a |
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) c) |
(/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
(/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
(/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) |
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) |
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c)))) |
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) |
(fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))) |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
c |
(*.f64 b b) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (neg.f64 a))) |
(/.f64 b (neg.f64 a)) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 b (neg.f64 a)) |
(*.f64 b #s(literal -2 binary64)) |
(-.f64 (neg.f64 b) b) |
#s(literal -2 binary64) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
a |
(/.f64 b (neg.f64 a)) |
(neg.f64 a) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 c (neg.f64 b))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) |
(/.f64 c (*.f64 b b)) |
c |
(*.f64 b b) |
(/.f64 #s(literal -1 binary64) a) |
#s(literal -1 binary64) |
a |
(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b))) |
(/.f64 c (neg.f64 b)) |
(*.f64 #s(literal 2 binary64) c) |
#s(literal 2 binary64) |
(+.f64 (neg.f64 b) (neg.f64 b)) |
(-.f64 (neg.f64 b) b) |
(neg.f64 b) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (neg.f64 (*.f64 b (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 2 binary64)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 #s(literal -2 binary64) a)) (/.f64 (neg.f64 c) (-.f64 b (/.f64 (*.f64 a c) b)))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) |
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 #s(literal -2 binary64) a)) |
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) |
(+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) |
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c)))) |
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) |
(fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))) |
a |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
c |
(*.f64 b b) |
(*.f64 a #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) a) |
#s(literal -2 binary64) |
(/.f64 (*.f64 c #s(literal 2 binary64)) (neg.f64 (*.f64 b (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 c) (-.f64 b (/.f64 (*.f64 a c) b))) |
(*.f64 c #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) c) |
#s(literal 2 binary64) |
(neg.f64 (*.f64 b (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 2 binary64)))) |
(*.f64 #s(literal -2 binary64) (-.f64 b (/.f64 (*.f64 a c) b))) |
(*.f64 b (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) (-.f64 b (/.f64 (*.f64 a c) b))) |
(fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 2 binary64)) |
(fma.f64 c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -2 binary64)) #s(literal 2 binary64)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/.f64 (*.f64 a c) (*.f64 b b)) |
(/.f64 c (*.f64 b b)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 #s(literal -1/2 binary64) a))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 b (neg.f64 a)) |
(*.f64 b #s(literal -2 binary64)) |
(-.f64 (neg.f64 b) b) |
#s(literal -2 binary64) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
a |
(/.f64 (*.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) |
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 #s(literal -1/2 binary64) a)) |
(*.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 #s(literal -2 binary64) c)) |
(*.f64 c #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) c) |
c |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
(neg.f64 b) |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) |
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c)))) |
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) |
(fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))) |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
(*.f64 b b) |
(-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 #s(literal -4 binary64) c))) |
(*.f64 a (*.f64 c #s(literal 4 binary64))) |
(*.f64 a (*.f64 #s(literal -4 binary64) c)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
| ✓ | accuracy | 77.5% | (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) |
| ✓ | accuracy | 66.7% | (/.f64 (*.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) |
| ✓ | accuracy | 61.5% | (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) |
| ✓ | accuracy | 88.9% | (*.f64 a (/.f64 c (*.f64 b b))) |
| ✓ | accuracy | 84.1% | (/.f64 c (*.f64 b b)) |
| ✓ | accuracy | 77.5% | (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) |
| ✓ | accuracy | 61.5% | (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) |
| ✓ | accuracy | 100.0% | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) |
| ✓ | accuracy | 92.1% | (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) |
| ✓ | accuracy | 84.1% | (/.f64 c (*.f64 b b)) |
| ✓ | accuracy | 100.0% | (*.f64 b #s(literal -2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 2 binary64) a) |
| ✓ | accuracy | 100.0% | (neg.f64 a) |
| ✓ | accuracy | 100.0% | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
| ✓ | accuracy | 97.0% | (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) c) |
| ✓ | accuracy | 80.5% | (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) |
| ✓ | accuracy | 61.5% | (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) |
| 107.0ms | 94× | 2 | valid |
| 51.0ms | 41× | 1 | valid |
| 34.0ms | 101× | 0 | valid |
| 25.0ms | 12× | 4 | valid |
| 9.0ms | 6× | 3 | valid |
| 3.0ms | 2× | 5 | exit |
Compiled 575 to 51 computations (91.1% saved)
ival-mult: 46.0ms (35.5% of total)ival-div: 31.0ms (23.9% of total)adjust: 15.0ms (11.6% of total)ival-add: 11.0ms (8.5% of total)ival-if: 9.0ms (7% of total)ival-sub: 7.0ms (5.4% of total)ival-neg: 5.0ms (3.9% of total)ival-sqrt: 4.0ms (3.1% of total)ival->=: 1.0ms (0.8% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a))> |
#<alt (>=.f64 b #s(literal 0 binary64))> |
#<alt (*.f64 b #s(literal -2 binary64))> |
#<alt (*.f64 #s(literal 2 binary64) a)> |
#<alt (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (neg.f64 a)))> |
#<alt (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))> |
#<alt (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))> |
#<alt (+.f64 (neg.f64 b) (neg.f64 b))> |
#<alt (/.f64 (*.f64 c #s(literal 2 binary64)) (neg.f64 (*.f64 b (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 2 binary64)))))> |
#<alt (*.f64 b (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 2 binary64)))> |
#<alt (neg.f64 (*.f64 b (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 2 binary64))))> |
#<alt (/.f64 (*.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 #s(literal -4 binary64) c))))> |
#<alt (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 #s(literal -4 binary64) c)))> |
#<alt (*.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))> |
#<alt (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))> |
#<alt (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))> |
#<alt (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) c)> |
#<alt (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))> |
#<alt (neg.f64 a)> |
#<alt (/.f64 c (*.f64 b b))> |
#<alt (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))> |
#<alt (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))> |
#<alt (*.f64 a (/.f64 c (*.f64 b b)))> |
#<alt (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))> |
| Outputs |
|---|
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (* -2 b)> |
#<alt (* -2 b)> |
#<alt (* -2 b)> |
#<alt (* -2 b)> |
#<alt (* -2 b)> |
#<alt (* -2 b)> |
#<alt (* -2 b)> |
#<alt (* -2 b)> |
#<alt (* -2 b)> |
#<alt (* -2 b)> |
#<alt (* -2 b)> |
#<alt (* -2 b)> |
#<alt (* 2 a)> |
#<alt (* 2 a)> |
#<alt (* 2 a)> |
#<alt (* 2 a)> |
#<alt (* 2 a)> |
#<alt (* 2 a)> |
#<alt (* 2 a)> |
#<alt (* 2 a)> |
#<alt (* 2 a)> |
#<alt (* 2 a)> |
#<alt (* 2 a)> |
#<alt (* 2 a)> |
#<alt (if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a)))> |
#<alt (if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a)))> |
#<alt (if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a)))> |
#<alt (if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a)))> |
#<alt (if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a)))> |
#<alt (if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a)))> |
#<alt (if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a)))> |
#<alt (if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a)))> |
#<alt (if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a)))> |
#<alt (if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a)))> |
#<alt (if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a)))> |
#<alt (if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a)))> |
#<alt (if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a)))> |
#<alt (if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a)))> |
#<alt (if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a)))> |
#<alt (if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a)))> |
#<alt (if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a)))> |
#<alt (if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a)))> |
#<alt (if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a)))> |
#<alt (if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a)))> |
#<alt (if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a)))> |
#<alt (if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a)))> |
#<alt (if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a)))> |
#<alt (if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a)))> |
#<alt (/ c b)> |
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) b)> |
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) b)> |
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) b)> |
#<alt (* -1 (/ b a))> |
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))> |
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))> |
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))> |
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))> |
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))> |
#<alt (* -1 (/ b a))> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (/ c b)> |
#<alt (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))> |
#<alt (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))> |
#<alt (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))> |
#<alt (/ c b)> |
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#<alt (/ c b)> |
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#<alt (/ c b)> |
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#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
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#<alt (* -1 (/ c b))> |
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#<alt (* -2 b)> |
#<alt (* -2 b)> |
#<alt (* -2 b)> |
#<alt (* -2 b)> |
#<alt (* -2 b)> |
#<alt (* -2 b)> |
#<alt (* -2 b)> |
#<alt (* -2 b)> |
#<alt (* -2 b)> |
#<alt (* -2 b)> |
#<alt (* -2 b)> |
#<alt (* -2 b)> |
#<alt (* -1 (/ c b))> |
#<alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))> |
#<alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* -1 (/ (* (pow a 2) c) (pow b 5))))) (/ 1 b)))> |
#<alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -1 (/ (* (pow a 3) c) (pow b 7))) (* -1 (/ (pow a 2) (pow b 5))))))) (/ 1 b)))> |
#<alt (/ b a)> |
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#<alt (- (+ (/ b a) (/ (pow b 5) (* (pow a 3) (pow c 2)))) (* -1 (/ (pow b 3) (* (pow a 2) c))))> |
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#<alt (/ b a)> |
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#<alt (/ b a)> |
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#<alt (/ b a)> |
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#<alt (* 2 b)> |
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#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))> |
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#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))> |
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#<alt (* 4 (* a c))> |
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#<alt (* -2 (* (sqrt (* a (pow c 3))) (sqrt -4)))> |
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#<alt (* -1 (/ (+ (* 4 (* a (pow c 2))) (+ (* 4 (/ (* (pow a 2) (pow c 3)) (pow b 2))) (+ (* 8 (/ (* (pow a 3) (pow c 4)) (pow b 4))) (/ (* c (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4))))) (pow b 6))))) b))> |
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#<alt (* a (+ (* -2 (* (sqrt (/ (pow c 3) a)) (sqrt -4))) (+ (* -2 (/ (* b c) a)) (+ (* -1 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b 4) (pow (sqrt -4) 3))))))))> |
#<alt (* 4 (* (sqrt (* a (pow c 3))) (sqrt -1)))> |
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#<alt (* -1 (* a (+ (* -4 (* (sqrt (/ (pow c 3) a)) (sqrt -1))) (* -1 (/ (+ (* -2 (* b c)) (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1)))) (* 1/32 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1))))) a))) a)))))> |
#<alt b> |
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#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
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#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))> |
#<alt b> |
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#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))> |
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#<alt (/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2))) (* 2 (/ (+ (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (pow a 3)))))) a)> |
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#<alt (/ (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) c)> |
#<alt (/ (- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) c)> |
#<alt (/ (- (+ (* -1 (/ (+ (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))))) c)> |
#<alt (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1)))> |
#<alt (* -1 (/ (+ (* 1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) c))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* 1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) c))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* 1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) c))> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ -1 a)> |
#<alt (- (/ c (pow b 2)) (/ 1 a))> |
#<alt (- (/ c (pow b 2)) (/ 1 a))> |
#<alt (- (/ c (pow b 2)) (/ 1 a))> |
#<alt (/ c (pow b 2))> |
#<alt (* c (- (/ 1 (pow b 2)) (/ 1 (* a c))))> |
#<alt (* c (- (/ 1 (pow b 2)) (/ 1 (* a c))))> |
#<alt (* c (- (/ 1 (pow b 2)) (/ 1 (* a c))))> |
#<alt (/ c (pow b 2))> |
#<alt (* -1 (* c (- (/ 1 (* a c)) (/ 1 (pow b 2)))))> |
#<alt (* -1 (* c (- (/ 1 (* a c)) (/ 1 (pow b 2)))))> |
#<alt (* -1 (* c (- (/ 1 (* a c)) (/ 1 (pow b 2)))))> |
#<alt (/ c (pow b 2))> |
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) (pow b 2))> |
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) (pow b 2))> |
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) (pow b 2))> |
#<alt (/ -1 a)> |
#<alt (- (/ c (pow b 2)) (/ 1 a))> |
#<alt (- (/ c (pow b 2)) (/ 1 a))> |
#<alt (- (/ c (pow b 2)) (/ 1 a))> |
#<alt (/ -1 a)> |
#<alt (- (/ c (pow b 2)) (/ 1 a))> |
#<alt (- (/ c (pow b 2)) (/ 1 a))> |
#<alt (- (/ c (pow b 2)) (/ 1 a))> |
#<alt (/ -1 a)> |
#<alt (/ (- (/ (* a c) (pow b 2)) 1) a)> |
#<alt (/ (- (/ (* a c) (pow b 2)) 1) a)> |
#<alt (/ (- (/ (* a c) (pow b 2)) 1) a)> |
#<alt (/ c (pow b 2))> |
#<alt (- (/ c (pow b 2)) (/ 1 a))> |
#<alt (- (/ c (pow b 2)) (/ 1 a))> |
#<alt (- (/ c (pow b 2)) (/ 1 a))> |
#<alt (/ c (pow b 2))> |
#<alt (- (/ c (pow b 2)) (/ 1 a))> |
#<alt (- (/ c (pow b 2)) (/ 1 a))> |
#<alt (- (/ c (pow b 2)) (/ 1 a))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* 2 b)> |
#<alt (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))> |
#<alt (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))> |
#<alt (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* 2 (/ (* a c) b))> |
#<alt (* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))> |
#<alt (* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))> |
#<alt (* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))> |
#<alt (* 2 b)> |
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))> |
#<alt (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))> |
#<alt (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))> |
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* 2 b)> |
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))> |
#<alt (+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))> |
#<alt (+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))> |
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* -2 b)> |
#<alt (* b (- (* 2 (/ (* a c) (pow b 2))) 2))> |
#<alt (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))> |
#<alt (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b))> |
#<alt (* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))> |
#<alt (* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b))> |
#<alt (* -2 b)> |
#<alt (- (* 2 (/ (* a c) b)) (* 2 b))> |
#<alt (- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))> |
#<alt (- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))> |
#<alt (* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))> |
#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -2 b)> |
#<alt (- (* 2 (/ (* a c) b)) (* 2 b))> |
#<alt (- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))> |
#<alt (- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))> |
#<alt (* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))> |
#<alt (* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))> |
#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
171 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | c | @ | 0 | (/ (* c 2) (neg (* b (+ (* -2 (* a (/ c (* b b)))) 2)))) |
| 1.0ms | a | @ | -inf | (/ -2 (- b (sqrt (+ (* a (* -4 c)) (* b b))))) |
| 1.0ms | a | @ | inf | (/ -2 (- b (sqrt (+ (* a (* -4 c)) (* b b))))) |
| 1.0ms | b | @ | 0 | (/ -2 (- b (sqrt (+ (* a (* -4 c)) (* b b))))) |
| 1.0ms | c | @ | -inf | (/ -2 (- b (sqrt (+ (* a (* -4 c)) (* b b))))) |
| 1× | batch-egg-rewrite |
| 1 300× | lower-*.f32 |
| 1 276× | lower-*.f64 |
| 1 218× | lower-/.f32 |
| 1 210× | lower-fma.f32 |
| 1 206× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 239 |
| 0 | 76 | 234 |
| 1 | 298 | 224 |
| 0 | 2474 | 222 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) |
(>=.f64 b #s(literal 0 binary64)) |
(*.f64 b #s(literal -2 binary64)) |
(*.f64 #s(literal 2 binary64) a) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (neg.f64 a))) |
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b))) |
(+.f64 (neg.f64 b) (neg.f64 b)) |
(/.f64 (*.f64 c #s(literal 2 binary64)) (neg.f64 (*.f64 b (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 2 binary64))))) |
(*.f64 b (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 2 binary64))) |
(neg.f64 (*.f64 b (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) |
(-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 #s(literal -4 binary64) c))) |
(*.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) |
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) |
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) c) |
(/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
(neg.f64 a) |
(/.f64 c (*.f64 b b)) |
(+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) |
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) |
| Outputs |
|---|
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(-.f64 (/.f64 #s(literal 0 binary64) a) (/.f64 b a)) |
(neg.f64 (/.f64 b (neg.f64 a))) |
(neg.f64 (/.f64 b a)) |
(/.f64 b (neg.f64 a)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (neg.f64 b)))) |
(/.f64 (neg.f64 b) a) |
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (neg.f64 b)) #s(literal 1 binary64))) |
(/.f64 (+.f64 b b) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 b b) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (+.f64 b b) (neg.f64 (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (*.f64 b #s(literal 1 binary64)) (neg.f64 a)) |
(/.f64 (*.f64 #s(literal 1 binary64) b) (neg.f64 a)) |
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 a)) |
(/.f64 (*.f64 (+.f64 b b) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (*.f64 (*.f64 b #s(literal 1/2 binary64)) #s(literal -2 binary64)) a) |
(/.f64 (*.f64 b (/.f64 #s(literal -2 binary64) a)) #s(literal 2 binary64)) |
(/.f64 (/.f64 b #s(literal -1 binary64)) a) |
(/.f64 (/.f64 (+.f64 b b) a) #s(literal 2 binary64)) |
(pow.f64 (/.f64 a (neg.f64 b)) #s(literal -1 binary64)) |
(*.f64 b (/.f64 #s(literal -1 binary64) a)) |
(*.f64 #s(literal -2 binary64) (*.f64 b (/.f64 #s(literal 1/2 binary64) a))) |
(*.f64 #s(literal -2 binary64) (/.f64 b (*.f64 #s(literal 2 binary64) a))) |
(*.f64 #s(literal -1 binary64) (/.f64 b a)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) b) |
(*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 #s(literal 1 binary64) (/.f64 b (neg.f64 a))) |
(*.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal -2 binary64) a)) |
(*.f64 (/.f64 #s(literal -2 binary64) a) (*.f64 b #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b b)) |
(*.f64 (/.f64 b a) #s(literal -1 binary64)) |
(*.f64 (+.f64 b b) (/.f64 #s(literal 1/2 binary64) a)) |
(*.f64 (+.f64 b b) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) a))) |
(>=.f64 b #s(literal 0 binary64)) |
(+.f64 b b) |
(+.f64 (neg.f64 b) (neg.f64 b)) |
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(*.f64 (/.f64 a b) (/.f64 c b)) |
(+.f64 (neg.f64 b) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) |
(+.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (neg.f64 b)) |
(-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) |
(-.f64 #s(literal 0 binary64) (-.f64 b (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) |
(-.f64 (/.f64 (neg.f64 (*.f64 b (*.f64 b b))) (-.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) (/.f64 (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (-.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))) |
(-.f64 (/.f64 (*.f64 b b) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (/.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) |
(fma.f64 b #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) |
(fma.f64 #s(literal -2 binary64) (*.f64 b #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) |
(fma.f64 #s(literal -1 binary64) b (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) |
(fma.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b)) |
(fma.f64 (+.f64 b b) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) |
(neg.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (-.f64 (neg.f64 (*.f64 b (*.f64 b b))) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) |
(/.f64 (-.f64 (neg.f64 (*.f64 b (*.f64 b b))) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (-.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (neg.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) |
(/.f64 (neg.f64 (-.f64 (neg.f64 (*.f64 b (*.f64 b b))) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) (neg.f64 (-.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))) |
(/.f64 (fma.f64 (*.f64 b b) (neg.f64 b) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 (neg.f64 b) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))))) |
(/.f64 (-.f64 (*.f64 b b) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) (-.f64 (neg.f64 b) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) |
(*.f64 (-.f64 (neg.f64 (*.f64 b (*.f64 b b))) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))) |
(*.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) |
| 1× | egg-herbie |
| 6 686× | lower-fma.f64 |
| 6 686× | lower-fma.f32 |
| 6 644× | lower-*.f64 |
| 6 644× | lower-*.f32 |
| 4 270× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1514 | 11053 |
| 1 | 5062 | 10743 |
| 0 | 8271 | 10386 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a))) |
(/ c b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(/ c b) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(/ c b) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ c b) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(/ c b) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -1 (/ c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* -1 (/ (* (pow a 2) c) (pow b 5))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -1 (/ (* (pow a 3) c) (pow b 7))) (* -1 (/ (pow a 2) (pow b 5))))))) (/ 1 b))) |
(/ b a) |
(+ (/ b a) (/ (pow b 3) (* (pow a 2) c))) |
(- (+ (/ b a) (/ (pow b 5) (* (pow a 3) (pow c 2)))) (* -1 (/ (pow b 3) (* (pow a 2) c)))) |
(- (+ (/ b a) (/ (pow b 7) (* (pow a 4) (pow c 3)))) (+ (* -1 (/ (pow b 3) (* (pow a 2) c))) (* -1 (/ (pow b 5) (* (pow a 3) (pow c 2)))))) |
(/ b a) |
(+ (/ b a) (/ (pow b 3) (* (pow a 2) c))) |
(+ (* -1 (/ (- (* -1 (/ (pow b 5) (* (pow a 3) c))) (/ (pow b 3) (pow a 2))) c)) (/ b a)) |
(+ (* -1 (/ (- (* -1 (/ (- (/ (pow b 7) (* (pow a 4) c)) (* -1 (/ (pow b 5) (pow a 3)))) c)) (/ (pow b 3) (pow a 2))) c)) (/ b a)) |
(/ b a) |
(* b (+ (/ 1 a) (/ (pow b 2) (* (pow a 2) c)))) |
(* b (+ (* (pow b 2) (+ (/ 1 (* (pow a 2) c)) (/ (pow b 2) (* (pow a 3) (pow c 2))))) (/ 1 a))) |
(* b (+ (* (pow b 2) (+ (* (pow b 2) (+ (/ 1 (* (pow a 3) (pow c 2))) (/ (pow b 2) (* (pow a 4) (pow c 3))))) (/ 1 (* (pow a 2) c)))) (/ 1 a))) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b) |
(/ (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (+ (* -1 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* -1 (/ (* (pow a 3) (pow c 4)) (pow b 6)))))) b) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (/ (* a (pow c 2)) (pow b 2)) (/ (* (pow a 2) (pow c 3)) (pow b 4)))) b)) |
(* -1 (/ (+ c (+ (/ (* a (pow c 2)) (pow b 2)) (+ (/ (* (pow a 2) (pow c 3)) (pow b 4)) (/ (* (pow a 3) (pow c 4)) (pow b 6))))) b)) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -1 (/ (* a (pow c 4)) (pow b 7))) (* -1 (/ (pow c 3) (pow b 5)))))))) |
(/ b a) |
(/ (+ b (/ (pow b 3) (* a c))) a) |
(/ (+ b (+ (/ (pow b 3) (* a c)) (/ (pow b 5) (* (pow a 2) (pow c 2))))) a) |
(/ (+ b (+ (/ (pow b 3) (* a c)) (+ (/ (pow b 5) (* (pow a 2) (pow c 2))) (/ (pow b 7) (* (pow a 3) (pow c 3)))))) a) |
(/ b a) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (pow b 3) (* a c)))) a)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (/ (pow b 3) c) (/ (pow b 5) (* a (pow c 2)))) a))) a)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b 5) (pow c 2))) (* -1 (/ (pow b 7) (* a (pow c 3))))) a)) (/ (pow b 3) c)) a))) a)) |
(* -2 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (* 2 (pow b 2))) b) |
(/ (+ (* -2 (* a c)) (* 2 (pow b 2))) b) |
(/ (+ (* -2 (* a c)) (* 2 (pow b 2))) b) |
(* 2 b) |
(* b (+ 2 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 2 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 2 (* -2 (/ (* a c) (pow b 2))))) |
(* 2 b) |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2))) |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2))) |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2))) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* 2 (/ b a)))) |
(* a (+ (* -2 (/ c b)) (* 2 (/ b a)))) |
(* a (+ (* -2 (/ c b)) (* 2 (/ b a)))) |
(* -2 (/ (* a c) b)) |
(* -1 (* a (+ (* -2 (/ b a)) (* 2 (/ c b))))) |
(* -1 (* a (+ (* -2 (/ b a)) (* 2 (/ c b))))) |
(* -1 (* a (+ (* -2 (/ b a)) (* 2 (/ c b))))) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(* -2 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (* 2 (/ b c)))) |
(* c (+ (* -2 (/ a b)) (* 2 (/ b c)))) |
(* c (+ (* -2 (/ a b)) (* 2 (/ b c)))) |
(* -2 (/ (* a c) b)) |
(* -1 (* c (+ (* -2 (/ b c)) (* 2 (/ a b))))) |
(* -1 (* c (+ (* -2 (/ b c)) (* 2 (/ a b))))) |
(* -1 (* c (+ (* -2 (/ b c)) (* 2 (/ a b))))) |
(* 2 (/ (* a c) b)) |
(/ (- (* -2 (pow b 2)) (* -2 (* a c))) b) |
(/ (- (* -2 (pow b 2)) (* -2 (* a c))) b) |
(/ (- (* -2 (pow b 2)) (* -2 (* a c))) b) |
(* -2 b) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(* 2 (/ (* a c) b)) |
(* a (- (* -2 (/ b a)) (* -2 (/ c b)))) |
(* a (- (* -2 (/ b a)) (* -2 (/ c b)))) |
(* a (- (* -2 (/ b a)) (* -2 (/ c b)))) |
(* 2 (/ (* a c) b)) |
(* -1 (* a (- (* 2 (/ b a)) (* 2 (/ c b))))) |
(* -1 (* a (- (* 2 (/ b a)) (* 2 (/ c b))))) |
(* -1 (* a (- (* 2 (/ b a)) (* 2 (/ c b))))) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(* 2 (/ (* a c) b)) |
(* c (- (* -2 (/ b c)) (* -2 (/ a b)))) |
(* c (- (* -2 (/ b c)) (* -2 (/ a b)))) |
(* c (- (* -2 (/ b c)) (* -2 (/ a b)))) |
(* 2 (/ (* a c) b)) |
(* -1 (* c (- (* 2 (/ b c)) (* 2 (/ a b))))) |
(* -1 (* c (- (* 2 (/ b c)) (* 2 (/ a b))))) |
(* -1 (* c (- (* 2 (/ b c)) (* 2 (/ a b))))) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* -4 (* b c)) |
(* c (+ (* -4 b) (* 4 (/ (* a c) b)))) |
(* c (+ (* -4 b) (* c (+ (* 4 (/ a b)) (* 4 (/ (* (pow a 2) c) (pow b 3))))))) |
(* c (+ (* -4 b) (* c (+ (* 4 (/ a b)) (* c (+ (* 4 (/ (pow a 2) (pow b 3))) (* 8 (/ (* (pow a 3) c) (pow b 5))))))))) |
(* -2 (* (sqrt (* a (pow c 3))) (sqrt -4))) |
(* (pow c 2) (+ (* -2 (* (sqrt (/ a c)) (sqrt -4))) (* -2 (/ b c)))) |
(* (pow c 2) (+ (* -2 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -2 (/ b c)) (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* (pow c 2) (+ (* -2 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -2 (/ b c)) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* 4 (* (sqrt (* a (pow c 3))) (sqrt -1))) |
(* (pow c 2) (+ (* -2 (/ b c)) (* 4 (* (sqrt (/ a c)) (sqrt -1))))) |
(* (pow c 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 2 b)) c)) (* 4 (* (sqrt (/ a c)) (sqrt -1))))) |
(* (pow c 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) (* 2 b)) c)) (* 4 (* (sqrt (/ a c)) (sqrt -1))))) |
(* -2 (* (sqrt (* a (pow c 3))) (sqrt -4))) |
(+ (* -2 (* b c)) (* -2 (* (sqrt (* a (pow c 3))) (sqrt -4)))) |
(+ (* -2 (* (sqrt (* a (pow c 3))) (sqrt -4))) (* b (+ (* -2 c) (* -1 (* (sqrt (/ c a)) (/ b (sqrt -4))))))) |
(+ (* -2 (* (sqrt (* a (pow c 3))) (sqrt -4))) (* b (+ (* -2 c) (* b (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))))) |
(* -4 (* b c)) |
(* b (+ (* -4 c) (* 4 (/ (* a (pow c 2)) (pow b 2))))) |
(* b (+ (* -4 c) (+ (* 4 (/ (* a (pow c 2)) (pow b 2))) (* 4 (/ (* (pow a 2) (pow c 3)) (pow b 4)))))) |
(* b (+ (* -4 c) (+ (* 4 (/ (* a (pow c 2)) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* 8 (/ (* (pow a 3) (pow c 4)) (pow b 6))))))) |
(* -4 (/ (* a (pow c 2)) b)) |
(* -1 (/ (+ (* 4 (* a (pow c 2))) (* 4 (/ (* (pow a 2) (pow c 3)) (pow b 2)))) b)) |
(* -1 (/ (+ (* 4 (* a (pow c 2))) (+ (* 4 (/ (* (pow a 2) (pow c 3)) (pow b 2))) (* 8 (/ (* (pow a 3) (pow c 4)) (pow b 4))))) b)) |
(* -1 (/ (+ (* 4 (* a (pow c 2))) (+ (* 4 (/ (* (pow a 2) (pow c 3)) (pow b 2))) (+ (* 8 (/ (* (pow a 3) (pow c 4)) (pow b 4))) (/ (* c (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4))))) (pow b 6))))) b)) |
(* -4 (* b c)) |
(+ (* -4 (* b c)) (* 4 (/ (* a (pow c 2)) b))) |
(+ (* -4 (* b c)) (* a (+ (* 4 (/ (* a (pow c 3)) (pow b 3))) (* 4 (/ (pow c 2) b))))) |
(+ (* -4 (* b c)) (* a (+ (* 4 (/ (pow c 2) b)) (* a (+ (* 4 (/ (pow c 3) (pow b 3))) (* 8 (/ (* a (pow c 4)) (pow b 5)))))))) |
(* -2 (* (sqrt (* a (pow c 3))) (sqrt -4))) |
(* a (+ (* -2 (* (sqrt (/ (pow c 3) a)) (sqrt -4))) (* -2 (/ (* b c) a)))) |
(* a (+ (* -2 (* (sqrt (/ (pow c 3) a)) (sqrt -4))) (+ (* -2 (/ (* b c) a)) (* -1 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4))))))) |
(* a (+ (* -2 (* (sqrt (/ (pow c 3) a)) (sqrt -4))) (+ (* -2 (/ (* b c) a)) (+ (* -1 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* 4 (* (sqrt (* a (pow c 3))) (sqrt -1))) |
(* -1 (* a (+ (* -4 (* (sqrt (/ (pow c 3) a)) (sqrt -1))) (* 2 (/ (* b c) a))))) |
(* -1 (* a (+ (* -4 (* (sqrt (/ (pow c 3) a)) (sqrt -1))) (* -1 (/ (+ (* -2 (* b c)) (* 1/2 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) a))))) |
(* -1 (* a (+ (* -4 (* (sqrt (/ (pow c 3) a)) (sqrt -1))) (* -1 (/ (+ (* -2 (* b c)) (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1)))) (* 1/32 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1))))) a))) a))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(- b (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4))) |
(* 2 (/ (* a c) b)) |
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b) |
(/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b) |
(* 2 b) |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2))) |
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* 2 (/ (* a c) b)) |
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) |
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) |
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* 2 (/ (* a c) b)) |
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) |
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) |
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (sqrt -4)))))) (* 2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (* 2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (/ c (pow b 2))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2)))))) (+ (* -1 (* (pow a 2) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (+ (* 2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (* 2 (* a (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3))))) (/ c b)))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (* a (+ (* -1 (/ (* c (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow c 3) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)))))) (* 2 (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3)))))) (/ c b)))) a) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2))))) a) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2))) (* 2 (/ (+ (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (pow a 3)))))) a) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a)) (* 2 (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (* 2 (* c (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3))))) (/ 1 b)))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (* c (+ (* -1 (/ (* a (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow a 2) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))))))) (* 2 (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3)))))) (/ 1 b)))) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -1 (/ (+ (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c))) |
(* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) |
(+ (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (* c (pow (sqrt -4) 2)))))) |
(+ (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* b (+ (* -1 (* b (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (* 2 (/ 1 (* a (* c (pow (sqrt -4) 2)))))))) |
(+ (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* b (+ (* b (- (* -1 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (sqrt -4))) (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -4) 4))))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (* 2 (/ 1 (* a (* c (pow (sqrt -4) 2)))))))) |
(* -1 (/ b (* a c))) |
(* b (- (/ 1 (pow b 2)) (/ 1 (* a c)))) |
(* b (- (+ (* -1 (/ (+ (* -2 (* a c)) (* a c)) (pow b 4))) (/ 1 (pow b 2))) (/ 1 (* a c)))) |
(* b (- (+ (* -1 (/ (+ (* -1 (* a (* c (+ (* -2 (* a c)) (* a c))))) (+ (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* 2 (* (pow a 2) (pow c 2))))) (pow b 6))) (/ 1 (pow b 2))) (+ (* -2 (/ (* a c) (pow b 4))) (+ (/ 1 (* a c)) (/ (* a c) (pow b 4)))))) |
(/ -1 b) |
(* -1 (/ (+ 1 (/ (* a c) (pow b 2))) b)) |
(* -1 (/ (- (+ 1 (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -1 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (- (+ 1 (* -1 (/ (+ (* -4 (* (pow a 3) (pow c 3))) (* -1 (* (pow a 3) (pow c 3)))) (pow b 6)))) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1 (/ (* a c) (pow b 2))))) b)) |
(* -1 (/ b (* a c))) |
(/ (+ (* -1 (/ b c)) (/ a b)) a) |
(/ (+ (* -1 (/ b c)) (* a (+ (* -1 (* a (+ (* -2 (/ c (pow b 3))) (/ c (pow b 3))))) (/ 1 b)))) a) |
(/ (+ (* -1 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -2 (/ c (pow b 3))) (/ c (pow b 3)))) (pow b 2))) (+ (* -1/4 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 2 (/ (pow c 2) (pow b 5))))))) (+ (* -2 (/ c (pow b 3))) (/ c (pow b 3))))) (/ 1 b)))) a) |
(* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) |
(/ (+ (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (* c (pow (sqrt -4) 2))))) a) |
(/ (- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2))) (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))) (* -2 (/ b (* c (pow (sqrt -4) 2))))) a) |
(/ (- (+ (* -1 (/ (+ (* (sqrt (/ a c)) (/ (* b (+ (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (pow a 3))) (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) a) |
(* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) |
(* -1 (/ (+ (* 1/2 (/ b c)) (* (sqrt (/ a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* 1/2 (/ (* a b) c))) a)) (* (sqrt (/ a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/16 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* 1/2 (/ (* a b) c))) a)) (* (sqrt (/ a c)) (sqrt -1))) a)) |
(* -1 (/ b (* a c))) |
(/ (+ (* -1 (/ b a)) (/ c b)) c) |
(/ (+ (* -1 (/ b a)) (* c (+ (* -1 (* c (+ (* -2 (/ a (pow b 3))) (/ a (pow b 3))))) (/ 1 b)))) c) |
(/ (+ (* -1 (/ b a)) (* c (+ (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -2 (/ a (pow b 3))) (/ a (pow b 3)))) (pow b 2))) (+ (* -1/4 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (* 2 (/ (pow a 2) (pow b 5))))))) (+ (* -2 (/ a (pow b 3))) (/ a (pow b 3))))) (/ 1 b)))) c) |
(* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) |
(/ (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) c) |
(/ (- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) c) |
(/ (- (+ (* -1 (/ (+ (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))))) c) |
(* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) |
(* -1 (/ (+ (* 1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* 1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* 1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) c)) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ -1 a) |
(- (/ c (pow b 2)) (/ 1 a)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(/ c (pow b 2)) |
(* c (- (/ 1 (pow b 2)) (/ 1 (* a c)))) |
(* c (- (/ 1 (pow b 2)) (/ 1 (* a c)))) |
(* c (- (/ 1 (pow b 2)) (/ 1 (* a c)))) |
(/ c (pow b 2)) |
(* -1 (* c (- (/ 1 (* a c)) (/ 1 (pow b 2))))) |
(* -1 (* c (- (/ 1 (* a c)) (/ 1 (pow b 2))))) |
(* -1 (* c (- (/ 1 (* a c)) (/ 1 (pow b 2))))) |
(/ c (pow b 2)) |
(/ (+ c (* -1 (/ (pow b 2) a))) (pow b 2)) |
(/ (+ c (* -1 (/ (pow b 2) a))) (pow b 2)) |
(/ (+ c (* -1 (/ (pow b 2) a))) (pow b 2)) |
(/ -1 a) |
(- (/ c (pow b 2)) (/ 1 a)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(/ -1 a) |
(- (/ c (pow b 2)) (/ 1 a)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(/ -1 a) |
(/ (- (/ (* a c) (pow b 2)) 1) a) |
(/ (- (/ (* a c) (pow b 2)) 1) a) |
(/ (- (/ (* a c) (pow b 2)) 1) a) |
(/ c (pow b 2)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(/ c (pow b 2)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4))) |
(* 2 b) |
(* b (+ 2 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* 2 (/ (* a c) b)) |
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -2 b) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -2 (/ (* a c) b)) |
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)) |
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
| Outputs |
|---|
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(>= b 0) |
(>=.f64 b #s(literal 0 binary64)) |
(>= b 0) |
(>=.f64 b #s(literal 0 binary64)) |
(>= b 0) |
(>=.f64 b #s(literal 0 binary64)) |
(>= b 0) |
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(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
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b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b) b) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 c (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 a b))) b) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
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(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
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b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(*.f64 b (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
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(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
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(* -1 b) |
(neg.f64 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(*.f64 (neg.f64 b) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
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(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
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(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(neg.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))) |
(- b (* (sqrt (* a c)) (sqrt -4))) |
(-.f64 b (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))) |
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
(fma.f64 b (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 b (sqrt.f64 #s(literal -4 binary64))) #s(literal 1 binary64)) (neg.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))))) |
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4))) |
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(* 2 (/ (* a c) b)) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a c)) b) |
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b) |
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 a c))) b) |
(/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
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(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b) |
(/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 a c (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 b b))))) b) |
(* 2 b) |
(*.f64 b #s(literal 2 binary64)) |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2))) |
(*.f64 (neg.f64 b) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal -2 binary64))) |
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))) |
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(* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
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(* 2 (/ (* a c) b)) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a c)) b) |
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) |
(*.f64 a (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)))) |
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) |
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(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(*.f64 c (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b c)))) |
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(*.f64 c (fma.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b c)))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)))) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (+.f64 (/.f64 b c) (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))) |
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (+.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 b)) (neg.f64 c)) (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (+.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/64 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 c)) b) (neg.f64 c)) (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))) |
Compiled 57 106 to 4 225 computations (92.6% saved)
27 alts after pruning (26 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 644 | 15 | 1 659 |
| Fresh | 5 | 11 | 16 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 0 | 1 |
| Total | 1 654 | 27 | 1 681 |
| Status | Accuracy | Program |
|---|---|---|
| 3.6% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (neg.f64 a))) | |
| 62.5% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 b) a) (/.f64 (*.f64 a #s(literal 2 binary64)) (fma.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b) b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (fma.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b) b)))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) | |
| 50.1% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))) | |
| 65.6% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))) | |
| 32.2% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) (/.f64 b a)) | |
| 64.9% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) (neg.f64 b)) (/.f64 c (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 2 binary64))))) | |
| 45.9% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) c)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) | |
| 52.1% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c))))) | |
| 63.1% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 b #s(literal -2 binary64)))) | |
| 29.2% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 b c)) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) | |
| 67.4% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 c #s(literal 2 binary64))))) | |
| 47.7% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 (neg.f64 a) (*.f64 c #s(literal -4 binary64)))) (*.f64 #s(literal 2 binary64) c))) | |
| 47.7% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) | |
| 63.0% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) | |
| ✓ | 67.6% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) c)) |
| 37.2% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 c b) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) | |
| 29.2% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 b))) (/.f64 b (neg.f64 a))) | |
| 58.5% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) | |
| 63.3% | (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) | |
| 51.4% | (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (*.f64 a c) (*.f64 a (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) #s(literal -2 binary64)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b))) | |
| 31.5% | (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b))) | |
| 29.2% | (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) a) b) (/.f64 b (neg.f64 a))) | |
| 61.6% | (if (>=.f64 b #s(literal 0 binary64)) (*.f64 b (/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal -1 binary64)) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) | |
| 37.0% | (if (>=.f64 b #s(literal 0 binary64)) (*.f64 b (/.f64 c (*.f64 b b))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) | |
| 28.8% | (if (>=.f64 b #s(literal 0 binary64)) (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 #s(literal 1/2 binary64) (neg.f64 b)))) | |
| 28.8% | (if (>=.f64 b #s(literal 0 binary64)) (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (*.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 b b))) | |
| 29.3% | (/.f64 b (neg.f64 a)) |
Compiled 2 434 to 724 computations (70.3% saved)
| Inputs |
|---|
(/.f64 b (neg.f64 a)) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) a) b) (/.f64 b (neg.f64 a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (neg.f64 a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 b #s(literal -2 binary64)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 b (/.f64 c (*.f64 b b))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 c b) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 b))) (/.f64 b (neg.f64 a))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (neg.f64 a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 b c)) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (*.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 b b))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 #s(literal 1/2 binary64) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 c (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c)))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 b (/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal -1 binary64)) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 #s(literal 1/2 binary64) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) c)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) (/.f64 b a)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (neg.f64 (*.f64 b (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 2 binary64)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (*.f64 a c) (*.f64 a (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) #s(literal -2 binary64)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (*.f64 (neg.f64 b) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 c #s(literal 2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) (neg.f64 b)) (/.f64 c (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a)) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) c)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 (neg.f64 a) (*.f64 c #s(literal -4 binary64)))) (*.f64 #s(literal 2 binary64) c))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (sqrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 b) a) (/.f64 (*.f64 a #s(literal 2 binary64)) (fma.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b) b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (fma.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b) b)))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (pow.f64 (*.f64 (+.f64 b b) (*.f64 a #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) (*.f64 #s(literal 2 binary64) a)) (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) c) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 b) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b))) |
(/.f64 b (neg.f64 a)) |
4 calls:
| 36.0ms | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
| 16.0ms | b |
| 16.0ms | a |
| 16.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.3% | 4 | a |
| 91.5% | 3 | b |
| 74.0% | 3 | c |
| 91.4% | 5 | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
Compiled 53 to 29 computations (45.3% saved)
| Inputs |
|---|
(/.f64 b (neg.f64 a)) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) a) b) (/.f64 b (neg.f64 a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (neg.f64 a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 b #s(literal -2 binary64)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 b (/.f64 c (*.f64 b b))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 c b) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 b))) (/.f64 b (neg.f64 a))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (neg.f64 a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 b c)) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (*.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 b b))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 #s(literal 1/2 binary64) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 c (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c)))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 b (/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal -1 binary64)) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 #s(literal 1/2 binary64) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) c)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) (/.f64 b a)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) c)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))) |
(/.f64 b (neg.f64 a)) |
1 calls:
| 25.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.4% | 4 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(/.f64 b (neg.f64 a)) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) a) b) (/.f64 b (neg.f64 a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (neg.f64 a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 b #s(literal -2 binary64)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 b (/.f64 c (*.f64 b b))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 c b) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 b))) (/.f64 b (neg.f64 a))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (neg.f64 a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 b c)) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (*.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 b b))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 #s(literal 1/2 binary64) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 c (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c)))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 b (/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal -1 binary64)) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 #s(literal 1/2 binary64) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) c)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) (/.f64 b a)) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 b #s(literal -2 binary64)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) c)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) (/.f64 b a)) |
(/.f64 b (neg.f64 a)) |
1 calls:
| 8.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.3% | 4 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(/.f64 b (neg.f64 a)) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) a) b) (/.f64 b (neg.f64 a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (neg.f64 a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 b #s(literal -2 binary64)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 b (/.f64 c (*.f64 b b))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 c b) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 b))) (/.f64 b (neg.f64 a))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (neg.f64 a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 b c)) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (*.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 b b))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 #s(literal 1/2 binary64) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 c (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c)))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 b (/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal -1 binary64)) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 #s(literal 1/2 binary64) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) c)) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 b #s(literal -2 binary64)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) c)) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b))) |
(/.f64 b (neg.f64 a)) |
1 calls:
| 7.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.3% | 4 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(/.f64 b (neg.f64 a)) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) a) b) (/.f64 b (neg.f64 a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (neg.f64 a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 b #s(literal -2 binary64)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 b (/.f64 c (*.f64 b b))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 c b) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 b))) (/.f64 b (neg.f64 a))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (neg.f64 a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 b c)) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (*.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 b b))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 #s(literal 1/2 binary64) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 c (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c)))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 b (/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal -1 binary64)) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 #s(literal 1/2 binary64) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b))) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 b #s(literal -2 binary64)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c))))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b))) |
(/.f64 b (neg.f64 a)) |
2 calls:
| 9.0ms | b |
| 7.0ms | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.5% | 3 | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
| 86.9% | 4 | b |
Compiled 45 to 23 computations (48.9% saved)
| Inputs |
|---|
(/.f64 b (neg.f64 a)) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) a) b) (/.f64 b (neg.f64 a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (neg.f64 a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 b #s(literal -2 binary64)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 b (/.f64 c (*.f64 b b))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 c b) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 b))) (/.f64 b (neg.f64 a))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (neg.f64 a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 b c)) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (*.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 b b))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 #s(literal 1/2 binary64) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 c (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c)))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 b (/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal -1 binary64)) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 #s(literal 1/2 binary64) (neg.f64 b)))) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 b #s(literal -2 binary64)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) |
1 calls:
| 8.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.7% | 2 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(/.f64 b (neg.f64 a)) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) a) b) (/.f64 b (neg.f64 a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (neg.f64 a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 b #s(literal -2 binary64)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 b (/.f64 c (*.f64 b b))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 c b) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 b))) (/.f64 b (neg.f64 a))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (neg.f64 a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 b c)) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (*.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 b b))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 #s(literal 1/2 binary64) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 c (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c)))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 b (/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal -1 binary64)) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 b #s(literal -2 binary64)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c))))) |
1 calls:
| 6.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.6% | 2 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(/.f64 b (neg.f64 a)) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) a) b) (/.f64 b (neg.f64 a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (neg.f64 a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 b #s(literal -2 binary64)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 b (/.f64 c (*.f64 b b))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 c b) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 b))) (/.f64 b (neg.f64 a))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (neg.f64 a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 b c)) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (*.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 b b))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 #s(literal 1/2 binary64) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 c (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c)))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 b (/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal -1 binary64)) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
4 calls:
| 10.0ms | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
| 7.0ms | b |
| 6.0ms | a |
| 6.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.3% | 1 | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
| 63.3% | 1 | c |
| 63.3% | 1 | a |
| 63.3% | 1 | b |
Compiled 53 to 29 computations (45.3% saved)
| Inputs |
|---|
(/.f64 b (neg.f64 a)) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) a) b) (/.f64 b (neg.f64 a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (neg.f64 a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 b #s(literal -2 binary64)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 b (/.f64 c (*.f64 b b))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 c b) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 b))) (/.f64 b (neg.f64 a))) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 b #s(literal -2 binary64)))) |
4 calls:
| 3.0ms | a |
| 3.0ms | b |
| 3.0ms | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
| 3.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.1% | 1 | a |
| 63.1% | 1 | b |
| 63.1% | 1 | c |
| 63.1% | 1 | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
Compiled 53 to 29 computations (45.3% saved)
| Inputs |
|---|
(/.f64 b (neg.f64 a)) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) a) b) (/.f64 b (neg.f64 a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (neg.f64 a))) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) |
4 calls:
| 2.0ms | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
| 2.0ms | c |
| 2.0ms | a |
| 2.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.0% | 1 | b |
| 63.0% | 1 | a |
| 63.0% | 1 | c |
| 63.0% | 1 | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
Compiled 53 to 29 computations (45.3% saved)
Total -0.1b remaining (-0.1%)
Threshold costs -0.1b (-0.1%)
| Inputs |
|---|
(/.f64 b (neg.f64 a)) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) a) b) (/.f64 b (neg.f64 a))) |
| Outputs |
|---|
(/.f64 b (neg.f64 a)) |
4 calls:
| 2.0ms | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
| 2.0ms | c |
| 2.0ms | b |
| 2.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 29.3% | 1 | b |
| 29.3% | 1 | a |
| 29.3% | 1 | c |
| 29.3% | 1 | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
Compiled 53 to 29 computations (45.3% saved)
| 2× | binary-search |
| 1× | predicate-same |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 7.268411954170387e+94 | 3.605240749978391e+97 |
| 7.0ms | -2.4074619700186557e+156 | -4.260559170652604e+151 |
| 17.0ms | 160× | 0 | valid |
| 1.0ms | 8× | 0 | invalid |
Compiled 588 to 337 computations (42.7% saved)
ival-mult: 4.0ms (29% of total)ival-sqrt: 3.0ms (21.7% of total)ival-div: 2.0ms (14.5% of total)ival-sub: 2.0ms (14.5% of total)ival-add: 1.0ms (7.2% of total)ival-if: 1.0ms (7.2% of total)ival->=: 1.0ms (7.2% of total)ival-neg: 1.0ms (7.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 3× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 7.268411954170387e+94 | 3.605240749978391e+97 |
| 33.0ms | -1.65390935816484e-291 | 6.305440790519714e-307 |
| 27.0ms | -6.695756839040765e+95 | -3.903765728375364e+85 |
| 37.0ms | 320× | 0 | valid |
| 8.0ms | 81× | 0 | invalid |
Compiled 1 672 to 1 089 computations (34.9% saved)
ival-mult: 11.0ms (34.6% of total)ival-div: 5.0ms (15.7% of total)ival-sub: 4.0ms (12.6% of total)ival-sqrt: 4.0ms (12.6% of total)ival-add: 2.0ms (6.3% of total)ival-if: 2.0ms (6.3% of total)ival-neg: 2.0ms (6.3% of total)ival->=: 1.0ms (3.1% of total)exact: 1.0ms (3.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 3× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 7.268411954170387e+94 | 3.605240749978391e+97 |
| 1.0ms | -1.65390935816484e-291 | 6.305440790519714e-307 |
| 1.0ms | -6.695756839040765e+95 | -3.903765728375364e+85 |
Compiled 1 362 to 897 computations (34.1% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 7.268411954170387e+94 | 3.605240749978391e+97 |
| 1.0ms | -1.65390935816484e-291 | 6.305440790519714e-307 |
| 3.0ms | -6.695756839040765e+95 | -3.903765728375364e+85 |
| 2.0ms | 16× | 0 | valid |
Compiled 1 540 to 1 028 computations (33.2% saved)
ival-div: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-if: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-sqrt: 0.0ms (0% of total)ival->=: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 7.268411954170387e+94 | 3.605240749978391e+97 |
| 1.0ms | -1.65390935816484e-291 | 6.305440790519714e-307 |
| 25.0ms | -1.2532656499237588e-42 | -4.118466059660625e-49 |
| 15.0ms | 144× | 0 | valid |
| 3.0ms | 29× | 0 | invalid |
Compiled 1 450 to 994 computations (31.4% saved)
ival-mult: 4.0ms (29.6% of total)ival-div: 3.0ms (22.2% of total)ival-sub: 2.0ms (14.8% of total)ival-add: 1.0ms (7.4% of total)ival-if: 1.0ms (7.4% of total)ival-sqrt: 1.0ms (7.4% of total)ival->=: 1.0ms (7.4% of total)ival-neg: 1.0ms (7.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -1.2532656499237588e-42 | -4.118466059660625e-49 |
Compiled 566 to 359 computations (36.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -1.2532656499237588e-42 | -4.118466059660625e-49 |
Compiled 494 to 332 computations (32.8% saved)
| 1× | egg-herbie |
| 54× | *-commutative_binary64 |
| 44× | +-commutative_binary64 |
| 34× | sub-neg_binary64 |
| 26× | neg-sub0_binary64 |
| 26× | neg-mul-1_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 102 | 601 |
| 1 | 136 | 598 |
| 2 | 159 | 598 |
| 3 | 180 | 598 |
| 4 | 200 | 598 |
| 5 | 216 | 598 |
| 6 | 224 | 598 |
| 7 | 227 | 598 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 b #s(literal -499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))) (if (<=.f64 b #s(literal 35000000000000000678017994605705198571729199150278416529385073892876155780834609321528662775824384 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b))) (/.f64 b (neg.f64 a)))) |
(if (<=.f64 b #s(literal -530000000000000018126699648580888411053874091859635705412300752391238221174312460466550145548288 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))) (if (<=.f64 b #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) c)) (if (<=.f64 b #s(literal 35000000000000000678017994605705198571729199150278416529385073892876155780834609321528662775824384 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))) (/.f64 b (neg.f64 a))))) |
(if (<=.f64 b #s(literal -530000000000000018126699648580888411053874091859635705412300752391238221174312460466550145548288 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 b #s(literal -2 binary64)))) (if (<=.f64 b #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) c)) (if (<=.f64 b #s(literal 35000000000000000678017994605705198571729199150278416529385073892876155780834609321528662775824384 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) (/.f64 b a)) (/.f64 b (neg.f64 a))))) |
(if (<=.f64 b #s(literal -530000000000000018126699648580888411053874091859635705412300752391238221174312460466550145548288 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 b #s(literal -2 binary64)))) (if (<=.f64 b #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) c)) (if (<=.f64 b #s(literal 33499999999999999239657870789206341738241876959811920421915395074374891053533141321266959612903424 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b))) (/.f64 b (neg.f64 a))))) |
(if (<=.f64 b #s(literal -5523849527140279/50216813883093446110686315385661331328818843555712276103168 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 b #s(literal -2 binary64)))) (if (<=.f64 b #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c))))) (if (<=.f64 b #s(literal 33499999999999999239657870789206341738241876959811920421915395074374891053533141321266959612903424 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b))) (/.f64 b (neg.f64 a))))) |
(if (<=.f64 b #s(literal -5523849527140279/50216813883093446110686315385661331328818843555712276103168 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 b #s(literal -2 binary64)))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) |
(if (<=.f64 b #s(literal -5523849527140279/50216813883093446110686315385661331328818843555712276103168 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 b #s(literal -2 binary64)))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 b #s(literal -2 binary64)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) |
(/.f64 b (neg.f64 a)) |
| Outputs |
|---|
(if (<=.f64 b #s(literal -499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))) (if (<=.f64 b #s(literal 35000000000000000678017994605705198571729199150278416529385073892876155780834609321528662775824384 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b))) (/.f64 b (neg.f64 a)))) |
(if (<=.f64 b #s(literal -499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))) (if (<=.f64 b #s(literal 35000000000000000678017994605705198571729199150278416529385073892876155780834609321528662775824384 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b))) (neg.f64 (/.f64 b a)))) |
(if (<=.f64 b #s(literal -530000000000000018126699648580888411053874091859635705412300752391238221174312460466550145548288 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))) (if (<=.f64 b #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) c)) (if (<=.f64 b #s(literal 35000000000000000678017994605705198571729199150278416529385073892876155780834609321528662775824384 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))) (/.f64 b (neg.f64 a))))) |
(if (<=.f64 b #s(literal -530000000000000018126699648580888411053874091859635705412300752391238221174312460466550145548288 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))) (if (<=.f64 b #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 a #s(literal 2 binary64))) (*.f64 c (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))) (if (<=.f64 b #s(literal 35000000000000000678017994605705198571729199150278416529385073892876155780834609321528662775824384 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))) (neg.f64 (/.f64 b a))))) |
(if (<=.f64 b #s(literal -530000000000000018126699648580888411053874091859635705412300752391238221174312460466550145548288 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 b #s(literal -2 binary64)))) (if (<=.f64 b #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) c)) (if (<=.f64 b #s(literal 35000000000000000678017994605705198571729199150278416529385073892876155780834609321528662775824384 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) (/.f64 b a)) (/.f64 b (neg.f64 a))))) |
(if (<=.f64 b #s(literal -530000000000000018126699648580888411053874091859635705412300752391238221174312460466550145548288 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 a #s(literal 2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -2 binary64)))) (if (<=.f64 b #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 a #s(literal 2 binary64))) (*.f64 c (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))) (if (<=.f64 b #s(literal 35000000000000000678017994605705198571729199150278416529385073892876155780834609321528662775824384 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) (/.f64 b a)) (neg.f64 (/.f64 b a))))) |
(if (<=.f64 b #s(literal -530000000000000018126699648580888411053874091859635705412300752391238221174312460466550145548288 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 b #s(literal -2 binary64)))) (if (<=.f64 b #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) c)) (if (<=.f64 b #s(literal 33499999999999999239657870789206341738241876959811920421915395074374891053533141321266959612903424 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b))) (/.f64 b (neg.f64 a))))) |
(if (<=.f64 b #s(literal -530000000000000018126699648580888411053874091859635705412300752391238221174312460466550145548288 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 a #s(literal 2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -2 binary64)))) (if (<=.f64 b #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 a #s(literal 2 binary64))) (*.f64 c (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))) (if (<=.f64 b #s(literal 33499999999999999239657870789206341738241876959811920421915395074374891053533141321266959612903424 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) b))) (neg.f64 (/.f64 b a))))) |
(if (<=.f64 b #s(literal -5523849527140279/50216813883093446110686315385661331328818843555712276103168 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 b #s(literal -2 binary64)))) (if (<=.f64 b #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c))))) (if (<=.f64 b #s(literal 33499999999999999239657870789206341738241876959811920421915395074374891053533141321266959612903424 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b))) (/.f64 b (neg.f64 a))))) |
(if (<=.f64 b #s(literal -5523849527140279/50216813883093446110686315385661331328818843555712276103168 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 a #s(literal 2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -2 binary64)))) (if (<=.f64 b #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 a #s(literal 2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b))) (if (<=.f64 b #s(literal 33499999999999999239657870789206341738241876959811920421915395074374891053533141321266959612903424 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) b))) (neg.f64 (/.f64 b a))))) |
(if (<=.f64 b #s(literal -5523849527140279/50216813883093446110686315385661331328818843555712276103168 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 b #s(literal -2 binary64)))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) |
(if (<=.f64 b #s(literal -5523849527140279/50216813883093446110686315385661331328818843555712276103168 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 a #s(literal 2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -2 binary64)))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (fma.f64 (/.f64 c b) (*.f64 a #s(literal -2 binary64)) b)) (*.f64 a #s(literal 2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) b)))) |
(if (<=.f64 b #s(literal -5523849527140279/50216813883093446110686315385661331328818843555712276103168 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 b #s(literal -2 binary64)))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c)))))) |
(if (<=.f64 b #s(literal -5523849527140279/50216813883093446110686315385661331328818843555712276103168 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 a #s(literal 2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -2 binary64)))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 a #s(literal 2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (neg.f64 b) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 b #s(literal -2 binary64)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 a #s(literal 2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -2 binary64)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 a #s(literal 2 binary64))) (*.f64 c (/.f64 #s(literal -1 binary64) b))) |
(/.f64 b (neg.f64 a)) |
(neg.f64 (/.f64 b a)) |
| 11 996× | lower-fma.f64 |
| 11 996× | lower-fma.f32 |
| 8 248× | lower-*.f64 |
| 8 248× | lower-*.f32 |
| 7 796× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1514 | 11053 |
| 1 | 5062 | 10743 |
| 0 | 8271 | 10386 |
| 0 | 1510 | 16924 |
| 1 | 5167 | 16361 |
| 0 | 8145 | 15669 |
| 0 | 49 | 248 |
| 0 | 88 | 252 |
| 1 | 336 | 231 |
| 2 | 2933 | 231 |
| 0 | 9257 | 229 |
| 0 | 1449 | 15037 |
| 1 | 4753 | 14681 |
| 0 | 8527 | 14009 |
| 0 | 650 | 4075 |
| 1 | 2083 | 4039 |
| 2 | 6820 | 3997 |
| 0 | 8156 | 3811 |
| 0 | 56 | 325 |
| 0 | 104 | 318 |
| 1 | 442 | 268 |
| 2 | 3826 | 268 |
| 0 | 9580 | 266 |
| 0 | 17 | 65 |
| 0 | 28 | 65 |
| 1 | 89 | 64 |
| 2 | 665 | 62 |
| 0 | 9639 | 57 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 953 to 988 computations (49.4% saved)
Compiled 1 284 to 234 computations (81.8% saved)
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