Time bar (total: 10.0s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 50% | 50% | 0% | 3 |
| 50% | 50% | 0% | 4 |
| 50% | 50% | 0% | 5 |
| 50% | 50% | 0% | 6 |
| 50% | 50% | 0% | 7 |
| 50% | 50% | 0% | 8 |
| 50% | 50% | 0% | 9 |
| 50% | 50% | 0% | 10 |
| 50% | 50% | 0% | 11 |
| 50% | 49.9% | 0% | 12 |
Compiled 31 to 27 computations (12.9% saved)
| 1.2s | 8256× | body | 256 | valid |
| 2× | egg-herbie |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))) |
| Outputs |
|---|
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))) |
(+.f64 1 (/.f64 1 (-.f64 -2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2)))) |
Compiled 31 to 27 computations (12.9% saved)
| 1× | egg-herbie |
| Inputs |
|---|
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))) |
| Outputs |
|---|
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))) |
(+.f64 1 (/.f64 1 (-.f64 -2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2)))) |
Compiled 49 to 43 computations (12.2% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 2 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))) |
Compiled 30 to 26 computations (13.3% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))) | |
| 0.0b | (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))) | |
| 0.0b | (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))) | |
| 0.0b | (+.f64 1 (/.f64 1 t)) | |
| ✓ | 0.0b | (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))) |
| ✓ | 0.0b | (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))) |
| ✓ | 0.0b | (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))) |
| ✓ | 2.7b | (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) |
Compiled 139 to 115 computations (17.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | 0 | (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) |
| 0.0ms | t | @ | inf | (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))) |
| 0.0ms | t | @ | inf | (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))) |
| 0.0ms | t | @ | inf | (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) |
| 0.0ms | t | @ | -inf | (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) |
| 1× | batch-egg-rewrite |
| 65× | egg-rr |
| 53× | egg-rr |
| 47× | egg-rr |
| 35× | egg-rr |
| Inputs |
|---|
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) |
(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))) |
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))) |
(/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))) |
| Outputs |
|---|
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(+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 0 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2))) (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2))) (neg.f64 (pow.f64 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2)) (neg.f64 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2)) (neg.f64 1/3)) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2)) (neg.f64 1/3)) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2)) 3) (neg.f64 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (-.f64 -2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2)) -3)))))) |
| 1× | egg-herbie |
| Inputs |
|---|
(*.f64 2 t) |
(+.f64 (*.f64 2 t) (*.f64 -2 (pow.f64 t 2))) |
(+.f64 (*.f64 2 t) (+.f64 (*.f64 -2 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 3)))) |
(+.f64 (*.f64 2 t) (+.f64 (*.f64 -2 (pow.f64 t 2)) (+.f64 (*.f64 -2 (pow.f64 t 4)) (*.f64 2 (pow.f64 t 3))))) |
2 |
(-.f64 2 (*.f64 2 (/.f64 1 t))) |
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (*.f64 2 (/.f64 1 t))) |
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t)))) |
2 |
(-.f64 2 (*.f64 2 (/.f64 1 t))) |
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (*.f64 2 (/.f64 1 t))) |
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t)))) |
(*.f64 4 (pow.f64 t 2)) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2)))) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 -16 (pow.f64 t 5)) (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))))) |
4 |
(-.f64 4 (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3))))) |
4 |
(-.f64 4 (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3))))) |
1/2 |
(+.f64 1/2 (pow.f64 t 2)) |
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2))) |
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (pow.f64 t 4) (pow.f64 t 2)))) |
5/6 |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (*.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t))) |
5/6 |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (*.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t))) |
1/2 |
(+.f64 (*.f64 -1 (pow.f64 t 2)) 1/2) |
(+.f64 (*.f64 -1 (pow.f64 t 2)) (+.f64 1/2 (*.f64 2 (pow.f64 t 3)))) |
(+.f64 (*.f64 -1 (pow.f64 t 2)) (+.f64 1/2 (+.f64 (*.f64 2 (pow.f64 t 3)) (*.f64 -1 (pow.f64 t 4))))) |
1/6 |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) |
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 4/81 (/.f64 1 (pow.f64 t 3))))) |
1/6 |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) |
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 4/81 (/.f64 1 (pow.f64 t 3))))) |
| Outputs |
|---|
(*.f64 2 t) |
(*.f64 t 2) |
(+.f64 (*.f64 2 t) (*.f64 -2 (pow.f64 t 2))) |
(fma.f64 2 t (*.f64 -2 (*.f64 t t))) |
(+.f64 (*.f64 2 t) (+.f64 (*.f64 -2 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 3)))) |
(fma.f64 2 t (fma.f64 (pow.f64 t 3) 2 (*.f64 -2 (*.f64 t t)))) |
(+.f64 (*.f64 2 t) (+.f64 (*.f64 -2 (pow.f64 t 2)) (+.f64 (*.f64 -2 (pow.f64 t 4)) (*.f64 2 (pow.f64 t 3))))) |
(fma.f64 2 t (+.f64 (*.f64 -2 (fma.f64 t t (pow.f64 t 4))) (*.f64 2 (pow.f64 t 3)))) |
2 |
(-.f64 2 (*.f64 2 (/.f64 1 t))) |
(+.f64 2 (/.f64 -2 t)) |
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (*.f64 2 (/.f64 1 t))) |
(+.f64 (fma.f64 (pow.f64 t -2) 2 2) (/.f64 -2 t)) |
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t)))) |
(+.f64 2 (*.f64 2 (-.f64 (pow.f64 t -2) (+.f64 (pow.f64 t -3) (/.f64 1 t))))) |
2 |
(-.f64 2 (*.f64 2 (/.f64 1 t))) |
(+.f64 2 (/.f64 -2 t)) |
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (*.f64 2 (/.f64 1 t))) |
(+.f64 (fma.f64 (pow.f64 t -2) 2 2) (/.f64 -2 t)) |
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t)))) |
(+.f64 2 (*.f64 2 (-.f64 (pow.f64 t -2) (+.f64 (pow.f64 t -3) (/.f64 1 t))))) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 4 (*.f64 t t)) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))) |
(fma.f64 -8 (pow.f64 t 3) (*.f64 4 (*.f64 t t))) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2)))) |
(fma.f64 (pow.f64 t 3) -8 (fma.f64 12 (pow.f64 t 4) (*.f64 4 (*.f64 t t)))) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 -16 (pow.f64 t 5)) (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))))) |
(fma.f64 -8 (pow.f64 t 3) (fma.f64 (pow.f64 t 5) -16 (fma.f64 12 (pow.f64 t 4) (*.f64 4 (*.f64 t t))))) |
4 |
(-.f64 4 (*.f64 8 (/.f64 1 t))) |
(+.f64 4 (/.f64 -8 t)) |
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(+.f64 (fma.f64 12 (pow.f64 t -2) 4) (/.f64 -8 t)) |
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3))))) |
(-.f64 (fma.f64 12 (pow.f64 t -2) 4) (fma.f64 16 (pow.f64 t -3) (/.f64 8 t))) |
4 |
(-.f64 4 (*.f64 8 (/.f64 1 t))) |
(+.f64 4 (/.f64 -8 t)) |
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(+.f64 (fma.f64 12 (pow.f64 t -2) 4) (/.f64 -8 t)) |
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3))))) |
(-.f64 (fma.f64 12 (pow.f64 t -2) 4) (fma.f64 16 (pow.f64 t -3) (/.f64 8 t))) |
1/2 |
(+.f64 1/2 (pow.f64 t 2)) |
(fma.f64 t t 1/2) |
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2))) |
(fma.f64 -2 (pow.f64 t 3) (fma.f64 t t 1/2)) |
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (pow.f64 t 4) (pow.f64 t 2)))) |
(+.f64 (fma.f64 -2 (pow.f64 t 3) 1/2) (fma.f64 t t (pow.f64 t 4))) |
5/6 |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t))) |
(+.f64 (fma.f64 1/27 (pow.f64 t -2) 5/6) (/.f64 -2/9 t)) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (*.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t))) |
(fma.f64 1/27 (pow.f64 t -2) (+.f64 (fma.f64 (pow.f64 t -3) 4/81 5/6) (/.f64 -2/9 t))) |
5/6 |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t))) |
(+.f64 (fma.f64 1/27 (pow.f64 t -2) 5/6) (/.f64 -2/9 t)) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (*.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t))) |
(fma.f64 1/27 (pow.f64 t -2) (+.f64 (fma.f64 (pow.f64 t -3) 4/81 5/6) (/.f64 -2/9 t))) |
1/2 |
(+.f64 (*.f64 -1 (pow.f64 t 2)) 1/2) |
(-.f64 1/2 (*.f64 t t)) |
(+.f64 (*.f64 -1 (pow.f64 t 2)) (+.f64 1/2 (*.f64 2 (pow.f64 t 3)))) |
(-.f64 (fma.f64 (pow.f64 t 3) 2 1/2) (*.f64 t t)) |
(+.f64 (*.f64 -1 (pow.f64 t 2)) (+.f64 1/2 (+.f64 (*.f64 2 (pow.f64 t 3)) (*.f64 -1 (pow.f64 t 4))))) |
(-.f64 (-.f64 (fma.f64 (pow.f64 t 3) 2 1/2) (pow.f64 t 4)) (*.f64 t t)) |
1/6 |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (/.f64 2/9 t)) |
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) |
(+.f64 (+.f64 1/6 (/.f64 2/9 t)) (/.f64 -1/27 (*.f64 t t))) |
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 4/81 (/.f64 1 (pow.f64 t 3))))) |
(-.f64 (+.f64 1/6 (/.f64 2/9 t)) (fma.f64 (pow.f64 t -3) 4/81 (/.f64 1/27 (*.f64 t t)))) |
1/6 |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (/.f64 2/9 t)) |
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) |
(+.f64 (+.f64 1/6 (/.f64 2/9 t)) (/.f64 -1/27 (*.f64 t t))) |
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 4/81 (/.f64 1 (pow.f64 t 3))))) |
(-.f64 (+.f64 1/6 (/.f64 2/9 t)) (fma.f64 (pow.f64 t -3) 4/81 (/.f64 1/27 (*.f64 t t)))) |
Compiled 11441 to 9809 computations (14.3% saved)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 328 | 9 | 337 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 328 | 10 | 338 |
| Status | Error | Program |
|---|---|---|
| ▶ | 29.6b | (-.f64 1 (-.f64 1/2 (*.f64 t t))) |
| ✓ | 0.0b | (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))) |
| ▶ | 33.1b | (+.f64 5/6 (/.f64 -2/9 t)) |
| ▶ | 33.3b | (-.f64 1 (+.f64 (+.f64 1/6 (/.f64 2/9 t)) (/.f64 -1/27 (*.f64 t t)))) |
| 27.7b | 5/6 | |
| 24.0b | (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t 2) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))) | |
| ▶ | 24.0b | (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 4 (*.f64 t t))))) |
| 0.0b | (-.f64 1 (/.f64 1 (+.f64 2 (pow.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 6) 1/3)))) | |
| 24.5b | 1/2 | |
| ▶ | 0b | (/.f64 (+.f64 (-.f64 -2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2)) 1) (-.f64 -2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2))) |
Compiled 270 to 232 computations (14.1% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 2.7b | (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) | |
| 0.0b | (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2) | |
| 0.0b | (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1)) | |
| 0.0b | (+.f64 (/.f64 -1 t) -1) | |
| ✓ | 0.0b | (+.f64 (/.f64 -1 t) -1) |
| ✓ | 0.0b | (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1)) |
| ✓ | 0.0b | (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2) |
| ✓ | 2.7b | (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) |
Compiled 115 to 97 computations (15.7% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | t | @ | inf | (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1)) |
| 0.0ms | t | @ | 0 | (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) |
| 0.0ms | t | @ | 0 | (+.f64 (/.f64 -1 t) -1) |
| 0.0ms | t | @ | inf | (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) |
| 0.0ms | t | @ | -inf | (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) |
| 1× | batch-egg-rewrite |
| 85× | egg-rr |
| 69× | egg-rr |
| 68× | egg-rr |
| 50× | egg-rr |
| Inputs |
|---|
(+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) |
(pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2) |
(/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1)) |
(+.f64 (/.f64 -1 t) -1) |
| Outputs |
|---|
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2 (*.f64 t (/.f64 (-.f64 -1 t) t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (/.f64 2 t) (cbrt.f64 (/.f64 (-.f64 -1 t) t))) 1) (cbrt.f64 (pow.f64 (/.f64 (+.f64 t 1) t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 t) (cbrt.f64 (pow.f64 (/.f64 (+.f64 t 1) t) 2))) (cbrt.f64 (/.f64 (-.f64 -1 t) t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 -2 t) (cbrt.f64 (/.f64 (-.f64 -1 t) t))) (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 t 1) t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 t) -1) (/.f64 (+.f64 t 1) t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 t) (/.f64 (-.f64 -1 t) t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 t) (-.f64 -1 (pow.f64 t -3))) (/.f64 1 (+.f64 (pow.f64 t -2) (/.f64 (+.f64 t -1) t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 -2 (/.f64 (-.f64 -1 t) t)) (cbrt.f64 (neg.f64 t))) (cbrt.f64 (*.f64 t t)))))) 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (*.f64 t (/.f64 (-.f64 -1 t) t)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (neg.f64 t) (/.f64 (-.f64 -1 t) t)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (/.f64 2 t) (cbrt.f64 (/.f64 (-.f64 -1 t) t)))) (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 t 1) t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 2 t) (/.f64 (-.f64 -1 t) t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 2 t) (/.f64 (-.f64 -1 t) t))) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 2 t) (/.f64 (-.f64 -1 t) t))) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 2 t) (/.f64 (-.f64 -1 t) t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 2 t) (/.f64 (-.f64 -1 t) t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 2 t) (/.f64 (-.f64 -1 t) t)) 3)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 t) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (/.f64 -1 t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 -1 t) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 -1 t) t) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 -1 t) t) (*.f64 (/.f64 (-.f64 -1 t) t) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 -1 t) t) 0) (/.f64 (-.f64 -1 t) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 -1 t) t) (*.f64 0 (/.f64 (-.f64 -1 t) t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 (-.f64 -1 t) t)) (/.f64 (-.f64 -1 t) t))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1 t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 -1 t) t) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (neg.f64 (pow.f64 t -3)) (+.f64 (pow.f64 t -2) (/.f64 (+.f64 t -1) t))) (/.f64 1 (+.f64 (pow.f64 t -2) (/.f64 (+.f64 t -1) t))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (+.f64 t 1) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 -1 t) t)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 t 1) t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 t 1) t) 2)) (cbrt.f64 (/.f64 (-.f64 -1 t) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 (pow.f64 t -3)) (/.f64 1 (+.f64 (pow.f64 t -2) (/.f64 (+.f64 t -1) t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 -1 t) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1 t) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (+.f64 t 1) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 t 1) t) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 t -2) (/.f64 (+.f64 t -1) t))) (-.f64 -1 (pow.f64 t -3)))))) 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t))) (cbrt.f64 (/.f64 -1 t))) (cbrt.f64 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 t 1) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 t) -1) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cbrt.f64 (*.f64 t t)) (cbrt.f64 (/.f64 1 t))) (neg.f64 (cbrt.f64 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 t) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (neg.f64 t)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cbrt.f64 (/.f64 -1 t)) (cbrt.f64 (*.f64 t t))) (cbrt.f64 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 (cbrt.f64 (*.f64 t t))) (cbrt.f64 (/.f64 1 t))) (cbrt.f64 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 t -1) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 t) 1) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cbrt.f64 (*.f64 t t)) (cbrt.f64 (/.f64 -1 t))) (neg.f64 (cbrt.f64 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 t) t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 -1 t) t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 -1 t) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 t) t)) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 t) t)) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 t 1) t))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 t) t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 -1 t) t) 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 t) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -1 t)) (cbrt.f64 (pow.f64 t -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1 t)) (neg.f64 (cbrt.f64 (pow.f64 t -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 t) -1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 t -2)) (cbrt.f64 (/.f64 -1 t)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 0 (/.f64 (-.f64 -1 t) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 0 (/.f64 (-.f64 -1 t) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 3 (/.f64 (-.f64 -1 t) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1 t) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 1 (/.f64 -1 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 -1 (/.f64 -1 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 t) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 1 (/.f64 (-.f64 -1 t) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 0 (/.f64 (-.f64 -1 t) t)))))) |
| 1× | egg-herbie |
| Inputs |
|---|
(*.f64 2 t) |
(+.f64 (*.f64 2 t) (*.f64 -2 (pow.f64 t 2))) |
(+.f64 (*.f64 2 t) (+.f64 (*.f64 -2 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 3)))) |
(+.f64 (*.f64 2 t) (+.f64 (*.f64 -2 (pow.f64 t 2)) (+.f64 (*.f64 -2 (pow.f64 t 4)) (*.f64 2 (pow.f64 t 3))))) |
2 |
(-.f64 2 (*.f64 2 (/.f64 1 t))) |
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (*.f64 2 (/.f64 1 t))) |
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t)))) |
2 |
(-.f64 2 (*.f64 2 (/.f64 1 t))) |
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (*.f64 2 (/.f64 1 t))) |
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t)))) |
(*.f64 4 (pow.f64 t 2)) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2)))) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 -16 (pow.f64 t 5)) (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))))) |
4 |
(-.f64 4 (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3))))) |
4 |
(-.f64 4 (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3))))) |
-2 |
(-.f64 (*.f64 2 t) 2) |
(-.f64 (+.f64 (*.f64 2 t) (*.f64 -2 (pow.f64 t 2))) 2) |
(-.f64 (+.f64 (*.f64 2 t) (+.f64 (*.f64 -2 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 3)))) 2) |
(/.f64 -2 t) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) (*.f64 2 (/.f64 1 t))) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 4))) (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t)))) |
(/.f64 -2 t) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) (*.f64 2 (/.f64 1 t))) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 4))) (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t)))) |
(/.f64 -1 t) |
(neg.f64 (+.f64 1 (/.f64 1 t))) |
(neg.f64 (+.f64 1 (/.f64 1 t))) |
(neg.f64 (+.f64 1 (/.f64 1 t))) |
-1 |
(neg.f64 (+.f64 1 (/.f64 1 t))) |
(neg.f64 (+.f64 1 (/.f64 1 t))) |
(neg.f64 (+.f64 1 (/.f64 1 t))) |
-1 |
(neg.f64 (+.f64 1 (/.f64 1 t))) |
(neg.f64 (+.f64 1 (/.f64 1 t))) |
(neg.f64 (+.f64 1 (/.f64 1 t))) |
| Outputs |
|---|
(*.f64 2 t) |
(+.f64 (*.f64 2 t) (*.f64 -2 (pow.f64 t 2))) |
(fma.f64 2 t (*.f64 -2 (*.f64 t t))) |
(+.f64 (*.f64 2 t) (+.f64 (*.f64 -2 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 3)))) |
(fma.f64 t 2 (fma.f64 (pow.f64 t 3) 2 (*.f64 -2 (*.f64 t t)))) |
(+.f64 (*.f64 2 t) (+.f64 (*.f64 -2 (pow.f64 t 2)) (+.f64 (*.f64 -2 (pow.f64 t 4)) (*.f64 2 (pow.f64 t 3))))) |
(fma.f64 2 t (+.f64 (*.f64 -2 (+.f64 (*.f64 t t) (pow.f64 t 4))) (*.f64 2 (pow.f64 t 3)))) |
2 |
(-.f64 2 (*.f64 2 (/.f64 1 t))) |
(+.f64 2 (/.f64 -2 t)) |
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (*.f64 2 (/.f64 1 t))) |
(+.f64 (fma.f64 2 (pow.f64 t -2) 2) (/.f64 -2 t)) |
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t)))) |
(+.f64 2 (*.f64 2 (-.f64 (pow.f64 t -2) (+.f64 (pow.f64 t -3) (/.f64 1 t))))) |
2 |
(-.f64 2 (*.f64 2 (/.f64 1 t))) |
(+.f64 2 (/.f64 -2 t)) |
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (*.f64 2 (/.f64 1 t))) |
(+.f64 (fma.f64 2 (pow.f64 t -2) 2) (/.f64 -2 t)) |
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t)))) |
(+.f64 2 (*.f64 2 (-.f64 (pow.f64 t -2) (+.f64 (pow.f64 t -3) (/.f64 1 t))))) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 4 (*.f64 t t)) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))) |
(fma.f64 -8 (pow.f64 t 3) (*.f64 4 (*.f64 t t))) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2)))) |
(fma.f64 -8 (pow.f64 t 3) (fma.f64 12 (pow.f64 t 4) (*.f64 4 (*.f64 t t)))) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 -16 (pow.f64 t 5)) (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))))) |
(fma.f64 -8 (pow.f64 t 3) (fma.f64 (pow.f64 t 5) -16 (fma.f64 12 (pow.f64 t 4) (*.f64 4 (*.f64 t t))))) |
4 |
(-.f64 4 (*.f64 8 (/.f64 1 t))) |
(+.f64 4 (/.f64 -8 t)) |
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(+.f64 (fma.f64 12 (pow.f64 t -2) 4) (/.f64 -8 t)) |
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3))))) |
(-.f64 (fma.f64 12 (pow.f64 t -2) 4) (fma.f64 16 (pow.f64 t -3) (/.f64 8 t))) |
4 |
(-.f64 4 (*.f64 8 (/.f64 1 t))) |
(+.f64 4 (/.f64 -8 t)) |
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(+.f64 (fma.f64 12 (pow.f64 t -2) 4) (/.f64 -8 t)) |
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3))))) |
(-.f64 (fma.f64 12 (pow.f64 t -2) 4) (fma.f64 16 (pow.f64 t -3) (/.f64 8 t))) |
-2 |
(-.f64 (*.f64 2 t) 2) |
(fma.f64 2 t -2) |
(-.f64 (+.f64 (*.f64 2 t) (*.f64 -2 (pow.f64 t 2))) 2) |
(fma.f64 t 2 (fma.f64 -2 (*.f64 t t) -2)) |
(-.f64 (+.f64 (*.f64 2 t) (+.f64 (*.f64 -2 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 3)))) 2) |
(+.f64 (fma.f64 (pow.f64 t 3) 2 (*.f64 -2 (*.f64 t t))) (fma.f64 2 t -2)) |
(/.f64 -2 t) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) (*.f64 2 (/.f64 1 t))) |
(fma.f64 2 (pow.f64 t -2) (/.f64 -2 t)) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t)))) |
(*.f64 2 (-.f64 (pow.f64 t -2) (+.f64 (pow.f64 t -3) (/.f64 1 t)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 4))) (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t)))) |
(*.f64 2 (-.f64 (+.f64 (pow.f64 t -4) (pow.f64 t -2)) (+.f64 (pow.f64 t -3) (/.f64 1 t)))) |
(/.f64 -2 t) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) (*.f64 2 (/.f64 1 t))) |
(fma.f64 2 (pow.f64 t -2) (/.f64 -2 t)) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t)))) |
(*.f64 2 (-.f64 (pow.f64 t -2) (+.f64 (pow.f64 t -3) (/.f64 1 t)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 4))) (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t)))) |
(*.f64 2 (-.f64 (+.f64 (pow.f64 t -4) (pow.f64 t -2)) (+.f64 (pow.f64 t -3) (/.f64 1 t)))) |
(/.f64 -1 t) |
(neg.f64 (+.f64 1 (/.f64 1 t))) |
(+.f64 -1 (/.f64 -1 t)) |
(neg.f64 (+.f64 1 (/.f64 1 t))) |
(+.f64 -1 (/.f64 -1 t)) |
(neg.f64 (+.f64 1 (/.f64 1 t))) |
(+.f64 -1 (/.f64 -1 t)) |
-1 |
(neg.f64 (+.f64 1 (/.f64 1 t))) |
(+.f64 -1 (/.f64 -1 t)) |
(neg.f64 (+.f64 1 (/.f64 1 t))) |
(+.f64 -1 (/.f64 -1 t)) |
(neg.f64 (+.f64 1 (/.f64 1 t))) |
(+.f64 -1 (/.f64 -1 t)) |
-1 |
(neg.f64 (+.f64 1 (/.f64 1 t))) |
(+.f64 -1 (/.f64 -1 t)) |
(neg.f64 (+.f64 1 (/.f64 1 t))) |
(+.f64 -1 (/.f64 -1 t)) |
(neg.f64 (+.f64 1 (/.f64 1 t))) |
(+.f64 -1 (/.f64 -1 t)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (/.f64 -2/9 t) | |
| 0.0b | (+.f64 5/6 (/.f64 -2/9 t)) | |
| ✓ | 0.0b | (+.f64 5/6 (/.f64 -2/9 t)) |
| ✓ | 0.3b | (/.f64 -2/9 t) |
Compiled 12 to 9 computations (25% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | -inf | (/.f64 -2/9 t) |
| 0.0ms | t | @ | 0 | (/.f64 -2/9 t) |
| 0.0ms | t | @ | inf | (/.f64 -2/9 t) |
| 0.0ms | t | @ | 0 | (+.f64 5/6 (/.f64 -2/9 t)) |
| 0.0ms | t | @ | inf | (+.f64 5/6 (/.f64 -2/9 t)) |
| 1× | batch-egg-rewrite |
| 71× | egg-rr |
| 57× | egg-rr |
| Inputs |
|---|
(/.f64 -2/9 t) |
(+.f64 5/6 (/.f64 -2/9 t)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 5/6 (/.f64 -2/9 t)) (*.f64 (+.f64 5/6 (/.f64 -2/9 t)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 5/6 (/.f64 -2/9 t)) 0) (+.f64 5/6 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 5/6 (/.f64 -2/9 t)) (*.f64 0 (+.f64 5/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (+.f64 5/6 (/.f64 -2/9 t))) (+.f64 5/6 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 5/6 (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2/9 t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 5/6 (/.f64 2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 5/6 (/.f64 -2/9 t))) (cbrt.f64 (pow.f64 (+.f64 5/6 (/.f64 -2/9 t)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 5/6 (/.f64 -2/9 t)) 2)) (cbrt.f64 (+.f64 5/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 -5/6 (/.f64 2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -5/6 (/.f64 2/9 t)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 -8/729 (pow.f64 t -3) 125/216)) (/.f64 1 (+.f64 (neg.f64 25/36) (/.f64 (-.f64 -5/27 (/.f64 4/81 t)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 25/36 (/.f64 (-.f64 (/.f64 4/81 t) -5/27) t)))) (/.f64 (fma.f64 -8/729 (pow.f64 t -3) 125/216) (pow.f64 (cbrt.f64 (+.f64 25/36 (/.f64 (-.f64 (/.f64 4/81 t) -5/27) t))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (fma.f64 -8/729 (pow.f64 t -3) 125/216)) 1) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -8/729 (pow.f64 t -3) 125/216)) 2) (+.f64 25/36 (/.f64 (-.f64 (/.f64 4/81 t) -5/27) t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 25/36 (/.f64 (-.f64 (/.f64 4/81 t) -5/27) t)) (cbrt.f64 (+.f64 25/36 (/.f64 (-.f64 (/.f64 4/81 t) -5/27) t)))) (/.f64 (+.f64 5/6 (/.f64 -2/9 t)) (pow.f64 (cbrt.f64 (+.f64 25/36 (/.f64 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(/.f64 (+.f64 5/6 (/.f64 -2/9 t)) (+.f64 25/36 (/.f64 (-.f64 (/.f64 4/81 t) -5/27) t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1953125/10077696 (pow.f64 (pow.f64 (/.f64 -2/9 t) 3) 3)) (/.f64 1 (+.f64 25/36 (/.f64 (-.f64 (/.f64 4/81 t) -5/27) t)))) (-.f64 (+.f64 15625/46656 (pow.f64 (/.f64 -2/9 t) 6)) (pow.f64 (/.f64 -5/27 t) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 -8/729 (pow.f64 t -3) 125/216) (cbrt.f64 (+.f64 25/36 (/.f64 (-.f64 (/.f64 4/81 t) -5/27) t)))) (pow.f64 (cbrt.f64 (+.f64 25/36 (/.f64 (-.f64 (/.f64 4/81 t) -5/27) t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (fma.f64 -8/729 (pow.f64 t -3) 125/216)) 1) (*.f64 (+.f64 (neg.f64 25/36) (/.f64 (-.f64 -5/27 (/.f64 4/81 t)) t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1953125/10077696 (pow.f64 (pow.f64 (/.f64 -2/9 t) 3) 3)) 1) (*.f64 (-.f64 (+.f64 15625/46656 (pow.f64 (/.f64 -2/9 t) 6)) (pow.f64 (/.f64 -5/27 t) 3)) (+.f64 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(neg.f64 25/36) (/.f64 (-.f64 -5/27 (/.f64 4/81 t)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 5/6 (/.f64 -2/9 t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 5/6 (/.f64 -2/9 t))) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 5/6 (/.f64 -2/9 t))) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 5/6 (/.f64 -2/9 t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 5/6 (/.f64 -2/9 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 -5/6 (/.f64 2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 -8/729 (pow.f64 t -3) 125/216) (+.f64 (neg.f64 25/36) (/.f64 (-.f64 -5/27 (/.f64 4/81 t)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 5/6 (/.f64 -2/9 t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 5/6) (cbrt.f64 25/36) (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 5/6) (sqrt.f64 5/6) (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 5/6)) (neg.f64 (sqrt.f64 5/6)) (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 25/36) (cbrt.f64 5/6) (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 -5/6 (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -2/9 t)) (cbrt.f64 (/.f64 4/81 (*.f64 t t))) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 5/6 (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -2/9 t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2/9 (/.f64 1 t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 -2/9) (/.f64 (cbrt.f64 4/81) t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 2/9 t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2/9 t) 1 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 t) -2/9 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4/81 (*.f64 t t))) (cbrt.f64 (/.f64 -2/9 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1 t)) (cbrt.f64 (/.f64 -8/729 (*.f64 t t))) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/9 (/.f64 -1 t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 5/6 1 (/.f64 -2/9 t)))))) |
| 1× | egg-herbie |
| Inputs |
|---|
(/.f64 -2/9 t) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
5/6 |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
5/6 |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
| Outputs |
|---|
(/.f64 -2/9 t) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 5/6 (/.f64 -2/9 t)) |
5/6 |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 5/6 (/.f64 -2/9 t)) |
5/6 |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 5/6 (/.f64 -2/9 t)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (-.f64 1 (-.f64 1/2 (*.f64 t t))) | |
| ✓ | 0.0b | (-.f64 1 (-.f64 1/2 (*.f64 t t))) |
Compiled 19 to 10 computations (47.4% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | t | @ | inf | (-.f64 1 (-.f64 1/2 (*.f64 t t))) |
| 0.0ms | t | @ | 0 | (-.f64 1 (-.f64 1/2 (*.f64 t t))) |
| 0.0ms | t | @ | -inf | (-.f64 1 (-.f64 1/2 (*.f64 t t))) |
| 1× | batch-egg-rewrite |
| 106× | egg-rr |
| Inputs |
|---|
(-.f64 1 (-.f64 1/2 (*.f64 t t))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 t t 1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 t t 1) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/2 (fma.f64 t t 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 t t -1) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 t t 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 1/8 (fma.f64 (*.f64 t t) (fma.f64 t t 1/2) 1/4))) (/.f64 (pow.f64 t 6) (fma.f64 (*.f64 t t) (fma.f64 t t 1/2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 t t 1/2) (*.f64 (fma.f64 t t 1/2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 t t 1/2) 0) (fma.f64 t t 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 t t 1/2) (*.f64 0 (fma.f64 t t 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (fma.f64 t t 1/2)) (fma.f64 t t 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/2 (*.f64 (fma.f64 t (neg.f64 t) 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#<rule egg-rr> (2) ((x fma.f64 1 1 (fma.f64 t t -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 1/2 (*.f64 t t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 1 (*.f64 t t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 t t 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 t t)) (cbrt.f64 (pow.f64 t 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 t 4)) (cbrt.f64 (*.f64 t t)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 t) (*.f64 (cbrt.f64 (*.f64 t t)) t) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (neg.f64 (*.f64 t t)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 t) (neg.f64 t) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 t t) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 t t) 1 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 1/2) t) (-.f64 t (sqrt.f64 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (fma.f64 (neg.f64 t) t 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 (neg.f64 t) t 1/2)) (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 t t -1/2) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 t t -1/2)) (cbrt.f64 (pow.f64 (fma.f64 t t -1/2) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 t t -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 0 (fma.f64 t t 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 1 (fma.f64 t t 1/2)))))) |
| 1× | egg-herbie |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (pow.f64 t 2)) |
(+.f64 1/2 (pow.f64 t 2)) |
(+.f64 1/2 (pow.f64 t 2)) |
(pow.f64 t 2) |
(+.f64 1/2 (pow.f64 t 2)) |
(+.f64 1/2 (pow.f64 t 2)) |
(+.f64 1/2 (pow.f64 t 2)) |
(pow.f64 t 2) |
(+.f64 1/2 (pow.f64 t 2)) |
(+.f64 1/2 (pow.f64 t 2)) |
(+.f64 1/2 (pow.f64 t 2)) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (pow.f64 t 2)) |
(fma.f64 t t 1/2) |
(+.f64 1/2 (pow.f64 t 2)) |
(fma.f64 t t 1/2) |
(+.f64 1/2 (pow.f64 t 2)) |
(fma.f64 t t 1/2) |
(pow.f64 t 2) |
(*.f64 t t) |
(+.f64 1/2 (pow.f64 t 2)) |
(fma.f64 t t 1/2) |
(+.f64 1/2 (pow.f64 t 2)) |
(fma.f64 t t 1/2) |
(+.f64 1/2 (pow.f64 t 2)) |
(fma.f64 t t 1/2) |
(pow.f64 t 2) |
(*.f64 t t) |
(+.f64 1/2 (pow.f64 t 2)) |
(fma.f64 t t 1/2) |
(+.f64 1/2 (pow.f64 t 2)) |
(fma.f64 t t 1/2) |
(+.f64 1/2 (pow.f64 t 2)) |
(fma.f64 t t 1/2) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.8b | (/.f64 1 (+.f64 2 (*.f64 4 (*.f64 t t)))) | |
| 0.0b | (*.f64 4 (*.f64 t t)) | |
| ✓ | 0.0b | (*.f64 4 (*.f64 t t)) |
| ✓ | 0.8b | (/.f64 1 (+.f64 2 (*.f64 4 (*.f64 t t)))) |
Compiled 40 to 25 computations (37.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | t | @ | -inf | (*.f64 4 (*.f64 t t)) |
| 1.0ms | t | @ | 0 | (*.f64 4 (*.f64 t t)) |
| 1.0ms | t | @ | inf | (/.f64 1 (+.f64 2 (*.f64 4 (*.f64 t t)))) |
| 0.0ms | t | @ | 0 | (/.f64 1 (+.f64 2 (*.f64 4 (*.f64 t t)))) |
| 0.0ms | t | @ | inf | (*.f64 4 (*.f64 t t)) |
| 1× | batch-egg-rewrite |
| 51× | egg-rr |
| 43× | egg-rr |
| Inputs |
|---|
(/.f64 1 (+.f64 2 (*.f64 4 (*.f64 t t)))) |
(*.f64 4 (*.f64 t t)) |
| Outputs |
|---|
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-2))) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 t t) 4 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (*.f64 t t) 4 2) (neg.f64 1/3)) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 t t) 4 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 t t) 4 2) -2)) (pow.f64 (fma.f64 (*.f64 t t) 4 2) (neg.f64 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1 (fma.f64 (*.f64 t t) 4 2))) (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 t t) 4 2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 (*.f64 t t) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 (*.f64 t t) 4 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 t t) 4 2) -2))) (cbrt.f64 (/.f64 -1 (fma.f64 (*.f64 t t) 4 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (*.f64 t t) 4 2))) 2)) (/.f64 (pow.f64 (fma.f64 (*.f64 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(*.f64 t t) 4 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 t t) 4 2) -2)) (cbrt.f64 (fma.f64 (*.f64 t t) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 t t) 4 2) -2)) -1) (cbrt.f64 (+.f64 -2 (*.f64 -4 (*.f64 t t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (fma.f64 (*.f64 t t) 4 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 t t) 4 2) -2))) (cbrt.f64 (+.f64 -2 (*.f64 -4 (*.f64 t t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (fma.f64 (pow.f64 t 6) 64 8)) (/.f64 1 (fma.f64 (pow.f64 t 4) 16 (-.f64 4 (*.f64 8 (*.f64 t t))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 -1 (fma.f64 (*.f64 t t) 4 2))) (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 t t) 4 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 t t) 4 2) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 t t) 4 2) (neg.f64 1/3)) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 t t) 4 2) (neg.f64 1/3)) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 t t) 4 2) (neg.f64 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 t t) 4 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 (*.f64 t t) 4 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 t t) 4 2) 3) (neg.f64 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (*.f64 t t) 4 2)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1 (fma.f64 (*.f64 t t) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 t t) 4 2) -3)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 4 (*.f64 t t)) 0) (*.f64 4 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 4 (*.f64 t t)) (*.f64 (*.f64 4 (*.f64 t t)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 t t) 3) (*.f64 t t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 t t) (*.f64 (*.f64 t t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 t t) 2) 1) (*.f64 (*.f64 (*.f64 t t) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 4 (*.f64 t t))) (*.f64 4 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 4 (*.f64 t t)) (*.f64 0 (*.f64 4 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (*.f64 t t)) (*.f64 t t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 t t) (*.f64 3 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 t t) 2) (*.f64 (*.f64 t t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 4 (*.f64 t t))) (cbrt.f64 (*.f64 (pow.f64 t 4) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 t 4) 16)) (cbrt.f64 (*.f64 4 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 t t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t t) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 4) (*.f64 (cbrt.f64 16) (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 t t)) (*.f64 (cbrt.f64 (pow.f64 t 4)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 t t) (+.f64 t t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 t) t)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 t (*.f64 4 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 4 t) (cbrt.f64 t)) (cbrt.f64 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 t t) (cbrt.f64 4)) (cbrt.f64 16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 64 (*.f64 t t))) (cbrt.f64 (pow.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 4 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (*.f64 t t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 -4 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 t 4)) (cbrt.f64 (*.f64 64 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -4 (*.f64 t t)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 t t)) (*.f64 (*.f64 4 t) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 t 4)) 4) (cbrt.f64 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 16) (*.f64 (*.f64 t t) (cbrt.f64 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 16) (*.f64 t t)) (cbrt.f64 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 t) (*.f64 -2 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (neg.f64 t)) (*.f64 2 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (neg.f64 t)) (*.f64 -2 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (+.f64 t t)) (*.f64 -1 (+.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 t) 2) (*.f64 (neg.f64 t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t -2) (*.f64 t -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 t) -2) (*.f64 (neg.f64 t) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 t t) 1) (*.f64 (+.f64 t t) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 t t) -1) (*.f64 (+.f64 t t) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 t t) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 t t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (*.f64 t t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 4 (*.f64 t t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 t 6) 64) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (*.f64 t t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 4 (*.f64 t t))) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 4 (*.f64 t t))) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 t t) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -4 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 t 6) 64)))))) |
| 1× | egg-herbie |
| Inputs |
|---|
1/2 |
(+.f64 (*.f64 -1 (pow.f64 t 2)) 1/2) |
(+.f64 (*.f64 -1 (pow.f64 t 2)) (+.f64 1/2 (*.f64 2 (pow.f64 t 4)))) |
(+.f64 (*.f64 -1 (pow.f64 t 2)) (+.f64 1/2 (+.f64 (*.f64 2 (pow.f64 t 4)) (*.f64 -4 (pow.f64 t 6))))) |
(/.f64 1/4 (pow.f64 t 2)) |
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))) (*.f64 1/8 (/.f64 1 (pow.f64 t 4)))) |
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))) (*.f64 1/16 (/.f64 1 (pow.f64 t 6)))) (*.f64 1/8 (/.f64 1 (pow.f64 t 4)))) |
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))) (*.f64 1/16 (/.f64 1 (pow.f64 t 6)))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 t 8))) (*.f64 1/8 (/.f64 1 (pow.f64 t 4))))) |
(/.f64 1/4 (pow.f64 t 2)) |
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))) (*.f64 1/8 (/.f64 1 (pow.f64 t 4)))) |
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))) (*.f64 1/16 (/.f64 1 (pow.f64 t 6)))) (*.f64 1/8 (/.f64 1 (pow.f64 t 4)))) |
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))) (*.f64 1/16 (/.f64 1 (pow.f64 t 6)))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 t 8))) (*.f64 1/8 (/.f64 1 (pow.f64 t 4))))) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 4 (pow.f64 t 2)) |
| Outputs |
|---|
1/2 |
(+.f64 (*.f64 -1 (pow.f64 t 2)) 1/2) |
(-.f64 1/2 (*.f64 t t)) |
(+.f64 (*.f64 -1 (pow.f64 t 2)) (+.f64 1/2 (*.f64 2 (pow.f64 t 4)))) |
(-.f64 (fma.f64 (pow.f64 t 4) 2 1/2) (*.f64 t t)) |
(+.f64 (*.f64 -1 (pow.f64 t 2)) (+.f64 1/2 (+.f64 (*.f64 2 (pow.f64 t 4)) (*.f64 -4 (pow.f64 t 6))))) |
(+.f64 (-.f64 1/2 (*.f64 t t)) (fma.f64 -4 (pow.f64 t 6) (*.f64 2 (pow.f64 t 4)))) |
(/.f64 1/4 (pow.f64 t 2)) |
(/.f64 1/4 (*.f64 t t)) |
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))) (*.f64 1/8 (/.f64 1 (pow.f64 t 4)))) |
(fma.f64 1/4 (pow.f64 t -2) (*.f64 -1/8 (pow.f64 t -4))) |
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))) (*.f64 1/16 (/.f64 1 (pow.f64 t 6)))) (*.f64 1/8 (/.f64 1 (pow.f64 t 4)))) |
(fma.f64 (pow.f64 t -2) 1/4 (fma.f64 1/16 (pow.f64 t -6) (*.f64 -1/8 (pow.f64 t -4)))) |
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))) (*.f64 1/16 (/.f64 1 (pow.f64 t 6)))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 t 8))) (*.f64 1/8 (/.f64 1 (pow.f64 t 4))))) |
(-.f64 (fma.f64 (pow.f64 t -6) 1/16 (/.f64 1/4 (*.f64 t t))) (fma.f64 1/32 (pow.f64 t -8) (*.f64 1/8 (pow.f64 t -4)))) |
(/.f64 1/4 (pow.f64 t 2)) |
(/.f64 1/4 (*.f64 t t)) |
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))) (*.f64 1/8 (/.f64 1 (pow.f64 t 4)))) |
(fma.f64 1/4 (pow.f64 t -2) (*.f64 -1/8 (pow.f64 t -4))) |
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))) (*.f64 1/16 (/.f64 1 (pow.f64 t 6)))) (*.f64 1/8 (/.f64 1 (pow.f64 t 4)))) |
(fma.f64 (pow.f64 t -2) 1/4 (fma.f64 1/16 (pow.f64 t -6) (*.f64 -1/8 (pow.f64 t -4)))) |
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))) (*.f64 1/16 (/.f64 1 (pow.f64 t 6)))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 t 8))) (*.f64 1/8 (/.f64 1 (pow.f64 t 4))))) |
(-.f64 (fma.f64 (pow.f64 t -6) 1/16 (/.f64 1/4 (*.f64 t t))) (fma.f64 1/32 (pow.f64 t -8) (*.f64 1/8 (pow.f64 t -4)))) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 4 (*.f64 t t)) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 4 (*.f64 t t)) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 4 (*.f64 t t)) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 4 (*.f64 t t)) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 4 (*.f64 t t)) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 4 (*.f64 t t)) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 4 (*.f64 t t)) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 4 (*.f64 t t)) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 4 (*.f64 t t)) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 4 (*.f64 t t)) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 4 (*.f64 t t)) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 4 (*.f64 t t)) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (/.f64 2/9 t) | |
| 0.0b | (+.f64 (+.f64 1/6 (/.f64 2/9 t)) (/.f64 -1/27 (*.f64 t t))) | |
| 0.0b | (-.f64 1 (+.f64 (+.f64 1/6 (/.f64 2/9 t)) (/.f64 -1/27 (*.f64 t t)))) | |
| 0.0b | (+.f64 1/6 (/.f64 2/9 t)) | |
| ✓ | 0.0b | (-.f64 1 (+.f64 (+.f64 1/6 (/.f64 2/9 t)) (/.f64 -1/27 (*.f64 t t)))) |
| ✓ | 0.0b | (+.f64 (+.f64 1/6 (/.f64 2/9 t)) (/.f64 -1/27 (*.f64 t t))) |
| ✓ | 0.3b | (/.f64 2/9 t) |
| ✓ | 0.6b | (/.f64 -1/27 (*.f64 t t)) |
Compiled 46 to 30 computations (34.8% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | 0 | (/.f64 -1/27 (*.f64 t t)) |
| 0.0ms | t | @ | 0 | (/.f64 2/9 t) |
| 0.0ms | t | @ | inf | (/.f64 -1/27 (*.f64 t t)) |
| 0.0ms | t | @ | 0 | (+.f64 (+.f64 1/6 (/.f64 2/9 t)) (/.f64 -1/27 (*.f64 t t))) |
| 0.0ms | t | @ | 0 | (-.f64 1 (+.f64 (+.f64 1/6 (/.f64 2/9 t)) (/.f64 -1/27 (*.f64 t t)))) |
| 1× | batch-egg-rewrite |
| 93× | egg-rr |
| 84× | egg-rr |
| 50× | egg-rr |
| 40× | egg-rr |
| Inputs |
|---|
(/.f64 -1/27 (*.f64 t t)) |
(/.f64 2/9 t) |
(+.f64 (+.f64 1/6 (/.f64 2/9 t)) (/.f64 -1/27 (*.f64 t t))) |
(-.f64 1 (+.f64 (+.f64 1/6 (/.f64 2/9 t)) (/.f64 -1/27 (*.f64 t t)))) |
| Outputs |
|---|
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(/.f64 (+.f64 2/9 (/.f64 -1/27 t)) t) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 5/6 (/.f64 (+.f64 2/9 (/.f64 -1/27 t)) t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 5/6 (/.f64 (+.f64 2/9 (/.f64 -1/27 t)) t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 5/6 (/.f64 (+.f64 2/9 (/.f64 -1/27 t)) t))) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 5/6 (/.f64 (+.f64 2/9 (/.f64 -1/27 t)) t))) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 5/6 (/.f64 (+.f64 2/9 (/.f64 -1/27 t)) t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (-.f64 5/6 (/.f64 (+.f64 2/9 (/.f64 -1/27 t)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (+.f64 1/6 (/.f64 2/9 t)) (+.f64 1 (/.f64 1/27 (*.f64 t t)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (/.f64 (+.f64 2/9 (/.f64 -1/27 t)) t) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 5/6 (/.f64 (+.f64 2/9 (/.f64 -1/27 t)) t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 1 (-.f64 -1/6 (/.f64 (+.f64 2/9 (/.f64 -1/27 t)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 -1 (-.f64 -1/6 (/.f64 (+.f64 2/9 (/.f64 -1/27 t)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 0 (-.f64 5/6 (/.f64 (+.f64 2/9 (/.f64 -1/27 t)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 3 (-.f64 5/6 (/.f64 (+.f64 2/9 (/.f64 -1/27 t)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 1 (-.f64 5/6 (/.f64 (+.f64 2/9 (/.f64 -1/27 t)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 0 (-.f64 5/6 (/.f64 (+.f64 2/9 (/.f64 -1/27 t)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 0 (-.f64 5/6 (/.f64 (+.f64 2/9 (/.f64 -1/27 t)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 5/6 (/.f64 -2/9 t))) (pow.f64 (cbrt.f64 (+.f64 5/6 (/.f64 -2/9 t))) 2) (/.f64 1/27 (*.f64 t t))))))) |
| 1× | egg-herbie |
| Inputs |
|---|
(/.f64 -1/27 (pow.f64 t 2)) |
(/.f64 -1/27 (pow.f64 t 2)) |
(/.f64 -1/27 (pow.f64 t 2)) |
(/.f64 -1/27 (pow.f64 t 2)) |
(/.f64 -1/27 (pow.f64 t 2)) |
(/.f64 -1/27 (pow.f64 t 2)) |
(/.f64 -1/27 (pow.f64 t 2)) |
(/.f64 -1/27 (pow.f64 t 2)) |
(/.f64 -1/27 (pow.f64 t 2)) |
(/.f64 -1/27 (pow.f64 t 2)) |
(/.f64 -1/27 (pow.f64 t 2)) |
(/.f64 -1/27 (pow.f64 t 2)) |
(/.f64 -1/27 (pow.f64 t 2)) |
(-.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) |
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) |
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) |
1/6 |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) |
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) |
1/6 |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) |
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) |
(/.f64 1/27 (pow.f64 t 2)) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t))) |
5/6 |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t))) |
5/6 |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t))) |
| Outputs |
|---|
(/.f64 -1/27 (pow.f64 t 2)) |
(/.f64 -1/27 (*.f64 t t)) |
(/.f64 -1/27 (pow.f64 t 2)) |
(/.f64 -1/27 (*.f64 t t)) |
(/.f64 -1/27 (pow.f64 t 2)) |
(/.f64 -1/27 (*.f64 t t)) |
(/.f64 -1/27 (pow.f64 t 2)) |
(/.f64 -1/27 (*.f64 t t)) |
(/.f64 -1/27 (pow.f64 t 2)) |
(/.f64 -1/27 (*.f64 t t)) |
(/.f64 -1/27 (pow.f64 t 2)) |
(/.f64 -1/27 (*.f64 t t)) |
(/.f64 -1/27 (pow.f64 t 2)) |
(/.f64 -1/27 (*.f64 t t)) |
(/.f64 -1/27 (pow.f64 t 2)) |
(/.f64 -1/27 (*.f64 t t)) |
(/.f64 -1/27 (pow.f64 t 2)) |
(/.f64 -1/27 (*.f64 t t)) |
(/.f64 -1/27 (pow.f64 t 2)) |
(/.f64 -1/27 (*.f64 t t)) |
(/.f64 -1/27 (pow.f64 t 2)) |
(/.f64 -1/27 (*.f64 t t)) |
(/.f64 -1/27 (pow.f64 t 2)) |
(/.f64 -1/27 (*.f64 t t)) |
(/.f64 -1/27 (pow.f64 t 2)) |
(/.f64 -1/27 (*.f64 t t)) |
(-.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) |
(/.f64 (-.f64 2/9 (/.f64 1/27 t)) t) |
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) |
(+.f64 1/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t)) |
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) |
(+.f64 1/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t)) |
1/6 |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (/.f64 2/9 t)) |
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) |
(+.f64 1/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t)) |
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) |
(+.f64 1/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t)) |
1/6 |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (/.f64 2/9 t)) |
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) |
(+.f64 1/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t)) |
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) |
(+.f64 1/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t)) |
(/.f64 1/27 (pow.f64 t 2)) |
(/.f64 1/27 (*.f64 t t)) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(/.f64 (-.f64 (/.f64 1/27 t) 2/9) t) |
(-.f64 (+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t))) |
(+.f64 5/6 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t)) |
(-.f64 (+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t))) |
(+.f64 5/6 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t)) |
5/6 |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t))) |
(+.f64 5/6 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t)) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t))) |
(+.f64 5/6 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t)) |
5/6 |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t))) |
(+.f64 5/6 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t)) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t))) |
(+.f64 5/6 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t)) |
Compiled 36980 to 29975 computations (18.9% saved)
12 alts after pruning (9 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1265 | 6 | 1271 |
| Fresh | 1 | 3 | 4 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 3 | 5 |
| Total | 1269 | 12 | 1281 |
| Status | Error | Program |
|---|---|---|
| ▶ | 61.8b | (/.f64 1/27 (*.f64 t t)) |
| 27.7b | 5/6 | |
| ✓ | 33.1b | (+.f64 5/6 (/.f64 -2/9 t)) |
| 33.3b | (+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (+.f64 1 (/.f64 1/27 (*.f64 t t)))) | |
| 24.0b | (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t 2) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))) | |
| ▶ | 0.0b | (/.f64 (+.f64 (-.f64 -2 (*.f64 (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2) (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2))) 1) (-.f64 -2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2))) |
| ✓ | 24.0b | (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 4 (*.f64 t t))))) |
| 24.5b | 1/2 | |
| ✓ | 0.0b | (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))) |
| ▶ | 33.3b | (+.f64 5/6 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t)) |
| ▶ | 33.3b | (-.f64 (/.f64 (-.f64 t 2/9) t) (+.f64 (/.f64 -1/27 (*.f64 t t)) 1/6)) |
| ▶ | 29.6b | (+.f64 1/2 (*.f64 t t)) |
Compiled 284 to 229 computations (19.4% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 (+.f64 t 1) t) | |
| 0.0b | (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1)) | |
| 0.0b | (+.f64 (/.f64 -1 t) -1) | |
| 0.0b | (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) | |
| ✓ | 0.0b | (*.f64 (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2) (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2)) |
| 0.0b | (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2) | |
| ✓ | 2.7b | (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2) |
| 2.7b | (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) |
Compiled 211 to 164 computations (22.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | 0 | (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2) |
| 0.0ms | t | @ | inf | (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2) |
| 0.0ms | t | @ | -inf | (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2) |
| 0.0ms | t | @ | 0 | (*.f64 (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2) (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2)) |
| 0.0ms | t | @ | -inf | (*.f64 (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2) (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2)) |
| 1× | batch-egg-rewrite |
| 76× | egg-rr |
| 67× | egg-rr |
| Inputs |
|---|
(+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2) |
(*.f64 (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2) (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2)) |
| Outputs |
|---|
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t 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) (cbrt.f64 (/.f64 2 (+.f64 t 1)))) (cbrt.f64 (pow.f64 (/.f64 2 (+.f64 t 1)) 2)) (fma.f64 -2 (/.f64 2 (+.f64 t 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 2 (+.f64 t 1)) (cbrt.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) 2)) (fma.f64 -2 (/.f64 2 (+.f64 t 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2)) (*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) 2)) (/.f64 2 (+.f64 t 1))) (fma.f64 -2 (/.f64 2 (+.f64 t 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 t) (*.f64 (/.f64 1 (/.f64 (+.f64 t 1) t)) (+.f64 (/.f64 2 (+.f64 t 1)) -2)) (fma.f64 -2 (/.f64 2 (+.f64 t 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) (/.f64 2 t)) (/.f64 1 (/.f64 (+.f64 t 1) t)) (fma.f64 -2 (/.f64 2 (+.f64 t 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) (/.f64 2 (+.f64 t 1))) 1 (fma.f64 -2 (/.f64 2 (+.f64 t 1)) 4)))))) |
| 1× | egg-herbie |
| Inputs |
|---|
(*.f64 -2 t) |
(+.f64 (*.f64 -2 t) (*.f64 2 (pow.f64 t 2))) |
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 (*.f64 -2 t) (*.f64 2 (pow.f64 t 2)))) |
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 (*.f64 2 (pow.f64 t 4)) (+.f64 (*.f64 -2 t) (*.f64 2 (pow.f64 t 2))))) |
-2 |
(-.f64 (*.f64 2 (/.f64 1 t)) 2) |
(-.f64 (*.f64 2 (/.f64 1 t)) (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))) (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2))))) |
-2 |
(-.f64 (*.f64 2 (/.f64 1 t)) 2) |
(-.f64 (*.f64 2 (/.f64 1 t)) (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))) (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2))))) |
(*.f64 4 (pow.f64 t 2)) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2)))) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 -16 (pow.f64 t 5)) (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))))) |
4 |
(-.f64 4 (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3))))) |
4 |
(-.f64 4 (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3))))) |
| Outputs |
|---|
(*.f64 -2 t) |
(+.f64 (*.f64 -2 t) (*.f64 2 (pow.f64 t 2))) |
(fma.f64 -2 t (*.f64 2 (*.f64 t t))) |
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 (*.f64 -2 t) (*.f64 2 (pow.f64 t 2)))) |
(+.f64 (*.f64 -2 (+.f64 (pow.f64 t 3) t)) (*.f64 2 (*.f64 t t))) |
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 (*.f64 2 (pow.f64 t 4)) (+.f64 (*.f64 -2 t) (*.f64 2 (pow.f64 t 2))))) |
(fma.f64 (pow.f64 t 3) -2 (fma.f64 2 (pow.f64 t 4) (fma.f64 -2 t (*.f64 2 (*.f64 t t))))) |
-2 |
(-.f64 (*.f64 2 (/.f64 1 t)) 2) |
(+.f64 (/.f64 2 t) -2) |
(-.f64 (*.f64 2 (/.f64 1 t)) (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2))))) |
(-.f64 (/.f64 2 t) (fma.f64 (pow.f64 t -2) 2 2)) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))) (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2))))) |
(-.f64 (fma.f64 2 (pow.f64 t -3) (/.f64 2 t)) (fma.f64 (pow.f64 t -2) 2 2)) |
-2 |
(-.f64 (*.f64 2 (/.f64 1 t)) 2) |
(+.f64 (/.f64 2 t) -2) |
(-.f64 (*.f64 2 (/.f64 1 t)) (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2))))) |
(-.f64 (/.f64 2 t) (fma.f64 (pow.f64 t -2) 2 2)) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))) (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2))))) |
(-.f64 (fma.f64 2 (pow.f64 t -3) (/.f64 2 t)) (fma.f64 (pow.f64 t -2) 2 2)) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 4 (*.f64 t t)) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))) |
(fma.f64 -8 (pow.f64 t 3) (*.f64 4 (*.f64 t t))) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2)))) |
(fma.f64 -8 (pow.f64 t 3) (fma.f64 12 (pow.f64 t 4) (*.f64 4 (*.f64 t t)))) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 -16 (pow.f64 t 5)) (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))))) |
(fma.f64 (pow.f64 t 3) -8 (fma.f64 (pow.f64 t 5) -16 (fma.f64 12 (pow.f64 t 4) (*.f64 4 (*.f64 t t))))) |
4 |
(-.f64 4 (*.f64 8 (/.f64 1 t))) |
(+.f64 4 (/.f64 -8 t)) |
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(+.f64 (fma.f64 (pow.f64 t -2) 12 4) (/.f64 -8 t)) |
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3))))) |
(-.f64 (fma.f64 (pow.f64 t -2) 12 4) (fma.f64 16 (pow.f64 t -3) (/.f64 8 t))) |
4 |
(-.f64 4 (*.f64 8 (/.f64 1 t))) |
(+.f64 4 (/.f64 -8 t)) |
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(+.f64 (fma.f64 (pow.f64 t -2) 12 4) (/.f64 -8 t)) |
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3))))) |
(-.f64 (fma.f64 (pow.f64 t -2) 12 4) (fma.f64 16 (pow.f64 t -3) (/.f64 8 t))) |
Compiled 11 to 5 computations (54.5% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.6b | (/.f64 1/27 (*.f64 t t)) | |
| ✓ | 0.6b | (/.f64 1/27 (*.f64 t t)) |
Compiled 11 to 5 computations (54.5% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | 0 | (/.f64 1/27 (*.f64 t t)) |
| 0.0ms | t | @ | inf | (/.f64 1/27 (*.f64 t t)) |
| 0.0ms | t | @ | -inf | (/.f64 1/27 (*.f64 t t)) |
| 1× | batch-egg-rewrite |
| 93× | egg-rr |
| Inputs |
|---|
(/.f64 1/27 (*.f64 t t)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/27 (*.f64 t t)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/27 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/27 (*.f64 t t)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 -1/27 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/27) t) (/.f64 (sqrt.f64 1/27) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 1/27) t) -1) (*.f64 (/.f64 (sqrt.f64 1/27) t) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 t) (sqrt.f64 1/27)) (*.f64 (/.f64 1 t) (sqrt.f64 1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1 t) (sqrt.f64 1/27)) (*.f64 (/.f64 -1 t) (sqrt.f64 1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 t) (neg.f64 (sqrt.f64 1/27))) (*.f64 (/.f64 1 t) (neg.f64 (sqrt.f64 1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1 t) (neg.f64 (sqrt.f64 1/27))) (*.f64 (/.f64 -1 t) (neg.f64 (sqrt.f64 1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/27) (neg.f64 t)) (/.f64 (sqrt.f64 1/27) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 (sqrt.f64 1/27)) (/.f64 1 t)) (*.f64 (neg.f64 (sqrt.f64 1/27)) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/27) (/.f64 -1 t)) (*.f64 (sqrt.f64 1/27) (/.f64 -1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 (sqrt.f64 1/27)) (/.f64 -1 t)) (*.f64 (neg.f64 (sqrt.f64 1/27)) (/.f64 -1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (pow.f64 t -2/3)) (/.f64 1/9 (pow.f64 t 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/9 (pow.f64 t 4/3)) (*.f64 1/3 (pow.f64 t -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 t) (/.f64 1/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/27) (pow.f64 t -2/3)) (/.f64 (sqrt.f64 1/27) (pow.f64 t 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 t -2/3) (/.f64 1/27 (pow.f64 t 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/27) (pow.f64 t 4/3)) (*.f64 (sqrt.f64 1/27) (pow.f64 t -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/27 (pow.f64 t 4/3)) (pow.f64 t -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/9 t) (/.f64 1/3 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/27 (neg.f64 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 t -2)) -1/27)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 0 (+.f64 (/.f64 1/9 (pow.f64 t 4/3)) (*.f64 0 (cbrt.f64 (/.f64 -1/27 (*.f64 t t)))))) (*.f64 1/3 (pow.f64 t -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/27 t) (cbrt.f64 t)) (pow.f64 t -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/27) (*.f64 (sqrt.f64 1/27) (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/27 t) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (/.f64 1/27 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/27) (pow.f64 t -2)) (sqrt.f64 1/27))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/27 (pow.f64 t -2/3)) (cbrt.f64 (pow.f64 t -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/27 t) (/.f64 -1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1/27 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/27 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/27 (*.f64 t t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/27 (*.f64 t t)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 1/9 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/9 (*.f64 t t)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/27 (pow.f64 t -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 t -2) 1/27)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 t) (*.f64 t 27))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/27 (pow.f64 t -2/3)) (cbrt.f64 (pow.f64 t 4/3))) (cbrt.f64 (pow.f64 (pow.f64 t 4/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (/.f64 1/27 t)) 1/9) (*.f64 (cbrt.f64 t) (pow.f64 t 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/9 (pow.f64 t 4/3)) -1/3) (neg.f64 (pow.f64 t 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/3 (/.f64 1/9 (pow.f64 t 4/3))) (neg.f64 (pow.f64 t 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (/.f64 1/27 t) (cbrt.f64 t)) (cbrt.f64 (pow.f64 t 2/3))) (cbrt.f64 (pow.f64 t 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 t) -1/27) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/9 (pow.f64 t 4/3)) (cbrt.f64 (/.f64 1/27 t))) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/27 t) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (/.f64 1/27 t)) (/.f64 1/9 (pow.f64 t 4/3))) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 1/19683 t)) (pow.f64 (cbrt.f64 t) 5))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/27 t) (pow.f64 t 2/3)) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (/.f64 1/27 t) (cbrt.f64 t)) (cbrt.f64 t)) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/27 t) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/27 t) (cbrt.f64 t)) (pow.f64 t 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/27 (pow.f64 t -2/3)) (pow.f64 t 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 1/27) (pow.f64 t -2/3)) (sqrt.f64 1/27)) (pow.f64 t 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 t) (cbrt.f64 (/.f64 1/19683 t))) (pow.f64 t 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/3 t) 1/9) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/3 (pow.f64 t -2/3)) 1/9) (pow.f64 t 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 t -2/3) 1/27) (pow.f64 t 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/9 (pow.f64 t 4/3)) 1/3) (pow.f64 t 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/27) (/.f64 (sqrt.f64 1/27) (pow.f64 t 4/3))) (pow.f64 t 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/27 (pow.f64 t 4/3)) (pow.f64 t 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (/.f64 1/9 (pow.f64 t 4/3))) (pow.f64 t 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (/.f64 1/19683 t)) (/.f64 1 t)) (pow.f64 t 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/27 (pow.f64 t 2/3)) (neg.f64 (pow.f64 t 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/27 (neg.f64 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 -1/27 t) (cbrt.f64 t)) (neg.f64 (pow.f64 t 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (*.f64 t t) -1/27))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 t 27) t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/27 (*.f64 t t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 1/3 (cbrt.f64 (pow.f64 t 2/3))) 3) (pow.f64 t 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 -1/3 (cbrt.f64 t)) 3) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 (cbrt.f64 (/.f64 1/27 t)) (cbrt.f64 (cbrt.f64 t))) 3) (pow.f64 t 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/27 (*.f64 t t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 t 27) t) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (pow.f64 t -2/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/27 (*.f64 t t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/27) t) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (sqrt.f64 1/27) t) -1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 -1 t) (sqrt.f64 1/27)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (neg.f64 (sqrt.f64 1/27)) (/.f64 -1 t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 -1 t) (neg.f64 (sqrt.f64 1/27))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 t) (sqrt.f64 1/27)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/27) (/.f64 -1 t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 t) (neg.f64 (sqrt.f64 1/27))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/27) (neg.f64 t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (neg.f64 (sqrt.f64 1/27)) (/.f64 1 t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 t -6) 1/19683) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (/.f64 -1/27 (*.f64 t t)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1/27 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 t -6) 1/19683)))))) |
| 1× | egg-herbie |
| Inputs |
|---|
(/.f64 1/27 (pow.f64 t 2)) |
(/.f64 1/27 (pow.f64 t 2)) |
(/.f64 1/27 (pow.f64 t 2)) |
(/.f64 1/27 (pow.f64 t 2)) |
(/.f64 1/27 (pow.f64 t 2)) |
(/.f64 1/27 (pow.f64 t 2)) |
(/.f64 1/27 (pow.f64 t 2)) |
(/.f64 1/27 (pow.f64 t 2)) |
(/.f64 1/27 (pow.f64 t 2)) |
(/.f64 1/27 (pow.f64 t 2)) |
(/.f64 1/27 (pow.f64 t 2)) |
(/.f64 1/27 (pow.f64 t 2)) |
| Outputs |
|---|
(/.f64 1/27 (pow.f64 t 2)) |
(/.f64 1/27 (*.f64 t t)) |
(/.f64 1/27 (pow.f64 t 2)) |
(/.f64 1/27 (*.f64 t t)) |
(/.f64 1/27 (pow.f64 t 2)) |
(/.f64 1/27 (*.f64 t t)) |
(/.f64 1/27 (pow.f64 t 2)) |
(/.f64 1/27 (*.f64 t t)) |
(/.f64 1/27 (pow.f64 t 2)) |
(/.f64 1/27 (*.f64 t t)) |
(/.f64 1/27 (pow.f64 t 2)) |
(/.f64 1/27 (*.f64 t t)) |
(/.f64 1/27 (pow.f64 t 2)) |
(/.f64 1/27 (*.f64 t t)) |
(/.f64 1/27 (pow.f64 t 2)) |
(/.f64 1/27 (*.f64 t t)) |
(/.f64 1/27 (pow.f64 t 2)) |
(/.f64 1/27 (*.f64 t t)) |
(/.f64 1/27 (pow.f64 t 2)) |
(/.f64 1/27 (*.f64 t t)) |
(/.f64 1/27 (pow.f64 t 2)) |
(/.f64 1/27 (*.f64 t t)) |
(/.f64 1/27 (pow.f64 t 2)) |
(/.f64 1/27 (*.f64 t t)) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (/.f64 1/27 t) | |
| 0.2b | (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t) | |
| 0.0b | (-.f64 (/.f64 1/27 t) 2/9) | |
| 0.0b | (+.f64 5/6 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t)) | |
| ✓ | 0.0b | (+.f64 5/6 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t)) |
| ✓ | 0.0b | (-.f64 (/.f64 1/27 t) 2/9) |
| ✓ | 0.2b | (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t) |
| ✓ | 0.3b | (/.f64 1/27 t) |
Compiled 29 to 22 computations (24.1% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | 0 | (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t) |
| 0.0ms | t | @ | -inf | (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t) |
| 0.0ms | t | @ | 0 | (/.f64 1/27 t) |
| 0.0ms | t | @ | inf | (/.f64 1/27 t) |
| 0.0ms | t | @ | -inf | (/.f64 1/27 t) |
| 1× | batch-egg-rewrite |
| 91× | egg-rr |
| 73× | egg-rr |
| 67× | egg-rr |
| 56× | egg-rr |
| Inputs |
|---|
(/.f64 1/27 t) |
(/.f64 (-.f64 (/.f64 1/27 t) 2/9) t) |
(-.f64 (/.f64 1/27 t) 2/9) |
(+.f64 5/6 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/27 t) 0) (/.f64 1/27 t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/27 t) (*.f64 (/.f64 1/27 t) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 1/27 t)) (/.f64 1/27 t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/27 t) (*.f64 0 (/.f64 1/27 t)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 -1/27 t))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (neg.f64 t)) (/.f64 -1/27 t))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (/.f64 t 1/27)) (/.f64 -1/27 t))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/27 t) (/.f64 0 (/.f64 t 1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/27) (/.f64 (cbrt.f64 1/729) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/27 (/.f64 -1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/27) (cbrt.f64 t)) (/.f64 (sqrt.f64 1/27) (cbrt.f64 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/27) (/.f64 (sqrt.f64 1/27) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/27 t)) (cbrt.f64 (/.f64 1/729 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/729 (*.f64 t t))) (cbrt.f64 (/.f64 1/27 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 t)) (cbrt.f64 (/.f64 1/19683 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/27 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/27 (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/27 t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) 1/27)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1/27 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/19683 t)) (pow.f64 (cbrt.f64 t) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/27 (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 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(/.f64 (+.f64 (/.f64 1/27 t) -2/9) t) -5/6) 25/36))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 125/216 (pow.f64 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t) 3))) 1) (neg.f64 (fma.f64 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t) (+.f64 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t) -5/6) 25/36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 125/216 (pow.f64 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t) 3))) (cbrt.f64 (pow.f64 (+.f64 5/6 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t)) 2))) (cbrt.f64 (fma.f64 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t) (+.f64 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t) -5/6) 25/36)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 5/6 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 5/6 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 5/6 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t))) (+.f64 2 1))))) (#(struct:change #<rule 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(pow.f64 t -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 5/6 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 5/6) (sqrt.f64 5/6) (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 5/6) (cbrt.f64 25/36) (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t) 2)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 1/27 t) -2/9) (/.f64 1 t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 5/6 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t) 1 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 (/.f64 1/27 t) -2/9)) (/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 -1/27 t) 2/9) 2)) t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 (+.f64 (/.f64 -1/27 t) 2/9) t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 -1/27 t) 2/9) (/.f64 -1 t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 t) (+.f64 (/.f64 1/27 t) -2/9) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1 t)) (/.f64 (+.f64 (/.f64 1/27 t) -2/9) (cbrt.f64 (*.f64 t t))) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 -5/6 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 25/36) (cbrt.f64 5/6) (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 5/6 1 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 5/6)) (neg.f64 (sqrt.f64 5/6)) (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/27 (pow.f64 t -2))) (/.f64 (/.f64 (cbrt.f64 1/729) t) (cbrt.f64 t)) (neg.f64 (+.f64 (/.f64 2/9 t) -5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1 t)) (/.f64 (/.f64 1/27 t) (cbrt.f64 (*.f64 t t))) (neg.f64 (+.f64 (/.f64 2/9 t) -5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/27 t) (/.f64 1 t) (neg.f64 (+.f64 (/.f64 2/9 t) -5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/27 (pow.f64 t -2))) (cbrt.f64 (pow.f64 (*.f64 1/27 (pow.f64 t -2)) 2)) (neg.f64 (+.f64 (/.f64 2/9 t) -5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1/27 t)) (/.f64 (cbrt.f64 (/.f64 1/729 (*.f64 t t))) t) (neg.f64 (+.f64 (/.f64 2/9 t) -5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/27 (pow.f64 t -2)) (neg.f64 (+.f64 (/.f64 2/9 t) -5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1/19683 t)) (/.f64 (/.f64 1 t) (cbrt.f64 (*.f64 t t))) (neg.f64 (+.f64 (/.f64 2/9 t) -5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/27 (pow.f64 t -2) (neg.f64 (+.f64 (/.f64 2/9 t) -5/6))))))) |
| 1× | egg-herbie |
| Inputs |
|---|
(/.f64 1/27 (pow.f64 t 2)) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(/.f64 -2/9 t) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(/.f64 -2/9 t) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(/.f64 1/27 t) |
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9) |
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9) |
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9) |
-2/9 |
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9) |
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9) |
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9) |
-2/9 |
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9) |
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9) |
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9) |
(/.f64 1/27 (pow.f64 t 2)) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t))) |
5/6 |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t))) |
5/6 |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t))) |
| Outputs |
|---|
(/.f64 1/27 (pow.f64 t 2)) |
(/.f64 1/27 (*.f64 t t)) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) |
(/.f64 -2/9 t) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) |
(/.f64 -2/9 t) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) |
(/.f64 1/27 t) |
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9) |
(+.f64 -2/9 (/.f64 1/27 t)) |
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9) |
(+.f64 -2/9 (/.f64 1/27 t)) |
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9) |
(+.f64 -2/9 (/.f64 1/27 t)) |
-2/9 |
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9) |
(+.f64 -2/9 (/.f64 1/27 t)) |
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9) |
(+.f64 -2/9 (/.f64 1/27 t)) |
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9) |
(+.f64 -2/9 (/.f64 1/27 t)) |
-2/9 |
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9) |
(+.f64 -2/9 (/.f64 1/27 t)) |
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9) |
(+.f64 -2/9 (/.f64 1/27 t)) |
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9) |
(+.f64 -2/9 (/.f64 1/27 t)) |
(/.f64 1/27 (pow.f64 t 2)) |
(/.f64 1/27 (*.f64 t t)) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) |
(-.f64 (+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t))) |
(+.f64 5/6 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)) |
(-.f64 (+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t))) |
(+.f64 5/6 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)) |
5/6 |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t))) |
(+.f64 5/6 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t))) |
(+.f64 5/6 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)) |
5/6 |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t))) |
(+.f64 5/6 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t))) |
(+.f64 5/6 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (/.f64 (-.f64 t 2/9) t) | |
| 0.0b | (-.f64 t 2/9) | |
| 0.0b | (+.f64 (/.f64 -1/27 (*.f64 t t)) 1/6) | |
| 0.0b | (-.f64 (/.f64 (-.f64 t 2/9) t) (+.f64 (/.f64 -1/27 (*.f64 t t)) 1/6)) | |
| ✓ | 0.0b | (+.f64 (/.f64 -1/27 (*.f64 t t)) 1/6) |
| ✓ | 0.0b | (-.f64 t 2/9) |
| ✓ | 0.2b | (/.f64 (-.f64 t 2/9) t) |
| 0.6b | (/.f64 -1/27 (*.f64 t t)) |
Compiled 41 to 24 computations (41.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | t | @ | 0 | (/.f64 (-.f64 t 2/9) t) |
| 0.0ms | t | @ | inf | (/.f64 (-.f64 t 2/9) t) |
| 0.0ms | t | @ | -inf | (/.f64 (-.f64 t 2/9) t) |
| 0.0ms | t | @ | 0 | (+.f64 (/.f64 -1/27 (*.f64 t t)) 1/6) |
| 0.0ms | t | @ | inf | (+.f64 (/.f64 -1/27 (*.f64 t t)) 1/6) |
| 1× | batch-egg-rewrite |
| 77× | egg-rr |
| 60× | egg-rr |
| 49× | egg-rr |
| Inputs |
|---|
(/.f64 (-.f64 t 2/9) t) |
(-.f64 t 2/9) |
(+.f64 (/.f64 -1/27 (*.f64 t t)) 1/6) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/27 (pow.f64 t -2) 1/6) (*.f64 (fma.f64 -1/27 (pow.f64 t -2) 1/6) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 -1/27 (pow.f64 t -2) 1/6) 0) (fma.f64 -1/27 (pow.f64 t -2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/27 (pow.f64 t -2) 1/6) (*.f64 0 (fma.f64 -1/27 (pow.f64 t -2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (fma.f64 -1/27 (pow.f64 t -2) 1/6)) (fma.f64 -1/27 (pow.f64 t -2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/27 (*.f64 t t)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/6 (/.f64 -1/27 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/6 (/.f64 1/27 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 (/.f64 -1/19683 (pow.f64 t 6)) 1/216)) (/.f64 1 (+.f64 (-.f64 (/.f64 -1/162 (*.f64 t t)) 1/36) (neg.f64 (/.f64 1/729 (pow.f64 t 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x 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egg-rr> (2) ((x *.f64 1 (fma.f64 -1/27 (pow.f64 t -2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/27 (pow.f64 t -2) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (/.f64 -1/19683 (pow.f64 t 6)) 1/216)) (+.f64 (-.f64 (/.f64 -1/162 (*.f64 t t)) 1/36) (neg.f64 (/.f64 1/729 (pow.f64 t 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 -1/19683 (pow.f64 t 6)) 1/216) (+.f64 (/.f64 1/729 (pow.f64 t 4)) (+.f64 1/36 (/.f64 1/162 (*.f64 t t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/27 (pow.f64 t -2) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/27 (pow.f64 t -2) 1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/27 (pow.f64 t -2) 1/6)) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/27 (pow.f64 t -2) 1/6)) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/27 (pow.f64 t -2) 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/27 (pow.f64 t -2) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (+.f64 (/.f64 1/27 (*.f64 t t)) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (fma.f64 -1/27 (pow.f64 t -2) 1/6) -1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (/.f64 -1/19683 (pow.f64 t 6)) 1/216) (+.f64 (-.f64 (/.f64 -1/162 (*.f64 t t)) 1/36) (neg.f64 (/.f64 1/729 (pow.f64 t 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/27 (pow.f64 t -2) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 1/6) (sqrt.f64 1/6) (/.f64 -1/27 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 1/6) (cbrt.f64 1/36) (/.f64 -1/27 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -1/27 (*.f64 t t))) (cbrt.f64 (/.f64 1/729 (pow.f64 t 4))) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 1/6 (/.f64 -1/27 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1/27 (*.f64 t t)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/27 (pow.f64 t -2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 1/36) (cbrt.f64 1/6) (/.f64 -1/27 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 -1/6 (/.f64 -1/27 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 1/6)) (neg.f64 (sqrt.f64 1/6)) (/.f64 -1/27 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/6 1 (/.f64 -1/27 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/27 t) (/.f64 1 t) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 t -2)) (/.f64 -1/27 (cbrt.f64 (pow.f64 t 4))) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1/729 (pow.f64 t 4))) (cbrt.f64 (/.f64 -1/27 (*.f64 t t))) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 -1/27) (*.f64 (cbrt.f64 1/729) (pow.f64 t -2)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/27 (neg.f64 (pow.f64 t -2)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 -1/27) t) (/.f64 (cbrt.f64 1/729) t) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/27 (*.f64 t t)) 1 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 t -2) -1/27 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1/27 (*.f64 t t)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 t) (/.f64 -1/27 t) 1/6))))) |
| 1× | egg-herbie |
| Inputs |
|---|
(/.f64 -2/9 t) |
(-.f64 1 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 1 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 1 (*.f64 2/9 (/.f64 1 t))) |
1 |
(-.f64 1 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 1 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 1 (*.f64 2/9 (/.f64 1 t))) |
1 |
(-.f64 1 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 1 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 1 (*.f64 2/9 (/.f64 1 t))) |
-2/9 |
t |
t |
(/.f64 -1/27 (pow.f64 t 2)) |
(-.f64 1/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) |
(-.f64 1/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) |
(-.f64 1/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) |
1/6 |
(-.f64 1/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) |
(-.f64 1/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) |
(-.f64 1/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) |
1/6 |
(-.f64 1/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) |
(-.f64 1/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) |
(-.f64 1/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) |
| Outputs |
|---|
(/.f64 -2/9 t) |
(-.f64 1 (*.f64 2/9 (/.f64 1 t))) |
(/.f64 (+.f64 t -2/9) t) |
(-.f64 1 (*.f64 2/9 (/.f64 1 t))) |
(/.f64 (+.f64 t -2/9) t) |
(-.f64 1 (*.f64 2/9 (/.f64 1 t))) |
(/.f64 (+.f64 t -2/9) t) |
1 |
(-.f64 1 (*.f64 2/9 (/.f64 1 t))) |
(/.f64 (+.f64 t -2/9) t) |
(-.f64 1 (*.f64 2/9 (/.f64 1 t))) |
(/.f64 (+.f64 t -2/9) t) |
(-.f64 1 (*.f64 2/9 (/.f64 1 t))) |
(/.f64 (+.f64 t -2/9) t) |
1 |
(-.f64 1 (*.f64 2/9 (/.f64 1 t))) |
(/.f64 (+.f64 t -2/9) t) |
(-.f64 1 (*.f64 2/9 (/.f64 1 t))) |
(/.f64 (+.f64 t -2/9) t) |
(-.f64 1 (*.f64 2/9 (/.f64 1 t))) |
(/.f64 (+.f64 t -2/9) t) |
-2/9 |
t |
t |
(/.f64 -1/27 (pow.f64 t 2)) |
(/.f64 -1/27 (*.f64 t t)) |
(-.f64 1/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) |
(fma.f64 (pow.f64 t -2) -1/27 1/6) |
(-.f64 1/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) |
(fma.f64 (pow.f64 t -2) -1/27 1/6) |
(-.f64 1/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) |
(fma.f64 (pow.f64 t -2) -1/27 1/6) |
1/6 |
(-.f64 1/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) |
(fma.f64 (pow.f64 t -2) -1/27 1/6) |
(-.f64 1/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) |
(fma.f64 (pow.f64 t -2) -1/27 1/6) |
(-.f64 1/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) |
(fma.f64 (pow.f64 t -2) -1/27 1/6) |
1/6 |
(-.f64 1/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) |
(fma.f64 (pow.f64 t -2) -1/27 1/6) |
(-.f64 1/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) |
(fma.f64 (pow.f64 t -2) -1/27 1/6) |
(-.f64 1/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) |
(fma.f64 (pow.f64 t -2) -1/27 1/6) |
Compiled 30733 to 24366 computations (20.7% saved)
12 alts after pruning (5 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1056 | 1 | 1057 |
| Fresh | 0 | 4 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 6 | 7 |
| Total | 1057 | 12 | 1069 |
| Status | Error | Program |
|---|---|---|
| ✓ | 61.8b | (/.f64 1/27 (*.f64 t t)) |
| 27.7b | 5/6 | |
| ▶ | 24.0b | (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t 2) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))) |
| ▶ | 0.0b | (/.f64 (+.f64 (-.f64 -2 (*.f64 (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2) (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2))) 1) (-.f64 -2 (*.f64 (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2) (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2)))) |
| ✓ | 33.1b | (+.f64 5/6 (/.f64 -2/9 t)) |
| ▶ | 33.3b | (+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (+.f64 1 (/.f64 1/27 (*.f64 t t)))) |
| ✓ | 24.0b | (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 4 (*.f64 t t))))) |
| 24.5b | 1/2 | |
| ✓ | 0.0b | (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))) |
| ✓ | 33.3b | (+.f64 5/6 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t)) |
| ✓ | 33.3b | (-.f64 (/.f64 (-.f64 t 2/9) t) (+.f64 (/.f64 -1/27 (*.f64 t t)) 1/6)) |
| ✓ | 29.6b | (+.f64 1/2 (*.f64 t t)) |
Compiled 178 to 143 computations (19.7% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (/.f64 -2/9 t) | |
| 0.0b | (+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (+.f64 1 (/.f64 1/27 (*.f64 t t)))) | |
| 0.0b | (+.f64 -1/6 (/.f64 -2/9 t)) | |
| 0.0b | (+.f64 1 (/.f64 1/27 (*.f64 t t))) | |
| ✓ | 0.0b | (+.f64 -1/6 (/.f64 -2/9 t)) |
| ✓ | 0.0b | (+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (+.f64 1 (/.f64 1/27 (*.f64 t t)))) |
| 0.3b | (/.f64 -2/9 t) | |
| 0.6b | (/.f64 1/27 (*.f64 t t)) |
Compiled 42 to 27 computations (35.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | t | @ | 0 | (+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (+.f64 1 (/.f64 1/27 (*.f64 t t)))) |
| 0.0ms | t | @ | inf | (+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (+.f64 1 (/.f64 1/27 (*.f64 t t)))) |
| 0.0ms | t | @ | -inf | (+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (+.f64 1 (/.f64 1/27 (*.f64 t t)))) |
| 0.0ms | t | @ | 0 | (+.f64 -1/6 (/.f64 -2/9 t)) |
| 0.0ms | t | @ | inf | (+.f64 -1/6 (/.f64 -2/9 t)) |
| 1× | batch-egg-rewrite |
| 89× | egg-rr |
| 33× | egg-rr |
| Inputs |
|---|
(+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (+.f64 1 (/.f64 1/27 (*.f64 t t)))) |
(+.f64 -1/6 (/.f64 -2/9 t)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) -1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) -1/6) 0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) -1/6) (/.f64 (+.f64 -2/9 t) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 0 (+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 -2/9 t) t) (+.f64 (/.f64 1/27 (*.f64 t t)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 5/6) 0) (+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 5/6) (*.f64 (+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 5/6) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 5/6)) (+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 5/6) (*.f64 0 (+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -2/9 t) 5/6) (/.f64 1/27 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/6 (+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) -1/6) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (fma.f64 1/27 (pow.f64 t -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/27 (pow.f64 t -2) 1) (+.f64 -1/6 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/27 (*.f64 t t)) 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t) 5/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 5/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 5/6)) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 5/6)) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 5/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (neg.f64 (+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 5/6))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 5/6) -1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 5/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 1/27 (pow.f64 t -2) 1)) (cbrt.f64 (pow.f64 (fma.f64 1/27 (pow.f64 t -2) 1) 2)) (+.f64 -1/6 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 -1/6) (cbrt.f64 1/36) (+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 -1/6 (/.f64 -2/9 t))) (cbrt.f64 (pow.f64 (+.f64 -1/6 (/.f64 -2/9 t)) 2)) (fma.f64 1/27 (pow.f64 t -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/27 (pow.f64 t -2) 1) (+.f64 -1/6 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 -1/6 (+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 -1/6 (/.f64 -2/9 t)) (fma.f64 1/27 (pow.f64 t -2) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/6 (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2/9 t) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 -1/6 (/.f64 -2/9 t)) 0) (+.f64 -1/6 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (*.f64 (+.f64 -1/6 (/.f64 -2/9 t)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (+.f64 -1/6 (/.f64 -2/9 t))) (+.f64 -1/6 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (*.f64 0 (+.f64 -1/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1/6 (/.f64 2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -1/6 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1/6 (/.f64 -2/9 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 1/6 (/.f64 2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 -1/216 (pow.f64 (/.f64 -2/9 t) 3))) (/.f64 1 (neg.f64 (+.f64 1/36 (fma.f64 4/81 (pow.f64 t -2) (/.f64 -1/27 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 -1/6 (/.f64 -2/9 t))) (cbrt.f64 (pow.f64 (+.f64 -1/6 (/.f64 -2/9 t)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 1/36) (-.f64 (cbrt.f64 (/.f64 4/81 (*.f64 t t))) (cbrt.f64 (/.f64 1/27 t)))) (+.f64 (cbrt.f64 -1/6) (cbrt.f64 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (/.f64 4/81 (*.f64 t t))) (-.f64 (cbrt.f64 1/36) (cbrt.f64 (/.f64 1/27 t)))) (+.f64 (cbrt.f64 (/.f64 -2/9 t)) (cbrt.f64 -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1/216 (pow.f64 (/.f64 -2/9 t) 3)) (/.f64 1 (+.f64 1/36 (fma.f64 4/81 (pow.f64 t -2) (/.f64 -1/27 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 -1/6 (/.f64 -2/9 t)) 2)) (cbrt.f64 (+.f64 -1/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1/216 (pow.f64 (/.f64 -2/9 t) 3)) (cbrt.f64 (+.f64 1/36 (fma.f64 4/81 (pow.f64 t -2) (/.f64 -1/27 t))))) (pow.f64 (cbrt.f64 (+.f64 1/36 (fma.f64 4/81 (pow.f64 t -2) (/.f64 -1/27 t)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/6 (/.f64 -2/9 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/216 (pow.f64 (/.f64 -2/9 t) 3)) (+.f64 1/36 (fma.f64 4/81 (pow.f64 t -2) (/.f64 -1/27 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1/216 (pow.f64 (/.f64 -2/9 t) 3))) (neg.f64 (+.f64 1/36 (fma.f64 4/81 (pow.f64 t -2) (/.f64 -1/27 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1/216 (pow.f64 (/.f64 -2/9 t) 3)) 1) (+.f64 1/36 (fma.f64 4/81 (pow.f64 t -2) (/.f64 -1/27 t))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -1/6 (/.f64 -2/9 t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1/6 (/.f64 -2/9 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 -1/6 (/.f64 -2/9 t))) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 -1/6 (/.f64 -2/9 t))) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 -1/6 (/.f64 -2/9 t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 1/6 (/.f64 2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 -1/6 (/.f64 -2/9 t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 -1/6) (cbrt.f64 1/36) (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -2/9 t)) (cbrt.f64 (/.f64 4/81 (*.f64 t t))) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 -1/6 (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2/9 (/.f64 1 t) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -2/9 t) -1/6))))) |
| 1× | egg-herbie |
| Inputs |
|---|
(/.f64 1/27 (pow.f64 t 2)) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t))) |
5/6 |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t))) |
5/6 |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t))) |
(/.f64 -2/9 t) |
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))) |
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))) |
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))) |
-1/6 |
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))) |
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))) |
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))) |
-1/6 |
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))) |
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))) |
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))) |
| Outputs |
|---|
(/.f64 1/27 (pow.f64 t 2)) |
(/.f64 1/27 (*.f64 t t)) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(/.f64 (-.f64 (/.f64 1/27 t) 2/9) t) |
(-.f64 (+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t))) |
(+.f64 5/6 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t)) |
(-.f64 (+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t))) |
(+.f64 5/6 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t)) |
5/6 |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t))) |
(+.f64 5/6 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t)) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t))) |
(+.f64 5/6 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t)) |
5/6 |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t))) |
(+.f64 5/6 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t)) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t))) |
(+.f64 5/6 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t)) |
(/.f64 -2/9 t) |
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))) |
(+.f64 (/.f64 -2/9 t) -1/6) |
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))) |
(+.f64 (/.f64 -2/9 t) -1/6) |
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))) |
(+.f64 (/.f64 -2/9 t) -1/6) |
-1/6 |
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))) |
(+.f64 (/.f64 -2/9 t) -1/6) |
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))) |
(+.f64 (/.f64 -2/9 t) -1/6) |
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))) |
(+.f64 (/.f64 -2/9 t) -1/6) |
-1/6 |
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))) |
(+.f64 (/.f64 -2/9 t) -1/6) |
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))) |
(+.f64 (/.f64 -2/9 t) -1/6) |
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))) |
(+.f64 (/.f64 -2/9 t) -1/6) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 2.7b | (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2) | |
| 0.0b | (*.f64 (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2) (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2)) | |
| 0.0b | (/.f64 (+.f64 t 1) t) | |
| 0.0b | (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) | |
| ✓ | 0.0b | (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) |
| ✓ | 0.0b | (/.f64 (+.f64 t 1) t) |
| 0.0b | (*.f64 (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2) (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2)) | |
| 2.7b | (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2) |
Compiled 164 to 123 computations (25% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | t | @ | -inf | (/.f64 (+.f64 t 1) t) |
| 0.0ms | t | @ | 0 | (/.f64 (+.f64 t 1) t) |
| 0.0ms | t | @ | inf | (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) |
| 0.0ms | t | @ | inf | (/.f64 (+.f64 t 1) t) |
| 0.0ms | t | @ | -inf | (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) |
| 1× | batch-egg-rewrite |
| 147× | egg-rr |
| 77× | egg-rr |
| Inputs |
|---|
(/.f64 (+.f64 t 1) t) |
(/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (/.f64 (+.f64 t 1) t)) (neg.f64 t)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (/.f64 (+.f64 t 1) t)) (cbrt.f64 (*.f64 t t))) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (/.f64 (+.f64 t 1) t)) (cbrt.f64 t)) (cbrt.f64 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (/.f64 (+.f64 t 1) t)) -1) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 -2 (/.f64 (+.f64 t 1) t)) -1) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 -2 (/.f64 (+.f64 t 1) t)) 1) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 -2 (/.f64 (+.f64 t 1) t)) (cbrt.f64 (neg.f64 t))) (cbrt.f64 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 -2 (/.f64 (+.f64 t 1) t)) (cbrt.f64 t)) (neg.f64 (cbrt.f64 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (/.f64 8 t)) -1) (*.f64 (cbrt.f64 (*.f64 t t)) (/.f64 (-.f64 -1 t) t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (/.f64 8 t)) 1) (*.f64 (cbrt.f64 (*.f64 t t)) (/.f64 (+.f64 t 1) t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (/.f64 8 t)) (cbrt.f64 (/.f64 t (+.f64 t 1)))) (*.f64 (cbrt.f64 (*.f64 t t)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 t 1) t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (/.f64 8 t)) (/.f64 1 (+.f64 t 1))) (*.f64 (cbrt.f64 (*.f64 t t)) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (*.f64 t 1/2) (/.f64 (-.f64 -1 t) t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 t 1/2) (/.f64 (+.f64 t 1) t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 t (+.f64 t 1))) (*.f64 (*.f64 t 1/2) (cbrt.f64 (pow.f64 (/.f64 (+.f64 t 1) t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (+.f64 t 1)) (*.f64 (*.f64 t 1/2) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 8 (/.f64 (+.f64 t 1) t))) (*.f64 t (cbrt.f64 (pow.f64 (/.f64 (+.f64 t 1) t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (+.f64 t 1)) (*.f64 t (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (neg.f64 (neg.f64 (/.f64 (fma.f64 t t t) t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (/.f64 2 t) (cbrt.f64 (/.f64 t (+.f64 t 1))))) (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 t 1) t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (/.f64 -2 t) (-.f64 -1 t))) (/.f64 -1 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (-.f64 -1 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (+.f64 t 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 2 (+.f64 t 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (+.f64 t 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (+.f64 t 1))) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (+.f64 t 1))) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 2 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (neg.f64 (/.f64 2 (+.f64 t 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 -2 t) (/.f64 t (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -2 (/.f64 1 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 t (+.f64 t 1)) (/.f64 -2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -2 (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 2 (+.f64 t 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 8 (pow.f64 (+.f64 t 1) 3))))))) |
| 1× | egg-herbie |
| Inputs |
|---|
(/.f64 1 t) |
(+.f64 1 (/.f64 1 t)) |
(+.f64 1 (/.f64 1 t)) |
(+.f64 1 (/.f64 1 t)) |
1 |
(+.f64 1 (/.f64 1 t)) |
(+.f64 1 (/.f64 1 t)) |
(+.f64 1 (/.f64 1 t)) |
1 |
(+.f64 1 (/.f64 1 t)) |
(+.f64 1 (/.f64 1 t)) |
(+.f64 1 (/.f64 1 t)) |
2 |
(+.f64 2 (*.f64 -2 t)) |
(+.f64 2 (+.f64 (*.f64 -2 t) (*.f64 2 (pow.f64 t 2)))) |
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 2 (+.f64 (*.f64 -2 t) (*.f64 2 (pow.f64 t 2))))) |
(/.f64 2 t) |
(-.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 2)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))) (*.f64 2 (/.f64 1 (pow.f64 t 2)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 4))) (*.f64 2 (/.f64 1 (pow.f64 t 2))))) |
(/.f64 2 t) |
(-.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 2)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))) (*.f64 2 (/.f64 1 (pow.f64 t 2)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 4))) (*.f64 2 (/.f64 1 (pow.f64 t 2))))) |
| Outputs |
|---|
(/.f64 1 t) |
(+.f64 1 (/.f64 1 t)) |
(+.f64 1 (/.f64 1 t)) |
(+.f64 1 (/.f64 1 t)) |
1 |
(+.f64 1 (/.f64 1 t)) |
(+.f64 1 (/.f64 1 t)) |
(+.f64 1 (/.f64 1 t)) |
1 |
(+.f64 1 (/.f64 1 t)) |
(+.f64 1 (/.f64 1 t)) |
(+.f64 1 (/.f64 1 t)) |
2 |
(+.f64 2 (*.f64 -2 t)) |
(fma.f64 t -2 2) |
(+.f64 2 (+.f64 (*.f64 -2 t) (*.f64 2 (pow.f64 t 2)))) |
(+.f64 (*.f64 2 (*.f64 t (-.f64 t 1))) 2) |
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 2 (+.f64 (*.f64 -2 t) (*.f64 2 (pow.f64 t 2))))) |
(+.f64 (fma.f64 t -2 2) (*.f64 (*.f64 t t) (fma.f64 t -2 2))) |
(/.f64 2 t) |
(-.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 2)))) |
(/.f64 (-.f64 2 (/.f64 2 t)) t) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))) (*.f64 2 (/.f64 1 (pow.f64 t 2)))) |
(fma.f64 (pow.f64 t -3) 2 (/.f64 (-.f64 2 (/.f64 2 t)) t)) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 4))) (*.f64 2 (/.f64 1 (pow.f64 t 2))))) |
(*.f64 2 (-.f64 (+.f64 (pow.f64 t -3) (/.f64 1 t)) (+.f64 (pow.f64 t -2) (pow.f64 t -4)))) |
(/.f64 2 t) |
(-.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 2)))) |
(/.f64 (-.f64 2 (/.f64 2 t)) t) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))) (*.f64 2 (/.f64 1 (pow.f64 t 2)))) |
(fma.f64 (pow.f64 t -3) 2 (/.f64 (-.f64 2 (/.f64 2 t)) t)) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 4))) (*.f64 2 (/.f64 1 (pow.f64 t 2))))) |
(*.f64 2 (-.f64 (+.f64 (pow.f64 t -3) (/.f64 1 t)) (+.f64 (pow.f64 t -2) (pow.f64 t -4)))) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 1 (+.f64 2 (*.f64 (*.f64 t 2) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))) | |
| 0.0b | (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))) | |
| 0.0b | (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t 2) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))) | |
| 0.0b | (+.f64 1 (/.f64 1 t)) | |
| ✓ | 0.0b | (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))) |
| ✓ | 0.0b | (/.f64 1 (+.f64 2 (*.f64 (*.f64 t 2) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))) |
| ✓ | 0.0b | (*.f64 (*.f64 t 2) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))) |
| 2.7b | (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) |
Compiled 110 to 89 computations (19.1% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | t | @ | 0 | (*.f64 (*.f64 t 2) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))) |
| 0.0ms | t | @ | inf | (/.f64 1 (+.f64 2 (*.f64 (*.f64 t 2) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))) |
| 0.0ms | t | @ | -inf | (/.f64 1 (+.f64 2 (*.f64 (*.f64 t 2) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))) |
| 0.0ms | t | @ | inf | (*.f64 (*.f64 t 2) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))) |
| 0.0ms | t | @ | 0 | (/.f64 1 (+.f64 2 (*.f64 (*.f64 t 2) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))) |
| 1× | batch-egg-rewrite |
| 65× | egg-rr |
| 50× | egg-rr |
| 36× | egg-rr |
| Inputs |
|---|
(*.f64 (*.f64 t 2) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))) |
(/.f64 1 (+.f64 2 (*.f64 (*.f64 t 2) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))) |
(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| Inputs |
|---|
(*.f64 4 (pow.f64 t 2)) |
(+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))) |
(+.f64 (*.f64 4 (pow.f64 t 4)) (+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))) |
(+.f64 (*.f64 4 (pow.f64 t 4)) (+.f64 (*.f64 -4 (pow.f64 t 3)) (+.f64 (*.f64 -4 (pow.f64 t 5)) (*.f64 4 (pow.f64 t 2))))) |
(*.f64 4 t) |
(-.f64 (*.f64 4 t) 4) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 t)) 4) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 t)) (+.f64 4 (*.f64 4 (/.f64 1 (pow.f64 t 2))))) |
(*.f64 4 t) |
(-.f64 (*.f64 4 t) 4) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 t)) 4) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 t)) (+.f64 4 (*.f64 4 (/.f64 1 (pow.f64 t 2))))) |
1/2 |
(+.f64 (*.f64 -1 (pow.f64 t 2)) 1/2) |
(+.f64 (*.f64 -1 (pow.f64 t 2)) (+.f64 1/2 (pow.f64 t 3))) |
(+.f64 (*.f64 -1 (pow.f64 t 2)) (+.f64 1/2 (+.f64 (pow.f64 t 4) (pow.f64 t 3)))) |
(/.f64 1/4 t) |
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 2))) (*.f64 1/4 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 2))) (*.f64 1/4 (/.f64 1 t))) (*.f64 3/16 (/.f64 1 (pow.f64 t 3)))) |
(-.f64 (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 t 4))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 2))) (*.f64 1/4 (/.f64 1 t)))) (*.f64 3/16 (/.f64 1 (pow.f64 t 3)))) |
(/.f64 1/4 t) |
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 2))) (*.f64 1/4 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 2))) (*.f64 1/4 (/.f64 1 t))) (*.f64 3/16 (/.f64 1 (pow.f64 t 3)))) |
(-.f64 (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 t 4))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 2))) (*.f64 1/4 (/.f64 1 t)))) (*.f64 3/16 (/.f64 1 (pow.f64 t 3)))) |
2 |
(+.f64 2 (*.f64 -2 t)) |
(+.f64 2 (+.f64 (*.f64 -2 t) (*.f64 2 (pow.f64 t 2)))) |
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 2 (+.f64 (*.f64 -2 t) (*.f64 2 (pow.f64 t 2))))) |
(/.f64 2 t) |
(-.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 2)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))) (*.f64 2 (/.f64 1 (pow.f64 t 2)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 4))) (*.f64 2 (/.f64 1 (pow.f64 t 2))))) |
(/.f64 2 t) |
(-.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 2)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))) (*.f64 2 (/.f64 1 (pow.f64 t 2)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 4))) (*.f64 2 (/.f64 1 (pow.f64 t 2))))) |
| Outputs |
|---|
(*.f64 4 (pow.f64 t 2)) |
(*.f64 4 (*.f64 t t)) |
(+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))) |
(fma.f64 -4 (pow.f64 t 3) (*.f64 4 (*.f64 t t))) |
(+.f64 (*.f64 4 (pow.f64 t 4)) (+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))) |
(fma.f64 4 (pow.f64 t 4) (fma.f64 -4 (pow.f64 t 3) (*.f64 4 (*.f64 t t)))) |
(+.f64 (*.f64 4 (pow.f64 t 4)) (+.f64 (*.f64 -4 (pow.f64 t 3)) (+.f64 (*.f64 -4 (pow.f64 t 5)) (*.f64 4 (pow.f64 t 2))))) |
(fma.f64 4 (pow.f64 t 4) (+.f64 (*.f64 -4 (+.f64 (pow.f64 t 3) (pow.f64 t 5))) (*.f64 4 (*.f64 t t)))) |
(*.f64 4 t) |
(-.f64 (*.f64 4 t) 4) |
(fma.f64 4 t -4) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 t)) 4) |
(+.f64 (/.f64 4 t) (fma.f64 4 t -4)) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 t)) (+.f64 4 (*.f64 4 (/.f64 1 (pow.f64 t 2))))) |
(-.f64 (fma.f64 4 t (/.f64 4 t)) (fma.f64 4 (pow.f64 t -2) 4)) |
(*.f64 4 t) |
(-.f64 (*.f64 4 t) 4) |
(fma.f64 4 t -4) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 t)) 4) |
(+.f64 (/.f64 4 t) (fma.f64 4 t -4)) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 t)) (+.f64 4 (*.f64 4 (/.f64 1 (pow.f64 t 2))))) |
(-.f64 (fma.f64 4 t (/.f64 4 t)) (fma.f64 4 (pow.f64 t -2) 4)) |
1/2 |
(+.f64 (*.f64 -1 (pow.f64 t 2)) 1/2) |
(-.f64 1/2 (*.f64 t t)) |
(+.f64 (*.f64 -1 (pow.f64 t 2)) (+.f64 1/2 (pow.f64 t 3))) |
(-.f64 (+.f64 1/2 (pow.f64 t 3)) (*.f64 t t)) |
(+.f64 (*.f64 -1 (pow.f64 t 2)) (+.f64 1/2 (+.f64 (pow.f64 t 4) (pow.f64 t 3)))) |
(-.f64 (+.f64 (+.f64 1/2 (pow.f64 t 3)) (pow.f64 t 4)) (*.f64 t t)) |
(/.f64 1/4 t) |
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 2))) (*.f64 1/4 (/.f64 1 t))) |
(fma.f64 1/8 (pow.f64 t -2) (/.f64 1/4 t)) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 2))) (*.f64 1/4 (/.f64 1 t))) (*.f64 3/16 (/.f64 1 (pow.f64 t 3)))) |
(+.f64 (fma.f64 1/8 (pow.f64 t -2) (/.f64 1/4 t)) (*.f64 -3/16 (pow.f64 t -3))) |
(-.f64 (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 t 4))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 2))) (*.f64 1/4 (/.f64 1 t)))) (*.f64 3/16 (/.f64 1 (pow.f64 t 3)))) |
(+.f64 (fma.f64 1/32 (pow.f64 t -4) (fma.f64 1/8 (pow.f64 t -2) (/.f64 1/4 t))) (*.f64 -3/16 (pow.f64 t -3))) |
(/.f64 1/4 t) |
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 2))) (*.f64 1/4 (/.f64 1 t))) |
(fma.f64 1/8 (pow.f64 t -2) (/.f64 1/4 t)) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 2))) (*.f64 1/4 (/.f64 1 t))) (*.f64 3/16 (/.f64 1 (pow.f64 t 3)))) |
(+.f64 (fma.f64 1/8 (pow.f64 t -2) (/.f64 1/4 t)) (*.f64 -3/16 (pow.f64 t -3))) |
(-.f64 (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 t 4))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 2))) (*.f64 1/4 (/.f64 1 t)))) (*.f64 3/16 (/.f64 1 (pow.f64 t 3)))) |
(+.f64 (fma.f64 1/32 (pow.f64 t -4) (fma.f64 1/8 (pow.f64 t -2) (/.f64 1/4 t))) (*.f64 -3/16 (pow.f64 t -3))) |
2 |
(+.f64 2 (*.f64 -2 t)) |
(fma.f64 -2 t 2) |
(+.f64 2 (+.f64 (*.f64 -2 t) (*.f64 2 (pow.f64 t 2)))) |
(+.f64 (fma.f64 -2 t 2) (*.f64 2 (*.f64 t t))) |
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 2 (+.f64 (*.f64 -2 t) (*.f64 2 (pow.f64 t 2))))) |
(+.f64 (fma.f64 -2 (pow.f64 t 3) 2) (fma.f64 -2 t (*.f64 2 (*.f64 t t)))) |
(/.f64 2 t) |
(-.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 2)))) |
(+.f64 (/.f64 2 t) (/.f64 -2 (*.f64 t t))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))) (*.f64 2 (/.f64 1 (pow.f64 t 2)))) |
(*.f64 2 (-.f64 (+.f64 (pow.f64 t -3) (/.f64 1 t)) (pow.f64 t -2))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 4))) (*.f64 2 (/.f64 1 (pow.f64 t 2))))) |
(*.f64 2 (-.f64 (+.f64 (pow.f64 t -3) (/.f64 1 t)) (+.f64 (pow.f64 t -4) (pow.f64 t -2)))) |
(/.f64 2 t) |
(-.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 2)))) |
(+.f64 (/.f64 2 t) (/.f64 -2 (*.f64 t t))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))) (*.f64 2 (/.f64 1 (pow.f64 t 2)))) |
(*.f64 2 (-.f64 (+.f64 (pow.f64 t -3) (/.f64 1 t)) (pow.f64 t -2))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 4))) (*.f64 2 (/.f64 1 (pow.f64 t 2))))) |
(*.f64 2 (-.f64 (+.f64 (pow.f64 t -3) (/.f64 1 t)) (+.f64 (pow.f64 t -4) (pow.f64 t -2)))) |
Compiled 98829 to 77626 computations (21.5% saved)
12 alts after pruning (3 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2038 | 1 | 2039 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 8 | 9 |
| Total | 2039 | 12 | 2051 |
| Status | Error | Program |
|---|---|---|
| ✓ | 61.8b | (/.f64 1/27 (*.f64 t t)) |
| 27.7b | 5/6 | |
| 0.0b | (/.f64 (+.f64 (-.f64 -2 (*.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) (+.f64 (/.f64 2 (+.f64 t 1)) -2))) 1) (-.f64 -2 (*.f64 (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2) (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2)))) | |
| 24.5b | 1/2 | |
| ✓ | 33.1b | (+.f64 5/6 (/.f64 -2/9 t)) |
| ✓ | 33.3b | (+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (+.f64 1 (/.f64 1/27 (*.f64 t t)))) |
| ✓ | 24.0b | (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t 2) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))) |
| ✓ | 24.0b | (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 4 (*.f64 t t))))) |
| ✓ | 0.0b | (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))) |
| ✓ | 33.3b | (+.f64 5/6 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t)) |
| ✓ | 33.3b | (-.f64 (/.f64 (-.f64 t 2/9) t) (+.f64 (/.f64 -1/27 (*.f64 t t)) 1/6)) |
| ✓ | 29.6b | (+.f64 1/2 (*.f64 t t)) |
Compiled 170 to 139 computations (18.2% saved)
| Inputs |
|---|
5/6 |
1/2 |
(/.f64 1/27 (*.f64 t t)) |
(+.f64 1/2 (*.f64 t t)) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 1 (-.f64 1/2 (*.f64 t t))) |
(+.f64 5/6 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t)) |
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 4 (*.f64 t t))))) |
(+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (+.f64 1 (/.f64 1/27 (*.f64 t t)))) |
(-.f64 (/.f64 (-.f64 t 2/9) t) (+.f64 (/.f64 -1/27 (*.f64 t t)) 1/6)) |
(-.f64 1 (+.f64 (+.f64 1/6 (/.f64 2/9 t)) (/.f64 -1/27 (*.f64 t t)))) |
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t 2) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))) |
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))) |
(/.f64 (+.f64 (-.f64 -2 (*.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) (+.f64 (/.f64 2 (+.f64 t 1)) -2))) 1) (-.f64 -2 (*.f64 (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2) (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2)))) |
(/.f64 (+.f64 (-.f64 -2 (*.f64 (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2) (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2))) 1) (-.f64 -2 (*.f64 (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2) (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2)))) |
(/.f64 (+.f64 (-.f64 -2 (*.f64 (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2) (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2))) 1) (-.f64 -2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2))) |
(-.f64 1 (/.f64 1 (+.f64 2 (pow.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 6) 1/3)))) |
(/.f64 (+.f64 (-.f64 -2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2)) 1) (-.f64 -2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2))) |
| Outputs |
|---|
(/.f64 (+.f64 (-.f64 -2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2)) 1) (-.f64 -2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2))) |
13 calls:
| 17.0ms | t |
| 8.0ms | (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))) |
| 6.0ms | (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))) |
| 5.0ms | (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) |
| 4.0ms | (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) |
| Error | Segments | Branch |
|---|---|---|
| 0b | 1 | t |
| 0b | 1 | (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))) |
| 0b | 1 | (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))) |
| 0b | 1 | (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))) |
| 0b | 1 | (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))) |
| 0b | 1 | (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) |
| 0b | 1 | (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) |
| 0b | 1 | (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))) |
| 0b | 1 | (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))) |
| 0b | 1 | (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) |
| 0b | 1 | (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) |
| 0b | 1 | (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))) |
| 0b | 1 | (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))) |
Compiled 591 to 482 computations (18.4% saved)
| Inputs |
|---|
5/6 |
1/2 |
(/.f64 1/27 (*.f64 t t)) |
(+.f64 1/2 (*.f64 t t)) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 1 (-.f64 1/2 (*.f64 t t))) |
(+.f64 5/6 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t)) |
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 4 (*.f64 t t))))) |
(+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (+.f64 1 (/.f64 1/27 (*.f64 t t)))) |
(-.f64 (/.f64 (-.f64 t 2/9) t) (+.f64 (/.f64 -1/27 (*.f64 t t)) 1/6)) |
(-.f64 1 (+.f64 (+.f64 1/6 (/.f64 2/9 t)) (/.f64 -1/27 (*.f64 t t)))) |
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t 2) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))) |
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))) |
(/.f64 (+.f64 (-.f64 -2 (*.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) (+.f64 (/.f64 2 (+.f64 t 1)) -2))) 1) (-.f64 -2 (*.f64 (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2) (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2)))) |
(/.f64 (+.f64 (-.f64 -2 (*.f64 (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2) (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2))) 1) (-.f64 -2 (*.f64 (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2) (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2)))) |
(/.f64 (+.f64 (-.f64 -2 (*.f64 (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2) (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2))) 1) (-.f64 -2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2))) |
(-.f64 1 (/.f64 1 (+.f64 2 (pow.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 6) 1/3)))) |
| Outputs |
|---|
(/.f64 (+.f64 (-.f64 -2 (*.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) (+.f64 (/.f64 2 (+.f64 t 1)) -2))) 1) (-.f64 -2 (*.f64 (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2) (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2)))) |
13 calls:
| 18.0ms | (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))) |
| 11.0ms | (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))) |
| 8.0ms | t |
| 6.0ms | (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) |
| 5.0ms | (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | t |
| 0.0b | 1 | (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))) |
| 0.0b | 1 | (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))) |
| 0.0b | 1 | (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))) |
| 0.0b | 1 | (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))) |
| 0.0b | 1 | (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) |
| 0.0b | 1 | (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) |
| 0.0b | 1 | (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))) |
| 0.0b | 1 | (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))) |
| 0.0b | 1 | (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) |
| 0.0b | 1 | (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) |
| 0.0b | 1 | (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))) |
| 0.0b | 1 | (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))) |
Compiled 558 to 453 computations (18.8% saved)
| Inputs |
|---|
5/6 |
1/2 |
(/.f64 1/27 (*.f64 t t)) |
(+.f64 1/2 (*.f64 t t)) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 1 (-.f64 1/2 (*.f64 t t))) |
(+.f64 5/6 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t)) |
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 4 (*.f64 t t))))) |
(+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (+.f64 1 (/.f64 1/27 (*.f64 t t)))) |
(-.f64 (/.f64 (-.f64 t 2/9) t) (+.f64 (/.f64 -1/27 (*.f64 t t)) 1/6)) |
(-.f64 1 (+.f64 (+.f64 1/6 (/.f64 2/9 t)) (/.f64 -1/27 (*.f64 t t)))) |
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t 2) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))) |
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))) |
| Outputs |
|---|
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))) |
7 calls:
| 8.0ms | t |
| 6.0ms | (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))) |
| 4.0ms | (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) |
| 3.0ms | (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))) |
| 3.0ms | (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | t |
| 0.0b | 1 | (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))) |
| 0.0b | 1 | (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))) |
| 0.0b | 1 | (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) |
| 0.0b | 1 | (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))) |
| 0.0b | 1 | (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) |
| 0.0b | 1 | (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))) |
Compiled 266 to 211 computations (20.7% saved)
| Inputs |
|---|
5/6 |
1/2 |
(/.f64 1/27 (*.f64 t t)) |
(+.f64 1/2 (*.f64 t t)) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 1 (-.f64 1/2 (*.f64 t t))) |
(+.f64 5/6 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t)) |
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 4 (*.f64 t t))))) |
(+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (+.f64 1 (/.f64 1/27 (*.f64 t t)))) |
(-.f64 (/.f64 (-.f64 t 2/9) t) (+.f64 (/.f64 -1/27 (*.f64 t t)) 1/6)) |
(-.f64 1 (+.f64 (+.f64 1/6 (/.f64 2/9 t)) (/.f64 -1/27 (*.f64 t t)))) |
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t 2) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))) |
| Outputs |
|---|
(+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (+.f64 1 (/.f64 1/27 (*.f64 t t)))) |
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t 2) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))) |
(+.f64 5/6 (/.f64 -2/9 t)) |
1 calls:
| 19.0ms | t |
| Error | Segments | Branch |
|---|---|---|
| 0.5b | 3 | t |
Compiled 107 to 76 computations (29% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 37.0ms | 0.12462912159661302 | 126887446.12454449 |
| 32.0ms | -9.434969598260269 | -0.24778074537980832 |
Compiled 34 to 29 computations (14.7% saved)
| Inputs |
|---|
5/6 |
1/2 |
(/.f64 1/27 (*.f64 t t)) |
(+.f64 1/2 (*.f64 t t)) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 1 (-.f64 1/2 (*.f64 t t))) |
(+.f64 5/6 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t)) |
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 4 (*.f64 t t))))) |
(+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (+.f64 1 (/.f64 1/27 (*.f64 t t)))) |
(-.f64 (/.f64 (-.f64 t 2/9) t) (+.f64 (/.f64 -1/27 (*.f64 t t)) 1/6)) |
(-.f64 1 (+.f64 (+.f64 1/6 (/.f64 2/9 t)) (/.f64 -1/27 (*.f64 t t)))) |
| Outputs |
|---|
(+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (+.f64 1 (/.f64 1/27 (*.f64 t t)))) |
(+.f64 1/2 (*.f64 t t)) |
(+.f64 5/6 (/.f64 -2/9 t)) |
1 calls:
| 21.0ms | t |
| Error | Segments | Branch |
|---|---|---|
| 0.6b | 3 | t |
Compiled 86 to 58 computations (32.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 31.0ms | 0.12462912159661302 | 126887446.12454449 |
| 36.0ms | -9.434969598260269 | -0.24778074537980832 |
Compiled 34 to 29 computations (14.7% saved)
| Inputs |
|---|
5/6 |
1/2 |
(/.f64 1/27 (*.f64 t t)) |
(+.f64 1/2 (*.f64 t t)) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 1 (-.f64 1/2 (*.f64 t t))) |
(+.f64 5/6 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t)) |
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 4 (*.f64 t t))))) |
| Outputs |
|---|
(+.f64 5/6 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t)) |
(+.f64 1/2 (*.f64 t t)) |
(+.f64 5/6 (/.f64 -2/9 t)) |
1 calls:
| 14.0ms | t |
| Error | Segments | Branch |
|---|---|---|
| 0.6b | 3 | t |
Compiled 47 to 32 computations (31.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 45.0ms | 0.12462912159661302 | 126887446.12454449 |
| 36.0ms | -9.434969598260269 | -0.24778074537980832 |
Compiled 34 to 29 computations (14.7% saved)
| Inputs |
|---|
5/6 |
1/2 |
(/.f64 1/27 (*.f64 t t)) |
(+.f64 1/2 (*.f64 t t)) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 1 (-.f64 1/2 (*.f64 t t))) |
| Outputs |
|---|
(+.f64 5/6 (/.f64 -2/9 t)) |
(+.f64 1/2 (*.f64 t t)) |
(+.f64 5/6 (/.f64 -2/9 t)) |
1 calls:
| 13.0ms | t |
| Error | Segments | Branch |
|---|---|---|
| 0.6b | 3 | t |
Compiled 27 to 17 computations (37% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 32.0ms | 0.12462912159661302 | 126887446.12454449 |
| 33.0ms | -9.434969598260269 | -0.24778074537980832 |
Compiled 34 to 29 computations (14.7% saved)
| Inputs |
|---|
5/6 |
1/2 |
(/.f64 1/27 (*.f64 t t)) |
(+.f64 1/2 (*.f64 t t)) |
| Outputs |
|---|
5/6 |
(+.f64 1/2 (*.f64 t t)) |
5/6 |
1 calls:
| 12.0ms | t |
| Error | Segments | Branch |
|---|---|---|
| 0.8b | 3 | t |
Compiled 15 to 9 computations (40% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 44.0ms | 0.12462912159661302 | 126887446.12454449 |
| 33.0ms | -9.434969598260269 | -0.24778074537980832 |
Compiled 34 to 29 computations (14.7% saved)
Total -61.0b remaining (-7593.2%)
Threshold costs -61.0b (-7593.2%)
| Inputs |
|---|
5/6 |
1/2 |
(/.f64 1/27 (*.f64 t t)) |
| Outputs |
|---|
5/6 |
1/2 |
5/6 |
1 calls:
| 9.0ms | t |
| Error | Segments | Branch |
|---|---|---|
| 0.8b | 3 | t |
Compiled 10 to 7 computations (30% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 58.0ms | 0.12462912159661302 | 126887446.12454449 |
| 32.0ms | -9.434969598260269 | -0.24778074537980832 |
Compiled 34 to 29 computations (14.7% saved)
| 1× | egg-herbie |
| 1× | fuel |
| Inputs |
|---|
(/.f64 (+.f64 (-.f64 -2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2)) 1) (-.f64 -2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2))) |
(/.f64 (+.f64 (-.f64 -2 (*.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) (+.f64 (/.f64 2 (+.f64 t 1)) -2))) 1) (-.f64 -2 (*.f64 (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2) (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2)))) |
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))) |
(if (<=.f64 t -5311415695872113/562949953421312) (+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (+.f64 1 (/.f64 1/27 (*.f64 t t)))) (if (<=.f64 t 4490237324656149/36028797018963968) (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t 2) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))) (+.f64 5/6 (/.f64 -2/9 t)))) |
(if (<=.f64 t -5311415695872113/562949953421312) (+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (+.f64 1 (/.f64 1/27 (*.f64 t t)))) (if (<=.f64 t 4490237324656149/36028797018963968) (+.f64 1/2 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))) |
(if (<=.f64 t -5311415695872113/562949953421312) (+.f64 5/6 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t)) (if (<=.f64 t 4490237324656149/36028797018963968) (+.f64 1/2 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))) |
(if (<=.f64 t -5311415695872113/562949953421312) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 4490237324656149/36028797018963968) (+.f64 1/2 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))) |
(if (<=.f64 t -5311415695872113/562949953421312) 5/6 (if (<=.f64 t 4490237324656149/36028797018963968) (+.f64 1/2 (*.f64 t t)) 5/6)) |
(if (<=.f64 t -5311415695872113/562949953421312) 5/6 (if (<=.f64 t 4490237324656149/36028797018963968) 1/2 5/6)) |
5/6 |
| Outputs |
|---|
(/.f64 (+.f64 (-.f64 -2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2)) 1) (-.f64 -2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2))) |
(/.f64 (-.f64 -2 (+.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2) -1)) (-.f64 -2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2))) |
(/.f64 (+.f64 (-.f64 -2 (*.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) (+.f64 (/.f64 2 (+.f64 t 1)) -2))) 1) (-.f64 -2 (*.f64 (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2) (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2)))) |
(/.f64 (-.f64 -2 (+.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) 2) -1)) (-.f64 -2 (pow.f64 (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2) 2))) |
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))) |
(+.f64 1 (/.f64 1 (-.f64 -2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2)))) |
(if (<=.f64 t -5311415695872113/562949953421312) (+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (+.f64 1 (/.f64 1/27 (*.f64 t t)))) (if (<=.f64 t 4490237324656149/36028797018963968) (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t 2) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))) (+.f64 5/6 (/.f64 -2/9 t)))) |
(if (<=.f64 t -5311415695872113/562949953421312) (+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (fma.f64 1/27 (pow.f64 t -2) 1)) (if (<=.f64 t 4490237324656149/36028797018963968) (+.f64 1 (/.f64 -1 (fma.f64 (*.f64 t 2) (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2))) (+.f64 5/6 (/.f64 -2/9 t)))) |
(if (<=.f64 t -5311415695872113/562949953421312) (+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (+.f64 1 (/.f64 1/27 (*.f64 t t)))) (if (<=.f64 t 4490237324656149/36028797018963968) (+.f64 1/2 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))) |
(if (<=.f64 t -5311415695872113/562949953421312) (+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (fma.f64 1/27 (pow.f64 t -2) 1)) (if (<=.f64 t 4490237324656149/36028797018963968) (fma.f64 t t 1/2) (+.f64 5/6 (/.f64 -2/9 t)))) |
(if (<=.f64 t -5311415695872113/562949953421312) (+.f64 5/6 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t)) (if (<=.f64 t 4490237324656149/36028797018963968) (+.f64 1/2 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))) |
(if (<=.f64 t -5311415695872113/562949953421312) (+.f64 5/6 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t)) (if (<=.f64 t 4490237324656149/36028797018963968) (fma.f64 t t 1/2) (+.f64 5/6 (/.f64 -2/9 t)))) |
(if (<=.f64 t -5311415695872113/562949953421312) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 4490237324656149/36028797018963968) (+.f64 1/2 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))) |
(if (<=.f64 t -5311415695872113/562949953421312) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 4490237324656149/36028797018963968) (fma.f64 t t 1/2) (+.f64 5/6 (/.f64 -2/9 t)))) |
(if (<=.f64 t -5311415695872113/562949953421312) 5/6 (if (<=.f64 t 4490237324656149/36028797018963968) (+.f64 1/2 (*.f64 t t)) 5/6)) |
(if (<=.f64 t -5311415695872113/562949953421312) 5/6 (if (<=.f64 t 4490237324656149/36028797018963968) (fma.f64 t t 1/2) 5/6)) |
(if (<=.f64 t -5311415695872113/562949953421312) 5/6 (if (<=.f64 t 4490237324656149/36028797018963968) 1/2 5/6)) |
5/6 |
Compiled 272 to 219 computations (19.5% saved)
Compiled 263 to 206 computations (21.7% saved)
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