
Time bar (total: 11.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 4 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 5 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 6 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 7 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 8 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 9 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 10 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 11 |
| 50% | 50% | 49.9% | 0% | 0% | 0% | 0% | 12 |
Compiled 31 to 14 computations (54.8% saved)
| 959.0ms | 8 256× | 0 | valid |
ival-div: 264.0ms (48.3% of total)ival-add: 103.0ms (18.8% of total)ival-sub: 82.0ms (15% of total)ival-mult: 82.0ms (15% of total)exact: 8.0ms (1.5% of total)ival-true: 6.0ms (1.1% of total)ival-assert: 3.0ms (0.5% of total)| 1× | egg-herbie |
| 15 820× | lower-fma.f64 |
| 15 820× | lower-fma.f32 |
| 3 000× | lower-*.f32 |
| 2 998× | lower-*.f64 |
| 1 518× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 67 |
| 1 | 33 | 58 |
| 2 | 91 | 58 |
| 3 | 260 | 42 |
| 4 | 836 | 42 |
| 5 | 2865 | 38 |
| 6 | 5372 | 38 |
| 7 | 7003 | 38 |
| 8 | 7972 | 38 |
| 0 | 12 | 29 |
| 0 | 21 | 29 |
| 1 | 31 | 29 |
| 2 | 60 | 29 |
| 3 | 153 | 21 |
| 4 | 494 | 21 |
| 5 | 2053 | 19 |
| 6 | 5240 | 19 |
| 7 | 7918 | 19 |
| 0 | 8066 | 18 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))))) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64)) #s(literal 6 binary64)))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 130 | 0 | - | 0 | - | (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) |
| 0 | 0 | - | 0 | - | (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 2 binary64) t) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))))) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) t) |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) | cancellation | 13 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 13 | 243 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 13 | 0 | 243 |
| number | freq |
|---|---|
| 0 | 243 |
| 1 | 13 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 1 | 0 | 0 |
| 58.0ms | 278× | 0 | valid |
| 33.0ms | 170× | 1 | valid |
| 19.0ms | 64× | 2 | valid |
Compiled 340 to 52 computations (84.7% saved)
ival-div: 22.0ms (40.9% of total)adjust: 8.0ms (14.9% of total)ival-sub: 7.0ms (13% of total)ival-add: 7.0ms (13% of total)ival-mult: 7.0ms (13% of total)ival-true: 1.0ms (1.9% of total)exact: 1.0ms (1.9% of total)ival-assert: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))))) |
Compiled 30 to 12 computations (60% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))))) |
| ✓ | cost-diff | 128 | (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))) |
| ✓ | cost-diff | 192 | (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))) |
| ✓ | cost-diff | 1408 | (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) |
| 15 820× | lower-fma.f64 |
| 15 820× | lower-fma.f32 |
| 3 000× | lower-*.f32 |
| 2 998× | lower-*.f64 |
| 1 518× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 138 |
| 0 | 21 | 138 |
| 1 | 31 | 138 |
| 2 | 60 | 138 |
| 3 | 153 | 98 |
| 4 | 494 | 98 |
| 5 | 2053 | 92 |
| 6 | 5240 | 92 |
| 7 | 7918 | 92 |
| 0 | 8066 | 88 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))) |
(+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))) |
#s(literal 2 binary64) |
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))) |
(-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) |
(/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) |
(/.f64 #s(literal 2 binary64) t) |
t |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)) |
(/.f64 #s(literal 1 binary64) t) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64)) #s(literal 6 binary64)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64)) #s(literal 6 binary64))) |
(+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64)) #s(literal 6 binary64)) |
#s(literal 2 binary64) |
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64)) #s(literal 4 binary64)) |
(-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) |
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) t))) |
(/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) |
(/.f64 #s(literal 2 binary64) t) |
t |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)) |
(/.f64 #s(literal 1 binary64) t) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))))) |
| ✓ | accuracy | 100.0% | (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))) |
| ✓ | accuracy | 54.8% | (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) |
| 24.0ms | 139× | 0 | valid |
| 16.0ms | 85× | 1 | valid |
| 9.0ms | 32× | 2 | valid |
Compiled 140 to 14 computations (90% saved)
ival-div: 23.0ms (59% of total)adjust: 4.0ms (10.3% of total)ival-sub: 4.0ms (10.3% of total)ival-add: 4.0ms (10.3% of total)ival-mult: 4.0ms (10.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))> |
#<alt (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))> |
#<alt (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))> |
#<alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))))> |
#<alt (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))> |
#<alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))))> |
| Outputs |
|---|
#<alt 2> |
#<alt (+ 2 (* -2 t))> |
#<alt (+ 2 (* t (- (* 2 t) 2)))> |
#<alt (+ 2 (* t (- (* t (+ 2 (* -2 t))) 2)))> |
#<alt (/ 2 t)> |
#<alt (/ (- 2 (* 2 (/ 1 t))) t)> |
#<alt (/ (- (+ 2 (/ 2 (pow t 2))) (* 2 (/ 1 t))) t)> |
#<alt (/ (- (+ 2 (/ 2 (pow t 2))) (+ (* 2 (/ 1 t)) (* 2 (/ 1 (pow t 3))))) t)> |
#<alt (/ 2 t)> |
#<alt (* -1 (/ (- (* 2 (/ 1 t)) 2) t))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 t)) 2) t)) 2) t))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 t)) 2) t)) 2) t)) 2) t))> |
#<alt 2> |
#<alt (+ 2 (* 4 (pow t 2)))> |
#<alt (+ 2 (* (pow t 2) (+ 4 (* -8 t))))> |
#<alt (+ 2 (* (pow t 2) (+ 4 (* t (- (* 12 t) 8)))))> |
#<alt 6> |
#<alt (- 6 (* 8 (/ 1 t)))> |
#<alt (- (+ 6 (/ 12 (pow t 2))) (* 8 (/ 1 t)))> |
#<alt (- (+ 6 (/ 12 (pow t 2))) (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3)))))> |
#<alt 6> |
#<alt (- 6 (* 8 (/ 1 t)))> |
#<alt (+ 6 (* -1 (/ (- 8 (* 12 (/ 1 t))) t)))> |
#<alt (+ 6 (* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t)))> |
#<alt (* 4 (pow t 2))> |
#<alt (* (pow t 2) (+ 4 (* -8 t)))> |
#<alt (* (pow t 2) (+ 4 (* t (- (* 12 t) 8))))> |
#<alt (* (pow t 2) (+ 4 (* t (- (* t (+ 12 (* -16 t))) 8))))> |
#<alt 4> |
#<alt (- 4 (* 8 (/ 1 t)))> |
#<alt (- (+ 4 (/ 12 (pow t 2))) (* 8 (/ 1 t)))> |
#<alt (- (+ 4 (/ 12 (pow t 2))) (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3)))))> |
#<alt 4> |
#<alt (- 4 (* 8 (/ 1 t)))> |
#<alt (+ 4 (* -1 (/ (- 8 (* 12 (/ 1 t))) t)))> |
#<alt (+ 4 (* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t)))> |
#<alt 1/2> |
#<alt (+ 1/2 (pow t 2))> |
#<alt (+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))> |
#<alt (+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2)))))> |
#<alt 5/6> |
#<alt (- 5/6 (* 2/9 (/ 1 t)))> |
#<alt (- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))> |
#<alt (- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t)))> |
#<alt 5/6> |
#<alt (- 5/6 (* 2/9 (/ 1 t)))> |
#<alt (+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))> |
#<alt (+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)))> |
#<alt (* 2 t)> |
#<alt (* t (+ 2 (* -2 t)))> |
#<alt (* t (+ 2 (* t (- (* 2 t) 2))))> |
#<alt (* t (+ 2 (* t (- (* t (+ 2 (* -2 t))) 2))))> |
#<alt 2> |
#<alt (- 2 (* 2 (/ 1 t)))> |
#<alt (- (+ 2 (/ 2 (pow t 2))) (* 2 (/ 1 t)))> |
#<alt (- (+ 2 (/ 2 (pow t 2))) (+ (* 2 (/ 1 t)) (* 2 (/ 1 (pow t 3)))))> |
#<alt 2> |
#<alt (- 2 (* 2 (/ 1 t)))> |
#<alt (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 t))) t)))> |
#<alt (+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 t))) t))) t)))> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1 (pow t 2)))> |
#<alt (+ 1/2 (* (pow t 2) (- (* 2 t) 1)))> |
#<alt (+ 1/2 (* (pow t 2) (- (* t (+ 2 (* -1 t))) 1)))> |
#<alt 1/6> |
#<alt (+ 1/6 (* 2/9 (/ 1 t)))> |
#<alt (- (+ 1/6 (* 2/9 (/ 1 t))) (/ 1/27 (pow t 2)))> |
#<alt (+ 1/6 (+ (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) (pow t 2))) (* 2/9 (/ 1 t))))> |
#<alt 1/6> |
#<alt (+ 1/6 (* 2/9 (/ 1 t)))> |
#<alt (+ 1/6 (* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t)))> |
#<alt (+ 1/6 (* -1 (/ (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9) t)))> |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | t | @ | 0 | (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) |
| 0.0ms | t | @ | 0 | (/ (/ 2 t) (+ 1 (/ 1 t))) |
| 0.0ms | t | @ | inf | (/ (/ 2 t) (+ 1 (/ 1 t))) |
| 0.0ms | t | @ | inf | (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) |
| 0.0ms | t | @ | 0 | (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))) |
| 1× | egg-herbie |
| 14 122× | lower-fma.f64 |
| 14 122× | lower-fma.f32 |
| 3 132× | lower-*.f64 |
| 3 132× | lower-*.f32 |
| 2 564× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 165 | 626 |
| 1 | 491 | 594 |
| 2 | 1138 | 566 |
| 3 | 2703 | 554 |
| 4 | 6665 | 550 |
| 0 | 8113 | 519 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
2 |
(+ 2 (* -2 t)) |
(+ 2 (* t (- (* 2 t) 2))) |
(+ 2 (* t (- (* t (+ 2 (* -2 t))) 2))) |
(/ 2 t) |
(/ (- 2 (* 2 (/ 1 t))) t) |
(/ (- (+ 2 (/ 2 (pow t 2))) (* 2 (/ 1 t))) t) |
(/ (- (+ 2 (/ 2 (pow t 2))) (+ (* 2 (/ 1 t)) (* 2 (/ 1 (pow t 3))))) t) |
(/ 2 t) |
(* -1 (/ (- (* 2 (/ 1 t)) 2) t)) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 t)) 2) t)) 2) t)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 t)) 2) t)) 2) t)) 2) t)) |
2 |
(+ 2 (* 4 (pow t 2))) |
(+ 2 (* (pow t 2) (+ 4 (* -8 t)))) |
(+ 2 (* (pow t 2) (+ 4 (* t (- (* 12 t) 8))))) |
6 |
(- 6 (* 8 (/ 1 t))) |
(- (+ 6 (/ 12 (pow t 2))) (* 8 (/ 1 t))) |
(- (+ 6 (/ 12 (pow t 2))) (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3))))) |
6 |
(- 6 (* 8 (/ 1 t))) |
(+ 6 (* -1 (/ (- 8 (* 12 (/ 1 t))) t))) |
(+ 6 (* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t))) |
(* 4 (pow t 2)) |
(* (pow t 2) (+ 4 (* -8 t))) |
(* (pow t 2) (+ 4 (* t (- (* 12 t) 8)))) |
(* (pow t 2) (+ 4 (* t (- (* t (+ 12 (* -16 t))) 8)))) |
4 |
(- 4 (* 8 (/ 1 t))) |
(- (+ 4 (/ 12 (pow t 2))) (* 8 (/ 1 t))) |
(- (+ 4 (/ 12 (pow t 2))) (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3))))) |
4 |
(- 4 (* 8 (/ 1 t))) |
(+ 4 (* -1 (/ (- 8 (* 12 (/ 1 t))) t))) |
(+ 4 (* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t))) |
1/2 |
(+ 1/2 (pow t 2)) |
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t)))) |
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2))))) |
5/6 |
(- 5/6 (* 2/9 (/ 1 t))) |
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t))) |
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t))) |
5/6 |
(- 5/6 (* 2/9 (/ 1 t))) |
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))) |
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t))) |
(* 2 t) |
(* t (+ 2 (* -2 t))) |
(* t (+ 2 (* t (- (* 2 t) 2)))) |
(* t (+ 2 (* t (- (* t (+ 2 (* -2 t))) 2)))) |
2 |
(- 2 (* 2 (/ 1 t))) |
(- (+ 2 (/ 2 (pow t 2))) (* 2 (/ 1 t))) |
(- (+ 2 (/ 2 (pow t 2))) (+ (* 2 (/ 1 t)) (* 2 (/ 1 (pow t 3))))) |
2 |
(- 2 (* 2 (/ 1 t))) |
(+ 2 (* -1 (/ (- 2 (* 2 (/ 1 t))) t))) |
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 t))) t))) t))) |
1/2 |
(+ 1/2 (* -1 (pow t 2))) |
(+ 1/2 (* (pow t 2) (- (* 2 t) 1))) |
(+ 1/2 (* (pow t 2) (- (* t (+ 2 (* -1 t))) 1))) |
1/6 |
(+ 1/6 (* 2/9 (/ 1 t))) |
(- (+ 1/6 (* 2/9 (/ 1 t))) (/ 1/27 (pow t 2))) |
(+ 1/6 (+ (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) (pow t 2))) (* 2/9 (/ 1 t)))) |
1/6 |
(+ 1/6 (* 2/9 (/ 1 t))) |
(+ 1/6 (* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t))) |
(+ 1/6 (* -1 (/ (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9) t))) |
| Outputs |
|---|
2 |
#s(literal 2 binary64) |
(+ 2 (* -2 t)) |
(fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)) |
(+ 2 (* t (- (* 2 t) 2))) |
(fma.f64 t (fma.f64 #s(literal 2 binary64) t #s(literal -2 binary64)) #s(literal 2 binary64)) |
(+ 2 (* t (- (* t (+ 2 (* -2 t))) 2))) |
(*.f64 (fma.f64 t t #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64))) |
(/ 2 t) |
(/.f64 #s(literal 2 binary64) t) |
(/ (- 2 (* 2 (/ 1 t))) t) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) t)) t) |
(/ (- (+ 2 (/ 2 (pow t 2))) (* 2 (/ 1 t))) t) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) t)) t)) t) |
(/ (- (+ 2 (/ 2 (pow t 2))) (+ (* 2 (/ 1 t)) (* 2 (/ 1 (pow t 3))))) t) |
(/.f64 (*.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) t)) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 t t)) #s(literal -1 binary64))) t) |
(/ 2 t) |
(/.f64 #s(literal 2 binary64) t) |
(* -1 (/ (- (* 2 (/ 1 t)) 2) t)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) t)) t) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 t)) 2) t)) 2) t)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) t)) t)) t) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 t)) 2) t)) 2) t)) 2) t)) |
(/.f64 (*.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) t)) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 t t)) #s(literal -1 binary64))) t) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 4 (pow t 2))) |
(fma.f64 t (*.f64 t #s(literal 4 binary64)) #s(literal 2 binary64)) |
(+ 2 (* (pow t 2) (+ 4 (* -8 t)))) |
(fma.f64 (*.f64 t t) (fma.f64 t #s(literal -8 binary64) #s(literal 4 binary64)) #s(literal 2 binary64)) |
(+ 2 (* (pow t 2) (+ 4 (* t (- (* 12 t) 8))))) |
(fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t #s(literal 12 binary64) #s(literal -8 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) |
6 |
#s(literal 6 binary64) |
(- 6 (* 8 (/ 1 t))) |
(+.f64 #s(literal 6 binary64) (/.f64 #s(literal -8 binary64) t)) |
(- (+ 6 (/ 12 (pow t 2))) (* 8 (/ 1 t))) |
(+.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 12 binary64) t)) t)) |
(- (+ 6 (/ 12 (pow t 2))) (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3))))) |
(+.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal -16 binary64) t)) t)) t)) |
6 |
#s(literal 6 binary64) |
(- 6 (* 8 (/ 1 t))) |
(+.f64 #s(literal 6 binary64) (/.f64 #s(literal -8 binary64) t)) |
(+ 6 (* -1 (/ (- 8 (* 12 (/ 1 t))) t))) |
(+.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 12 binary64) t)) t)) |
(+ 6 (* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t))) |
(+.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal -16 binary64) t)) t)) t)) |
(* 4 (pow t 2)) |
(*.f64 t (*.f64 t #s(literal 4 binary64))) |
(* (pow t 2) (+ 4 (* -8 t))) |
(*.f64 (*.f64 t t) (fma.f64 t #s(literal -8 binary64) #s(literal 4 binary64))) |
(* (pow t 2) (+ 4 (* t (- (* 12 t) 8)))) |
(*.f64 (*.f64 t t) (fma.f64 t (fma.f64 t #s(literal 12 binary64) #s(literal -8 binary64)) #s(literal 4 binary64))) |
(* (pow t 2) (+ 4 (* t (- (* t (+ 12 (* -16 t))) 8)))) |
(*.f64 (*.f64 t t) (fma.f64 t (fma.f64 t (fma.f64 t #s(literal -16 binary64) #s(literal 12 binary64)) #s(literal -8 binary64)) #s(literal 4 binary64))) |
4 |
#s(literal 4 binary64) |
(- 4 (* 8 (/ 1 t))) |
(+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) t)) |
(- (+ 4 (/ 12 (pow t 2))) (* 8 (/ 1 t))) |
(+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 12 binary64) t)) t)) |
(- (+ 4 (/ 12 (pow t 2))) (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3))))) |
(+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal -16 binary64) t)) t)) t)) |
4 |
#s(literal 4 binary64) |
(- 4 (* 8 (/ 1 t))) |
(+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) t)) |
(+ 4 (* -1 (/ (- 8 (* 12 (/ 1 t))) t))) |
(+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 12 binary64) t)) t)) |
(+ 4 (* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t))) |
(+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal -16 binary64) t)) t)) t)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (pow t 2)) |
(fma.f64 t t #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t)))) |
(fma.f64 t (fma.f64 #s(literal -2 binary64) (*.f64 t t) t) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2))))) |
(fma.f64 t (fma.f64 (*.f64 t t) (+.f64 #s(literal -2 binary64) t) t) #s(literal 1/2 binary64)) |
5/6 |
#s(literal 5/6 binary64) |
(- 5/6 (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) |
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)) |
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)) t)) |
5/6 |
#s(literal 5/6 binary64) |
(- 5/6 (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) |
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)) |
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)) t)) |
(* 2 t) |
(*.f64 #s(literal 2 binary64) t) |
(* t (+ 2 (* -2 t))) |
(*.f64 t (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64))) |
(* t (+ 2 (* t (- (* 2 t) 2)))) |
(*.f64 t (fma.f64 t (fma.f64 #s(literal 2 binary64) t #s(literal -2 binary64)) #s(literal 2 binary64))) |
(* t (+ 2 (* t (- (* t (+ 2 (* -2 t))) 2)))) |
(*.f64 t (*.f64 (fma.f64 t t #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) t #s(literal 2 binary64)))) |
2 |
#s(literal 2 binary64) |
(- 2 (* 2 (/ 1 t))) |
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) t)) |
(- (+ 2 (/ 2 (pow t 2))) (* 2 (/ 1 t))) |
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) t)) t)) |
(- (+ 2 (/ 2 (pow t 2))) (+ (* 2 (/ 1 t)) (* 2 (/ 1 (pow t 3))))) |
(*.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) t)) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 t t)) #s(literal -1 binary64))) |
2 |
#s(literal 2 binary64) |
(- 2 (* 2 (/ 1 t))) |
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) t)) |
(+ 2 (* -1 (/ (- 2 (* 2 (/ 1 t))) t))) |
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) t)) t)) |
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 t))) t))) t))) |
(*.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) t)) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 t t)) #s(literal -1 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1 (pow t 2))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 t t)) |
(+ 1/2 (* (pow t 2) (- (* 2 t) 1))) |
(fma.f64 (*.f64 t t) (fma.f64 #s(literal 2 binary64) t #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow t 2) (- (* t (+ 2 (* -1 t))) 1))) |
(fma.f64 t (*.f64 t (fma.f64 t (-.f64 #s(literal 2 binary64) t) #s(literal -1 binary64))) #s(literal 1/2 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 2/9 (/ 1 t))) |
(+.f64 (/.f64 #s(literal 2/9 binary64) t) #s(literal 1/6 binary64)) |
(- (+ 1/6 (* 2/9 (/ 1 t))) (/ 1/27 (pow t 2))) |
(+.f64 (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t) #s(literal 1/6 binary64)) |
(+ 1/6 (+ (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) (pow t 2))) (* 2/9 (/ 1 t)))) |
(+.f64 (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t) #s(literal 1/6 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 2/9 (/ 1 t))) |
(+.f64 (/.f64 #s(literal 2/9 binary64) t) #s(literal 1/6 binary64)) |
(+ 1/6 (* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t))) |
(+.f64 (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t) #s(literal 1/6 binary64)) |
(+ 1/6 (* -1 (/ (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9) t))) |
(+.f64 (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t) #s(literal 1/6 binary64)) |
| 1× | batch-egg-rewrite |
| 6 496× | lower-fma.f64 |
| 6 496× | lower-fma.f32 |
| 4 986× | lower-*.f32 |
| 4 984× | lower-*.f64 |
| 3 440× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 124 |
| 0 | 21 | 84 |
| 1 | 106 | 84 |
| 2 | 873 | 84 |
| 0 | 8816 | 78 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) |
(+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))) |
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))))) |
(-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -1 binary64)) t))) |
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -1 binary64)) t)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 t t)))) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 t t)))) (/.f64 #s(literal -1 binary64) t))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t)))))) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -1 binary64)) t) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))))) |
(+.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -1 binary64)) t) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t)))))) (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 t t))))) (*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 t t)))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 t (/.f64 #s(literal 1 binary64) t) t) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) t))) (/.f64 #s(literal -2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) |
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(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) #s(literal 6 binary64)))) #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) (fma.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) #s(literal -2 binary64)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) (fma.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) #s(literal 6 binary64)))) #s(literal 4 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) #s(literal 4 binary64)))) #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) #s(literal 4 binary64)))) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) (+.f64 (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t)) #s(literal -2 binary64))))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) (+.f64 (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t)) #s(literal -2 binary64)) #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) (+.f64 (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t)) #s(literal -2 binary64)) #s(literal -2 binary64))) |
(/.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) (fma.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) #s(literal -2 binary64))) #s(literal 4 binary64)) (+.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) #s(literal 6 binary64)))) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) (+.f64 (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t)) #s(literal -2 binary64)))) (-.f64 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) (fma.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) #s(literal -2 binary64))) #s(literal 4 binary64))) (neg.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) #s(literal 6 binary64))))) |
(/.f64 (+.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) (+.f64 (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t)) #s(literal -2 binary64))))) (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) #s(literal 4 binary64))))) |
(pow.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) (+.f64 (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t)) #s(literal -2 binary64)) #s(literal -2 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) (+.f64 (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t)) #s(literal -2 binary64)) #s(literal -2 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) (+.f64 (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t)) #s(literal -2 binary64)) #s(literal -2 binary64)))) |
(*.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) (fma.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) #s(literal -2 binary64))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) #s(literal 6 binary64))))) |
(*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) (+.f64 (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t)) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) #s(literal 4 binary64))))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) #s(literal 2 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) (fma.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) #s(literal -2 binary64))) #s(literal 4 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) #s(literal 6 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) (fma.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) #s(literal -2 binary64))) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) #s(literal 6 binary64)))) (*.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) (fma.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) #s(literal -2 binary64))) #s(literal 4 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) (+.f64 (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t)) #s(literal -2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) #s(literal 4 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) (+.f64 (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t)) #s(literal -2 binary64))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) #s(literal 4 binary64)))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) (+.f64 (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t)) #s(literal -2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 #s(literal 1 binary64) t) t))) #s(literal 2 binary64)) #s(literal -1/2 binary64))) |
Compiled 31 025 to 2 785 computations (91% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 629 | 8 | 637 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 630 | 8 | 638 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 51.8% | (-.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))))) (fma.f64 (*.f64 t t) (fma.f64 #s(literal 2 binary64) t #s(literal -1 binary64)) #s(literal 1/2 binary64)))) |
| 51.8% | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (fma.f64 t (fma.f64 #s(literal -2 binary64) (*.f64 t t) t) #s(literal 1/2 binary64))) | |
| 52.7% | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (fma.f64 t t #s(literal 1/2 binary64))) | |
| ▶ | 50.5% | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)) t))) |
| 51.6% | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))) | |
| ▶ | 50.9% | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))) |
| ▶ | 58.6% | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 5/6 binary64)) |
| ▶ | 59.9% | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 1/2 binary64)) |
Compiled 138 to 92 computations (33.3% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)) t) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)) t)) |
| ✓ | cost-diff | 0 | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)) t))) |
| ✓ | cost-diff | 0 | (*.f64 t t) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 t t) (fma.f64 #s(literal 2 binary64) t #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | #s(approx (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))))) (fma.f64 (*.f64 t t) (fma.f64 #s(literal 2 binary64) t #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))))) (fma.f64 (*.f64 t t) (fma.f64 #s(literal 2 binary64) t #s(literal -1 binary64)) #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -2/9 binary64) t) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) |
| ✓ | cost-diff | 0 | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))) |
| ✓ | cost-diff | 0 | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 5/6 binary64)) |
| ✓ | cost-diff | 0 | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 1/2 binary64)) |
| 22 662× | lower-fma.f32 |
| 22 658× | lower-fma.f64 |
| 3 938× | lower-*.f32 |
| 3 936× | lower-*.f64 |
| 1 958× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 303 |
| 0 | 49 | 303 |
| 1 | 77 | 303 |
| 2 | 143 | 303 |
| 3 | 270 | 255 |
| 4 | 629 | 255 |
| 5 | 2238 | 243 |
| 6 | 5531 | 243 |
| 0 | 8162 | 237 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 5/6 binary64)) |
#s(literal 5/6 binary64) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) |
#s(literal 5/6 binary64) |
(/.f64 #s(literal -2/9 binary64) t) |
#s(literal -2/9 binary64) |
t |
(-.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))))) (fma.f64 (*.f64 t t) (fma.f64 #s(literal 2 binary64) t #s(literal -1 binary64)) #s(literal 1/2 binary64)))) |
#s(literal 1 binary64) |
#s(approx (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))))) (fma.f64 (*.f64 t t) (fma.f64 #s(literal 2 binary64) t #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 t t) (fma.f64 #s(literal 2 binary64) t #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 t t) |
t |
(fma.f64 #s(literal 2 binary64) t #s(literal -1 binary64)) |
#s(literal 2 binary64) |
#s(literal -1 binary64) |
#s(literal 1/2 binary64) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)) t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)) t)) |
#s(literal 5/6 binary64) |
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)) t) |
(+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)) |
(/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) |
(+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) |
#s(literal 1/27 binary64) |
(/.f64 #s(literal 4/81 binary64) t) |
#s(literal 4/81 binary64) |
t |
#s(literal -2/9 binary64) |
| Outputs |
|---|
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 5/6 binary64)) |
#s(literal 5/6 binary64) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) |
#s(literal 5/6 binary64) |
(/.f64 #s(literal -2/9 binary64) t) |
#s(literal -2/9 binary64) |
t |
(-.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))))) (fma.f64 (*.f64 t t) (fma.f64 #s(literal 2 binary64) t #s(literal -1 binary64)) #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))))) (fma.f64 t (*.f64 t (fma.f64 #s(literal 2 binary64) t #s(literal -1 binary64))) #s(literal 1/2 binary64)))) |
#s(literal 1 binary64) |
#s(approx (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))))) (fma.f64 (*.f64 t t) (fma.f64 #s(literal 2 binary64) t #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))))) (fma.f64 t (*.f64 t (fma.f64 #s(literal 2 binary64) t #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 t t) (fma.f64 #s(literal 2 binary64) t #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 t (*.f64 t (fma.f64 #s(literal 2 binary64) t #s(literal -1 binary64))) #s(literal 1/2 binary64)) |
(*.f64 t t) |
t |
(fma.f64 #s(literal 2 binary64) t #s(literal -1 binary64)) |
#s(literal 2 binary64) |
#s(literal -1 binary64) |
#s(literal 1/2 binary64) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)) t))) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal -2/9 binary64) (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t)) t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)) t)) |
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal -2/9 binary64) (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t)) t)) |
#s(literal 5/6 binary64) |
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)) t) |
(/.f64 (+.f64 #s(literal -2/9 binary64) (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t)) t) |
(+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)) |
(+.f64 #s(literal -2/9 binary64) (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t)) |
(/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) |
(+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) |
#s(literal 1/27 binary64) |
(/.f64 #s(literal 4/81 binary64) t) |
#s(literal 4/81 binary64) |
t |
#s(literal -2/9 binary64) |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.6% | (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)) t) |
| ✓ | accuracy | 99.5% | (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 4/81 binary64) t) |
| ✓ | accuracy | 50.5% | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)) t))) |
| ✓ | accuracy | 100.0% | (*.f64 t t) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))))) (fma.f64 (*.f64 t t) (fma.f64 #s(literal 2 binary64) t #s(literal -1 binary64)) #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 t t) (fma.f64 #s(literal 2 binary64) t #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 51.9% | #s(approx (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))))) (fma.f64 (*.f64 t t) (fma.f64 #s(literal 2 binary64) t #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 99.9% | (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal -2/9 binary64) t) |
| ✓ | accuracy | 50.9% | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))) |
| ✓ | accuracy | 58.6% | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 5/6 binary64)) |
| ✓ | accuracy | 59.9% | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 1/2 binary64)) |
| 189.0ms | 256× | 0 | valid |
Compiled 264 to 33 computations (87.5% saved)
ival-add: 76.0ms (43.7% of total)ival-div: 55.0ms (31.6% of total)ival-mult: 28.0ms (16.1% of total)const: 11.0ms (6.3% of total)ival-sub: 2.0ms (1.2% of total)exact: 1.0ms (0.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 1/2 binary64))> |
#<alt #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 5/6 binary64))> |
#<alt #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)))> |
#<alt (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))> |
#<alt (/.f64 #s(literal -2/9 binary64) t)> |
#<alt (-.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))))) (fma.f64 (*.f64 t t) (fma.f64 #s(literal 2 binary64) t #s(literal -1 binary64)) #s(literal 1/2 binary64))))> |
#<alt #s(approx (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))))) (fma.f64 (*.f64 t t) (fma.f64 #s(literal 2 binary64) t #s(literal -1 binary64)) #s(literal 1/2 binary64)))> |
#<alt (fma.f64 (*.f64 t t) (fma.f64 #s(literal 2 binary64) t #s(literal -1 binary64)) #s(literal 1/2 binary64))> |
#<alt (*.f64 t t)> |
#<alt #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)) t)))> |
#<alt (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)) t))> |
#<alt (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)) t)> |
#<alt (+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64))> |
#<alt (/.f64 #s(literal 4/81 binary64) t)> |
#<alt (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t)> |
| Outputs |
|---|
#<alt 1/2> |
#<alt (+ 1/2 (pow t 2))> |
#<alt (+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))> |
#<alt (+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2)))))> |
#<alt 5/6> |
#<alt (- 5/6 (* 2/9 (/ 1 t)))> |
#<alt (- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))> |
#<alt (- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t)))> |
#<alt 5/6> |
#<alt (- 5/6 (* 2/9 (/ 1 t)))> |
#<alt (+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))> |
#<alt (+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)))> |
#<alt 1/2> |
#<alt (+ 1/2 (pow t 2))> |
#<alt (+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))> |
#<alt (+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2)))))> |
#<alt 5/6> |
#<alt (- 5/6 (* 2/9 (/ 1 t)))> |
#<alt (- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))> |
#<alt (- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t)))> |
#<alt 5/6> |
#<alt (- 5/6 (* 2/9 (/ 1 t)))> |
#<alt (+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))> |
#<alt (+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)))> |
#<alt 1/2> |
#<alt (+ 1/2 (pow t 2))> |
#<alt (+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))> |
#<alt (+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2)))))> |
#<alt 5/6> |
#<alt (- 5/6 (* 2/9 (/ 1 t)))> |
#<alt (- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))> |
#<alt (- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t)))> |
#<alt 5/6> |
#<alt (- 5/6 (* 2/9 (/ 1 t)))> |
#<alt (+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))> |
#<alt (+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)))> |
#<alt (/ -2/9 t)> |
#<alt (/ (- (* 5/6 t) 2/9) t)> |
#<alt (/ (- (* 5/6 t) 2/9) t)> |
#<alt (/ (- (* 5/6 t) 2/9) t)> |
#<alt 5/6> |
#<alt (- 5/6 (* 2/9 (/ 1 t)))> |
#<alt (- 5/6 (* 2/9 (/ 1 t)))> |
#<alt (- 5/6 (* 2/9 (/ 1 t)))> |
#<alt 5/6> |
#<alt (- 5/6 (* 2/9 (/ 1 t)))> |
#<alt (- 5/6 (* 2/9 (/ 1 t)))> |
#<alt (- 5/6 (* 2/9 (/ 1 t)))> |
#<alt (/ -2/9 t)> |
#<alt (/ -2/9 t)> |
#<alt (/ -2/9 t)> |
#<alt (/ -2/9 t)> |
#<alt (/ -2/9 t)> |
#<alt (/ -2/9 t)> |
#<alt (/ -2/9 t)> |
#<alt (/ -2/9 t)> |
#<alt (/ -2/9 t)> |
#<alt (/ -2/9 t)> |
#<alt (/ -2/9 t)> |
#<alt (/ -2/9 t)> |
#<alt 1/2> |
#<alt (+ 1/2 (pow t 2))> |
#<alt (+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))> |
#<alt (+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2)))))> |
#<alt 5/6> |
#<alt (- 5/6 (* 2/9 (/ 1 t)))> |
#<alt (- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))> |
#<alt (- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t)))> |
#<alt 5/6> |
#<alt (- 5/6 (* 2/9 (/ 1 t)))> |
#<alt (+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))> |
#<alt (+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)))> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1 (pow t 2)))> |
#<alt (+ 1/2 (* (pow t 2) (- (* 2 t) 1)))> |
#<alt (+ 1/2 (* (pow t 2) (- (* t (+ 2 (* -1 t))) 1)))> |
#<alt 1/6> |
#<alt (+ 1/6 (* 2/9 (/ 1 t)))> |
#<alt (- (+ 1/6 (* 2/9 (/ 1 t))) (/ 1/27 (pow t 2)))> |
#<alt (+ 1/6 (+ (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) (pow t 2))) (* 2/9 (/ 1 t))))> |
#<alt 1/6> |
#<alt (+ 1/6 (* 2/9 (/ 1 t)))> |
#<alt (+ 1/6 (* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t)))> |
#<alt (+ 1/6 (* -1 (/ (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9) t)))> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1 (pow t 2)))> |
#<alt (+ 1/2 (* (pow t 2) (- (* 2 t) 1)))> |
#<alt (+ 1/2 (* (pow t 2) (- (* 2 t) 1)))> |
#<alt (* 2 (pow t 3))> |
#<alt (* (pow t 3) (- 2 (/ 1 t)))> |
#<alt (* (pow t 3) (- (+ 2 (/ 1/2 (pow t 3))) (/ 1 t)))> |
#<alt (* (pow t 3) (- (+ 2 (/ 1/2 (pow t 3))) (/ 1 t)))> |
#<alt (* 2 (pow t 3))> |
#<alt (* -1 (* (pow t 3) (- (/ 1 t) 2)))> |
#<alt (* -1 (* (pow t 3) (- (* -1 (/ (- (* 1/2 (/ 1 (pow t 2))) 1) t)) 2)))> |
#<alt (* -1 (* (pow t 3) (- (* -1 (/ (- (* 1/2 (/ 1 (pow t 2))) 1) t)) 2)))> |
#<alt (pow t 2)> |
#<alt (pow t 2)> |
#<alt (pow t 2)> |
#<alt (pow t 2)> |
#<alt (pow t 2)> |
#<alt (pow t 2)> |
#<alt (pow t 2)> |
#<alt (pow t 2)> |
#<alt (pow t 2)> |
#<alt (pow t 2)> |
#<alt (pow t 2)> |
#<alt (pow t 2)> |
#<alt 1/2> |
#<alt (+ 1/2 (pow t 2))> |
#<alt (+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))> |
#<alt (+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2)))))> |
#<alt 5/6> |
#<alt (- 5/6 (* 2/9 (/ 1 t)))> |
#<alt (- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))> |
#<alt (- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t)))> |
#<alt 5/6> |
#<alt (- 5/6 (* 2/9 (/ 1 t)))> |
#<alt (+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))> |
#<alt (+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)))> |
#<alt (/ 4/81 (pow t 3))> |
#<alt (/ (+ 4/81 (* 1/27 t)) (pow t 3))> |
#<alt (/ (+ 4/81 (* t (+ 1/27 (* -2/9 t)))) (pow t 3))> |
#<alt (/ (+ 4/81 (* t (+ 1/27 (* t (- (* 5/6 t) 2/9))))) (pow t 3))> |
#<alt 5/6> |
#<alt (- 5/6 (* 2/9 (/ 1 t)))> |
#<alt (- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))> |
#<alt (- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t)))> |
#<alt 5/6> |
#<alt (- 5/6 (* 2/9 (/ 1 t)))> |
#<alt (+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))> |
#<alt (+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)))> |
#<alt (/ 4/81 (pow t 3))> |
#<alt (/ (+ 4/81 (* 1/27 t)) (pow t 3))> |
#<alt (/ (+ 4/81 (* t (+ 1/27 (* -2/9 t)))) (pow t 3))> |
#<alt (/ (+ 4/81 (* t (+ 1/27 (* -2/9 t)))) (pow t 3))> |
#<alt (/ -2/9 t)> |
#<alt (/ (- (* 1/27 (/ 1 t)) 2/9) t)> |
#<alt (/ (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9) t)> |
#<alt (/ (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9) t)> |
#<alt (/ -2/9 t)> |
#<alt (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))> |
#<alt (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t))> |
#<alt (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t))> |
#<alt (/ 4/81 (pow t 2))> |
#<alt (/ (+ 4/81 (* 1/27 t)) (pow t 2))> |
#<alt (/ (+ 4/81 (* t (+ 1/27 (* -2/9 t)))) (pow t 2))> |
#<alt (/ (+ 4/81 (* t (+ 1/27 (* -2/9 t)))) (pow t 2))> |
#<alt -2/9> |
#<alt (- (* 1/27 (/ 1 t)) 2/9)> |
#<alt (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9)> |
#<alt (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9)> |
#<alt -2/9> |
#<alt (- (* 1/27 (/ 1 t)) 2/9)> |
#<alt (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9)> |
#<alt (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9)> |
#<alt (/ 4/81 t)> |
#<alt (/ 4/81 t)> |
#<alt (/ 4/81 t)> |
#<alt (/ 4/81 t)> |
#<alt (/ 4/81 t)> |
#<alt (/ 4/81 t)> |
#<alt (/ 4/81 t)> |
#<alt (/ 4/81 t)> |
#<alt (/ 4/81 t)> |
#<alt (/ 4/81 t)> |
#<alt (/ 4/81 t)> |
#<alt (/ 4/81 t)> |
#<alt (/ 4/81 (pow t 2))> |
#<alt (/ (+ 4/81 (* 1/27 t)) (pow t 2))> |
#<alt (/ (+ 4/81 (* 1/27 t)) (pow t 2))> |
#<alt (/ (+ 4/81 (* 1/27 t)) (pow t 2))> |
#<alt (/ 1/27 t)> |
#<alt (/ (+ 1/27 (* 4/81 (/ 1 t))) t)> |
#<alt (/ (+ 1/27 (* 4/81 (/ 1 t))) t)> |
#<alt (/ (+ 1/27 (* 4/81 (/ 1 t))) t)> |
#<alt (/ 1/27 t)> |
#<alt (/ (+ 1/27 (* 4/81 (/ 1 t))) t)> |
#<alt (/ (+ 1/27 (* 4/81 (/ 1 t))) t)> |
#<alt (/ (+ 1/27 (* 4/81 (/ 1 t))) t)> |
45 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 37.0ms | t | @ | 0 | (/ 4/81 t) |
| 0.0ms | t | @ | -inf | (+ (* (* t t) (+ (* 2 t) -1)) 1/2) |
| 0.0ms | t | @ | inf | (+ 5/6 (/ -2/9 t)) |
| 0.0ms | t | @ | -inf | (/ (+ (/ (+ 1/27 (/ 4/81 t)) t) -2/9) t) |
| 0.0ms | t | @ | inf | (+ (* (* t t) (+ (* 2 t) -1)) 1/2) |
| 1× | egg-herbie |
| 10 478× | lower-fma.f64 |
| 10 478× | lower-fma.f32 |
| 2 696× | lower-*.f64 |
| 2 696× | lower-*.f32 |
| 1 776× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 117 | 1263 |
| 1 | 299 | 1206 |
| 2 | 719 | 1202 |
| 3 | 1840 | 1186 |
| 4 | 4240 | 1162 |
| 5 | 6549 | 1162 |
| 0 | 8123 | 1104 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+ 1/2 (pow t 2)) |
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t)))) |
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2))))) |
5/6 |
(- 5/6 (* 2/9 (/ 1 t))) |
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t))) |
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t))) |
5/6 |
(- 5/6 (* 2/9 (/ 1 t))) |
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))) |
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t))) |
1/2 |
(+ 1/2 (pow t 2)) |
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t)))) |
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2))))) |
5/6 |
(- 5/6 (* 2/9 (/ 1 t))) |
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t))) |
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t))) |
5/6 |
(- 5/6 (* 2/9 (/ 1 t))) |
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))) |
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t))) |
1/2 |
(+ 1/2 (pow t 2)) |
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t)))) |
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2))))) |
5/6 |
(- 5/6 (* 2/9 (/ 1 t))) |
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t))) |
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t))) |
5/6 |
(- 5/6 (* 2/9 (/ 1 t))) |
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))) |
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t))) |
(/ -2/9 t) |
(/ (- (* 5/6 t) 2/9) t) |
(/ (- (* 5/6 t) 2/9) t) |
(/ (- (* 5/6 t) 2/9) t) |
5/6 |
(- 5/6 (* 2/9 (/ 1 t))) |
(- 5/6 (* 2/9 (/ 1 t))) |
(- 5/6 (* 2/9 (/ 1 t))) |
5/6 |
(- 5/6 (* 2/9 (/ 1 t))) |
(- 5/6 (* 2/9 (/ 1 t))) |
(- 5/6 (* 2/9 (/ 1 t))) |
(/ -2/9 t) |
(/ -2/9 t) |
(/ -2/9 t) |
(/ -2/9 t) |
(/ -2/9 t) |
(/ -2/9 t) |
(/ -2/9 t) |
(/ -2/9 t) |
(/ -2/9 t) |
(/ -2/9 t) |
(/ -2/9 t) |
(/ -2/9 t) |
1/2 |
(+ 1/2 (pow t 2)) |
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t)))) |
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2))))) |
5/6 |
(- 5/6 (* 2/9 (/ 1 t))) |
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t))) |
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t))) |
5/6 |
(- 5/6 (* 2/9 (/ 1 t))) |
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))) |
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t))) |
1/2 |
(+ 1/2 (* -1 (pow t 2))) |
(+ 1/2 (* (pow t 2) (- (* 2 t) 1))) |
(+ 1/2 (* (pow t 2) (- (* t (+ 2 (* -1 t))) 1))) |
1/6 |
(+ 1/6 (* 2/9 (/ 1 t))) |
(- (+ 1/6 (* 2/9 (/ 1 t))) (/ 1/27 (pow t 2))) |
(+ 1/6 (+ (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) (pow t 2))) (* 2/9 (/ 1 t)))) |
1/6 |
(+ 1/6 (* 2/9 (/ 1 t))) |
(+ 1/6 (* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t))) |
(+ 1/6 (* -1 (/ (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9) t))) |
1/2 |
(+ 1/2 (* -1 (pow t 2))) |
(+ 1/2 (* (pow t 2) (- (* 2 t) 1))) |
(+ 1/2 (* (pow t 2) (- (* 2 t) 1))) |
(* 2 (pow t 3)) |
(* (pow t 3) (- 2 (/ 1 t))) |
(* (pow t 3) (- (+ 2 (/ 1/2 (pow t 3))) (/ 1 t))) |
(* (pow t 3) (- (+ 2 (/ 1/2 (pow t 3))) (/ 1 t))) |
(* 2 (pow t 3)) |
(* -1 (* (pow t 3) (- (/ 1 t) 2))) |
(* -1 (* (pow t 3) (- (* -1 (/ (- (* 1/2 (/ 1 (pow t 2))) 1) t)) 2))) |
(* -1 (* (pow t 3) (- (* -1 (/ (- (* 1/2 (/ 1 (pow t 2))) 1) t)) 2))) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
1/2 |
(+ 1/2 (pow t 2)) |
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t)))) |
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2))))) |
5/6 |
(- 5/6 (* 2/9 (/ 1 t))) |
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t))) |
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t))) |
5/6 |
(- 5/6 (* 2/9 (/ 1 t))) |
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))) |
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t))) |
(/ 4/81 (pow t 3)) |
(/ (+ 4/81 (* 1/27 t)) (pow t 3)) |
(/ (+ 4/81 (* t (+ 1/27 (* -2/9 t)))) (pow t 3)) |
(/ (+ 4/81 (* t (+ 1/27 (* t (- (* 5/6 t) 2/9))))) (pow t 3)) |
5/6 |
(- 5/6 (* 2/9 (/ 1 t))) |
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t))) |
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t))) |
5/6 |
(- 5/6 (* 2/9 (/ 1 t))) |
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))) |
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t))) |
(/ 4/81 (pow t 3)) |
(/ (+ 4/81 (* 1/27 t)) (pow t 3)) |
(/ (+ 4/81 (* t (+ 1/27 (* -2/9 t)))) (pow t 3)) |
(/ (+ 4/81 (* t (+ 1/27 (* -2/9 t)))) (pow t 3)) |
(/ -2/9 t) |
(/ (- (* 1/27 (/ 1 t)) 2/9) t) |
(/ (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9) t) |
(/ (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9) t) |
(/ -2/9 t) |
(* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)) |
(* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)) |
(* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)) |
(/ 4/81 (pow t 2)) |
(/ (+ 4/81 (* 1/27 t)) (pow t 2)) |
(/ (+ 4/81 (* t (+ 1/27 (* -2/9 t)))) (pow t 2)) |
(/ (+ 4/81 (* t (+ 1/27 (* -2/9 t)))) (pow t 2)) |
-2/9 |
(- (* 1/27 (/ 1 t)) 2/9) |
(- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9) |
(- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9) |
-2/9 |
(- (* 1/27 (/ 1 t)) 2/9) |
(- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9) |
(- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9) |
(/ 4/81 t) |
(/ 4/81 t) |
(/ 4/81 t) |
(/ 4/81 t) |
(/ 4/81 t) |
(/ 4/81 t) |
(/ 4/81 t) |
(/ 4/81 t) |
(/ 4/81 t) |
(/ 4/81 t) |
(/ 4/81 t) |
(/ 4/81 t) |
(/ 4/81 (pow t 2)) |
(/ (+ 4/81 (* 1/27 t)) (pow t 2)) |
(/ (+ 4/81 (* 1/27 t)) (pow t 2)) |
(/ (+ 4/81 (* 1/27 t)) (pow t 2)) |
(/ 1/27 t) |
(/ (+ 1/27 (* 4/81 (/ 1 t))) t) |
(/ (+ 1/27 (* 4/81 (/ 1 t))) t) |
(/ (+ 1/27 (* 4/81 (/ 1 t))) t) |
(/ 1/27 t) |
(/ (+ 1/27 (* 4/81 (/ 1 t))) t) |
(/ (+ 1/27 (* 4/81 (/ 1 t))) t) |
(/ (+ 1/27 (* 4/81 (/ 1 t))) t) |
| Outputs |
|---|
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (pow t 2)) |
(fma.f64 t t #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t)))) |
(fma.f64 (*.f64 t t) (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2))))) |
(fma.f64 (*.f64 t t) (fma.f64 t (+.f64 t #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
5/6 |
#s(literal 5/6 binary64) |
(- 5/6 (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) |
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t))) |
(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t)) |
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal -2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t)) |
5/6 |
#s(literal 5/6 binary64) |
(- 5/6 (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) |
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))) |
(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t)) |
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal -2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (pow t 2)) |
(fma.f64 t t #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t)))) |
(fma.f64 (*.f64 t t) (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2))))) |
(fma.f64 (*.f64 t t) (fma.f64 t (+.f64 t #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
5/6 |
#s(literal 5/6 binary64) |
(- 5/6 (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) |
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t))) |
(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t)) |
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal -2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t)) |
5/6 |
#s(literal 5/6 binary64) |
(- 5/6 (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) |
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))) |
(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t)) |
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal -2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (pow t 2)) |
(fma.f64 t t #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t)))) |
(fma.f64 (*.f64 t t) (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2))))) |
(fma.f64 (*.f64 t t) (fma.f64 t (+.f64 t #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
5/6 |
#s(literal 5/6 binary64) |
(- 5/6 (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) |
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t))) |
(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t)) |
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal -2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t)) |
5/6 |
#s(literal 5/6 binary64) |
(- 5/6 (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) |
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))) |
(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t)) |
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal -2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t)) |
(/ -2/9 t) |
(/.f64 #s(literal -2/9 binary64) t) |
(/ (- (* 5/6 t) 2/9) t) |
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) |
(/ (- (* 5/6 t) 2/9) t) |
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) |
(/ (- (* 5/6 t) 2/9) t) |
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) |
5/6 |
#s(literal 5/6 binary64) |
(- 5/6 (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) |
(- 5/6 (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) |
(- 5/6 (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) |
5/6 |
#s(literal 5/6 binary64) |
(- 5/6 (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) |
(- 5/6 (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) |
(- 5/6 (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) |
(/ -2/9 t) |
(/.f64 #s(literal -2/9 binary64) t) |
(/ -2/9 t) |
(/.f64 #s(literal -2/9 binary64) t) |
(/ -2/9 t) |
(/.f64 #s(literal -2/9 binary64) t) |
(/ -2/9 t) |
(/.f64 #s(literal -2/9 binary64) t) |
(/ -2/9 t) |
(/.f64 #s(literal -2/9 binary64) t) |
(/ -2/9 t) |
(/.f64 #s(literal -2/9 binary64) t) |
(/ -2/9 t) |
(/.f64 #s(literal -2/9 binary64) t) |
(/ -2/9 t) |
(/.f64 #s(literal -2/9 binary64) t) |
(/ -2/9 t) |
(/.f64 #s(literal -2/9 binary64) t) |
(/ -2/9 t) |
(/.f64 #s(literal -2/9 binary64) t) |
(/ -2/9 t) |
(/.f64 #s(literal -2/9 binary64) t) |
(/ -2/9 t) |
(/.f64 #s(literal -2/9 binary64) t) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (pow t 2)) |
(fma.f64 t t #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t)))) |
(fma.f64 (*.f64 t t) (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2))))) |
(fma.f64 (*.f64 t t) (fma.f64 t (+.f64 t #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
5/6 |
#s(literal 5/6 binary64) |
(- 5/6 (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) |
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t))) |
(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t)) |
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal -2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t)) |
5/6 |
#s(literal 5/6 binary64) |
(- 5/6 (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) |
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))) |
(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t)) |
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal -2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1 (pow t 2))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 t t)) |
(+ 1/2 (* (pow t 2) (- (* 2 t) 1))) |
(fma.f64 (*.f64 t t) (fma.f64 t #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow t 2) (- (* t (+ 2 (* -1 t))) 1))) |
(fma.f64 (*.f64 t t) (fma.f64 t (-.f64 #s(literal 2 binary64) t) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 2/9 (/ 1 t))) |
(+.f64 (/.f64 #s(literal 2/9 binary64) t) #s(literal 1/6 binary64)) |
(- (+ 1/6 (* 2/9 (/ 1 t))) (/ 1/27 (pow t 2))) |
(+.f64 (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t) #s(literal 1/6 binary64)) |
(+ 1/6 (+ (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) (pow t 2))) (* 2/9 (/ 1 t)))) |
(-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal -2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t)) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 2/9 (/ 1 t))) |
(+.f64 (/.f64 #s(literal 2/9 binary64) t) #s(literal 1/6 binary64)) |
(+ 1/6 (* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t))) |
(+.f64 (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t) #s(literal 1/6 binary64)) |
(+ 1/6 (* -1 (/ (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9) t))) |
(-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal -2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1 (pow t 2))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 t t)) |
(+ 1/2 (* (pow t 2) (- (* 2 t) 1))) |
(fma.f64 (*.f64 t t) (fma.f64 t #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow t 2) (- (* 2 t) 1))) |
(fma.f64 (*.f64 t t) (fma.f64 t #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(* 2 (pow t 3)) |
(*.f64 #s(literal 2 binary64) (*.f64 t (*.f64 t t))) |
(* (pow t 3) (- 2 (/ 1 t))) |
(*.f64 (*.f64 t t) (fma.f64 t #s(literal 2 binary64) #s(literal -1 binary64))) |
(* (pow t 3) (- (+ 2 (/ 1/2 (pow t 3))) (/ 1 t))) |
(*.f64 t (*.f64 t (fma.f64 t #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 t t)))))) |
(* (pow t 3) (- (+ 2 (/ 1/2 (pow t 3))) (/ 1 t))) |
(*.f64 t (*.f64 t (fma.f64 t #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 t t)))))) |
(* 2 (pow t 3)) |
(*.f64 #s(literal 2 binary64) (*.f64 t (*.f64 t t))) |
(* -1 (* (pow t 3) (- (/ 1 t) 2))) |
(*.f64 (*.f64 t t) (fma.f64 t #s(literal 2 binary64) #s(literal -1 binary64))) |
(* -1 (* (pow t 3) (- (* -1 (/ (- (* 1/2 (/ 1 (pow t 2))) 1) t)) 2))) |
(*.f64 t (*.f64 t (fma.f64 t #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 t t)))))) |
(* -1 (* (pow t 3) (- (* -1 (/ (- (* 1/2 (/ 1 (pow t 2))) 1) t)) 2))) |
(*.f64 t (*.f64 t (fma.f64 t #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 t t)))))) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (pow t 2)) |
(fma.f64 t t #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t)))) |
(fma.f64 (*.f64 t t) (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2))))) |
(fma.f64 (*.f64 t t) (fma.f64 t (+.f64 t #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
5/6 |
#s(literal 5/6 binary64) |
(- 5/6 (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) |
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t))) |
(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t)) |
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal -2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t)) |
5/6 |
#s(literal 5/6 binary64) |
(- 5/6 (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) |
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))) |
(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t)) |
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal -2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t)) |
(/ 4/81 (pow t 3)) |
(/.f64 #s(literal 4/81 binary64) (*.f64 t (*.f64 t t))) |
(/ (+ 4/81 (* 1/27 t)) (pow t 3)) |
(/.f64 (fma.f64 t #s(literal 1/27 binary64) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t))) |
(/ (+ 4/81 (* t (+ 1/27 (* -2/9 t)))) (pow t 3)) |
(/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t))) |
(/ (+ 4/81 (* t (+ 1/27 (* t (- (* 5/6 t) 2/9))))) (pow t 3)) |
(/.f64 (fma.f64 t (fma.f64 t (fma.f64 t #s(literal 5/6 binary64) #s(literal -2/9 binary64)) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t))) |
5/6 |
#s(literal 5/6 binary64) |
(- 5/6 (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) |
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t))) |
(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t)) |
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal -2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t)) |
5/6 |
#s(literal 5/6 binary64) |
(- 5/6 (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) |
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))) |
(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t)) |
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal -2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t)) |
(/ 4/81 (pow t 3)) |
(/.f64 #s(literal 4/81 binary64) (*.f64 t (*.f64 t t))) |
(/ (+ 4/81 (* 1/27 t)) (pow t 3)) |
(/.f64 (fma.f64 t #s(literal 1/27 binary64) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t))) |
(/ (+ 4/81 (* t (+ 1/27 (* -2/9 t)))) (pow t 3)) |
(/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t))) |
(/ (+ 4/81 (* t (+ 1/27 (* -2/9 t)))) (pow t 3)) |
(/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t))) |
(/ -2/9 t) |
(/.f64 #s(literal -2/9 binary64) t) |
(/ (- (* 1/27 (/ 1 t)) 2/9) t) |
(/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t) |
(/ (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9) t) |
(/.f64 (-.f64 #s(literal -2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t) |
(/ (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9) t) |
(/.f64 (-.f64 #s(literal -2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t) |
(/ -2/9 t) |
(/.f64 #s(literal -2/9 binary64) t) |
(* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)) |
(/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t) |
(* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)) |
(/.f64 (-.f64 #s(literal -2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t) |
(* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)) |
(/.f64 (-.f64 #s(literal -2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t) |
(/ 4/81 (pow t 2)) |
(/.f64 #s(literal 4/81 binary64) (*.f64 t t)) |
(/ (+ 4/81 (* 1/27 t)) (pow t 2)) |
(/.f64 (fma.f64 t #s(literal 1/27 binary64) #s(literal 4/81 binary64)) (*.f64 t t)) |
(/ (+ 4/81 (* t (+ 1/27 (* -2/9 t)))) (pow t 2)) |
(/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t t)) |
(/ (+ 4/81 (* t (+ 1/27 (* -2/9 t)))) (pow t 2)) |
(/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t t)) |
-2/9 |
#s(literal -2/9 binary64) |
(- (* 1/27 (/ 1 t)) 2/9) |
(+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) |
(- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9) |
(-.f64 #s(literal -2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) |
(- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9) |
(-.f64 #s(literal -2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) |
-2/9 |
#s(literal -2/9 binary64) |
(- (* 1/27 (/ 1 t)) 2/9) |
(+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) |
(- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9) |
(-.f64 #s(literal -2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) |
(- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9) |
(-.f64 #s(literal -2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) |
(/ 4/81 t) |
(/.f64 #s(literal 4/81 binary64) t) |
(/ 4/81 t) |
(/.f64 #s(literal 4/81 binary64) t) |
(/ 4/81 t) |
(/.f64 #s(literal 4/81 binary64) t) |
(/ 4/81 t) |
(/.f64 #s(literal 4/81 binary64) t) |
(/ 4/81 t) |
(/.f64 #s(literal 4/81 binary64) t) |
(/ 4/81 t) |
(/.f64 #s(literal 4/81 binary64) t) |
(/ 4/81 t) |
(/.f64 #s(literal 4/81 binary64) t) |
(/ 4/81 t) |
(/.f64 #s(literal 4/81 binary64) t) |
(/ 4/81 t) |
(/.f64 #s(literal 4/81 binary64) t) |
(/ 4/81 t) |
(/.f64 #s(literal 4/81 binary64) t) |
(/ 4/81 t) |
(/.f64 #s(literal 4/81 binary64) t) |
(/ 4/81 t) |
(/.f64 #s(literal 4/81 binary64) t) |
(/ 4/81 (pow t 2)) |
(/.f64 #s(literal 4/81 binary64) (*.f64 t t)) |
(/ (+ 4/81 (* 1/27 t)) (pow t 2)) |
(/.f64 (fma.f64 t #s(literal 1/27 binary64) #s(literal 4/81 binary64)) (*.f64 t t)) |
(/ (+ 4/81 (* 1/27 t)) (pow t 2)) |
(/.f64 (fma.f64 t #s(literal 1/27 binary64) #s(literal 4/81 binary64)) (*.f64 t t)) |
(/ (+ 4/81 (* 1/27 t)) (pow t 2)) |
(/.f64 (fma.f64 t #s(literal 1/27 binary64) #s(literal 4/81 binary64)) (*.f64 t t)) |
(/ 1/27 t) |
(/.f64 #s(literal 1/27 binary64) t) |
(/ (+ 1/27 (* 4/81 (/ 1 t))) t) |
(/.f64 (-.f64 #s(literal 1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t) |
(/ (+ 1/27 (* 4/81 (/ 1 t))) t) |
(/.f64 (-.f64 #s(literal 1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t) |
(/ (+ 1/27 (* 4/81 (/ 1 t))) t) |
(/.f64 (-.f64 #s(literal 1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t) |
(/ 1/27 t) |
(/.f64 #s(literal 1/27 binary64) t) |
(/ (+ 1/27 (* 4/81 (/ 1 t))) t) |
(/.f64 (-.f64 #s(literal 1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t) |
(/ (+ 1/27 (* 4/81 (/ 1 t))) t) |
(/.f64 (-.f64 #s(literal 1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t) |
(/ (+ 1/27 (* 4/81 (/ 1 t))) t) |
(/.f64 (-.f64 #s(literal 1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t) |
| 1× | batch-egg-rewrite |
| 4 450× | lower-/.f32 |
| 4 442× | lower-/.f64 |
| 4 376× | lower-*.f32 |
| 4 374× | lower-*.f64 |
| 2 142× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 279 |
| 0 | 49 | 219 |
| 1 | 261 | 219 |
| 2 | 2209 | 219 |
| 0 | 8411 | 219 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 1/2 binary64)) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 5/6 binary64)) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) |
(/.f64 #s(literal -2/9 binary64) t) |
(-.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))))) (fma.f64 (*.f64 t t) (fma.f64 #s(literal 2 binary64) t #s(literal -1 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))))) (fma.f64 (*.f64 t t) (fma.f64 #s(literal 2 binary64) t #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 t t) (fma.f64 #s(literal 2 binary64) t #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 t t) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)) t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)) t)) |
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)) t) |
(+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)) |
(/.f64 #s(literal 4/81 binary64) t) |
(/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) |
| Outputs |
|---|
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 1/2 binary64)) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 5/6 binary64)) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) |
(+.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal 5/6 binary64)) |
(-.f64 (/.f64 #s(literal 25/36 binary64) (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))) (/.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t t)) (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -2/9 binary64) t) #s(literal 5/6 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -2/9 binary64) #s(literal 5/6 binary64)) |
(fma.f64 #s(literal -2/9 binary64) (/.f64 #s(literal 1 binary64) t) #s(literal 5/6 binary64)) |
(fma.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1 binary64) t) #s(literal 5/6 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -2/9 binary64) t) (-.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal 5/6 binary64)) #s(literal 25/36 binary64)) (+.f64 #s(literal 125/216 binary64) (/.f64 #s(literal -8/729 binary64) (*.f64 t (*.f64 t t)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) (-.f64 #s(literal 25/36 binary64) (/.f64 #s(literal 4/81 binary64) (*.f64 t t))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2/9 binary64) t) (-.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal 5/6 binary64)) #s(literal 25/36 binary64)) (+.f64 #s(literal 125/216 binary64) (/.f64 #s(literal -8/729 binary64) (*.f64 t (*.f64 t t))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) (-.f64 #s(literal 25/36 binary64) (/.f64 #s(literal 4/81 binary64) (*.f64 t t)))))) |
(/.f64 (+.f64 #s(literal 125/216 binary64) (/.f64 #s(literal -8/729 binary64) (*.f64 t (*.f64 t t)))) (fma.f64 (/.f64 #s(literal -2/9 binary64) t) (-.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal 5/6 binary64)) #s(literal 25/36 binary64))) |
(/.f64 (+.f64 #s(literal 125/216 binary64) (/.f64 #s(literal -8/729 binary64) (*.f64 t (*.f64 t t)))) (+.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t t)) (-.f64 #s(literal 25/36 binary64) (/.f64 #s(literal -5/27 binary64) t)))) |
(/.f64 (-.f64 #s(literal 25/36 binary64) (/.f64 #s(literal 4/81 binary64) (*.f64 t t))) (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))) |
(/.f64 (neg.f64 (+.f64 #s(literal 125/216 binary64) (/.f64 #s(literal -8/729 binary64) (*.f64 t (*.f64 t t))))) (neg.f64 (fma.f64 (/.f64 #s(literal -2/9 binary64) t) (-.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal 5/6 binary64)) #s(literal 25/36 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 125/216 binary64) (/.f64 #s(literal -8/729 binary64) (*.f64 t (*.f64 t t))))) (neg.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t t)) (-.f64 #s(literal 25/36 binary64) (/.f64 #s(literal -5/27 binary64) t))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 25/36 binary64) (/.f64 #s(literal 4/81 binary64) (*.f64 t t)))) (neg.f64 (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)))) |
(/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t t)) #s(literal 25/36 binary64)) (-.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal 5/6 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 25/36 binary64) (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))) (*.f64 (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) (/.f64 #s(literal 4/81 binary64) (*.f64 t t)))) (*.f64 (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)))) |
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(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)))) (neg.f64 (neg.f64 t))) |
(/.f64 (*.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) #s(literal -1 binary64)) (neg.f64 t)) |
(/.f64 (*.f64 (+.f64 #s(literal 1/19683 binary64) (/.f64 #s(literal 64/531441 binary64) (*.f64 t (*.f64 t t)))) (/.f64 #s(literal 1 binary64) t)) (fma.f64 (/.f64 #s(literal 4/81 binary64) t) (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) #s(literal 1/729 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (/.f64 #s(literal 16/6561 binary64) (*.f64 t t))) (/.f64 #s(literal 1 binary64) t)) (-.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) #s(literal 1 binary64))) (neg.f64 t)) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/19683 binary64) (/.f64 #s(literal 64/531441 binary64) (*.f64 t (*.f64 t t)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal 4/81 binary64) t) (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) #s(literal 1/729 binary64)) t))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/19683 binary64) (/.f64 #s(literal 64/531441 binary64) (*.f64 t (*.f64 t t)))) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal 4/81 binary64) t) (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) #s(literal 1/729 binary64)) (neg.f64 t)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (/.f64 #s(literal 16/6561 binary64) (*.f64 t t))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (/.f64 #s(literal 16/6561 binary64) (*.f64 t t))) #s(literal -1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) (neg.f64 t)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t))))) (neg.f64 (neg.f64 (neg.f64 t)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) #s(literal -1 binary64))) (neg.f64 (neg.f64 t))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/19683 binary64) (/.f64 #s(literal 64/531441 binary64) (*.f64 t (*.f64 t t)))) (/.f64 #s(literal 1 binary64) t))) (neg.f64 (fma.f64 (/.f64 #s(literal 4/81 binary64) t) (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) #s(literal 1/729 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (/.f64 #s(literal 16/6561 binary64) (*.f64 t t))) (/.f64 #s(literal 1 binary64) t))) (neg.f64 (-.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)))) |
(pow.f64 (/.f64 t (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 t (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t)) |
(*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t))) |
(*.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t))) #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) (/.f64 #s(literal 1 binary64) t)) |
(*.f64 (neg.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t))) (/.f64 #s(literal -1 binary64) t)) |
(*.f64 (*.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) t)) |
(*.f64 (pow.f64 (/.f64 t (+.f64 #s(literal 1/19683 binary64) (/.f64 #s(literal 64/531441 binary64) (*.f64 t (*.f64 t t))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 4/81 binary64) t) (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) #s(literal 1/729 binary64)))) |
(*.f64 (pow.f64 (/.f64 t (-.f64 #s(literal 1/729 binary64) (/.f64 #s(literal 16/6561 binary64) (*.f64 t t)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)))) |
Compiled 10 046 to 1 072 computations (89.3% saved)
8 alts after pruning (4 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 457 | 3 | 460 |
| Fresh | 2 | 1 | 3 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 460 | 8 | 468 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 51.8% | (-.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))))) (fma.f64 (*.f64 t t) (fma.f64 #s(literal 2 binary64) t #s(literal -1 binary64)) #s(literal 1/2 binary64)))) |
| ▶ | 51.8% | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (fma.f64 (*.f64 t t) (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
| ▶ | 52.7% | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (fma.f64 t t #s(literal 1/2 binary64))) |
| ▶ | 51.6% | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t))) |
| ✓ | 50.9% | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))) |
| ▶ | 24.3% | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 #s(literal 5/6 binary64) #s(approx (/ (+ (/ (+ 1/27 (/ 4/81 t)) t) -2/9) t) (/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t)))))) |
| ✓ | 58.6% | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 5/6 binary64)) |
| ✓ | 59.9% | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 1/2 binary64)) |
Compiled 72 to 47 computations (34.7% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 t t) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 t t) (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (fma.f64 (*.f64 t t) (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 t t #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (fma.f64 t t #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t)) |
| ✓ | cost-diff | 0 | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t))) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t))) |
| ✓ | cost-diff | 0 | #s(approx (/ (+ (/ (+ 1/27 (/ 4/81 t)) t) -2/9) t) (/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t)))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 5/6 binary64) #s(approx (/ (+ (/ (+ 1/27 (/ 4/81 t)) t) -2/9) t) (/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t))))) |
| ✓ | cost-diff | 0 | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 #s(literal 5/6 binary64) #s(approx (/ (+ (/ (+ 1/27 (/ 4/81 t)) t) -2/9) t) (/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t)))))) |
| 14 766× | lower-fma.f32 |
| 14 756× | lower-fma.f64 |
| 2 972× | lower-*.f32 |
| 2 968× | lower-*.f64 |
| 1 624× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 312 |
| 0 | 60 | 302 |
| 1 | 104 | 302 |
| 2 | 190 | 302 |
| 3 | 357 | 270 |
| 4 | 790 | 270 |
| 5 | 2539 | 262 |
| 6 | 5601 | 262 |
| 7 | 7858 | 262 |
| 0 | 8053 | 258 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 #s(literal 5/6 binary64) #s(approx (/ (+ (/ (+ 1/27 (/ 4/81 t)) t) -2/9) t) (/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t)))))) |
(+.f64 #s(literal 5/6 binary64) #s(approx (/ (+ (/ (+ 1/27 (/ 4/81 t)) t) -2/9) t) (/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t))))) |
#s(literal 5/6 binary64) |
#s(approx (/ (+ (/ (+ 1/27 (/ 4/81 t)) t) -2/9) t) (/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t)))) |
(/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t))) |
(fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) |
t |
(fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) |
#s(literal -2/9 binary64) |
#s(literal 1/27 binary64) |
#s(literal 4/81 binary64) |
(*.f64 t (*.f64 t t)) |
(*.f64 t t) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t))) |
(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t)) |
#s(literal 5/6 binary64) |
(/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t) |
(+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) |
#s(literal 2/9 binary64) |
(/.f64 #s(literal -1/27 binary64) t) |
#s(literal -1/27 binary64) |
t |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (fma.f64 t t #s(literal 1/2 binary64))) |
(fma.f64 t t #s(literal 1/2 binary64)) |
t |
#s(literal 1/2 binary64) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (fma.f64 (*.f64 t t) (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 t t) (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 t t) |
t |
(fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) |
#s(literal -2 binary64) |
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 #s(literal 5/6 binary64) #s(approx (/ (+ (/ (+ 1/27 (/ 4/81 t)) t) -2/9) t) (/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t)))))) |
(+.f64 #s(literal 5/6 binary64) #s(approx (/ (+ (/ (+ 1/27 (/ 4/81 t)) t) -2/9) t) (/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t))))) |
#s(literal 5/6 binary64) |
#s(approx (/ (+ (/ (+ 1/27 (/ 4/81 t)) t) -2/9) t) (/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t)))) |
(/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t))) |
(fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) |
t |
(fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) |
#s(literal -2/9 binary64) |
#s(literal 1/27 binary64) |
#s(literal 4/81 binary64) |
(*.f64 t (*.f64 t t)) |
(*.f64 t t) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t))) |
(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t)) |
#s(literal 5/6 binary64) |
(/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t) |
(+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) |
#s(literal 2/9 binary64) |
(/.f64 #s(literal -1/27 binary64) t) |
#s(literal -1/27 binary64) |
t |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (fma.f64 t t #s(literal 1/2 binary64))) |
(fma.f64 t t #s(literal 1/2 binary64)) |
t |
#s(literal 1/2 binary64) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (fma.f64 (*.f64 t t) (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (fma.f64 t (fma.f64 (*.f64 t t) #s(literal -2 binary64) t) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 t t) (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 t (fma.f64 (*.f64 t t) #s(literal -2 binary64) t) #s(literal 1/2 binary64)) |
(*.f64 t t) |
t |
(fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) |
#s(literal -2 binary64) |
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 t t) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 t t) (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 51.8% | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (fma.f64 (*.f64 t t) (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 t t #s(literal 1/2 binary64)) |
| ✓ | accuracy | 52.7% | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (fma.f64 t t #s(literal 1/2 binary64))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) |
| ✓ | accuracy | 99.5% | (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal -1/27 binary64) t) |
| ✓ | accuracy | 51.6% | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t))) |
| ✓ | accuracy | 99.9% | (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) |
| ✓ | accuracy | 99.7% | (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) |
| ✓ | accuracy | 66.9% | (/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t))) |
| ✓ | accuracy | 50.5% | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 #s(literal 5/6 binary64) #s(approx (/ (+ (/ (+ 1/27 (/ 4/81 t)) t) -2/9) t) (/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t)))))) |
| 90.0ms | 256× | 0 | valid |
Compiled 242 to 44 computations (81.8% saved)
ival-div: 20.0ms (31.2% of total)const: 17.0ms (26.5% of total)ival-add: 12.0ms (18.7% of total)ival-mult: 11.0ms (17.1% of total)ival-sub: 3.0ms (4.7% of total)exact: 1.0ms (1.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 #s(literal 5/6 binary64) #s(approx (/ (+ (/ (+ 1/27 (/ 4/81 t)) t) -2/9) t) (/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t))))))> |
#<alt (+.f64 #s(literal 5/6 binary64) #s(approx (/ (+ (/ (+ 1/27 (/ 4/81 t)) t) -2/9) t) (/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t)))))> |
#<alt #s(approx (/ (+ (/ (+ 1/27 (/ 4/81 t)) t) -2/9) t) (/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t))))> |
#<alt (/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t)))> |
#<alt #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t)))> |
#<alt (-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t))> |
#<alt (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t)> |
#<alt (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t))> |
#<alt #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (fma.f64 t t #s(literal 1/2 binary64)))> |
#<alt (fma.f64 t t #s(literal 1/2 binary64))> |
#<alt #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (fma.f64 (*.f64 t t) (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64)))> |
#<alt (fma.f64 (*.f64 t t) (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))> |
#<alt (*.f64 t t)> |
#<alt (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64))> |
#<alt (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64))> |
#<alt (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64))> |
#<alt (/.f64 #s(literal -1/27 binary64) t)> |
| Outputs |
|---|
#<alt 1/2> |
#<alt (+ 1/2 (pow t 2))> |
#<alt (+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))> |
#<alt (+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2)))))> |
#<alt 5/6> |
#<alt (- 5/6 (* 2/9 (/ 1 t)))> |
#<alt (- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))> |
#<alt (- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t)))> |
#<alt 5/6> |
#<alt (- 5/6 (* 2/9 (/ 1 t)))> |
#<alt (+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))> |
#<alt (+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)))> |
#<alt (/ 4/81 (pow t 3))> |
#<alt (/ (+ 4/81 (* 1/27 t)) (pow t 3))> |
#<alt (/ (+ 4/81 (* t (+ 1/27 (* -2/9 t)))) (pow t 3))> |
#<alt (/ (+ 4/81 (* t (+ 1/27 (* t (- (* 5/6 t) 2/9))))) (pow t 3))> |
#<alt 5/6> |
#<alt (- 5/6 (* 2/9 (/ 1 t)))> |
#<alt (- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))> |
#<alt (- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t)))> |
#<alt 5/6> |
#<alt (- 5/6 (* 2/9 (/ 1 t)))> |
#<alt (+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))> |
#<alt (+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)))> |
#<alt (/ 4/81 (pow t 3))> |
#<alt (/ (+ 4/81 (* 1/27 t)) (pow t 3))> |
#<alt (/ (+ 4/81 (* t (+ 1/27 (* -2/9 t)))) (pow t 3))> |
#<alt (/ (+ 4/81 (* t (+ 1/27 (* -2/9 t)))) (pow t 3))> |
#<alt (/ -2/9 t)> |
#<alt (/ (- (* 1/27 (/ 1 t)) 2/9) t)> |
#<alt (/ (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9) t)> |
#<alt (/ (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9) t)> |
#<alt (/ -2/9 t)> |
#<alt (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))> |
#<alt (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t))> |
#<alt (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t))> |
#<alt (/ 4/81 (pow t 3))> |
#<alt (/ (+ 4/81 (* 1/27 t)) (pow t 3))> |
#<alt (/ (+ 4/81 (* t (+ 1/27 (* -2/9 t)))) (pow t 3))> |
#<alt (/ (+ 4/81 (* t (+ 1/27 (* -2/9 t)))) (pow t 3))> |
#<alt (/ -2/9 t)> |
#<alt (/ (- (* 1/27 (/ 1 t)) 2/9) t)> |
#<alt (/ (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9) t)> |
#<alt (/ (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9) t)> |
#<alt (/ -2/9 t)> |
#<alt (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))> |
#<alt (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t))> |
#<alt (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t))> |
#<alt 1/2> |
#<alt (+ 1/2 (pow t 2))> |
#<alt (+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))> |
#<alt (+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2)))))> |
#<alt 5/6> |
#<alt (- 5/6 (* 2/9 (/ 1 t)))> |
#<alt (- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))> |
#<alt (- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t)))> |
#<alt 5/6> |
#<alt (- 5/6 (* 2/9 (/ 1 t)))> |
#<alt (+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))> |
#<alt (+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)))> |
#<alt (/ 1/27 (pow t 2))> |
#<alt (/ (+ 1/27 (* -2/9 t)) (pow t 2))> |
#<alt (/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2))> |
#<alt (/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2))> |
#<alt 5/6> |
#<alt (- 5/6 (* 2/9 (/ 1 t)))> |
#<alt (- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))> |
#<alt (- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))> |
#<alt 5/6> |
#<alt (- 5/6 (* 2/9 (/ 1 t)))> |
#<alt (+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))> |
#<alt (+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))> |
#<alt (/ -1/27 (pow t 2))> |
#<alt (/ (- (* 2/9 t) 1/27) (pow t 2))> |
#<alt (/ (- (* 2/9 t) 1/27) (pow t 2))> |
#<alt (/ (- (* 2/9 t) 1/27) (pow t 2))> |
#<alt (/ 2/9 t)> |
#<alt (/ (- 2/9 (* 1/27 (/ 1 t))) t)> |
#<alt (/ (- 2/9 (* 1/27 (/ 1 t))) t)> |
#<alt (/ (- 2/9 (* 1/27 (/ 1 t))) t)> |
#<alt (/ 2/9 t)> |
#<alt (* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t))> |
#<alt (* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t))> |
#<alt (* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t))> |
#<alt (/ -1/27 t)> |
#<alt (/ (- (* 2/9 t) 1/27) t)> |
#<alt (/ (- (* 2/9 t) 1/27) t)> |
#<alt (/ (- (* 2/9 t) 1/27) t)> |
#<alt 2/9> |
#<alt (- 2/9 (* 1/27 (/ 1 t)))> |
#<alt (- 2/9 (* 1/27 (/ 1 t)))> |
#<alt (- 2/9 (* 1/27 (/ 1 t)))> |
#<alt 2/9> |
#<alt (- 2/9 (* 1/27 (/ 1 t)))> |
#<alt (- 2/9 (* 1/27 (/ 1 t)))> |
#<alt (- 2/9 (* 1/27 (/ 1 t)))> |
#<alt 1/2> |
#<alt (+ 1/2 (pow t 2))> |
#<alt (+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))> |
#<alt (+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2)))))> |
#<alt 5/6> |
#<alt (- 5/6 (* 2/9 (/ 1 t)))> |
#<alt (- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))> |
#<alt (- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t)))> |
#<alt 5/6> |
#<alt (- 5/6 (* 2/9 (/ 1 t)))> |
#<alt (+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))> |
#<alt (+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)))> |
#<alt 1/2> |
#<alt (+ 1/2 (pow t 2))> |
#<alt (+ 1/2 (pow t 2))> |
#<alt (+ 1/2 (pow t 2))> |
#<alt (pow t 2)> |
#<alt (* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))> |
#<alt (* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))> |
#<alt (* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))> |
#<alt (pow t 2)> |
#<alt (* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))> |
#<alt (* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))> |
#<alt (* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))> |
#<alt 1/2> |
#<alt (+ 1/2 (pow t 2))> |
#<alt (+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))> |
#<alt (+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2)))))> |
#<alt 5/6> |
#<alt (- 5/6 (* 2/9 (/ 1 t)))> |
#<alt (- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))> |
#<alt (- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t)))> |
#<alt 5/6> |
#<alt (- 5/6 (* 2/9 (/ 1 t)))> |
#<alt (+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))> |
#<alt (+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)))> |
#<alt 1/2> |
#<alt (+ 1/2 (pow t 2))> |
#<alt (+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))> |
#<alt (+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))> |
#<alt (* -2 (pow t 3))> |
#<alt (* (pow t 3) (- (/ 1 t) 2))> |
#<alt (* (pow t 3) (- (+ (/ 1/2 (pow t 3)) (/ 1 t)) 2))> |
#<alt (* (pow t 3) (- (+ (/ 1/2 (pow t 3)) (/ 1 t)) 2))> |
#<alt (* -2 (pow t 3))> |
#<alt (* -1 (* (pow t 3) (- 2 (/ 1 t))))> |
#<alt (* -1 (* (pow t 3) (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t)))))> |
#<alt (* -1 (* (pow t 3) (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t)))))> |
#<alt (pow t 2)> |
#<alt (pow t 2)> |
#<alt (pow t 2)> |
#<alt (pow t 2)> |
#<alt (pow t 2)> |
#<alt (pow t 2)> |
#<alt (pow t 2)> |
#<alt (pow t 2)> |
#<alt (pow t 2)> |
#<alt (pow t 2)> |
#<alt (pow t 2)> |
#<alt (pow t 2)> |
#<alt 1> |
#<alt (+ 1 (* -2 t))> |
#<alt (+ 1 (* -2 t))> |
#<alt (+ 1 (* -2 t))> |
#<alt (* -2 t)> |
#<alt (* t (- (/ 1 t) 2))> |
#<alt (* t (- (/ 1 t) 2))> |
#<alt (* t (- (/ 1 t) 2))> |
#<alt (* -2 t)> |
#<alt (* -1 (* t (- 2 (/ 1 t))))> |
#<alt (* -1 (* t (- 2 (/ 1 t))))> |
#<alt (* -1 (* t (- 2 (/ 1 t))))> |
#<alt 1/27> |
#<alt (+ 1/27 (* -2/9 t))> |
#<alt (+ 1/27 (* -2/9 t))> |
#<alt (+ 1/27 (* -2/9 t))> |
#<alt (* -2/9 t)> |
#<alt (* t (- (* 1/27 (/ 1 t)) 2/9))> |
#<alt (* t (- (* 1/27 (/ 1 t)) 2/9))> |
#<alt (* t (- (* 1/27 (/ 1 t)) 2/9))> |
#<alt (* -2/9 t)> |
#<alt (* -1 (* t (- 2/9 (* 1/27 (/ 1 t)))))> |
#<alt (* -1 (* t (- 2/9 (* 1/27 (/ 1 t)))))> |
#<alt (* -1 (* t (- 2/9 (* 1/27 (/ 1 t)))))> |
#<alt 4/81> |
#<alt (+ 4/81 (* 1/27 t))> |
#<alt (+ 4/81 (* t (+ 1/27 (* -2/9 t))))> |
#<alt (+ 4/81 (* t (+ 1/27 (* -2/9 t))))> |
#<alt (* -2/9 (pow t 2))> |
#<alt (* (pow t 2) (- (* 1/27 (/ 1 t)) 2/9))> |
#<alt (* (pow t 2) (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9))> |
#<alt (* (pow t 2) (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9))> |
#<alt (* -2/9 (pow t 2))> |
#<alt (* (pow t 2) (- (* 1/27 (/ 1 t)) 2/9))> |
#<alt (* (pow t 2) (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9))> |
#<alt (* (pow t 2) (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9))> |
#<alt (/ -1/27 t)> |
#<alt (/ -1/27 t)> |
#<alt (/ -1/27 t)> |
#<alt (/ -1/27 t)> |
#<alt (/ -1/27 t)> |
#<alt (/ -1/27 t)> |
#<alt (/ -1/27 t)> |
#<alt (/ -1/27 t)> |
#<alt (/ -1/27 t)> |
#<alt (/ -1/27 t)> |
#<alt (/ -1/27 t)> |
#<alt (/ -1/27 t)> |
51 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | t | @ | -inf | (/ (+ (* t (+ (* t -2/9) 1/27)) 4/81) (* t (* t t))) |
| 0.0ms | t | @ | 0 | (/ (+ 2/9 (/ -1/27 t)) t) |
| 0.0ms | t | @ | 0 | (/ -1/27 t) |
| 0.0ms | t | @ | -inf | (/ (+ 2/9 (/ -1/27 t)) t) |
| 0.0ms | t | @ | inf | (/ (+ (* t (+ (* t -2/9) 1/27)) 4/81) (* t (* t t))) |
| 1× | egg-herbie |
| 9 332× | lower-fma.f64 |
| 9 332× | lower-fma.f32 |
| 3 448× | lower-*.f64 |
| 3 448× | lower-*.f32 |
| 1 664× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 110 | 1398 |
| 1 | 280 | 1350 |
| 2 | 771 | 1310 |
| 3 | 2158 | 1310 |
| 4 | 6205 | 1274 |
| 0 | 8145 | 1177 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+ 1/2 (pow t 2)) |
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t)))) |
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2))))) |
5/6 |
(- 5/6 (* 2/9 (/ 1 t))) |
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t))) |
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t))) |
5/6 |
(- 5/6 (* 2/9 (/ 1 t))) |
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))) |
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t))) |
(/ 4/81 (pow t 3)) |
(/ (+ 4/81 (* 1/27 t)) (pow t 3)) |
(/ (+ 4/81 (* t (+ 1/27 (* -2/9 t)))) (pow t 3)) |
(/ (+ 4/81 (* t (+ 1/27 (* t (- (* 5/6 t) 2/9))))) (pow t 3)) |
5/6 |
(- 5/6 (* 2/9 (/ 1 t))) |
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t))) |
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t))) |
5/6 |
(- 5/6 (* 2/9 (/ 1 t))) |
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))) |
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t))) |
(/ 4/81 (pow t 3)) |
(/ (+ 4/81 (* 1/27 t)) (pow t 3)) |
(/ (+ 4/81 (* t (+ 1/27 (* -2/9 t)))) (pow t 3)) |
(/ (+ 4/81 (* t (+ 1/27 (* -2/9 t)))) (pow t 3)) |
(/ -2/9 t) |
(/ (- (* 1/27 (/ 1 t)) 2/9) t) |
(/ (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9) t) |
(/ (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9) t) |
(/ -2/9 t) |
(* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)) |
(* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)) |
(* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)) |
(/ 4/81 (pow t 3)) |
(/ (+ 4/81 (* 1/27 t)) (pow t 3)) |
(/ (+ 4/81 (* t (+ 1/27 (* -2/9 t)))) (pow t 3)) |
(/ (+ 4/81 (* t (+ 1/27 (* -2/9 t)))) (pow t 3)) |
(/ -2/9 t) |
(/ (- (* 1/27 (/ 1 t)) 2/9) t) |
(/ (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9) t) |
(/ (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9) t) |
(/ -2/9 t) |
(* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)) |
(* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)) |
(* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)) |
1/2 |
(+ 1/2 (pow t 2)) |
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t)))) |
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2))))) |
5/6 |
(- 5/6 (* 2/9 (/ 1 t))) |
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t))) |
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t))) |
5/6 |
(- 5/6 (* 2/9 (/ 1 t))) |
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))) |
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t))) |
(/ 1/27 (pow t 2)) |
(/ (+ 1/27 (* -2/9 t)) (pow t 2)) |
(/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2)) |
(/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2)) |
5/6 |
(- 5/6 (* 2/9 (/ 1 t))) |
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t))) |
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t))) |
5/6 |
(- 5/6 (* 2/9 (/ 1 t))) |
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))) |
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))) |
(/ -1/27 (pow t 2)) |
(/ (- (* 2/9 t) 1/27) (pow t 2)) |
(/ (- (* 2/9 t) 1/27) (pow t 2)) |
(/ (- (* 2/9 t) 1/27) (pow t 2)) |
(/ 2/9 t) |
(/ (- 2/9 (* 1/27 (/ 1 t))) t) |
(/ (- 2/9 (* 1/27 (/ 1 t))) t) |
(/ (- 2/9 (* 1/27 (/ 1 t))) t) |
(/ 2/9 t) |
(* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t)) |
(* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t)) |
(* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t)) |
(/ -1/27 t) |
(/ (- (* 2/9 t) 1/27) t) |
(/ (- (* 2/9 t) 1/27) t) |
(/ (- (* 2/9 t) 1/27) t) |
2/9 |
(- 2/9 (* 1/27 (/ 1 t))) |
(- 2/9 (* 1/27 (/ 1 t))) |
(- 2/9 (* 1/27 (/ 1 t))) |
2/9 |
(- 2/9 (* 1/27 (/ 1 t))) |
(- 2/9 (* 1/27 (/ 1 t))) |
(- 2/9 (* 1/27 (/ 1 t))) |
1/2 |
(+ 1/2 (pow t 2)) |
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t)))) |
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2))))) |
5/6 |
(- 5/6 (* 2/9 (/ 1 t))) |
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t))) |
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t))) |
5/6 |
(- 5/6 (* 2/9 (/ 1 t))) |
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))) |
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t))) |
1/2 |
(+ 1/2 (pow t 2)) |
(+ 1/2 (pow t 2)) |
(+ 1/2 (pow t 2)) |
(pow t 2) |
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2))))) |
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2))))) |
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2))))) |
(pow t 2) |
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2))))) |
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2))))) |
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2))))) |
1/2 |
(+ 1/2 (pow t 2)) |
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t)))) |
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2))))) |
5/6 |
(- 5/6 (* 2/9 (/ 1 t))) |
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t))) |
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t))) |
5/6 |
(- 5/6 (* 2/9 (/ 1 t))) |
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))) |
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t))) |
1/2 |
(+ 1/2 (pow t 2)) |
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t)))) |
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t)))) |
(* -2 (pow t 3)) |
(* (pow t 3) (- (/ 1 t) 2)) |
(* (pow t 3) (- (+ (/ 1/2 (pow t 3)) (/ 1 t)) 2)) |
(* (pow t 3) (- (+ (/ 1/2 (pow t 3)) (/ 1 t)) 2)) |
(* -2 (pow t 3)) |
(* -1 (* (pow t 3) (- 2 (/ 1 t)))) |
(* -1 (* (pow t 3) (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t))))) |
(* -1 (* (pow t 3) (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t))))) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
1 |
(+ 1 (* -2 t)) |
(+ 1 (* -2 t)) |
(+ 1 (* -2 t)) |
(* -2 t) |
(* t (- (/ 1 t) 2)) |
(* t (- (/ 1 t) 2)) |
(* t (- (/ 1 t) 2)) |
(* -2 t) |
(* -1 (* t (- 2 (/ 1 t)))) |
(* -1 (* t (- 2 (/ 1 t)))) |
(* -1 (* t (- 2 (/ 1 t)))) |
1/27 |
(+ 1/27 (* -2/9 t)) |
(+ 1/27 (* -2/9 t)) |
(+ 1/27 (* -2/9 t)) |
(* -2/9 t) |
(* t (- (* 1/27 (/ 1 t)) 2/9)) |
(* t (- (* 1/27 (/ 1 t)) 2/9)) |
(* t (- (* 1/27 (/ 1 t)) 2/9)) |
(* -2/9 t) |
(* -1 (* t (- 2/9 (* 1/27 (/ 1 t))))) |
(* -1 (* t (- 2/9 (* 1/27 (/ 1 t))))) |
(* -1 (* t (- 2/9 (* 1/27 (/ 1 t))))) |
4/81 |
(+ 4/81 (* 1/27 t)) |
(+ 4/81 (* t (+ 1/27 (* -2/9 t)))) |
(+ 4/81 (* t (+ 1/27 (* -2/9 t)))) |
(* -2/9 (pow t 2)) |
(* (pow t 2) (- (* 1/27 (/ 1 t)) 2/9)) |
(* (pow t 2) (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9)) |
(* (pow t 2) (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9)) |
(* -2/9 (pow t 2)) |
(* (pow t 2) (- (* 1/27 (/ 1 t)) 2/9)) |
(* (pow t 2) (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9)) |
(* (pow t 2) (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9)) |
(/ -1/27 t) |
(/ -1/27 t) |
(/ -1/27 t) |
(/ -1/27 t) |
(/ -1/27 t) |
(/ -1/27 t) |
(/ -1/27 t) |
(/ -1/27 t) |
(/ -1/27 t) |
(/ -1/27 t) |
(/ -1/27 t) |
(/ -1/27 t) |
| Outputs |
|---|
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (pow t 2)) |
(fma.f64 t t #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t)))) |
(fma.f64 t (fma.f64 t (*.f64 t #s(literal -2 binary64)) t) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2))))) |
(fma.f64 t (fma.f64 (*.f64 t t) (+.f64 t #s(literal -2 binary64)) t) #s(literal 1/2 binary64)) |
5/6 |
#s(literal 5/6 binary64) |
(- 5/6 (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) |
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) (*.f64 t t))) |
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)) t)) |
5/6 |
#s(literal 5/6 binary64) |
(- 5/6 (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) |
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) (*.f64 t t))) |
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)) t)) |
(/ 4/81 (pow t 3)) |
(/.f64 #s(literal 4/81 binary64) (*.f64 t (*.f64 t t))) |
(/ (+ 4/81 (* 1/27 t)) (pow t 3)) |
(/.f64 (fma.f64 t #s(literal 1/27 binary64) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t))) |
(/ (+ 4/81 (* t (+ 1/27 (* -2/9 t)))) (pow t 3)) |
(/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t))) |
(/ (+ 4/81 (* t (+ 1/27 (* t (- (* 5/6 t) 2/9))))) (pow t 3)) |
(/.f64 (fma.f64 t (fma.f64 t (fma.f64 t #s(literal 5/6 binary64) #s(literal -2/9 binary64)) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t))) |
5/6 |
#s(literal 5/6 binary64) |
(- 5/6 (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) |
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) (*.f64 t t))) |
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)) t)) |
5/6 |
#s(literal 5/6 binary64) |
(- 5/6 (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) |
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) (*.f64 t t))) |
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)) t)) |
(/ 4/81 (pow t 3)) |
(/.f64 #s(literal 4/81 binary64) (*.f64 t (*.f64 t t))) |
(/ (+ 4/81 (* 1/27 t)) (pow t 3)) |
(/.f64 (fma.f64 t #s(literal 1/27 binary64) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t))) |
(/ (+ 4/81 (* t (+ 1/27 (* -2/9 t)))) (pow t 3)) |
(/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t))) |
(/ (+ 4/81 (* t (+ 1/27 (* -2/9 t)))) (pow t 3)) |
(/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t))) |
(/ -2/9 t) |
(/.f64 #s(literal -2/9 binary64) t) |
(/ (- (* 1/27 (/ 1 t)) 2/9) t) |
(/.f64 (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) (*.f64 t t)) |
(/ (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9) t) |
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)) t) |
(/ (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9) t) |
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)) t) |
(/ -2/9 t) |
(/.f64 #s(literal -2/9 binary64) t) |
(* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)) |
(/.f64 (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) (*.f64 t t)) |
(* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)) |
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)) t) |
(* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)) |
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)) t) |
(/ 4/81 (pow t 3)) |
(/.f64 #s(literal 4/81 binary64) (*.f64 t (*.f64 t t))) |
(/ (+ 4/81 (* 1/27 t)) (pow t 3)) |
(/.f64 (fma.f64 t #s(literal 1/27 binary64) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t))) |
(/ (+ 4/81 (* t (+ 1/27 (* -2/9 t)))) (pow t 3)) |
(/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t))) |
(/ (+ 4/81 (* t (+ 1/27 (* -2/9 t)))) (pow t 3)) |
(/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t))) |
(/ -2/9 t) |
(/.f64 #s(literal -2/9 binary64) t) |
(/ (- (* 1/27 (/ 1 t)) 2/9) t) |
(/.f64 (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) (*.f64 t t)) |
(/ (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9) t) |
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)) t) |
(/ (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9) t) |
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)) t) |
(/ -2/9 t) |
(/.f64 #s(literal -2/9 binary64) t) |
(* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)) |
(/.f64 (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) (*.f64 t t)) |
(* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)) |
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)) t) |
(* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)) |
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)) t) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (pow t 2)) |
(fma.f64 t t #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t)))) |
(fma.f64 t (fma.f64 t (*.f64 t #s(literal -2 binary64)) t) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2))))) |
(fma.f64 t (fma.f64 (*.f64 t t) (+.f64 t #s(literal -2 binary64)) t) #s(literal 1/2 binary64)) |
5/6 |
#s(literal 5/6 binary64) |
(- 5/6 (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) |
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) (*.f64 t t))) |
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)) t)) |
5/6 |
#s(literal 5/6 binary64) |
(- 5/6 (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) |
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) (*.f64 t t))) |
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)) t)) |
(/ 1/27 (pow t 2)) |
(/.f64 #s(literal 1/27 binary64) (*.f64 t t)) |
(/ (+ 1/27 (* -2/9 t)) (pow t 2)) |
(/.f64 (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) (*.f64 t t)) |
(/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2)) |
(/.f64 (fma.f64 t (fma.f64 t #s(literal 5/6 binary64) #s(literal -2/9 binary64)) #s(literal 1/27 binary64)) (*.f64 t t)) |
(/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2)) |
(/.f64 (fma.f64 t (fma.f64 t #s(literal 5/6 binary64) #s(literal -2/9 binary64)) #s(literal 1/27 binary64)) (*.f64 t t)) |
5/6 |
#s(literal 5/6 binary64) |
(- 5/6 (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) |
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) (*.f64 t t))) |
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) (*.f64 t t))) |
5/6 |
#s(literal 5/6 binary64) |
(- 5/6 (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) |
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) (*.f64 t t))) |
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) (*.f64 t t))) |
(/ -1/27 (pow t 2)) |
(/.f64 #s(literal -1/27 binary64) (*.f64 t t)) |
(/ (- (* 2/9 t) 1/27) (pow t 2)) |
(/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)) |
(/ (- (* 2/9 t) 1/27) (pow t 2)) |
(/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)) |
(/ (- (* 2/9 t) 1/27) (pow t 2)) |
(/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)) |
(/ 2/9 t) |
(/.f64 #s(literal 2/9 binary64) t) |
(/ (- 2/9 (* 1/27 (/ 1 t))) t) |
(/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)) |
(/ (- 2/9 (* 1/27 (/ 1 t))) t) |
(/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)) |
(/ (- 2/9 (* 1/27 (/ 1 t))) t) |
(/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)) |
(/ 2/9 t) |
(/.f64 #s(literal 2/9 binary64) t) |
(* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t)) |
(/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)) |
(* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t)) |
(/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)) |
(* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t)) |
(/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)) |
(/ -1/27 t) |
(/.f64 #s(literal -1/27 binary64) t) |
(/ (- (* 2/9 t) 1/27) t) |
(+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) |
(/ (- (* 2/9 t) 1/27) t) |
(+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) |
(/ (- (* 2/9 t) 1/27) t) |
(+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) |
2/9 |
#s(literal 2/9 binary64) |
(- 2/9 (* 1/27 (/ 1 t))) |
(+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) |
(- 2/9 (* 1/27 (/ 1 t))) |
(+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) |
(- 2/9 (* 1/27 (/ 1 t))) |
(+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) |
2/9 |
#s(literal 2/9 binary64) |
(- 2/9 (* 1/27 (/ 1 t))) |
(+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) |
(- 2/9 (* 1/27 (/ 1 t))) |
(+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) |
(- 2/9 (* 1/27 (/ 1 t))) |
(+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (pow t 2)) |
(fma.f64 t t #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t)))) |
(fma.f64 t (fma.f64 t (*.f64 t #s(literal -2 binary64)) t) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2))))) |
(fma.f64 t (fma.f64 (*.f64 t t) (+.f64 t #s(literal -2 binary64)) t) #s(literal 1/2 binary64)) |
5/6 |
#s(literal 5/6 binary64) |
(- 5/6 (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) |
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) (*.f64 t t))) |
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)) t)) |
5/6 |
#s(literal 5/6 binary64) |
(- 5/6 (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) |
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) (*.f64 t t))) |
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)) t)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (pow t 2)) |
(fma.f64 t t #s(literal 1/2 binary64)) |
(+ 1/2 (pow t 2)) |
(fma.f64 t t #s(literal 1/2 binary64)) |
(+ 1/2 (pow t 2)) |
(fma.f64 t t #s(literal 1/2 binary64)) |
(pow t 2) |
(*.f64 t t) |
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2))))) |
(fma.f64 t t #s(literal 1/2 binary64)) |
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2))))) |
(fma.f64 t t #s(literal 1/2 binary64)) |
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2))))) |
(fma.f64 t t #s(literal 1/2 binary64)) |
(pow t 2) |
(*.f64 t t) |
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2))))) |
(fma.f64 t t #s(literal 1/2 binary64)) |
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2))))) |
(fma.f64 t t #s(literal 1/2 binary64)) |
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2))))) |
(fma.f64 t t #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (pow t 2)) |
(fma.f64 t t #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t)))) |
(fma.f64 t (fma.f64 t (*.f64 t #s(literal -2 binary64)) t) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2))))) |
(fma.f64 t (fma.f64 (*.f64 t t) (+.f64 t #s(literal -2 binary64)) t) #s(literal 1/2 binary64)) |
5/6 |
#s(literal 5/6 binary64) |
(- 5/6 (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) |
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) (*.f64 t t))) |
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)) t)) |
5/6 |
#s(literal 5/6 binary64) |
(- 5/6 (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) |
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) (*.f64 t t))) |
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)) t)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (pow t 2)) |
(fma.f64 t t #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t)))) |
(fma.f64 t (fma.f64 t (*.f64 t #s(literal -2 binary64)) t) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t)))) |
(fma.f64 t (fma.f64 t (*.f64 t #s(literal -2 binary64)) t) #s(literal 1/2 binary64)) |
(* -2 (pow t 3)) |
(*.f64 t (*.f64 (*.f64 t t) #s(literal -2 binary64))) |
(* (pow t 3) (- (/ 1 t) 2)) |
(*.f64 t (fma.f64 t (*.f64 t #s(literal -2 binary64)) t)) |
(* (pow t 3) (- (+ (/ 1/2 (pow t 3)) (/ 1 t)) 2)) |
(fma.f64 t (fma.f64 t (*.f64 t #s(literal -2 binary64)) t) #s(literal 1/2 binary64)) |
(* (pow t 3) (- (+ (/ 1/2 (pow t 3)) (/ 1 t)) 2)) |
(fma.f64 t (fma.f64 t (*.f64 t #s(literal -2 binary64)) t) #s(literal 1/2 binary64)) |
(* -2 (pow t 3)) |
(*.f64 t (*.f64 (*.f64 t t) #s(literal -2 binary64))) |
(* -1 (* (pow t 3) (- 2 (/ 1 t)))) |
(*.f64 t (fma.f64 t (*.f64 t #s(literal -2 binary64)) t)) |
(* -1 (* (pow t 3) (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t))))) |
(fma.f64 t (fma.f64 t (*.f64 t #s(literal -2 binary64)) t) #s(literal 1/2 binary64)) |
(* -1 (* (pow t 3) (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t))))) |
(fma.f64 t (fma.f64 t (*.f64 t #s(literal -2 binary64)) t) #s(literal 1/2 binary64)) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -2 t)) |
(fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) |
(+ 1 (* -2 t)) |
(fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) |
(+ 1 (* -2 t)) |
(fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) |
(* -2 t) |
(*.f64 t #s(literal -2 binary64)) |
(* t (- (/ 1 t) 2)) |
(fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) |
(* t (- (/ 1 t) 2)) |
(fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) |
(* t (- (/ 1 t) 2)) |
(fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) |
(* -2 t) |
(*.f64 t #s(literal -2 binary64)) |
(* -1 (* t (- 2 (/ 1 t)))) |
(fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) |
(* -1 (* t (- 2 (/ 1 t)))) |
(fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) |
(* -1 (* t (- 2 (/ 1 t)))) |
(fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) |
1/27 |
#s(literal 1/27 binary64) |
(+ 1/27 (* -2/9 t)) |
(fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) |
(+ 1/27 (* -2/9 t)) |
(fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) |
(+ 1/27 (* -2/9 t)) |
(fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) |
(* -2/9 t) |
(*.f64 t #s(literal -2/9 binary64)) |
(* t (- (* 1/27 (/ 1 t)) 2/9)) |
(fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) |
(* t (- (* 1/27 (/ 1 t)) 2/9)) |
(fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) |
(* t (- (* 1/27 (/ 1 t)) 2/9)) |
(fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) |
(* -2/9 t) |
(*.f64 t #s(literal -2/9 binary64)) |
(* -1 (* t (- 2/9 (* 1/27 (/ 1 t))))) |
(fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) |
(* -1 (* t (- 2/9 (* 1/27 (/ 1 t))))) |
(fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) |
(* -1 (* t (- 2/9 (* 1/27 (/ 1 t))))) |
(fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) |
4/81 |
#s(literal 4/81 binary64) |
(+ 4/81 (* 1/27 t)) |
(fma.f64 t #s(literal 1/27 binary64) #s(literal 4/81 binary64)) |
(+ 4/81 (* t (+ 1/27 (* -2/9 t)))) |
(fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) |
(+ 4/81 (* t (+ 1/27 (* -2/9 t)))) |
(fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) |
(* -2/9 (pow t 2)) |
(*.f64 (*.f64 t t) #s(literal -2/9 binary64)) |
(* (pow t 2) (- (* 1/27 (/ 1 t)) 2/9)) |
(*.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64))) |
(* (pow t 2) (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9)) |
(fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) |
(* (pow t 2) (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9)) |
(fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) |
(* -2/9 (pow t 2)) |
(*.f64 (*.f64 t t) #s(literal -2/9 binary64)) |
(* (pow t 2) (- (* 1/27 (/ 1 t)) 2/9)) |
(*.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64))) |
(* (pow t 2) (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9)) |
(fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) |
(* (pow t 2) (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9)) |
(fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) |
(/ -1/27 t) |
(/.f64 #s(literal -1/27 binary64) t) |
(/ -1/27 t) |
(/.f64 #s(literal -1/27 binary64) t) |
(/ -1/27 t) |
(/.f64 #s(literal -1/27 binary64) t) |
(/ -1/27 t) |
(/.f64 #s(literal -1/27 binary64) t) |
(/ -1/27 t) |
(/.f64 #s(literal -1/27 binary64) t) |
(/ -1/27 t) |
(/.f64 #s(literal -1/27 binary64) t) |
(/ -1/27 t) |
(/.f64 #s(literal -1/27 binary64) t) |
(/ -1/27 t) |
(/.f64 #s(literal -1/27 binary64) t) |
(/ -1/27 t) |
(/.f64 #s(literal -1/27 binary64) t) |
(/ -1/27 t) |
(/.f64 #s(literal -1/27 binary64) t) |
(/ -1/27 t) |
(/.f64 #s(literal -1/27 binary64) t) |
(/ -1/27 t) |
(/.f64 #s(literal -1/27 binary64) t) |
| 1× | batch-egg-rewrite |
| 5 138× | lower-*.f32 |
| 5 134× | lower-*.f64 |
| 3 932× | lower-/.f32 |
| 3 926× | lower-/.f64 |
| 2 688× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 289 |
| 0 | 60 | 241 |
| 1 | 333 | 241 |
| 2 | 2807 | 241 |
| 0 | 8562 | 241 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 #s(literal 5/6 binary64) #s(approx (/ (+ (/ (+ 1/27 (/ 4/81 t)) t) -2/9) t) (/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t)))))) |
(+.f64 #s(literal 5/6 binary64) #s(approx (/ (+ (/ (+ 1/27 (/ 4/81 t)) t) -2/9) t) (/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t))))) |
#s(approx (/ (+ (/ (+ 1/27 (/ 4/81 t)) t) -2/9) t) (/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t)))) |
(/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t))) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t))) |
(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t)) |
(/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t) |
(+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (fma.f64 t t #s(literal 1/2 binary64))) |
(fma.f64 t t #s(literal 1/2 binary64)) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (fma.f64 (*.f64 t t) (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 t t) (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 t t) |
(fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) |
(fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) |
(fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) |
(/.f64 #s(literal -1/27 binary64) t) |
| Outputs |
|---|
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 #s(literal 5/6 binary64) #s(approx (/ (+ (/ (+ 1/27 (/ 4/81 t)) t) -2/9) t) (/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t)))))) |
(+.f64 #s(literal 5/6 binary64) #s(approx (/ (+ (/ (+ 1/27 (/ 4/81 t)) t) -2/9) t) (/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t))))) |
(+.f64 #s(approx (/ (+ (/ (+ 1/27 (/ 4/81 t)) t) -2/9) t) (/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t)))) #s(literal 5/6 binary64)) |
(-.f64 (/.f64 #s(literal 25/36 binary64) (-.f64 #s(literal 5/6 binary64) #s(approx (/ (+ (/ (+ 1/27 (/ 4/81 t)) t) -2/9) t) (/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t)))))) (/.f64 (*.f64 #s(approx (/ (+ (/ (+ 1/27 (/ 4/81 t)) t) -2/9) t) (/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t)))) #s(approx (/ (+ (/ (+ 1/27 (/ 4/81 t)) t) -2/9) t) (/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t))))) (-.f64 #s(literal 5/6 binary64) #s(approx (/ (+ (/ (+ 1/27 (/ 4/81 t)) t) -2/9) t) (/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (/ (+ (/ (+ 1/27 (/ 4/81 t)) t) -2/9) t) (/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t)))) (-.f64 #s(approx (/ (+ (/ (+ 1/27 (/ 4/81 t)) t) -2/9) t) (/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t)))) #s(literal 5/6 binary64)) #s(literal 25/36 binary64)) (fma.f64 #s(approx (/ (+ (/ (+ 1/27 (/ 4/81 t)) t) -2/9) t) (/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t)))) (*.f64 #s(approx (/ (+ (/ (+ 1/27 (/ 4/81 t)) t) -2/9) t) (/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t)))) #s(approx (/ (+ (/ (+ 1/27 (/ 4/81 t)) t) -2/9) t) (/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t))))) #s(literal 125/216 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 5/6 binary64) #s(approx (/ (+ (/ (+ 1/27 (/ 4/81 t)) t) -2/9) t) (/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t))))) (-.f64 #s(literal 25/36 binary64) (*.f64 #s(approx (/ (+ (/ (+ 1/27 (/ 4/81 t)) t) -2/9) t) (/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t)))) #s(approx (/ (+ (/ (+ 1/27 (/ 4/81 t)) t) -2/9) t) (/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t)))))))) |
(/.f64 (fma.f64 #s(approx (/ (+ (/ (+ 1/27 (/ 4/81 t)) t) -2/9) t) (/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t)))) (*.f64 #s(approx (/ (+ (/ (+ 1/27 (/ 4/81 t)) t) -2/9) t) (/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t)))) #s(approx (/ (+ (/ (+ 1/27 (/ 4/81 t)) t) -2/9) t) (/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t))))) #s(literal 125/216 binary64)) (fma.f64 #s(approx (/ (+ (/ (+ 1/27 (/ 4/81 t)) t) -2/9) t) (/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t)))) (-.f64 #s(approx (/ (+ (/ (+ 1/27 (/ 4/81 t)) t) -2/9) t) (/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t)))) #s(literal 5/6 binary64)) #s(literal 25/36 binary64))) |
(/.f64 (fma.f64 #s(approx (/ (+ (/ (+ 1/27 (/ 4/81 t)) t) -2/9) t) (/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t)))) (*.f64 #s(approx (/ (+ (/ (+ 1/27 (/ 4/81 t)) t) -2/9) t) (/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t)))) #s(approx (/ (+ (/ (+ 1/27 (/ 4/81 t)) t) -2/9) t) (/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t))))) #s(literal 125/216 binary64)) (fma.f64 #s(approx (/ (+ (/ (+ 1/27 (/ 4/81 t)) t) -2/9) t) (/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t)))) #s(approx (/ (+ (/ (+ 1/27 (/ 4/81 t)) t) -2/9) t) (/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t)))) (-.f64 #s(literal 25/36 binary64) (*.f64 #s(literal 5/6 binary64) #s(approx (/ (+ (/ (+ 1/27 (/ 4/81 t)) t) -2/9) t) (/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t)))))))) |
(/.f64 (-.f64 #s(literal 25/36 binary64) (*.f64 #s(approx (/ (+ (/ (+ 1/27 (/ 4/81 t)) t) -2/9) t) (/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t)))) #s(approx (/ (+ (/ (+ 1/27 (/ 4/81 t)) t) -2/9) t) (/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t)))))) (-.f64 #s(literal 5/6 binary64) #s(approx (/ (+ (/ (+ 1/27 (/ 4/81 t)) t) -2/9) t) (/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t)))))) |
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(pow.f64 (/.f64 (fma.f64 t #s(literal -2/9 binary64) #s(literal -1/27 binary64)) (fma.f64 #s(literal 4/81 binary64) (*.f64 t t) #s(literal -1/729 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 t (*.f64 t t)) #s(literal -8/729 binary64) #s(literal 1/19683 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 4/81 binary64) (*.f64 t t) #s(literal 1/729 binary64)) (*.f64 t #s(literal -2/243 binary64))))) |
(*.f64 (fma.f64 #s(literal 4/81 binary64) (*.f64 t t) #s(literal -1/729 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 t #s(literal -2/9 binary64) #s(literal -1/27 binary64)))) |
(+.f64 #s(literal 4/81 binary64) (*.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)))) |
(+.f64 (*.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64))) #s(literal 4/81 binary64)) |
(+.f64 (*.f64 #s(literal -2/9 binary64) (*.f64 t t)) (fma.f64 t #s(literal 1/27 binary64) #s(literal 4/81 binary64))) |
(+.f64 (+.f64 #s(literal 4/81 binary64) (*.f64 #s(literal -2/9 binary64) (*.f64 t t))) (*.f64 t #s(literal 1/27 binary64))) |
(-.f64 (/.f64 (*.f64 (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) (*.f64 t (*.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64))))) (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal -4/81 binary64))) (/.f64 #s(literal 16/6561 binary64) (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal -4/81 binary64)))) |
(fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) |
(fma.f64 t (*.f64 t #s(literal -2/9 binary64)) (fma.f64 t #s(literal 1/27 binary64) #s(literal 4/81 binary64))) |
(fma.f64 #s(literal -2/9 binary64) (*.f64 t t) (fma.f64 t #s(literal 1/27 binary64) #s(literal 4/81 binary64))) |
(fma.f64 (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) t #s(literal 4/81 binary64)) |
(fma.f64 (*.f64 t t) #s(literal -2/9 binary64) (fma.f64 t #s(literal 1/27 binary64) #s(literal 4/81 binary64))) |
(fma.f64 (*.f64 t #s(literal -2/9 binary64)) t (fma.f64 t #s(literal 1/27 binary64) #s(literal 4/81 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64))) (*.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64))) #s(literal 16/6561 binary64)) (*.f64 t (*.f64 (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)))) (fma.f64 (*.f64 t (*.f64 t t)) (*.f64 (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) (*.f64 (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)))) #s(literal 64/531441 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal -4/81 binary64)) (fma.f64 (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) (*.f64 t (*.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)))) #s(literal -16/6561 binary64)))) |
(/.f64 (fma.f64 (*.f64 t (*.f64 t t)) (*.f64 (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) (*.f64 (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)))) #s(literal 64/531441 binary64)) (-.f64 (fma.f64 (*.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64))) (*.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64))) #s(literal 16/6561 binary64)) (*.f64 t (*.f64 (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64))))) |
(/.f64 (fma.f64 (*.f64 t (*.f64 t t)) (*.f64 (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) (*.f64 (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)))) #s(literal 64/531441 binary64)) (+.f64 #s(literal 16/6561 binary64) (-.f64 (*.f64 (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) (*.f64 t (*.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64))))) (*.f64 t (*.f64 (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)))))) |
(/.f64 (fma.f64 (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) (*.f64 t (*.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)))) #s(literal -16/6561 binary64)) (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal -4/81 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 t (*.f64 t t)) (*.f64 (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) (*.f64 (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)))) #s(literal 64/531441 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64))) (*.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64))) #s(literal 16/6561 binary64)) (*.f64 t (*.f64 (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) (*.f64 t (*.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)))) #s(literal -16/6561 binary64))) (neg.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal -4/81 binary64)))) |
(/.f64 (-.f64 #s(literal 16/6561 binary64) (*.f64 (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) (*.f64 t (*.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)))))) (-.f64 #s(literal 4/81 binary64) (*.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) (*.f64 t (*.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64))))) (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal -4/81 binary64))) (*.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal -4/81 binary64)) #s(literal 16/6561 binary64))) (*.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal -4/81 binary64)) (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal -4/81 binary64)))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64))) (*.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64))) #s(literal 16/6561 binary64)) (*.f64 t (*.f64 (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)))) (fma.f64 (*.f64 t (*.f64 t t)) (*.f64 (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) (*.f64 (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)))) #s(literal 64/531441 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal -4/81 binary64)) (fma.f64 (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) (*.f64 t (*.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)))) #s(literal -16/6561 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 t (*.f64 t t)) (*.f64 (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) (*.f64 (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)))) #s(literal 64/531441 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64))) (*.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64))) #s(literal 16/6561 binary64)) (*.f64 t (*.f64 (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)))))) |
(*.f64 (fma.f64 (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) (*.f64 t (*.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)))) #s(literal -16/6561 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal -4/81 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 t #s(literal -27 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal 1/27 binary64) t)) |
(/.f64 #s(literal 1 binary64) (*.f64 t #s(literal -27 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t #s(literal -27 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1/27 binary64) (neg.f64 t)) |
(/.f64 #s(literal -1/27 binary64) t) |
(/.f64 #s(literal -1/27 binary64) (neg.f64 (neg.f64 t))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 t #s(literal -27 binary64)))) |
(pow.f64 (*.f64 t #s(literal -27 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 t #s(literal -27 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/27 binary64) t)) |
(*.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -1/27 binary64)) |
(*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 t))) |
(*.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 1 binary64) t)) |
Compiled 9 333 to 922 computations (90.1% saved)
8 alts after pruning (1 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 485 | 1 | 486 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 4 | 4 |
| Total | 486 | 8 | 494 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 51.8% | (-.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))))) (fma.f64 (*.f64 t t) (fma.f64 #s(literal 2 binary64) t #s(literal -1 binary64)) #s(literal 1/2 binary64)))) |
| ✓ | 51.8% | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (fma.f64 (*.f64 t t) (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
| ✓ | 52.7% | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (fma.f64 t t #s(literal 1/2 binary64))) |
| ▶ | 51.6% | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (-.f64 #s(literal 5/6 binary64) #s(approx (/ (+ 2/9 (/ -1/27 t)) t) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))))) |
| ✓ | 50.9% | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))) |
| ✓ | 24.3% | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 #s(literal 5/6 binary64) #s(approx (/ (+ (/ (+ 1/27 (/ 4/81 t)) t) -2/9) t) (/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t)))))) |
| ✓ | 58.6% | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 5/6 binary64)) |
| ✓ | 59.9% | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 1/2 binary64)) |
Compiled 74 to 47 computations (36.5% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)) |
| ✓ | cost-diff | 0 | #s(approx (/ (+ 2/9 (/ -1/27 t)) t) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 5/6 binary64) #s(approx (/ (+ 2/9 (/ -1/27 t)) t) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)))) |
| ✓ | cost-diff | 0 | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (-.f64 #s(literal 5/6 binary64) #s(approx (/ (+ 2/9 (/ -1/27 t)) t) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))))) |
| 20 814× | lower-fma.f32 |
| 20 812× | lower-fma.f64 |
| 3 512× | lower-*.f32 |
| 3 510× | lower-*.f64 |
| 1 790× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 101 |
| 0 | 29 | 101 |
| 1 | 46 | 101 |
| 2 | 78 | 101 |
| 3 | 179 | 93 |
| 4 | 528 | 93 |
| 5 | 2088 | 91 |
| 6 | 5326 | 91 |
| 7 | 7940 | 91 |
| 0 | 8088 | 90 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (-.f64 #s(literal 5/6 binary64) #s(approx (/ (+ 2/9 (/ -1/27 t)) t) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))))) |
(-.f64 #s(literal 5/6 binary64) #s(approx (/ (+ 2/9 (/ -1/27 t)) t) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)))) |
#s(literal 5/6 binary64) |
#s(approx (/ (+ 2/9 (/ -1/27 t)) t) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))) |
(/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)) |
(fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) |
t |
#s(literal 2/9 binary64) |
#s(literal -1/27 binary64) |
(*.f64 t t) |
| Outputs |
|---|
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (-.f64 #s(literal 5/6 binary64) #s(approx (/ (+ 2/9 (/ -1/27 t)) t) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))))) |
(-.f64 #s(literal 5/6 binary64) #s(approx (/ (+ 2/9 (/ -1/27 t)) t) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)))) |
#s(literal 5/6 binary64) |
#s(approx (/ (+ 2/9 (/ -1/27 t)) t) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))) |
(/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)) |
(fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) |
t |
#s(literal 2/9 binary64) |
#s(literal -1/27 binary64) |
(*.f64 t t) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 5/6 binary64) #s(approx (/ (+ 2/9 (/ -1/27 t)) t) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)))) |
| ✓ | accuracy | 99.7% | (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) |
| ✓ | accuracy | 75.3% | (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)) |
| ✓ | accuracy | 51.6% | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (-.f64 #s(literal 5/6 binary64) #s(approx (/ (+ 2/9 (/ -1/27 t)) t) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))))) |
| 45.0ms | 256× | 0 | valid |
Compiled 68 to 25 computations (63.2% saved)
ival-div: 13.0ms (36.1% of total)const: 9.0ms (25% of total)ival-mult: 6.0ms (16.7% of total)ival-add: 5.0ms (13.9% of total)ival-sub: 4.0ms (11.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (-.f64 #s(literal 5/6 binary64) #s(approx (/ (+ 2/9 (/ -1/27 t)) t) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)))))> |
#<alt (-.f64 #s(literal 5/6 binary64) #s(approx (/ (+ 2/9 (/ -1/27 t)) t) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))))> |
#<alt #s(approx (/ (+ 2/9 (/ -1/27 t)) t) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)))> |
#<alt (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))> |
#<alt (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64))> |
| Outputs |
|---|
#<alt 1/2> |
#<alt (+ 1/2 (pow t 2))> |
#<alt (+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))> |
#<alt (+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2)))))> |
#<alt 5/6> |
#<alt (- 5/6 (* 2/9 (/ 1 t)))> |
#<alt (- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))> |
#<alt (- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t)))> |
#<alt 5/6> |
#<alt (- 5/6 (* 2/9 (/ 1 t)))> |
#<alt (+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))> |
#<alt (+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)))> |
#<alt (/ 1/27 (pow t 2))> |
#<alt (/ (+ 1/27 (* -2/9 t)) (pow t 2))> |
#<alt (/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2))> |
#<alt (/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2))> |
#<alt 5/6> |
#<alt (- 5/6 (* 2/9 (/ 1 t)))> |
#<alt (- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))> |
#<alt (- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))> |
#<alt 5/6> |
#<alt (- 5/6 (* 2/9 (/ 1 t)))> |
#<alt (+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))> |
#<alt (+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))> |
#<alt (/ -1/27 (pow t 2))> |
#<alt (/ (- (* 2/9 t) 1/27) (pow t 2))> |
#<alt (/ (- (* 2/9 t) 1/27) (pow t 2))> |
#<alt (/ (- (* 2/9 t) 1/27) (pow t 2))> |
#<alt (/ 2/9 t)> |
#<alt (/ (- 2/9 (* 1/27 (/ 1 t))) t)> |
#<alt (/ (- 2/9 (* 1/27 (/ 1 t))) t)> |
#<alt (/ (- 2/9 (* 1/27 (/ 1 t))) t)> |
#<alt (/ 2/9 t)> |
#<alt (* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t))> |
#<alt (* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t))> |
#<alt (* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t))> |
#<alt (/ -1/27 (pow t 2))> |
#<alt (/ (- (* 2/9 t) 1/27) (pow t 2))> |
#<alt (/ (- (* 2/9 t) 1/27) (pow t 2))> |
#<alt (/ (- (* 2/9 t) 1/27) (pow t 2))> |
#<alt (/ 2/9 t)> |
#<alt (/ (- 2/9 (* 1/27 (/ 1 t))) t)> |
#<alt (/ (- 2/9 (* 1/27 (/ 1 t))) t)> |
#<alt (/ (- 2/9 (* 1/27 (/ 1 t))) t)> |
#<alt (/ 2/9 t)> |
#<alt (* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t))> |
#<alt (* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t))> |
#<alt (* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t))> |
#<alt -1/27> |
#<alt (- (* 2/9 t) 1/27)> |
#<alt (- (* 2/9 t) 1/27)> |
#<alt (- (* 2/9 t) 1/27)> |
#<alt (* 2/9 t)> |
#<alt (* t (- 2/9 (* 1/27 (/ 1 t))))> |
#<alt (* t (- 2/9 (* 1/27 (/ 1 t))))> |
#<alt (* t (- 2/9 (* 1/27 (/ 1 t))))> |
#<alt (* 2/9 t)> |
#<alt (* -1 (* t (- (* 1/27 (/ 1 t)) 2/9)))> |
#<alt (* -1 (* t (- (* 1/27 (/ 1 t)) 2/9)))> |
#<alt (* -1 (* t (- (* 1/27 (/ 1 t)) 2/9)))> |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | t | @ | -inf | (/ (+ (* t 2/9) -1/27) (* t t)) |
| 0.0ms | t | @ | 0 | (/ (+ (* t 2/9) -1/27) (* t t)) |
| 0.0ms | t | @ | inf | (/ (+ (* t 2/9) -1/27) (* t t)) |
| 0.0ms | t | @ | -inf | (+ (* t 2/9) -1/27) |
| 0.0ms | t | @ | 0 | (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) |
| 1× | egg-herbie |
| 7 138× | lower-fma.f64 |
| 7 138× | lower-fma.f32 |
| 2 778× | lower-*.f64 |
| 2 778× | lower-*.f32 |
| 1 592× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 430 |
| 1 | 168 | 414 |
| 2 | 386 | 378 |
| 3 | 845 | 376 |
| 4 | 1787 | 372 |
| 5 | 3414 | 372 |
| 6 | 5657 | 372 |
| 0 | 8084 | 354 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+ 1/2 (pow t 2)) |
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t)))) |
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2))))) |
5/6 |
(- 5/6 (* 2/9 (/ 1 t))) |
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t))) |
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t))) |
5/6 |
(- 5/6 (* 2/9 (/ 1 t))) |
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))) |
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t))) |
(/ 1/27 (pow t 2)) |
(/ (+ 1/27 (* -2/9 t)) (pow t 2)) |
(/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2)) |
(/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2)) |
5/6 |
(- 5/6 (* 2/9 (/ 1 t))) |
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t))) |
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t))) |
5/6 |
(- 5/6 (* 2/9 (/ 1 t))) |
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))) |
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))) |
(/ -1/27 (pow t 2)) |
(/ (- (* 2/9 t) 1/27) (pow t 2)) |
(/ (- (* 2/9 t) 1/27) (pow t 2)) |
(/ (- (* 2/9 t) 1/27) (pow t 2)) |
(/ 2/9 t) |
(/ (- 2/9 (* 1/27 (/ 1 t))) t) |
(/ (- 2/9 (* 1/27 (/ 1 t))) t) |
(/ (- 2/9 (* 1/27 (/ 1 t))) t) |
(/ 2/9 t) |
(* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t)) |
(* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t)) |
(* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t)) |
(/ -1/27 (pow t 2)) |
(/ (- (* 2/9 t) 1/27) (pow t 2)) |
(/ (- (* 2/9 t) 1/27) (pow t 2)) |
(/ (- (* 2/9 t) 1/27) (pow t 2)) |
(/ 2/9 t) |
(/ (- 2/9 (* 1/27 (/ 1 t))) t) |
(/ (- 2/9 (* 1/27 (/ 1 t))) t) |
(/ (- 2/9 (* 1/27 (/ 1 t))) t) |
(/ 2/9 t) |
(* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t)) |
(* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t)) |
(* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t)) |
-1/27 |
(- (* 2/9 t) 1/27) |
(- (* 2/9 t) 1/27) |
(- (* 2/9 t) 1/27) |
(* 2/9 t) |
(* t (- 2/9 (* 1/27 (/ 1 t)))) |
(* t (- 2/9 (* 1/27 (/ 1 t)))) |
(* t (- 2/9 (* 1/27 (/ 1 t)))) |
(* 2/9 t) |
(* -1 (* t (- (* 1/27 (/ 1 t)) 2/9))) |
(* -1 (* t (- (* 1/27 (/ 1 t)) 2/9))) |
(* -1 (* t (- (* 1/27 (/ 1 t)) 2/9))) |
| Outputs |
|---|
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (pow t 2)) |
(fma.f64 t t #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t)))) |
(fma.f64 t (fma.f64 t (*.f64 t #s(literal -2 binary64)) t) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2))))) |
(fma.f64 t (fma.f64 (*.f64 t t) (+.f64 t #s(literal -2 binary64)) t) #s(literal 1/2 binary64)) |
5/6 |
#s(literal 5/6 binary64) |
(- 5/6 (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) |
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t))) |
(-.f64 #s(literal 5/6 binary64) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))) |
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 (fma.f64 t #s(literal -2/9 binary64) (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t))) (*.f64 t t))) |
5/6 |
#s(literal 5/6 binary64) |
(- 5/6 (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) |
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))) |
(-.f64 #s(literal 5/6 binary64) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))) |
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 (fma.f64 t #s(literal -2/9 binary64) (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t))) (*.f64 t t))) |
(/ 1/27 (pow t 2)) |
(/.f64 #s(literal 1/27 binary64) (*.f64 t t)) |
(/ (+ 1/27 (* -2/9 t)) (pow t 2)) |
(/.f64 (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) (*.f64 t t)) |
(/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2)) |
(/.f64 (fma.f64 t (fma.f64 t #s(literal 5/6 binary64) #s(literal -2/9 binary64)) #s(literal 1/27 binary64)) (*.f64 t t)) |
(/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2)) |
(/.f64 (fma.f64 t (fma.f64 t #s(literal 5/6 binary64) #s(literal -2/9 binary64)) #s(literal 1/27 binary64)) (*.f64 t t)) |
5/6 |
#s(literal 5/6 binary64) |
(- 5/6 (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) |
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t))) |
(-.f64 #s(literal 5/6 binary64) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))) |
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t))) |
(-.f64 #s(literal 5/6 binary64) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))) |
5/6 |
#s(literal 5/6 binary64) |
(- 5/6 (* 2/9 (/ 1 t))) |
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) |
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))) |
(-.f64 #s(literal 5/6 binary64) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))) |
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))) |
(-.f64 #s(literal 5/6 binary64) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))) |
(/ -1/27 (pow t 2)) |
(/.f64 #s(literal -1/27 binary64) (*.f64 t t)) |
(/ (- (* 2/9 t) 1/27) (pow t 2)) |
(/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)) |
(/ (- (* 2/9 t) 1/27) (pow t 2)) |
(/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)) |
(/ (- (* 2/9 t) 1/27) (pow t 2)) |
(/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)) |
(/ 2/9 t) |
(/.f64 #s(literal 2/9 binary64) t) |
(/ (- 2/9 (* 1/27 (/ 1 t))) t) |
(/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)) |
(/ (- 2/9 (* 1/27 (/ 1 t))) t) |
(/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)) |
(/ (- 2/9 (* 1/27 (/ 1 t))) t) |
(/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)) |
(/ 2/9 t) |
(/.f64 #s(literal 2/9 binary64) t) |
(* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t)) |
(/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)) |
(* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t)) |
(/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)) |
(* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t)) |
(/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)) |
(/ -1/27 (pow t 2)) |
(/.f64 #s(literal -1/27 binary64) (*.f64 t t)) |
(/ (- (* 2/9 t) 1/27) (pow t 2)) |
(/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)) |
(/ (- (* 2/9 t) 1/27) (pow t 2)) |
(/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)) |
(/ (- (* 2/9 t) 1/27) (pow t 2)) |
(/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)) |
(/ 2/9 t) |
(/.f64 #s(literal 2/9 binary64) t) |
(/ (- 2/9 (* 1/27 (/ 1 t))) t) |
(/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)) |
(/ (- 2/9 (* 1/27 (/ 1 t))) t) |
(/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)) |
(/ (- 2/9 (* 1/27 (/ 1 t))) t) |
(/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)) |
(/ 2/9 t) |
(/.f64 #s(literal 2/9 binary64) t) |
(* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t)) |
(/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)) |
(* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t)) |
(/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)) |
(* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t)) |
(/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)) |
-1/27 |
#s(literal -1/27 binary64) |
(- (* 2/9 t) 1/27) |
(fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) |
(- (* 2/9 t) 1/27) |
(fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) |
(- (* 2/9 t) 1/27) |
(fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) |
(* 2/9 t) |
(*.f64 t #s(literal 2/9 binary64)) |
(* t (- 2/9 (* 1/27 (/ 1 t)))) |
(fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) |
(* t (- 2/9 (* 1/27 (/ 1 t)))) |
(fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) |
(* t (- 2/9 (* 1/27 (/ 1 t)))) |
(fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) |
(* 2/9 t) |
(*.f64 t #s(literal 2/9 binary64)) |
(* -1 (* t (- (* 1/27 (/ 1 t)) 2/9))) |
(fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) |
(* -1 (* t (- (* 1/27 (/ 1 t)) 2/9))) |
(fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) |
(* -1 (* t (- (* 1/27 (/ 1 t)) 2/9))) |
(fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) |
| 1× | batch-egg-rewrite |
| 5 122× | lower-/.f32 |
| 5 120× | lower-/.f64 |
| 3 714× | lower-*.f32 |
| 3 712× | lower-*.f64 |
| 3 156× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 94 |
| 0 | 29 | 84 |
| 1 | 182 | 84 |
| 2 | 1468 | 84 |
| 0 | 8144 | 84 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (-.f64 #s(literal 5/6 binary64) #s(approx (/ (+ 2/9 (/ -1/27 t)) t) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))))) |
(-.f64 #s(literal 5/6 binary64) #s(approx (/ (+ 2/9 (/ -1/27 t)) t) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)))) |
#s(approx (/ (+ 2/9 (/ -1/27 t)) t) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))) |
(/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)) |
(fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) |
| Outputs |
|---|
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (-.f64 #s(literal 5/6 binary64) #s(approx (/ (+ 2/9 (/ -1/27 t)) t) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))))) |
(+.f64 #s(literal 5/6 binary64) (neg.f64 #s(approx (/ (+ 2/9 (/ -1/27 t)) t) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))))) |
(+.f64 (neg.f64 #s(approx (/ (+ 2/9 (/ -1/27 t)) t) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)))) #s(literal 5/6 binary64)) |
(-.f64 #s(literal 5/6 binary64) #s(approx (/ (+ 2/9 (/ -1/27 t)) t) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)))) |
(-.f64 (/.f64 #s(literal 125/216 binary64) (fma.f64 #s(approx (/ (+ 2/9 (/ -1/27 t)) t) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))) (+.f64 #s(literal 5/6 binary64) #s(approx (/ (+ 2/9 (/ -1/27 t)) t) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)))) #s(literal 25/36 binary64))) (/.f64 (*.f64 #s(approx (/ (+ 2/9 (/ -1/27 t)) t) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))) (*.f64 #s(approx (/ (+ 2/9 (/ -1/27 t)) t) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))) #s(approx (/ (+ 2/9 (/ -1/27 t)) t) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))))) (fma.f64 #s(approx (/ (+ 2/9 (/ -1/27 t)) t) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))) (+.f64 #s(literal 5/6 binary64) #s(approx (/ (+ 2/9 (/ -1/27 t)) t) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)))) #s(literal 25/36 binary64)))) |
(-.f64 (/.f64 #s(literal 25/36 binary64) (+.f64 #s(literal 5/6 binary64) #s(approx (/ (+ 2/9 (/ -1/27 t)) t) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))))) (/.f64 (*.f64 #s(approx (/ (+ 2/9 (/ -1/27 t)) t) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))) #s(approx (/ (+ 2/9 (/ -1/27 t)) t) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)))) (+.f64 #s(literal 5/6 binary64) #s(approx (/ (+ 2/9 (/ -1/27 t)) t) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)))))) |
(-.f64 (/.f64 #s(literal 25/36 binary64) (-.f64 #s(literal 5/6 binary64) (neg.f64 #s(approx (/ (+ 2/9 (/ -1/27 t)) t) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)))))) (/.f64 (*.f64 #s(approx (/ (+ 2/9 (/ -1/27 t)) t) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))) #s(approx (/ (+ 2/9 (/ -1/27 t)) t) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)))) (-.f64 #s(literal 5/6 binary64) (neg.f64 #s(approx (/ (+ 2/9 (/ -1/27 t)) t) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))))))) |
(fma.f64 #s(literal -1 binary64) #s(approx (/ (+ 2/9 (/ -1/27 t)) t) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))) #s(literal 5/6 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 5/6 binary64) #s(approx (/ (+ 2/9 (/ -1/27 t)) t) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 5/6 binary64) #s(approx (/ (+ 2/9 (/ -1/27 t)) t) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 25/36 binary64) (-.f64 (*.f64 #s(approx (/ (+ 2/9 (/ -1/27 t)) t) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))) #s(approx (/ (+ 2/9 (/ -1/27 t)) t) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)))) (*.f64 #s(literal 5/6 binary64) (neg.f64 #s(approx (/ (+ 2/9 (/ -1/27 t)) t) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))))))) (-.f64 #s(literal 125/216 binary64) (*.f64 #s(approx (/ (+ 2/9 (/ -1/27 t)) t) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))) (*.f64 #s(approx (/ (+ 2/9 (/ -1/27 t)) t) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))) #s(approx (/ (+ 2/9 (/ -1/27 t)) t) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)))))))) |
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(*.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 4/81 binary64) #s(literal -1/729 binary64)) t) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t #s(literal 2/9 binary64) #s(literal 1/27 binary64))) t)) |
(+.f64 #s(literal -1/27 binary64) (*.f64 t #s(literal 2/9 binary64))) |
(+.f64 (*.f64 t #s(literal 2/9 binary64)) #s(literal -1/27 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal 4/81 binary64)) (fma.f64 t #s(literal 2/9 binary64) #s(literal 1/27 binary64))) (/.f64 #s(literal 1/729 binary64) (fma.f64 t #s(literal 2/9 binary64) #s(literal 1/27 binary64)))) |
(-.f64 (/.f64 #s(literal 1/729 binary64) (-.f64 #s(literal -1/27 binary64) (*.f64 t #s(literal 2/9 binary64)))) (/.f64 (*.f64 (*.f64 t t) #s(literal 4/81 binary64)) (-.f64 #s(literal -1/27 binary64) (*.f64 t #s(literal 2/9 binary64))))) |
(fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) |
(fma.f64 #s(literal 2/9 binary64) t #s(literal -1/27 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/729 binary64) (-.f64 (*.f64 (*.f64 t t) #s(literal 4/81 binary64)) (*.f64 t #s(literal -2/243 binary64)))) (fma.f64 #s(literal 8/729 binary64) (*.f64 t (*.f64 t t)) #s(literal -1/19683 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/27 binary64) (*.f64 t #s(literal 2/9 binary64))) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 t t) #s(literal 4/81 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64))))) |
(/.f64 (fma.f64 #s(literal 8/729 binary64) (*.f64 t (*.f64 t t)) #s(literal -1/19683 binary64)) (-.f64 (fma.f64 (*.f64 t t) #s(literal 4/81 binary64) #s(literal 1/729 binary64)) (*.f64 t #s(literal -2/243 binary64)))) |
(/.f64 (fma.f64 #s(literal 8/729 binary64) (*.f64 t (*.f64 t t)) #s(literal -1/19683 binary64)) (+.f64 #s(literal 1/729 binary64) (-.f64 (*.f64 (*.f64 t t) #s(literal 4/81 binary64)) (*.f64 t #s(literal -2/243 binary64))))) |
(/.f64 (fma.f64 (*.f64 t t) #s(literal 4/81 binary64) #s(literal -1/729 binary64)) (fma.f64 t #s(literal 2/9 binary64) #s(literal 1/27 binary64))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 8/729 binary64) (*.f64 t (*.f64 t t)) #s(literal -1/19683 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 t t) #s(literal 4/81 binary64) #s(literal 1/729 binary64)) (*.f64 t #s(literal -2/243 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 8/729 binary64) (*.f64 t (*.f64 t t)) #s(literal -1/19683 binary64))) (neg.f64 (+.f64 #s(literal 1/729 binary64) (-.f64 (*.f64 (*.f64 t t) #s(literal 4/81 binary64)) (*.f64 t #s(literal -2/243 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 4/81 binary64) #s(literal -1/729 binary64))) (neg.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal 1/27 binary64)))) |
(/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 t t) #s(literal 4/81 binary64))) (-.f64 #s(literal -1/27 binary64) (*.f64 t #s(literal 2/9 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 t t) #s(literal 4/81 binary64)) (fma.f64 t #s(literal 2/9 binary64) #s(literal 1/27 binary64))) (*.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal 1/27 binary64)) #s(literal 1/729 binary64))) (*.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal 1/27 binary64)) (fma.f64 t #s(literal 2/9 binary64) #s(literal 1/27 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8/729 binary64) (*.f64 t (*.f64 t t)) #s(literal -1/19683 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 t t) #s(literal 4/81 binary64) #s(literal 1/729 binary64)) (*.f64 t #s(literal -2/243 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 4/81 binary64) #s(literal -1/729 binary64)))) (neg.f64 (neg.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal 1/27 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 t t) #s(literal 4/81 binary64)))) (neg.f64 (-.f64 #s(literal -1/27 binary64) (*.f64 t #s(literal 2/9 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal 4/81 binary64)) (fma.f64 t #s(literal 2/9 binary64) #s(literal 1/27 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 t #s(literal 2/9 binary64) #s(literal 1/27 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal 4/81 binary64)) (fma.f64 t #s(literal 2/9 binary64) #s(literal 1/27 binary64))) (/.f64 (*.f64 (*.f64 t t) #s(literal 4/81 binary64)) (fma.f64 t #s(literal 2/9 binary64) #s(literal 1/27 binary64))) (fma.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 t #s(literal 2/9 binary64) #s(literal 1/27 binary64))) (/.f64 #s(literal 1/729 binary64) (fma.f64 t #s(literal 2/9 binary64) #s(literal 1/27 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal 4/81 binary64)) (fma.f64 t #s(literal 2/9 binary64) #s(literal 1/27 binary64))) (/.f64 #s(literal 1/729 binary64) (fma.f64 t #s(literal 2/9 binary64) #s(literal 1/27 binary64))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 #s(literal 8/729 binary64) (*.f64 t (*.f64 t t)) #s(literal -1/19683 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 t t) #s(literal 4/81 binary64) #s(literal 1/729 binary64)) (*.f64 t #s(literal -2/243 binary64))))) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 4/81 binary64) #s(literal -1/729 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 t #s(literal 2/9 binary64) #s(literal 1/27 binary64)))) |
Compiled 4 046 to 417 computations (89.7% saved)
8 alts after pruning (0 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 168 | 0 | 168 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 7 | 7 |
| Total | 168 | 8 | 176 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 51.8% | (-.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))))) (fma.f64 (*.f64 t t) (fma.f64 #s(literal 2 binary64) t #s(literal -1 binary64)) #s(literal 1/2 binary64)))) |
| ✓ | 51.8% | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (fma.f64 (*.f64 t t) (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
| ✓ | 52.7% | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (fma.f64 t t #s(literal 1/2 binary64))) |
| ✓ | 51.6% | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (-.f64 #s(literal 5/6 binary64) #s(approx (/ (+ 2/9 (/ -1/27 t)) t) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))))) |
| ✓ | 50.9% | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))) |
| ✓ | 24.3% | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 #s(literal 5/6 binary64) #s(approx (/ (+ (/ (+ 1/27 (/ 4/81 t)) t) -2/9) t) (/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t)))))) |
| ✓ | 58.6% | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 5/6 binary64)) |
| ✓ | 59.9% | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 1/2 binary64)) |
Compiled 214 to 101 computations (52.8% saved)
| Inputs |
|---|
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 1/2 binary64)) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 5/6 binary64)) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (fma.f64 t t #s(literal 1/2 binary64))) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (fma.f64 t (fma.f64 #s(literal -2 binary64) (*.f64 t t) t) #s(literal 1/2 binary64))) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (fma.f64 (*.f64 t t) (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))))) (fma.f64 (*.f64 t t) (fma.f64 #s(literal 2 binary64) t #s(literal -1 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (-.f64 #s(literal 5/6 binary64) #s(approx (/ (+ 2/9 (/ -1/27 t)) t) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))))) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t))) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 #s(literal 5/6 binary64) #s(approx (/ (+ (/ (+ 1/27 (/ 4/81 t)) t) -2/9) t) (/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t)))))) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)) t))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))))) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))))) |
7 calls:
| 31.0ms | t |
| 12.0ms | (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) |
| 3.0ms | (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) |
| 3.0ms | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))))) |
| 3.0ms | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | t |
| 100.0% | 1 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))))) |
| 100.0% | 1 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))) |
| 100.0% | 1 | (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))) |
| 100.0% | 1 | (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))) |
| 100.0% | 1 | (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) |
| 100.0% | 1 | (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) |
Compiled 132 to 58 computations (56.1% saved)
| Inputs |
|---|
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 1/2 binary64)) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 5/6 binary64)) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (fma.f64 t t #s(literal 1/2 binary64))) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (fma.f64 t (fma.f64 #s(literal -2 binary64) (*.f64 t t) t) #s(literal 1/2 binary64))) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (fma.f64 (*.f64 t t) (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))))) (fma.f64 (*.f64 t t) (fma.f64 #s(literal 2 binary64) t #s(literal -1 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (-.f64 #s(literal 5/6 binary64) #s(approx (/ (+ 2/9 (/ -1/27 t)) t) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))))) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t))) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 #s(literal 5/6 binary64) #s(approx (/ (+ (/ (+ 1/27 (/ 4/81 t)) t) -2/9) t) (/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t)))))) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)) t))) |
| Outputs |
|---|
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)) t))) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (fma.f64 t (fma.f64 #s(literal -2 binary64) (*.f64 t t) t) #s(literal 1/2 binary64))) |
7 calls:
| 73.0ms | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))))) |
| 4.0ms | t |
| 4.0ms | (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) |
| 3.0ms | (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))) |
| 3.0ms | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 3 | t |
| 100.0% | 2 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))))) |
| 100.0% | 2 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))) |
| 100.0% | 2 | (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))) |
| 100.0% | 2 | (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))) |
| 100.0% | 2 | (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) |
| 100.0% | 2 | (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) |
Compiled 132 to 58 computations (56.1% saved)
| Inputs |
|---|
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 1/2 binary64)) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 5/6 binary64)) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (fma.f64 t t #s(literal 1/2 binary64))) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (fma.f64 t (fma.f64 #s(literal -2 binary64) (*.f64 t t) t) #s(literal 1/2 binary64))) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (fma.f64 (*.f64 t t) (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))))) (fma.f64 (*.f64 t t) (fma.f64 #s(literal 2 binary64) t #s(literal -1 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (-.f64 #s(literal 5/6 binary64) #s(approx (/ (+ 2/9 (/ -1/27 t)) t) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))))) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t))) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 #s(literal 5/6 binary64) #s(approx (/ (+ (/ (+ 1/27 (/ 4/81 t)) t) -2/9) t) (/.f64 (fma.f64 t (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) #s(literal 4/81 binary64)) (*.f64 t (*.f64 t t)))))) |
| Outputs |
|---|
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (-.f64 #s(literal 5/6 binary64) #s(approx (/ (+ 2/9 (/ -1/27 t)) t) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))))) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (fma.f64 t (fma.f64 #s(literal -2 binary64) (*.f64 t t) t) #s(literal 1/2 binary64))) |
6 calls:
| 3.0ms | (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) |
| 3.0ms | (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) |
| 3.0ms | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))) |
| 3.0ms | (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))) |
| 3.0ms | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 2 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))))) |
| 99.9% | 2 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))) |
| 99.9% | 2 | (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))) |
| 99.9% | 2 | (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))) |
| 99.9% | 2 | (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) |
| 99.9% | 2 | (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) |
Compiled 130 to 57 computations (56.2% saved)
| Inputs |
|---|
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 1/2 binary64)) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 5/6 binary64)) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (fma.f64 t t #s(literal 1/2 binary64))) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (fma.f64 t (fma.f64 #s(literal -2 binary64) (*.f64 t t) t) #s(literal 1/2 binary64))) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (fma.f64 (*.f64 t t) (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))))) (fma.f64 (*.f64 t t) (fma.f64 #s(literal 2 binary64) t #s(literal -1 binary64)) #s(literal 1/2 binary64)))) |
| Outputs |
|---|
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (fma.f64 t (fma.f64 #s(literal -2 binary64) (*.f64 t t) t) #s(literal 1/2 binary64))) |
6 calls:
| 3.0ms | (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) |
| 2.0ms | (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))) |
| 2.0ms | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))))) |
| 2.0ms | (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) |
| 2.0ms | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 2 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))))) |
| 99.8% | 2 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))) |
| 99.8% | 2 | (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))) |
| 99.8% | 2 | (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))) |
| 99.8% | 2 | (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) |
| 99.8% | 2 | (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) |
Compiled 130 to 57 computations (56.2% saved)
| Inputs |
|---|
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 1/2 binary64)) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 5/6 binary64)) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (fma.f64 t t #s(literal 1/2 binary64))) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))) |
| Outputs |
|---|
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (fma.f64 t t #s(literal 1/2 binary64))) |
6 calls:
| 2.0ms | (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) |
| 2.0ms | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))))) |
| 2.0ms | (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) |
| 2.0ms | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))) |
| 2.0ms | (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 2 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))))) |
| 99.7% | 2 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))) |
| 99.7% | 2 | (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))) |
| 99.7% | 2 | (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))) |
| 99.7% | 2 | (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) |
| 99.7% | 2 | (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) |
Compiled 130 to 57 computations (56.2% saved)
| Inputs |
|---|
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 1/2 binary64)) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 5/6 binary64)) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (fma.f64 t t #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 5/6 binary64)) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (fma.f64 t t #s(literal 1/2 binary64))) |
6 calls:
| 54.0ms | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))) |
| 2.0ms | (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) |
| 1.0ms | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))))) |
| 1.0ms | (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) |
| 1.0ms | (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 2 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))))) |
| 99.3% | 2 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))) |
| 99.3% | 2 | (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))) |
| 99.3% | 2 | (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))) |
| 99.3% | 2 | (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) |
| 99.3% | 2 | (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) |
Compiled 130 to 57 computations (56.2% saved)
| Inputs |
|---|
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 1/2 binary64)) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 5/6 binary64)) |
| Outputs |
|---|
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 5/6 binary64)) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 1/2 binary64)) |
6 calls:
| 1.0ms | (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) |
| 1.0ms | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))))) |
| 1.0ms | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))) |
| 1.0ms | (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) |
| 1.0ms | (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 2 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))))) |
| 98.8% | 2 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))) |
| 98.8% | 2 | (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))) |
| 98.8% | 2 | (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))) |
| 98.8% | 2 | (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) |
| 98.8% | 2 | (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) |
Compiled 130 to 57 computations (56.2% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 1/2 binary64)) |
| Outputs |
|---|
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 1/2 binary64)) |
7 calls:
| 1.0ms | (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) |
| 1.0ms | t |
| 1.0ms | (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) |
| 1.0ms | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))))) |
| 1.0ms | (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.9% | 1 | t |
| 59.9% | 1 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))) |
| 59.9% | 1 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))))) |
| 59.9% | 1 | (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))) |
| 59.9% | 1 | (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))) |
| 59.9% | 1 | (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) |
| 59.9% | 1 | (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) |
Compiled 132 to 58 computations (56.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.438071567720356e-7 | 1.9999996004321337 |
Compiled 25 to 18 computations (28% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.438071567720356e-7 | 1.9999996004321337 |
Compiled 25 to 18 computations (28% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.438071567720356e-7 | 1.9999996004321337 |
Compiled 25 to 18 computations (28% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.438071567720356e-7 | 1.9999996004321337 |
Compiled 25 to 18 computations (28% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.438071567720356e-7 | 1.9999996004321337 |
Compiled 25 to 18 computations (28% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 37.0ms | 4.438071567720356e-7 | 1.9999996004321337 |
| 32.0ms | 144× | 0 | valid |
Compiled 97 to 72 computations (25.8% saved)
ival-div: 1.0ms (23.9% of total)ival-sub: 1.0ms (23.9% of total)ival-add: 1.0ms (23.9% of total)ival-mult: 1.0ms (23.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 238× | unsub-neg_binary64 |
| 160× | neg-mul-1_binary64 |
| 124× | distribute-lft-neg-in_binary64 |
| 92× | distribute-neg-in_binary64 |
| 92× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 571 |
| 1 | 79 | 571 |
| 2 | 97 | 571 |
| 3 | 121 | 571 |
| 4 | 154 | 571 |
| 5 | 205 | 571 |
| 6 | 301 | 571 |
| 7 | 346 | 571 |
| 8 | 388 | 571 |
| 9 | 434 | 571 |
| 10 | 497 | 571 |
| 11 | 556 | 571 |
| 12 | 635 | 571 |
| 13 | 702 | 571 |
| 14 | 751 | 571 |
| 15 | 770 | 571 |
| 16 | 772 | 571 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))))) |
(if (<=.f64 (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)) t))) #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (fma.f64 t (fma.f64 #s(literal -2 binary64) (*.f64 t t) t) #s(literal 1/2 binary64)))) |
(if (<=.f64 (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (-.f64 #s(literal 5/6 binary64) #s(approx (/ (+ 2/9 (/ -1/27 t)) t) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))))) #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (fma.f64 t (fma.f64 #s(literal -2 binary64) (*.f64 t t) t) #s(literal 1/2 binary64)))) |
(if (<=.f64 (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))) #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (fma.f64 t (fma.f64 #s(literal -2 binary64) (*.f64 t t) t) #s(literal 1/2 binary64)))) |
(if (<=.f64 (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))) #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (fma.f64 t t #s(literal 1/2 binary64)))) |
(if (<=.f64 (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 5/6 binary64)) #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (fma.f64 t t #s(literal 1/2 binary64)))) |
(if (<=.f64 (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64)) #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 5/6 binary64)) #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 1/2 binary64))) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) t)))) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64))) #s(literal 2 binary64)))) |
(if (<=.f64 (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)) t))) #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (fma.f64 t (fma.f64 #s(literal -2 binary64) (*.f64 t t) t) #s(literal 1/2 binary64)))) |
(if (<=.f64 (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (-.f64 #s(literal 5/6 binary64) #s(approx (/ (+ 2/9 (/ -1/27 t)) t) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))))) #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (fma.f64 t (fma.f64 #s(literal -2 binary64) (*.f64 t t) t) #s(literal 1/2 binary64)))) |
(if (<=.f64 (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))) #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (fma.f64 t (fma.f64 #s(literal -2 binary64) (*.f64 t t) t) #s(literal 1/2 binary64)))) |
(if (<=.f64 (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))) #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (fma.f64 t t #s(literal 1/2 binary64)))) |
(if (<=.f64 (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 5/6 binary64)) #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (fma.f64 t t #s(literal 1/2 binary64)))) |
(if (<=.f64 (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64)) #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 5/6 binary64)) #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 1/2 binary64))) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 1/2 binary64)) |
| 14 122× | lower-fma.f64 |
| 14 122× | lower-fma.f32 |
| 10 478× | lower-fma.f64 |
| 10 478× | lower-fma.f32 |
| 9 332× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 110 | 1398 |
| 1 | 280 | 1350 |
| 2 | 771 | 1310 |
| 3 | 2158 | 1310 |
| 4 | 6205 | 1274 |
| 0 | 8145 | 1177 |
| 0 | 117 | 1263 |
| 1 | 299 | 1206 |
| 2 | 719 | 1202 |
| 3 | 1840 | 1186 |
| 4 | 4240 | 1162 |
| 5 | 6549 | 1162 |
| 0 | 8123 | 1104 |
| 0 | 165 | 626 |
| 1 | 491 | 594 |
| 2 | 1138 | 566 |
| 3 | 2703 | 554 |
| 4 | 6665 | 550 |
| 0 | 8113 | 519 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 252 to 95 computations (62.3% saved)
Compiled 436 to 122 computations (72% saved)
Loading profile data...