
Time bar (total: 7.2s)
| 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)
| 1.2s | 8 256× | 0 | valid |
ival-div: 330.0ms (32.8% of total)ival-mult: 286.0ms (28.4% of total)ival-sub: 268.0ms (26.6% of total)ival-add: 104.0ms (10.3% of total)exact: 8.0ms (0.8% of total)ival-true: 6.0ms (0.6% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 126 | 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 | 5 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 5 | 251 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 5 | 0 | 251 |
| number | freq |
|---|---|
| 0 | 251 |
| 1 | 5 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 1 | 0 | 0 |
| 40.0ms | 98× | 2 | valid |
| 40.0ms | 144× | 1 | valid |
| 33.0ms | 270× | 0 | valid |
Compiled 309 to 40 computations (87.1% saved)
ival-div: 34.0ms (40.8% of total)adjust: 13.0ms (15.6% of total)ival-sub: 12.0ms (14.4% of total)ival-mult: 12.0ms (14.4% of total)ival-add: 10.0ms (12% of total)ival-true: 1.0ms (1.2% of total)exact: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% 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 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal -4 binary64) (-.f64 #s(literal -1 binary64) t)) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (-.f64 t #s(literal -1 binary64)))) #s(literal 6 binary64))) #s(literal -1 binary64)) |
Compiled 29 to 12 computations (58.6% saved)
Compiled 0 to 1 computations (-∞% 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 29 to 12 computations (58.6% 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 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal -4 binary64) (-.f64 #s(literal -1 binary64) t)) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (-.f64 t #s(literal -1 binary64)))) #s(literal 6 binary64))) #s(literal -1 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 -4 binary64) (-.f64 #s(literal -1 binary64) t)) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (-.f64 t #s(literal -1 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 -4 binary64) (-.f64 #s(literal -1 binary64) t)) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (-.f64 t #s(literal -1 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 -4 binary64) (-.f64 #s(literal -1 binary64) t)) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (-.f64 t #s(literal -1 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 (/.f64 #s(literal -2 binary64) (-.f64 t #s(literal -1 binary64))) #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 -1 binary64) t)) |
(/.f64 #s(literal 2 binary64) t) |
t |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)) |
(-.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) t) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 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)))))) | |
| accuracy | 0 | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)) | |
| accuracy | 0.0078125 | (*.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 | 29.14028126336287 | (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) |
| 26.0ms | 49× | 2 | valid |
| 14.0ms | 72× | 1 | valid |
| 13.0ms | 135× | 0 | valid |
Compiled 140 to 14 computations (90% saved)
ival-div: 12.0ms (42% of total)adjust: 5.0ms (17.5% of total)ival-sub: 4.0ms (14% of total)ival-add: 4.0ms (14% of total)ival-mult: 4.0ms (14% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) (patch (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) #<representation binary64>) () ()) |
#s(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)))))) (patch (+.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)))))) #<representation binary64>) () ()) |
#s(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))))) (patch (*.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))))) #<representation binary64>) () ()) |
#s(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)))))))) (patch (-.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)))))))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (patch (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 2 (taylor 0 t) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) (patch (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* -2 t)) (taylor 0 t) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) (patch (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* t (- (* 2 t) 2))) (taylor 0 t) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) (patch (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* t (- (* t (+ 2 (* -2 t))) 2))) (taylor 0 t) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) (patch (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) #<representation binary64>) () ())) ()) |
#s(alt 2 (taylor 0 t) (#s(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)))))) (patch (+.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)))))) #<representation binary64>) () ())) ()) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | 0 | ((/ (/ 2 t) (+ 1 (/ 1 t))) (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))) (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))) (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (+ 1 (/ 1 t))) |
| 1.0ms | t | @ | inf | ((/ (/ 2 t) (+ 1 (/ 1 t))) (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))) (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))) (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (+ 1 (/ 1 t))) |
| 1.0ms | t | @ | -inf | ((/ (/ 2 t) (+ 1 (/ 1 t))) (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))) (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))) (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (+ 1 (/ 1 t))) |
| 1× | egg-herbie |
| 13 752× | lower-fma.f64 |
| 13 752× | lower-fma.f32 |
| 3 598× | lower-*.f64 |
| 3 598× | lower-*.f32 |
| 2 186× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 140 | 576 |
| 1 | 418 | 558 |
| 2 | 972 | 528 |
| 3 | 2233 | 516 |
| 4 | 6145 | 516 |
| 0 | 8585 | 489 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
2 |
(+ 2 (* -2 t)) |
(+ 2 (* t (- (* 2 t) 2))) |
(+ 2 (* t (- (* t (+ 2 (* -2 t))) 2))) |
2 |
(+ 2 (* 4 (pow t 2))) |
(+ 2 (* (pow t 2) (+ 4 (* -8 t)))) |
(+ 2 (* (pow t 2) (+ 4 (* t (- (* 12 t) 8))))) |
(* 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)))) |
1/2 |
(+ 1/2 (pow t 2)) |
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t)))) |
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2))))) |
(* 2 t) |
(* t (+ 2 (* -2 t))) |
(* t (+ 2 (* t (- (* 2 t) 2)))) |
(* t (+ 2 (* t (- (* t (+ 2 (* -2 t))) 2)))) |
(/ 1 t) |
(/ (+ 1 t) t) |
(/ (+ 1 t) t) |
(/ (+ 1 t) t) |
(/ 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) |
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))))) |
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))))) |
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))) |
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))))) |
1 |
(+ 1 (/ 1 t)) |
(+ 1 (/ 1 t)) |
(+ 1 (/ 1 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)) |
6 |
(- 6 (* 8 (/ 1 t))) |
(+ 6 (* -1 (/ (- 8 (* 12 (/ 1 t))) t))) |
(+ 6 (* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t))) |
4 |
(- 4 (* 8 (/ 1 t))) |
(+ 4 (* -1 (/ (- 8 (* 12 (/ 1 t))) t))) |
(+ 4 (* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) 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 |
(- 2 (* 2 (/ 1 t))) |
(+ 2 (* -1 (/ (- 2 (* 2 (/ 1 t))) t))) |
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 t))) t))) t))) |
1 |
(+ 1 (/ 1 t)) |
(+ 1 (/ 1 t)) |
(+ 1 (/ 1 t)) |
| Outputs |
|---|
2 |
#s(literal 2 binary64) |
(+ 2 (* -2 t)) |
(fma.f64 t #s(literal -2 binary64) #s(literal 2 binary64)) |
(+ 2 (* t (- (* 2 t) 2))) |
(fma.f64 (fma.f64 t #s(literal 2 binary64) #s(literal -2 binary64)) t #s(literal 2 binary64)) |
(+ 2 (* t (- (* t (+ 2 (* -2 t))) 2))) |
(*.f64 (fma.f64 t t #s(literal 1 binary64)) (fma.f64 t #s(literal -2 binary64) #s(literal 2 binary64))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 4 (pow t 2))) |
(fma.f64 (*.f64 t t) #s(literal 4 binary64) #s(literal 2 binary64)) |
(+ 2 (* (pow t 2) (+ 4 (* -8 t)))) |
(fma.f64 (fma.f64 #s(literal -8 binary64) t #s(literal 4 binary64)) (*.f64 t t) #s(literal 2 binary64)) |
(+ 2 (* (pow t 2) (+ 4 (* t (- (* 12 t) 8))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 12 binary64) t #s(literal -8 binary64)) t #s(literal 4 binary64)) (*.f64 t t) #s(literal 2 binary64)) |
(* 4 (pow t 2)) |
(*.f64 (*.f64 t t) #s(literal 4 binary64)) |
(* (pow t 2) (+ 4 (* -8 t))) |
(*.f64 (*.f64 (fma.f64 #s(literal -8 binary64) t #s(literal 4 binary64)) t) t) |
(* (pow t 2) (+ 4 (* t (- (* 12 t) 8)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 12 binary64) t #s(literal -8 binary64)) t #s(literal 4 binary64)) t) t) |
(* (pow t 2) (+ 4 (* t (- (* t (+ 12 (* -16 t))) 8)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -16 binary64) t #s(literal 12 binary64)) t #s(literal -8 binary64)) t #s(literal 4 binary64)) 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 (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2))))) |
(fma.f64 (fma.f64 (-.f64 t #s(literal 2 binary64)) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) |
(* 2 t) |
(*.f64 t #s(literal 2 binary64)) |
(* t (+ 2 (* -2 t))) |
(*.f64 (fma.f64 t #s(literal -2 binary64) #s(literal 2 binary64)) t) |
(* t (+ 2 (* t (- (* 2 t) 2)))) |
(*.f64 (fma.f64 (fma.f64 t #s(literal 2 binary64) #s(literal -2 binary64)) t #s(literal 2 binary64)) t) |
(* t (+ 2 (* t (- (* t (+ 2 (* -2 t))) 2)))) |
(*.f64 (*.f64 (fma.f64 t t #s(literal 1 binary64)) (fma.f64 t #s(literal -2 binary64) #s(literal 2 binary64))) t) |
(/ 1 t) |
(/.f64 #s(literal 1 binary64) t) |
(/ (+ 1 t) t) |
(/.f64 (+.f64 #s(literal 1 binary64) t) t) |
(/ (+ 1 t) t) |
(/.f64 (+.f64 #s(literal 1 binary64) t) t) |
(/ (+ 1 t) t) |
(/.f64 (+.f64 #s(literal 1 binary64) t) t) |
(/ 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 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 2 binary64)) t) #s(literal -2 binary64)) t) |
(/ (- (+ 2 (/ 2 (pow t 2))) (+ (* 2 (/ 1 t)) (* 2 (/ 1 (pow t 3))))) t) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) t)) t) #s(literal 2 binary64)) t) #s(literal -2 binary64)) t) |
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)) |
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)) |
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 (+.f64 (/.f64 #s(literal 4/81 binary64) (pow.f64 t #s(literal 3 binary64))) #s(literal 5/6 binary64)) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t)) |
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 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 2 binary64)) t) #s(literal -2 binary64)) |
(- (+ 2 (/ 2 (pow t 2))) (+ (* 2 (/ 1 t)) (* 2 (/ 1 (pow t 3))))) |
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) t)) t) #s(literal 2 binary64)) t) #s(literal -2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ 1 t)) |
(+.f64 (/.f64 #s(literal 1 binary64) t) #s(literal 1 binary64)) |
(+ 1 (/ 1 t)) |
(+.f64 (/.f64 #s(literal 1 binary64) t) #s(literal 1 binary64)) |
(+ 1 (/ 1 t)) |
(+.f64 (/.f64 #s(literal 1 binary64) t) #s(literal 1 binary64)) |
(/ 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 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 2 binary64)) t) #s(literal -2 binary64)) t) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 t)) 2) t)) 2) t)) 2) t)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) t)) t) #s(literal 2 binary64)) t) #s(literal -2 binary64)) 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 |
#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)) |
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 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t)) t)) |
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 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 2 binary64)) t) #s(literal -2 binary64)) |
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 t))) t))) t))) |
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) t)) t) #s(literal 2 binary64)) t) #s(literal -2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ 1 t)) |
(+.f64 (/.f64 #s(literal 1 binary64) t) #s(literal 1 binary64)) |
(+ 1 (/ 1 t)) |
(+.f64 (/.f64 #s(literal 1 binary64) t) #s(literal 1 binary64)) |
(+ 1 (/ 1 t)) |
(+.f64 (/.f64 #s(literal 1 binary64) t) #s(literal 1 binary64)) |
| 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 | 102 |
| 0 | 21 | 72 |
| 1 | 106 | 72 |
| 2 | 873 | 72 |
| 0 | 8816 | 67 |
| 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 1 binary64) t)) |
| Outputs |
|---|
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Compiled 28 603 to 3 332 computations (88.4% saved)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 703 | 6 | 709 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 703 | 7 | 710 |
| 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)))))))) |
| ▶ | 51.3% | #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))) |
| 51.5% | #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 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t)) t))) | |
| ▶ | 52.4% | #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))) |
| ▶ | 51.8% | #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))) |
| ▶ | 59.9% | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 5/6 binary64)) |
| ▶ | 59.2% | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 1/2 binary64)) |
Compiled 107 to 86 computations (19.6% saved)
| 1× | egg-herbie |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 #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 | (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 | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 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)))))))) #s(literal 5/6 binary64)) |
| 14 094× | lower-fma.f32 |
| 14 092× | lower-fma.f64 |
| 2 688× | lower-*.f64 |
| 2 688× | lower-*.f32 |
| 1 932× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 217 |
| 0 | 36 | 217 |
| 1 | 55 | 217 |
| 2 | 109 | 217 |
| 3 | 247 | 177 |
| 4 | 703 | 177 |
| 5 | 2507 | 167 |
| 6 | 5489 | 167 |
| 7 | 7635 | 167 |
| 0 | 8030 | 162 |
| 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 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)))))))) #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)))))))) (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)))))))) (-.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 |
#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 |
| Outputs |
|---|
#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)))))))) #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)))))))) (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)))))))) (-.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 |
#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 |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) | |
| accuracy | 0.22265625 | (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t) | |
| accuracy | 0.37109375 | (/.f64 #s(literal 1/27 binary64) t) | |
| accuracy | 30.474713382230316 | #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 | 0.0078125 | (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)) | |
| accuracy | 0.32421875 | (/.f64 #s(literal 2/9 binary64) t) | |
| accuracy | 30.826287319751803 | #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 | 0 | (fma.f64 t t #s(literal 1/2 binary64)) | |
| accuracy | 31.164115815146236 | #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 | 26.118753267391718 | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 1/2 binary64)) | |
| accuracy | 25.669475255977073 | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 5/6 binary64)) |
| 77.0ms | 256× | 0 | valid |
Compiled 195 to 26 computations (86.7% saved)
ival-div: 33.0ms (50.2% of total)ival-mult: 12.0ms (18.3% of total)const: 11.0ms (16.7% of total)ival-sub: 5.0ms (7.6% of total)ival-add: 4.0ms (6.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 5/6 binary64)) (patch #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 5/6 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 1/2 binary64)) (patch #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(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))) (patch #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))) #<representation binary64>) () ()) |
#s(alt (fma.f64 t t #s(literal 1/2 binary64)) (patch (fma.f64 t t #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(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))) (patch #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))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)) (patch (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 2/9 binary64) t) (patch (/.f64 #s(literal 2/9 binary64) t) #<representation binary64>) () ()) |
#s(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))) (patch #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))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t)) (patch (-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t) (patch (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) (patch (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/27 binary64) t) (patch (/.f64 #s(literal 1/27 binary64) t) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1/2 (taylor 0 t) (#s(alt #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 5/6 binary64)) (patch #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 5/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (pow t 2)) (taylor 0 t) (#s(alt #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 5/6 binary64)) (patch #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 5/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* (pow t 2) (+ 1 (* -2 t)))) (taylor 0 t) (#s(alt #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 5/6 binary64)) (patch #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 5/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2))))) (taylor 0 t) (#s(alt #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 5/6 binary64)) (patch #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 5/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1/2 (taylor 0 t) (#s(alt #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 1/2 binary64)) (patch #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (pow t 2)) (taylor 0 t) (#s(alt #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 1/2 binary64)) (patch #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* (pow t 2) (+ 1 (* -2 t)))) (taylor 0 t) (#s(alt #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 1/2 binary64)) (patch #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2))))) (taylor 0 t) (#s(alt #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 1/2 binary64)) (patch #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1/2 (taylor 0 t) (#s(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))) (patch #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))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (pow t 2)) (taylor 0 t) (#s(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))) (patch #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))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* (pow t 2) (+ 1 (* -2 t)))) (taylor 0 t) (#s(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))) (patch #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))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2))))) (taylor 0 t) (#s(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))) (patch #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))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t)) (taylor -inf t) (#s(alt (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t) (patch (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t) #<representation binary64>) () ())) ()) |
#s(alt 2/9 (taylor -inf t) (#s(alt (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) (patch (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) #<representation binary64>) () ())) ()) |
#s(alt (- 2/9 (* 1/27 (/ 1 t))) (taylor -inf t) (#s(alt (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) (patch (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) #<representation binary64>) () ())) ()) |
#s(alt (- 2/9 (* 1/27 (/ 1 t))) (taylor -inf t) (#s(alt (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) (patch (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) #<representation binary64>) () ())) ()) |
#s(alt (- 2/9 (* 1/27 (/ 1 t))) (taylor -inf t) (#s(alt (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) (patch (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/27 t) (taylor -inf t) (#s(alt (/.f64 #s(literal 1/27 binary64) t) (patch (/.f64 #s(literal 1/27 binary64) t) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/27 t) (taylor -inf t) (#s(alt (/.f64 #s(literal 1/27 binary64) t) (patch (/.f64 #s(literal 1/27 binary64) t) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/27 t) (taylor -inf t) (#s(alt (/.f64 #s(literal 1/27 binary64) t) (patch (/.f64 #s(literal 1/27 binary64) t) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/27 t) (taylor -inf t) (#s(alt (/.f64 #s(literal 1/27 binary64) t) (patch (/.f64 #s(literal 1/27 binary64) t) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | t | @ | 0 | ((- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+ (* t t) 1/2) (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (- 5/6 (/ 2/9 t)) (/ 2/9 t) (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/ (- 2/9 (/ 1/27 t)) t) (- 2/9 (/ 1/27 t)) (/ 1/27 t)) |
| 1.0ms | t | @ | -inf | ((- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+ (* t t) 1/2) (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (- 5/6 (/ 2/9 t)) (/ 2/9 t) (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/ (- 2/9 (/ 1/27 t)) t) (- 2/9 (/ 1/27 t)) (/ 1/27 t)) |
| 1.0ms | t | @ | inf | ((- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+ (* t t) 1/2) (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (- 5/6 (/ 2/9 t)) (/ 2/9 t) (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/ (- 2/9 (/ 1/27 t)) t) (- 2/9 (/ 1/27 t)) (/ 1/27 t)) |
| 1× | egg-herbie |
| 6 264× | lower-fma.f64 |
| 6 264× | lower-fma.f32 |
| 3 214× | lower-*.f64 |
| 3 214× | lower-*.f32 |
| 2 336× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 962 |
| 1 | 182 | 914 |
| 2 | 410 | 836 |
| 3 | 884 | 836 |
| 4 | 1720 | 814 |
| 5 | 4269 | 814 |
| 0 | 8327 | 776 |
| 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))))) |
1/2 |
(+ 1/2 (pow t 2)) |
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t)))) |
(+ 1/2 (* (pow t 2) (+ 1 (* t (- 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))))) |
1/2 |
(+ 1/2 (pow t 2)) |
(+ 1/2 (pow t 2)) |
(+ 1/2 (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))))) |
(/ -2/9 t) |
(/ (- (* 5/6 t) 2/9) t) |
(/ (- (* 5/6 t) 2/9) t) |
(/ (- (* 5/6 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))))) |
(/ 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)) |
(/ -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)) |
(/ -1/27 t) |
(/ (- (* 2/9 t) 1/27) t) |
(/ (- (* 2/9 t) 1/27) t) |
(/ (- (* 2/9 t) 1/27) t) |
(/ 1/27 t) |
(/ 1/27 t) |
(/ 1/27 t) |
(/ 1/27 t) |
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 (/ 1/27 (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 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t))) |
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t))) |
(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))))) |
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 (* 2/9 (/ 1 t))) |
(- 5/6 (* 2/9 (/ 1 t))) |
(/ 2/9 t) |
(/ 2/9 t) |
(/ 2/9 t) |
(/ 2/9 t) |
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 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t))) |
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t))) |
(/ 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 |
(- 2/9 (* 1/27 (/ 1 t))) |
(- 2/9 (* 1/27 (/ 1 t))) |
(- 2/9 (* 1/27 (/ 1 t))) |
(/ 1/27 t) |
(/ 1/27 t) |
(/ 1/27 t) |
(/ 1/27 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))) |
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))) |
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))) |
(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))))) |
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))) |
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) |
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))) |
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))) |
(/ 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)) |
2/9 |
(- 2/9 (* 1/27 (/ 1 t))) |
(- 2/9 (* 1/27 (/ 1 t))) |
(- 2/9 (* 1/27 (/ 1 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 (fma.f64 #s(literal -2 binary64) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2))))) |
(fma.f64 (fma.f64 (-.f64 t #s(literal 2 binary64)) t #s(literal 1 binary64)) (*.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 (fma.f64 #s(literal -2 binary64) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2))))) |
(fma.f64 (fma.f64 (-.f64 t #s(literal 2 binary64)) t #s(literal 1 binary64)) (*.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 (fma.f64 #s(literal -2 binary64) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2))))) |
(fma.f64 (fma.f64 (-.f64 t #s(literal 2 binary64)) t #s(literal 1 binary64)) (*.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)) |
(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 |
#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 (fma.f64 #s(literal -2 binary64) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2))))) |
(fma.f64 (fma.f64 (-.f64 t #s(literal 2 binary64)) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) |
(/ -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)) |
(/ 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 (fma.f64 #s(literal -2 binary64) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2))))) |
(fma.f64 (fma.f64 (-.f64 t #s(literal 2 binary64)) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) |
(/ 1/27 (pow t 2)) |
(/.f64 #s(literal 1/27 binary64) (*.f64 t t)) |
(/ (+ 1/27 (* -2/9 t)) (pow t 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64)) t) |
(/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t) |
(/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t) |
(/ -1/27 (pow t 2)) |
(/.f64 (/.f64 #s(literal -1/27 binary64) t) t) |
(/ (- (* 2/9 t) 1/27) (pow t 2)) |
(/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t) |
(/ (- (* 2/9 t) 1/27) (pow t 2)) |
(/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t) |
(/ (- (* 2/9 t) 1/27) (pow t 2)) |
(/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) 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)) |
(/ 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) |
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 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) 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 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) 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 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) t)) |
(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)) |
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 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) 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 (* 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) |
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 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) 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))) (* 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)) |
(/ 2/9 t) |
(/.f64 #s(literal 2/9 binary64) t) |
(/ (- 2/9 (* 1/27 (/ 1 t))) t) |
(/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t) |
(/ (- 2/9 (* 1/27 (/ 1 t))) t) |
(/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t) |
(/ (- 2/9 (* 1/27 (/ 1 t))) t) |
(/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) 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)) |
(/ 1/27 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) |
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 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) 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 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) 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 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) t)) |
(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)) |
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 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) 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 (* 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) |
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 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) 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 (* 1/27 (/ 1 t))) t))) |
(-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t)) |
(/ 2/9 t) |
(/.f64 #s(literal 2/9 binary64) t) |
(* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t)) |
(/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t) |
(* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t)) |
(/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t) |
(* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t)) |
(/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) 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)) |
(/ 1/27 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) |
| 4 944× | lower-/.f32 |
| 4 938× | lower-/.f64 |
| 4 450× | lower-*.f64 |
| 4 450× | lower-*.f32 |
| 2 140× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 206 |
| 0 | 36 | 156 |
| 1 | 200 | 156 |
| 2 | 1693 | 156 |
| 0 | 8467 | 156 |
| 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 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)))))))) (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)))))))) (-.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) |
#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)) |
(/.f64 #s(literal 1/27 binary64) t) |
| Outputs |
|---|
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Compiled 7 684 to 1 412 computations (81.6% saved)
8 alts after pruning (2 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 439 | 2 | 441 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 440 | 8 | 448 |
| 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)))))))) |
| ✓ | 51.3% | #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))) |
| ▶ | 51.5% | #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 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) t))) |
| ✓ | 52.4% | #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))) |
| ✓ | 51.8% | #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))) |
| ▶ | 25.8% | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t))) |
| ✓ | 59.9% | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 5/6 binary64)) |
| ✓ | 59.2% | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 1/2 binary64)) |
Compiled 81 to 59 computations (27.2% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) t) | |
| cost-diff | 0 | (-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #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 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) t))) | |
| cost-diff | 0 | (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) | |
| cost-diff | 0 | (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t) | |
| cost-diff | 0 | #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #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)))))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t))) |
| 11 344× | lower-fma.f32 |
| 11 340× | lower-fma.f64 |
| 2 526× | lower-*.f64 |
| 2 526× | lower-*.f32 |
| 1 906× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 203 |
| 0 | 47 | 203 |
| 1 | 81 | 203 |
| 2 | 161 | 203 |
| 3 | 412 | 187 |
| 4 | 1123 | 187 |
| 5 | 3615 | 183 |
| 6 | 6282 | 183 |
| 0 | 8102 | 181 |
| 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(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t))) |
#s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t) |
(/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) |
(fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) |
(fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) |
#s(literal 5/6 binary64) |
t |
#s(literal -2/9 binary64) |
#s(literal 1/27 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 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) t))) |
(-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) t)) |
#s(literal 5/6 binary64) |
(/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) t) |
(-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) |
#s(literal 2/9 binary64) |
(/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) |
(-.f64 (/.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 -1/27 binary64) |
| Outputs |
|---|
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t))) |
#s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t) |
(/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) |
(fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) |
(fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) |
#s(literal 5/6 binary64) |
t |
#s(literal -2/9 binary64) |
#s(literal 1/27 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 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) t))) |
(-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) t)) |
#s(literal 5/6 binary64) |
(/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) t) |
(-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) |
#s(literal 2/9 binary64) |
(/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) |
(-.f64 (/.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 -1/27 binary64) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.21484375 | (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) t) | |
| accuracy | 0.2421875 | (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) | |
| accuracy | 0.40234375 | (/.f64 #s(literal 4/81 binary64) t) | |
| accuracy | 31.022386856427143 | #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 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) t))) | |
| accuracy | 0.1484375 | (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) | |
| accuracy | 0.25390625 | (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t) | |
| accuracy | 16.49330306536614 | (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) | |
| accuracy | 30.474713382230316 | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t))) |
| 145.0ms | 244× | 0 | valid |
| 7.0ms | 10× | 2 | valid |
| 1.0ms | 2× | 1 | valid |
Compiled 164 to 36 computations (78% saved)
ival-div: 58.0ms (60.2% of total)const: 17.0ms (17.6% of total)ival-sub: 8.0ms (8.3% of total)ival-mult: 6.0ms (6.2% of total)ival-add: 5.0ms (5.2% of total)adjust: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t))) (patch #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t)) (patch #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t) (patch (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) (patch (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) #<representation binary64>) () ()) |
#s(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 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) t))) (patch #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 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) t))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) t)) (patch (-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) t)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) t) (patch (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) t) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) (patch (-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) (patch (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 4/81 binary64) t) (patch (/.f64 #s(literal 4/81 binary64) t) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) (patch (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1/2 (taylor 0 t) (#s(alt #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t))) (patch #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (pow t 2)) (taylor 0 t) (#s(alt #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t))) (patch #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* (pow t 2) (+ 1 (* -2 t)))) (taylor 0 t) (#s(alt #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t))) (patch #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2))))) (taylor 0 t) (#s(alt #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t))) (patch #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/27 (pow t 2)) (taylor 0 t) (#s(alt #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t)) (patch #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/27 (* -2/9 t)) (pow t 2)) (taylor 0 t) (#s(alt #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t)) (patch #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2)) (taylor 0 t) (#s(alt #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t)) (patch #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2)) (taylor 0 t) (#s(alt #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t)) (patch #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/27 (pow t 2)) (taylor 0 t) (#s(alt (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t) (patch (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/27 (* -2/9 t)) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t) (patch (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t) (patch (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t) (patch (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/27 t) (taylor 0 t) (#s(alt (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) (patch (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/27 (* -2/9 t)) t) (taylor 0 t) (#s(alt (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) (patch (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) t) (taylor 0 t) (#s(alt (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) (patch (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) t) (taylor 0 t) (#s(alt (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) (patch (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) #<representation binary64>) () ())) ()) |
#s(alt 1/2 (taylor 0 t) (#s(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 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) t))) (patch #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 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) t))) #<representation binary64>) () ())) ()) |
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#s(alt (- 5/6 (* 2/9 (/ 1 t))) (taylor -inf t) (#s(alt (-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) t)) (patch (-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) t)) #<representation binary64>) () ())) ()) |
#s(alt (+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))) (taylor -inf t) (#s(alt (-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) t)) (patch (-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) t)) #<representation binary64>) () ())) ()) |
#s(alt (+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t))) (taylor -inf t) (#s(alt (-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) t)) (patch (-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ 2/9 t) (taylor -inf t) (#s(alt (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) t) (patch (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t)) (taylor -inf t) (#s(alt (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) t) (patch (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9) t)) (taylor -inf t) (#s(alt (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) t) (patch (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9) t)) (taylor -inf t) (#s(alt (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) t) (patch (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) t) #<representation binary64>) () ())) ()) |
#s(alt 2/9 (taylor -inf t) (#s(alt (-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) (patch (-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) #<representation binary64>) () ())) ()) |
#s(alt (- 2/9 (* 1/27 (/ 1 t))) (taylor -inf t) (#s(alt (-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) (patch (-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) (taylor -inf t) (#s(alt (-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) (patch (-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) (taylor -inf t) (#s(alt (-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) (patch (-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) #<representation binary64>) () ())) ()) |
#s(alt (* 5/6 t) (taylor -inf t) (#s(alt (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) (patch (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (- (* 2/9 (/ 1 t)) 5/6))) (taylor -inf t) (#s(alt (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) (patch (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (- (* 2/9 (/ 1 t)) 5/6))) (taylor -inf t) (#s(alt (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) (patch (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (- (* 2/9 (/ 1 t)) 5/6))) (taylor -inf t) (#s(alt (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) (patch (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 4/81 t) (taylor -inf t) (#s(alt (/.f64 #s(literal 4/81 binary64) t) (patch (/.f64 #s(literal 4/81 binary64) t) #<representation binary64>) () ())) ()) |
#s(alt (/ 4/81 t) (taylor -inf t) (#s(alt (/.f64 #s(literal 4/81 binary64) t) (patch (/.f64 #s(literal 4/81 binary64) t) #<representation binary64>) () ())) ()) |
#s(alt (/ 4/81 t) (taylor -inf t) (#s(alt (/.f64 #s(literal 4/81 binary64) t) (patch (/.f64 #s(literal 4/81 binary64) t) #<representation binary64>) () ())) ()) |
#s(alt (/ 4/81 t) (taylor -inf t) (#s(alt (/.f64 #s(literal 4/81 binary64) t) (patch (/.f64 #s(literal 4/81 binary64) t) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/27 t) (taylor -inf t) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) (patch (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/27 (* 4/81 (/ 1 t))) t) (taylor -inf t) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) (patch (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/27 (* 4/81 (/ 1 t))) t) (taylor -inf t) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) (patch (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/27 (* 4/81 (/ 1 t))) t) (taylor -inf t) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) (patch (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | t | @ | 0 | ((- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/ (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) t) (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (- 5/6 (/ (- 2/9 (/ (- (/ 4/81 t) -1/27) t)) t)) (/ (- 2/9 (/ (- (/ 4/81 t) -1/27) t)) t) (- 2/9 (/ (- (/ 4/81 t) -1/27) t)) (+ (* 5/6 t) -2/9) (/ 4/81 t) (/ (- (/ 4/81 t) -1/27) t)) |
| 2.0ms | t | @ | -inf | ((- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/ (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) t) (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (- 5/6 (/ (- 2/9 (/ (- (/ 4/81 t) -1/27) t)) t)) (/ (- 2/9 (/ (- (/ 4/81 t) -1/27) t)) t) (- 2/9 (/ (- (/ 4/81 t) -1/27) t)) (+ (* 5/6 t) -2/9) (/ 4/81 t) (/ (- (/ 4/81 t) -1/27) t)) |
| 1.0ms | t | @ | inf | ((- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/ (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) t) (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (- 5/6 (/ (- 2/9 (/ (- (/ 4/81 t) -1/27) t)) t)) (/ (- 2/9 (/ (- (/ 4/81 t) -1/27) t)) t) (- 2/9 (/ (- (/ 4/81 t) -1/27) t)) (+ (* 5/6 t) -2/9) (/ 4/81 t) (/ (- (/ 4/81 t) -1/27) t)) |
| 1× | egg-herbie |
| 7 342× | lower-fma.f64 |
| 7 342× | lower-fma.f32 |
| 2 368× | lower-*.f64 |
| 2 368× | lower-*.f32 |
| 1 356× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 102 | 996 |
| 1 | 247 | 948 |
| 2 | 617 | 946 |
| 3 | 1449 | 890 |
| 4 | 3131 | 884 |
| 5 | 5532 | 864 |
| 0 | 8068 | 822 |
| 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))))) |
(/ 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)) |
(/ 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)) |
(/ 1/27 t) |
(/ (+ 1/27 (* -2/9 t)) t) |
(/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) t) |
(/ (+ 1/27 (* t (- (* 5/6 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))))) |
(/ 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)) |
(/ -4/81 (pow t 3)) |
(/ (- (* -1/27 t) 4/81) (pow t 3)) |
(/ (- (* t (- (* 2/9 t) 1/27)) 4/81) (pow t 3)) |
(/ (- (* t (- (* 2/9 t) 1/27)) 4/81) (pow t 3)) |
(/ -4/81 (pow t 2)) |
(/ (- (* -1/27 t) 4/81) (pow t 2)) |
(/ (- (* t (- (* 2/9 t) 1/27)) 4/81) (pow t 2)) |
(/ (- (* t (- (* 2/9 t) 1/27)) 4/81) (pow t 2)) |
-2/9 |
(- (* 5/6 t) 2/9) |
(- (* 5/6 t) 2/9) |
(- (* 5/6 t) 2/9) |
(/ 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)) |
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 (/ 1/27 (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 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t))) |
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t))) |
(* 5/6 t) |
(* t (- 5/6 (* 2/9 (/ 1 t)))) |
(* t (- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))) |
(* t (- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))) |
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 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t))) |
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t))) |
(/ 2/9 t) |
(/ (- 2/9 (* 1/27 (/ 1 t))) t) |
(/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t) |
(/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t) |
2/9 |
(- 2/9 (* 1/27 (/ 1 t))) |
(+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) |
(+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) |
(* 5/6 t) |
(* t (- 5/6 (* 2/9 (/ 1 t)))) |
(* t (- 5/6 (* 2/9 (/ 1 t)))) |
(* t (- 5/6 (* 2/9 (/ 1 t)))) |
(/ 4/81 t) |
(/ 4/81 t) |
(/ 4/81 t) |
(/ 4/81 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) |
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))) |
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))) |
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))) |
(* 5/6 t) |
(* -1 (* t (- (* 2/9 (/ 1 t)) 5/6))) |
(* -1 (* t (- (* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t)) 5/6))) |
(* -1 (* t (- (* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t)) 5/6))) |
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))) |
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) |
(* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t)) |
(* -1 (/ (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9) t)) |
(* -1 (/ (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9) t)) |
2/9 |
(- 2/9 (* 1/27 (/ 1 t))) |
(+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) |
(+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) |
(* 5/6 t) |
(* -1 (* t (- (* 2/9 (/ 1 t)) 5/6))) |
(* -1 (* t (- (* 2/9 (/ 1 t)) 5/6))) |
(* -1 (* t (- (* 2/9 (/ 1 t)) 5/6))) |
(/ 4/81 t) |
(/ 4/81 t) |
(/ 4/81 t) |
(/ 4/81 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 (fma.f64 #s(literal -2 binary64) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2))))) |
(fma.f64 (fma.f64 (-.f64 t #s(literal 2 binary64)) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) |
(/ 1/27 (pow t 2)) |
(/.f64 #s(literal 1/27 binary64) (*.f64 t t)) |
(/ (+ 1/27 (* -2/9 t)) (pow t 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64)) t) |
(/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t) |
(/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) 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 (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64)) t) |
(/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t) |
(/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t) |
(/ 1/27 t) |
(/.f64 #s(literal 1/27 binary64) t) |
(/ (+ 1/27 (* -2/9 t)) t) |
(-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64)) |
(/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) t) |
(/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) |
(/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) t) |
(/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #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 (fma.f64 #s(literal -2 binary64) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2))))) |
(fma.f64 (fma.f64 (-.f64 t #s(literal 2 binary64)) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) |
(/ 4/81 (pow t 3)) |
(/.f64 #s(literal 4/81 binary64) (pow.f64 t #s(literal 3 binary64))) |
(/ (+ 4/81 (* 1/27 t)) (pow t 3)) |
(/.f64 (fma.f64 #s(literal 1/27 binary64) t #s(literal 4/81 binary64)) (pow.f64 t #s(literal 3 binary64))) |
(/ (+ 4/81 (* t (+ 1/27 (* -2/9 t)))) (pow t 3)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) #s(literal 2/9 binary64)) t) |
(/ (+ 4/81 (* t (+ 1/27 (* t (- (* 5/6 t) 2/9))))) (pow t 3)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t #s(literal 4/81 binary64)) (pow.f64 t #s(literal 3 binary64))) |
(/ -4/81 (pow t 3)) |
(/.f64 #s(literal -4/81 binary64) (pow.f64 t #s(literal 3 binary64))) |
(/ (- (* -1/27 t) 4/81) (pow t 3)) |
(/.f64 (fma.f64 #s(literal -1/27 binary64) t #s(literal -4/81 binary64)) (pow.f64 t #s(literal 3 binary64))) |
(/ (- (* t (- (* 2/9 t) 1/27)) 4/81) (pow t 3)) |
(/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) t) |
(/ (- (* t (- (* 2/9 t) 1/27)) 4/81) (pow t 3)) |
(/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) t) |
(/ -4/81 (pow t 2)) |
(/.f64 #s(literal -4/81 binary64) (*.f64 t t)) |
(/ (- (* -1/27 t) 4/81) (pow t 2)) |
(/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) |
(/ (- (* t (- (* 2/9 t) 1/27)) 4/81) (pow t 2)) |
(-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) |
(/ (- (* t (- (* 2/9 t) 1/27)) 4/81) (pow t 2)) |
(-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) |
-2/9 |
#s(literal -2/9 binary64) |
(- (* 5/6 t) 2/9) |
(fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) |
(- (* 5/6 t) 2/9) |
(fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) |
(- (* 5/6 t) 2/9) |
(fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) |
(/ 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 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) |
(/ (+ 4/81 (* 1/27 t)) (pow t 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) |
(/ (+ 4/81 (* 1/27 t)) (pow t 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 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 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t))) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64)) t) #s(literal -5/6 binary64)) |
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t))) |
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) #s(literal 2/9 binary64)) t) #s(literal -5/6 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 (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64)) t) #s(literal -5/6 binary64)) |
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t))) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64)) t) #s(literal -5/6 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 (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64)) t) #s(literal -5/6 binary64)) |
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t))) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64)) t) #s(literal -5/6 binary64)) |
(* 5/6 t) |
(*.f64 #s(literal 5/6 binary64) t) |
(* t (- 5/6 (* 2/9 (/ 1 t)))) |
(fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) |
(* t (- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))) |
(fma.f64 #s(literal 5/6 binary64) t (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64))) |
(* t (- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))) |
(fma.f64 #s(literal 5/6 binary64) t (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 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 (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64)) t) #s(literal -5/6 binary64)) |
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t))) |
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) #s(literal 2/9 binary64)) t) #s(literal -5/6 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 (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64)) t) #s(literal -5/6 binary64)) |
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t))) |
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) #s(literal 2/9 binary64)) t) #s(literal -5/6 binary64)) |
(/ 2/9 t) |
(/.f64 #s(literal 2/9 binary64) t) |
(/ (- 2/9 (* 1/27 (/ 1 t))) t) |
(/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t) |
(/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t) |
(/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) t) |
(/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t) |
(/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) 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 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) |
(-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) |
(+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) |
(-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) |
(* 5/6 t) |
(*.f64 #s(literal 5/6 binary64) t) |
(* t (- 5/6 (* 2/9 (/ 1 t)))) |
(fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) |
(* t (- 5/6 (* 2/9 (/ 1 t)))) |
(fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) |
(* t (- 5/6 (* 2/9 (/ 1 t)))) |
(fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) |
(/ 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) |
(/ 1/27 t) |
(/.f64 #s(literal 1/27 binary64) t) |
(/ (+ 1/27 (* 4/81 (/ 1 t))) t) |
(/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) |
(/ (+ 1/27 (* 4/81 (/ 1 t))) t) |
(/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) |
(/ (+ 1/27 (* 4/81 (/ 1 t))) t) |
(/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 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 (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64)) t) #s(literal -5/6 binary64)) |
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t))) |
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) #s(literal 2/9 binary64)) t) #s(literal -5/6 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 (/ (- 2/9 (* 1/27 (/ 1 t))) t))) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64)) t) #s(literal -5/6 binary64)) |
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64)) t) #s(literal -5/6 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 (/ (- 2/9 (* 1/27 (/ 1 t))) t))) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64)) t) #s(literal -5/6 binary64)) |
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64)) t) #s(literal -5/6 binary64)) |
(* 5/6 t) |
(*.f64 #s(literal 5/6 binary64) t) |
(* -1 (* t (- (* 2/9 (/ 1 t)) 5/6))) |
(fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) |
(* -1 (* t (- (* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t)) 5/6))) |
(fma.f64 #s(literal 5/6 binary64) t (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64))) |
(* -1 (* t (- (* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t)) 5/6))) |
(fma.f64 #s(literal 5/6 binary64) t (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 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 (/ (- 2/9 (* 1/27 (/ 1 t))) t))) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64)) t) #s(literal -5/6 binary64)) |
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t))) |
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) #s(literal 2/9 binary64)) t) #s(literal -5/6 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 (/ (- 2/9 (* 1/27 (/ 1 t))) t))) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64)) t) #s(literal -5/6 binary64)) |
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t))) |
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) #s(literal 2/9 binary64)) t) #s(literal -5/6 binary64)) |
(/ 2/9 t) |
(/.f64 #s(literal 2/9 binary64) t) |
(* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t)) |
(/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t) |
(* -1 (/ (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9) t)) |
(/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) t) |
(* -1 (/ (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9) t)) |
(/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) 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 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) |
(-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) |
(+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) |
(-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) |
(* 5/6 t) |
(*.f64 #s(literal 5/6 binary64) t) |
(* -1 (* t (- (* 2/9 (/ 1 t)) 5/6))) |
(fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) |
(* -1 (* t (- (* 2/9 (/ 1 t)) 5/6))) |
(fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) |
(* -1 (* t (- (* 2/9 (/ 1 t)) 5/6))) |
(fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) |
(/ 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) |
(/ 1/27 t) |
(/.f64 #s(literal 1/27 binary64) t) |
(/ (+ 1/27 (* 4/81 (/ 1 t))) t) |
(/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) |
(/ (+ 1/27 (* 4/81 (/ 1 t))) t) |
(/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) |
(/ (+ 1/27 (* 4/81 (/ 1 t))) t) |
(/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) |
| 5 408× | lower-*.f64 |
| 5 408× | lower-*.f32 |
| 3 938× | lower-/.f32 |
| 3 928× | lower-/.f64 |
| 2 586× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 182 |
| 0 | 47 | 162 |
| 1 | 279 | 162 |
| 2 | 2492 | 162 |
| 0 | 8356 | 162 |
| 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(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t))) |
#s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t) |
(/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 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)))))))) (-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) t))) |
(-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) t)) |
(/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) t) |
(-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) |
(fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) |
(/.f64 #s(literal 4/81 binary64) t) |
(/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) |
| Outputs |
|---|
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Compiled 7 008 to 1 531 computations (78.2% saved)
9 alts after pruning (2 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 375 | 2 | 377 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 6 | 6 |
| Total | 376 | 9 | 385 |
| 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)))))))) |
| ✓ | 51.3% | #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))) |
| ✓ | 51.5% | #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 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) t))) |
| ✓ | 52.4% | #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))) |
| ✓ | 51.8% | #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))) |
| ▶ | 51.5% | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) t))) |
| ▶ | 52.2% | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 #s(approx (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) (fma.f64 #s(literal 5/6 binary64) t (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64)))) t))) |
| ✓ | 59.9% | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 5/6 binary64)) |
| ✓ | 59.2% | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 1/2 binary64)) |
Compiled 97 to 73 computations (24.7% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 | (+.f64 (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #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 (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) t))) | |
| cost-diff | 0 | #s(approx (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) (fma.f64 #s(literal 5/6 binary64) t (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(approx (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) (fma.f64 #s(literal 5/6 binary64) t (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64)))) t) | |
| cost-diff | 0 | #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 #s(approx (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) (fma.f64 #s(literal 5/6 binary64) t (-.f64 (/.f64 #s(literal 1/27 binary64) 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)))))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 #s(approx (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) (fma.f64 #s(literal 5/6 binary64) t (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64)))) t))) |
| 10 744× | lower-fma.f32 |
| 10 742× | lower-fma.f64 |
| 2 454× | lower-*.f64 |
| 2 454× | lower-*.f32 |
| 1 816× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 253 |
| 0 | 53 | 253 |
| 1 | 90 | 253 |
| 2 | 174 | 253 |
| 3 | 421 | 237 |
| 4 | 1071 | 237 |
| 5 | 3457 | 233 |
| 6 | 6204 | 233 |
| 0 | 8059 | 223 |
| 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(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 #s(approx (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) (fma.f64 #s(literal 5/6 binary64) t (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64)))) t))) |
#s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 #s(approx (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) (fma.f64 #s(literal 5/6 binary64) t (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64)))) t)) |
(/.f64 #s(approx (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) (fma.f64 #s(literal 5/6 binary64) t (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64)))) t) |
#s(approx (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) (fma.f64 #s(literal 5/6 binary64) t (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64)))) |
(fma.f64 #s(literal 5/6 binary64) t (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64))) |
#s(literal 5/6 binary64) |
t |
(-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64)) |
(/.f64 #s(literal 1/27 binary64) t) |
#s(literal 1/27 binary64) |
#s(literal 2/9 binary64) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) t))) |
(+.f64 (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) 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 (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) t) |
(/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) |
(-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) |
(/.f64 #s(literal 4/81 binary64) t) |
#s(literal 4/81 binary64) |
#s(literal -1/27 binary64) |
| Outputs |
|---|
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 #s(approx (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) (fma.f64 #s(literal 5/6 binary64) t (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64)))) t))) |
#s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 #s(approx (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) (fma.f64 #s(literal 5/6 binary64) t (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64)))) t)) |
(/.f64 #s(approx (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) (fma.f64 #s(literal 5/6 binary64) t (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64)))) t) |
#s(approx (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) (fma.f64 #s(literal 5/6 binary64) t (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64)))) |
(fma.f64 #s(literal 5/6 binary64) t (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64))) |
#s(literal 5/6 binary64) |
t |
(-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64)) |
(/.f64 #s(literal 1/27 binary64) t) |
#s(literal 1/27 binary64) |
#s(literal 2/9 binary64) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #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 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) t) #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 (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) t)) |
(-.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) t) #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 (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) t) |
(/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) |
(-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) |
(/.f64 #s(literal 4/81 binary64) t) |
#s(literal 4/81 binary64) |
#s(literal -1/27 binary64) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.2421875 | (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) | |
| accuracy | 0.32421875 | (/.f64 #s(literal 2/9 binary64) t) | |
| accuracy | 0.40234375 | (/.f64 #s(literal 4/81 binary64) t) | |
| accuracy | 31.022386856427143 | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) t))) | |
| accuracy | 0.13671875 | (fma.f64 #s(literal 5/6 binary64) t (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64))) | |
| accuracy | 0.25390625 | (/.f64 #s(approx (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) (fma.f64 #s(literal 5/6 binary64) t (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64)))) t) | |
| accuracy | 0.37109375 | (/.f64 #s(literal 1/27 binary64) t) | |
| accuracy | 30.474713382230316 | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 #s(approx (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) (fma.f64 #s(literal 5/6 binary64) t (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64)))) t))) |
| 263.0ms | 244× | 0 | valid |
| 8.0ms | 10× | 2 | valid |
| 1.0ms | 2× | 1 | valid |
Compiled 166 to 39 computations (76.5% saved)
ival-div: 97.0ms (37.6% of total)const: 88.0ms (34.1% of total)ival-mult: 56.0ms (21.7% of total)ival-sub: 8.0ms (3.1% of total)ival-add: 7.0ms (2.7% of total)adjust: 2.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 #s(approx (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) (fma.f64 #s(literal 5/6 binary64) t (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64)))) t))) (patch #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 #s(approx (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) (fma.f64 #s(literal 5/6 binary64) t (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64)))) t))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 #s(approx (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) (fma.f64 #s(literal 5/6 binary64) t (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64)))) t)) (patch #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 #s(approx (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) (fma.f64 #s(literal 5/6 binary64) t (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64)))) t)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) (fma.f64 #s(literal 5/6 binary64) t (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64)))) t) (patch (/.f64 #s(approx (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) (fma.f64 #s(literal 5/6 binary64) t (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64)))) t) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) (fma.f64 #s(literal 5/6 binary64) t (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64)))) (patch #s(approx (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) (fma.f64 #s(literal 5/6 binary64) t (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) t))) (patch #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) t))) #<representation binary64>) () ()) |
#s(alt (+.f64 (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) t)) (patch (+.f64 (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) t)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)) (patch (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 2/9 binary64) t) (patch (/.f64 #s(literal 2/9 binary64) t) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/27 binary64) t) (patch (/.f64 #s(literal 1/27 binary64) t) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 5/6 binary64) t (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64))) (patch (fma.f64 #s(literal 5/6 binary64) t (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 4/81 binary64) t) (patch (/.f64 #s(literal 4/81 binary64) t) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) (patch (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) #<representation binary64>) () ()) |
| Outputs |
|---|
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#s(alt (/ 4/81 t) (taylor -inf t) (#s(alt (/.f64 #s(literal 4/81 binary64) t) (patch (/.f64 #s(literal 4/81 binary64) t) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/27 t) (taylor -inf t) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) (patch (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/27 (* 4/81 (/ 1 t))) t) (taylor -inf t) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) (patch (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/27 (* 4/81 (/ 1 t))) t) (taylor -inf t) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) (patch (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/27 (* 4/81 (/ 1 t))) t) (taylor -inf t) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) (patch (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | 0 | ((- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/ (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) t) (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+ (- 5/6 (/ 2/9 t)) (/ (/ (- (/ 4/81 t) -1/27) t) t)) (- 5/6 (/ 2/9 t)) (/ 2/9 t) (/ 1/27 t) (+ (* 5/6 t) (- (/ 1/27 t) 2/9)) (/ 4/81 t) (/ (- (/ 4/81 t) -1/27) t)) |
| 1.0ms | t | @ | -inf | ((- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/ (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) t) (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+ (- 5/6 (/ 2/9 t)) (/ (/ (- (/ 4/81 t) -1/27) t) t)) (- 5/6 (/ 2/9 t)) (/ 2/9 t) (/ 1/27 t) (+ (* 5/6 t) (- (/ 1/27 t) 2/9)) (/ 4/81 t) (/ (- (/ 4/81 t) -1/27) t)) |
| 1.0ms | t | @ | inf | ((- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/ (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) t) (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+ (- 5/6 (/ 2/9 t)) (/ (/ (- (/ 4/81 t) -1/27) t) t)) (- 5/6 (/ 2/9 t)) (/ 2/9 t) (/ 1/27 t) (+ (* 5/6 t) (- (/ 1/27 t) 2/9)) (/ 4/81 t) (/ (- (/ 4/81 t) -1/27) t)) |
| 1× | egg-herbie |
| 8 624× | lower-fma.f64 |
| 8 624× | lower-fma.f32 |
| 2 356× | lower-*.f64 |
| 2 356× | lower-*.f32 |
| 2 294× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 86 | 984 |
| 1 | 208 | 928 |
| 2 | 487 | 890 |
| 3 | 1059 | 866 |
| 4 | 2416 | 854 |
| 5 | 4657 | 846 |
| 6 | 7485 | 846 |
| 0 | 8364 | 799 |
| 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))))) |
(/ 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)) |
(/ 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)) |
(/ 1/27 t) |
(/ (+ 1/27 (* -2/9 t)) t) |
(/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) t) |
(/ (+ 1/27 (* t (- (* 5/6 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))))) |
(/ 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)) |
(/ -2/9 t) |
(/ (- (* 5/6 t) 2/9) t) |
(/ (- (* 5/6 t) 2/9) t) |
(/ (- (* 5/6 t) 2/9) t) |
(/ 2/9 t) |
(/ 2/9 t) |
(/ 2/9 t) |
(/ 2/9 t) |
(/ 1/27 t) |
(/ 1/27 t) |
(/ 1/27 t) |
(/ 1/27 t) |
(/ 1/27 t) |
(/ (+ 1/27 (* -2/9 t)) t) |
(/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) t) |
(/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) 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)) |
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 (/ 1/27 (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 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t))) |
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t))) |
(* 5/6 t) |
(* t (- 5/6 (* 2/9 (/ 1 t)))) |
(* t (- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))) |
(* t (- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))) |
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 (/ 1/27 (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 (* 2/9 (/ 1 t))) |
(- 5/6 (* 2/9 (/ 1 t))) |
(/ 2/9 t) |
(/ 2/9 t) |
(/ 2/9 t) |
(/ 2/9 t) |
(/ 1/27 t) |
(/ 1/27 t) |
(/ 1/27 t) |
(/ 1/27 t) |
(* 5/6 t) |
(* t (- 5/6 (* 2/9 (/ 1 t)))) |
(* t (- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))) |
(* t (- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))) |
(/ 4/81 t) |
(/ 4/81 t) |
(/ 4/81 t) |
(/ 4/81 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) |
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))) |
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))) |
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))) |
(* 5/6 t) |
(* -1 (* t (- (* 2/9 (/ 1 t)) 5/6))) |
(* -1 (* t (- (* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t)) 5/6))) |
(* -1 (* t (- (* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t)) 5/6))) |
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))) |
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))) |
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) |
(/ 1/27 t) |
(/ 1/27 t) |
(/ 1/27 t) |
(/ 1/27 t) |
(* 5/6 t) |
(* -1 (* t (- (* 2/9 (/ 1 t)) 5/6))) |
(* -1 (* t (- (* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t)) 5/6))) |
(* -1 (* t (- (* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t)) 5/6))) |
(/ 4/81 t) |
(/ 4/81 t) |
(/ 4/81 t) |
(/ 4/81 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 (fma.f64 #s(literal -2 binary64) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2))))) |
(fma.f64 (fma.f64 (-.f64 t #s(literal 2 binary64)) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) |
(/ 1/27 (pow t 2)) |
(/.f64 #s(literal 1/27 binary64) (*.f64 t t)) |
(/ (+ 1/27 (* -2/9 t)) (pow t 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64)) t) |
(/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t) |
(/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) 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 (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64)) t) |
(/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t) |
(/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t) |
(/ 1/27 t) |
(/.f64 #s(literal 1/27 binary64) t) |
(/ (+ 1/27 (* -2/9 t)) t) |
(-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64)) |
(/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) t) |
(/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) |
(/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) t) |
(/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #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 (fma.f64 #s(literal -2 binary64) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2))))) |
(fma.f64 (fma.f64 (-.f64 t #s(literal 2 binary64)) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) |
(/ 4/81 (pow t 3)) |
(/.f64 #s(literal 4/81 binary64) (pow.f64 t #s(literal 3 binary64))) |
(/ (+ 4/81 (* 1/27 t)) (pow t 3)) |
(/.f64 (fma.f64 #s(literal 1/27 binary64) t #s(literal 4/81 binary64)) (pow.f64 t #s(literal 3 binary64))) |
(/ (+ 4/81 (* t (+ 1/27 (* -2/9 t)))) (pow t 3)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -2/9 binary64) t #s(literal 1/27 binary64)) t #s(literal 4/81 binary64)) (pow.f64 t #s(literal 3 binary64))) |
(/ (+ 4/81 (* t (+ 1/27 (* t (- (* 5/6 t) 2/9))))) (pow t 3)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t #s(literal 4/81 binary64)) (pow.f64 t #s(literal 3 binary64))) |
(/ -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)) |
(/ 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) |
(/ 1/27 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 (* -2/9 t)) t) |
(-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64)) |
(/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) t) |
(/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) |
(/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) t) |
(/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 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 (/.f64 (fma.f64 #s(literal 1/27 binary64) t #s(literal 4/81 binary64)) t) t) |
(/ (+ 4/81 (* 1/27 t)) (pow t 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal 1/27 binary64) t #s(literal 4/81 binary64)) t) t) |
(/ (+ 4/81 (* 1/27 t)) (pow t 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal 1/27 binary64) t #s(literal 4/81 binary64)) 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 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) 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))) (* 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 |
#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))) (* 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 t) |
(*.f64 #s(literal 5/6 binary64) t) |
(* t (- 5/6 (* 2/9 (/ 1 t)))) |
(fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) |
(* t (- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))) |
(fma.f64 #s(literal 5/6 binary64) t (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64))) |
(* t (- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))) |
(fma.f64 #s(literal 5/6 binary64) t (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 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 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) 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 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) 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 (* 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) |
(/ 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) |
(* 5/6 t) |
(*.f64 #s(literal 5/6 binary64) t) |
(* t (- 5/6 (* 2/9 (/ 1 t)))) |
(fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) |
(* t (- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))) |
(fma.f64 #s(literal 5/6 binary64) t (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64))) |
(* t (- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))) |
(fma.f64 #s(literal 5/6 binary64) t (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64))) |
(/ 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) |
(/ 1/27 t) |
(/.f64 #s(literal 1/27 binary64) t) |
(/ (+ 1/27 (* 4/81 (/ 1 t))) t) |
(/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) |
(/ (+ 1/27 (* 4/81 (/ 1 t))) t) |
(/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) |
(/ (+ 1/27 (* 4/81 (/ 1 t))) t) |
(/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 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 #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 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) 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 (* 1/27 (/ 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 |
#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 (* 1/27 (/ 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 t) |
(*.f64 #s(literal 5/6 binary64) t) |
(* -1 (* t (- (* 2/9 (/ 1 t)) 5/6))) |
(fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) |
(* -1 (* t (- (* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t)) 5/6))) |
(fma.f64 #s(literal 5/6 binary64) t (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64))) |
(* -1 (* t (- (* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t)) 5/6))) |
(fma.f64 #s(literal 5/6 binary64) t (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 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 (/ (- 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 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) 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 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) 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 (* 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) |
(/ 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) |
(* 5/6 t) |
(*.f64 #s(literal 5/6 binary64) t) |
(* -1 (* t (- (* 2/9 (/ 1 t)) 5/6))) |
(fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) |
(* -1 (* t (- (* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t)) 5/6))) |
(fma.f64 #s(literal 5/6 binary64) t (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64))) |
(* -1 (* t (- (* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t)) 5/6))) |
(fma.f64 #s(literal 5/6 binary64) t (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64))) |
(/ 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) |
(/ 1/27 t) |
(/.f64 #s(literal 1/27 binary64) t) |
(/ (+ 1/27 (* 4/81 (/ 1 t))) t) |
(/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) |
(/ (+ 1/27 (* 4/81 (/ 1 t))) t) |
(/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) |
(/ (+ 1/27 (* 4/81 (/ 1 t))) t) |
(/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) |
| 5 296× | lower-/.f32 |
| 5 284× | lower-/.f64 |
| 2 914× | lower-*.f64 |
| 2 914× | lower-*.f32 |
| 2 356× | lower-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 225 |
| 0 | 53 | 205 |
| 1 | 312 | 201 |
| 2 | 3016 | 201 |
| 0 | 8589 | 193 |
| 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(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 #s(approx (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) (fma.f64 #s(literal 5/6 binary64) t (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64)))) t))) |
#s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 #s(approx (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) (fma.f64 #s(literal 5/6 binary64) t (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64)))) t)) |
(/.f64 #s(approx (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) (fma.f64 #s(literal 5/6 binary64) t (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64)))) t) |
#s(approx (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) (fma.f64 #s(literal 5/6 binary64) t (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64)))) |
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) t))) |
(+.f64 (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) t)) |
(-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)) |
(/.f64 #s(literal 2/9 binary64) t) |
(/.f64 #s(literal 1/27 binary64) t) |
(fma.f64 #s(literal 5/6 binary64) t (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64))) |
(/.f64 #s(literal 4/81 binary64) t) |
(/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) |
| Outputs |
|---|
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Compiled 9 529 to 1 675 computations (82.4% saved)
9 alts after pruning (0 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 438 | 0 | 438 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 7 | 7 |
| Total | 438 | 9 | 447 |
| 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)))))))) |
| ✓ | 51.3% | #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))) |
| ✓ | 51.5% | #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 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t)) t))) |
| ✓ | 52.4% | #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))) |
| ✓ | 51.8% | #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))) |
| ✓ | 51.5% | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) t))) |
| ✓ | 52.2% | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 #s(approx (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) (fma.f64 #s(literal 5/6 binary64) t (-.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal 2/9 binary64)))) t))) |
| ✓ | 59.9% | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 5/6 binary64)) |
| ✓ | 59.2% | #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) #s(literal 1/2 binary64)) |
Compiled 221 to 132 computations (40.3% 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)))))))) (-.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)))))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 #s(approx (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) (fma.f64 #s(literal 5/6 binary64) t (-.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)))))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #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) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #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) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #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 (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) 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:
| 11.0ms | (/.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))))))) |
| 4.0ms | (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) |
| 4.0ms | 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 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 125 to 58 computations (53.6% 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)))))))) (-.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)))))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 #s(approx (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) (fma.f64 #s(literal 5/6 binary64) t (-.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)))))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #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) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #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) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #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 (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) t))) |
| Outputs |
|---|
#s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) 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))) |
7 calls:
| 24.0ms | (+.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)))))) |
| 4.0ms | (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) |
| 3.0ms | 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 #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 |
|---|---|---|
| 99.6% | 3 | t |
| 99.6% | 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)))))))) |
| 99.6% | 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))))))) |
| 99.6% | 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)))))) |
| 99.6% | 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))))) |
| 99.6% | 2 | (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) |
| 99.6% | 2 | (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) |
Compiled 125 to 58 computations (53.6% 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)))))))) (-.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)))))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 #s(approx (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) (fma.f64 #s(literal 5/6 binary64) t (-.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)))))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #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) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #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) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) 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) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t)) 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:
| 9.0ms | (/.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))))))) |
| 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 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 |
|---|---|---|
| 99.6% | 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)))))))) |
| 99.6% | 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))))))) |
| 99.6% | 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)))))) |
| 99.6% | 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))))) |
| 99.6% | 2 | (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) |
| 99.6% | 2 | (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) |
Compiled 124 to 57 computations (54% 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)))))))) (-.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)))))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 #s(approx (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) (fma.f64 #s(literal 5/6 binary64) t (-.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)))))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) 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) (/.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)))))))) (fma.f64 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 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 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 |
|---|---|---|
| 99.6% | 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)))))))) |
| 99.6% | 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))))))) |
| 99.6% | 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)))))) |
| 99.6% | 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))))) |
| 99.6% | 2 | (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) |
| 99.6% | 2 | (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) |
Compiled 124 to 57 computations (54% 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:
| 7.0ms | (*.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 (/.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 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 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 |
|---|---|---|
| 99.5% | 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)))))))) |
| 99.5% | 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))))))) |
| 99.5% | 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)))))) |
| 99.5% | 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))))) |
| 99.5% | 2 | (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) |
| 99.5% | 2 | (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) |
Compiled 124 to 57 computations (54% 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:
| 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))))))) |
| 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 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 #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 |
|---|---|---|
| 99.4% | 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)))))))) |
| 99.4% | 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))))))) |
| 99.4% | 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)))))) |
| 99.4% | 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))))) |
| 99.4% | 2 | (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) |
| 99.4% | 2 | (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) |
Compiled 124 to 57 computations (54% 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:
| 2.0ms | (/.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))))) |
| 1.0ms | (+.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)))))) |
| 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))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 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)))))))) |
| 99.4% | 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))))))) |
| 99.4% | 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)))))) |
| 99.4% | 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))))) |
| 99.4% | 2 | (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) |
| 99.4% | 2 | (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) |
Compiled 124 to 57 computations (54% 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:
| 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)))) |
| 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 (-.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 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 |
|---|---|---|
| 59.2% | 1 | t |
| 59.2% | 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)))))))) |
| 59.2% | 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))))))) |
| 59.2% | 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)))))) |
| 59.2% | 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))))) |
| 59.2% | 1 | (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) |
| 59.2% | 1 | (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) |
Compiled 125 to 58 computations (53.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.939132746788382e-17 | 1.9999999585725254 |
Compiled 24 to 18 computations (25% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.939132746788382e-17 | 1.9999999585725254 |
Compiled 24 to 18 computations (25% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.939132746788382e-17 | 1.9999999585725254 |
Compiled 24 to 18 computations (25% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.939132746788382e-17 | 1.9999999585725254 |
Compiled 24 to 18 computations (25% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.939132746788382e-17 | 1.9999999585725254 |
Compiled 24 to 18 computations (25% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 3.939132746788382e-17 | 1.9999999585725254 |
| 8.0ms | 160× | 0 | valid |
Compiled 64 to 98 computations (-53.1% saved)
ival-div: 1.0ms (21.4% of total)ival-sub: 1.0ms (21.4% of total)ival-add: 1.0ms (21.4% of total)ival-mult: 1.0ms (21.4% 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 |
| 352× | unsub-neg-binary64--.f64-neg.f64-+.f64 |
| 218× | neg-mul-1-binary64-*.f64-neg.f64 |
| 128× | distribute-lft-neg-in-binary64-*.f64-neg.f64 |
| 114× | distribute-neg-in-binary64-+.f64-neg.f64 |
| 108× | neg-sub0-binary64--.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 557 |
| 1 | 83 | 557 |
| 2 | 132 | 557 |
| 3 | 186 | 557 |
| 4 | 274 | 557 |
| 5 | 423 | 557 |
| 6 | 617 | 557 |
| 7 | 782 | 557 |
| 8 | 900 | 557 |
| 9 | 932 | 557 |
| 10 | 945 | 557 |
| 11 | 949 | 557 |
| 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 2028240960365167/40564819207303340847894502572032 binary64)) #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) 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 2028240960365167/40564819207303340847894502572032 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 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t)) 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 2028240960365167/40564819207303340847894502572032 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 #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)))))))) (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 2028240960365167/40564819207303340847894502572032 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 2028240960365167/40564819207303340847894502572032 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 (/.f64 #s(literal 1 binary64) t) #s(literal 1 binary64)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 (/.f64 #s(literal 1 binary64) t) #s(literal 1 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 2028240960365167/40564819207303340847894502572032 binary64)) #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) 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 (/.f64 #s(literal 1 binary64) t) #s(literal 1 binary64))) #s(literal 2028240960365167/40564819207303340847894502572032 binary64)) #s(approx (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))) (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)) t) 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 2028240960365167/40564819207303340847894502572032 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 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t)) 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 (/.f64 #s(literal 1 binary64) t) #s(literal 1 binary64))) #s(literal 2028240960365167/40564819207303340847894502572032 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 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t)) 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 2028240960365167/40564819207303340847894502572032 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 #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)))))))) (fma.f64 t t #s(literal 1/2 binary64)))) |
(if (<=.f64 (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 (/.f64 #s(literal 1 binary64) t) #s(literal 1 binary64))) #s(literal 2028240960365167/40564819207303340847894502572032 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 #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)))))))) (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 2028240960365167/40564819207303340847894502572032 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 (/.f64 #s(literal 1 binary64) t) #s(literal 1 binary64))) #s(literal 2028240960365167/40564819207303340847894502572032 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 2028240960365167/40564819207303340847894502572032 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 (/.f64 #s(literal 1 binary64) t) #s(literal 1 binary64))) #s(literal 2028240960365167/40564819207303340847894502572032 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))) |
(if (<=.f64 (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 (/.f64 #s(literal 1 binary64) t) #s(literal 1 binary64))) #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)) |
| 13 752× | lower-fma.f64 |
| 13 752× | lower-fma.f32 |
| 6 264× | lower-fma.f64 |
| 6 264× | lower-fma.f32 |
| 5 408× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 962 |
| 1 | 182 | 914 |
| 2 | 410 | 836 |
| 3 | 884 | 836 |
| 4 | 1720 | 814 |
| 5 | 4269 | 814 |
| 0 | 8327 | 776 |
| 0 | 35 | 182 |
| 0 | 47 | 162 |
| 1 | 279 | 162 |
| 2 | 2492 | 162 |
| 0 | 8356 | 162 |
| 0 | 140 | 576 |
| 1 | 418 | 558 |
| 2 | 972 | 528 |
| 3 | 2233 | 516 |
| 4 | 6145 | 516 |
| 0 | 8585 | 489 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 246 to 112 computations (54.5% saved)
Compiled 418 to 126 computations (69.9% saved)
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