Time bar (total: 6.0s)
| 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)
| 1.4s | 8256× | body | 256 | valid |
| 2× | egg-herbie |
| 716× | fma-def_binary64 |
| 418× | distribute-rgt-in_binary64 |
| 409× | div-sub_binary64 |
| 342× | times-frac_binary64 |
| 304× | distribute-lft-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 43 |
| 1 | 23 | 41 |
| 2 | 47 | 41 |
| 3 | 120 | 29 |
| 4 | 342 | 29 |
| 5 | 1344 | 26 |
| 6 | 4717 | 25 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | node limit |
| 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 (*.f64 (-.f64 2 (/.f64 2 (*.f64 (+.f64 1 (/.f64 1 t)) t))) (-.f64 2 (/.f64 2 (*.f64 (+.f64 1 (/.f64 1 t)) t))))))) |
(+.f64 1 (/.f64 -1 (fma.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t))))) (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 2))) |
(+.f64 1 (/.f64 -1 (fma.f64 (-.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t))))) (-.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 2))) |
(+.f64 1 (/.f64 -1 (fma.f64 (-.f64 2 (/.f64 2 (+.f64 1 t))) (-.f64 2 (/.f64 2 (+.f64 1 t))) 2))) |
(+.f64 1 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))) |
(+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))) |
Compiled 31 to 27 computations (12.9% saved)
| 1× | egg-herbie |
| 716× | fma-def_binary64 |
| 418× | distribute-rgt-in_binary64 |
| 409× | div-sub_binary64 |
| 342× | times-frac_binary64 |
| 304× | distribute-lft-in_binary64 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 43 |
| 1 | 23 | 41 |
| 2 | 47 | 41 |
| 3 | 120 | 29 |
| 4 | 342 | 29 |
| 5 | 1344 | 26 |
| 6 | 4717 | 25 |
| 1× | node limit |
| 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 (*.f64 (-.f64 2 (/.f64 2 (*.f64 (+.f64 1 (/.f64 1 t)) t))) (-.f64 2 (/.f64 2 (*.f64 (+.f64 1 (/.f64 1 t)) t))))))) |
(+.f64 1 (/.f64 -1 (fma.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t))))) (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 2))) |
(+.f64 1 (/.f64 -1 (fma.f64 (-.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t))))) (-.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 2))) |
(+.f64 1 (/.f64 -1 (fma.f64 (-.f64 2 (/.f64 2 (+.f64 1 t))) (-.f64 2 (/.f64 2 (+.f64 1 t))) 2))) |
(+.f64 1 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))) |
(+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))) |
Compiled 47 to 41 computations (12.8% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))) |
| ▶ | 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 48 to 42 computations (12.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))) |
| ✓ | 0.0b | (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) |
| ✓ | 0.0b | (+.f64 (/.f64 4 (+.f64 1 t)) -8) |
| ✓ | 0.0b | (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)) |
Compiled 78 to 66 computations (15.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | 0 | (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)) |
| 1.0ms | t | @ | inf | (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)) |
| 0.0ms | t | @ | -inf | (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)) |
| 0.0ms | t | @ | inf | (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) |
| 0.0ms | t | @ | inf | (+.f64 (/.f64 4 (+.f64 1 t)) -8) |
| 1× | batch-egg-rewrite |
| 501× | prod-diff_binary64 |
| 446× | fma-def_binary64 |
| 288× | log-div_binary64 |
| 276× | expm1-udef_binary64 |
| 276× | log1p-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 73 |
| 1 | 325 | 73 |
| 2 | 4410 | 73 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)) |
(+.f64 (/.f64 4 (+.f64 1 t)) -8) |
(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) |
(+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6) 2))) (/.f64 -1 (cbrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))) (sqrt.f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 216 (pow.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 3))) (+.f64 (pow.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 2) (-.f64 36 (/.f64 6 (/.f64 (+.f64 1 t) (+.f64 (/.f64 4 (+.f64 1 t)) -8))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 (pow.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 2) -36)) (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) -6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -6 (neg.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (pow.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (exp.f64 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 -1 (pow.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) 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(/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6) 2)) 1) (-.f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (cbrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6) 2))) (/.f64 -1 (cbrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))) (sqrt.f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)) -1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (+.f64 216 (pow.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 3))) (+.f64 (pow.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 2) (-.f64 36 (/.f64 6 (/.f64 (+.f64 1 t) (+.f64 (/.f64 4 (+.f64 1 t)) -8))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (+.f64 (pow.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 2) -36)) (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) -6) 1))))) |
| 1× | egg-herbie |
| 716× | times-frac_binary64 |
| 672× | cancel-sign-sub-inv_binary64 |
| 365× | fma-def_binary64 |
| 334× | distribute-rgt-out_binary64 |
| 327× | sub-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 613 |
| 1 | 266 | 592 |
| 2 | 695 | 586 |
| 3 | 1873 | 584 |
| 4 | 4666 | 584 |
| 1× | node limit |
| Inputs |
|---|
-1/2 |
(-.f64 (pow.f64 t 2) 1/2) |
(-.f64 (+.f64 (*.f64 -2 (pow.f64 t 3)) (pow.f64 t 2)) 1/2) |
(-.f64 (+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 (pow.f64 t 4) (pow.f64 t 2))) 1/2) |
-1/6 |
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 4/81 (/.f64 1 (pow.f64 t 3)))) (+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))) |
-1/6 |
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 4/81 (/.f64 1 (pow.f64 t 3)))) (+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))) |
-4 |
(-.f64 (*.f64 -4 t) 4) |
(-.f64 (+.f64 (*.f64 -4 t) (*.f64 4 (pow.f64 t 2))) 4) |
(-.f64 (+.f64 (*.f64 -4 t) (+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))) 4) |
-8 |
(-.f64 (*.f64 4 (/.f64 1 t)) 8) |
(-.f64 (*.f64 4 (/.f64 1 t)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 t 2))) 8)) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 (/.f64 1 (pow.f64 t 3)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 t 2))) 8)) |
-8 |
(-.f64 (*.f64 4 (/.f64 1 t)) 8) |
(-.f64 (*.f64 4 (/.f64 1 t)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 t 2))) 8)) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 (/.f64 1 (pow.f64 t 3)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 t 2))) 8)) |
-4 |
(-.f64 (*.f64 4 (pow.f64 t 2)) 4) |
(-.f64 (+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))) 4) |
(-.f64 (+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4)))) 4) |
(/.f64 -8 t) |
(-.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) (*.f64 8 (/.f64 1 t))) |
(-.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t)))) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) (*.f64 20 (/.f64 1 (pow.f64 t 4)))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t)))) |
(/.f64 -8 t) |
(-.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) (*.f64 8 (/.f64 1 t))) |
(-.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t)))) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) (*.f64 20 (/.f64 1 (pow.f64 t 4)))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t)))) |
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))) |
| Outputs |
|---|
-1/2 |
(-.f64 (pow.f64 t 2) 1/2) |
(+.f64 (*.f64 t t) -1/2) |
(fma.f64 t t -1/2) |
(-.f64 (+.f64 (*.f64 -2 (pow.f64 t 3)) (pow.f64 t 2)) 1/2) |
(+.f64 (fma.f64 -2 (pow.f64 t 3) (*.f64 t t)) -1/2) |
(fma.f64 -2 (pow.f64 t 3) (fma.f64 t t -1/2)) |
(fma.f64 t t (fma.f64 -2 (pow.f64 t 3) -1/2)) |
(-.f64 (+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 (pow.f64 t 4) (pow.f64 t 2))) 1/2) |
(+.f64 (fma.f64 -2 (pow.f64 t 3) (+.f64 (*.f64 t t) (pow.f64 t 4))) -1/2) |
(+.f64 (fma.f64 -2 (pow.f64 t 3) (pow.f64 t 4)) (fma.f64 t t -1/2)) |
(+.f64 (fma.f64 t t -1/2) (*.f64 (pow.f64 t 3) (+.f64 -2 t))) |
(+.f64 (fma.f64 t t -1/2) (*.f64 (pow.f64 t 3) (+.f64 t -2))) |
(+.f64 (*.f64 t t) (fma.f64 (pow.f64 t 3) (+.f64 t -2) -1/2)) |
-1/6 |
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))) |
(+.f64 -1/6 (neg.f64 (/.f64 2/9 t))) |
(+.f64 (/.f64 -2/9 t) -1/6) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))) |
(-.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 1/6 (/.f64 2/9 t))) |
(+.f64 (+.f64 (/.f64 -2/9 t) -1/6) (/.f64 (/.f64 1/27 t) t)) |
(+.f64 (+.f64 (/.f64 -2/9 t) -1/6) (/.f64 1/27 (*.f64 t t))) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 4/81 (/.f64 1 (pow.f64 t 3)))) (+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 1/6 (/.f64 2/9 t)))) |
(+.f64 (+.f64 (/.f64 -2/9 t) -1/6) (+.f64 (/.f64 (/.f64 1/27 t) t) (/.f64 4/81 (pow.f64 t 3)))) |
(+.f64 (+.f64 (/.f64 -2/9 t) -1/6) (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3)))) |
-1/6 |
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))) |
(+.f64 -1/6 (neg.f64 (/.f64 2/9 t))) |
(+.f64 (/.f64 -2/9 t) -1/6) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))) |
(-.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 1/6 (/.f64 2/9 t))) |
(+.f64 (+.f64 (/.f64 -2/9 t) -1/6) (/.f64 (/.f64 1/27 t) t)) |
(+.f64 (+.f64 (/.f64 -2/9 t) -1/6) (/.f64 1/27 (*.f64 t t))) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 4/81 (/.f64 1 (pow.f64 t 3)))) (+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 1/6 (/.f64 2/9 t)))) |
(+.f64 (+.f64 (/.f64 -2/9 t) -1/6) (+.f64 (/.f64 (/.f64 1/27 t) t) (/.f64 4/81 (pow.f64 t 3)))) |
(+.f64 (+.f64 (/.f64 -2/9 t) -1/6) (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3)))) |
-4 |
(-.f64 (*.f64 -4 t) 4) |
(fma.f64 -4 t -4) |
(fma.f64 t -4 -4) |
(-.f64 (+.f64 (*.f64 -4 t) (*.f64 4 (pow.f64 t 2))) 4) |
(+.f64 (*.f64 t -4) (fma.f64 4 (*.f64 t t) -4)) |
(fma.f64 t -4 (fma.f64 (*.f64 t t) 4 -4)) |
(fma.f64 t -4 (fma.f64 t (*.f64 t 4) -4)) |
(fma.f64 t (+.f64 -4 (*.f64 t 4)) -4) |
(-.f64 (+.f64 (*.f64 -4 t) (+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))) 4) |
(+.f64 (fma.f64 -4 t (fma.f64 -4 (pow.f64 t 3) (*.f64 (*.f64 t t) 4))) -4) |
(+.f64 (*.f64 -4 (+.f64 t (pow.f64 t 3))) (fma.f64 (*.f64 t t) 4 -4)) |
(fma.f64 -4 (+.f64 t (pow.f64 t 3)) (fma.f64 t (*.f64 t 4) -4)) |
-8 |
(-.f64 (*.f64 4 (/.f64 1 t)) 8) |
(+.f64 (/.f64 4 t) -8) |
(+.f64 -8 (/.f64 4 t)) |
(-.f64 (*.f64 4 (/.f64 1 t)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 t 2))) 8)) |
(-.f64 (/.f64 4 t) (+.f64 8 (/.f64 4 (*.f64 t t)))) |
(-.f64 (+.f64 -8 (/.f64 4 t)) (/.f64 4 (*.f64 t t))) |
(+.f64 (/.f64 4 t) (-.f64 -8 (/.f64 4 (*.f64 t t)))) |
(+.f64 -8 (+.f64 (/.f64 4 t) (/.f64 -4 (*.f64 t t)))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 (/.f64 1 (pow.f64 t 3)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 t 2))) 8)) |
(+.f64 (/.f64 4 t) (-.f64 (/.f64 4 (pow.f64 t 3)) (+.f64 8 (/.f64 4 (*.f64 t t))))) |
(+.f64 (/.f64 4 t) (+.f64 (/.f64 4 (pow.f64 t 3)) (-.f64 -8 (/.f64 4 (*.f64 t t))))) |
(+.f64 -8 (+.f64 (/.f64 4 t) (+.f64 (/.f64 4 (pow.f64 t 3)) (/.f64 -4 (*.f64 t t))))) |
-8 |
(-.f64 (*.f64 4 (/.f64 1 t)) 8) |
(+.f64 (/.f64 4 t) -8) |
(+.f64 -8 (/.f64 4 t)) |
(-.f64 (*.f64 4 (/.f64 1 t)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 t 2))) 8)) |
(-.f64 (/.f64 4 t) (+.f64 8 (/.f64 4 (*.f64 t t)))) |
(-.f64 (+.f64 -8 (/.f64 4 t)) (/.f64 4 (*.f64 t t))) |
(+.f64 (/.f64 4 t) (-.f64 -8 (/.f64 4 (*.f64 t t)))) |
(+.f64 -8 (+.f64 (/.f64 4 t) (/.f64 -4 (*.f64 t t)))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 (/.f64 1 (pow.f64 t 3)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 t 2))) 8)) |
(+.f64 (/.f64 4 t) (-.f64 (/.f64 4 (pow.f64 t 3)) (+.f64 8 (/.f64 4 (*.f64 t t))))) |
(+.f64 (/.f64 4 t) (+.f64 (/.f64 4 (pow.f64 t 3)) (-.f64 -8 (/.f64 4 (*.f64 t t))))) |
(+.f64 -8 (+.f64 (/.f64 4 t) (+.f64 (/.f64 4 (pow.f64 t 3)) (/.f64 -4 (*.f64 t t))))) |
-4 |
(-.f64 (*.f64 4 (pow.f64 t 2)) 4) |
(fma.f64 4 (*.f64 t t) -4) |
(fma.f64 (*.f64 t t) 4 -4) |
(fma.f64 t (*.f64 t 4) -4) |
(-.f64 (+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))) 4) |
(+.f64 (*.f64 (pow.f64 t 3) -8) (fma.f64 4 (*.f64 t t) -4)) |
(fma.f64 (pow.f64 t 3) -8 (fma.f64 (*.f64 t t) 4 -4)) |
(fma.f64 t (*.f64 t 4) (fma.f64 (pow.f64 t 3) -8 -4)) |
(fma.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))) -4) |
(-.f64 (+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4)))) 4) |
(+.f64 (fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (*.f64 t t) (*.f64 (pow.f64 t 4) 12))) -4) |
(+.f64 -4 (fma.f64 (pow.f64 t 3) -8 (fma.f64 (pow.f64 t 4) 12 (*.f64 t (*.f64 t 4))))) |
(fma.f64 (pow.f64 t 3) -8 (fma.f64 t (*.f64 t 4) (fma.f64 (pow.f64 t 4) 12 -4))) |
(fma.f64 (pow.f64 t 3) -8 (fma.f64 (pow.f64 t 4) 12 (fma.f64 t (*.f64 t 4) -4))) |
(/.f64 -8 t) |
(-.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) (*.f64 8 (/.f64 1 t))) |
(-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)) |
(+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)) |
(-.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t)))) |
(-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))) |
(-.f64 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)) (/.f64 16 (pow.f64 t 3))) |
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3)))) |
(+.f64 (/.f64 -8 t) (*.f64 (/.f64 1 (*.f64 t t)) (+.f64 12 (/.f64 -16 t)))) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) (*.f64 20 (/.f64 1 (pow.f64 t 4)))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t)))) |
(-.f64 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 20 (pow.f64 t 4))) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))) |
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 (-.f64 (/.f64 20 (pow.f64 t 4)) (/.f64 8 t)) (/.f64 16 (pow.f64 t 3)))) |
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 20 (pow.f64 t 4)) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3))))) |
(/.f64 -8 t) |
(-.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) (*.f64 8 (/.f64 1 t))) |
(-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)) |
(+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)) |
(-.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t)))) |
(-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))) |
(-.f64 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)) (/.f64 16 (pow.f64 t 3))) |
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3)))) |
(+.f64 (/.f64 -8 t) (*.f64 (/.f64 1 (*.f64 t t)) (+.f64 12 (/.f64 -16 t)))) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) (*.f64 20 (/.f64 1 (pow.f64 t 4)))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t)))) |
(-.f64 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 20 (pow.f64 t 4))) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))) |
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 (-.f64 (/.f64 20 (pow.f64 t 4)) (/.f64 8 t)) (/.f64 16 (pow.f64 t 3)))) |
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 20 (pow.f64 t 4)) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3))))) |
1/2 |
(+.f64 1/2 (pow.f64 t 2)) |
(+.f64 (*.f64 t t) 1/2) |
(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) (+.f64 (*.f64 t t) 1/2)) |
(fma.f64 -2 (pow.f64 t 3) (fma.f64 t t 1/2)) |
(fma.f64 t t (fma.f64 -2 (pow.f64 t 3) 1/2)) |
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (pow.f64 t 4) (pow.f64 t 2)))) |
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (+.f64 (*.f64 t t) (pow.f64 t 4)))) |
(+.f64 1/2 (fma.f64 -2 (pow.f64 t 3) (fma.f64 t t (pow.f64 t 4)))) |
(+.f64 1/2 (fma.f64 t t (*.f64 (pow.f64 t 3) (+.f64 -2 t)))) |
(+.f64 1/2 (fma.f64 t t (*.f64 (pow.f64 t 3) (+.f64 t -2)))) |
5/6 |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (/.f64 2/9 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 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t))) |
(+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 5/6 (/.f64 -2/9 t))) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t))) |
(+.f64 (/.f64 (/.f64 1/27 t) t) (-.f64 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))) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (+.f64 (/.f64 4/81 (pow.f64 t 3)) 5/6) (/.f64 2/9 t))) |
(+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 5/6 (/.f64 -2/9 t)))) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 5/6 (/.f64 -2/9 t)))) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 4/81 (pow.f64 t 3)) (-.f64 5/6 (/.f64 2/9 t)))) |
(+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 (/.f64 4/81 (pow.f64 t 3)) (-.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 t)) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t))) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t))) |
(+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 5/6 (/.f64 -2/9 t))) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t))) |
(+.f64 (/.f64 (/.f64 1/27 t) t) (-.f64 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))) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (+.f64 (/.f64 4/81 (pow.f64 t 3)) 5/6) (/.f64 2/9 t))) |
(+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 5/6 (/.f64 -2/9 t)))) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 5/6 (/.f64 -2/9 t)))) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 4/81 (pow.f64 t 3)) (-.f64 5/6 (/.f64 2/9 t)))) |
(+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 (/.f64 4/81 (pow.f64 t 3)) (-.f64 5/6 (/.f64 2/9 t)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.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 (/.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 | @ | 0 | (/.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 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 | @ | 0 | (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))) |
| 1× | batch-egg-rewrite |
| 656× | log-prod_binary64 |
| 295× | fma-def_binary64 |
| 279× | log-div_binary64 |
| 274× | prod-diff_binary64 |
| 246× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 82 |
| 1 | 285 | 82 |
| 2 | 4097 | 82 |
| 1× | node limit |
| 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 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 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 1 t)))) 2))) (pow.f64 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -2 (neg.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 6)) (fma.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2) (-.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 6)) (+.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 4) (-.f64 4 (*.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 4)) (-.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 8 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 6))) (neg.f64 (fma.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2) (-.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 4 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 4))) (neg.f64 (-.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 4) 4) (-.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2) (-.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2) 2) 4) (+.f64 8 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (-.f64 4 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2) 1 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (cbrt.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (*.f64 (cbrt.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 4)) (cbrt.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (*.f64 (sqrt.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) 3) (sqrt.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (cbrt.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) (cbrt.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) 2))))) |
| 1× | egg-herbie |
| 447× | sub-neg_binary64 |
| 432× | fma-def_binary64 |
| 374× | associate-*l*_binary64 |
| 332× | distribute-neg-frac_binary64 |
| 292× | distribute-rgt-neg-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 86 | 621 |
| 1 | 258 | 612 |
| 2 | 686 | 598 |
| 3 | 2107 | 591 |
| 4 | 6139 | 591 |
| 1× | node limit |
| 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 (*.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))))) |
2 |
(+.f64 2 (*.f64 4 (pow.f64 t 2))) |
(+.f64 2 (+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))) |
(+.f64 2 (+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4))))) |
6 |
(-.f64 6 (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3))))) |
6 |
(-.f64 6 (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 6 (*.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))) |
(fma.f64 2 t (*.f64 t (*.f64 t -2))) |
(*.f64 t (+.f64 2 (*.f64 t -2))) |
(+.f64 (*.f64 2 t) (+.f64 (*.f64 -2 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 3)))) |
(fma.f64 2 t (fma.f64 -2 (*.f64 t t) (*.f64 2 (pow.f64 t 3)))) |
(fma.f64 2 t (fma.f64 2 (pow.f64 t 3) (*.f64 t (*.f64 t -2)))) |
(fma.f64 t (*.f64 t -2) (*.f64 2 (+.f64 (pow.f64 t 3) t))) |
(*.f64 t (+.f64 2 (*.f64 t (+.f64 (*.f64 2 t) -2)))) |
(+.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 (fma.f64 -2 (*.f64 t t) (fma.f64 -2 (pow.f64 t 4) (*.f64 2 (pow.f64 t 3))))) |
(fma.f64 2 t (fma.f64 -2 (*.f64 t t) (fma.f64 2 (pow.f64 t 3) (*.f64 -2 (pow.f64 t 4))))) |
(fma.f64 -2 (fma.f64 t t (pow.f64 t 4)) (*.f64 2 (+.f64 (pow.f64 t 3) t))) |
(*.f64 (+.f64 (*.f64 t t) 1) (*.f64 t (+.f64 2 (*.f64 t -2)))) |
2 |
(-.f64 2 (*.f64 2 (/.f64 1 t))) |
(-.f64 2 (/.f64 2 t)) |
(+.f64 2 (/.f64 -2 t)) |
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (*.f64 2 (/.f64 1 t))) |
(+.f64 2 (-.f64 (/.f64 2 (*.f64 t t)) (/.f64 2 t))) |
(+.f64 2 (+.f64 (/.f64 2 (*.f64 t t)) (/.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 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3))))) |
(+.f64 (/.f64 2 (*.f64 t t)) (-.f64 2 (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3))))) |
(+.f64 (/.f64 2 (*.f64 t t)) (+.f64 2 (-.f64 (/.f64 -2 t) (/.f64 2 (pow.f64 t 3))))) |
(+.f64 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 -2 t) (-.f64 2 (/.f64 2 (pow.f64 t 3))))) |
2 |
(-.f64 2 (*.f64 2 (/.f64 1 t))) |
(-.f64 2 (/.f64 2 t)) |
(+.f64 2 (/.f64 -2 t)) |
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (*.f64 2 (/.f64 1 t))) |
(+.f64 2 (-.f64 (/.f64 2 (*.f64 t t)) (/.f64 2 t))) |
(+.f64 2 (+.f64 (/.f64 2 (*.f64 t t)) (/.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 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3))))) |
(+.f64 (/.f64 2 (*.f64 t t)) (-.f64 2 (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3))))) |
(+.f64 (/.f64 2 (*.f64 t t)) (+.f64 2 (-.f64 (/.f64 -2 t) (/.f64 2 (pow.f64 t 3))))) |
(+.f64 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 -2 t) (-.f64 2 (/.f64 2 (pow.f64 t 3))))) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 (*.f64 t t) 4) |
(*.f64 t (*.f64 t 4)) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))) |
(fma.f64 -8 (pow.f64 t 3) (*.f64 (*.f64 t t) 4)) |
(fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -8)) |
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))) |
(*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8)))) |
(+.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 (*.f64 t t) 4))) |
(fma.f64 (pow.f64 t 3) -8 (fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 4) 12))) |
(fma.f64 (pow.f64 t 4) 12 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))) |
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12))))) |
(+.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 -16 (pow.f64 t 5) (fma.f64 12 (pow.f64 t 4) (*.f64 (*.f64 t t) 4)))) |
(fma.f64 (pow.f64 t 3) -8 (fma.f64 -16 (pow.f64 t 5) (fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 4) 12)))) |
(fma.f64 -16 (pow.f64 t 5) (fma.f64 (pow.f64 t 4) 12 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))))) |
(fma.f64 -16 (pow.f64 t 5) (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12)))))) |
4 |
(-.f64 4 (*.f64 8 (/.f64 1 t))) |
(-.f64 4 (/.f64 8 t)) |
(+.f64 4 (/.f64 -8 t)) |
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(+.f64 4 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t))) |
(+.f64 (+.f64 4 (/.f64 (/.f64 12 t) t)) (/.f64 -8 t)) |
(+.f64 4 (-.f64 (/.f64 (/.f64 12 t) t) (/.f64 8 t))) |
(+.f64 4 (+.f64 (/.f64 (/.f64 12 t) t) (/.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 4 (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3))))) |
(+.f64 (/.f64 (/.f64 12 t) t) (-.f64 4 (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3))))) |
(+.f64 (+.f64 4 (-.f64 (/.f64 (/.f64 12 t) t) (/.f64 8 t))) (/.f64 -16 (pow.f64 t 3))) |
(+.f64 (+.f64 4 (/.f64 -8 t)) (+.f64 (/.f64 (/.f64 12 t) t) (/.f64 -16 (pow.f64 t 3)))) |
4 |
(-.f64 4 (*.f64 8 (/.f64 1 t))) |
(-.f64 4 (/.f64 8 t)) |
(+.f64 4 (/.f64 -8 t)) |
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(+.f64 4 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t))) |
(+.f64 (+.f64 4 (/.f64 (/.f64 12 t) t)) (/.f64 -8 t)) |
(+.f64 4 (-.f64 (/.f64 (/.f64 12 t) t) (/.f64 8 t))) |
(+.f64 4 (+.f64 (/.f64 (/.f64 12 t) t) (/.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 4 (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3))))) |
(+.f64 (/.f64 (/.f64 12 t) t) (-.f64 4 (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3))))) |
(+.f64 (+.f64 4 (-.f64 (/.f64 (/.f64 12 t) t) (/.f64 8 t))) (/.f64 -16 (pow.f64 t 3))) |
(+.f64 (+.f64 4 (/.f64 -8 t)) (+.f64 (/.f64 (/.f64 12 t) t) (/.f64 -16 (pow.f64 t 3)))) |
1/2 |
(+.f64 (*.f64 -1 (pow.f64 t 2)) 1/2) |
(fma.f64 -1 (*.f64 t t) 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 -1 (*.f64 t t) 1/2) (*.f64 2 (pow.f64 t 3))) |
(-.f64 (fma.f64 2 (pow.f64 t 3) 1/2) (*.f64 t t)) |
(-.f64 (*.f64 2 (pow.f64 t 3)) (fma.f64 t t -1/2)) |
(+.f64 (*.f64 -1 (pow.f64 t 2)) (+.f64 1/2 (+.f64 (*.f64 2 (pow.f64 t 3)) (*.f64 -1 (pow.f64 t 4))))) |
(+.f64 (fma.f64 -1 (*.f64 t t) 1/2) (fma.f64 2 (pow.f64 t 3) (neg.f64 (pow.f64 t 4)))) |
(-.f64 (-.f64 (fma.f64 2 (pow.f64 t 3) 1/2) (pow.f64 t 4)) (*.f64 t t)) |
(-.f64 (fma.f64 2 (pow.f64 t 3) 1/2) (fma.f64 t t (pow.f64 t 4))) |
(-.f64 (*.f64 (pow.f64 t 3) (-.f64 2 t)) (fma.f64 t t -1/2)) |
(-.f64 1/2 (fma.f64 t t (*.f64 (pow.f64 t 3) (+.f64 t -2)))) |
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 2/9 t) (+.f64 1/6 (/.f64 -1/27 (*.f64 t t)))) |
(+.f64 (/.f64 2/9 t) (+.f64 1/6 (/.f64 (/.f64 -1/27 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 1/6 (-.f64 (/.f64 2/9 t) (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3))))) |
(+.f64 (/.f64 -1/27 (*.f64 t t)) (+.f64 (/.f64 -4/81 (pow.f64 t 3)) (+.f64 1/6 (/.f64 2/9 t)))) |
(+.f64 1/6 (+.f64 (/.f64 (/.f64 -1/27 t) t) (+.f64 (/.f64 2/9 t) (/.f64 -4/81 (pow.f64 t 3))))) |
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 2/9 t) (+.f64 1/6 (/.f64 -1/27 (*.f64 t t)))) |
(+.f64 (/.f64 2/9 t) (+.f64 1/6 (/.f64 (/.f64 -1/27 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 1/6 (-.f64 (/.f64 2/9 t) (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3))))) |
(+.f64 (/.f64 -1/27 (*.f64 t t)) (+.f64 (/.f64 -4/81 (pow.f64 t 3)) (+.f64 1/6 (/.f64 2/9 t)))) |
(+.f64 1/6 (+.f64 (/.f64 (/.f64 -1/27 t) t) (+.f64 (/.f64 2/9 t) (/.f64 -4/81 (pow.f64 t 3))))) |
2 |
(+.f64 2 (*.f64 4 (pow.f64 t 2))) |
(+.f64 2 (*.f64 (*.f64 t t) 4)) |
(fma.f64 (*.f64 t t) 4 2) |
(fma.f64 t (*.f64 t 4) 2) |
(+.f64 2 (+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))) |
(+.f64 2 (fma.f64 -8 (pow.f64 t 3) (*.f64 (*.f64 t t) 4))) |
(+.f64 2 (fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -8))) |
(fma.f64 t (*.f64 t 4) (fma.f64 (pow.f64 t 3) -8 2)) |
(+.f64 2 (+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4))))) |
(+.f64 2 (fma.f64 -8 (pow.f64 t 3) (fma.f64 12 (pow.f64 t 4) (*.f64 (*.f64 t t) 4)))) |
(+.f64 2 (fma.f64 (pow.f64 t 3) -8 (fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 4) 12)))) |
(+.f64 2 (fma.f64 (pow.f64 t 4) 12 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))))) |
(+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12)))))) |
6 |
(-.f64 6 (*.f64 8 (/.f64 1 t))) |
(-.f64 6 (/.f64 8 t)) |
(+.f64 6 (/.f64 -8 t)) |
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(+.f64 6 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t))) |
(-.f64 (+.f64 (/.f64 (/.f64 12 t) t) 6) (/.f64 8 t)) |
(+.f64 (/.f64 (/.f64 12 t) t) (-.f64 6 (/.f64 8 t))) |
(+.f64 (/.f64 (/.f64 12 t) t) (+.f64 6 (/.f64 -8 t))) |
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3))))) |
(+.f64 6 (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3))))) |
(-.f64 (+.f64 (/.f64 (/.f64 12 t) t) 6) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))) |
(+.f64 (+.f64 (/.f64 (/.f64 12 t) t) (-.f64 6 (/.f64 8 t))) (/.f64 -16 (pow.f64 t 3))) |
(+.f64 (/.f64 (/.f64 12 t) t) (+.f64 6 (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3))))) |
6 |
(-.f64 6 (*.f64 8 (/.f64 1 t))) |
(-.f64 6 (/.f64 8 t)) |
(+.f64 6 (/.f64 -8 t)) |
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(+.f64 6 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t))) |
(-.f64 (+.f64 (/.f64 (/.f64 12 t) t) 6) (/.f64 8 t)) |
(+.f64 (/.f64 (/.f64 12 t) t) (-.f64 6 (/.f64 8 t))) |
(+.f64 (/.f64 (/.f64 12 t) t) (+.f64 6 (/.f64 -8 t))) |
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3))))) |
(+.f64 6 (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3))))) |
(-.f64 (+.f64 (/.f64 (/.f64 12 t) t) 6) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))) |
(+.f64 (+.f64 (/.f64 (/.f64 12 t) t) (-.f64 6 (/.f64 8 t))) (/.f64 -16 (pow.f64 t 3))) |
(+.f64 (/.f64 (/.f64 12 t) t) (+.f64 6 (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3))))) |
Compiled 13283 to 11602 computations (12.7% saved)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 463 | 6 | 469 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 464 | 7 | 471 |
| Status | Error | Program |
|---|---|---|
| 25.0b | 1/2 | |
| ▶ | 24.3b | (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))) |
| ▶ | 30.2b | (-.f64 1 (-.f64 1/2 (*.f64 t t))) |
| ▶ | 32.5b | (+.f64 (/.f64 (/.f64 1/27 t) t) (-.f64 5/6 (/.f64 2/9 t))) |
| ✓ | 0.0b | (+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))) |
| ▶ | 32.5b | (+.f64 5/6 (/.f64 -2/9 t)) |
| 27.1b | 5/6 |
Compiled 64 to 53 computations (17.2% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 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 | |
|---|---|---|---|---|
| 0.0ms | t | @ | 0 | (/.f64 -2/9 t) |
| 0.0ms | t | @ | 0 | (+.f64 5/6 (/.f64 -2/9 t)) |
| 0.0ms | t | @ | inf | (/.f64 -2/9 t) |
| 0.0ms | t | @ | -inf | (/.f64 -2/9 t) |
| 0.0ms | t | @ | -inf | (+.f64 5/6 (/.f64 -2/9 t)) |
| 1× | batch-egg-rewrite |
| 708× | pow1_binary64 |
| 673× | add-log-exp_binary64 |
| 673× | log1p-expm1-u_binary64 |
| 673× | expm1-log1p-u_binary64 |
| 663× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 11 |
| 1 | 139 | 11 |
| 2 | 1759 | 11 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -2/9 t) |
(+.f64 5/6 (/.f64 -2/9 t)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -2/9 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2/9 (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2/9 t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -2/9 t)) (pow.f64 (cbrt.f64 (/.f64 -2/9 t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -2/9 t)) 2) (cbrt.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -2/9 t)) (sqrt.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/9 (/.f64 1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) -2/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -2/9 t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -2/9 t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -2/9 t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -2/9 t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t -9/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -2/9 t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -2/9 t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -2/9 t))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 25/36 (-.f64 5/6 (/.f64 -2/9 t))) (/.f64 (pow.f64 (/.f64 -2/9 t) 2) (-.f64 5/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -2/9 t) 5/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 -2/9 t) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 2) (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 125/216 (pow.f64 (/.f64 -2/9 t) 3)) (/.f64 1 (+.f64 25/36 (-.f64 (pow.f64 (/.f64 -2/9 t) 2) (/.f64 -5/27 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 25/36 (pow.f64 (/.f64 -2/9 t) 2)) (/.f64 1 (-.f64 5/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 25/36 (-.f64 (pow.f64 (/.f64 -2/9 t) 2) (/.f64 -5/27 t))) (+.f64 125/216 (pow.f64 (/.f64 -2/9 t) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 5/6 (/.f64 -2/9 t)) (-.f64 25/36 (pow.f64 (/.f64 -2/9 t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 125/216 (pow.f64 (/.f64 -2/9 t) 3)) (+.f64 25/36 (-.f64 (pow.f64 (/.f64 -2/9 t) 2) (/.f64 -5/27 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 125/216 (pow.f64 (/.f64 -2/9 t) 3)) (+.f64 (pow.f64 (/.f64 -2/9 t) 2) (-.f64 25/36 (/.f64 -5/27 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 25/36 (pow.f64 (/.f64 -2/9 t) 2)) (-.f64 5/6 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 125/216 (pow.f64 (/.f64 -2/9 t) 3))) (neg.f64 (+.f64 25/36 (-.f64 (pow.f64 (/.f64 -2/9 t) 2) (/.f64 -5/27 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 25/36 (pow.f64 (/.f64 -2/9 t) 2))) (neg.f64 (-.f64 5/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 -2/9 t) 2) 25/36) (-.f64 (/.f64 -2/9 t) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.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 1 (/.f64 -2/9 t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -2/9 t)) 2) (cbrt.f64 (/.f64 -2/9 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -2/9 t)) (sqrt.f64 (/.f64 -2/9 t)) 5/6))))) |
| 1× | egg-herbie |
| 16× | fma-def_binary64 |
| 11× | sub-neg_binary64 |
| 6× | +-commutative_binary64 |
| 4× | *-commutative_binary64 |
| 4× | associate-+l-_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 69 |
| 1 | 20 | 69 |
| 2 | 31 | 69 |
| 3 | 47 | 69 |
| 4 | 62 | 69 |
| 5 | 80 | 69 |
| 6 | 98 | 69 |
| 7 | 113 | 69 |
| 8 | 120 | 69 |
| 1× | saturated |
| 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 t)) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (/.f64 2/9 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 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 t)) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (/.f64 2/9 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 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 t)) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (/.f64 2/9 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 t)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 5/6 (/.f64 2/9 t)) |
| ✓ | 0.1b | (/.f64 (/.f64 1/27 t) t) |
| ✓ | 0.3b | (/.f64 2/9 t) |
| ✓ | 0.4b | (/.f64 1/27 t) |
Compiled 32 to 23 computations (28.1% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | 0 | (/.f64 (/.f64 1/27 t) t) |
| 1.0ms | t | @ | 0 | (/.f64 1/27 t) |
| 0.0ms | t | @ | 0 | (/.f64 2/9 t) |
| 0.0ms | t | @ | inf | (/.f64 1/27 t) |
| 0.0ms | t | @ | -inf | (/.f64 1/27 t) |
| 1× | batch-egg-rewrite |
| 608× | unpow-prod-down_binary64 |
| 449× | log-prod_binary64 |
| 260× | pow2_binary64 |
| 213× | pow-prod-down_binary64 |
| 184× | log-div_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 22 |
| 1 | 211 | 22 |
| 2 | 2738 | 22 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1/27 t) |
(/.f64 2/9 t) |
(/.f64 (/.f64 1/27 t) t) |
(-.f64 5/6 (/.f64 2/9 t)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 2/9 t))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2/9 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2/9 t)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2/9 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 2/9 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/9 (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2/9 t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2/9 t)) (cbrt.f64 (/.f64 4/81 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4/81 (*.f64 t t))) (cbrt.f64 (/.f64 2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2/9 t)) (sqrt.f64 (/.f64 2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2/9 (/.f64 1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2/9 (pow.f64 (/.f64 1 (neg.f64 t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) 2/9)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 2/9 t))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 2/9 t))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 2/9) 3) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 2/9 t))) 2) 3) (cbrt.f64 (/.f64 2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 2/9) 2) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 8/729 1/3) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 4/81 (*.f64 t t)) 2/9) 1/3) (cbrt.f64 (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 2/9 t) (cbrt.f64 (/.f64 2/9 t))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 2/9 t) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 t 2/9)) 2) -1) (cbrt.f64 (/.f64 2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2/9 t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4/81 (*.f64 t t)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2/9 t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 2/9 t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 8/729 (pow.f64 t -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t 2/9) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 t 2/9) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4/81 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 8/729 (pow.f64 t -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 2/9 t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 2/9 t))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 2/9 t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 8/729 (pow.f64 t -3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 t 2/9)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 2/9 t)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 2/9 t)) 3) 1/3)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/27 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/27) (pow.f64 t -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/27) (pow.f64 t -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/27) (pow.f64 t -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/27) (pow.f64 t -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/27 (pow.f64 t -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.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 1/27 (pow.f64 t -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/27 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/27 (pow.f64 t -2))) (cbrt.f64 (/.f64 1/729 (pow.f64 t 4))))))) (#(struct:change #<rule 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1) (pow.f64 (pow.f64 t -3/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 t -1/2) 1) (pow.f64 (/.f64 (/.f64 1/27 t) (sqrt.f64 t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 1/27 t) 2)) (sqrt.f64 t)) 1) (pow.f64 (/.f64 (cbrt.f64 (/.f64 1/27 t)) (sqrt.f64 t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 1/27) t) 6)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 1/27) t) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 1/729 (pow.f64 t 4)) (/.f64 1/27 t)) 1/3) (cbrt.f64 (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 1/729 (pow.f64 t 4)) (cbrt.f64 (/.f64 1/729 (pow.f64 t 4)))) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 1/27 (pow.f64 t -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 1/27 (pow.f64 t -2)) 5/2) 1/3) (cbrt.f64 (/.f64 (sqrt.f64 1/27) t)))))) 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/27 (pow.f64 t -2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 1/27) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 t (*.f64 t 27))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/27 (pow.f64 t -2))) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 5/6 (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 5/6 (*.f64 (/.f64 -2/9 t) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2/9 t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 5/6 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 5/6 (/.f64 -2/9 t)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 5/6 (/.f64 -2/9 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 5/6 (/.f64 -2/9 t))))) (log.f64 (sqrt.f64 (exp.f64 (+.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 1 (+.f64 5/6 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 5/6 (/.f64 -2/9 t))) (pow.f64 (cbrt.f64 (+.f64 5/6 (/.f64 -2/9 t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 5/6 (/.f64 -2/9 t)) 2) 1/2)))) (#(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))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 5/6 (/.f64 -2/9 t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 2/9 t) (+.f64 (/.f64 2/9 t) 5/6) 25/36) (-.f64 125/216 (*.f64 8/729 (pow.f64 t -3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 2/9 t) 5/6) (-.f64 25/36 (/.f64 4/81 (*.f64 t t)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 5/6 (/.f64 -2/9 t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 5/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 5/6 (/.f64 -2/9 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 expm1.f64 (log1p.f64 (+.f64 5/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 5/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 5/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 5/6 (/.f64 -2/9 t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 5/6 (/.f64 -2/9 t)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 5/6 (/.f64 -2/9 t)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 5/6 (/.f64 -2/9 t)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 5/6 (/.f64 -2/9 t))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/9 (neg.f64 (/.f64 1 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 (cbrt.f64 (/.f64 4/81 (*.f64 t t))) (neg.f64 (cbrt.f64 (/.f64 2/9 t))) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 2/9 t)) (neg.f64 (sqrt.f64 (/.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 (pow.f64 (cbrt.f64 (/.f64 -2/9 t)) 2) (cbrt.f64 (/.f64 -2/9 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -2/9 t)) (sqrt.f64 (/.f64 -2/9 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 (neg.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 (neg.f64 (sqrt.f64 (/.f64 2/9 t))) (sqrt.f64 (/.f64 2/9 t)) 5/6))))) |
| 1× | egg-herbie |
| 534× | unsub-neg_binary64 |
| 435× | fma-def_binary64 |
| 434× | unswap-sqr_binary64 |
| 398× | associate-*l/_binary64 |
| 364× | associate-/l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 153 |
| 1 | 28 | 153 |
| 2 | 46 | 153 |
| 3 | 83 | 153 |
| 4 | 170 | 153 |
| 5 | 474 | 153 |
| 6 | 1712 | 153 |
| 7 | 4360 | 153 |
| 8 | 5470 | 153 |
| 1× | node limit |
| 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 -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 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 -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 t)) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (/.f64 2/9 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 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 t)) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (/.f64 2/9 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 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 t)) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (/.f64 2/9 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 t)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 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 |
| 820× | pow1_binary64 |
| 771× | add-log-exp_binary64 |
| 770× | log1p-expm1-u_binary64 |
| 770× | expm1-log1p-u_binary64 |
| 758× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 7 |
| 1 | 160 | 7 |
| 2 | 2055 | 7 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (-.f64 1/2 (*.f64 t t))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (-.f64 1/2 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (-.f64 1/2 (*.f64 t t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 t t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 t t) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (-.f64 1/2 (*.f64 t t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1/2 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 (*.f64 t t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1/2 (*.f64 t t))) (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 t t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 t t))) 2) (cbrt.f64 (+.f64 1/2 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1/2 (*.f64 t t))) (sqrt.f64 (+.f64 1/2 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (-.f64 1/2 (*.f64 t t)) 3)) (/.f64 1 (+.f64 1 (*.f64 (-.f64 1/2 (*.f64 t t)) (-.f64 3/2 (*.f64 t t))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (-.f64 1/2 (*.f64 t t)) 2)) (/.f64 1 (-.f64 3/2 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (-.f64 1/2 (*.f64 t t)) (-.f64 3/2 (*.f64 t t)))) (-.f64 1 (pow.f64 (-.f64 1/2 (*.f64 t t)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 3/2 (*.f64 t t)) (-.f64 1 (pow.f64 (-.f64 1/2 (*.f64 t t)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (-.f64 1/2 (*.f64 t t)) 3)) (+.f64 1 (*.f64 (-.f64 1/2 (*.f64 t t)) (-.f64 3/2 (*.f64 t t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (pow.f64 t 4)) (-.f64 1/2 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (-.f64 1/2 (*.f64 t t)) 2)) (-.f64 3/2 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (-.f64 1/2 (*.f64 t t)) 3))) (neg.f64 (+.f64 1 (*.f64 (-.f64 1/2 (*.f64 t t)) (-.f64 3/2 (*.f64 t t))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (-.f64 1/2 (*.f64 t t)) 2))) (neg.f64 (-.f64 3/2 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 (-.f64 1/2 (*.f64 t t))) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (-.f64 1/2 (*.f64 t t))) (neg.f64 (-.f64 1/2 (*.f64 t t)))) (neg.f64 (-.f64 1/2 (*.f64 t t))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (pow.f64 t 6)) (+.f64 1/4 (-.f64 (pow.f64 t 4) (*.f64 1/2 (*.f64 t t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (neg.f64 (-.f64 1/2 (*.f64 t t))) (neg.f64 (-.f64 1/2 (*.f64 t t))))) (-.f64 1 (neg.f64 (-.f64 1/2 (*.f64 t t)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1/2 (*.f64 t t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1/2 (*.f64 t t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 t t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1/2 (*.f64 t t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1/2 (*.f64 t t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1/2 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 t t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1/2 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1/2 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 1/2 (*.f64 t t)))))))) |
| 1× | egg-herbie |
| 1366× | sqr-pow_binary64 |
| 695× | pow-sqr_binary64 |
| 617× | cube-prod_binary64 |
| 610× | fabs-mul_binary64 |
| 434× | unswap-sqr_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 72 |
| 1 | 12 | 54 |
| 2 | 20 | 54 |
| 3 | 31 | 54 |
| 4 | 60 | 54 |
| 5 | 164 | 54 |
| 6 | 585 | 54 |
| 7 | 1452 | 54 |
| 8 | 1636 | 54 |
| 9 | 1820 | 54 |
| 10 | 2028 | 54 |
| 11 | 2323 | 54 |
| 12 | 2716 | 54 |
| 13 | 3199 | 54 |
| 14 | 3767 | 54 |
| 15 | 4455 | 54 |
| 16 | 5292 | 54 |
| 17 | 5690 | 54 |
| 18 | 5978 | 54 |
| 19 | 6252 | 54 |
| 20 | 6322 | 54 |
| 21 | 6358 | 54 |
| 22 | 7299 | 54 |
| 1× | node limit |
| 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)) |
(+.f64 1/2 (*.f64 t t)) |
(fma.f64 t t 1/2) |
(+.f64 1/2 (pow.f64 t 2)) |
(+.f64 1/2 (*.f64 t t)) |
(fma.f64 t t 1/2) |
(+.f64 1/2 (pow.f64 t 2)) |
(+.f64 1/2 (*.f64 t t)) |
(fma.f64 t t 1/2) |
(pow.f64 t 2) |
(*.f64 t t) |
(+.f64 1/2 (pow.f64 t 2)) |
(+.f64 1/2 (*.f64 t t)) |
(fma.f64 t t 1/2) |
(+.f64 1/2 (pow.f64 t 2)) |
(+.f64 1/2 (*.f64 t t)) |
(fma.f64 t t 1/2) |
(+.f64 1/2 (pow.f64 t 2)) |
(+.f64 1/2 (*.f64 t t)) |
(fma.f64 t t 1/2) |
(pow.f64 t 2) |
(*.f64 t t) |
(+.f64 1/2 (pow.f64 t 2)) |
(+.f64 1/2 (*.f64 t t)) |
(fma.f64 t t 1/2) |
(+.f64 1/2 (pow.f64 t 2)) |
(+.f64 1/2 (*.f64 t t)) |
(fma.f64 t t 1/2) |
(+.f64 1/2 (pow.f64 t 2)) |
(+.f64 1/2 (*.f64 t t)) |
(fma.f64 t t 1/2) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))) |
| ✓ | 0.0b | (*.f64 t (+.f64 4 (*.f64 t -8))) |
| ✓ | 0.0b | (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8)))) |
| ✓ | 0.2b | (/.f64 1 (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8)))))) |
Compiled 69 to 52 computations (24.6% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | t | @ | inf | (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8)))) |
| 1.0ms | t | @ | inf | (/.f64 1 (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8)))))) |
| 1.0ms | t | @ | 0 | (/.f64 1 (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8)))))) |
| 1.0ms | t | @ | -inf | (/.f64 1 (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8)))))) |
| 1.0ms | t | @ | -inf | (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8)))) |
| 1× | batch-egg-rewrite |
| 652× | log-prod_binary64 |
| 595× | prod-diff_binary64 |
| 340× | fma-def_binary64 |
| 246× | expm1-udef_binary64 |
| 245× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 64 |
| 1 | 296 | 52 |
| 2 | 3931 | 52 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8)))))) |
(*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8)))) |
(*.f64 t (+.f64 4 (*.f64 t -8))) |
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)))) 2) (cbrt.f64 (+.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)))) (hypot.f64 1 (sqrt.f64 (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2) -3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)) (pow.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2) -2)) (/.f64 1 (+.f64 1 (/.f64 1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)) (pow.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2) -2))) (-.f64 1 (pow.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (/.f64 1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))) (-.f64 1 (pow.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2) -3)) (+.f64 1 (+.f64 (/.f64 1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)) (pow.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2) -2)) (+.f64 1 (/.f64 1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2) -3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)) (pow.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2) -2))) (neg.f64 (+.f64 1 (/.f64 1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)) (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))) (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)) (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)))) (-.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2) -2)) (neg.f64 (/.f64 1 (cbrt.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2) -1/2) (neg.f64 (pow.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))) (cbrt.f64 (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)))) (cbrt.f64 (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))) (sqrt.f64 (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2) -2))) (/.f64 1 (cbrt.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2) -1/2)) (pow.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2) -1/2) 1))))) |
| 1× | egg-herbie |
| 725× | fma-def_binary64 |
| 492× | unswap-sqr_binary64 |
| 491× | distribute-neg-frac_binary64 |
| 485× | associate-/r*_binary64 |
| 388× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 648 |
| 1 | 180 | 625 |
| 2 | 504 | 605 |
| 3 | 1608 | 566 |
| 4 | 5814 | 566 |
| 1× | node limit |
| 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 3)))) |
(+.f64 (*.f64 -1 (pow.f64 t 2)) (+.f64 1/2 (+.f64 (*.f64 2 (pow.f64 t 4)) (*.f64 2 (pow.f64 t 3))))) |
(/.f64 -1/8 (pow.f64 t 3)) |
(neg.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 t 4))) (*.f64 1/8 (/.f64 1 (pow.f64 t 3))))) |
(neg.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 t 5))) (*.f64 1/16 (/.f64 1 (pow.f64 t 4)))))) |
(neg.f64 (+.f64 (*.f64 3/64 (/.f64 1 (pow.f64 t 6))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 t 5))) (*.f64 1/16 (/.f64 1 (pow.f64 t 4))))))) |
(/.f64 -1/8 (pow.f64 t 3)) |
(neg.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 t 4))) (*.f64 1/8 (/.f64 1 (pow.f64 t 3))))) |
(neg.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 t 5))) (*.f64 1/16 (/.f64 1 (pow.f64 t 4)))))) |
(neg.f64 (+.f64 (*.f64 3/64 (/.f64 1 (pow.f64 t 6))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 t 5))) (*.f64 1/16 (/.f64 1 (pow.f64 t 4))))))) |
(*.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 4 (pow.f64 t 2))) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))) |
(*.f64 -8 (pow.f64 t 3)) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.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 4 (pow.f64 t 2))) |
(*.f64 -8 (pow.f64 t 3)) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.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 4 (pow.f64 t 2))) |
(*.f64 4 t) |
(+.f64 (*.f64 -8 (pow.f64 t 2)) (*.f64 4 t)) |
(+.f64 (*.f64 -8 (pow.f64 t 2)) (*.f64 4 t)) |
(+.f64 (*.f64 -8 (pow.f64 t 2)) (*.f64 4 t)) |
(*.f64 -8 (pow.f64 t 2)) |
(+.f64 (*.f64 4 t) (*.f64 -8 (pow.f64 t 2))) |
(+.f64 (*.f64 4 t) (*.f64 -8 (pow.f64 t 2))) |
(+.f64 (*.f64 4 t) (*.f64 -8 (pow.f64 t 2))) |
(*.f64 -8 (pow.f64 t 2)) |
(+.f64 (*.f64 4 t) (*.f64 -8 (pow.f64 t 2))) |
(+.f64 (*.f64 4 t) (*.f64 -8 (pow.f64 t 2))) |
(+.f64 (*.f64 4 t) (*.f64 -8 (pow.f64 t 2))) |
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 (*.f64 -2 (pow.f64 t 4)) (pow.f64 t 2)))) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 t 3)))) |
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 1 (*.f64 1/16 (/.f64 1 (pow.f64 t 4))))) |
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 1 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 t 4))) (*.f64 1/32 (/.f64 1 (pow.f64 t 5)))))) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 t 3)))) |
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 1 (*.f64 1/16 (/.f64 1 (pow.f64 t 4))))) |
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 1 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 t 4))) (*.f64 1/32 (/.f64 1 (pow.f64 t 5)))))) |
| Outputs |
|---|
1/2 |
(+.f64 (*.f64 -1 (pow.f64 t 2)) 1/2) |
(fma.f64 -1 (*.f64 t t) 1/2) |
(-.f64 1/2 (*.f64 t t)) |
(neg.f64 (fma.f64 t t -1/2)) |
(+.f64 (*.f64 -1 (pow.f64 t 2)) (+.f64 1/2 (*.f64 2 (pow.f64 t 3)))) |
(+.f64 (fma.f64 -1 (*.f64 t t) 1/2) (*.f64 2 (pow.f64 t 3))) |
(-.f64 (fma.f64 2 (pow.f64 t 3) 1/2) (*.f64 t t)) |
(fma.f64 t (*.f64 t (fma.f64 t 2 -1)) 1/2) |
(+.f64 (*.f64 -1 (pow.f64 t 2)) (+.f64 1/2 (+.f64 (*.f64 2 (pow.f64 t 4)) (*.f64 2 (pow.f64 t 3))))) |
(+.f64 (fma.f64 -1 (*.f64 t t) 1/2) (*.f64 2 (+.f64 (pow.f64 t 4) (pow.f64 t 3)))) |
(-.f64 (fma.f64 2 (+.f64 (pow.f64 t 3) (pow.f64 t 4)) 1/2) (*.f64 t t)) |
(fma.f64 2 (+.f64 (pow.f64 t 3) (pow.f64 t 4)) (-.f64 1/2 (*.f64 t t))) |
(fma.f64 t (*.f64 t (fma.f64 t 2 -1)) (fma.f64 2 (pow.f64 t 4) 1/2)) |
(/.f64 -1/8 (pow.f64 t 3)) |
(neg.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 t 4))) (*.f64 1/8 (/.f64 1 (pow.f64 t 3))))) |
(neg.f64 (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/8 (pow.f64 t 3)))) |
(-.f64 (/.f64 -1/16 (pow.f64 t 4)) (/.f64 1/8 (pow.f64 t 3))) |
(+.f64 (/.f64 -1/8 (pow.f64 t 3)) (/.f64 -1/16 (pow.f64 t 4))) |
(neg.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 t 5))) (*.f64 1/16 (/.f64 1 (pow.f64 t 4)))))) |
(neg.f64 (+.f64 (/.f64 1/8 (pow.f64 t 3)) (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/32 (pow.f64 t 5))))) |
(-.f64 (/.f64 -1/8 (pow.f64 t 3)) (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/32 (pow.f64 t 5)))) |
(+.f64 (+.f64 (/.f64 -1/8 (pow.f64 t 3)) (/.f64 -1/16 (pow.f64 t 4))) (/.f64 -1/32 (pow.f64 t 5))) |
(neg.f64 (+.f64 (*.f64 3/64 (/.f64 1 (pow.f64 t 6))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 t 5))) (*.f64 1/16 (/.f64 1 (pow.f64 t 4))))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1/8 (pow.f64 t 3)) (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/32 (pow.f64 t 5)))) (/.f64 3/64 (pow.f64 t 6)))) |
(+.f64 (-.f64 (/.f64 -1/8 (pow.f64 t 3)) (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/32 (pow.f64 t 5)))) (/.f64 -3/64 (pow.f64 t 6))) |
(+.f64 (+.f64 (+.f64 (/.f64 -1/8 (pow.f64 t 3)) (/.f64 -1/16 (pow.f64 t 4))) (/.f64 -1/32 (pow.f64 t 5))) (/.f64 -3/64 (pow.f64 t 6))) |
(+.f64 (+.f64 (/.f64 -1/8 (pow.f64 t 3)) (/.f64 -1/16 (pow.f64 t 4))) (+.f64 (/.f64 -1/32 (pow.f64 t 5)) (/.f64 -3/64 (pow.f64 t 6)))) |
(+.f64 (+.f64 (/.f64 -1/8 (pow.f64 t 3)) (/.f64 -1/16 (pow.f64 t 4))) (+.f64 (/.f64 -3/64 (pow.f64 t 6)) (/.f64 -1/32 (pow.f64 t 5)))) |
(/.f64 -1/8 (pow.f64 t 3)) |
(neg.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 t 4))) (*.f64 1/8 (/.f64 1 (pow.f64 t 3))))) |
(neg.f64 (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/8 (pow.f64 t 3)))) |
(-.f64 (/.f64 -1/16 (pow.f64 t 4)) (/.f64 1/8 (pow.f64 t 3))) |
(+.f64 (/.f64 -1/8 (pow.f64 t 3)) (/.f64 -1/16 (pow.f64 t 4))) |
(neg.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 t 5))) (*.f64 1/16 (/.f64 1 (pow.f64 t 4)))))) |
(neg.f64 (+.f64 (/.f64 1/8 (pow.f64 t 3)) (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/32 (pow.f64 t 5))))) |
(-.f64 (/.f64 -1/8 (pow.f64 t 3)) (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/32 (pow.f64 t 5)))) |
(+.f64 (+.f64 (/.f64 -1/8 (pow.f64 t 3)) (/.f64 -1/16 (pow.f64 t 4))) (/.f64 -1/32 (pow.f64 t 5))) |
(neg.f64 (+.f64 (*.f64 3/64 (/.f64 1 (pow.f64 t 6))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 t 5))) (*.f64 1/16 (/.f64 1 (pow.f64 t 4))))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1/8 (pow.f64 t 3)) (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/32 (pow.f64 t 5)))) (/.f64 3/64 (pow.f64 t 6)))) |
(+.f64 (-.f64 (/.f64 -1/8 (pow.f64 t 3)) (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/32 (pow.f64 t 5)))) (/.f64 -3/64 (pow.f64 t 6))) |
(+.f64 (+.f64 (+.f64 (/.f64 -1/8 (pow.f64 t 3)) (/.f64 -1/16 (pow.f64 t 4))) (/.f64 -1/32 (pow.f64 t 5))) (/.f64 -3/64 (pow.f64 t 6))) |
(+.f64 (+.f64 (/.f64 -1/8 (pow.f64 t 3)) (/.f64 -1/16 (pow.f64 t 4))) (+.f64 (/.f64 -1/32 (pow.f64 t 5)) (/.f64 -3/64 (pow.f64 t 6)))) |
(+.f64 (+.f64 (/.f64 -1/8 (pow.f64 t 3)) (/.f64 -1/16 (pow.f64 t 4))) (+.f64 (/.f64 -3/64 (pow.f64 t 6)) (/.f64 -1/32 (pow.f64 t 5)))) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 (*.f64 t t) 4) |
(*.f64 t (*.f64 t 4)) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))) |
(fma.f64 -8 (pow.f64 t 3) (*.f64 (*.f64 t t) 4)) |
(fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -8)) |
(*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8)))) |
(*.f64 t (*.f64 t (fma.f64 t -8 4))) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))) |
(fma.f64 -8 (pow.f64 t 3) (*.f64 (*.f64 t t) 4)) |
(fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -8)) |
(*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8)))) |
(*.f64 t (*.f64 t (fma.f64 t -8 4))) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))) |
(fma.f64 -8 (pow.f64 t 3) (*.f64 (*.f64 t t) 4)) |
(fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -8)) |
(*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8)))) |
(*.f64 t (*.f64 t (fma.f64 t -8 4))) |
(*.f64 -8 (pow.f64 t 3)) |
(*.f64 (pow.f64 t 3) -8) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))) |
(fma.f64 -8 (pow.f64 t 3) (*.f64 (*.f64 t t) 4)) |
(fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -8)) |
(*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8)))) |
(*.f64 t (*.f64 t (fma.f64 t -8 4))) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))) |
(fma.f64 -8 (pow.f64 t 3) (*.f64 (*.f64 t t) 4)) |
(fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -8)) |
(*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8)))) |
(*.f64 t (*.f64 t (fma.f64 t -8 4))) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))) |
(fma.f64 -8 (pow.f64 t 3) (*.f64 (*.f64 t t) 4)) |
(fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -8)) |
(*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8)))) |
(*.f64 t (*.f64 t (fma.f64 t -8 4))) |
(*.f64 -8 (pow.f64 t 3)) |
(*.f64 (pow.f64 t 3) -8) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))) |
(fma.f64 -8 (pow.f64 t 3) (*.f64 (*.f64 t t) 4)) |
(fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -8)) |
(*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8)))) |
(*.f64 t (*.f64 t (fma.f64 t -8 4))) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))) |
(fma.f64 -8 (pow.f64 t 3) (*.f64 (*.f64 t t) 4)) |
(fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -8)) |
(*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8)))) |
(*.f64 t (*.f64 t (fma.f64 t -8 4))) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))) |
(fma.f64 -8 (pow.f64 t 3) (*.f64 (*.f64 t t) 4)) |
(fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -8)) |
(*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8)))) |
(*.f64 t (*.f64 t (fma.f64 t -8 4))) |
(*.f64 4 t) |
(*.f64 t 4) |
(+.f64 (*.f64 -8 (pow.f64 t 2)) (*.f64 4 t)) |
(fma.f64 4 t (*.f64 (*.f64 t t) -8)) |
(fma.f64 t 4 (*.f64 t (*.f64 t -8))) |
(*.f64 t (+.f64 4 (*.f64 t -8))) |
(*.f64 t (fma.f64 t -8 4)) |
(+.f64 (*.f64 -8 (pow.f64 t 2)) (*.f64 4 t)) |
(fma.f64 4 t (*.f64 (*.f64 t t) -8)) |
(fma.f64 t 4 (*.f64 t (*.f64 t -8))) |
(*.f64 t (+.f64 4 (*.f64 t -8))) |
(*.f64 t (fma.f64 t -8 4)) |
(+.f64 (*.f64 -8 (pow.f64 t 2)) (*.f64 4 t)) |
(fma.f64 4 t (*.f64 (*.f64 t t) -8)) |
(fma.f64 t 4 (*.f64 t (*.f64 t -8))) |
(*.f64 t (+.f64 4 (*.f64 t -8))) |
(*.f64 t (fma.f64 t -8 4)) |
(*.f64 -8 (pow.f64 t 2)) |
(*.f64 (*.f64 t t) -8) |
(*.f64 t (*.f64 t -8)) |
(+.f64 (*.f64 4 t) (*.f64 -8 (pow.f64 t 2))) |
(fma.f64 4 t (*.f64 (*.f64 t t) -8)) |
(fma.f64 t 4 (*.f64 t (*.f64 t -8))) |
(*.f64 t (+.f64 4 (*.f64 t -8))) |
(*.f64 t (fma.f64 t -8 4)) |
(+.f64 (*.f64 4 t) (*.f64 -8 (pow.f64 t 2))) |
(fma.f64 4 t (*.f64 (*.f64 t t) -8)) |
(fma.f64 t 4 (*.f64 t (*.f64 t -8))) |
(*.f64 t (+.f64 4 (*.f64 t -8))) |
(*.f64 t (fma.f64 t -8 4)) |
(+.f64 (*.f64 4 t) (*.f64 -8 (pow.f64 t 2))) |
(fma.f64 4 t (*.f64 (*.f64 t t) -8)) |
(fma.f64 t 4 (*.f64 t (*.f64 t -8))) |
(*.f64 t (+.f64 4 (*.f64 t -8))) |
(*.f64 t (fma.f64 t -8 4)) |
(*.f64 -8 (pow.f64 t 2)) |
(*.f64 (*.f64 t t) -8) |
(*.f64 t (*.f64 t -8)) |
(+.f64 (*.f64 4 t) (*.f64 -8 (pow.f64 t 2))) |
(fma.f64 4 t (*.f64 (*.f64 t t) -8)) |
(fma.f64 t 4 (*.f64 t (*.f64 t -8))) |
(*.f64 t (+.f64 4 (*.f64 t -8))) |
(*.f64 t (fma.f64 t -8 4)) |
(+.f64 (*.f64 4 t) (*.f64 -8 (pow.f64 t 2))) |
(fma.f64 4 t (*.f64 (*.f64 t t) -8)) |
(fma.f64 t 4 (*.f64 t (*.f64 t -8))) |
(*.f64 t (+.f64 4 (*.f64 t -8))) |
(*.f64 t (fma.f64 t -8 4)) |
(+.f64 (*.f64 4 t) (*.f64 -8 (pow.f64 t 2))) |
(fma.f64 4 t (*.f64 (*.f64 t t) -8)) |
(fma.f64 t 4 (*.f64 t (*.f64 t -8))) |
(*.f64 t (+.f64 4 (*.f64 t -8))) |
(*.f64 t (fma.f64 t -8 4)) |
1/2 |
(+.f64 1/2 (pow.f64 t 2)) |
(+.f64 1/2 (*.f64 t t)) |
(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) (+.f64 1/2 (*.f64 t t))) |
(fma.f64 (pow.f64 t 3) -2 (fma.f64 t t 1/2)) |
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (*.f64 -2 (pow.f64 t 4)) (pow.f64 t 2)))) |
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (fma.f64 -2 (pow.f64 t 4) (*.f64 t t)))) |
(+.f64 (fma.f64 (pow.f64 t 3) -2 (fma.f64 t t 1/2)) (*.f64 (pow.f64 t 4) -2)) |
(fma.f64 (pow.f64 t 3) -2 (fma.f64 t t (fma.f64 (pow.f64 t 4) -2 1/2))) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 t 3)))) |
(+.f64 1 (/.f64 1/8 (pow.f64 t 3))) |
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 1 (*.f64 1/16 (/.f64 1 (pow.f64 t 4))))) |
(+.f64 (/.f64 1/8 (pow.f64 t 3)) (+.f64 1 (/.f64 1/16 (pow.f64 t 4)))) |
(+.f64 1 (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/8 (pow.f64 t 3)))) |
(+.f64 (/.f64 1/16 (pow.f64 t 4)) (+.f64 1 (/.f64 1/8 (pow.f64 t 3)))) |
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 1 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 t 4))) (*.f64 1/32 (/.f64 1 (pow.f64 t 5)))))) |
(+.f64 (/.f64 1/8 (pow.f64 t 3)) (+.f64 (+.f64 1 (/.f64 1/16 (pow.f64 t 4))) (/.f64 1/32 (pow.f64 t 5)))) |
(+.f64 (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/32 (pow.f64 t 5))) (+.f64 1 (/.f64 1/8 (pow.f64 t 3)))) |
(+.f64 1 (-.f64 (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/32 (pow.f64 t 5))) (/.f64 -1/8 (pow.f64 t 3)))) |
(+.f64 1 (-.f64 (/.f64 1/16 (pow.f64 t 4)) (-.f64 (/.f64 -1/8 (pow.f64 t 3)) (/.f64 1/32 (pow.f64 t 5))))) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 t 3)))) |
(+.f64 1 (/.f64 1/8 (pow.f64 t 3))) |
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 1 (*.f64 1/16 (/.f64 1 (pow.f64 t 4))))) |
(+.f64 (/.f64 1/8 (pow.f64 t 3)) (+.f64 1 (/.f64 1/16 (pow.f64 t 4)))) |
(+.f64 1 (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/8 (pow.f64 t 3)))) |
(+.f64 (/.f64 1/16 (pow.f64 t 4)) (+.f64 1 (/.f64 1/8 (pow.f64 t 3)))) |
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 1 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 t 4))) (*.f64 1/32 (/.f64 1 (pow.f64 t 5)))))) |
(+.f64 (/.f64 1/8 (pow.f64 t 3)) (+.f64 (+.f64 1 (/.f64 1/16 (pow.f64 t 4))) (/.f64 1/32 (pow.f64 t 5)))) |
(+.f64 (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/32 (pow.f64 t 5))) (+.f64 1 (/.f64 1/8 (pow.f64 t 3)))) |
(+.f64 1 (-.f64 (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/32 (pow.f64 t 5))) (/.f64 -1/8 (pow.f64 t 3)))) |
(+.f64 1 (-.f64 (/.f64 1/16 (pow.f64 t 4)) (-.f64 (/.f64 -1/8 (pow.f64 t 3)) (/.f64 1/32 (pow.f64 t 5))))) |
Compiled 8881 to 6930 computations (22% saved)
8 alts after pruning (4 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 512 | 4 | 516 |
| Fresh | 2 | 0 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 3 | 4 |
| Total | 515 | 8 | 523 |
| Status | Error | Program |
|---|---|---|
| 25.0b | 1/2 | |
| ✓ | 32.5b | (+.f64 5/6 (/.f64 -2/9 t)) |
| ▶ | 32.5b | (+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)) |
| 27.1b | 5/6 | |
| ▶ | 30.2b | (+.f64 (*.f64 t t) 1/2) |
| ✓ | 24.3b | (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))) |
| ✓ | 32.5b | (+.f64 (/.f64 (/.f64 1/27 t) t) (-.f64 5/6 (/.f64 2/9 t))) |
| ✓ | 0.0b | (+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))) |
Compiled 72 to 60 computations (16.7% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)) |
| 0.3b | (/.f64 -2/9 t) | |
| ✓ | 2.4b | (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1) |
Compiled 29 to 24 computations (17.2% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | 0 | (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1) |
| 0.0ms | t | @ | 0 | (+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)) |
| 0.0ms | t | @ | -inf | (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1) |
| 0.0ms | t | @ | inf | (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1) |
| 0.0ms | t | @ | -inf | (+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)) |
| 1× | batch-egg-rewrite |
| 534× | unpow-prod-down_binary64 |
| 411× | fma-def_binary64 |
| 379× | prod-diff_binary64 |
| 365× | log-prod_binary64 |
| 243× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 23 |
| 1 | 216 | 11 |
| 2 | 3083 | 11 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1) |
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 -2/9 t) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (/.f64 -2/9 t) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2/9 t) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 -2/9 t)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -2/9 t) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -2/9 t))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -2/9 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2/9 t)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2/9 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2/9 (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2/9 t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -2/9 t)) (cbrt.f64 (/.f64 4/81 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4/81 (*.f64 t t))) (cbrt.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -2/9 t)) (sqrt.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/9 (/.f64 1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/9 (pow.f64 (/.f64 1 (neg.f64 t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 -2/9 t)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) (+.f64 (/.f64 -2/9 t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 -2/9 t)))) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) (+.f64 (/.f64 -2/9 t) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) -2/9)))) (#(struct:change #<rule egg-rr> (2) ((x 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(sqrt.f64 (+.f64 1 (/.f64 -2/9 t))) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 -2/9 t))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 -2/9 t))) 1) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/9 (/.f64 1 (neg.f64 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 -2/9 t)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) (+.f64 (/.f64 -2/9 t) 2))) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 -8/729 (pow.f64 t 3))) (/.f64 1 (fma.f64 (/.f64 -2/9 t) (+.f64 (/.f64 -2/9 t) -1) 1)) -1/6)))) (#(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 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 -2/9 t)))) (/.f64 1 (+.f64 (/.f64 -2/9 t) 2)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (/.f64 4/81 (*.f64 t t))) (/.f64 1 (-.f64 1 (/.f64 -2/9 t))) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 11/6 (/.f64 -2/9 t))) 2) (cbrt.f64 (+.f64 11/6 (/.f64 -2/9 t))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 11/6 (/.f64 -2/9 t))) (sqrt.f64 (+.f64 11/6 (/.f64 -2/9 t))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 -2/9 t))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 -2/9 t)))) 5/6))))) |
| 1× | egg-herbie |
| 16× | fma-def_binary64 |
| 11× | sub-neg_binary64 |
| 6× | +-commutative_binary64 |
| 4× | *-commutative_binary64 |
| 4× | associate-+l-_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 117 |
| 1 | 20 | 117 |
| 2 | 31 | 117 |
| 3 | 47 | 117 |
| 4 | 62 | 117 |
| 5 | 80 | 117 |
| 6 | 98 | 117 |
| 7 | 113 | 117 |
| 8 | 120 | 117 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 -2/9 t) |
(/.f64 -2/9 t) |
(/.f64 -2/9 t) |
(/.f64 -2/9 t) |
(/.f64 -2/9 t) |
(/.f64 -2/9 t) |
(/.f64 -2/9 t) |
(/.f64 -2/9 t) |
(/.f64 -2/9 t) |
(/.f64 -2/9 t) |
(/.f64 -2/9 t) |
(/.f64 -2/9 t) |
(/.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 -2/9 t) |
(/.f64 -2/9 t) |
(/.f64 -2/9 t) |
(/.f64 -2/9 t) |
(/.f64 -2/9 t) |
(/.f64 -2/9 t) |
(/.f64 -2/9 t) |
(/.f64 -2/9 t) |
(/.f64 -2/9 t) |
(/.f64 -2/9 t) |
(/.f64 -2/9 t) |
(/.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 t)) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (/.f64 2/9 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 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 t)) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (/.f64 2/9 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 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 t)) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (/.f64 2/9 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 t)) |
Compiled 11 to 5 computations (54.5% saved)
Compiled 2449 to 2090 computations (14.7% saved)
8 alts after pruning (3 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 185 | 2 | 187 |
| Fresh | 1 | 1 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 4 | 5 |
| Total | 187 | 8 | 195 |
| Status | Error | Program |
|---|---|---|
| ✓ | 24.3b | (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))) |
| 27.1b | 5/6 | |
| 25.0b | 1/2 | |
| ✓ | 32.5b | (+.f64 5/6 (/.f64 -2/9 t)) |
| ✓ | 30.2b | (+.f64 (*.f64 t t) 1/2) |
| ✓ | 32.5b | (+.f64 (/.f64 (/.f64 1/27 t) t) (-.f64 5/6 (/.f64 2/9 t))) |
| ✓ | 0.0b | (+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))) |
| ▶ | 32.5b | (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) |
Compiled 70 to 58 computations (17.1% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) |
| 0.3b | (/.f64 -2/9 t) |
Compiled 20 to 16 computations (20% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | 0 | (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) |
| 0.0ms | t | @ | inf | (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) |
| 0.0ms | t | @ | -inf | (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) |
| 1× | batch-egg-rewrite |
| 963× | pow1_binary64 |
| 912× | log1p-expm1-u_binary64 |
| 912× | expm1-log1p-u_binary64 |
| 911× | add-log-exp_binary64 |
| 92× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 10 |
| 1 | 185 | 7 |
| 2 | 2388 | 7 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 -2/9 t) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (/.f64 -2/9 t) -1/6) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2/9 t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 -2/9 t)) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/6 (+.f64 1 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -2/9 t) -1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 -2/9 t) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -2/9 t) 5/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 2) (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 3) -1/216) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) (+.f64 1/36 (*.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) -1/36) (/.f64 1 (+.f64 (/.f64 -2/9 t) 7/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) (+.f64 1/36 (*.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6))) (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 3) -1/216)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 -2/9 t) 7/6) (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) -1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 3) -1/216) (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) (+.f64 1/36 (*.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 3) -1/216) (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) (-.f64 1/36 (*.f64 (+.f64 1 (/.f64 -2/9 t)) -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) -1/36) (+.f64 (/.f64 -2/9 t) 7/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) -1/36) (-.f64 (+.f64 1 (/.f64 -2/9 t)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 3) -1/216)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) (+.f64 1/36 (*.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) -1/36)) (neg.f64 (+.f64 (/.f64 -2/9 t) 7/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 -2/9 t) -1/6) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (/.f64 -2/9 t) -1/6) (+.f64 (/.f64 -2/9 t) -1/6)) (+.f64 (/.f64 -2/9 t) -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 -2/9 t) -1/6) (+.f64 (/.f64 -2/9 t) -1/6))) (-.f64 1 (+.f64 (/.f64 -2/9 t) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -2/9 t) 5/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 -2/9 t)) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -2/9 t))) 2) (cbrt.f64 (+.f64 1 (/.f64 -2/9 t))) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 -2/9 t))) (sqrt.f64 (+.f64 1 (/.f64 -2/9 t))) -1/6))))) |
| 1× | egg-herbie |
| 16× | fma-def_binary64 |
| 11× | sub-neg_binary64 |
| 6× | +-commutative_binary64 |
| 4× | *-commutative_binary64 |
| 4× | associate-+l-_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 69 |
| 1 | 20 | 69 |
| 2 | 31 | 69 |
| 3 | 47 | 69 |
| 4 | 62 | 69 |
| 5 | 80 | 69 |
| 6 | 98 | 69 |
| 7 | 113 | 69 |
| 8 | 120 | 69 |
| 1× | saturated |
| 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 t)) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (/.f64 2/9 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 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 t)) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (/.f64 2/9 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 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 t)) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (/.f64 2/9 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 t)) |
Compiled 718 to 630 computations (12.3% saved)
8 alts after pruning (2 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 61 | 0 | 61 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 61 | 8 | 69 |
| Status | Error | Program |
|---|---|---|
| ✓ | 24.3b | (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))) |
| 27.1b | 5/6 | |
| 25.0b | 1/2 | |
| ✓ | 32.5b | (+.f64 5/6 (/.f64 -2/9 t)) |
| ✓ | 30.2b | (+.f64 (*.f64 t t) 1/2) |
| ✓ | 32.5b | (+.f64 (/.f64 (/.f64 1/27 t) t) (-.f64 5/6 (/.f64 2/9 t))) |
| ✓ | 0.0b | (+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))) |
| ✓ | 32.5b | (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) |
Compiled 70 to 58 computations (17.1% saved)
| Inputs |
|---|
5/6 |
1/2 |
5/6 |
1/2 |
5/6 |
(+.f64 (*.f64 t t) 1/2) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) |
(-.f64 1 (-.f64 1/2 (*.f64 t t))) |
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)) |
(+.f64 (/.f64 (/.f64 1/27 t) t) (-.f64 5/6 (/.f64 2/9 t))) |
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))) |
(+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))) |
(-.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:
| 38.0ms | (/.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))))))) |
| 16.0ms | t |
| 16.0ms | (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))) |
| 6.0ms | (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 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)))))) |
| 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 243 to 202 computations (16.9% saved)
| Inputs |
|---|
5/6 |
1/2 |
5/6 |
1/2 |
5/6 |
(+.f64 (*.f64 t t) 1/2) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) |
(-.f64 1 (-.f64 1/2 (*.f64 t t))) |
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)) |
(+.f64 (/.f64 (/.f64 1/27 t) t) (-.f64 5/6 (/.f64 2/9 t))) |
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))) |
(+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))) |
| Outputs |
|---|
(+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))) |
1 calls:
| 15.0ms | t |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | t |
Compiled 84 to 67 computations (20.2% saved)
| Inputs |
|---|
5/6 |
1/2 |
5/6 |
1/2 |
5/6 |
(+.f64 (*.f64 t t) 1/2) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) |
(-.f64 1 (-.f64 1/2 (*.f64 t t))) |
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)) |
(+.f64 (/.f64 (/.f64 1/27 t) t) (-.f64 5/6 (/.f64 2/9 t))) |
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))) |
| Outputs |
|---|
(+.f64 (/.f64 (/.f64 1/27 t) t) (-.f64 5/6 (/.f64 2/9 t))) |
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))) |
(+.f64 (/.f64 (/.f64 1/27 t) t) (-.f64 5/6 (/.f64 2/9 t))) |
1 calls:
| 59.0ms | t |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 3 | t |
Compiled 67 to 52 computations (22.4% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 82.0ms | 1.4437455465371752e-5 | 1393.6100097161288 |
| 82.0ms | -14562.364739258366 | -0.0004327031460810113 |
Compiled 34 to 29 computations (14.7% saved)
| Inputs |
|---|
5/6 |
1/2 |
5/6 |
1/2 |
5/6 |
(+.f64 (*.f64 t t) 1/2) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) |
(-.f64 1 (-.f64 1/2 (*.f64 t t))) |
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)) |
(+.f64 (/.f64 (/.f64 1/27 t) t) (-.f64 5/6 (/.f64 2/9 t))) |
| Outputs |
|---|
(+.f64 (/.f64 (/.f64 1/27 t) t) (-.f64 5/6 (/.f64 2/9 t))) |
(+.f64 (*.f64 t t) 1/2) |
(+.f64 (/.f64 (/.f64 1/27 t) t) (-.f64 5/6 (/.f64 2/9 t))) |
1 calls:
| 53.0ms | t |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 3 | t |
Compiled 52 to 40 computations (23.1% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 59.0ms | 1.4437455465371752e-5 | 1393.6100097161288 |
| 83.0ms | -14562.364739258366 | -0.0004327031460810113 |
Compiled 34 to 29 computations (14.7% saved)
| Inputs |
|---|
5/6 |
1/2 |
5/6 |
1/2 |
5/6 |
(+.f64 (*.f64 t t) 1/2) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) |
(-.f64 1 (-.f64 1/2 (*.f64 t t))) |
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)) |
| Outputs |
|---|
(+.f64 5/6 (/.f64 -2/9 t)) |
(+.f64 (*.f64 t t) 1/2) |
(+.f64 5/6 (/.f64 -2/9 t)) |
1 calls:
| 41.0ms | t |
| Error | Segments | Branch |
|---|---|---|
| 0.4b | 3 | t |
Compiled 41 to 32 computations (22% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 31.0ms | 1.4437455465371752e-5 | 1393.6100097161288 |
| 53.0ms | -14562.364739258366 | -0.0004327031460810113 |
Compiled 34 to 29 computations (14.7% saved)
| Inputs |
|---|
5/6 |
1/2 |
5/6 |
1/2 |
5/6 |
(+.f64 (*.f64 t t) 1/2) |
| Outputs |
|---|
5/6 |
(+.f64 (*.f64 t t) 1/2) |
5/6 |
1 calls:
| 52.0ms | t |
| Error | Segments | Branch |
|---|---|---|
| 0.5b | 3 | t |
Compiled 13 to 10 computations (23.1% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 54.0ms | 1.4437455465371752e-5 | 1393.6100097161288 |
| 83.0ms | -14562.364739258366 | -0.0004327031460810113 |
Compiled 34 to 29 computations (14.7% saved)
Total -50.7b remaining (-7399.4%)
Threshold costs -50.7b (-7399.4%)
| Inputs |
|---|
5/6 |
1/2 |
5/6 |
1/2 |
5/6 |
| Outputs |
|---|
5/6 |
1/2 |
5/6 |
1 calls:
| 33.0ms | t |
| Error | Segments | Branch |
|---|---|---|
| 0.7b | 3 | t |
Compiled 8 to 7 computations (12.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 42.0ms | 1.4437455465371752e-5 | 1393.6100097161288 |
| 44.0ms | -14562.364739258366 | -0.0004327031460810113 |
Compiled 34 to 29 computations (14.7% saved)
| 1× | egg-herbie |
| 19× | +-commutative_binary64 |
| 9× | sub-neg_binary64 |
| 8× | *-commutative_binary64 |
| 5× | distribute-neg-frac_binary64 |
| 5× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 255 |
| 1 | 84 | 255 |
| 2 | 103 | 255 |
| 3 | 116 | 255 |
| 4 | 122 | 255 |
| 5 | 123 | 255 |
| 1× | fuel |
| 1× | saturated |
| 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)))))))) |
(+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))) |
(if (<=.f64 t -250179521230153/17179869184) (+.f64 (/.f64 (/.f64 1/27 t) t) (-.f64 5/6 (/.f64 2/9 t))) (if (<=.f64 t 4261184736724671/295147905179352825856) (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))) (+.f64 (/.f64 (/.f64 1/27 t) t) (-.f64 5/6 (/.f64 2/9 t))))) |
(if (<=.f64 t -250179521230153/17179869184) (+.f64 (/.f64 (/.f64 1/27 t) t) (-.f64 5/6 (/.f64 2/9 t))) (if (<=.f64 t 4261184736724671/295147905179352825856) (+.f64 (*.f64 t t) 1/2) (+.f64 (/.f64 (/.f64 1/27 t) t) (-.f64 5/6 (/.f64 2/9 t))))) |
(if (<=.f64 t -250179521230153/17179869184) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 4261184736724671/295147905179352825856) (+.f64 (*.f64 t t) 1/2) (+.f64 5/6 (/.f64 -2/9 t)))) |
(if (<=.f64 t -250179521230153/17179869184) 5/6 (if (<=.f64 t 4261184736724671/295147905179352825856) (+.f64 (*.f64 t t) 1/2) 5/6)) |
(if (<=.f64 t -250179521230153/17179869184) 5/6 (if (<=.f64 t 4261184736724671/295147905179352825856) 1/2 5/6)) |
5/6 |
| 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 (*.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 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))) |
(if (<=.f64 t -250179521230153/17179869184) (+.f64 (/.f64 (/.f64 1/27 t) t) (-.f64 5/6 (/.f64 2/9 t))) (if (<=.f64 t 4261184736724671/295147905179352825856) (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))) (+.f64 (/.f64 (/.f64 1/27 t) t) (-.f64 5/6 (/.f64 2/9 t))))) |
(if (<=.f64 t -250179521230153/17179869184) (+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 5/6 (/.f64 -2/9 t))) (if (<=.f64 t 4261184736724671/295147905179352825856) (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))) (+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 5/6 (/.f64 -2/9 t))))) |
(if (<=.f64 t -250179521230153/17179869184) (+.f64 (/.f64 (/.f64 1/27 t) t) (-.f64 5/6 (/.f64 2/9 t))) (if (<=.f64 t 4261184736724671/295147905179352825856) (+.f64 (*.f64 t t) 1/2) (+.f64 (/.f64 (/.f64 1/27 t) t) (-.f64 5/6 (/.f64 2/9 t))))) |
(if (<=.f64 t -250179521230153/17179869184) (+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 5/6 (/.f64 -2/9 t))) (if (<=.f64 t 4261184736724671/295147905179352825856) (+.f64 (*.f64 t t) 1/2) (+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 5/6 (/.f64 -2/9 t))))) |
(if (<=.f64 t -250179521230153/17179869184) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 4261184736724671/295147905179352825856) (+.f64 (*.f64 t t) 1/2) (+.f64 5/6 (/.f64 -2/9 t)))) |
(if (<=.f64 t -250179521230153/17179869184) 5/6 (if (<=.f64 t 4261184736724671/295147905179352825856) (+.f64 (*.f64 t t) 1/2) 5/6)) |
(if (<=.f64 t -250179521230153/17179869184) 5/6 (if (<=.f64 t 4261184736724671/295147905179352825856) 1/2 5/6)) |
5/6 |
Compiled 184 to 145 computations (21.2% saved)
Compiled 177 to 136 computations (23.2% saved)
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