Time bar (total: 7.3s)
| 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)
| 1.5s | 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 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) |
| ✓ | 0.0b | (/.f64 4 (+.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 4 (+.f64 1 t)) -8) |
| 0.0ms | t | @ | inf | (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) |
| 1× | batch-egg-rewrite |
| 594× | log-prod_binary64 |
| 338× | prod-diff_binary64 |
| 289× | fma-def_binary64 |
| 253× | log-div_binary64 |
| 250× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 55 |
| 1 | 297 | 55 |
| 2 | 3902 | 55 |
| 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 4 (+.f64 1 t)) |
(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))) (cbrt.f64 (exp.f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))))) (log.f64 (cbrt.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 +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))))) (log.f64 (sqrt.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 -.f64 (exp.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 *.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 (pow.f64 (/.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 (/.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 (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)) -1)))) (#(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 pow.f64 (/.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6) -1) 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 (pow.f64 (/.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 (/.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 (/.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) (+.f64 1 t)) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.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 (exp.f64 (log1p.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 16 (pow.f64 (+.f64 1 t) 2)) (+.f64 (/.f64 4 (+.f64 1 t)) 8)) (/.f64 64 (+.f64 (/.f64 4 (+.f64 1 t)) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 4 (+.f64 1 t)) -8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) 2) (cbrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) (sqrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -512 (/.f64 64 (pow.f64 (+.f64 1 t) 3))) (/.f64 1 (+.f64 (/.f64 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1 t)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -512 (/.f64 64 (pow.f64 (+.f64 1 t) 3)))) (neg.f64 (+.f64 (/.f64 16 (pow.f64 (+.f64 1 t) 2)) (-.f64 64 (/.f64 -32 (+.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (/.f64 16 (pow.f64 (+.f64 1 t) 2)) -64)) (neg.f64 (+.f64 (/.f64 4 (+.f64 1 t)) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 64 (/.f64 16 (pow.f64 (+.f64 1 t) 2))) (-.f64 -8 (/.f64 4 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 16 (pow.f64 (+.f64 1 t) 2)) (-.f64 64 (/.f64 -32 (+.f64 1 t)))) (+.f64 -512 (/.f64 64 (pow.f64 (+.f64 1 t) 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) 8) (+.f64 (/.f64 16 (pow.f64 (+.f64 1 t) 2)) -64)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (/.f64 1 (+.f64 1 t)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 4 (+.f64 1 t)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 4 (+.f64 1 t)) 1 -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4 (+.f64 1 t))) (cbrt.f64 (/.f64 16 (pow.f64 (+.f64 1 t) 2))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 16 (pow.f64 (+.f64 1 t) 2))) (cbrt.f64 (/.f64 4 (+.f64 1 t))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (sqrt.f64 (+.f64 1 t))) (/.f64 2 (sqrt.f64 (+.f64 1 t))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -4 (/.f64 1 (+.f64 -1 (neg.f64 t))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 1 t)) 4 -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 4 (+.f64 1 (pow.f64 t 3))) (fma.f64 t (-.f64 t 1) 1) -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 4 (-.f64 1 (*.f64 t t))) (-.f64 1 t) -8))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 4 (+.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 4 (+.f64 1 t)))) (cbrt.f64 (exp.f64 (/.f64 4 (+.f64 1 t)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 4 (+.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 4 (+.f64 1 t))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 4 (+.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 4 (+.f64 1 t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 1 (+.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 4 (+.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (+.f64 1 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4 (+.f64 1 t))) (cbrt.f64 (/.f64 16 (pow.f64 (+.f64 1 t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 16 (pow.f64 (+.f64 1 t) 2))) (cbrt.f64 (/.f64 4 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sqrt.f64 (+.f64 1 t))) (/.f64 2 (sqrt.f64 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (/.f64 1 (+.f64 -1 (neg.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 t)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (+.f64 1 (pow.f64 t 3))) (fma.f64 t (-.f64 t 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (-.f64 1 (*.f64 t t))) (-.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4 (+.f64 1 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 4 (+.f64 1 t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (sqrt.f64 (+.f64 1 t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 64 (pow.f64 (+.f64 1 t) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 1 t) 1/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (+.f64 1 t) 1/4) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 16 (pow.f64 (+.f64 1 t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 4 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (+.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 64 (pow.f64 (+.f64 1 t) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 4 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 4 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 4) (log1p.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 4) (log1p.f64 t)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (/.f64 1 (+.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) (/.f64 1 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) (*.f64 (sqrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) (/.f64 1 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))) (sqrt.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) (/.f64 1 (+.f64 -1 (neg.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 t)) (+.f64 (/.f64 4 (+.f64 1 t)) -8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) (+.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) 1) (/.f64 (sqrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) (+.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 t)) 2)) (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (cbrt.f64 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) 2) (pow.f64 (cbrt.f64 (+.f64 1 t)) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) (pow.f64 (cbrt.f64 (+.f64 1 t)) 2)) (/.f64 (sqrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) (cbrt.f64 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 1 t))) (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (sqrt.f64 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) 2) (sqrt.f64 (+.f64 1 t))) (/.f64 (cbrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) (sqrt.f64 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 (pow.f64 t 3))) (fma.f64 t (-.f64 t 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (-.f64 1 (*.f64 t t))) (-.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 t) (+.f64 (/.f64 4 (+.f64 1 t)) -8)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 1 t) (+.f64 (/.f64 4 (+.f64 1 t)) -8)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 -1 (neg.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) (log1p.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) (log1p.f64 t)) 1)))))) |
| 1× | egg-herbie |
| 407× | sub-neg_binary64 |
| 393× | distribute-rgt-out_binary64 |
| 336× | fma-def_binary64 |
| 335× | fma-neg_binary64 |
| 332× | distribute-lft-out_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 86 | 656 |
| 1 | 259 | 639 |
| 2 | 716 | 629 |
| 3 | 1957 | 619 |
| 4 | 5244 | 619 |
| 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 4 (*.f64 -4 t)) |
(+.f64 4 (+.f64 (*.f64 -4 t) (*.f64 4 (pow.f64 t 2)))) |
(+.f64 4 (+.f64 (*.f64 -4 t) (+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))))) |
(/.f64 4 t) |
(-.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 (/.f64 1 (pow.f64 t 2)))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 (/.f64 1 (pow.f64 t 3)))) (*.f64 4 (/.f64 1 (pow.f64 t 2)))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 (/.f64 1 (pow.f64 t 3)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 t 2))) (*.f64 4 (/.f64 1 (pow.f64 t 4))))) |
(/.f64 4 t) |
(-.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 (/.f64 1 (pow.f64 t 2)))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 (/.f64 1 (pow.f64 t 3)))) (*.f64 4 (/.f64 1 (pow.f64 t 2)))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 (/.f64 1 (pow.f64 t 3)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 t 2))) (*.f64 4 (/.f64 1 (pow.f64 t 4))))) |
-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)))) |
| 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 (*.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 -1/6 (/.f64 -2/9 t)) |
(-.f64 -1/6 (/.f64 2/9 t)) |
(-.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 -1/6 (/.f64 -2/9 t)) (/.f64 1/27 (*.f64 t t))) |
(+.f64 (-.f64 -1/6 (/.f64 2/9 t)) (/.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 1/27 (*.f64 t t)) (+.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 -1/6 (/.f64 -2/9 t)))) |
(+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3)))) |
(+.f64 (-.f64 -1/6 (/.f64 2/9 t)) (+.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 -1/6 (/.f64 -2/9 t)) |
(-.f64 -1/6 (/.f64 2/9 t)) |
(-.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 -1/6 (/.f64 -2/9 t)) (/.f64 1/27 (*.f64 t t))) |
(+.f64 (-.f64 -1/6 (/.f64 2/9 t)) (/.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 1/27 (*.f64 t t)) (+.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 -1/6 (/.f64 -2/9 t)))) |
(+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3)))) |
(+.f64 (-.f64 -1/6 (/.f64 2/9 t)) (+.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 (*.f64 t 4) (fma.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)) |
(+.f64 (fma.f64 t -4 -4) (*.f64 (*.f64 t t) (fma.f64 t -4 4))) |
(fma.f64 t -4 (fma.f64 t (*.f64 t (fma.f64 t -4 4)) -4)) |
(fma.f64 t -4 (fma.f64 (*.f64 t t) (fma.f64 t -4 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 (+.f64 -8 (/.f64 4 t)) (/.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 (/.f64 4 t) (/.f64 4 (pow.f64 t 3))) (+.f64 8 (/.f64 4 (*.f64 t t)))) |
(+.f64 (/.f64 4 t) (-.f64 (-.f64 (/.f64 4 (pow.f64 t 3)) (/.f64 4 (*.f64 t t))) 8)) |
(+.f64 -8 (+.f64 (/.f64 4 t) (-.f64 (/.f64 4 (pow.f64 t 3)) (/.f64 4 (*.f64 t t))))) |
(+.f64 (/.f64 4 (pow.f64 t 3)) (+.f64 (+.f64 -8 (/.f64 4 t)) (/.f64 -4 (*.f64 t t)))) |
(+.f64 (/.f64 -4 (*.f64 t t)) (+.f64 (/.f64 4 t) (+.f64 -8 (/.f64 4 (pow.f64 t 3))))) |
-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 (+.f64 -8 (/.f64 4 t)) (/.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 (/.f64 4 t) (/.f64 4 (pow.f64 t 3))) (+.f64 8 (/.f64 4 (*.f64 t t)))) |
(+.f64 (/.f64 4 t) (-.f64 (-.f64 (/.f64 4 (pow.f64 t 3)) (/.f64 4 (*.f64 t t))) 8)) |
(+.f64 -8 (+.f64 (/.f64 4 t) (-.f64 (/.f64 4 (pow.f64 t 3)) (/.f64 4 (*.f64 t t))))) |
(+.f64 (/.f64 4 (pow.f64 t 3)) (+.f64 (+.f64 -8 (/.f64 4 t)) (/.f64 -4 (*.f64 t t)))) |
(+.f64 (/.f64 -4 (*.f64 t t)) (+.f64 (/.f64 4 t) (+.f64 -8 (/.f64 4 (pow.f64 t 3))))) |
4 |
(+.f64 4 (*.f64 -4 t)) |
(+.f64 4 (*.f64 t -4)) |
(fma.f64 t -4 4) |
(+.f64 4 (+.f64 (*.f64 -4 t) (*.f64 4 (pow.f64 t 2)))) |
(+.f64 4 (fma.f64 -4 t (*.f64 (*.f64 t t) 4))) |
(+.f64 (*.f64 (*.f64 4 t) t) (fma.f64 t -4 4)) |
(fma.f64 t -4 (*.f64 (fma.f64 t t 1) 4)) |
(fma.f64 t -4 (fma.f64 t (*.f64 t 4) 4)) |
(fma.f64 t (*.f64 t 4) (fma.f64 t -4 4)) |
(+.f64 4 (+.f64 (*.f64 -4 t) (+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))))) |
(+.f64 4 (fma.f64 -4 t (fma.f64 -4 (pow.f64 t 3) (*.f64 (*.f64 t t) 4)))) |
(+.f64 4 (fma.f64 t -4 (fma.f64 (pow.f64 t 3) -4 (*.f64 (*.f64 4 t) t)))) |
(+.f64 4 (fma.f64 t -4 (*.f64 (*.f64 t t) (fma.f64 t -4 4)))) |
(*.f64 (fma.f64 t t 1) (fma.f64 t -4 4)) |
(/.f64 4 t) |
(-.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 (/.f64 1 (pow.f64 t 2)))) |
(-.f64 (/.f64 4 t) (/.f64 4 (*.f64 t t))) |
(+.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 4 (/.f64 1 (pow.f64 t 2)))) |
(+.f64 (/.f64 4 t) (-.f64 (/.f64 4 (pow.f64 t 3)) (/.f64 4 (*.f64 t t)))) |
(+.f64 (/.f64 4 (pow.f64 t 3)) (+.f64 (/.f64 4 t) (/.f64 -4 (*.f64 t t)))) |
(+.f64 (/.f64 4 t) (+.f64 (/.f64 4 (pow.f64 t 3)) (/.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))) (*.f64 4 (/.f64 1 (pow.f64 t 4))))) |
(-.f64 (+.f64 (/.f64 4 t) (-.f64 (/.f64 4 (pow.f64 t 3)) (/.f64 4 (*.f64 t t)))) (/.f64 4 (pow.f64 t 4))) |
(+.f64 (/.f64 4 (pow.f64 t 3)) (+.f64 (/.f64 4 t) (-.f64 (/.f64 -4 (pow.f64 t 4)) (/.f64 4 (*.f64 t t))))) |
(-.f64 (*.f64 (/.f64 1 (pow.f64 t 3)) (-.f64 4 (/.f64 4 t))) (+.f64 (/.f64 4 (*.f64 t t)) (/.f64 -4 t))) |
(+.f64 (+.f64 (/.f64 4 (pow.f64 t 3)) (/.f64 -4 (*.f64 t t))) (+.f64 (/.f64 4 t) (/.f64 -4 (pow.f64 t 4)))) |
(/.f64 4 t) |
(-.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 (/.f64 1 (pow.f64 t 2)))) |
(-.f64 (/.f64 4 t) (/.f64 4 (*.f64 t t))) |
(+.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 4 (/.f64 1 (pow.f64 t 2)))) |
(+.f64 (/.f64 4 t) (-.f64 (/.f64 4 (pow.f64 t 3)) (/.f64 4 (*.f64 t t)))) |
(+.f64 (/.f64 4 (pow.f64 t 3)) (+.f64 (/.f64 4 t) (/.f64 -4 (*.f64 t t)))) |
(+.f64 (/.f64 4 t) (+.f64 (/.f64 4 (pow.f64 t 3)) (/.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))) (*.f64 4 (/.f64 1 (pow.f64 t 4))))) |
(-.f64 (+.f64 (/.f64 4 t) (-.f64 (/.f64 4 (pow.f64 t 3)) (/.f64 4 (*.f64 t t)))) (/.f64 4 (pow.f64 t 4))) |
(+.f64 (/.f64 4 (pow.f64 t 3)) (+.f64 (/.f64 4 t) (-.f64 (/.f64 -4 (pow.f64 t 4)) (/.f64 4 (*.f64 t t))))) |
(-.f64 (*.f64 (/.f64 1 (pow.f64 t 3)) (-.f64 4 (/.f64 4 t))) (+.f64 (/.f64 4 (*.f64 t t)) (/.f64 -4 t))) |
(+.f64 (+.f64 (/.f64 4 (pow.f64 t 3)) (/.f64 -4 (*.f64 t t))) (+.f64 (/.f64 4 t) (/.f64 -4 (pow.f64 t 4)))) |
-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 (*.f64 t 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 (*.f64 4 t) t)))) |
(fma.f64 (pow.f64 t 3) -8 (fma.f64 t (*.f64 t 4) (fma.f64 (pow.f64 t 4) 12 -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 (/.f64 12 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 -16 (pow.f64 t 3)) (/.f64 8 t))) |
(+.f64 (/.f64 (/.f64 12 t) t) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3)))) |
(+.f64 (/.f64 (/.f64 12 t) t) (-.f64 (/.f64 -8 t) (/.f64 16 (pow.f64 t 3)))) |
(-.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 (/.f64 12 (*.f64 t t)) (/.f64 20 (pow.f64 t 4))) (/.f64 16 (pow.f64 t 3))) (/.f64 8 t)) |
(+.f64 (/.f64 20 (pow.f64 t 4)) (-.f64 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)) (/.f64 16 (pow.f64 t 3)))) |
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 20 (pow.f64 t 4)) (-.f64 (/.f64 -16 (pow.f64 t 3)) (/.f64 8 t)))) |
(+.f64 (/.f64 (/.f64 12 t) t) (+.f64 (/.f64 20 (pow.f64 t 4)) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3))))) |
(+.f64 (/.f64 (/.f64 12 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 (/.f64 12 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 -16 (pow.f64 t 3)) (/.f64 8 t))) |
(+.f64 (/.f64 (/.f64 12 t) t) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3)))) |
(+.f64 (/.f64 (/.f64 12 t) t) (-.f64 (/.f64 -8 t) (/.f64 16 (pow.f64 t 3)))) |
(-.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 (/.f64 12 (*.f64 t t)) (/.f64 20 (pow.f64 t 4))) (/.f64 16 (pow.f64 t 3))) (/.f64 8 t)) |
(+.f64 (/.f64 20 (pow.f64 t 4)) (-.f64 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)) (/.f64 16 (pow.f64 t 3)))) |
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 20 (pow.f64 t 4)) (-.f64 (/.f64 -16 (pow.f64 t 3)) (/.f64 8 t)))) |
(+.f64 (/.f64 (/.f64 12 t) t) (+.f64 (/.f64 20 (pow.f64 t 4)) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3))))) |
(+.f64 (/.f64 (/.f64 12 t) t) (+.f64 (/.f64 20 (pow.f64 t 4)) (-.f64 (/.f64 -8 t) (/.f64 16 (pow.f64 t 3))))) |
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))))) |
| ✓ | 3.1b | (-.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)))) |
| 1.0ms | t | @ | inf | (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))) |
| 0.0ms | t | @ | inf | (-.f64 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))))) |
| 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))))))) |
| 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 |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (*.f64 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))))) (cbrt.f64 (exp.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 2 (/.f64 (/.f64 -2 t) 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| 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 12934 to 11282 computations (12.8% saved)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 453 | 8 | 461 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 454 | 9 | 463 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))) |
| ▶ | 30.9b | (-.f64 1 (+.f64 1/6 (/.f64 2/9 t))) |
| ▶ | 26.0b | (-.f64 1 (/.f64 1 (+.f64 6 (/.f64 -8 t)))) |
| ▶ | 25.6b | (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12)))))))) |
| 31.8b | (-.f64 1 (-.f64 1/2 (*.f64 t t))) | |
| 26.2b | (-.f64 1 1/2) | |
| 31.0b | (-.f64 1 (+.f64 (/.f64 2/9 t) (+.f64 1/6 (/.f64 (/.f64 -1/27 t) t)))) | |
| ▶ | 26.0b | (-.f64 1 1/6) |
| ▶ | 25.6b | (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))) |
Compiled 186 to 156 computations (16.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 -8 (*.f64 t 12)) |
| ✓ | 0.0b | (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12))))) |
| ✓ | 0.1b | (*.f64 t (+.f64 -8 (*.f64 t 12))) |
| ✓ | 0.3b | (/.f64 1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12))))))) |
Compiled 98 to 69 computations (29.6% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | inf | (/.f64 1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12))))))) |
| 1.0ms | t | @ | -inf | (/.f64 1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12))))))) |
| 1.0ms | t | @ | inf | (*.f64 t (+.f64 -8 (*.f64 t 12))) |
| 1.0ms | t | @ | inf | (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12))))) |
| 0.0ms | t | @ | 0 | (/.f64 1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12))))))) |
| 1× | batch-egg-rewrite |
| 731× | prod-diff_binary64 |
| 477× | fma-def_binary64 |
| 280× | expm1-udef_binary64 |
| 280× | log1p-udef_binary64 |
| 217× | log-pow_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 61 |
| 1 | 343 | 47 |
| 2 | 4638 | 47 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12))))))) |
(*.f64 t (+.f64 -8 (*.f64 t 12))) |
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12))))) |
(+.f64 -8 (*.f64 t 12)) |
| Outputs |
|---|
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t 12 -8) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 t t) (fma.f64 t 12 -8)) t (*.f64 t (*.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 t t) (pow.f64 (cbrt.f64 (*.f64 t (fma.f64 t 12 -8))) 2)) (cbrt.f64 (*.f64 t (fma.f64 t 12 -8))) (*.f64 t (*.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 t t) (sqrt.f64 (*.f64 t (fma.f64 t 12 -8)))) (sqrt.f64 (*.f64 t (fma.f64 t 12 -8))) (*.f64 t (*.f64 t 4))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 t 12 -8))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 64 (-.f64 -8 (*.f64 t 12))) (/.f64 (*.f64 (*.f64 t t) 144) (-.f64 -8 (*.f64 t 12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 t 12 -8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 t 12 -8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 t 12 -8)) (pow.f64 (cbrt.f64 (fma.f64 t 12 -8)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 t 12 -8)) 2) (cbrt.f64 (fma.f64 t 12 -8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 t 12 -8)) (sqrt.f64 (fma.f64 t 12 -8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1728 (pow.f64 t 3) -512) (/.f64 1 (fma.f64 (*.f64 t 12) (fma.f64 t 12 8) 64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 64 (*.f64 (*.f64 t t) 144)) (/.f64 1 (-.f64 -8 (*.f64 t 12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 t 12) (fma.f64 t 12 8) 64) (fma.f64 1728 (pow.f64 t 3) -512)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 -8 (*.f64 t 12)) (-.f64 64 (*.f64 (*.f64 t t) 144))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1728 (pow.f64 t 3) -512) (fma.f64 (*.f64 t 12) (fma.f64 t 12 8) 64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1728 (pow.f64 t 3) -512) (fma.f64 (*.f64 t t) 144 (-.f64 64 (*.f64 -96 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 64 (*.f64 (*.f64 t t) 144)) (-.f64 -8 (*.f64 t 12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 1728 (pow.f64 t 3) -512)) (neg.f64 (fma.f64 (*.f64 t 12) (fma.f64 t 12 8) 64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 64 (*.f64 (*.f64 t t) 144))) (neg.f64 (-.f64 -8 (*.f64 t 12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 t t) 144 -64) (fma.f64 t 12 8))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 t 12 -8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 t 12 -8) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 t 12 -8)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 t 12 -8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 t 12 -8) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 t 12 -8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 t 12 -8))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 t 12 -8) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 t 12 -8)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 t 12 -8)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 t 12 -8)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 t 12 -8)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 t 12) -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 t 12 -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 12 t -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 t 12) 1 -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 t 12)) (cbrt.f64 (*.f64 (*.f64 t t) 144)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 t t) 144)) (cbrt.f64 (*.f64 t 12)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 t) 2) (*.f64 (cbrt.f64 t) 12) -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 t 12)) (sqrt.f64 (*.f64 t 12)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 t) (*.f64 (sqrt.f64 t) 12) -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 12 (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t) -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 12 (sqrt.f64 t)) (sqrt.f64 t) -8))))) |
| 1× | egg-herbie |
| 558× | fma-def_binary64 |
| 506× | unswap-sqr_binary64 |
| 426× | times-frac_binary64 |
| 404× | associate-/l/_binary64 |
| 394× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 573 |
| 1 | 151 | 566 |
| 2 | 340 | 531 |
| 3 | 1035 | 501 |
| 4 | 4225 | 501 |
| 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 3)) (*.f64 -1 (pow.f64 t 4))))) |
(/.f64 1/12 (pow.f64 t 4)) |
(+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 t 4))) (*.f64 1/18 (/.f64 1 (pow.f64 t 5)))) |
(+.f64 (*.f64 1/18 (/.f64 1 (pow.f64 t 5))) (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 t 4))) (*.f64 1/108 (/.f64 1 (pow.f64 t 6))))) |
(-.f64 (+.f64 (*.f64 1/18 (/.f64 1 (pow.f64 t 5))) (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 t 4))) (*.f64 1/108 (/.f64 1 (pow.f64 t 6))))) (*.f64 1/81 (/.f64 1 (pow.f64 t 7)))) |
(/.f64 1/12 (pow.f64 t 4)) |
(+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 t 4))) (*.f64 1/18 (/.f64 1 (pow.f64 t 5)))) |
(+.f64 (*.f64 1/18 (/.f64 1 (pow.f64 t 5))) (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 t 4))) (*.f64 1/108 (/.f64 1 (pow.f64 t 6))))) |
(-.f64 (+.f64 (*.f64 1/18 (/.f64 1 (pow.f64 t 5))) (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 t 4))) (*.f64 1/108 (/.f64 1 (pow.f64 t 6))))) (*.f64 1/81 (/.f64 1 (pow.f64 t 7)))) |
(*.f64 -8 t) |
(+.f64 (*.f64 -8 t) (*.f64 12 (pow.f64 t 2))) |
(+.f64 (*.f64 -8 t) (*.f64 12 (pow.f64 t 2))) |
(+.f64 (*.f64 -8 t) (*.f64 12 (pow.f64 t 2))) |
(*.f64 12 (pow.f64 t 2)) |
(+.f64 (*.f64 -8 t) (*.f64 12 (pow.f64 t 2))) |
(+.f64 (*.f64 -8 t) (*.f64 12 (pow.f64 t 2))) |
(+.f64 (*.f64 -8 t) (*.f64 12 (pow.f64 t 2))) |
(*.f64 12 (pow.f64 t 2)) |
(+.f64 (*.f64 -8 t) (*.f64 12 (pow.f64 t 2))) |
(+.f64 (*.f64 -8 t) (*.f64 12 (pow.f64 t 2))) |
(+.f64 (*.f64 -8 t) (*.f64 12 (pow.f64 t 2))) |
(*.f64 4 (pow.f64 t 2)) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2)))) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2)))) |
(*.f64 12 (pow.f64 t 4)) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 12 (pow.f64 t 4))) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4)))) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4)))) |
(*.f64 12 (pow.f64 t 4)) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 12 (pow.f64 t 4))) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4)))) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4)))) |
-8 |
(-.f64 (*.f64 12 t) 8) |
(-.f64 (*.f64 12 t) 8) |
(-.f64 (*.f64 12 t) 8) |
(*.f64 12 t) |
(-.f64 (*.f64 12 t) 8) |
(-.f64 (*.f64 12 t) 8) |
(-.f64 (*.f64 12 t) 8) |
(*.f64 12 t) |
(-.f64 (*.f64 12 t) 8) |
(-.f64 (*.f64 12 t) 8) |
(-.f64 (*.f64 12 t) 8) |
| 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)) |
(fma.f64 t (neg.f64 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 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 t (neg.f64 t) 1/2) (*.f64 (pow.f64 t 3) (-.f64 2 t))) |
(-.f64 (*.f64 (pow.f64 t 3) (-.f64 2 t)) (fma.f64 t t -1/2)) |
(-.f64 (fma.f64 (pow.f64 t 3) (-.f64 2 t) 1/2) (*.f64 t t)) |
(/.f64 1/12 (pow.f64 t 4)) |
(+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 t 4))) (*.f64 1/18 (/.f64 1 (pow.f64 t 5)))) |
(+.f64 (/.f64 1/12 (pow.f64 t 4)) (/.f64 1/18 (pow.f64 t 5))) |
(+.f64 (*.f64 1/18 (/.f64 1 (pow.f64 t 5))) (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 t 4))) (*.f64 1/108 (/.f64 1 (pow.f64 t 6))))) |
(+.f64 (/.f64 1/18 (pow.f64 t 5)) (+.f64 (/.f64 1/12 (pow.f64 t 4)) (/.f64 1/108 (pow.f64 t 6)))) |
(+.f64 (/.f64 1/12 (pow.f64 t 4)) (+.f64 (/.f64 1/108 (pow.f64 t 6)) (/.f64 1/18 (pow.f64 t 5)))) |
(+.f64 (/.f64 1/12 (pow.f64 t 4)) (+.f64 (/.f64 1/18 (pow.f64 t 5)) (/.f64 1/108 (pow.f64 t 6)))) |
(-.f64 (+.f64 (*.f64 1/18 (/.f64 1 (pow.f64 t 5))) (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 t 4))) (*.f64 1/108 (/.f64 1 (pow.f64 t 6))))) (*.f64 1/81 (/.f64 1 (pow.f64 t 7)))) |
(+.f64 (/.f64 1/18 (pow.f64 t 5)) (-.f64 (+.f64 (/.f64 1/12 (pow.f64 t 4)) (/.f64 1/108 (pow.f64 t 6))) (/.f64 1/81 (pow.f64 t 7)))) |
(+.f64 (/.f64 1/18 (pow.f64 t 5)) (+.f64 (/.f64 1/108 (pow.f64 t 6)) (-.f64 (/.f64 1/12 (pow.f64 t 4)) (/.f64 1/81 (pow.f64 t 7))))) |
(+.f64 (/.f64 1/12 (pow.f64 t 4)) (-.f64 (+.f64 (/.f64 1/18 (pow.f64 t 5)) (/.f64 1/108 (pow.f64 t 6))) (/.f64 1/81 (pow.f64 t 7)))) |
(+.f64 (+.f64 (/.f64 1/12 (pow.f64 t 4)) (+.f64 (/.f64 1/18 (pow.f64 t 5)) (/.f64 1/108 (pow.f64 t 6)))) (/.f64 -1/81 (pow.f64 t 7))) |
(+.f64 (/.f64 1/18 (pow.f64 t 5)) (+.f64 (/.f64 1/12 (pow.f64 t 4)) (-.f64 (/.f64 1/108 (pow.f64 t 6)) (/.f64 1/81 (pow.f64 t 7))))) |
(/.f64 1/12 (pow.f64 t 4)) |
(+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 t 4))) (*.f64 1/18 (/.f64 1 (pow.f64 t 5)))) |
(+.f64 (/.f64 1/12 (pow.f64 t 4)) (/.f64 1/18 (pow.f64 t 5))) |
(+.f64 (*.f64 1/18 (/.f64 1 (pow.f64 t 5))) (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 t 4))) (*.f64 1/108 (/.f64 1 (pow.f64 t 6))))) |
(+.f64 (/.f64 1/18 (pow.f64 t 5)) (+.f64 (/.f64 1/12 (pow.f64 t 4)) (/.f64 1/108 (pow.f64 t 6)))) |
(+.f64 (/.f64 1/12 (pow.f64 t 4)) (+.f64 (/.f64 1/108 (pow.f64 t 6)) (/.f64 1/18 (pow.f64 t 5)))) |
(+.f64 (/.f64 1/12 (pow.f64 t 4)) (+.f64 (/.f64 1/18 (pow.f64 t 5)) (/.f64 1/108 (pow.f64 t 6)))) |
(-.f64 (+.f64 (*.f64 1/18 (/.f64 1 (pow.f64 t 5))) (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 t 4))) (*.f64 1/108 (/.f64 1 (pow.f64 t 6))))) (*.f64 1/81 (/.f64 1 (pow.f64 t 7)))) |
(+.f64 (/.f64 1/18 (pow.f64 t 5)) (-.f64 (+.f64 (/.f64 1/12 (pow.f64 t 4)) (/.f64 1/108 (pow.f64 t 6))) (/.f64 1/81 (pow.f64 t 7)))) |
(+.f64 (/.f64 1/18 (pow.f64 t 5)) (+.f64 (/.f64 1/108 (pow.f64 t 6)) (-.f64 (/.f64 1/12 (pow.f64 t 4)) (/.f64 1/81 (pow.f64 t 7))))) |
(+.f64 (/.f64 1/12 (pow.f64 t 4)) (-.f64 (+.f64 (/.f64 1/18 (pow.f64 t 5)) (/.f64 1/108 (pow.f64 t 6))) (/.f64 1/81 (pow.f64 t 7)))) |
(+.f64 (+.f64 (/.f64 1/12 (pow.f64 t 4)) (+.f64 (/.f64 1/18 (pow.f64 t 5)) (/.f64 1/108 (pow.f64 t 6)))) (/.f64 -1/81 (pow.f64 t 7))) |
(+.f64 (/.f64 1/18 (pow.f64 t 5)) (+.f64 (/.f64 1/12 (pow.f64 t 4)) (-.f64 (/.f64 1/108 (pow.f64 t 6)) (/.f64 1/81 (pow.f64 t 7))))) |
(*.f64 -8 t) |
(*.f64 t -8) |
(+.f64 (*.f64 -8 t) (*.f64 12 (pow.f64 t 2))) |
(fma.f64 -8 t (*.f64 (*.f64 t t) 12)) |
(fma.f64 t -8 (*.f64 t (*.f64 t 12))) |
(*.f64 t (fma.f64 t 12 -8)) |
(+.f64 (*.f64 -8 t) (*.f64 12 (pow.f64 t 2))) |
(fma.f64 -8 t (*.f64 (*.f64 t t) 12)) |
(fma.f64 t -8 (*.f64 t (*.f64 t 12))) |
(*.f64 t (fma.f64 t 12 -8)) |
(+.f64 (*.f64 -8 t) (*.f64 12 (pow.f64 t 2))) |
(fma.f64 -8 t (*.f64 (*.f64 t t) 12)) |
(fma.f64 t -8 (*.f64 t (*.f64 t 12))) |
(*.f64 t (fma.f64 t 12 -8)) |
(*.f64 12 (pow.f64 t 2)) |
(*.f64 (*.f64 t t) 12) |
(*.f64 t (*.f64 t 12)) |
(+.f64 (*.f64 -8 t) (*.f64 12 (pow.f64 t 2))) |
(fma.f64 -8 t (*.f64 (*.f64 t t) 12)) |
(fma.f64 t -8 (*.f64 t (*.f64 t 12))) |
(*.f64 t (fma.f64 t 12 -8)) |
(+.f64 (*.f64 -8 t) (*.f64 12 (pow.f64 t 2))) |
(fma.f64 -8 t (*.f64 (*.f64 t t) 12)) |
(fma.f64 t -8 (*.f64 t (*.f64 t 12))) |
(*.f64 t (fma.f64 t 12 -8)) |
(+.f64 (*.f64 -8 t) (*.f64 12 (pow.f64 t 2))) |
(fma.f64 -8 t (*.f64 (*.f64 t t) 12)) |
(fma.f64 t -8 (*.f64 t (*.f64 t 12))) |
(*.f64 t (fma.f64 t 12 -8)) |
(*.f64 12 (pow.f64 t 2)) |
(*.f64 (*.f64 t t) 12) |
(*.f64 t (*.f64 t 12)) |
(+.f64 (*.f64 -8 t) (*.f64 12 (pow.f64 t 2))) |
(fma.f64 -8 t (*.f64 (*.f64 t t) 12)) |
(fma.f64 t -8 (*.f64 t (*.f64 t 12))) |
(*.f64 t (fma.f64 t 12 -8)) |
(+.f64 (*.f64 -8 t) (*.f64 12 (pow.f64 t 2))) |
(fma.f64 -8 t (*.f64 (*.f64 t t) 12)) |
(fma.f64 t -8 (*.f64 t (*.f64 t 12))) |
(*.f64 t (fma.f64 t 12 -8)) |
(+.f64 (*.f64 -8 t) (*.f64 12 (pow.f64 t 2))) |
(fma.f64 -8 t (*.f64 (*.f64 t t) 12)) |
(fma.f64 t -8 (*.f64 t (*.f64 t 12))) |
(*.f64 t (fma.f64 t 12 -8)) |
(*.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 (fma.f64 t -8 4))) |
(+.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 4 (*.f64 t t) (*.f64 (pow.f64 t 4) 12))) |
(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 (*.f64 t (fma.f64 t 12 -8)) 4)) |
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (fma.f64 t 12 -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 4 (*.f64 t t) (*.f64 (pow.f64 t 4) 12))) |
(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 (*.f64 t (fma.f64 t 12 -8)) 4)) |
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (fma.f64 t 12 -8)))) |
(*.f64 12 (pow.f64 t 4)) |
(*.f64 (pow.f64 t 4) 12) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 12 (pow.f64 t 4))) |
(fma.f64 -8 (pow.f64 t 3) (*.f64 (pow.f64 t 4) 12)) |
(fma.f64 (pow.f64 t 3) -8 (*.f64 (pow.f64 t 4) 12)) |
(*.f64 (*.f64 t t) (*.f64 t (fma.f64 t 12 -8))) |
(*.f64 (pow.f64 t 3) (fma.f64 t 12 -8)) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4)))) |
(fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (*.f64 t t) (*.f64 (pow.f64 t 4) 12))) |
(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 (*.f64 t (fma.f64 t 12 -8)) 4)) |
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (fma.f64 t 12 -8)))) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4)))) |
(fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (*.f64 t t) (*.f64 (pow.f64 t 4) 12))) |
(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 (*.f64 t (fma.f64 t 12 -8)) 4)) |
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (fma.f64 t 12 -8)))) |
(*.f64 12 (pow.f64 t 4)) |
(*.f64 (pow.f64 t 4) 12) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 12 (pow.f64 t 4))) |
(fma.f64 -8 (pow.f64 t 3) (*.f64 (pow.f64 t 4) 12)) |
(fma.f64 (pow.f64 t 3) -8 (*.f64 (pow.f64 t 4) 12)) |
(*.f64 (*.f64 t t) (*.f64 t (fma.f64 t 12 -8))) |
(*.f64 (pow.f64 t 3) (fma.f64 t 12 -8)) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4)))) |
(fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (*.f64 t t) (*.f64 (pow.f64 t 4) 12))) |
(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 (*.f64 t (fma.f64 t 12 -8)) 4)) |
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (fma.f64 t 12 -8)))) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4)))) |
(fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (*.f64 t t) (*.f64 (pow.f64 t 4) 12))) |
(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 (*.f64 t (fma.f64 t 12 -8)) 4)) |
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (fma.f64 t 12 -8)))) |
-8 |
(-.f64 (*.f64 12 t) 8) |
(fma.f64 12 t -8) |
(fma.f64 t 12 -8) |
(-.f64 (*.f64 12 t) 8) |
(fma.f64 12 t -8) |
(fma.f64 t 12 -8) |
(-.f64 (*.f64 12 t) 8) |
(fma.f64 12 t -8) |
(fma.f64 t 12 -8) |
(*.f64 12 t) |
(*.f64 t 12) |
(-.f64 (*.f64 12 t) 8) |
(fma.f64 12 t -8) |
(fma.f64 t 12 -8) |
(-.f64 (*.f64 12 t) 8) |
(fma.f64 12 t -8) |
(fma.f64 t 12 -8) |
(-.f64 (*.f64 12 t) 8) |
(fma.f64 12 t -8) |
(fma.f64 t 12 -8) |
(*.f64 12 t) |
(*.f64 t 12) |
(-.f64 (*.f64 12 t) 8) |
(fma.f64 12 t -8) |
(fma.f64 t 12 -8) |
(-.f64 (*.f64 12 t) 8) |
(fma.f64 12 t -8) |
(fma.f64 t 12 -8) |
(-.f64 (*.f64 12 t) 8) |
(fma.f64 12 t -8) |
(fma.f64 t 12 -8) |
Compiled 6 to 6 computations (0% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 1/6 (/.f64 2/9 t)) |
| ✓ | 0.3b | (/.f64 2/9 t) |
Compiled 20 to 16 computations (20% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | 0 | (/.f64 2/9 t) |
| 1.0ms | t | @ | inf | (/.f64 2/9 t) |
| 1.0ms | t | @ | -inf | (/.f64 2/9 t) |
| 1.0ms | t | @ | 0 | (+.f64 1/6 (/.f64 2/9 t)) |
| 0.0ms | t | @ | inf | (+.f64 1/6 (/.f64 2/9 t)) |
| 1× | batch-egg-rewrite |
| 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 1/6 (/.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) 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/36 (-.f64 1/6 (/.f64 2/9 t))) (/.f64 (pow.f64 (/.f64 2/9 t) 2) (-.f64 1/6 (/.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) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 2/9 t) 1/6)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2/9 t) 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2/9 t) 1/6)) 2) (cbrt.f64 (+.f64 (/.f64 2/9 t) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 2/9 t) 1/6)) (sqrt.f64 (+.f64 (/.f64 2/9 t) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/216 (pow.f64 (/.f64 2/9 t) 3)) (/.f64 1 (+.f64 1/36 (-.f64 (pow.f64 (/.f64 2/9 t) 2) (/.f64 1/27 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/36 (pow.f64 (/.f64 2/9 t) 2)) (/.f64 1 (-.f64 1/6 (/.f64 2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/36 (-.f64 (pow.f64 (/.f64 2/9 t) 2) (/.f64 1/27 t))) (+.f64 1/216 (pow.f64 (/.f64 2/9 t) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1/6 (/.f64 2/9 t)) (-.f64 1/36 (pow.f64 (/.f64 2/9 t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/216 (pow.f64 (/.f64 2/9 t) 3)) (+.f64 1/36 (-.f64 (pow.f64 (/.f64 2/9 t) 2) (/.f64 1/27 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/216 (pow.f64 (/.f64 2/9 t) 3)) (+.f64 (pow.f64 (/.f64 2/9 t) 2) (-.f64 1/36 (/.f64 1/27 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/36 (pow.f64 (/.f64 2/9 t) 2)) (-.f64 1/6 (/.f64 2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1/216 (pow.f64 (/.f64 2/9 t) 3))) (neg.f64 (+.f64 1/36 (-.f64 (pow.f64 (/.f64 2/9 t) 2) (/.f64 1/27 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/36 (pow.f64 (/.f64 2/9 t) 2))) (neg.f64 (-.f64 1/6 (/.f64 2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 2/9 t) 2) 1/36) (-.f64 (/.f64 2/9 t) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 2/9 t) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 2/9 t) 1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 2/9 t) 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 2/9 t) 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 2/9 t) 1/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 2/9 t) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 2/9 t) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 2/9 t) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 2/9 t) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 2/9 t) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/9 (/.f64 1 t) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 2/9 t) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 2/9 t)) 2) (cbrt.f64 (/.f64 2/9 t)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 2/9 t)) (sqrt.f64 (/.f64 2/9 t)) 1/6))))) |
| 1× | egg-herbie |
| 2× | fma-def_binary64 |
| 1× | +-commutative_binary64 |
| 1× | *-commutative_binary64 |
| 1× | associate-*r/_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 69 |
| 1 | 14 | 69 |
| 2 | 17 | 69 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 2/9 t) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
1/6 |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
1/6 |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
| Outputs |
|---|
(/.f64 2/9 t) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (/.f64 2/9 t)) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (/.f64 2/9 t)) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (/.f64 2/9 t)) |
1/6 |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (/.f64 2/9 t)) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (/.f64 2/9 t)) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (/.f64 2/9 t)) |
1/6 |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (/.f64 2/9 t)) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (/.f64 2/9 t)) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (/.f64 2/9 t)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 6 (/.f64 -8 t)) |
| ✓ | 0.1b | (/.f64 1 (+.f64 6 (/.f64 -8 t))) |
Compiled 29 to 24 computations (17.2% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | t | @ | inf | (/.f64 1 (+.f64 6 (/.f64 -8 t))) |
| 1.0ms | t | @ | 0 | (/.f64 1 (+.f64 6 (/.f64 -8 t))) |
| 1.0ms | t | @ | -inf | (/.f64 1 (+.f64 6 (/.f64 -8 t))) |
| 1.0ms | t | @ | inf | (+.f64 6 (/.f64 -8 t)) |
| 1.0ms | t | @ | 0 | (+.f64 6 (/.f64 -8 t)) |
| 1× | batch-egg-rewrite |
| 857× | pow1_binary64 |
| 810× | add-log-exp_binary64 |
| 810× | log1p-expm1-u_binary64 |
| 810× | expm1-log1p-u_binary64 |
| 797× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 178 | 17 |
| 2 | 2182 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (+.f64 6 (/.f64 -8 t))) |
(+.f64 6 (/.f64 -8 t)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (+.f64 6 (/.f64 -8 t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 6 (/.f64 -8 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 6 (/.f64 -8 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 6 (/.f64 -8 t)))) (cbrt.f64 (pow.f64 (+.f64 6 (/.f64 -8 t)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 6 (/.f64 -8 t)) -2)) (/.f64 1 (cbrt.f64 (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 6 (/.f64 -8 t)) -1/2) (pow.f64 (+.f64 6 (/.f64 -8 t)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 (neg.f64 (/.f64 -8 t)) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 6 (/.f64 -8 t))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 6 (/.f64 -8 t))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 6 (/.f64 -8 t))) -1) (pow.f64 (sqrt.f64 (+.f64 6 (/.f64 -8 t))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 216 (/.f64 -512 (pow.f64 t 3)))) (+.f64 36 (-.f64 (/.f64 64 (*.f64 t t)) (/.f64 -48 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 36 (/.f64 64 (*.f64 t t)))) (-.f64 6 (/.f64 -8 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 6 (/.f64 -8 t)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 6 (/.f64 -8 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 6 (/.f64 -8 t))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 6 (/.f64 -8 t)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 6 (/.f64 -8 t)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 6 (/.f64 -8 t)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 6 (/.f64 -8 t))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 6 (/.f64 -8 t))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 6 (/.f64 -8 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 36 (-.f64 6 (/.f64 -8 t))) (/.f64 (/.f64 64 (*.f64 t t)) (-.f64 6 (/.f64 -8 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 6 (/.f64 -8 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 6 (/.f64 -8 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 6 (/.f64 -8 t))) (pow.f64 (cbrt.f64 (+.f64 6 (/.f64 -8 t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 6 (/.f64 -8 t))) 2) (cbrt.f64 (+.f64 6 (/.f64 -8 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 6 (/.f64 -8 t))) (sqrt.f64 (+.f64 6 (/.f64 -8 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 216 (/.f64 -512 (pow.f64 t 3))) (/.f64 1 (+.f64 36 (-.f64 (/.f64 64 (*.f64 t t)) (/.f64 -48 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 36 (/.f64 64 (*.f64 t t))) (/.f64 1 (-.f64 6 (/.f64 -8 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 6 (/.f64 -8 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 36 (-.f64 (/.f64 64 (*.f64 t t)) (/.f64 -48 t))) (+.f64 216 (/.f64 -512 (pow.f64 t 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 6 (/.f64 -8 t)) (-.f64 36 (/.f64 64 (*.f64 t t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 6 (/.f64 -8 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 6 (/.f64 -8 t))) 2) (/.f64 1 (cbrt.f64 (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 6 (/.f64 -8 t))) (pow.f64 (+.f64 6 (/.f64 -8 t)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (/.f64 -8 t)) -6) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 216 (/.f64 -512 (pow.f64 t 3))) (+.f64 36 (-.f64 (/.f64 64 (*.f64 t t)) (/.f64 -48 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 216 (/.f64 -512 (pow.f64 t 3))) (+.f64 (/.f64 64 (*.f64 t t)) (-.f64 36 (/.f64 -48 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 36 (/.f64 64 (*.f64 t t))) (-.f64 6 (/.f64 -8 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 216 (/.f64 -512 (pow.f64 t 3)))) (neg.f64 (+.f64 36 (-.f64 (/.f64 64 (*.f64 t t)) (/.f64 -48 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 36 (/.f64 64 (*.f64 t t)))) (neg.f64 (-.f64 6 (/.f64 -8 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 64 (*.f64 t t)) 36) (-.f64 (/.f64 -8 t) 6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 6 (/.f64 -8 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 6 (/.f64 -8 t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 6 (/.f64 -8 t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 6 (/.f64 -8 t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 6 (/.f64 -8 t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 6 (/.f64 -8 t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 6 (/.f64 -8 t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 6 (/.f64 -8 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 6 (/.f64 -8 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 6 (/.f64 -8 t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -8 t) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -8 (/.f64 1 t) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -8 t)) 2) (cbrt.f64 (/.f64 -8 t)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -8 t)) (sqrt.f64 (/.f64 -8 t)) 6))))) |
| 1× | egg-herbie |
| 805× | unswap-sqr_binary64 |
| 656× | associate-/l*_binary64 |
| 571× | distribute-lft-out_binary64 |
| 389× | associate-/r/_binary64 |
| 342× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 225 |
| 1 | 98 | 225 |
| 2 | 220 | 222 |
| 3 | 567 | 214 |
| 4 | 1745 | 214 |
| 5 | 3929 | 214 |
| 6 | 7254 | 214 |
| 7 | 7744 | 214 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/8 t) |
(+.f64 (*.f64 -3/32 (pow.f64 t 2)) (*.f64 -1/8 t)) |
(+.f64 (*.f64 -3/32 (pow.f64 t 2)) (+.f64 (*.f64 -9/128 (pow.f64 t 3)) (*.f64 -1/8 t))) |
(+.f64 (*.f64 -27/512 (pow.f64 t 4)) (+.f64 (*.f64 -3/32 (pow.f64 t 2)) (+.f64 (*.f64 -9/128 (pow.f64 t 3)) (*.f64 -1/8 t)))) |
1/6 |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (+.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 8/27 (/.f64 1 (pow.f64 t 2))))) |
(+.f64 (*.f64 32/81 (/.f64 1 (pow.f64 t 3))) (+.f64 1/6 (+.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 8/27 (/.f64 1 (pow.f64 t 2)))))) |
1/6 |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (+.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 8/27 (/.f64 1 (pow.f64 t 2))))) |
(+.f64 (*.f64 32/81 (/.f64 1 (pow.f64 t 3))) (+.f64 1/6 (+.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 8/27 (/.f64 1 (pow.f64 t 2)))))) |
(/.f64 -8 t) |
(-.f64 6 (*.f64 8 (/.f64 1 t))) |
(-.f64 6 (*.f64 8 (/.f64 1 t))) |
(-.f64 6 (*.f64 8 (/.f64 1 t))) |
6 |
(-.f64 6 (*.f64 8 (/.f64 1 t))) |
(-.f64 6 (*.f64 8 (/.f64 1 t))) |
(-.f64 6 (*.f64 8 (/.f64 1 t))) |
6 |
(-.f64 6 (*.f64 8 (/.f64 1 t))) |
(-.f64 6 (*.f64 8 (/.f64 1 t))) |
(-.f64 6 (*.f64 8 (/.f64 1 t))) |
| Outputs |
|---|
(*.f64 -1/8 t) |
(+.f64 (*.f64 -3/32 (pow.f64 t 2)) (*.f64 -1/8 t)) |
(fma.f64 -3/32 (*.f64 t t) (*.f64 -1/8 t)) |
(fma.f64 -1/8 t (*.f64 t (*.f64 t -3/32))) |
(*.f64 t (+.f64 -1/8 (*.f64 t -3/32))) |
(*.f64 t (fma.f64 t -3/32 -1/8)) |
(+.f64 (*.f64 -3/32 (pow.f64 t 2)) (+.f64 (*.f64 -9/128 (pow.f64 t 3)) (*.f64 -1/8 t))) |
(fma.f64 -3/32 (*.f64 t t) (fma.f64 -9/128 (pow.f64 t 3) (*.f64 -1/8 t))) |
(fma.f64 -3/32 (*.f64 t t) (fma.f64 -1/8 t (*.f64 -9/128 (pow.f64 t 3)))) |
(fma.f64 -1/8 t (*.f64 (*.f64 t t) (+.f64 -3/32 (*.f64 t -9/128)))) |
(*.f64 t (+.f64 -1/8 (*.f64 t (fma.f64 t -9/128 -3/32)))) |
(+.f64 (*.f64 -27/512 (pow.f64 t 4)) (+.f64 (*.f64 -3/32 (pow.f64 t 2)) (+.f64 (*.f64 -9/128 (pow.f64 t 3)) (*.f64 -1/8 t)))) |
(fma.f64 -27/512 (pow.f64 t 4) (fma.f64 -3/32 (*.f64 t t) (fma.f64 -9/128 (pow.f64 t 3) (*.f64 -1/8 t)))) |
(fma.f64 -27/512 (pow.f64 t 4) (fma.f64 -3/32 (*.f64 t t) (fma.f64 -1/8 t (*.f64 -9/128 (pow.f64 t 3))))) |
(fma.f64 -27/512 (pow.f64 t 4) (fma.f64 -1/8 t (*.f64 (*.f64 t t) (+.f64 -3/32 (*.f64 t -9/128))))) |
(fma.f64 t (fma.f64 t -3/32 -1/8) (*.f64 (pow.f64 t 3) (+.f64 (*.f64 t -27/512) -9/128))) |
(fma.f64 t (fma.f64 t -3/32 -1/8) (*.f64 (pow.f64 t 3) (+.f64 -9/128 (*.f64 t -27/512)))) |
1/6 |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (/.f64 2/9 t)) |
(+.f64 1/6 (+.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 8/27 (/.f64 1 (pow.f64 t 2))))) |
(+.f64 1/6 (+.f64 (/.f64 2/9 t) (/.f64 8/27 (*.f64 t t)))) |
(+.f64 (*.f64 32/81 (/.f64 1 (pow.f64 t 3))) (+.f64 1/6 (+.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 8/27 (/.f64 1 (pow.f64 t 2)))))) |
(+.f64 (+.f64 1/6 (+.f64 (/.f64 2/9 t) (/.f64 8/27 (*.f64 t t)))) (/.f64 32/81 (pow.f64 t 3))) |
(+.f64 1/6 (+.f64 (+.f64 (/.f64 2/9 t) (/.f64 8/27 (*.f64 t t))) (/.f64 32/81 (pow.f64 t 3)))) |
(+.f64 1/6 (+.f64 (/.f64 2/9 t) (+.f64 (/.f64 8/27 (*.f64 t t)) (/.f64 32/81 (pow.f64 t 3))))) |
1/6 |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (/.f64 2/9 t)) |
(+.f64 1/6 (+.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 8/27 (/.f64 1 (pow.f64 t 2))))) |
(+.f64 1/6 (+.f64 (/.f64 2/9 t) (/.f64 8/27 (*.f64 t t)))) |
(+.f64 (*.f64 32/81 (/.f64 1 (pow.f64 t 3))) (+.f64 1/6 (+.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 8/27 (/.f64 1 (pow.f64 t 2)))))) |
(+.f64 (+.f64 1/6 (+.f64 (/.f64 2/9 t) (/.f64 8/27 (*.f64 t t)))) (/.f64 32/81 (pow.f64 t 3))) |
(+.f64 1/6 (+.f64 (+.f64 (/.f64 2/9 t) (/.f64 8/27 (*.f64 t t))) (/.f64 32/81 (pow.f64 t 3)))) |
(+.f64 1/6 (+.f64 (/.f64 2/9 t) (+.f64 (/.f64 8/27 (*.f64 t t)) (/.f64 32/81 (pow.f64 t 3))))) |
(/.f64 -8 t) |
(-.f64 6 (*.f64 8 (/.f64 1 t))) |
(-.f64 6 (/.f64 8 t)) |
(+.f64 6 (/.f64 -8 t)) |
(-.f64 6 (*.f64 8 (/.f64 1 t))) |
(-.f64 6 (/.f64 8 t)) |
(+.f64 6 (/.f64 -8 t)) |
(-.f64 6 (*.f64 8 (/.f64 1 t))) |
(-.f64 6 (/.f64 8 t)) |
(+.f64 6 (/.f64 -8 t)) |
6 |
(-.f64 6 (*.f64 8 (/.f64 1 t))) |
(-.f64 6 (/.f64 8 t)) |
(+.f64 6 (/.f64 -8 t)) |
(-.f64 6 (*.f64 8 (/.f64 1 t))) |
(-.f64 6 (/.f64 8 t)) |
(+.f64 6 (/.f64 -8 t)) |
(-.f64 6 (*.f64 8 (/.f64 1 t))) |
(-.f64 6 (/.f64 8 t)) |
(+.f64 6 (/.f64 -8 t)) |
6 |
(-.f64 6 (*.f64 8 (/.f64 1 t))) |
(-.f64 6 (/.f64 8 t)) |
(+.f64 6 (/.f64 -8 t)) |
(-.f64 6 (*.f64 8 (/.f64 1 t))) |
(-.f64 6 (/.f64 8 t)) |
(+.f64 6 (/.f64 -8 t)) |
(-.f64 6 (*.f64 8 (/.f64 1 t))) |
(-.f64 6 (/.f64 8 t)) |
(+.f64 6 (/.f64 -8 t)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 t (+.f64 4 (*.f64 t -8))) |
| ✓ | 0.0b | (/.f64 1 (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8)))))) |
| ✓ | 0.0b | (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8)))) |
Compiled 69 to 52 computations (24.6% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | 0 | (*.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)))) |
| 1.0ms | t | @ | inf | (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8)))) |
| 1.0ms | t | @ | -inf | (*.f64 t (+.f64 4 (*.f64 t -8))) |
| 1× | batch-egg-rewrite |
| 578× | log-prod_binary64 |
| 428× | prod-diff_binary64 |
| 316× | pow2_binary64 |
| 272× | fma-def_binary64 |
| 219× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 42 |
| 1 | 266 | 34 |
| 2 | 3434 | 34 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8)))) |
(/.f64 1 (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8)))))) |
(*.f64 t (+.f64 4 (*.f64 t -8))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 t -8 4) (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 t 4) t) (*.f64 (*.f64 -8 (*.f64 t t)) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 4 (*.f64 t t)) (*.f64 (*.f64 t -8) (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 t -8) (*.f64 t t)) (*.f64 4 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 t (*.f64 t 4)) (*.f64 t (*.f64 -8 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 t t) 4) (*.f64 (*.f64 t t) (*.f64 t -8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 t t) (*.f64 t -8)) (*.f64 (*.f64 t t) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 t) (*.f64 t (fma.f64 t -8 4)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 t) (*.f64 t (fma.f64 t -8 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 t) (*.f64 t (fma.f64 t -8 4))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 t) (*.f64 t (fma.f64 t -8 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 t -8 4) (*.f64 t t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 t t) (fma.f64 (pow.f64 t 3) -512 64)) (fma.f64 (*.f64 t -8) (fma.f64 t -8 -4) 16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 t t) (-.f64 16 (*.f64 (*.f64 t t) 64))) (+.f64 4 (*.f64 8 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 t -8 4) (*.f64 t t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 t -8 4) (*.f64 t t)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 t -8 4) (*.f64 t t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (sqrt.f64 (fma.f64 t -8 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 t -8 4) (*.f64 t t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 t -8 4) (*.f64 t t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 t) (*.f64 t (fma.f64 t -8 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 t -8 4) (*.f64 t t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 t -8 4) (*.f64 t t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 t -8 4) (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 t -8 4) (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 t -8 4) (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 t -8 4) (*.f64 t t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 t (*.f64 t 4) (*.f64 t (*.f64 -8 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (*.f64 t t) (*.f64 (*.f64 t -8) (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 t -8) (*.f64 t t) (*.f64 4 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 t t) 4 (*.f64 (*.f64 t t) (*.f64 t -8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 t t) (*.f64 t -8) (*.f64 (*.f64 t t) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 t 4) t (*.f64 (*.f64 -8 (*.f64 t t)) t)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2))) (cbrt.f64 (pow.f64 (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2) -2)) (/.f64 1 (cbrt.f64 (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2) -1/2) (pow.f64 (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 8 (pow.f64 (*.f64 (fma.f64 t -8 4) (*.f64 t t)) 3))) (fma.f64 (*.f64 (fma.f64 t -8 4) (*.f64 t t)) (fma.f64 (fma.f64 t -8 4) (*.f64 t t) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 (fma.f64 t -8 4) (*.f64 t t)) 2))) (-.f64 2 (*.f64 (fma.f64 t -8 4) (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2)) -2) (/.f64 1 (cbrt.f64 (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 t (fma.f64 t -8 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 t 4) (*.f64 -8 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -8 (*.f64 t t)) (*.f64 t 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 t 4) 1) (*.f64 (*.f64 -8 (*.f64 t t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 t) (fma.f64 t -8 4))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 t) (fma.f64 t -8 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 t) (fma.f64 t -8 4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 t) (fma.f64 t -8 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 t (fma.f64 t -8 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 t 4) 3) (pow.f64 (*.f64 -8 (*.f64 t t)) 3)) (+.f64 (pow.f64 (*.f64 t 4) 2) (-.f64 (pow.f64 (*.f64 -8 (*.f64 t t)) 2) (*.f64 (*.f64 t 4) (*.f64 -8 (*.f64 t t))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 t 4) 2) (pow.f64 (*.f64 -8 (*.f64 t t)) 2)) (-.f64 (*.f64 t 4) (*.f64 -8 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 t 3) -512 64) t) (fma.f64 (*.f64 t -8) (fma.f64 t -8 -4) 16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 16 (*.f64 (*.f64 t t) 64)) t) (+.f64 4 (*.f64 8 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t (fma.f64 (pow.f64 t 3) -512 64)) (fma.f64 (*.f64 t -8) (fma.f64 t -8 -4) 16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t (-.f64 16 (*.f64 (*.f64 t t) 64))) (+.f64 4 (*.f64 8 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (fma.f64 t -8 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t (fma.f64 t -8 4)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t (fma.f64 t -8 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 t (fma.f64 t -8 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 t (fma.f64 t -8 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 t 3) (pow.f64 (fma.f64 t -8 4) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 t -8 4) 3) (pow.f64 t 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 t (fma.f64 t -8 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 t) (fma.f64 t -8 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 t (fma.f64 t -8 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 -8 (*.f64 t t))) (exp.f64 (*.f64 t 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 t (fma.f64 t -8 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 t 3) (pow.f64 (fma.f64 t -8 4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 t -8 4) 3) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t (fma.f64 t -8 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t (fma.f64 t -8 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 t (fma.f64 t -8 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 t (fma.f64 t -8 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 t 4 (*.f64 -8 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 t (*.f64 t -8) (*.f64 t 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 t (*.f64 -8 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -8 (*.f64 t t) (*.f64 t 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 t -8) t (*.f64 t 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 t 4) (*.f64 -8 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -8 (*.f64 t t)) (*.f64 t 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 t t) -8 (*.f64 t 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 t t) 64)) (*.f64 (cbrt.f64 (*.f64 t -8)) t) (*.f64 t 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 t) 2) (*.f64 (cbrt.f64 t) 4) (*.f64 -8 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 t) 2) (*.f64 (cbrt.f64 t) (*.f64 t -8)) (*.f64 t 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 t -8)) (*.f64 (sqrt.f64 (*.f64 t -8)) t) (*.f64 t 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 t) (*.f64 (sqrt.f64 t) 4) (*.f64 -8 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 t) (*.f64 (sqrt.f64 t) (*.f64 t -8)) (*.f64 t 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 t 4) 1 (*.f64 (*.f64 -8 (*.f64 t t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 t 4)) 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 t (cbrt.f64 (*.f64 (*.f64 t t) 64))) (cbrt.f64 (*.f64 t -8)) (*.f64 t 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 t (sqrt.f64 (*.f64 t -8))) (sqrt.f64 (*.f64 t -8)) (*.f64 t 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 t -8) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t) (*.f64 t 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 t -8) (sqrt.f64 t)) (sqrt.f64 t) (*.f64 t 4)))))) |
| 1× | egg-herbie |
| 512× | fma-def_binary64 |
| 497× | associate-/r*_binary64 |
| 492× | unswap-sqr_binary64 |
| 480× | distribute-neg-frac_binary64 |
| 320× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 489 |
| 1 | 139 | 470 |
| 2 | 394 | 452 |
| 3 | 1329 | 413 |
| 4 | 5146 | 413 |
| 1× | node limit |
| Inputs |
|---|
(*.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))) |
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 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))) |
| Outputs |
|---|
(*.f64 4 (pow.f64 t 2)) |
(*.f64 4 (*.f64 t t)) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))) |
(fma.f64 -8 (pow.f64 t 3) (*.f64 4 (*.f64 t t))) |
(fma.f64 4 (*.f64 t t) (*.f64 -8 (pow.f64 t 3))) |
(*.f64 (*.f64 t 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 4 (*.f64 t t))) |
(fma.f64 4 (*.f64 t t) (*.f64 -8 (pow.f64 t 3))) |
(*.f64 (*.f64 t 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 4 (*.f64 t t))) |
(fma.f64 4 (*.f64 t t) (*.f64 -8 (pow.f64 t 3))) |
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))) |
(*.f64 t (*.f64 t (fma.f64 t -8 4))) |
(*.f64 -8 (pow.f64 t 3)) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))) |
(fma.f64 -8 (pow.f64 t 3) (*.f64 4 (*.f64 t t))) |
(fma.f64 4 (*.f64 t t) (*.f64 -8 (pow.f64 t 3))) |
(*.f64 (*.f64 t 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 4 (*.f64 t t))) |
(fma.f64 4 (*.f64 t t) (*.f64 -8 (pow.f64 t 3))) |
(*.f64 (*.f64 t 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 4 (*.f64 t t))) |
(fma.f64 4 (*.f64 t t) (*.f64 -8 (pow.f64 t 3))) |
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))) |
(*.f64 t (*.f64 t (fma.f64 t -8 4))) |
(*.f64 -8 (pow.f64 t 3)) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))) |
(fma.f64 -8 (pow.f64 t 3) (*.f64 4 (*.f64 t t))) |
(fma.f64 4 (*.f64 t t) (*.f64 -8 (pow.f64 t 3))) |
(*.f64 (*.f64 t 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 4 (*.f64 t t))) |
(fma.f64 4 (*.f64 t t) (*.f64 -8 (pow.f64 t 3))) |
(*.f64 (*.f64 t 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 4 (*.f64 t t))) |
(fma.f64 4 (*.f64 t t) (*.f64 -8 (pow.f64 t 3))) |
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))) |
(*.f64 t (*.f64 t (fma.f64 t -8 4))) |
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)) |
(fma.f64 t (neg.f64 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 (*.f64 t 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 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 -1/8 (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))) |
(+.f64 (/.f64 -1/8 (pow.f64 t 3)) (+.f64 (/.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 (/.f64 -1/16 (pow.f64 t 4)) (/.f64 -1/32 (pow.f64 t 5)))) (/.f64 -3/64 (pow.f64 t 6))) |
(/.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 -1/8 (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))) |
(+.f64 (/.f64 -1/8 (pow.f64 t 3)) (+.f64 (/.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 (/.f64 -1/16 (pow.f64 t 4)) (/.f64 -1/32 (pow.f64 t 5)))) (/.f64 -3/64 (pow.f64 t 6))) |
(*.f64 4 t) |
(+.f64 (*.f64 -8 (pow.f64 t 2)) (*.f64 4 t)) |
(fma.f64 4 t (*.f64 (*.f64 t 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)) |
(*.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)) |
(*.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)) |
(*.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)) |
(*.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)) |
(*.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)) |
(*.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)) |
(*.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)) |
(*.f64 t (+.f64 4 (*.f64 t -8))) |
(*.f64 t (fma.f64 t -8 4)) |
Compiled 9153 to 7036 computations (23.1% saved)
11 alts after pruning (5 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 477 | 2 | 479 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 477 | 11 | 488 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))) |
| ✓ | 30.9b | (-.f64 1 (+.f64 1/6 (/.f64 2/9 t))) |
| ▶ | 31.4b | (-.f64 1 (-.f64 (+.f64 1 (+.f64 (/.f64 2/9 t) 1/6)) 1)) |
| ✓ | 26.0b | (-.f64 1 (/.f64 1 (+.f64 6 (/.f64 -8 t)))) |
| ✓ | 25.6b | (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12)))))))) |
| ▶ | 31.8b | (-.f64 1 (-.f64 1/2 (*.f64 t t))) |
| ▶ | 26.2b | (-.f64 1 1/2) |
| ▶ | 30.9b | (-.f64 1 (+.f64 1/6 (-.f64 (+.f64 1 (/.f64 2/9 t)) 1))) |
| ▶ | 31.0b | (-.f64 1 (+.f64 (/.f64 2/9 t) (+.f64 1/6 (/.f64 (/.f64 -1/27 t) t)))) |
| ✓ | 26.0b | (-.f64 1 1/6) |
| ✓ | 25.6b | (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))) |
Compiled 176 to 151 computations (14.2% saved)
Compiled 6 to 6 computations (0% saved)
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 | |
|---|---|---|---|---|
| 2.0ms | t | @ | 0 | (-.f64 1 (-.f64 1/2 (*.f64 t t))) |
| 1.0ms | t | @ | inf | (-.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 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 1/6 (-.f64 (+.f64 1 (/.f64 2/9 t)) 1)) |
| 0.3b | (/.f64 2/9 t) | |
| ✓ | 2.0b | (-.f64 (+.f64 1 (/.f64 2/9 t)) 1) |
Compiled 40 to 34 computations (15% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | 0 | (-.f64 (+.f64 1 (/.f64 2/9 t)) 1) |
| 0.0ms | t | @ | 0 | (+.f64 1/6 (-.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 1/6 (-.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 1/6 (-.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 *.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 2/9 t)))) (/.f64 1 (+.f64 (/.f64 2/9 t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 2/9 t)))) (pow.f64 (/.f64 1 (+.f64 (/.f64 2/9 t) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 2/9 t))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 2/9 t)))))))) (#(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 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 2/9 t))) 1) 1) (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 2/9 t)))) 1))))) (#(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 (cbrt.f64 (/.f64 2/9 t))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 2/9 t))) 3))))) (#(struct:change 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(/.f64 2/9 t)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (*.f64 t 9/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 2/9 t)))) (+.f64 (/.f64 2/9 t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 2/9 t))))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 2/9 t)) 2) (+.f64 (/.f64 2/9 t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 2/9 t))))) (neg.f64 (+.f64 (/.f64 2/9 t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 2/9 t) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 2/9 t) -1) 2) (+.f64 (/.f64 2/9 t) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 2/9 t) -1) 2)) (-.f64 1 (+.f64 (/.f64 2/9 t) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2/9 (sqrt.f64 t)) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2/9 (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 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 9/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 t 9/2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 2/9 t)) 2) (+.f64 (/.f64 2/9 t) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 2/9 t))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 2/9 t) 2) (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 2/9 t))))) -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 hypot.f64 (sqrt.f64 (/.f64 2/9 t)) (sqrt.f64 (-.f64 (/.f64 4/81 (*.f64 t t)) (/.f64 2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (/.f64 2/9 t)) 1))))) (#(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 fma.f64 1 (/.f64 2/9 t) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 2/9 t)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 2/9 t) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/9 (/.f64 1 t) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2/9 t) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 2/9 t)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 2/9 t)) (cbrt.f64 (/.f64 4/81 (*.f64 t t))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4/81 (*.f64 t t))) (cbrt.f64 (/.f64 2/9 t)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 (/.f64 2/9 t))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 2/9 t))) 2) -1)))) (#(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)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 2/9 t))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 2/9 t))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 2/9 t)) (sqrt.f64 (/.f64 2/9 t)) 0)))) (#(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)))) (#(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)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2/9 (/.f64 1 (neg.f64 t)) 0)))) (#(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))) 0)))) (#(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)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 t) 2/9 0)))) (#(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)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (/.f64 4/81 (*.f64 t t))) (/.f64 1 (-.f64 1 (/.f64 2/9 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 2/9 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 7/6 (/.f64 2/9 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 2/9 t) 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/36 (-.f64 1/6 (/.f64 2/9 t))) (/.f64 (/.f64 4/81 (*.f64 t t)) (-.f64 1/6 (/.f64 2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 2/9 t) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 2/9 t) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 2/9 t) 1/6)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2/9 t) 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2/9 t) 1/6)) 2) (cbrt.f64 (+.f64 (/.f64 2/9 t) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 2/9 t) 1/6)) (sqrt.f64 (+.f64 (/.f64 2/9 t) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x 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(/.f64 2/9 t) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (/.f64 2/9 t) 1/6) 2) (sqrt.f64 (+.f64 (/.f64 2/9 t) 1/6))) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 2/9 t) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 2/9 t) 1/6))) 2) 3) (cbrt.f64 (+.f64 (/.f64 2/9 t) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 2/9 t) 1/6))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 2/9 t) 1/6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 2/9 t) (-.f64 (/.f64 2/9 t) 1/6) 1/36) (+.f64 1/216 (/.f64 8/729 (pow.f64 t 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1/6 (/.f64 2/9 t)) (-.f64 1/36 (/.f64 4/81 (*.f64 t t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/216 (/.f64 8/729 (pow.f64 t 3))) (fma.f64 (/.f64 2/9 t) (-.f64 (/.f64 2/9 t) 1/6) 1/36))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 2/9 t) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 2/9 t) 1/6) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 2/9 t) 1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 2/9 t) 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 2/9 t) 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 2/9 t) (-.f64 (/.f64 2/9 t) 1/6) 1/36) (+.f64 1/216 (/.f64 8/729 (pow.f64 t 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1/6 (/.f64 2/9 t)) (-.f64 1/36 (/.f64 4/81 (*.f64 t t)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 2/9 t) 1/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 2/9 t) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2/9 t) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 2/9 t) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 2/9 t) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 7/6 (/.f64 2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 2/9 t) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 2/9 t) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 2/9 t) 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 2/9 t) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 2/9 t)) -5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 7/6 (/.f64 2/9 t)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/9 (/.f64 1 t) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2/9 t) 1 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 2/9 t)) 1 -5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 2/9 t)) (cbrt.f64 (/.f64 4/81 (*.f64 t t))) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4/81 (*.f64 t t))) (cbrt.f64 (/.f64 2/9 t)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 (/.f64 2/9 t))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 2/9 t))) 2) -5/6)))) (#(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))) -5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 2/9 t))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 2/9 t))) 1) -5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 2/9 t)) (sqrt.f64 (/.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))) -5/6)))) (#(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) -5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2/9 (/.f64 1 (neg.f64 t)) 1/6)))) (#(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))) 1/6)))) (#(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)) -5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 t) 2/9 1/6)))) (#(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)) 1/6)))) (#(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))) -5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 7/6 (/.f64 2/9 t))) 2) (cbrt.f64 (+.f64 7/6 (/.f64 2/9 t))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 7/6 (/.f64 2/9 t))) (sqrt.f64 (+.f64 7/6 (/.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)))) 1/6))))) |
| 1× | egg-herbie |
| 2× | fma-def_binary64 |
| 1× | +-commutative_binary64 |
| 1× | *-commutative_binary64 |
| 1× | associate-*r/_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 117 |
| 1 | 14 | 117 |
| 2 | 17 | 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 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
1/6 |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
1/6 |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (*.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 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (/.f64 2/9 t)) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (/.f64 2/9 t)) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (/.f64 2/9 t)) |
1/6 |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (/.f64 2/9 t)) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (/.f64 2/9 t)) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (/.f64 2/9 t)) |
1/6 |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (/.f64 2/9 t)) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (/.f64 2/9 t)) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (/.f64 2/9 t)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 1 (+.f64 (/.f64 2/9 t) 1/6)) |
| ✓ | 0.0b | (+.f64 (/.f64 2/9 t) 1/6) |
| 0.3b | (/.f64 2/9 t) | |
| ✓ | 1.0b | (-.f64 (+.f64 1 (+.f64 (/.f64 2/9 t) 1/6)) 1) |
Compiled 40 to 34 computations (15% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | t | @ | 0 | (-.f64 (+.f64 1 (+.f64 (/.f64 2/9 t) 1/6)) 1) |
| 0.0ms | t | @ | inf | (-.f64 (+.f64 1 (+.f64 (/.f64 2/9 t) 1/6)) 1) |
| 0.0ms | t | @ | -inf | (-.f64 (+.f64 1 (+.f64 (/.f64 2/9 t) 1/6)) 1) |
| 0.0ms | t | @ | 0 | (+.f64 1 (+.f64 (/.f64 2/9 t) 1/6)) |
| 0.0ms | t | @ | 0 | (+.f64 (/.f64 2/9 t) 1/6) |
| 1× | batch-egg-rewrite |
| 570× | unpow-prod-down_binary64 |
| 487× | prod-diff_binary64 |
| 368× | log-prod_binary64 |
| 368× | fma-def_binary64 |
| 244× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 36 |
| 1 | 216 | 21 |
| 2 | 3014 | 21 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (+.f64 (/.f64 2/9 t) 1/6)) 1) |
(+.f64 (/.f64 2/9 t) 1/6) |
(+.f64 1 (+.f64 (/.f64 2/9 t) 1/6)) |
| Outputs |
|---|
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5/6 (/.f64 2/9 t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (+.f64 (/.f64 2/9 t) 7/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 2/9 t) 7/6))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 2/9 t) 7/6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 2/9 t) 7/6))) 2) 3) (cbrt.f64 (+.f64 (/.f64 2/9 t) 7/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 2/9 t) 7/6) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 2/9 t) 7/6) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 2/9 t) 7/6) 3/2) 1/3) (pow.f64 (pow.f64 (+.f64 (/.f64 2/9 t) 7/6) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (/.f64 2/9 t) 7/6) 2) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2/9 t) 7/6)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 2/9 t) 7/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (/.f64 2/9 t) 7/6) 2) (sqrt.f64 (+.f64 (/.f64 2/9 t) 7/6))) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 2/9 t) 7/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (+.f64 (/.f64 2/9 t) 1/6) (+.f64 (/.f64 2/9 t) -5/6) 1) (+.f64 1 (pow.f64 (+.f64 (/.f64 2/9 t) 1/6) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 5/6 (/.f64 2/9 t)) (-.f64 1 (pow.f64 (+.f64 (/.f64 2/9 t) 1/6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 2/9 t) 1/6) 3)) (fma.f64 (+.f64 (/.f64 2/9 t) 1/6) (+.f64 (/.f64 2/9 t) -5/6) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 2/9 t) 1/6) 3)) (+.f64 (pow.f64 (+.f64 (/.f64 2/9 t) 1/6) 2) (-.f64 5/6 (/.f64 2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 2/9 t) 1/6) 2)) (-.f64 5/6 (/.f64 2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x 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2/9 t) 1/6) 2)) 1) (-.f64 5/6 (/.f64 2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 2/9 t) 7/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 2/9 t) 7/6) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 2/9 t) 7/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 2/9 t) 7/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 2/9 t) 7/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (+.f64 (/.f64 2/9 t) 1/6) (+.f64 (/.f64 2/9 t) -5/6) 1) (+.f64 1 (pow.f64 (+.f64 (/.f64 2/9 t) 1/6) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 5/6 (/.f64 2/9 t)) (-.f64 1 (pow.f64 (+.f64 (/.f64 2/9 t) 1/6) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 2/9 t) 7/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 2/9 t) 7/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2/9 t) 7/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 2/9 t) 7/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 2/9 t) 7/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 2/9 t) 7/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (+.f64 (/.f64 2/9 t) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (+.f64 (/.f64 2/9 t) 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 2/9 t) 7/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 2/9 t) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (+.f64 (/.f64 2/9 t) 7/6)) -1)))) (#(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 2/9 (/.f64 1 t) 7/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2/9 t) 1 7/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 2/9 t) 1/6) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 2/9 t)) (cbrt.f64 (/.f64 4/81 (*.f64 t t))) 7/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4/81 (*.f64 t t))) (cbrt.f64 (/.f64 2/9 t)) 7/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 (/.f64 2/9 t) 1/6)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2/9 t) 1/6)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2/9 t) 1/6)) 2) (cbrt.f64 (+.f64 (/.f64 2/9 t) 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 2/9 t)) (sqrt.f64 (/.f64 2/9 t)) 7/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 2/9 t) 1/6)) (sqrt.f64 (+.f64 (/.f64 2/9 t) 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2/9 (/.f64 1 (neg.f64 t)) 7/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (+.f64 (/.f64 2/9 t) 7/6) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (/.f64 2/9 t) 7/6) 2) (+.f64 1 (+.f64 (/.f64 2/9 t) 7/6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1/216 (/.f64 8/729 (pow.f64 t 3))) (/.f64 1 (+.f64 (/.f64 4/81 (*.f64 t t)) (-.f64 1/36 (/.f64 1/27 t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 t) 2/9 7/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (+.f64 (/.f64 2/9 t) 7/6) 2) -1) (/.f64 1 (+.f64 1 (+.f64 (/.f64 2/9 t) 7/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (+.f64 (/.f64 2/9 t) 7/6)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 4/81 (*.f64 t t)) -1/36) (/.f64 1 (+.f64 (/.f64 2/9 t) -1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 2/9 t)) 1 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 (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 2/9 t) 7/6))) 2) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 2/9 t) 7/6))) -1)))) (#(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)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (+.f64 (/.f64 2/9 t) 7/6))) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 2/9 t) 7/6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 2/9 t) 7/6)) 1) (-.f64 (sqrt.f64 (+.f64 (/.f64 2/9 t) 7/6)) 1) 1))))) |
| 1× | egg-herbie |
| 4× | fma-def_binary64 |
| 2× | +-commutative_binary64 |
| 1× | *-commutative_binary64 |
| 1× | associate-*r/_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 207 |
| 1 | 17 | 207 |
| 2 | 22 | 207 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 2/9 t) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
1/6 |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
1/6 |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(/.f64 2/9 t) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
1/6 |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
1/6 |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(/.f64 2/9 t) |
(+.f64 7/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 7/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 7/6 (*.f64 2/9 (/.f64 1 t))) |
7/6 |
(+.f64 7/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 7/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 7/6 (*.f64 2/9 (/.f64 1 t))) |
7/6 |
(+.f64 7/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 7/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 7/6 (*.f64 2/9 (/.f64 1 t))) |
| Outputs |
|---|
(/.f64 2/9 t) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (/.f64 2/9 t)) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (/.f64 2/9 t)) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (/.f64 2/9 t)) |
1/6 |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (/.f64 2/9 t)) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (/.f64 2/9 t)) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (/.f64 2/9 t)) |
1/6 |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (/.f64 2/9 t)) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (/.f64 2/9 t)) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (/.f64 2/9 t)) |
(/.f64 2/9 t) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (/.f64 2/9 t)) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (/.f64 2/9 t)) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (/.f64 2/9 t)) |
1/6 |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (/.f64 2/9 t)) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (/.f64 2/9 t)) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (/.f64 2/9 t)) |
1/6 |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (/.f64 2/9 t)) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (/.f64 2/9 t)) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (/.f64 2/9 t)) |
(/.f64 2/9 t) |
(+.f64 7/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 (/.f64 2/9 t) 7/6) |
(+.f64 7/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 (/.f64 2/9 t) 7/6) |
(+.f64 7/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 (/.f64 2/9 t) 7/6) |
7/6 |
(+.f64 7/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 (/.f64 2/9 t) 7/6) |
(+.f64 7/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 (/.f64 2/9 t) 7/6) |
(+.f64 7/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 (/.f64 2/9 t) 7/6) |
7/6 |
(+.f64 7/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 (/.f64 2/9 t) 7/6) |
(+.f64 7/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 (/.f64 2/9 t) 7/6) |
(+.f64 7/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 (/.f64 2/9 t) 7/6) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (/.f64 2/9 t) (+.f64 1/6 (/.f64 (/.f64 -1/27 t) t))) |
| ✓ | 0.1b | (/.f64 (/.f64 -1/27 t) t) |
| 0.3b | (/.f64 2/9 t) | |
| ✓ | 0.4b | (/.f64 -1/27 t) |
Compiled 48 to 35 computations (27.1% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | 0 | (/.f64 -1/27 t) |
| 1.0ms | t | @ | 0 | (/.f64 (/.f64 -1/27 t) t) |
| 0.0ms | t | @ | inf | (/.f64 -1/27 t) |
| 0.0ms | t | @ | inf | (/.f64 (/.f64 -1/27 t) t) |
| 0.0ms | t | @ | -inf | (/.f64 -1/27 t) |
| 1× | batch-egg-rewrite |
| 524× | log-prod_binary64 |
| 396× | fma-def_binary64 |
| 356× | pow-prod-down_binary64 |
| 307× | pow2_binary64 |
| 252× | log-div_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 27 |
| 1 | 242 | 27 |
| 2 | 3510 | 25 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1/27 t) |
(/.f64 (/.f64 -1/27 t) t) |
(+.f64 (/.f64 2/9 t) (+.f64 1/6 (/.f64 (/.f64 -1/27 t) t))) |
| Outputs |
|---|
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(/.f64 2/9 t) 1/6)))))) |
| 1× | egg-herbie |
| 833× | fma-neg_binary64 |
| 751× | times-frac_binary64 |
| 520× | associate-/l/_binary64 |
| 434× | unswap-sqr_binary64 |
| 386× | distribute-neg-frac_binary64 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 216 |
| 1 | 39 | 216 |
| 2 | 73 | 216 |
| 3 | 149 | 216 |
| 4 | 359 | 216 |
| 5 | 1154 | 216 |
| 6 | 5092 | 204 |
| 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 -1/27 (pow.f64 t 2)) |
(-.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) |
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) |
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) |
1/6 |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) |
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) |
1/6 |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) |
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) |
| Outputs |
|---|
(/.f64 -1/27 (pow.f64 t 2)) |
(/.f64 -1/27 (*.f64 t t)) |
(/.f64 -1/27 (pow.f64 t 2)) |
(/.f64 -1/27 (*.f64 t t)) |
(/.f64 -1/27 (pow.f64 t 2)) |
(/.f64 -1/27 (*.f64 t t)) |
(/.f64 -1/27 (pow.f64 t 2)) |
(/.f64 -1/27 (*.f64 t t)) |
(/.f64 -1/27 (pow.f64 t 2)) |
(/.f64 -1/27 (*.f64 t t)) |
(/.f64 -1/27 (pow.f64 t 2)) |
(/.f64 -1/27 (*.f64 t t)) |
(/.f64 -1/27 (pow.f64 t 2)) |
(/.f64 -1/27 (*.f64 t t)) |
(/.f64 -1/27 (pow.f64 t 2)) |
(/.f64 -1/27 (*.f64 t t)) |
(/.f64 -1/27 (pow.f64 t 2)) |
(/.f64 -1/27 (*.f64 t t)) |
(/.f64 -1/27 (pow.f64 t 2)) |
(/.f64 -1/27 (*.f64 t t)) |
(/.f64 -1/27 (pow.f64 t 2)) |
(/.f64 -1/27 (*.f64 t t)) |
(/.f64 -1/27 (pow.f64 t 2)) |
(/.f64 -1/27 (*.f64 t t)) |
(/.f64 -1/27 (pow.f64 t 2)) |
(/.f64 -1/27 (*.f64 t t)) |
(-.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) |
(-.f64 (/.f64 2/9 t) (/.f64 1/27 (*.f64 t t))) |
(+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t t))) |
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) |
(+.f64 1/6 (-.f64 (/.f64 2/9 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 2/9 t) (+.f64 1/6 (/.f64 -1/27 (*.f64 t t)))) |
(-.f64 1/6 (*.f64 (/.f64 1 t) (+.f64 (/.f64 1/27 t) -2/9))) |
(fma.f64 (/.f64 1 t) (+.f64 2/9 (/.f64 -1/27 t)) 1/6) |
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) |
(+.f64 1/6 (-.f64 (/.f64 2/9 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 2/9 t) (+.f64 1/6 (/.f64 -1/27 (*.f64 t t)))) |
(-.f64 1/6 (*.f64 (/.f64 1 t) (+.f64 (/.f64 1/27 t) -2/9))) |
(fma.f64 (/.f64 1 t) (+.f64 2/9 (/.f64 -1/27 t)) 1/6) |
1/6 |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 (/.f64 2/9 t) 1/6) |
(-.f64 1/6 (/.f64 -2/9 t)) |
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) |
(+.f64 1/6 (-.f64 (/.f64 2/9 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 2/9 t) (+.f64 1/6 (/.f64 -1/27 (*.f64 t t)))) |
(-.f64 1/6 (*.f64 (/.f64 1 t) (+.f64 (/.f64 1/27 t) -2/9))) |
(fma.f64 (/.f64 1 t) (+.f64 2/9 (/.f64 -1/27 t)) 1/6) |
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) |
(+.f64 1/6 (-.f64 (/.f64 2/9 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 2/9 t) (+.f64 1/6 (/.f64 -1/27 (*.f64 t t)))) |
(-.f64 1/6 (*.f64 (/.f64 1 t) (+.f64 (/.f64 1/27 t) -2/9))) |
(fma.f64 (/.f64 1 t) (+.f64 2/9 (/.f64 -1/27 t)) 1/6) |
1/6 |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 (/.f64 2/9 t) 1/6) |
(-.f64 1/6 (/.f64 -2/9 t)) |
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) |
(+.f64 1/6 (-.f64 (/.f64 2/9 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 2/9 t) (+.f64 1/6 (/.f64 -1/27 (*.f64 t t)))) |
(-.f64 1/6 (*.f64 (/.f64 1 t) (+.f64 (/.f64 1/27 t) -2/9))) |
(fma.f64 (/.f64 1 t) (+.f64 2/9 (/.f64 -1/27 t)) 1/6) |
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) |
(+.f64 1/6 (-.f64 (/.f64 2/9 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 2/9 t) (+.f64 1/6 (/.f64 -1/27 (*.f64 t t)))) |
(-.f64 1/6 (*.f64 (/.f64 1 t) (+.f64 (/.f64 1/27 t) -2/9))) |
(fma.f64 (/.f64 1 t) (+.f64 2/9 (/.f64 -1/27 t)) 1/6) |
Compiled 10595 to 9006 computations (15% saved)
13 alts after pruning (4 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 620 | 4 | 624 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 8 | 10 |
| Total | 622 | 13 | 635 |
| Status | Error | Program |
|---|---|---|
| ▶ | 30.9b | (-.f64 1 (-.f64 (+.f64 1 (/.f64 2/9 t)) 5/6)) |
| ✓ | 31.8b | (-.f64 1 (-.f64 1/2 (*.f64 t t))) |
| ✓ | 0.0b | (+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))) |
| ✓ | 30.9b | (-.f64 1 (+.f64 1/6 (/.f64 2/9 t))) |
| 26.2b | 1/2 | |
| ✓ | 26.0b | (-.f64 1 1/6) |
| ▶ | 31.8b | (+.f64 (*.f64 t t) 1/2) |
| ✓ | 31.4b | (-.f64 1 (-.f64 (+.f64 1 (+.f64 (/.f64 2/9 t) 1/6)) 1)) |
| ▶ | 26.5b | (-.f64 1 (-.f64 7/6 1)) |
| ✓ | 26.0b | (-.f64 1 (/.f64 1 (+.f64 6 (/.f64 -8 t)))) |
| ✓ | 25.6b | (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12)))))))) |
| ✓ | 31.0b | (-.f64 1 (+.f64 (/.f64 2/9 t) (+.f64 1/6 (/.f64 (/.f64 -1/27 t) t)))) |
| ✓ | 25.6b | (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))) |
Compiled 134 to 114 computations (14.9% saved)
Compiled 11 to 5 computations (54.5% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 2.0b | (-.f64 7/6 1) |
Compiled 11 to 11 computations (0% saved)
| 1× | batch-egg-rewrite |
| 629× | prod-diff_binary64 |
| 414× | log1p-udef_binary64 |
| 256× | add-sqr-sqrt_binary64 |
| 251× | pow1_binary64 |
| 244× | *-un-lft-identity_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 1 |
| 1 | 76 | 1 |
| 2 | 655 | 1 |
| 3 | 6156 | 1 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 7/6 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x . 1/6))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (/.f64 2/9 t) | |
| ✓ | 0.5b | (-.f64 (+.f64 1 (/.f64 2/9 t)) 5/6) |
Compiled 29 to 24 computations (17.2% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | t | @ | 0 | (-.f64 (+.f64 1 (/.f64 2/9 t)) 5/6) |
| 0.0ms | t | @ | inf | (-.f64 (+.f64 1 (/.f64 2/9 t)) 5/6) |
| 0.0ms | t | @ | -inf | (-.f64 (+.f64 1 (/.f64 2/9 t)) 5/6) |
| 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)) 5/6) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 2/9 t) -5/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (/.f64 2/9 t) -5/6) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2/9 t) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 2/9 t)) -5/6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -5/6 (+.f64 1 (/.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) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 2/9 t) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 2/9 t) 1/6)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2/9 t) 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2/9 t) 1/6)) 2) (cbrt.f64 (+.f64 (/.f64 2/9 t) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 2/9 t) 1/6)) (sqrt.f64 (+.f64 (/.f64 2/9 t) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 2/9 t)) 3) -125/216) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 2/9 t)) 2) (+.f64 25/36 (*.f64 (+.f64 1 (/.f64 2/9 t)) 5/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 2/9 t)) 2) -25/36) (/.f64 1 (+.f64 (/.f64 2/9 t) 11/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 2/9 t)) 2) (+.f64 25/36 (*.f64 (+.f64 1 (/.f64 2/9 t)) 5/6))) (+.f64 (pow.f64 (+.f64 1 (/.f64 2/9 t)) 3) -125/216)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 2/9 t) 11/6) (+.f64 (pow.f64 (+.f64 1 (/.f64 2/9 t)) 2) -25/36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 2/9 t)) 3) -125/216) (+.f64 (pow.f64 (+.f64 1 (/.f64 2/9 t)) 2) (+.f64 25/36 (*.f64 (+.f64 1 (/.f64 2/9 t)) 5/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 2/9 t)) 3) -125/216) (+.f64 (pow.f64 (+.f64 1 (/.f64 2/9 t)) 2) (-.f64 25/36 (*.f64 (+.f64 1 (/.f64 2/9 t)) -5/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 2/9 t)) 2) -25/36) (+.f64 (/.f64 2/9 t) 11/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 2/9 t)) 2) -25/36) (-.f64 (+.f64 1 (/.f64 2/9 t)) -5/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 2/9 t)) 3) -125/216)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 2/9 t)) 2) (+.f64 25/36 (*.f64 (+.f64 1 (/.f64 2/9 t)) 5/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 2/9 t)) 2) -25/36)) (neg.f64 (+.f64 (/.f64 2/9 t) 11/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 2/9 t) -5/6) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (/.f64 2/9 t) -5/6) (+.f64 (/.f64 2/9 t) -5/6)) (+.f64 (/.f64 2/9 t) -5/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 2/9 t) -5/6) (+.f64 (/.f64 2/9 t) -5/6))) (-.f64 1 (+.f64 (/.f64 2/9 t) -5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 2/9 t) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 2/9 t) 1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 2/9 t) 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 2/9 t) 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 2/9 t) 1/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 2/9 t) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2/9 t) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 2/9 t) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 2/9 t) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 2/9 t) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 2/9 t) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 2/9 t)) -5/6)))) (#(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))) -5/6)))) (#(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))) -5/6))))) |
| 1× | egg-herbie |
| 2× | fma-def_binary64 |
| 1× | +-commutative_binary64 |
| 1× | *-commutative_binary64 |
| 1× | associate-*r/_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 69 |
| 1 | 14 | 69 |
| 2 | 17 | 69 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 2/9 t) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
1/6 |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
1/6 |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
| Outputs |
|---|
(/.f64 2/9 t) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (/.f64 2/9 t)) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (/.f64 2/9 t)) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (/.f64 2/9 t)) |
1/6 |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (/.f64 2/9 t)) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (/.f64 2/9 t)) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (/.f64 2/9 t)) |
1/6 |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (/.f64 2/9 t)) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (/.f64 2/9 t)) |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (/.f64 2/9 t)) |
Compiled 843 to 755 computations (10.4% saved)
13 alts after pruning (1 fresh and 12 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 62 | 0 | 62 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 11 | 11 |
| Total | 62 | 13 | 75 |
| Status | Error | Program |
|---|---|---|
| ✓ | 30.9b | (-.f64 1 (-.f64 (+.f64 1 (/.f64 2/9 t)) 5/6)) |
| ✓ | 31.8b | (-.f64 1 (-.f64 1/2 (*.f64 t t))) |
| ✓ | 0.0b | (+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))) |
| ✓ | 30.9b | (-.f64 1 (+.f64 1/6 (/.f64 2/9 t))) |
| 26.2b | 1/2 | |
| ✓ | 26.0b | (-.f64 1 1/6) |
| ✓ | 31.8b | (+.f64 (*.f64 t t) 1/2) |
| ✓ | 31.4b | (-.f64 1 (-.f64 (+.f64 1 (+.f64 (/.f64 2/9 t) 1/6)) 1)) |
| ✓ | 26.5b | (-.f64 1 (-.f64 7/6 1)) |
| ✓ | 26.0b | (-.f64 1 (/.f64 1 (+.f64 6 (/.f64 -8 t)))) |
| ✓ | 25.6b | (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12)))))))) |
| ✓ | 31.0b | (-.f64 1 (+.f64 (/.f64 2/9 t) (+.f64 1/6 (/.f64 (/.f64 -1/27 t) t)))) |
| ✓ | 25.6b | (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))) |
Compiled 134 to 114 computations (14.9% saved)
| Inputs |
|---|
1/2 |
(-.f64 1 1/2) |
(-.f64 1 1/6) |
(+.f64 (*.f64 t t) 1/2) |
(-.f64 1 (-.f64 7/6 1)) |
(-.f64 1 (+.f64 1/6 (/.f64 2/9 t))) |
(-.f64 1 (-.f64 1/2 (*.f64 t t))) |
(-.f64 1 (-.f64 (+.f64 1 (/.f64 2/9 t)) 5/6)) |
(-.f64 1 (/.f64 1 (+.f64 6 (/.f64 -8 t)))) |
(-.f64 1 (-.f64 (+.f64 1 (+.f64 (/.f64 2/9 t) 1/6)) 1)) |
(-.f64 1 (+.f64 1/6 (-.f64 (+.f64 1 (/.f64 2/9 t)) 1))) |
(-.f64 1 (+.f64 (/.f64 2/9 t) (+.f64 1/6 (/.f64 (/.f64 -1/27 t) 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 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12)))))))) |
(-.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:
| 36.0ms | (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) |
| 10.0ms | t |
| 8.0ms | (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))) |
| 3.0ms | (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))) |
| 3.0ms | (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | t |
| 0.0b | 1 | (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))) |
| 0.0b | 1 | (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))) |
| 0.0b | 1 | (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) |
| 0.0b | 1 | (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))) |
| 0.0b | 1 | (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) |
| 0.0b | 1 | (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))) |
Compiled 297 to 249 computations (16.2% saved)
| Inputs |
|---|
1/2 |
(-.f64 1 1/2) |
(-.f64 1 1/6) |
(+.f64 (*.f64 t t) 1/2) |
(-.f64 1 (-.f64 7/6 1)) |
(-.f64 1 (+.f64 1/6 (/.f64 2/9 t))) |
(-.f64 1 (-.f64 1/2 (*.f64 t t))) |
(-.f64 1 (-.f64 (+.f64 1 (/.f64 2/9 t)) 5/6)) |
(-.f64 1 (/.f64 1 (+.f64 6 (/.f64 -8 t)))) |
(-.f64 1 (-.f64 (+.f64 1 (+.f64 (/.f64 2/9 t) 1/6)) 1)) |
(-.f64 1 (+.f64 1/6 (-.f64 (+.f64 1 (/.f64 2/9 t)) 1))) |
(-.f64 1 (+.f64 (/.f64 2/9 t) (+.f64 1/6 (/.f64 (/.f64 -1/27 t) 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 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12)))))))) |
| Outputs |
|---|
(+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))) |
1 calls:
| 581.0ms | t |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | t |
Compiled 138 to 114 computations (17.4% saved)
| Inputs |
|---|
1/2 |
(-.f64 1 1/2) |
(-.f64 1 1/6) |
(+.f64 (*.f64 t t) 1/2) |
(-.f64 1 (-.f64 7/6 1)) |
(-.f64 1 (+.f64 1/6 (/.f64 2/9 t))) |
(-.f64 1 (-.f64 1/2 (*.f64 t t))) |
(-.f64 1 (-.f64 (+.f64 1 (/.f64 2/9 t)) 5/6)) |
(-.f64 1 (/.f64 1 (+.f64 6 (/.f64 -8 t)))) |
(-.f64 1 (-.f64 (+.f64 1 (+.f64 (/.f64 2/9 t) 1/6)) 1)) |
(-.f64 1 (+.f64 1/6 (-.f64 (+.f64 1 (/.f64 2/9 t)) 1))) |
(-.f64 1 (+.f64 (/.f64 2/9 t) (+.f64 1/6 (/.f64 (/.f64 -1/27 t) t)))) |
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))) |
| Outputs |
|---|
(-.f64 1 (/.f64 1 (+.f64 6 (/.f64 -8 t)))) |
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))) |
(-.f64 1 (+.f64 (/.f64 2/9 t) (+.f64 1/6 (/.f64 (/.f64 -1/27 t) t)))) |
1 calls:
| 63.0ms | t |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 3 | t |
Compiled 102 to 85 computations (16.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 50.0ms | 9.048284571860744e-12 | 27.821510964984643 |
| 74.0ms | -244315863499.63303 | -0.00011419557126135682 |
Compiled 34 to 29 computations (14.7% saved)
| Inputs |
|---|
1/2 |
(-.f64 1 1/2) |
(-.f64 1 1/6) |
(+.f64 (*.f64 t t) 1/2) |
(-.f64 1 (-.f64 7/6 1)) |
(-.f64 1 (+.f64 1/6 (/.f64 2/9 t))) |
(-.f64 1 (-.f64 1/2 (*.f64 t t))) |
(-.f64 1 (-.f64 (+.f64 1 (/.f64 2/9 t)) 5/6)) |
(-.f64 1 (/.f64 1 (+.f64 6 (/.f64 -8 t)))) |
(-.f64 1 (-.f64 (+.f64 1 (+.f64 (/.f64 2/9 t) 1/6)) 1)) |
(-.f64 1 (+.f64 1/6 (-.f64 (+.f64 1 (/.f64 2/9 t)) 1))) |
(-.f64 1 (+.f64 (/.f64 2/9 t) (+.f64 1/6 (/.f64 (/.f64 -1/27 t) t)))) |
| Outputs |
|---|
(-.f64 1 (/.f64 1 (+.f64 6 (/.f64 -8 t)))) |
(-.f64 1 (-.f64 1/2 (*.f64 t t))) |
(-.f64 1 (+.f64 (/.f64 2/9 t) (+.f64 1/6 (/.f64 (/.f64 -1/27 t) t)))) |
1 calls:
| 50.0ms | t |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 3 | t |
Compiled 87 to 73 computations (16.1% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 31.0ms | 9.048284571860744e-12 | 27.821510964984643 |
| 57.0ms | -244315863499.63303 | -0.00011419557126135682 |
Compiled 34 to 29 computations (14.7% saved)
| Inputs |
|---|
1/2 |
(-.f64 1 1/2) |
(-.f64 1 1/6) |
(+.f64 (*.f64 t t) 1/2) |
(-.f64 1 (-.f64 7/6 1)) |
(-.f64 1 (+.f64 1/6 (/.f64 2/9 t))) |
(-.f64 1 (-.f64 1/2 (*.f64 t t))) |
(-.f64 1 (-.f64 (+.f64 1 (/.f64 2/9 t)) 5/6)) |
(-.f64 1 (/.f64 1 (+.f64 6 (/.f64 -8 t)))) |
(-.f64 1 (-.f64 (+.f64 1 (+.f64 (/.f64 2/9 t) 1/6)) 1)) |
(-.f64 1 (+.f64 1/6 (-.f64 (+.f64 1 (/.f64 2/9 t)) 1))) |
| Outputs |
|---|
(-.f64 1 (/.f64 1 (+.f64 6 (/.f64 -8 t)))) |
(-.f64 1 (-.f64 1/2 (*.f64 t t))) |
(-.f64 1 (+.f64 1/6 (/.f64 2/9 t))) |
1 calls:
| 19.0ms | t |
| Error | Segments | Branch |
|---|---|---|
| 0.4b | 3 | t |
Compiled 74 to 63 computations (14.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 32.0ms | 9.048284571860744e-12 | 27.821510964984643 |
| 32.0ms | -244315863499.63303 | -0.00011419557126135682 |
Compiled 34 to 29 computations (14.7% saved)
| Inputs |
|---|
1/2 |
(-.f64 1 1/2) |
(-.f64 1 1/6) |
(+.f64 (*.f64 t t) 1/2) |
(-.f64 1 (-.f64 7/6 1)) |
(-.f64 1 (+.f64 1/6 (/.f64 2/9 t))) |
(-.f64 1 (-.f64 1/2 (*.f64 t t))) |
(-.f64 1 (-.f64 (+.f64 1 (/.f64 2/9 t)) 5/6)) |
| Outputs |
|---|
(-.f64 1 (+.f64 1/6 (/.f64 2/9 t))) |
(-.f64 1 (-.f64 1/2 (*.f64 t t))) |
(-.f64 1 (+.f64 1/6 (/.f64 2/9 t))) |
1 calls:
| 56.0ms | t |
| Error | Segments | Branch |
|---|---|---|
| 0.4b | 3 | t |
Compiled 43 to 35 computations (18.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 42.0ms | 9.048284571860744e-12 | 27.821510964984643 |
| 32.0ms | -244315863499.63303 | -0.00011419557126135682 |
Compiled 34 to 29 computations (14.7% saved)
| Inputs |
|---|
1/2 |
(-.f64 1 1/2) |
(-.f64 1 1/6) |
(+.f64 (*.f64 t t) 1/2) |
(-.f64 1 (-.f64 7/6 1)) |
(-.f64 1 (+.f64 1/6 (/.f64 2/9 t))) |
| Outputs |
|---|
(-.f64 1 (+.f64 1/6 (/.f64 2/9 t))) |
(+.f64 (*.f64 t t) 1/2) |
(-.f64 1 (+.f64 1/6 (/.f64 2/9 t))) |
1 calls:
| 13.0ms | t |
| Error | Segments | Branch |
|---|---|---|
| 0.4b | 3 | t |
Compiled 27 to 23 computations (14.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 44.0ms | 9.048284571860744e-12 | 27.821510964984643 |
| 32.0ms | -244315863499.63303 | -0.00011419557126135682 |
Compiled 34 to 29 computations (14.7% saved)
| Inputs |
|---|
1/2 |
(-.f64 1 1/2) |
(-.f64 1 1/6) |
(+.f64 (*.f64 t t) 1/2) |
(-.f64 1 (-.f64 7/6 1)) |
| Outputs |
|---|
(-.f64 1 1/6) |
(+.f64 (*.f64 t t) 1/2) |
(-.f64 1 1/6) |
1 calls:
| 40.0ms | t |
| Error | Segments | Branch |
|---|---|---|
| 0.7b | 3 | t |
Compiled 20 to 17 computations (15% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 37.0ms | 9.048284571860744e-12 | 27.821510964984643 |
| 36.0ms | -244315863499.63303 | -0.00011419557126135682 |
Compiled 34 to 29 computations (14.7% saved)
| Inputs |
|---|
1/2 |
(-.f64 1 1/2) |
(-.f64 1 1/6) |
| Outputs |
|---|
(-.f64 1 1/6) |
1/2 |
(-.f64 1 1/6) |
1 calls:
| 16.0ms | t |
| Error | Segments | Branch |
|---|---|---|
| 0.8b | 3 | t |
Compiled 10 to 9 computations (10% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 41.0ms | 9.048284571860744e-12 | 27.821510964984643 |
| 36.0ms | -244315863499.63303 | -0.00011419557126135682 |
Compiled 34 to 29 computations (14.7% saved)
Total 0.0b remaining (0%)
Threshold costs 0.0b (0%)
| Inputs |
|---|
1/2 |
(-.f64 1 1/2) |
| Outputs |
|---|
1/2 |
1 calls:
| 4.0ms | t |
| Error | Segments | Branch |
|---|---|---|
| 26.2b | 1 | t |
Compiled 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
| 39× | +-commutative_binary64 |
| 31× | sub-neg_binary64 |
| 29× | distribute-rgt-neg-in_binary64 |
| 29× | neg-sub0_binary64 |
| 29× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 351 |
| 1 | 108 | 351 |
| 2 | 155 | 351 |
| 3 | 202 | 351 |
| 4 | 240 | 351 |
| 5 | 275 | 351 |
| 6 | 316 | 351 |
| 7 | 356 | 351 |
| 8 | 392 | 351 |
| 9 | 415 | 351 |
| 10 | 419 | 351 |
| 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 -8005742215155975/32768) (-.f64 1 (/.f64 1 (+.f64 6 (/.f64 -8 t)))) (if (<=.f64 t 5600616879177295/618970019642690137449562112) (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))) (-.f64 1 (+.f64 (/.f64 2/9 t) (+.f64 1/6 (/.f64 (/.f64 -1/27 t) t)))))) |
(if (<=.f64 t -8005742215155975/32768) (-.f64 1 (/.f64 1 (+.f64 6 (/.f64 -8 t)))) (if (<=.f64 t 5600616879177295/618970019642690137449562112) (-.f64 1 (-.f64 1/2 (*.f64 t t))) (-.f64 1 (+.f64 (/.f64 2/9 t) (+.f64 1/6 (/.f64 (/.f64 -1/27 t) t)))))) |
(if (<=.f64 t -8005742215155975/32768) (-.f64 1 (/.f64 1 (+.f64 6 (/.f64 -8 t)))) (if (<=.f64 t 5600616879177295/618970019642690137449562112) (-.f64 1 (-.f64 1/2 (*.f64 t t))) (-.f64 1 (+.f64 1/6 (/.f64 2/9 t))))) |
(if (<=.f64 t -8005742215155975/32768) (-.f64 1 (+.f64 1/6 (/.f64 2/9 t))) (if (<=.f64 t 5600616879177295/618970019642690137449562112) (-.f64 1 (-.f64 1/2 (*.f64 t t))) (-.f64 1 (+.f64 1/6 (/.f64 2/9 t))))) |
(if (<=.f64 t -8005742215155975/32768) (-.f64 1 (+.f64 1/6 (/.f64 2/9 t))) (if (<=.f64 t 5600616879177295/618970019642690137449562112) (+.f64 (*.f64 t t) 1/2) (-.f64 1 (+.f64 1/6 (/.f64 2/9 t))))) |
(if (<=.f64 t -8005742215155975/32768) (-.f64 1 1/6) (if (<=.f64 t 5600616879177295/618970019642690137449562112) (+.f64 (*.f64 t t) 1/2) (-.f64 1 1/6))) |
(if (<=.f64 t -8005742215155975/32768) (-.f64 1 1/6) (if (<=.f64 t 5600616879177295/618970019642690137449562112) 1/2 (-.f64 1 1/6))) |
1/2 |
| 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 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 -8005742215155975/32768) (-.f64 1 (/.f64 1 (+.f64 6 (/.f64 -8 t)))) (if (<=.f64 t 5600616879177295/618970019642690137449562112) (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))) (-.f64 1 (+.f64 (/.f64 2/9 t) (+.f64 1/6 (/.f64 (/.f64 -1/27 t) t)))))) |
(if (<=.f64 t -8005742215155975/32768) (+.f64 1 (/.f64 -1 (+.f64 6 (/.f64 -8 t)))) (if (<=.f64 t 5600616879177295/618970019642690137449562112) (+.f64 1 (/.f64 -1 (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))) (+.f64 1 (+.f64 (/.f64 -2/9 t) (+.f64 -1/6 (/.f64 (/.f64 1/27 t) t)))))) |
(if (<=.f64 t -8005742215155975/32768) (-.f64 1 (/.f64 1 (+.f64 6 (/.f64 -8 t)))) (if (<=.f64 t 5600616879177295/618970019642690137449562112) (-.f64 1 (-.f64 1/2 (*.f64 t t))) (-.f64 1 (+.f64 (/.f64 2/9 t) (+.f64 1/6 (/.f64 (/.f64 -1/27 t) t)))))) |
(if (<=.f64 t -8005742215155975/32768) (+.f64 1 (/.f64 -1 (+.f64 6 (/.f64 -8 t)))) (if (<=.f64 t 5600616879177295/618970019642690137449562112) (+.f64 1 (+.f64 (*.f64 t t) -1/2)) (+.f64 1 (+.f64 (/.f64 -2/9 t) (+.f64 -1/6 (/.f64 (/.f64 1/27 t) t)))))) |
(if (<=.f64 t -8005742215155975/32768) (-.f64 1 (/.f64 1 (+.f64 6 (/.f64 -8 t)))) (if (<=.f64 t 5600616879177295/618970019642690137449562112) (-.f64 1 (-.f64 1/2 (*.f64 t t))) (-.f64 1 (+.f64 1/6 (/.f64 2/9 t))))) |
(if (<=.f64 t -8005742215155975/32768) (-.f64 1 (/.f64 1 (+.f64 6 (/.f64 -8 t)))) (if (<=.f64 t 5600616879177295/618970019642690137449562112) (-.f64 1 (-.f64 1/2 (*.f64 t t))) (-.f64 1 (+.f64 (/.f64 2/9 t) 1/6)))) |
(if (<=.f64 t -8005742215155975/32768) (-.f64 1 (/.f64 1 (+.f64 6 (/.f64 -8 t)))) (if (<=.f64 t 5600616879177295/618970019642690137449562112) (-.f64 1 (-.f64 1/2 (*.f64 t t))) (+.f64 1 (+.f64 (/.f64 -2/9 t) -1/6)))) |
(if (<=.f64 t -8005742215155975/32768) (+.f64 1 (/.f64 -1 (+.f64 6 (/.f64 -8 t)))) (if (<=.f64 t 5600616879177295/618970019642690137449562112) (+.f64 1 (+.f64 (*.f64 t t) -1/2)) (+.f64 1 (+.f64 (/.f64 -2/9 t) -1/6)))) |
(if (<=.f64 t -8005742215155975/32768) (-.f64 1 (+.f64 1/6 (/.f64 2/9 t))) (if (<=.f64 t 5600616879177295/618970019642690137449562112) (-.f64 1 (-.f64 1/2 (*.f64 t t))) (-.f64 1 (+.f64 1/6 (/.f64 2/9 t))))) |
(if (<=.f64 t -8005742215155975/32768) (-.f64 1 (+.f64 (/.f64 2/9 t) 1/6)) (if (<=.f64 t 5600616879177295/618970019642690137449562112) (-.f64 1 (-.f64 1/2 (*.f64 t t))) (-.f64 1 (+.f64 (/.f64 2/9 t) 1/6)))) |
(if (<=.f64 t -8005742215155975/32768) (+.f64 1 (+.f64 (/.f64 -2/9 t) -1/6)) (if (<=.f64 t 5600616879177295/618970019642690137449562112) (-.f64 1 (-.f64 1/2 (*.f64 t t))) (+.f64 1 (+.f64 (/.f64 -2/9 t) -1/6)))) |
(if (<=.f64 t -8005742215155975/32768) (+.f64 1 (+.f64 (/.f64 -2/9 t) -1/6)) (if (<=.f64 t 5600616879177295/618970019642690137449562112) (+.f64 1 (+.f64 (*.f64 t t) -1/2)) (+.f64 1 (+.f64 (/.f64 -2/9 t) -1/6)))) |
(if (<=.f64 t -8005742215155975/32768) (-.f64 1 (+.f64 1/6 (/.f64 2/9 t))) (if (<=.f64 t 5600616879177295/618970019642690137449562112) (+.f64 (*.f64 t t) 1/2) (-.f64 1 (+.f64 1/6 (/.f64 2/9 t))))) |
(if (<=.f64 t -8005742215155975/32768) (-.f64 1 (+.f64 (/.f64 2/9 t) 1/6)) (if (<=.f64 t 5600616879177295/618970019642690137449562112) (+.f64 1/2 (*.f64 t t)) (-.f64 1 (+.f64 (/.f64 2/9 t) 1/6)))) |
(if (<=.f64 t -8005742215155975/32768) (+.f64 1 (+.f64 (/.f64 -2/9 t) -1/6)) (if (<=.f64 t 5600616879177295/618970019642690137449562112) (+.f64 1/2 (*.f64 t t)) (+.f64 1 (+.f64 (/.f64 -2/9 t) -1/6)))) |
(if (<=.f64 t -8005742215155975/32768) (-.f64 1 1/6) (if (<=.f64 t 5600616879177295/618970019642690137449562112) (+.f64 (*.f64 t t) 1/2) (-.f64 1 1/6))) |
(if (<=.f64 t -8005742215155975/32768) 5/6 (if (<=.f64 t 5600616879177295/618970019642690137449562112) (+.f64 1/2 (*.f64 t t)) 5/6)) |
(if (<=.f64 t -8005742215155975/32768) (-.f64 1 1/6) (if (<=.f64 t 5600616879177295/618970019642690137449562112) 1/2 (-.f64 1 1/6))) |
(if (<=.f64 t -8005742215155975/32768) 5/6 (if (<=.f64 t 5600616879177295/618970019642690137449562112) 1/2 5/6)) |
1/2 |
Compiled 252 to 205 computations (18.7% saved)
Compiled 243 to 192 computations (21% saved)
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