Time bar (total: 11.9s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 25% | 75% | 0% | 3 |
| 50% | 50% | 0% | 4 |
| 81.2% | 18.7% | 0% | 5 |
| 90.6% | 9.4% | 0% | 6 |
| 95.3% | 4.7% | 0% | 7 |
| 97.6% | 2.3% | 0% | 8 |
| 98.8% | 1.2% | 0% | 9 |
| 99.4% | 0.6% | 0% | 10 |
| 99.7% | 0.3% | 0% | 11 |
| 99.8% | 0.1% | 0% | 12 |
Compiled 37 to 29 computations (21.6% saved)
| 1.7s | 8256× | body | 256 | valid |
| 2× | egg-herbie |
| 1141× | distribute-rgt-in_binary64 |
| 1108× | fma-def_binary64 |
| 549× | times-frac_binary64 |
| 464× | distribute-rgt-out_binary64 |
| 460× | associate-+l+_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 52 |
| 1 | 23 | 48 |
| 2 | 49 | 46 |
| 3 | 134 | 42 |
| 4 | 350 | 42 |
| 5 | 617 | 42 |
| 6 | 1048 | 42 |
| 7 | 2279 | 38 |
| 8 | 3249 | 36 |
| 9 | 4467 | 36 |
| 10 | 4818 | 36 |
| 11 | 5104 | 36 |
| 12 | 5154 | 36 |
| 13 | 6197 | 36 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))) |
| Outputs |
|---|
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))) |
(/.f64 (+.f64 1 (*.f64 (/.f64 2 (/.f64 (+.f64 1 t) t)) (/.f64 2 (/.f64 (+.f64 1 t) t)))) (+.f64 2 (*.f64 (/.f64 2 (/.f64 (+.f64 1 t) t)) (/.f64 2 (/.f64 (+.f64 1 t) t))))) |
(/.f64 (fma.f64 (*.f64 (/.f64 2 (+.f64 1 t)) t) (*.f64 (/.f64 2 (+.f64 1 t)) t) 1) (fma.f64 (*.f64 (/.f64 2 (+.f64 1 t)) t) (*.f64 (/.f64 2 (+.f64 1 t)) t) 2)) |
(/.f64 (+.f64 1 (/.f64 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t)) (+.f64 1 t))) (+.f64 2 (/.f64 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t)) (+.f64 1 t)))) |
(/.f64 (fma.f64 (/.f64 (/.f64 4 (+.f64 1 t)) (+.f64 1 t)) (*.f64 t t) 1) (fma.f64 (/.f64 (/.f64 4 (+.f64 1 t)) (+.f64 1 t)) (*.f64 t t) 2)) |
(/.f64 (fma.f64 t (*.f64 t (/.f64 (/.f64 4 (+.f64 1 t)) (+.f64 1 t))) 1) (fma.f64 (/.f64 (/.f64 4 (+.f64 1 t)) (+.f64 1 t)) (*.f64 t t) 2)) |
(/.f64 (fma.f64 t (*.f64 (/.f64 t (+.f64 1 t)) (/.f64 4 (+.f64 1 t))) 1) (fma.f64 t (*.f64 (/.f64 t (+.f64 1 t)) (/.f64 4 (+.f64 1 t))) 2)) |
(/.f64 (fma.f64 t (*.f64 t (/.f64 4 (fma.f64 t (+.f64 2 t) 1))) 1) (fma.f64 (/.f64 4 (fma.f64 t (+.f64 2 t) 1)) (*.f64 t t) 2)) |
(/.f64 (fma.f64 t (/.f64 4 (+.f64 (/.f64 1 t) (+.f64 2 t))) 1) (fma.f64 t (/.f64 4 (+.f64 (/.f64 1 t) (+.f64 2 t))) 2)) |
(/.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 2 (/.f64 1 t)))) 1) (fma.f64 t (/.f64 4 (+.f64 t (+.f64 2 (/.f64 1 t)))) 2)) |
Compiled 37 to 29 computations (21.6% saved)
| 1× | egg-herbie |
| 1141× | distribute-rgt-in_binary64 |
| 1108× | fma-def_binary64 |
| 549× | times-frac_binary64 |
| 464× | distribute-rgt-out_binary64 |
| 460× | associate-+l+_binary64 |
Useful iterations: 8 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 52 |
| 1 | 23 | 48 |
| 2 | 49 | 46 |
| 3 | 134 | 42 |
| 4 | 350 | 42 |
| 5 | 617 | 42 |
| 6 | 1048 | 42 |
| 7 | 2279 | 38 |
| 8 | 3249 | 36 |
| 9 | 4467 | 36 |
| 10 | 4818 | 36 |
| 11 | 5104 | 36 |
| 12 | 5154 | 36 |
| 13 | 6197 | 36 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))) |
| Outputs |
|---|
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))) |
(/.f64 (+.f64 1 (*.f64 (/.f64 2 (/.f64 (+.f64 1 t) t)) (/.f64 2 (/.f64 (+.f64 1 t) t)))) (+.f64 2 (*.f64 (/.f64 2 (/.f64 (+.f64 1 t) t)) (/.f64 2 (/.f64 (+.f64 1 t) t))))) |
(/.f64 (fma.f64 (*.f64 (/.f64 2 (+.f64 1 t)) t) (*.f64 (/.f64 2 (+.f64 1 t)) t) 1) (fma.f64 (*.f64 (/.f64 2 (+.f64 1 t)) t) (*.f64 (/.f64 2 (+.f64 1 t)) t) 2)) |
(/.f64 (+.f64 1 (/.f64 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t)) (+.f64 1 t))) (+.f64 2 (/.f64 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t)) (+.f64 1 t)))) |
(/.f64 (fma.f64 (/.f64 (/.f64 4 (+.f64 1 t)) (+.f64 1 t)) (*.f64 t t) 1) (fma.f64 (/.f64 (/.f64 4 (+.f64 1 t)) (+.f64 1 t)) (*.f64 t t) 2)) |
(/.f64 (fma.f64 t (*.f64 t (/.f64 (/.f64 4 (+.f64 1 t)) (+.f64 1 t))) 1) (fma.f64 (/.f64 (/.f64 4 (+.f64 1 t)) (+.f64 1 t)) (*.f64 t t) 2)) |
(/.f64 (fma.f64 t (*.f64 (/.f64 t (+.f64 1 t)) (/.f64 4 (+.f64 1 t))) 1) (fma.f64 t (*.f64 (/.f64 t (+.f64 1 t)) (/.f64 4 (+.f64 1 t))) 2)) |
(/.f64 (fma.f64 t (*.f64 t (/.f64 4 (fma.f64 t (+.f64 2 t) 1))) 1) (fma.f64 (/.f64 4 (fma.f64 t (+.f64 2 t) 1)) (*.f64 t t) 2)) |
(/.f64 (fma.f64 t (/.f64 4 (+.f64 (/.f64 1 t) (+.f64 2 t))) 1) (fma.f64 t (/.f64 4 (+.f64 (/.f64 1 t) (+.f64 2 t))) 2)) |
(/.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 2 (/.f64 1 t)))) 1) (fma.f64 t (/.f64 4 (+.f64 t (+.f64 2 (/.f64 1 t)))) 2)) |
Compiled 61 to 47 computations (23% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 2 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))) |
Compiled 36 to 28 computations (22.2% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (*.f64 2 t) (+.f64 1 t)) |
| ✓ | 0.0b | (/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))) |
| ✓ | 0.0b | (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))) |
Compiled 101 to 76 computations (24.8% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | 0 | (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))) |
| 1.0ms | t | @ | inf | (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))) |
| 1.0ms | t | @ | -inf | (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))) |
| 1.0ms | t | @ | inf | (/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))) |
| 1.0ms | t | @ | -inf | (/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))) |
| 1× | batch-egg-rewrite |
| 990× | prod-diff_binary64 |
| 379× | fma-def_binary64 |
| 275× | log-div_binary64 |
| 224× | expm1-udef_binary64 |
| 224× | log1p-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 57 |
| 1 | 258 | 57 |
| 2 | 3957 | 57 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))) |
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))) |
(/.f64 (*.f64 2 t) (+.f64 1 t)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (*.f64 1/2 (/.f64 (+.f64 t 1) t)) (/.f64 (+.f64 t 1) t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (/.f64 (+.f64 t 1) t) (*.f64 1/2 (/.f64 (+.f64 t 1) t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 t) (*.f64 (*.f64 1/2 (/.f64 (+.f64 t 1) t)) (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 t) (*.f64 (+.f64 t 1) (*.f64 1/2 (/.f64 (+.f64 t 1) t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 t) (/.f64 (pow.f64 (+.f64 t 1) 2) (*.f64 2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 t) (/.f64 (+.f64 t 1) (*.f64 2 (/.f64 t (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 1/2 (/.f64 (+.f64 t 1) t)) (*.f64 1/2 (/.f64 (+.f64 t 1) t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (+.f64 t 1) 2) (*.f64 4 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 t 1) (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) (*.f64 1/2 (/.f64 (+.f64 t 1) t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (*.f64 t t)) (pow.f64 (+.f64 t 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t -2) (*.f64 (*.f64 1/2 (/.f64 (+.f64 t 1) t)) (+.f64 (neg.f64 t) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 t -2) (*.f64 t -2)) (*.f64 (+.f64 (neg.f64 t) -1) (+.f64 (neg.f64 t) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 4 (*.f64 t t))) (neg.f64 (pow.f64 (+.f64 t 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1))) (+.f64 (neg.f64 t) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 t) 2) (*.f64 (+.f64 t 1) (/.f64 (+.f64 t 1) t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 t -2) 2) (*.f64 (+.f64 (neg.f64 t) -1) (/.f64 (+.f64 t 1) t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 t)) (*.f64 (/.f64 (+.f64 t 1) t) (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 t -2) (*.f64 2 t)) (*.f64 (+.f64 (neg.f64 t) -1) (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 t -2) 1) (*.f64 (+.f64 (neg.f64 t) -1) (*.f64 1/2 (/.f64 (+.f64 t 1) t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 t -2)) (*.f64 (/.f64 (+.f64 t 1) t) (+.f64 (neg.f64 t) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 t) (*.f64 t -2)) (*.f64 (+.f64 t 1) (+.f64 (neg.f64 t) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) 1) (+.f64 t 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (pow.f64 (cbrt.f64 (+.f64 t 1)) 2)) (cbrt.f64 (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (sqrt.f64 (+.f64 t 1))) (sqrt.f64 (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (/.f64 t (+.f64 t 1)))) (/.f64 (+.f64 t 1) t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 t -2) (*.f64 2 (/.f64 t (+.f64 t 1)))) (+.f64 (neg.f64 t) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2) (/.f64 (+.f64 t 1) t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) (*.f64 t -2)) (+.f64 (neg.f64 t) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (-.f64 (log.f64 (*.f64 2 t)) (log1p.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 2 t)) (log1p.f64 t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (-.f64 (log.f64 (*.f64 2 t)) (log1p.f64 t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2)) 2) (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2)) -1)))) (#(struct:change #<rule egg-rr> 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) (+.f64 2 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) (+.f64 2 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) (/.f64 1 (+.f64 2 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) (+.f64 2 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) (+.f64 2 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2)))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) (+.f64 2 (pow.f64 (*.f64 2 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t)) (log1p.f64 t)) 1)))))) |
| 1× | egg-herbie |
| 599× | fma-neg_binary64 |
| 495× | distribute-lft-out_binary64 |
| 472× | distribute-rgt-out_binary64 |
| 415× | cancel-sign-sub-inv_binary64 |
| 369× | fma-def_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 464 |
| 1 | 228 | 457 |
| 2 | 602 | 449 |
| 3 | 1710 | 441 |
| 4 | 4462 | 428 |
| 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 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2)))) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 -16 (pow.f64 t 5)) (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))))) |
4 |
(-.f64 4 (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3))))) |
4 |
(-.f64 4 (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3))))) |
1/2 |
(+.f64 1/2 (pow.f64 t 2)) |
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2))) |
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (pow.f64 t 4) (pow.f64 t 2)))) |
5/6 |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (*.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t))) |
5/6 |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (*.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t))) |
(*.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)))) |
| 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 (+.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 4 (*.f64 t t)))) |
(fma.f64 12 (pow.f64 t 4) (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))) |
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 (*.f64 t 12) -8)))) |
(+.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 4 (*.f64 t t))))) |
(fma.f64 -16 (pow.f64 t 5) (fma.f64 12 (pow.f64 t 4) (*.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 (*.f64 t 12) -8))))) |
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 12 (*.f64 t t)) (+.f64 4 (/.f64 -8 t))) |
(+.f64 4 (+.f64 (/.f64 (/.f64 12 t) t) (/.f64 -8 t))) |
(+.f64 4 (+.f64 (/.f64 12 (*.f64 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 (+.f64 4 (/.f64 12 (*.f64 t t))) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))) |
(+.f64 (+.f64 4 (/.f64 12 (*.f64 t t))) (-.f64 (/.f64 -8 t) (/.f64 16 (pow.f64 t 3)))) |
(+.f64 4 (+.f64 (+.f64 (/.f64 (/.f64 12 t) t) (/.f64 -8 t)) (/.f64 -16 (pow.f64 t 3)))) |
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (-.f64 4 (/.f64 8 t)) (/.f64 -16 (pow.f64 t 3)))) |
(-.f64 (+.f64 4 (*.f64 (/.f64 1 (*.f64 t t)) (-.f64 12 (/.f64 16 t)))) (/.f64 8 t)) |
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 12 (*.f64 t t)) (+.f64 4 (/.f64 -8 t))) |
(+.f64 4 (+.f64 (/.f64 (/.f64 12 t) t) (/.f64 -8 t))) |
(+.f64 4 (+.f64 (/.f64 12 (*.f64 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 (+.f64 4 (/.f64 12 (*.f64 t t))) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))) |
(+.f64 (+.f64 4 (/.f64 12 (*.f64 t t))) (-.f64 (/.f64 -8 t) (/.f64 16 (pow.f64 t 3)))) |
(+.f64 4 (+.f64 (+.f64 (/.f64 (/.f64 12 t) t) (/.f64 -8 t)) (/.f64 -16 (pow.f64 t 3)))) |
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (-.f64 4 (/.f64 8 t)) (/.f64 -16 (pow.f64 t 3)))) |
(-.f64 (+.f64 4 (*.f64 (/.f64 1 (*.f64 t t)) (-.f64 12 (/.f64 16 t)))) (/.f64 8 t)) |
1/2 |
(+.f64 1/2 (pow.f64 t 2)) |
(+.f64 (*.f64 t t) 1/2) |
(fma.f64 t t 1/2) |
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2))) |
(fma.f64 -2 (pow.f64 t 3) (+.f64 (*.f64 t t) 1/2)) |
(fma.f64 (pow.f64 t 3) -2 (fma.f64 t t 1/2)) |
(fma.f64 t t (fma.f64 (pow.f64 t 3) -2 1/2)) |
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (pow.f64 t 4) (pow.f64 t 2)))) |
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (+.f64 (*.f64 t t) (pow.f64 t 4)))) |
(+.f64 (fma.f64 t t (pow.f64 t 4)) (fma.f64 (pow.f64 t 3) -2 1/2)) |
(+.f64 (pow.f64 t 4) (fma.f64 t t (fma.f64 (pow.f64 t 3) -2 1/2))) |
(+.f64 (fma.f64 t t 1/2) (*.f64 (pow.f64 t 3) (+.f64 t -2))) |
5/6 |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (/.f64 2/9 t)) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t))) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t))) |
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (*.f64 t t))) |
(+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t))) |
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (*.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t))) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (+.f64 5/6 (/.f64 4/81 (pow.f64 t 3))) (/.f64 2/9 t))) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (-.f64 (/.f64 4/81 (pow.f64 t 3)) (/.f64 2/9 t)))) |
(+.f64 5/6 (-.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3))) (/.f64 2/9 t))) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 4/81 (pow.f64 t 3)))) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 4/81 (pow.f64 t 3)))) |
5/6 |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (/.f64 2/9 t)) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t))) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t))) |
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (*.f64 t t))) |
(+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t))) |
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (*.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t))) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (+.f64 5/6 (/.f64 4/81 (pow.f64 t 3))) (/.f64 2/9 t))) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (-.f64 (/.f64 4/81 (pow.f64 t 3)) (/.f64 2/9 t)))) |
(+.f64 5/6 (-.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3))) (/.f64 2/9 t))) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 4/81 (pow.f64 t 3)))) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 4/81 (pow.f64 t 3)))) |
(*.f64 2 t) |
(*.f64 t 2) |
(+.f64 (*.f64 2 t) (*.f64 -2 (pow.f64 t 2))) |
(fma.f64 2 t (*.f64 (*.f64 t t) -2)) |
(fma.f64 t 2 (*.f64 (*.f64 t 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 t 2 (fma.f64 2 (pow.f64 t 3) (*.f64 (*.f64 t t) -2))) |
(fma.f64 t 2 (*.f64 (*.f64 t t) (+.f64 -2 (*.f64 t 2)))) |
(*.f64 t (+.f64 (*.f64 t (+.f64 -2 (*.f64 t 2))) 2)) |
(*.f64 t (+.f64 2 (*.f64 t (+.f64 -2 (*.f64 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 t 2 (+.f64 (*.f64 2 (pow.f64 t 3)) (*.f64 -2 (fma.f64 t t (pow.f64 t 4))))) |
(fma.f64 -2 (fma.f64 t t (pow.f64 t 4)) (*.f64 2 (+.f64 (pow.f64 t 3) t))) |
(*.f64 (fma.f64 t t 1) (*.f64 t (+.f64 2 (*.f64 t -2)))) |
(*.f64 (+.f64 2 (*.f64 t -2)) (+.f64 t (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 t)) (/.f64 2 (*.f64 t t))) |
(+.f64 (/.f64 2 (*.f64 t t)) (+.f64 2 (/.f64 -2 t))) |
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t)))) |
(+.f64 2 (-.f64 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3))))) |
(+.f64 2 (+.f64 (+.f64 (/.f64 2 (*.f64 t t)) (/.f64 -2 (pow.f64 t 3))) (/.f64 -2 t))) |
(+.f64 2 (-.f64 (/.f64 -2 t) (-.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 2 (*.f64 t t))))) |
(*.f64 (+.f64 1 (/.f64 1 (*.f64 t t))) (+.f64 2 (/.f64 -2 t))) |
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 t)) (/.f64 2 (*.f64 t t))) |
(+.f64 (/.f64 2 (*.f64 t t)) (+.f64 2 (/.f64 -2 t))) |
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t)))) |
(+.f64 2 (-.f64 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3))))) |
(+.f64 2 (+.f64 (+.f64 (/.f64 2 (*.f64 t t)) (/.f64 -2 (pow.f64 t 3))) (/.f64 -2 t))) |
(+.f64 2 (-.f64 (/.f64 -2 t) (-.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 2 (*.f64 t t))))) |
(*.f64 (+.f64 1 (/.f64 1 (*.f64 t t))) (+.f64 2 (/.f64 -2 t))) |
Compiled 15677 to 12343 computations (21.3% saved)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 418 | 11 | 429 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 419 | 11 | 430 |
| Status | Error | Program |
|---|---|---|
| 0.5b | (/.f64 (+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) 1)) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))) | |
| ▶ | 30.1b | (+.f64 5/6 (/.f64 -2/9 t)) |
| 18.8b | (/.f64 (+.f64 1 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))) | |
| ▶ | 32.8b | (fma.f64 t t 1/2) |
| 30.1b | (+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))) | |
| 32.4b | (/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8)))))) | |
| 25.3b | 5/6 | |
| ▶ | 32.2b | (/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
| ▶ | 0.0b | (/.f64 (+.f64 1 (log.f64 (exp.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))) |
| 27.1b | 1/2 | |
| ▶ | 30.6b | (/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (+.f64 2 (/.f64 -2 t))))) |
Compiled 430 to 338 computations (21.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2) |
| 0.0b | (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))) | |
| ✓ | 0.0b | (exp.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2)) |
| ✓ | 0.8b | (log.f64 (exp.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2))) |
Compiled 138 to 106 computations (23.2% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | 0 | (log.f64 (exp.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2))) |
| 1.0ms | t | @ | inf | (exp.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2)) |
| 1.0ms | t | @ | 0 | (exp.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2)) |
| 1.0ms | t | @ | -inf | (exp.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2)) |
| 1.0ms | t | @ | inf | (log.f64 (exp.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2))) |
| 1× | batch-egg-rewrite |
| 923× | pow1_binary64 |
| 859× | log1p-expm1-u_binary64 |
| 859× | expm1-log1p-u_binary64 |
| 858× | add-log-exp_binary64 |
| 839× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 41 |
| 1 | 199 | 41 |
| 2 | 2444 | 41 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (exp.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2))) |
(exp.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2)) |
(pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 4 (pow.f64 (/.f64 t (+.f64 t 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 t (+.f64 t 1)) 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 t (+.f64 t 1)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 t (+.f64 t 1)) 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 t (+.f64 t 1)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 4 (pow.f64 (/.f64 t (+.f64 t 1)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 t (+.f64 t 1)) (*.f64 2 (/.f64 t (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 4 (pow.f64 (/.f64 t (+.f64 t 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 t (+.f64 t 1)) (*.f64 2 (*.f64 2 (/.f64 t (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) (*.f64 2 (/.f64 t (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (pow.f64 (/.f64 t (+.f64 t 1)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (pow.f64 (/.f64 t (+.f64 t 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 t (+.f64 t 1)) 2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 4)) (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) (cbrt.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) (*.f64 (cbrt.f64 (*.f64 2 (/.f64 t (+.f64 t 1)))) (*.f64 2 (/.f64 t (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (/.f64 t (+.f64 t 1)))) (*.f64 (sqrt.f64 (*.f64 2 (/.f64 t (+.f64 t 1)))) (*.f64 2 (/.f64 t (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) (sqrt.f64 (*.f64 2 (/.f64 t (+.f64 t 1))))) (sqrt.f64 (*.f64 2 (/.f64 t (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2) (/.f64 t (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) (/.f64 t (+.f64 t 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2)) (cbrt.f64 (*.f64 2 (/.f64 t (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 t) (*.f64 2 t)) (pow.f64 (+.f64 t 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 t) (*.f64 2 (/.f64 t (+.f64 t 1)))) (+.f64 t 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) (*.f64 2 t)) (+.f64 t 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (pow.f64 (/.f64 t (+.f64 t 1)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 4 (pow.f64 (/.f64 t (+.f64 t 1)) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 4 (pow.f64 (/.f64 t (+.f64 t 1)) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 4 (pow.f64 (/.f64 t (+.f64 t 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 4 (pow.f64 (/.f64 t (+.f64 t 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (-.f64 (log.f64 (*.f64 2 t)) (log1p.f64 t)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (*.f64 4 (pow.f64 (/.f64 t (+.f64 t 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 t (+.f64 t 1)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 t (+.f64 t 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 t (+.f64 t 1)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 t (+.f64 t 1)) 2))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 t (+.f64 t 1)) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 t (+.f64 t 1)) 2))) 2) (cbrt.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 t (+.f64 t 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 t (+.f64 t 1)) 2))) (sqrt.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 t (+.f64 t 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 t (+.f64 t 1)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 2) (/.f64 t (+.f64 t 1))) (*.f64 2 (/.f64 t (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (*.f64 4 (pow.f64 (/.f64 t (+.f64 t 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 t (+.f64 t 1)) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 t (+.f64 t 1)) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 t (+.f64 t 1)) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 4))) (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 4) (pow.f64 (/.f64 t (+.f64 t 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 t (+.f64 t 1)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 t (+.f64 t 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 t (+.f64 t 1)) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 t (+.f64 t 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 t (+.f64 t 1)) 2)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 4 (pow.f64 (/.f64 t (+.f64 t 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 t (+.f64 t 1)) 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 t (+.f64 t 1)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 t (+.f64 t 1)) 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 t (+.f64 t 1)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 4 (pow.f64 (/.f64 t (+.f64 t 1)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 t (+.f64 t 1)) (*.f64 2 (/.f64 t (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 4 (pow.f64 (/.f64 t (+.f64 t 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 t (+.f64 t 1)) (*.f64 2 (*.f64 2 (/.f64 t (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) (*.f64 2 (/.f64 t (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (pow.f64 (/.f64 t (+.f64 t 1)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (pow.f64 (/.f64 t (+.f64 t 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 t (+.f64 t 1)) 2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 4)) (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) (cbrt.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) (*.f64 (cbrt.f64 (*.f64 2 (/.f64 t (+.f64 t 1)))) (*.f64 2 (/.f64 t (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (/.f64 t (+.f64 t 1)))) (*.f64 (sqrt.f64 (*.f64 2 (/.f64 t (+.f64 t 1)))) (*.f64 2 (/.f64 t (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) (sqrt.f64 (*.f64 2 (/.f64 t (+.f64 t 1))))) (sqrt.f64 (*.f64 2 (/.f64 t (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2) (/.f64 t (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) (/.f64 t (+.f64 t 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2)) (cbrt.f64 (*.f64 2 (/.f64 t (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 t) (*.f64 2 t)) (pow.f64 (+.f64 t 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 t) (*.f64 2 (/.f64 t (+.f64 t 1)))) (+.f64 t 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) (*.f64 2 t)) (+.f64 t 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 t (+.f64 t 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 4 (pow.f64 (/.f64 t (+.f64 t 1)) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 4 (pow.f64 (/.f64 t (+.f64 t 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 4 (pow.f64 (/.f64 t (+.f64 t 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (-.f64 (log.f64 (*.f64 2 t)) (log1p.f64 t)))))))) |
| 1× | egg-herbie |
| 770× | fma-def_binary64 |
| 577× | associate-/l/_binary64 |
| 525× | associate-/l*_binary64 |
| 419× | associate-*l/_binary64 |
| 331× | associate-*r/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 546 |
| 1 | 157 | 540 |
| 2 | 406 | 510 |
| 3 | 1174 | 482 |
| 4 | 3756 | 482 |
| 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 (*.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 |
(+.f64 1 (*.f64 4 (pow.f64 t 2))) |
(+.f64 1 (+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))) |
(+.f64 1 (+.f64 (*.f64 20 (pow.f64 t 4)) (+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))))) |
(exp.f64 4) |
(+.f64 (*.f64 -8 (/.f64 (exp.f64 4) t)) (exp.f64 4)) |
(+.f64 (*.f64 -8 (/.f64 (exp.f64 4) t)) (+.f64 (exp.f64 4) (*.f64 44 (/.f64 (exp.f64 4) (pow.f64 t 2))))) |
(+.f64 (*.f64 -8 (/.f64 (exp.f64 4) t)) (+.f64 (exp.f64 4) (+.f64 (*.f64 -592/3 (/.f64 (exp.f64 4) (pow.f64 t 3))) (*.f64 44 (/.f64 (exp.f64 4) (pow.f64 t 2)))))) |
(exp.f64 4) |
(+.f64 (*.f64 -8 (/.f64 (exp.f64 4) t)) (exp.f64 4)) |
(+.f64 (*.f64 -8 (/.f64 (exp.f64 4) t)) (+.f64 (exp.f64 4) (*.f64 44 (/.f64 (exp.f64 4) (pow.f64 t 2))))) |
(+.f64 (*.f64 -8 (/.f64 (exp.f64 4) t)) (+.f64 (exp.f64 4) (+.f64 (*.f64 -592/3 (/.f64 (exp.f64 4) (pow.f64 t 3))) (*.f64 44 (/.f64 (exp.f64 4) (pow.f64 t 2)))))) |
(*.f64 4 (pow.f64 t 2)) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2)))) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 -16 (pow.f64 t 5)) (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))))) |
4 |
(-.f64 4 (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3))))) |
4 |
(-.f64 4 (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3))))) |
| Outputs |
|---|
(*.f64 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 (*.f64 t 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 12 (pow.f64 t 4) (*.f64 4 (*.f64 t t)))) |
(fma.f64 12 (pow.f64 t 4) (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))) |
(fma.f64 (*.f64 t t) (fma.f64 t -8 4) (*.f64 12 (pow.f64 t 4))) |
(+.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 4 (*.f64 t t))))) |
(fma.f64 -16 (pow.f64 t 5) (fma.f64 12 (pow.f64 t 4) (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))))) |
(fma.f64 t (*.f64 t (fma.f64 t -8 4)) (fma.f64 12 (pow.f64 t 4) (*.f64 -16 (pow.f64 t 5)))) |
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 4 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t))) |
(+.f64 (-.f64 4 (/.f64 8 t)) (/.f64 12 (*.f64 t t))) |
(-.f64 4 (-.f64 (/.f64 8 t) (/.f64 12 (*.f64 t 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 12 (*.f64 t t)) (-.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 16 (pow.f64 t 3)))) |
(+.f64 4 (+.f64 (/.f64 -8 t) (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 16 (pow.f64 t 3))))) |
(+.f64 4 (-.f64 (/.f64 -16 (pow.f64 t 3)) (-.f64 (/.f64 8 t) (/.f64 12 (*.f64 t t))))) |
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 4 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t))) |
(+.f64 (-.f64 4 (/.f64 8 t)) (/.f64 12 (*.f64 t t))) |
(-.f64 4 (-.f64 (/.f64 8 t) (/.f64 12 (*.f64 t 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 12 (*.f64 t t)) (-.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 16 (pow.f64 t 3)))) |
(+.f64 4 (+.f64 (/.f64 -8 t) (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 16 (pow.f64 t 3))))) |
(+.f64 4 (-.f64 (/.f64 -16 (pow.f64 t 3)) (-.f64 (/.f64 8 t) (/.f64 12 (*.f64 t t))))) |
1 |
(+.f64 1 (*.f64 4 (pow.f64 t 2))) |
(+.f64 (*.f64 4 (*.f64 t t)) 1) |
(fma.f64 4 (*.f64 t t) 1) |
(+.f64 1 (+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))) |
(+.f64 (fma.f64 -8 (pow.f64 t 3) (*.f64 4 (*.f64 t t))) 1) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (fma.f64 4 (*.f64 t t) 1)) |
(fma.f64 4 (*.f64 t t) (fma.f64 -8 (pow.f64 t 3) 1)) |
(fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) |
(+.f64 1 (+.f64 (*.f64 20 (pow.f64 t 4)) (+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))))) |
(+.f64 1 (fma.f64 20 (pow.f64 t 4) (fma.f64 -8 (pow.f64 t 3) (*.f64 4 (*.f64 t t))))) |
(+.f64 1 (fma.f64 (pow.f64 t 4) 20 (fma.f64 4 (*.f64 t t) (*.f64 -8 (pow.f64 t 3))))) |
(fma.f64 (pow.f64 t 4) 20 (fma.f64 4 (*.f64 t t) (fma.f64 -8 (pow.f64 t 3) 1))) |
(fma.f64 (*.f64 t t) (fma.f64 t -8 4) (fma.f64 (pow.f64 t 4) 20 1)) |
(exp.f64 4) |
(+.f64 (*.f64 -8 (/.f64 (exp.f64 4) t)) (exp.f64 4)) |
(fma.f64 -8 (/.f64 (exp.f64 4) t) (exp.f64 4)) |
(*.f64 (+.f64 (/.f64 -8 t) 1) (exp.f64 4)) |
(+.f64 (*.f64 -8 (/.f64 (exp.f64 4) t)) (+.f64 (exp.f64 4) (*.f64 44 (/.f64 (exp.f64 4) (pow.f64 t 2))))) |
(+.f64 (fma.f64 -8 (/.f64 (exp.f64 4) t) (exp.f64 4)) (*.f64 44 (/.f64 (exp.f64 4) (*.f64 t t)))) |
(fma.f64 -8 (/.f64 (exp.f64 4) t) (fma.f64 44 (/.f64 (exp.f64 4) (*.f64 t t)) (exp.f64 4))) |
(+.f64 (exp.f64 4) (*.f64 (/.f64 (exp.f64 4) t) (+.f64 (/.f64 44 t) -8))) |
(fma.f64 (/.f64 (exp.f64 4) t) (+.f64 -8 (/.f64 44 t)) (exp.f64 4)) |
(+.f64 (*.f64 -8 (/.f64 (exp.f64 4) t)) (+.f64 (exp.f64 4) (+.f64 (*.f64 -592/3 (/.f64 (exp.f64 4) (pow.f64 t 3))) (*.f64 44 (/.f64 (exp.f64 4) (pow.f64 t 2)))))) |
(+.f64 (fma.f64 -8 (/.f64 (exp.f64 4) t) (exp.f64 4)) (fma.f64 -592/3 (/.f64 (exp.f64 4) (pow.f64 t 3)) (*.f64 44 (/.f64 (exp.f64 4) (*.f64 t t))))) |
(+.f64 (fma.f64 -8 (/.f64 (exp.f64 4) t) (exp.f64 4)) (fma.f64 -592/3 (/.f64 (exp.f64 4) (pow.f64 t 3)) (/.f64 44 (/.f64 (*.f64 t t) (exp.f64 4))))) |
(+.f64 (exp.f64 4) (fma.f64 -8 (/.f64 (exp.f64 4) t) (*.f64 (/.f64 (exp.f64 4) (*.f64 t t)) (+.f64 44 (/.f64 -592/3 t))))) |
(+.f64 (exp.f64 4) (*.f64 (/.f64 (exp.f64 4) t) (+.f64 (/.f64 -592/3 (*.f64 t t)) (+.f64 -8 (/.f64 44 t))))) |
(+.f64 (exp.f64 4) (*.f64 (/.f64 (exp.f64 4) t) (+.f64 -8 (+.f64 (/.f64 44 t) (/.f64 -592/3 (*.f64 t t)))))) |
(exp.f64 4) |
(+.f64 (*.f64 -8 (/.f64 (exp.f64 4) t)) (exp.f64 4)) |
(fma.f64 -8 (/.f64 (exp.f64 4) t) (exp.f64 4)) |
(*.f64 (+.f64 (/.f64 -8 t) 1) (exp.f64 4)) |
(+.f64 (*.f64 -8 (/.f64 (exp.f64 4) t)) (+.f64 (exp.f64 4) (*.f64 44 (/.f64 (exp.f64 4) (pow.f64 t 2))))) |
(+.f64 (fma.f64 -8 (/.f64 (exp.f64 4) t) (exp.f64 4)) (*.f64 44 (/.f64 (exp.f64 4) (*.f64 t t)))) |
(fma.f64 -8 (/.f64 (exp.f64 4) t) (fma.f64 44 (/.f64 (exp.f64 4) (*.f64 t t)) (exp.f64 4))) |
(+.f64 (exp.f64 4) (*.f64 (/.f64 (exp.f64 4) t) (+.f64 (/.f64 44 t) -8))) |
(fma.f64 (/.f64 (exp.f64 4) t) (+.f64 -8 (/.f64 44 t)) (exp.f64 4)) |
(+.f64 (*.f64 -8 (/.f64 (exp.f64 4) t)) (+.f64 (exp.f64 4) (+.f64 (*.f64 -592/3 (/.f64 (exp.f64 4) (pow.f64 t 3))) (*.f64 44 (/.f64 (exp.f64 4) (pow.f64 t 2)))))) |
(+.f64 (fma.f64 -8 (/.f64 (exp.f64 4) t) (exp.f64 4)) (fma.f64 -592/3 (/.f64 (exp.f64 4) (pow.f64 t 3)) (*.f64 44 (/.f64 (exp.f64 4) (*.f64 t t))))) |
(+.f64 (fma.f64 -8 (/.f64 (exp.f64 4) t) (exp.f64 4)) (fma.f64 -592/3 (/.f64 (exp.f64 4) (pow.f64 t 3)) (/.f64 44 (/.f64 (*.f64 t t) (exp.f64 4))))) |
(+.f64 (exp.f64 4) (fma.f64 -8 (/.f64 (exp.f64 4) t) (*.f64 (/.f64 (exp.f64 4) (*.f64 t t)) (+.f64 44 (/.f64 -592/3 t))))) |
(+.f64 (exp.f64 4) (*.f64 (/.f64 (exp.f64 4) t) (+.f64 (/.f64 -592/3 (*.f64 t t)) (+.f64 -8 (/.f64 44 t))))) |
(+.f64 (exp.f64 4) (*.f64 (/.f64 (exp.f64 4) t) (+.f64 -8 (+.f64 (/.f64 44 t) (/.f64 -592/3 (*.f64 t t)))))) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 4 (*.f64 t t)) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))) |
(fma.f64 -8 (pow.f64 t 3) (*.f64 4 (*.f64 t t))) |
(fma.f64 4 (*.f64 t t) (*.f64 -8 (pow.f64 t 3))) |
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))) |
(*.f64 (*.f64 t 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 12 (pow.f64 t 4) (*.f64 4 (*.f64 t t)))) |
(fma.f64 12 (pow.f64 t 4) (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))) |
(fma.f64 (*.f64 t t) (fma.f64 t -8 4) (*.f64 12 (pow.f64 t 4))) |
(+.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 4 (*.f64 t t))))) |
(fma.f64 -16 (pow.f64 t 5) (fma.f64 12 (pow.f64 t 4) (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))))) |
(fma.f64 t (*.f64 t (fma.f64 t -8 4)) (fma.f64 12 (pow.f64 t 4) (*.f64 -16 (pow.f64 t 5)))) |
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 4 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t))) |
(+.f64 (-.f64 4 (/.f64 8 t)) (/.f64 12 (*.f64 t t))) |
(-.f64 4 (-.f64 (/.f64 8 t) (/.f64 12 (*.f64 t 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 12 (*.f64 t t)) (-.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 16 (pow.f64 t 3)))) |
(+.f64 4 (+.f64 (/.f64 -8 t) (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 16 (pow.f64 t 3))))) |
(+.f64 4 (-.f64 (/.f64 -16 (pow.f64 t 3)) (-.f64 (/.f64 8 t) (/.f64 12 (*.f64 t t))))) |
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 4 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t))) |
(+.f64 (-.f64 4 (/.f64 8 t)) (/.f64 12 (*.f64 t t))) |
(-.f64 4 (-.f64 (/.f64 8 t) (/.f64 12 (*.f64 t 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 12 (*.f64 t t)) (-.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 16 (pow.f64 t 3)))) |
(+.f64 4 (+.f64 (/.f64 -8 t) (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 16 (pow.f64 t 3))))) |
(+.f64 4 (-.f64 (/.f64 -16 (pow.f64 t 3)) (-.f64 (/.f64 8 t) (/.f64 12 (*.f64 t t))))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 5/6 (/.f64 -2/9 t)) |
| ✓ | 0.3b | (/.f64 -2/9 t) |
Compiled 12 to 9 computations (25% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | 0 | (/.f64 -2/9 t) |
| 1.0ms | t | @ | 0 | (+.f64 5/6 (/.f64 -2/9 t)) |
| 1.0ms | t | @ | inf | (/.f64 -2/9 t) |
| 1.0ms | t | @ | -inf | (/.f64 -2/9 t) |
| 0.0ms | t | @ | -inf | (+.f64 5/6 (/.f64 -2/9 t)) |
| 1× | batch-egg-rewrite |
| 708× | pow1_binary64 |
| 673× | add-log-exp_binary64 |
| 673× | log1p-expm1-u_binary64 |
| 673× | expm1-log1p-u_binary64 |
| 663× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 11 |
| 1 | 139 | 11 |
| 2 | 1759 | 11 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -2/9 t) |
(+.f64 5/6 (/.f64 -2/9 t)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -2/9 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2/9 (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2/9 t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -2/9 t)) (pow.f64 (cbrt.f64 (/.f64 -2/9 t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -2/9 t)) 2) (cbrt.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -2/9 t)) (sqrt.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/9 (/.f64 1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) -2/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -2/9 t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -2/9 t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -2/9 t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -2/9 t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t -9/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -2/9 t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -2/9 t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -2/9 t))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 25/36 (-.f64 5/6 (/.f64 -2/9 t))) (/.f64 (pow.f64 (/.f64 -2/9 t) 2) (-.f64 5/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -2/9 t) 5/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 -2/9 t) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 2) (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 125/216 (pow.f64 (/.f64 -2/9 t) 3)) (/.f64 1 (+.f64 25/36 (-.f64 (pow.f64 (/.f64 -2/9 t) 2) (/.f64 -5/27 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 25/36 (pow.f64 (/.f64 -2/9 t) 2)) (/.f64 1 (-.f64 5/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 25/36 (-.f64 (pow.f64 (/.f64 -2/9 t) 2) (/.f64 -5/27 t))) (+.f64 125/216 (pow.f64 (/.f64 -2/9 t) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 5/6 (/.f64 -2/9 t)) (-.f64 25/36 (pow.f64 (/.f64 -2/9 t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 125/216 (pow.f64 (/.f64 -2/9 t) 3)) (+.f64 25/36 (-.f64 (pow.f64 (/.f64 -2/9 t) 2) (/.f64 -5/27 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 125/216 (pow.f64 (/.f64 -2/9 t) 3)) (+.f64 (pow.f64 (/.f64 -2/9 t) 2) (-.f64 25/36 (/.f64 -5/27 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 25/36 (pow.f64 (/.f64 -2/9 t) 2)) (-.f64 5/6 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 125/216 (pow.f64 (/.f64 -2/9 t) 3))) (neg.f64 (+.f64 25/36 (-.f64 (pow.f64 (/.f64 -2/9 t) 2) (/.f64 -5/27 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 25/36 (pow.f64 (/.f64 -2/9 t) 2))) (neg.f64 (-.f64 5/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 -2/9 t) 2) 25/36) (-.f64 (/.f64 -2/9 t) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2/9 (/.f64 1 t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -2/9 t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -2/9 t)) 2) (cbrt.f64 (/.f64 -2/9 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -2/9 t)) (sqrt.f64 (/.f64 -2/9 t)) 5/6))))) |
| 1× | egg-herbie |
| 16× | fma-def_binary64 |
| 11× | sub-neg_binary64 |
| 6× | +-commutative_binary64 |
| 4× | *-commutative_binary64 |
| 4× | associate-+l-_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 69 |
| 1 | 20 | 69 |
| 2 | 31 | 69 |
| 3 | 47 | 69 |
| 4 | 62 | 69 |
| 5 | 80 | 69 |
| 6 | 98 | 69 |
| 7 | 113 | 69 |
| 8 | 120 | 69 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 -2/9 t) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
5/6 |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
5/6 |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
| Outputs |
|---|
(/.f64 -2/9 t) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (/.f64 2/9 t)) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (/.f64 2/9 t)) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (/.f64 2/9 t)) |
(+.f64 5/6 (/.f64 -2/9 t)) |
5/6 |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (/.f64 2/9 t)) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (/.f64 2/9 t)) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (/.f64 2/9 t)) |
(+.f64 5/6 (/.f64 -2/9 t)) |
5/6 |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (/.f64 2/9 t)) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (/.f64 2/9 t)) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (/.f64 2/9 t)) |
(+.f64 5/6 (/.f64 -2/9 t)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 (*.f64 2 t) (+.f64 1 t)) | |
| ✓ | 0.0b | (*.f64 4 (*.f64 t t)) |
| 0.0b | (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))) | |
| ✓ | 0.1b | (/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
Compiled 90 to 62 computations (31.1% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | inf | (/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
| 1.0ms | t | @ | 0 | (*.f64 4 (*.f64 t t)) |
| 1.0ms | t | @ | inf | (*.f64 4 (*.f64 t t)) |
| 1.0ms | t | @ | 0 | (/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
| 1.0ms | t | @ | -inf | (/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
| 1× | batch-egg-rewrite |
| 778× | log-prod_binary64 |
| 454× | fma-def_binary64 |
| 271× | log-div_binary64 |
| 260× | expm1-udef_binary64 |
| 260× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 35 |
| 1 | 319 | 33 |
| 2 | 4714 | 33 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
(*.f64 4 (*.f64 t t)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (fma.f64 t (*.f64 t 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (fma.f64 t (*.f64 t 4) 2)))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (fma.f64 t (*.f64 t 4) 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (fma.f64 t (*.f64 t 4) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (fma.f64 t (*.f64 t 4) 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (fma.f64 t (*.f64 t 4) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (fma.f64 t (*.f64 t 4) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (fma.f64 t (*.f64 t 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (/.f64 1 (fma.f64 t (*.f64 t 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (fma.f64 t (*.f64 t 4) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (fma.f64 t (*.f64 t 4) 2))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (fma.f64 t (*.f64 t 4) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (fma.f64 t (*.f64 t 4) 2))) 2) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2)) 2) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2)) (/.f64 1 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) (sqrt.f64 (fma.f64 t (*.f64 t 4) 2))) (/.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) (sqrt.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) (*.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) (/.f64 1 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2)) (/.f64 1 (neg.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 t (*.f64 t 4) 2)) (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2)) 2) 1) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2)) (fma.f64 t (*.f64 t 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 1) (/.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) (fma.f64 t (*.f64 t 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 t (*.f64 t 4) 2) 2))) (/.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (cbrt.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2)) 2) (cbrt.f64 (pow.f64 (fma.f64 t (*.f64 t 4) 2) 2))) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) (cbrt.f64 (pow.f64 (fma.f64 t (*.f64 t 4) 2) 2))) (/.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) (cbrt.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 t (*.f64 t 4) 2))) (/.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (sqrt.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2)) 2) (sqrt.f64 (fma.f64 t (*.f64 t 4) 2))) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2)) (sqrt.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (fma.f64 (pow.f64 (*.f64 t t) 3) 64 8)) (fma.f64 (*.f64 t (*.f64 t 4)) (fma.f64 t (*.f64 t 4) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (-.f64 4 (*.f64 (pow.f64 t 4) 16))) (+.f64 2 (*.f64 -4 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (fma.f64 t (*.f64 t 4) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (fma.f64 t (*.f64 t 4) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (fma.f64 t (*.f64 t 4) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) (sqrt.f64 (fma.f64 t (*.f64 t 4) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 t (*.f64 t 4) 2) (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (neg.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (fma.f64 t (*.f64 t 4) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (fma.f64 t (*.f64 t 4) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (fma.f64 t (*.f64 t 4) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) 3) (pow.f64 (fma.f64 t (*.f64 t 4) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (pow.f64 (*.f64 (/.f64 2 (+.f64 1 t)) t) 2)) (log.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 (*.f64 (/.f64 2 (+.f64 1 t)) t) 2)) (log.f64 (fma.f64 t (*.f64 t 4) 2))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 t (*.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 t) t) 4)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 t) t) 4)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 t) t) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 t) t) 4))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 t) t) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 t (*.f64 t 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 t t) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (*.f64 t 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 t (*.f64 t 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 t t) 3) 64) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 t 4) 16))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 t) t) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 t (*.f64 t 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 t t) 3) 64))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t (*.f64 t 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t (*.f64 t 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (+.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 t t))) 1)))))) |
| 1× | egg-herbie |
| 589× | times-frac_binary64 |
| 365× | associate-/l/_binary64 |
| 344× | fma-def_binary64 |
| 310× | associate-*l/_binary64 |
| 303× | associate-*r/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 291 |
| 1 | 104 | 289 |
| 2 | 260 | 285 |
| 3 | 708 | 285 |
| 4 | 2403 | 285 |
| 5 | 7117 | 285 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (pow.f64 t 2)) |
(+.f64 1/2 (+.f64 (*.f64 -4 (pow.f64 t 3)) (pow.f64 t 2))) |
(+.f64 1/2 (+.f64 (*.f64 4 (pow.f64 t 4)) (+.f64 (*.f64 -4 (pow.f64 t 3)) (pow.f64 t 2)))) |
(/.f64 5/4 (pow.f64 t 2)) |
(-.f64 (*.f64 5/4 (/.f64 1 (pow.f64 t 2))) (*.f64 2 (/.f64 1 (pow.f64 t 3)))) |
(-.f64 (+.f64 (*.f64 5/4 (/.f64 1 (pow.f64 t 2))) (*.f64 19/8 (/.f64 1 (pow.f64 t 4)))) (*.f64 2 (/.f64 1 (pow.f64 t 3)))) |
(-.f64 (+.f64 (*.f64 5/4 (/.f64 1 (pow.f64 t 2))) (*.f64 19/8 (/.f64 1 (pow.f64 t 4)))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 t 5))) (*.f64 2 (/.f64 1 (pow.f64 t 3))))) |
(/.f64 5/4 (pow.f64 t 2)) |
(-.f64 (*.f64 5/4 (/.f64 1 (pow.f64 t 2))) (*.f64 2 (/.f64 1 (pow.f64 t 3)))) |
(-.f64 (+.f64 (*.f64 5/4 (/.f64 1 (pow.f64 t 2))) (*.f64 19/8 (/.f64 1 (pow.f64 t 4)))) (*.f64 2 (/.f64 1 (pow.f64 t 3)))) |
(-.f64 (+.f64 (*.f64 5/4 (/.f64 1 (pow.f64 t 2))) (*.f64 19/8 (/.f64 1 (pow.f64 t 4)))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 t 5))) (*.f64 2 (/.f64 1 (pow.f64 t 3))))) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 4 (pow.f64 t 2)) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (pow.f64 t 2)) |
(+.f64 1/2 (*.f64 t t)) |
(fma.f64 t t 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -4 (pow.f64 t 3)) (pow.f64 t 2))) |
(+.f64 1/2 (fma.f64 -4 (pow.f64 t 3) (*.f64 t t))) |
(+.f64 1/2 (fma.f64 t t (*.f64 -4 (pow.f64 t 3)))) |
(fma.f64 t t (fma.f64 -4 (pow.f64 t 3) 1/2)) |
(fma.f64 t (fma.f64 (*.f64 t t) -4 t) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 4 (pow.f64 t 4)) (+.f64 (*.f64 -4 (pow.f64 t 3)) (pow.f64 t 2)))) |
(+.f64 1/2 (fma.f64 4 (pow.f64 t 4) (fma.f64 -4 (pow.f64 t 3) (*.f64 t t)))) |
(+.f64 1/2 (fma.f64 4 (pow.f64 t 4) (fma.f64 t t (*.f64 -4 (pow.f64 t 3))))) |
(fma.f64 4 (pow.f64 t 4) (fma.f64 t t (fma.f64 -4 (pow.f64 t 3) 1/2))) |
(fma.f64 t t (fma.f64 4 (pow.f64 t 4) (fma.f64 -4 (pow.f64 t 3) 1/2))) |
(fma.f64 t t (fma.f64 -4 (pow.f64 t 3) (fma.f64 4 (pow.f64 t 4) 1/2))) |
(/.f64 5/4 (pow.f64 t 2)) |
(/.f64 5/4 (*.f64 t t)) |
(-.f64 (*.f64 5/4 (/.f64 1 (pow.f64 t 2))) (*.f64 2 (/.f64 1 (pow.f64 t 3)))) |
(-.f64 (/.f64 5/4 (*.f64 t t)) (/.f64 2 (pow.f64 t 3))) |
(+.f64 (/.f64 5/4 (*.f64 t t)) (/.f64 -2 (pow.f64 t 3))) |
(*.f64 (/.f64 1 (*.f64 t t)) (+.f64 (/.f64 -2 t) 5/4)) |
(-.f64 (+.f64 (*.f64 5/4 (/.f64 1 (pow.f64 t 2))) (*.f64 19/8 (/.f64 1 (pow.f64 t 4)))) (*.f64 2 (/.f64 1 (pow.f64 t 3)))) |
(+.f64 (/.f64 5/4 (*.f64 t t)) (-.f64 (/.f64 19/8 (pow.f64 t 4)) (/.f64 2 (pow.f64 t 3)))) |
(+.f64 (/.f64 5/4 (*.f64 t t)) (+.f64 (/.f64 19/8 (pow.f64 t 4)) (/.f64 -2 (pow.f64 t 3)))) |
(+.f64 (*.f64 (/.f64 1 (*.f64 t t)) (+.f64 (/.f64 -2 t) 5/4)) (/.f64 19/8 (pow.f64 t 4))) |
(+.f64 (/.f64 5/4 (*.f64 t t)) (*.f64 (/.f64 -1 (pow.f64 t 3)) (-.f64 2 (/.f64 19/8 t)))) |
(-.f64 (+.f64 (*.f64 5/4 (/.f64 1 (pow.f64 t 2))) (*.f64 19/8 (/.f64 1 (pow.f64 t 4)))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 t 5))) (*.f64 2 (/.f64 1 (pow.f64 t 3))))) |
(-.f64 (+.f64 (/.f64 5/4 (*.f64 t t)) (/.f64 19/8 (pow.f64 t 4))) (+.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 3 (pow.f64 t 5)))) |
(+.f64 (/.f64 5/4 (*.f64 t t)) (-.f64 (-.f64 (/.f64 19/8 (pow.f64 t 4)) (/.f64 2 (pow.f64 t 3))) (/.f64 3 (pow.f64 t 5)))) |
(+.f64 (/.f64 5/4 (*.f64 t t)) (+.f64 (/.f64 19/8 (pow.f64 t 4)) (+.f64 (/.f64 -2 (pow.f64 t 3)) (/.f64 -3 (pow.f64 t 5))))) |
(/.f64 5/4 (pow.f64 t 2)) |
(/.f64 5/4 (*.f64 t t)) |
(-.f64 (*.f64 5/4 (/.f64 1 (pow.f64 t 2))) (*.f64 2 (/.f64 1 (pow.f64 t 3)))) |
(-.f64 (/.f64 5/4 (*.f64 t t)) (/.f64 2 (pow.f64 t 3))) |
(+.f64 (/.f64 5/4 (*.f64 t t)) (/.f64 -2 (pow.f64 t 3))) |
(*.f64 (/.f64 1 (*.f64 t t)) (+.f64 (/.f64 -2 t) 5/4)) |
(-.f64 (+.f64 (*.f64 5/4 (/.f64 1 (pow.f64 t 2))) (*.f64 19/8 (/.f64 1 (pow.f64 t 4)))) (*.f64 2 (/.f64 1 (pow.f64 t 3)))) |
(+.f64 (/.f64 5/4 (*.f64 t t)) (-.f64 (/.f64 19/8 (pow.f64 t 4)) (/.f64 2 (pow.f64 t 3)))) |
(+.f64 (/.f64 5/4 (*.f64 t t)) (+.f64 (/.f64 19/8 (pow.f64 t 4)) (/.f64 -2 (pow.f64 t 3)))) |
(+.f64 (*.f64 (/.f64 1 (*.f64 t t)) (+.f64 (/.f64 -2 t) 5/4)) (/.f64 19/8 (pow.f64 t 4))) |
(+.f64 (/.f64 5/4 (*.f64 t t)) (*.f64 (/.f64 -1 (pow.f64 t 3)) (-.f64 2 (/.f64 19/8 t)))) |
(-.f64 (+.f64 (*.f64 5/4 (/.f64 1 (pow.f64 t 2))) (*.f64 19/8 (/.f64 1 (pow.f64 t 4)))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 t 5))) (*.f64 2 (/.f64 1 (pow.f64 t 3))))) |
(-.f64 (+.f64 (/.f64 5/4 (*.f64 t t)) (/.f64 19/8 (pow.f64 t 4))) (+.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 3 (pow.f64 t 5)))) |
(+.f64 (/.f64 5/4 (*.f64 t t)) (-.f64 (-.f64 (/.f64 19/8 (pow.f64 t 4)) (/.f64 2 (pow.f64 t 3))) (/.f64 3 (pow.f64 t 5)))) |
(+.f64 (/.f64 5/4 (*.f64 t t)) (+.f64 (/.f64 19/8 (pow.f64 t 4)) (+.f64 (/.f64 -2 (pow.f64 t 3)) (/.f64 -3 (pow.f64 t 5))))) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 (*.f64 t t) 4) |
(*.f64 t (*.f64 t 4)) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 (*.f64 t t) 4) |
(*.f64 t (*.f64 t 4)) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 (*.f64 t t) 4) |
(*.f64 t (*.f64 t 4)) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 (*.f64 t t) 4) |
(*.f64 t (*.f64 t 4)) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 (*.f64 t t) 4) |
(*.f64 t (*.f64 t 4)) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 (*.f64 t t) 4) |
(*.f64 t (*.f64 t 4)) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 (*.f64 t t) 4) |
(*.f64 t (*.f64 t 4)) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 (*.f64 t t) 4) |
(*.f64 t (*.f64 t 4)) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 (*.f64 t t) 4) |
(*.f64 t (*.f64 t 4)) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 (*.f64 t t) 4) |
(*.f64 t (*.f64 t 4)) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 (*.f64 t t) 4) |
(*.f64 t (*.f64 t 4)) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 (*.f64 t t) 4) |
(*.f64 t (*.f64 t 4)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (+.f64 2 (/.f64 -2 t))))) |
| ✓ | 0.0b | (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (+.f64 2 (/.f64 -2 t)))) |
| 0.0b | (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))) | |
| ✓ | 0.1b | (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (+.f64 2 (/.f64 -2 t))) |
Compiled 119 to 91 computations (23.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | inf | (/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (+.f64 2 (/.f64 -2 t))))) |
| 1.0ms | t | @ | 0 | (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (+.f64 2 (/.f64 -2 t))) |
| 0.0ms | t | @ | inf | (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (+.f64 2 (/.f64 -2 t))) |
| 0.0ms | t | @ | -inf | (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (+.f64 2 (/.f64 -2 t))) |
| 0.0ms | t | @ | 0 | (/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (+.f64 2 (/.f64 -2 t))))) |
| 1× | batch-egg-rewrite |
| 557× | fma-def_binary64 |
| 314× | expm1-udef_binary64 |
| 314× | log1p-udef_binary64 |
| 276× | fma-neg_binary64 |
| 250× | log-pow_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 81 |
| 1 | 362 | 77 |
| 2 | 5745 | 77 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (+.f64 2 (/.f64 -2 t))) |
(+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (+.f64 2 (/.f64 -2 t)))) |
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (+.f64 2 (/.f64 -2 t))))) |
| Outputs |
|---|
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2 (/.f64 -2 t)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2)) (log.f64 (fma.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) (+.f64 2 (/.f64 -2 t)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2)) (log.f64 (fma.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) (+.f64 2 (/.f64 -2 t)) 2))) 1)))))) |
| 1× | egg-herbie |
| 728× | fma-def_binary64 |
| 669× | times-frac_binary64 |
| 462× | associate-*l/_binary64 |
| 433× | associate-/l/_binary64 |
| 306× | sub-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 417 |
| 1 | 180 | 405 |
| 2 | 469 | 403 |
| 3 | 1346 | 387 |
| 4 | 3985 | 387 |
| 1× | node limit |
| Inputs |
|---|
-4 |
(-.f64 (*.f64 8 t) 4) |
(-.f64 (+.f64 (*.f64 8 t) (*.f64 -8 (pow.f64 t 2))) 4) |
(-.f64 (+.f64 (*.f64 8 (pow.f64 t 3)) (+.f64 (*.f64 8 t) (*.f64 -8 (pow.f64 t 2)))) 4) |
4 |
(-.f64 4 (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 4 (*.f64 8 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 4 (*.f64 8 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t)))) |
4 |
(-.f64 4 (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 4 (*.f64 8 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 4 (*.f64 8 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t)))) |
-2 |
(-.f64 (*.f64 8 t) 2) |
(-.f64 (+.f64 (*.f64 8 t) (*.f64 -8 (pow.f64 t 2))) 2) |
(-.f64 (+.f64 (*.f64 8 (pow.f64 t 3)) (+.f64 (*.f64 8 t) (*.f64 -8 (pow.f64 t 2)))) 2) |
6 |
(-.f64 6 (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 6 (*.f64 8 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 6 (*.f64 8 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t)))) |
6 |
(-.f64 6 (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 6 (*.f64 8 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 6 (*.f64 8 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t)))) |
-1/2 |
(-.f64 (*.f64 -2 t) 1/2) |
(-.f64 (+.f64 (*.f64 -2 t) (*.f64 -8 (pow.f64 t 2))) 1/2) |
(-.f64 (+.f64 (*.f64 -22 (pow.f64 t 3)) (+.f64 (*.f64 -2 t) (*.f64 -8 (pow.f64 t 2)))) 1/2) |
5/6 |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 5/6 (*.f64 16/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 5/6 (*.f64 16/27 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 38/81 (/.f64 1 (pow.f64 t 3))) (*.f64 2/9 (/.f64 1 t)))) |
5/6 |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 5/6 (*.f64 16/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 5/6 (*.f64 16/27 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 38/81 (/.f64 1 (pow.f64 t 3))) (*.f64 2/9 (/.f64 1 t)))) |
| Outputs |
|---|
-4 |
(-.f64 (*.f64 8 t) 4) |
(fma.f64 8 t -4) |
(-.f64 (+.f64 (*.f64 8 t) (*.f64 -8 (pow.f64 t 2))) 4) |
(+.f64 (fma.f64 8 t (*.f64 -8 (*.f64 t t))) -4) |
(fma.f64 8 t (fma.f64 -8 (*.f64 t t) -4)) |
(fma.f64 8 t (fma.f64 t (*.f64 t -8) -4)) |
(fma.f64 t (fma.f64 t -8 8) -4) |
(-.f64 (+.f64 (*.f64 8 (pow.f64 t 3)) (+.f64 (*.f64 8 t) (*.f64 -8 (pow.f64 t 2)))) 4) |
(+.f64 (fma.f64 8 (pow.f64 t 3) (fma.f64 8 t (*.f64 -8 (*.f64 t t)))) -4) |
(fma.f64 8 (pow.f64 t 3) (fma.f64 8 t (fma.f64 -8 (*.f64 t t) -4))) |
(fma.f64 8 (+.f64 t (pow.f64 t 3)) (fma.f64 t (*.f64 t -8) -4)) |
(fma.f64 t (fma.f64 t -8 8) (fma.f64 8 (pow.f64 t 3) -4)) |
(fma.f64 8 t (fma.f64 t (*.f64 t (fma.f64 8 t -8)) -4)) |
4 |
(-.f64 4 (*.f64 8 (/.f64 1 t))) |
(-.f64 4 (/.f64 8 t)) |
(+.f64 4 (/.f64 -8 t)) |
(-.f64 (+.f64 4 (*.f64 8 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 4 (/.f64 8 (*.f64 t t))) (/.f64 8 t)) |
(+.f64 4 (+.f64 (/.f64 8 (*.f64 t t)) (/.f64 -8 t))) |
(+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 8 (*.f64 t t))) |
(-.f64 4 (-.f64 (/.f64 8 t) (/.f64 8 (*.f64 t t)))) |
(+.f64 4 (*.f64 (/.f64 8 t) (+.f64 (/.f64 1 t) -1))) |
(-.f64 (+.f64 4 (*.f64 8 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t)))) |
(+.f64 4 (-.f64 (/.f64 8 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 8 (pow.f64 t 3))))) |
(+.f64 4 (-.f64 (+.f64 (/.f64 8 (*.f64 t t)) (/.f64 -8 t)) (/.f64 8 (pow.f64 t 3)))) |
(+.f64 4 (+.f64 (/.f64 8 (*.f64 t t)) (+.f64 (/.f64 -8 t) (/.f64 -8 (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 8 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 4 (/.f64 8 (*.f64 t t))) (/.f64 8 t)) |
(+.f64 4 (+.f64 (/.f64 8 (*.f64 t t)) (/.f64 -8 t))) |
(+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 8 (*.f64 t t))) |
(-.f64 4 (-.f64 (/.f64 8 t) (/.f64 8 (*.f64 t t)))) |
(+.f64 4 (*.f64 (/.f64 8 t) (+.f64 (/.f64 1 t) -1))) |
(-.f64 (+.f64 4 (*.f64 8 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t)))) |
(+.f64 4 (-.f64 (/.f64 8 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 8 (pow.f64 t 3))))) |
(+.f64 4 (-.f64 (+.f64 (/.f64 8 (*.f64 t t)) (/.f64 -8 t)) (/.f64 8 (pow.f64 t 3)))) |
(+.f64 4 (+.f64 (/.f64 8 (*.f64 t t)) (+.f64 (/.f64 -8 t) (/.f64 -8 (pow.f64 t 3))))) |
-2 |
(-.f64 (*.f64 8 t) 2) |
(fma.f64 8 t -2) |
(-.f64 (+.f64 (*.f64 8 t) (*.f64 -8 (pow.f64 t 2))) 2) |
(+.f64 (fma.f64 8 t (*.f64 -8 (*.f64 t t))) -2) |
(fma.f64 8 t (fma.f64 -8 (*.f64 t t) -2)) |
(fma.f64 8 t (fma.f64 t (*.f64 t -8) -2)) |
(fma.f64 t (fma.f64 t -8 8) -2) |
(-.f64 (+.f64 (*.f64 8 (pow.f64 t 3)) (+.f64 (*.f64 8 t) (*.f64 -8 (pow.f64 t 2)))) 2) |
(+.f64 (fma.f64 8 (pow.f64 t 3) (fma.f64 8 t (*.f64 -8 (*.f64 t t)))) -2) |
(fma.f64 8 (pow.f64 t 3) (fma.f64 8 t (fma.f64 -8 (*.f64 t t) -2))) |
(fma.f64 8 (+.f64 t (pow.f64 t 3)) (fma.f64 t (*.f64 t -8) -2)) |
(fma.f64 8 t (fma.f64 t (*.f64 t (fma.f64 8 t -8)) -2)) |
(fma.f64 8 (pow.f64 t 3) (fma.f64 t (fma.f64 t -8 8) -2)) |
6 |
(-.f64 6 (*.f64 8 (/.f64 1 t))) |
(-.f64 6 (/.f64 8 t)) |
(+.f64 6 (/.f64 -8 t)) |
(-.f64 (+.f64 6 (*.f64 8 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 (/.f64 8 (*.f64 t t)) 6) (/.f64 8 t)) |
(+.f64 (/.f64 8 (*.f64 t t)) (+.f64 6 (/.f64 -8 t))) |
(+.f64 6 (*.f64 (/.f64 8 t) (+.f64 (/.f64 1 t) -1))) |
(-.f64 (+.f64 6 (*.f64 8 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t)))) |
(-.f64 (+.f64 (/.f64 8 (*.f64 t t)) 6) (+.f64 (/.f64 8 t) (/.f64 8 (pow.f64 t 3)))) |
(+.f64 6 (-.f64 (+.f64 (/.f64 8 (*.f64 t t)) (/.f64 -8 t)) (/.f64 8 (pow.f64 t 3)))) |
(+.f64 (/.f64 8 (*.f64 t t)) (+.f64 6 (+.f64 (/.f64 -8 t) (/.f64 -8 (pow.f64 t 3))))) |
(+.f64 (/.f64 8 (*.f64 t t)) (-.f64 (/.f64 -8 t) (+.f64 (/.f64 8 (pow.f64 t 3)) -6))) |
(+.f64 (+.f64 6 (*.f64 (/.f64 8 t) (+.f64 (/.f64 1 t) -1))) (/.f64 -8 (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 8 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 (/.f64 8 (*.f64 t t)) 6) (/.f64 8 t)) |
(+.f64 (/.f64 8 (*.f64 t t)) (+.f64 6 (/.f64 -8 t))) |
(+.f64 6 (*.f64 (/.f64 8 t) (+.f64 (/.f64 1 t) -1))) |
(-.f64 (+.f64 6 (*.f64 8 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t)))) |
(-.f64 (+.f64 (/.f64 8 (*.f64 t t)) 6) (+.f64 (/.f64 8 t) (/.f64 8 (pow.f64 t 3)))) |
(+.f64 6 (-.f64 (+.f64 (/.f64 8 (*.f64 t t)) (/.f64 -8 t)) (/.f64 8 (pow.f64 t 3)))) |
(+.f64 (/.f64 8 (*.f64 t t)) (+.f64 6 (+.f64 (/.f64 -8 t) (/.f64 -8 (pow.f64 t 3))))) |
(+.f64 (/.f64 8 (*.f64 t t)) (-.f64 (/.f64 -8 t) (+.f64 (/.f64 8 (pow.f64 t 3)) -6))) |
(+.f64 (+.f64 6 (*.f64 (/.f64 8 t) (+.f64 (/.f64 1 t) -1))) (/.f64 -8 (pow.f64 t 3))) |
-1/2 |
(-.f64 (*.f64 -2 t) 1/2) |
(fma.f64 -2 t -1/2) |
(fma.f64 t -2 -1/2) |
(-.f64 (+.f64 (*.f64 -2 t) (*.f64 -8 (pow.f64 t 2))) 1/2) |
(+.f64 (fma.f64 -2 t (*.f64 -8 (*.f64 t t))) -1/2) |
(fma.f64 t -2 (fma.f64 -8 (*.f64 t t) -1/2)) |
(fma.f64 t (*.f64 t -8) (fma.f64 t -2 -1/2)) |
(fma.f64 t (fma.f64 t -8 -2) -1/2) |
(-.f64 (+.f64 (*.f64 -22 (pow.f64 t 3)) (+.f64 (*.f64 -2 t) (*.f64 -8 (pow.f64 t 2)))) 1/2) |
(+.f64 (fma.f64 -22 (pow.f64 t 3) (fma.f64 -2 t (*.f64 -8 (*.f64 t t)))) -1/2) |
(fma.f64 (pow.f64 t 3) -22 (fma.f64 t -2 (fma.f64 -8 (*.f64 t t) -1/2))) |
(fma.f64 (pow.f64 t 3) -22 (fma.f64 t (*.f64 t -8) (fma.f64 t -2 -1/2))) |
(fma.f64 t -2 (fma.f64 t (*.f64 t (fma.f64 t -22 -8)) -1/2)) |
5/6 |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (/.f64 2/9 t)) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 (+.f64 5/6 (*.f64 16/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 5/6 (/.f64 16/27 (*.f64 t t))) (/.f64 2/9 t)) |
(+.f64 (/.f64 16/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t))) |
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 16/27 (*.f64 t t))) |
(-.f64 (/.f64 16/27 (*.f64 t t)) (+.f64 (/.f64 2/9 t) -5/6)) |
(+.f64 5/6 (+.f64 (/.f64 16/27 (*.f64 t t)) (/.f64 -2/9 t))) |
(-.f64 (+.f64 5/6 (*.f64 16/27 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 38/81 (/.f64 1 (pow.f64 t 3))) (*.f64 2/9 (/.f64 1 t)))) |
(+.f64 5/6 (-.f64 (/.f64 16/27 (*.f64 t t)) (+.f64 (/.f64 2/9 t) (/.f64 38/81 (pow.f64 t 3))))) |
(+.f64 (+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 16/27 (*.f64 t t))) (/.f64 -38/81 (pow.f64 t 3))) |
(+.f64 (/.f64 16/27 (*.f64 t t)) (+.f64 5/6 (+.f64 (/.f64 -2/9 t) (/.f64 -38/81 (pow.f64 t 3))))) |
5/6 |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (/.f64 2/9 t)) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 (+.f64 5/6 (*.f64 16/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 5/6 (/.f64 16/27 (*.f64 t t))) (/.f64 2/9 t)) |
(+.f64 (/.f64 16/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t))) |
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 16/27 (*.f64 t t))) |
(-.f64 (/.f64 16/27 (*.f64 t t)) (+.f64 (/.f64 2/9 t) -5/6)) |
(+.f64 5/6 (+.f64 (/.f64 16/27 (*.f64 t t)) (/.f64 -2/9 t))) |
(-.f64 (+.f64 5/6 (*.f64 16/27 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 38/81 (/.f64 1 (pow.f64 t 3))) (*.f64 2/9 (/.f64 1 t)))) |
(+.f64 5/6 (-.f64 (/.f64 16/27 (*.f64 t t)) (+.f64 (/.f64 2/9 t) (/.f64 38/81 (pow.f64 t 3))))) |
(+.f64 (+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 16/27 (*.f64 t t))) (/.f64 -38/81 (pow.f64 t 3))) |
(+.f64 (/.f64 16/27 (*.f64 t t)) (+.f64 5/6 (+.f64 (/.f64 -2/9 t) (/.f64 -38/81 (pow.f64 t 3))))) |
Compiled 7 to 4 computations (42.9% saved)
Compiled 23080 to 18099 computations (21.6% saved)
12 alts after pruning (10 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 749 | 5 | 754 |
| Fresh | 1 | 5 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 3 | 1 | 4 |
| Total | 753 | 12 | 765 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.5b | (/.f64 (+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) 1)) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))) |
| ✓ | 30.1b | (+.f64 5/6 (/.f64 -2/9 t)) |
| 18.8b | (/.f64 (+.f64 1 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))) | |
| ▶ | 32.3b | (/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (*.f64 t 2))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
| ✓ | 32.8b | (fma.f64 t t 1/2) |
| ▶ | 18.2b | (/.f64 (+.f64 1 (log.f64 (exp.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2)))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))) |
| 30.1b | (+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))) | |
| ▶ | 30.5b | (/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
| 33.1b | (/.f64 (+.f64 1 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))) (+.f64 2 (*.f64 4 (*.f64 t t)))) | |
| 25.3b | 5/6 | |
| 27.1b | 1/2 | |
| ▶ | 30.1b | (+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)) |
Compiled 371 to 290 computations (21.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) 1)) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))) |
| 0.0b | (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))) | |
| ✓ | 0.5b | (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) |
| ✓ | 0.8b | (-.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) 1) |
Compiled 145 to 113 computations (22.1% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | t | @ | inf | (-.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) 1) |
| 1.0ms | t | @ | inf | (/.f64 (+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) 1)) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))) |
| 1.0ms | t | @ | -inf | (/.f64 (+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) 1)) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))) |
| 1.0ms | t | @ | -inf | (-.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) 1) |
| 1.0ms | t | @ | 0 | (-.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) 1) |
| 1× | batch-egg-rewrite |
| 524× | fma-def_binary64 |
| 357× | fma-neg_binary64 |
| 274× | log1p-udef_binary64 |
| 273× | expm1-udef_binary64 |
| 218× | log-pow_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 75 |
| 1 | 419 | 63 |
| 2 | 5936 | 57 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) 1) |
(pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) |
(/.f64 (+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) 1)) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 4 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 4 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 t (+.f64 1 t)) (*.f64 2 (/.f64 t (+.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 t (+.f64 1 t)) (*.f64 2 (*.f64 2 (/.f64 t (+.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 t) (*.f64 (/.f64 1 (+.f64 1 t)) (*.f64 2 (/.f64 t (+.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) (*.f64 2 (/.f64 t (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (*.f64 t t)) (*.f64 (/.f64 1 (+.f64 1 t)) (/.f64 1 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (*.f64 t t)) (pow.f64 (/.f64 1 (+.f64 1 t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (*.f64 t t)) (/.f64 1 (pow.f64 (+.f64 1 t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 4)) (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (cbrt.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (*.f64 (cbrt.f64 (*.f64 2 (/.f64 t (+.f64 1 t)))) (*.f64 2 (/.f64 t (+.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (/.f64 t (+.f64 1 t)))) (*.f64 (sqrt.f64 (*.f64 2 (/.f64 t (+.f64 1 t)))) (*.f64 2 (/.f64 t (+.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 6) -1) (/.f64 1 (+.f64 (+.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 4) 1) (fma.f64 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 4 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 4) -1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 4 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 1 t)) (/.f64 1 (+.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) (sqrt.f64 (*.f64 2 (/.f64 t (+.f64 1 t))))) (sqrt.f64 (*.f64 2 (/.f64 t (+.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 2 t) (hypot.f64 1 (sqrt.f64 t))) (/.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) (hypot.f64 1 (sqrt.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 2 t) 1) (/.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) (+.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 2 t) (pow.f64 (cbrt.f64 (+.f64 1 t)) 2)) (/.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) (cbrt.f64 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) (hypot.f64 1 (sqrt.f64 t))) (/.f64 (*.f64 2 t) (hypot.f64 1 (sqrt.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 1) (*.f64 2 (/.f64 t (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) (pow.f64 (cbrt.f64 (+.f64 1 t)) 2)) (/.f64 (*.f64 2 t) (cbrt.f64 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 1) (-.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 1 t)) (+.f64 1 (pow.f64 t 3))) (-.f64 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1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 4 1) (fma.f64 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 4 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 4 1) (fma.f64 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 4 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 4 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 4 2) (fma.f64 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 4 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 4 1) (neg.f64 (fma.f64 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 4 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 4 1) (fma.f64 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 4 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 4 1) (fma.f64 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 4 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 4 1) (fma.f64 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 4 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 4 1) (fma.f64 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 4 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 6) (pow.f64 (fma.f64 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 4 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 4 1) (fma.f64 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 4 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 4 1) (fma.f64 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 4 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 4 1) (fma.f64 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 4 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 4 1) (fma.f64 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 4 2))) 1)))))) |
| 1× | egg-herbie |
| 700× | fma-def_binary64 |
| 421× | associate-+l+_binary64 |
| 336× | associate-/r*_binary64 |
| 333× | associate--l+_binary64 |
| 264× | +-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 157 | 1398 |
| 1 | 514 | 837 |
| 2 | 1909 | 543 |
| 3 | 7845 | 543 |
| 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 (*.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))))) |
(-.f64 (pow.f64 (sqrt.f64 5) 2) 1) |
(-.f64 (pow.f64 (sqrt.f64 5) 2) (+.f64 1 (*.f64 8 (/.f64 1 t)))) |
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 1 (*.f64 8 (/.f64 1 t)))) |
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 16 (*.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 t 3))) (*.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (*.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 3))))))) (+.f64 1 (*.f64 8 (/.f64 1 t)))) |
(-.f64 (pow.f64 (sqrt.f64 5) 2) 1) |
(-.f64 (pow.f64 (sqrt.f64 5) 2) (+.f64 1 (*.f64 8 (/.f64 1 t)))) |
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 1 (*.f64 8 (/.f64 1 t)))) |
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 1 (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))) |
1 |
(+.f64 1 (*.f64 4 (pow.f64 t 2))) |
(+.f64 1 (+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))) |
(+.f64 1 (+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4))))) |
(pow.f64 (sqrt.f64 5) 2) |
(-.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 16 (*.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 t 3))) (*.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (*.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 3))))))) (*.f64 8 (/.f64 1 t))) |
(pow.f64 (sqrt.f64 5) 2) |
(-.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3))))) |
1/2 |
(+.f64 1/2 (pow.f64 t 2)) |
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2))) |
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (pow.f64 t 4) (pow.f64 t 2)))) |
(*.f64 1/6 (pow.f64 (sqrt.f64 5) 2)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 4/3 (*.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 4/3 (*.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (+.f64 (*.f64 1/6 (/.f64 (-.f64 (+.f64 12 (*.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 t 2))) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2)))) (+.f64 (*.f64 4/3 (/.f64 (+.f64 4/3 (*.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 t 2))) (*.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 2))))) |
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (-.f64 (+.f64 12 (*.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 t 2))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -1 (+.f64 16 (*.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2))))) (*.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 t 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 4/3 (*.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2))))) (+.f64 (*.f64 -2 (/.f64 (+.f64 4/3 (*.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 t 3))) (+.f64 (*.f64 -4/3 (/.f64 (-.f64 (*.f64 1/6 (-.f64 (+.f64 12 (*.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2))) (+.f64 (*.f64 4/3 (+.f64 4/3 (*.f64 -2/9 (pow.f64 (sqrt.f64 5) 2)))) (*.f64 1/3 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 t 3))) (+.f64 (*.f64 4/3 (/.f64 (+.f64 4/3 (*.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 t 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 2))) (*.f64 -4/9 (/.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 3)))))))) |
(*.f64 1/6 (pow.f64 (sqrt.f64 5) 2)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 4/3 (*.f64 2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 4/3 (*.f64 2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (+.f64 (*.f64 1/6 (/.f64 (-.f64 (+.f64 12 (*.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 4 (sqrt.f64 5)) 2)) (pow.f64 t 2))) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2)))) (+.f64 (*.f64 4/3 (/.f64 (-.f64 4/3 (*.f64 2/9 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 t 2))) (*.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 2))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 4/3 (*.f64 2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (+.f64 (*.f64 -1 (/.f64 (-.f64 8/3 (+.f64 (*.f64 2 (-.f64 4/3 (*.f64 2/9 (pow.f64 (sqrt.f64 5) 2)))) (+.f64 (*.f64 4/3 (-.f64 (*.f64 1/6 (-.f64 (+.f64 12 (*.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 4 (sqrt.f64 5)) 2))) (+.f64 (*.f64 4/3 (-.f64 4/3 (*.f64 2/9 (pow.f64 (sqrt.f64 5) 2)))) (*.f64 1/3 (pow.f64 (sqrt.f64 5) 2))))) (*.f64 4/9 (pow.f64 (sqrt.f64 5) 2))))) (pow.f64 t 3))) (+.f64 (*.f64 1/6 (/.f64 (-.f64 (+.f64 12 (*.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 4 (sqrt.f64 5)) 2)) (pow.f64 t 2))) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2))))) (+.f64 (*.f64 4/3 (/.f64 (-.f64 4/3 (*.f64 2/9 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 t 2))) (*.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (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))) |
(*.f64 (*.f64 t 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 4 (*.f64 t t) (*.f64 12 (pow.f64 t 4)))) |
(fma.f64 12 (pow.f64 t 4) (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))) |
(+.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 4 (*.f64 t t) (*.f64 12 (pow.f64 t 4))))) |
(fma.f64 -16 (pow.f64 t 5) (fma.f64 12 (pow.f64 t 4) (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))))) |
(-.f64 (pow.f64 (sqrt.f64 5) 2) 1) |
(+.f64 (pow.f64 (sqrt.f64 5) 2) -1) |
4 |
(-.f64 (pow.f64 (sqrt.f64 5) 2) (+.f64 1 (*.f64 8 (/.f64 1 t)))) |
(-.f64 (pow.f64 (sqrt.f64 5) 2) (+.f64 1 (/.f64 8 t))) |
(+.f64 4 (/.f64 -8 t)) |
(-.f64 4 (/.f64 8 t)) |
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 1 (*.f64 8 (/.f64 1 t)))) |
(+.f64 (pow.f64 (sqrt.f64 5) 2) (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 1 (/.f64 8 t)))) |
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 4 (/.f64 -8 t))) |
(+.f64 (-.f64 4 (/.f64 8 t)) (/.f64 12 (*.f64 t t))) |
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 16 (*.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 t 3))) (*.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (*.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 3))))))) (+.f64 1 (*.f64 8 (/.f64 1 t)))) |
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (+.f64 (/.f64 12 (*.f64 t t)) (fma.f64 -1 (/.f64 (+.f64 16 (*.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 t 3)) (*.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (*.f64 (pow.f64 t 3) (pow.f64 (sqrt.f64 5) 2))))))) (+.f64 1 (/.f64 8 t))) |
(+.f64 (+.f64 (/.f64 12 (*.f64 t t)) (-.f64 (*.f64 -4/5 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 t 3))) (/.f64 (fma.f64 -4 (-.f64 12/5 (/.f64 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2) 5)) 16) (pow.f64 t 3)))) (+.f64 4 (/.f64 -8 t))) |
(+.f64 (-.f64 4 (/.f64 8 t)) (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -16 (pow.f64 t 3)))) |
(-.f64 (pow.f64 (sqrt.f64 5) 2) 1) |
(+.f64 (pow.f64 (sqrt.f64 5) 2) -1) |
4 |
(-.f64 (pow.f64 (sqrt.f64 5) 2) (+.f64 1 (*.f64 8 (/.f64 1 t)))) |
(-.f64 (pow.f64 (sqrt.f64 5) 2) (+.f64 1 (/.f64 8 t))) |
(+.f64 4 (/.f64 -8 t)) |
(-.f64 4 (/.f64 8 t)) |
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 1 (*.f64 8 (/.f64 1 t)))) |
(+.f64 (pow.f64 (sqrt.f64 5) 2) (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 1 (/.f64 8 t)))) |
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 4 (/.f64 -8 t))) |
(+.f64 (-.f64 4 (/.f64 8 t)) (/.f64 12 (*.f64 t t))) |
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 1 (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))) |
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (+.f64 (/.f64 12 (*.f64 t t)) (fma.f64 -1 (/.f64 (+.f64 16 (*.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 t 3)) (*.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (*.f64 (pow.f64 t 3) (pow.f64 (sqrt.f64 5) 2))))))) (+.f64 1 (/.f64 8 t))) |
(+.f64 (+.f64 (/.f64 12 (*.f64 t t)) (-.f64 (*.f64 -4/5 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 t 3))) (/.f64 (fma.f64 -4 (-.f64 12/5 (/.f64 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2) 5)) 16) (pow.f64 t 3)))) (+.f64 4 (/.f64 -8 t))) |
(+.f64 (-.f64 4 (/.f64 8 t)) (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -16 (pow.f64 t 3)))) |
1 |
(+.f64 1 (*.f64 4 (pow.f64 t 2))) |
(+.f64 (*.f64 4 (*.f64 t t)) 1) |
(fma.f64 4 (*.f64 t t) 1) |
(+.f64 1 (+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))) |
(+.f64 (fma.f64 -8 (pow.f64 t 3) (*.f64 4 (*.f64 t t))) 1) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (fma.f64 4 (*.f64 t t) 1)) |
(fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (*.f64 t t) 1)) |
(+.f64 1 (+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4))))) |
(+.f64 1 (fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (*.f64 t t) (*.f64 12 (pow.f64 t 4))))) |
(+.f64 (fma.f64 -8 (pow.f64 t 3) (*.f64 12 (pow.f64 t 4))) (fma.f64 4 (*.f64 t t) 1)) |
(+.f64 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))) (fma.f64 12 (pow.f64 t 4) 1)) |
(pow.f64 (sqrt.f64 5) 2) |
5 |
(-.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 8 (/.f64 1 t))) |
(-.f64 (pow.f64 (sqrt.f64 5) 2) (/.f64 8 t)) |
(+.f64 5 (/.f64 -8 t)) |
(-.f64 5 (/.f64 8 t)) |
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(+.f64 (pow.f64 (sqrt.f64 5) 2) (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t))) |
(+.f64 (+.f64 5 (/.f64 12 (*.f64 t t))) (/.f64 -8 t)) |
(+.f64 5 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t))) |
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 16 (*.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 t 3))) (*.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (*.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 3))))))) (*.f64 8 (/.f64 1 t))) |
(+.f64 (pow.f64 (sqrt.f64 5) 2) (-.f64 (+.f64 (/.f64 12 (*.f64 t t)) (fma.f64 -1 (/.f64 (+.f64 16 (*.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 t 3)) (*.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (*.f64 (pow.f64 t 3) (pow.f64 (sqrt.f64 5) 2)))))) (/.f64 8 t))) |
(+.f64 5 (+.f64 (-.f64 (*.f64 -4/5 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 t 3))) (/.f64 (fma.f64 -4 (-.f64 12/5 (/.f64 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2) 5)) 16) (pow.f64 t 3))) (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)))) |
(+.f64 (+.f64 5 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t))) (/.f64 -16 (pow.f64 t 3))) |
(pow.f64 (sqrt.f64 5) 2) |
5 |
(-.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 8 (/.f64 1 t))) |
(-.f64 (pow.f64 (sqrt.f64 5) 2) (/.f64 8 t)) |
(+.f64 5 (/.f64 -8 t)) |
(-.f64 5 (/.f64 8 t)) |
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(+.f64 (pow.f64 (sqrt.f64 5) 2) (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t))) |
(+.f64 (+.f64 5 (/.f64 12 (*.f64 t t))) (/.f64 -8 t)) |
(+.f64 5 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t))) |
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3))))) |
(+.f64 (pow.f64 (sqrt.f64 5) 2) (-.f64 (+.f64 (/.f64 12 (*.f64 t t)) (fma.f64 -1 (/.f64 (+.f64 16 (*.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 t 3)) (*.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (*.f64 (pow.f64 t 3) (pow.f64 (sqrt.f64 5) 2)))))) (/.f64 8 t))) |
(+.f64 5 (+.f64 (-.f64 (*.f64 -4/5 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 t 3))) (/.f64 (fma.f64 -4 (-.f64 12/5 (/.f64 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2) 5)) 16) (pow.f64 t 3))) (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)))) |
(+.f64 (+.f64 5 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t))) (/.f64 -16 (pow.f64 t 3))) |
1/2 |
(+.f64 1/2 (pow.f64 t 2)) |
(+.f64 (*.f64 t t) 1/2) |
(fma.f64 t t 1/2) |
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2))) |
(fma.f64 -2 (pow.f64 t 3) (+.f64 (*.f64 t t) 1/2)) |
(fma.f64 (pow.f64 t 3) -2 (fma.f64 t t 1/2)) |
(fma.f64 t t (fma.f64 (pow.f64 t 3) -2 1/2)) |
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (pow.f64 t 4) (pow.f64 t 2)))) |
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (+.f64 (*.f64 t t) (pow.f64 t 4)))) |
(fma.f64 (pow.f64 t 3) -2 (+.f64 (pow.f64 t 4) (fma.f64 t t 1/2))) |
(*.f64 1/6 (pow.f64 (sqrt.f64 5) 2)) |
(*.f64 (pow.f64 (sqrt.f64 5) 2) 1/6) |
5/6 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 4/3 (*.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2))) |
(fma.f64 -1 (/.f64 (+.f64 4/3 (*.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) t) (*.f64 (pow.f64 (sqrt.f64 5) 2) 1/6)) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 4/3 (*.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (+.f64 (*.f64 1/6 (/.f64 (-.f64 (+.f64 12 (*.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 t 2))) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2)))) (+.f64 (*.f64 4/3 (/.f64 (+.f64 4/3 (*.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 t 2))) (*.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 2))))) |
(-.f64 (fma.f64 -1 (/.f64 (+.f64 4/3 (*.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) t) (*.f64 1/6 (+.f64 (/.f64 (+.f64 12 (-.f64 (/.f64 16 (pow.f64 (sqrt.f64 5) 2)) (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2))) (*.f64 t t)) (pow.f64 (sqrt.f64 5) 2)))) (fma.f64 4/3 (/.f64 (+.f64 4/3 (*.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) (*.f64 t t)) (*.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 t t))))) |
(+.f64 (fma.f64 1/6 (/.f64 (-.f64 76/5 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (*.f64 t t)) 5/6) (-.f64 (/.f64 -2/9 t) (+.f64 (/.f64 8/27 (*.f64 t t)) (/.f64 5/3 (*.f64 t t))))) |
(+.f64 5/6 (+.f64 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 -2/9 t) (+.f64 (/.f64 -8/27 (*.f64 t t)) (/.f64 -5/3 (*.f64 t t)))))) |
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (-.f64 (+.f64 12 (*.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 t 2))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -1 (+.f64 16 (*.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2))))) (*.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 t 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 4/3 (*.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2))))) (+.f64 (*.f64 -2 (/.f64 (+.f64 4/3 (*.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 t 3))) (+.f64 (*.f64 -4/3 (/.f64 (-.f64 (*.f64 1/6 (-.f64 (+.f64 12 (*.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2))) (+.f64 (*.f64 4/3 (+.f64 4/3 (*.f64 -2/9 (pow.f64 (sqrt.f64 5) 2)))) (*.f64 1/3 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 t 3))) (+.f64 (*.f64 4/3 (/.f64 (+.f64 4/3 (*.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 t 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 2))) (*.f64 -4/9 (/.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 3)))))))) |
(-.f64 (fma.f64 1/6 (/.f64 (+.f64 12 (-.f64 (/.f64 16 (pow.f64 (sqrt.f64 5) 2)) (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2))) (*.f64 t t)) (fma.f64 1/6 (/.f64 (fma.f64 -1 (+.f64 16 (*.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2)))) (*.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 t 3)) (fma.f64 -1 (/.f64 (+.f64 4/3 (*.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) t) (*.f64 (pow.f64 (sqrt.f64 5) 2) 1/6)))) (fma.f64 -2 (/.f64 (+.f64 4/3 (*.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) (pow.f64 t 3)) (fma.f64 -4/3 (/.f64 (-.f64 (*.f64 1/6 (+.f64 12 (-.f64 (/.f64 16 (pow.f64 (sqrt.f64 5) 2)) (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)))) (fma.f64 4/3 (+.f64 4/3 (*.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) (*.f64 (pow.f64 (sqrt.f64 5) 2) 1/3))) (pow.f64 t 3)) (fma.f64 4/3 (/.f64 (+.f64 4/3 (*.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) (*.f64 t t)) (fma.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 t t)) (*.f64 -4/9 (/.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 3)))))))) |
(-.f64 (+.f64 (fma.f64 1/6 (/.f64 (-.f64 (/.f64 (*.f64 -4 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2))) 5) (fma.f64 -4 (-.f64 12/5 (/.f64 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2) 5)) 16)) (pow.f64 t 3)) (/.f64 -2/9 t)) (fma.f64 1/6 (/.f64 (-.f64 76/5 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (*.f64 t t)) 5/6)) (+.f64 (/.f64 -4/9 (pow.f64 t 3)) (fma.f64 -4/3 (/.f64 (fma.f64 1/6 (-.f64 76/5 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) -53/27) (pow.f64 t 3)) (+.f64 (/.f64 -20/9 (pow.f64 t 3)) (+.f64 (/.f64 8/27 (*.f64 t t)) (/.f64 5/3 (*.f64 t t))))))) |
(+.f64 (/.f64 2 (*.f64 t t)) (+.f64 5/6 (+.f64 (+.f64 (/.f64 -8/3 (pow.f64 t 3)) (/.f64 -2/9 t)) (-.f64 (/.f64 4/9 (pow.f64 t 3)) (+.f64 (/.f64 8/27 (*.f64 t t)) (+.f64 (/.f64 -4/81 (pow.f64 t 3)) (*.f64 (/.f64 5 (*.f64 t t)) (+.f64 1/3 (/.f64 -4/9 t))))))))) |
(*.f64 1/6 (pow.f64 (sqrt.f64 5) 2)) |
(*.f64 (pow.f64 (sqrt.f64 5) 2) 1/6) |
5/6 |
(+.f64 (*.f64 -1 (/.f64 (-.f64 4/3 (*.f64 2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2))) |
(fma.f64 -1 (/.f64 (+.f64 4/3 (*.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) t) (*.f64 (pow.f64 (sqrt.f64 5) 2) 1/6)) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 4/3 (*.f64 2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (+.f64 (*.f64 1/6 (/.f64 (-.f64 (+.f64 12 (*.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 4 (sqrt.f64 5)) 2)) (pow.f64 t 2))) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2)))) (+.f64 (*.f64 4/3 (/.f64 (-.f64 4/3 (*.f64 2/9 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 t 2))) (*.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 2))))) |
(-.f64 (fma.f64 -1 (/.f64 (+.f64 4/3 (*.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) t) (*.f64 1/6 (+.f64 (/.f64 (+.f64 12 (-.f64 (/.f64 16 (pow.f64 (sqrt.f64 5) 2)) (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2))) (*.f64 t t)) (pow.f64 (sqrt.f64 5) 2)))) (fma.f64 4/3 (/.f64 (+.f64 4/3 (*.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) (*.f64 t t)) (*.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 t t))))) |
(+.f64 (fma.f64 1/6 (/.f64 (-.f64 76/5 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (*.f64 t t)) 5/6) (-.f64 (/.f64 -2/9 t) (+.f64 (/.f64 8/27 (*.f64 t t)) (/.f64 5/3 (*.f64 t t))))) |
(+.f64 5/6 (+.f64 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 -2/9 t) (+.f64 (/.f64 -8/27 (*.f64 t t)) (/.f64 -5/3 (*.f64 t t)))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 4/3 (*.f64 2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (+.f64 (*.f64 -1 (/.f64 (-.f64 8/3 (+.f64 (*.f64 2 (-.f64 4/3 (*.f64 2/9 (pow.f64 (sqrt.f64 5) 2)))) (+.f64 (*.f64 4/3 (-.f64 (*.f64 1/6 (-.f64 (+.f64 12 (*.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 4 (sqrt.f64 5)) 2))) (+.f64 (*.f64 4/3 (-.f64 4/3 (*.f64 2/9 (pow.f64 (sqrt.f64 5) 2)))) (*.f64 1/3 (pow.f64 (sqrt.f64 5) 2))))) (*.f64 4/9 (pow.f64 (sqrt.f64 5) 2))))) (pow.f64 t 3))) (+.f64 (*.f64 1/6 (/.f64 (-.f64 (+.f64 12 (*.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 4 (sqrt.f64 5)) 2)) (pow.f64 t 2))) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2))))) (+.f64 (*.f64 4/3 (/.f64 (-.f64 4/3 (*.f64 2/9 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 t 2))) (*.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 2))))) |
(-.f64 (fma.f64 -1 (/.f64 (+.f64 4/3 (*.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) t) (fma.f64 -1 (/.f64 (-.f64 8/3 (fma.f64 2 (+.f64 4/3 (*.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) (fma.f64 4/3 (-.f64 (*.f64 1/6 (-.f64 (+.f64 12 (/.f64 16 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 (/.f64 4 (sqrt.f64 5)) 2))) (fma.f64 4/3 (+.f64 4/3 (*.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) (*.f64 (pow.f64 (sqrt.f64 5) 2) 1/3))) (*.f64 (pow.f64 (sqrt.f64 5) 2) 4/9)))) (pow.f64 t 3)) (*.f64 1/6 (+.f64 (/.f64 (-.f64 (+.f64 12 (/.f64 16 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 (/.f64 4 (sqrt.f64 5)) 2)) (*.f64 t t)) (pow.f64 (sqrt.f64 5) 2))))) (fma.f64 4/3 (/.f64 (+.f64 4/3 (*.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) (*.f64 t t)) (*.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 t t))))) |
(+.f64 (/.f64 -2/9 t) (-.f64 (-.f64 (fma.f64 1/6 (/.f64 (-.f64 76/5 (pow.f64 (/.f64 4 (sqrt.f64 5)) 2)) (*.f64 t t)) 5/6) (/.f64 (-.f64 0 (*.f64 4/3 (fma.f64 1/6 (-.f64 76/5 (pow.f64 (/.f64 4 (sqrt.f64 5)) 2)) -53/27))) (pow.f64 t 3))) (+.f64 (/.f64 8/27 (*.f64 t t)) (/.f64 5/3 (*.f64 t t))))) |
(+.f64 (/.f64 -2/9 t) (+.f64 (-.f64 5/6 (/.f64 -4/81 (pow.f64 t 3))) (+.f64 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 -8/27 (*.f64 t t)) (/.f64 -5/3 (*.f64 t t)))))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)) |
| 0.3b | (/.f64 -2/9 t) | |
| ✓ | 1.8b | (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1) |
Compiled 29 to 24 computations (17.2% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | 0 | (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1) |
| 0.0ms | t | @ | 0 | (+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)) |
| 0.0ms | t | @ | inf | (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1) |
| 0.0ms | t | @ | -inf | (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1) |
| 0.0ms | t | @ | inf | (+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)) |
| 1× | batch-egg-rewrite |
| 534× | unpow-prod-down_binary64 |
| 411× | fma-def_binary64 |
| 379× | prod-diff_binary64 |
| 365× | log-prod_binary64 |
| 243× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 23 |
| 1 | 216 | 11 |
| 2 | 3083 | 11 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1) |
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)) |
| Outputs |
|---|
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/.f64 (-.f64 (/.f64 4/81 (*.f64 t t)) 25/36) (-.f64 (/.f64 -2/9 t) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 -2/9 t) (-.f64 (/.f64 -2/9 t) 5/6) 25/36) (+.f64 125/216 (/.f64 -8/729 (pow.f64 t 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 5/6 (/.f64 -2/9 t)) (-.f64 25/36 (/.f64 4/81 (*.f64 t t)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -2/9 t) 5/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 11/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -2/9 t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 -2/9 t)) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 11/6 (/.f64 -2/9 t)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2/9 (/.f64 1 t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2/9 t) 1 5/6)))) (#(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 (cbrt.f64 (/.f64 -2/9 t)) (cbrt.f64 (/.f64 4/81 (*.f64 t t))) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4/81 (*.f64 t t))) (cbrt.f64 (/.f64 -2/9 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 (/.f64 -2/9 t))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -2/9 t))) 2) -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 -2/9 t))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 -2/9 t))) 1) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -2/9 t)) (sqrt.f64 (/.f64 -2/9 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (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 -2/9 t))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 -2/9 t))) 1) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/9 (/.f64 1 (neg.f64 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 -2/9 t)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) (+.f64 (/.f64 -2/9 t) 2))) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 -8/729 (pow.f64 t 3))) (/.f64 1 (fma.f64 (/.f64 -2/9 t) (+.f64 (/.f64 -2/9 t) -1) 1)) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 t) -2/9 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 -2/9 t)))) (/.f64 1 (+.f64 (/.f64 -2/9 t) 2)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (/.f64 4/81 (*.f64 t t))) (/.f64 1 (-.f64 1 (/.f64 -2/9 t))) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 11/6 (/.f64 -2/9 t))) 2) (cbrt.f64 (+.f64 11/6 (/.f64 -2/9 t))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 11/6 (/.f64 -2/9 t))) (sqrt.f64 (+.f64 11/6 (/.f64 -2/9 t))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 -2/9 t))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 -2/9 t)))) 5/6))))) |
| 1× | egg-herbie |
| 16× | fma-def_binary64 |
| 11× | sub-neg_binary64 |
| 6× | +-commutative_binary64 |
| 4× | *-commutative_binary64 |
| 4× | associate-+l-_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 117 |
| 1 | 20 | 117 |
| 2 | 31 | 117 |
| 3 | 47 | 117 |
| 4 | 62 | 117 |
| 5 | 80 | 117 |
| 6 | 98 | 117 |
| 7 | 113 | 117 |
| 8 | 120 | 117 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 -2/9 t) |
(/.f64 -2/9 t) |
(/.f64 -2/9 t) |
(/.f64 -2/9 t) |
(/.f64 -2/9 t) |
(/.f64 -2/9 t) |
(/.f64 -2/9 t) |
(/.f64 -2/9 t) |
(/.f64 -2/9 t) |
(/.f64 -2/9 t) |
(/.f64 -2/9 t) |
(/.f64 -2/9 t) |
(/.f64 -2/9 t) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
5/6 |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
5/6 |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
| Outputs |
|---|
(/.f64 -2/9 t) |
(/.f64 -2/9 t) |
(/.f64 -2/9 t) |
(/.f64 -2/9 t) |
(/.f64 -2/9 t) |
(/.f64 -2/9 t) |
(/.f64 -2/9 t) |
(/.f64 -2/9 t) |
(/.f64 -2/9 t) |
(/.f64 -2/9 t) |
(/.f64 -2/9 t) |
(/.f64 -2/9 t) |
(/.f64 -2/9 t) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (/.f64 2/9 t)) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (/.f64 2/9 t)) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (/.f64 2/9 t)) |
(+.f64 5/6 (/.f64 -2/9 t)) |
5/6 |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (/.f64 2/9 t)) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (/.f64 2/9 t)) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (/.f64 2/9 t)) |
(+.f64 5/6 (/.f64 -2/9 t)) |
5/6 |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (/.f64 2/9 t)) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (/.f64 2/9 t)) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (/.f64 2/9 t)) |
(+.f64 5/6 (/.f64 -2/9 t)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 4 (*.f64 t t)) | |
| ✓ | 18.2b | (/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
Compiled 42 to 24 computations (42.9% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | inf | (/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
| 1.0ms | t | @ | 0 | (/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
| 0.0ms | t | @ | -inf | (/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
| 1× | batch-egg-rewrite |
| 541× | prod-diff_binary64 |
| 474× | log-prod_binary64 |
| 386× | fma-def_binary64 |
| 284× | pow-prod-down_binary64 |
| 264× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 22 |
| 1 | 218 | 18 |
| 2 | 2866 | 18 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 4 (*.f64 t t) 1) (/.f64 1 (fma.f64 4 (*.f64 t t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 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(2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 t 2)) (cbrt.f64 (pow.f64 (fma.f64 4 (*.f64 t t) 2) 2))) (/.f64 (hypot.f64 1 (*.f64 t 2)) (cbrt.f64 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 4 (*.f64 t t) 2) -1/2) (/.f64 (fma.f64 4 (*.f64 t t) 1) (sqrt.f64 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 t 2)) 4)) (sqrt.f64 (fma.f64 4 (*.f64 t t) 2))) (/.f64 (cbrt.f64 (fma.f64 4 (*.f64 t t) 1)) (sqrt.f64 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 (pow.f64 t 6) 64 8)) (fma.f64 (*.f64 4 (*.f64 t t)) (fma.f64 4 (*.f64 t t) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (-.f64 4 (*.f64 (pow.f64 t 4) 16))) (+.f64 2 (*.f64 -4 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 1 (*.f64 t 2)) (sqrt.f64 (fma.f64 4 (*.f64 t t) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 4 (*.f64 t t) 2) (fma.f64 4 (*.f64 t t) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 t 2)) 6) (pow.f64 (fma.f64 4 (*.f64 t t) 2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 4 (*.f64 t t) 2) (fma.f64 4 (*.f64 t t) 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (neg.f64 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 t 2)) 6) (pow.f64 (fma.f64 4 (*.f64 t t) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 1 (*.f64 t 2)) (sqrt.f64 (fma.f64 4 (*.f64 t t) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 4 (*.f64 t t) 2) (fma.f64 4 (*.f64 t t) 1))) -1)))))) |
| 1× | egg-herbie |
| 784× | distribute-neg-frac_binary64 |
| 611× | times-frac_binary64 |
| 388× | associate-/l/_binary64 |
| 285× | unswap-sqr_binary64 |
| 268× | associate-*l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 159 |
| 1 | 87 | 157 |
| 2 | 212 | 153 |
| 3 | 563 | 153 |
| 4 | 2140 | 153 |
| 5 | 6512 | 153 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (pow.f64 t 2)) |
(+.f64 1/2 (+.f64 (*.f64 -2 (pow.f64 t 4)) (pow.f64 t 2))) |
(+.f64 1/2 (+.f64 (*.f64 4 (pow.f64 t 6)) (+.f64 (*.f64 -2 (pow.f64 t 4)) (pow.f64 t 2)))) |
1 |
(-.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 t 2)))) |
(-.f64 (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 t 4)))) (*.f64 1/4 (/.f64 1 (pow.f64 t 2)))) |
(-.f64 (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 t 4)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 t 6))) (*.f64 1/4 (/.f64 1 (pow.f64 t 2))))) |
1 |
(-.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 t 2)))) |
(-.f64 (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 t 4)))) (*.f64 1/4 (/.f64 1 (pow.f64 t 2)))) |
(-.f64 (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 t 4)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 t 6))) (*.f64 1/4 (/.f64 1 (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 (+.f64 (*.f64 -2 (pow.f64 t 4)) (pow.f64 t 2))) |
(+.f64 1/2 (fma.f64 -2 (pow.f64 t 4) (*.f64 t t))) |
(+.f64 1/2 (fma.f64 t t (*.f64 -2 (pow.f64 t 4)))) |
(fma.f64 t t (fma.f64 -2 (pow.f64 t 4) 1/2)) |
(+.f64 1/2 (+.f64 (*.f64 4 (pow.f64 t 6)) (+.f64 (*.f64 -2 (pow.f64 t 4)) (pow.f64 t 2)))) |
(+.f64 1/2 (fma.f64 4 (pow.f64 t 6) (fma.f64 -2 (pow.f64 t 4) (*.f64 t t)))) |
(+.f64 1/2 (fma.f64 4 (pow.f64 t 6) (fma.f64 t t (*.f64 -2 (pow.f64 t 4))))) |
(fma.f64 4 (pow.f64 t 6) (fma.f64 t t (fma.f64 -2 (pow.f64 t 4) 1/2))) |
(fma.f64 -2 (pow.f64 t 4) (fma.f64 4 (pow.f64 t 6) (fma.f64 t t 1/2))) |
(fma.f64 t t (fma.f64 -2 (pow.f64 t 4) (fma.f64 4 (pow.f64 t 6) 1/2))) |
1 |
(-.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 t 2)))) |
(-.f64 1 (/.f64 1/4 (*.f64 t t))) |
(+.f64 1 (/.f64 -1/4 (*.f64 t t))) |
(+.f64 1 (/.f64 (/.f64 -1/4 t) t)) |
(-.f64 (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 t 4)))) (*.f64 1/4 (/.f64 1 (pow.f64 t 2)))) |
(+.f64 1 (-.f64 (/.f64 1/8 (pow.f64 t 4)) (/.f64 1/4 (*.f64 t t)))) |
(+.f64 (/.f64 1/8 (pow.f64 t 4)) (+.f64 1 (/.f64 -1/4 (*.f64 t t)))) |
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 t 4)) (/.f64 (/.f64 -1/4 t) t))) |
(+.f64 (+.f64 1 (/.f64 (/.f64 -1/4 t) t)) (/.f64 1/8 (pow.f64 t 4))) |
(+.f64 (-.f64 1 (/.f64 1/4 (*.f64 t t))) (/.f64 1/8 (pow.f64 t 4))) |
(-.f64 (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 t 4)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 t 6))) (*.f64 1/4 (/.f64 1 (pow.f64 t 2))))) |
(+.f64 1 (-.f64 (/.f64 1/8 (pow.f64 t 4)) (+.f64 (/.f64 1/4 (*.f64 t t)) (/.f64 1/16 (pow.f64 t 6))))) |
(+.f64 1 (+.f64 (-.f64 (/.f64 1/8 (pow.f64 t 4)) (/.f64 1/16 (pow.f64 t 6))) (/.f64 (/.f64 -1/4 t) t))) |
(+.f64 (/.f64 1/8 (pow.f64 t 4)) (+.f64 (+.f64 1 (/.f64 (/.f64 -1/4 t) t)) (/.f64 -1/16 (pow.f64 t 6)))) |
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 t 4)) (-.f64 (/.f64 -1/16 (pow.f64 t 6)) (/.f64 1/4 (*.f64 t t))))) |
1 |
(-.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 t 2)))) |
(-.f64 1 (/.f64 1/4 (*.f64 t t))) |
(+.f64 1 (/.f64 -1/4 (*.f64 t t))) |
(+.f64 1 (/.f64 (/.f64 -1/4 t) t)) |
(-.f64 (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 t 4)))) (*.f64 1/4 (/.f64 1 (pow.f64 t 2)))) |
(+.f64 1 (-.f64 (/.f64 1/8 (pow.f64 t 4)) (/.f64 1/4 (*.f64 t t)))) |
(+.f64 (/.f64 1/8 (pow.f64 t 4)) (+.f64 1 (/.f64 -1/4 (*.f64 t t)))) |
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 t 4)) (/.f64 (/.f64 -1/4 t) t))) |
(+.f64 (+.f64 1 (/.f64 (/.f64 -1/4 t) t)) (/.f64 1/8 (pow.f64 t 4))) |
(+.f64 (-.f64 1 (/.f64 1/4 (*.f64 t t))) (/.f64 1/8 (pow.f64 t 4))) |
(-.f64 (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 t 4)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 t 6))) (*.f64 1/4 (/.f64 1 (pow.f64 t 2))))) |
(+.f64 1 (-.f64 (/.f64 1/8 (pow.f64 t 4)) (+.f64 (/.f64 1/4 (*.f64 t t)) (/.f64 1/16 (pow.f64 t 6))))) |
(+.f64 1 (+.f64 (-.f64 (/.f64 1/8 (pow.f64 t 4)) (/.f64 1/16 (pow.f64 t 6))) (/.f64 (/.f64 -1/4 t) t))) |
(+.f64 (/.f64 1/8 (pow.f64 t 4)) (+.f64 (+.f64 1 (/.f64 (/.f64 -1/4 t) t)) (/.f64 -1/16 (pow.f64 t 6)))) |
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 t 4)) (-.f64 (/.f64 -1/16 (pow.f64 t 6)) (/.f64 1/4 (*.f64 t t))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 (*.f64 2 t) (+.f64 1 t)) | |
| 0.0b | (*.f64 4 (*.f64 t t)) | |
| ✓ | 0.0b | (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (*.f64 t 2)) |
| ✓ | 17.6b | (/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (*.f64 t 2))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
Compiled 81 to 55 computations (32.1% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | 0 | (/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (*.f64 t 2))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
| 0.0ms | t | @ | inf | (/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (*.f64 t 2))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
| 0.0ms | t | @ | -inf | (/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (*.f64 t 2))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
| 0.0ms | t | @ | inf | (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (*.f64 t 2)) |
| 0.0ms | t | @ | -inf | (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (*.f64 t 2)) |
| 1× | batch-egg-rewrite |
| 811× | log-prod_binary64 |
| 579× | fma-def_binary64 |
| 272× | fma-neg_binary64 |
| 266× | expm1-udef_binary64 |
| 266× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 47 |
| 1 | 342 | 39 |
| 2 | 4679 | 39 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (*.f64 t 2))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
(*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (*.f64 t 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (fma.f64 t (*.f64 t 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (fma.f64 t (*.f64 t 4) 2)))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (fma.f64 t (*.f64 t 4) 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (fma.f64 t (*.f64 t 4) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (fma.f64 t (*.f64 t 4) 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (fma.f64 t (*.f64 t 4) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (fma.f64 t (*.f64 t 4) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (fma.f64 t (*.f64 t 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (/.f64 1 (fma.f64 t (*.f64 t 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (fma.f64 t (*.f64 t 4) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (fma.f64 t (*.f64 t 4) 2))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (fma.f64 t (*.f64 t 4) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (fma.f64 t (*.f64 t 4) 2))) 2) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t)))) (/.f64 1 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (/.f64 (+.f64 t t) (sqrt.f64 (+.f64 1 t)))) (sqrt.f64 (fma.f64 t (*.f64 t 4) 2))) (/.f64 (hypot.f64 1 (/.f64 (+.f64 t t) (sqrt.f64 (+.f64 1 t)))) (sqrt.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (/.f64 (+.f64 t t) (sqrt.f64 (+.f64 1 t)))) (*.f64 (hypot.f64 1 (/.f64 (+.f64 t t) (sqrt.f64 (+.f64 1 t)))) (/.f64 1 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) -1) (/.f64 1 (neg.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 t (*.f64 t 4) 2)) (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t)))) (fma.f64 t (*.f64 t 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (/.f64 (+.f64 t t) (sqrt.f64 (+.f64 1 t)))) 1) (/.f64 (hypot.f64 1 (/.f64 (+.f64 t t) (sqrt.f64 (+.f64 1 t)))) (fma.f64 t (*.f64 t 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 t (*.f64 t 4) 2)) 2)) (/.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (cbrt.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t)))) 2) (pow.f64 (cbrt.f64 (fma.f64 t (*.f64 t 4) 2)) 2)) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (/.f64 (+.f64 t t) (sqrt.f64 (+.f64 1 t)))) (pow.f64 (cbrt.f64 (fma.f64 t (*.f64 t 4) 2)) 2)) (/.f64 (hypot.f64 1 (/.f64 (+.f64 t t) (sqrt.f64 (+.f64 1 t)))) (cbrt.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 t (*.f64 t 4) 2))) (/.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (sqrt.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t)))) 2) (sqrt.f64 (fma.f64 t (*.f64 t 4) 2))) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t)))) (sqrt.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (fma.f64 (pow.f64 (*.f64 t t) 3) 64 8)) (fma.f64 (*.f64 t (*.f64 t 4)) (fma.f64 t (*.f64 t 4) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (-.f64 4 (*.f64 (pow.f64 t 4) 16))) (+.f64 2 (*.f64 -4 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x 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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (fma.f64 t (*.f64 t 4) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (fma.f64 t (*.f64 t 4) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) 3) (pow.f64 (fma.f64 t (*.f64 t 4) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (/.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 t (*.f64 2 (/.f64 t (+.f64 1 t)))) (*.f64 t (*.f64 2 (/.f64 t (+.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t)))) (cbrt.f64 (exp.f64 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 t) (*.f64 t (*.f64 t 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 t t) (*.f64 1/2 (/.f64 (+.f64 1 t) t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 t (*.f64 t 4))) (+.f64 (neg.f64 t) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 t t) 2) (/.f64 (+.f64 1 t) t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 t t)) (/.f64 (+.f64 1 t) t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 t -2) (+.f64 t t)) (+.f64 (neg.f64 t) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 t t) (*.f64 t -2)) (+.f64 (neg.f64 t) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 t (*.f64 t 4)) 1) (+.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 t (*.f64 t 4)) (pow.f64 (cbrt.f64 (+.f64 1 t)) 2)) (cbrt.f64 (+.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 t (*.f64 t 4)) (sqrt.f64 (+.f64 1 t))) (sqrt.f64 (+.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 t t) (sqrt.f64 (+.f64 1 t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 (pow.f64 t 4) 16) (pow.f64 (+.f64 1 t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (fma.f64 2 (log.f64 t) (log.f64 4)) (log1p.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (fma.f64 2 (log.f64 t) (log.f64 4)) (log1p.f64 t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t)))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t)))) 2) (cbrt.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (/.f64 (+.f64 t t) (sqrt.f64 (+.f64 1 t)))) (hypot.f64 1 (/.f64 (+.f64 t t) (sqrt.f64 (+.f64 1 t)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t)) 3)) (/.f64 1 (fma.f64 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t)) (-.f64 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t)) 1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (/.f64 (*.f64 (pow.f64 t 4) 16) (pow.f64 (+.f64 1 t) 2))) (/.f64 1 (-.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t)))) -1))))) |
| 1× | egg-herbie |
| 673× | fma-def_binary64 |
| 461× | times-frac_binary64 |
| 385× | fma-neg_binary64 |
| 339× | associate-*r/_binary64 |
| 338× | associate-*l/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 335 |
| 1 | 152 | 329 |
| 2 | 406 | 323 |
| 3 | 1146 | 316 |
| 4 | 3558 | 316 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (pow.f64 t 2)) |
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2))) |
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (pow.f64 t 2) (*.f64 2 (pow.f64 t 5))))) |
(/.f64 1 t) |
(-.f64 (/.f64 1 t) (*.f64 3/4 (/.f64 1 (pow.f64 t 2)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 t 3))) (/.f64 1 t)) (*.f64 3/4 (/.f64 1 (pow.f64 t 2)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 t 3))) (/.f64 1 t)) (+.f64 (*.f64 5/8 (/.f64 1 (pow.f64 t 4))) (*.f64 3/4 (/.f64 1 (pow.f64 t 2))))) |
(/.f64 1 t) |
(-.f64 (/.f64 1 t) (*.f64 3/4 (/.f64 1 (pow.f64 t 2)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 t 3))) (/.f64 1 t)) (*.f64 3/4 (/.f64 1 (pow.f64 t 2)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 t 3))) (/.f64 1 t)) (+.f64 (*.f64 5/8 (/.f64 1 (pow.f64 t 4))) (*.f64 3/4 (/.f64 1 (pow.f64 t 2))))) |
(*.f64 4 (pow.f64 t 2)) |
(+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))) |
(+.f64 (*.f64 4 (pow.f64 t 4)) (+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))) |
(+.f64 (*.f64 4 (pow.f64 t 4)) (+.f64 (*.f64 -4 (pow.f64 t 3)) (+.f64 (*.f64 -4 (pow.f64 t 5)) (*.f64 4 (pow.f64 t 2))))) |
(*.f64 4 t) |
(-.f64 (*.f64 4 t) 4) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 t)) 4) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 t)) (+.f64 4 (*.f64 4 (/.f64 1 (pow.f64 t 2))))) |
(*.f64 4 t) |
(-.f64 (*.f64 4 t) 4) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 t)) 4) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 t)) (+.f64 4 (*.f64 4 (/.f64 1 (pow.f64 t 2))))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (pow.f64 t 2)) |
(+.f64 1/2 (*.f64 t t)) |
(fma.f64 t t 1/2) |
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2))) |
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (*.f64 t t))) |
(fma.f64 -2 (pow.f64 t 3) (fma.f64 t t 1/2)) |
(fma.f64 t t (fma.f64 -2 (pow.f64 t 3) 1/2)) |
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (pow.f64 t 2) (*.f64 2 (pow.f64 t 5))))) |
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (+.f64 (*.f64 t t) (*.f64 2 (pow.f64 t 5))))) |
(+.f64 (fma.f64 -2 (pow.f64 t 3) (fma.f64 t t 1/2)) (*.f64 2 (pow.f64 t 5))) |
(fma.f64 -2 (pow.f64 t 3) (fma.f64 2 (pow.f64 t 5) (fma.f64 t t 1/2))) |
(fma.f64 t t (fma.f64 2 (pow.f64 t 5) (fma.f64 -2 (pow.f64 t 3) 1/2))) |
(/.f64 1 t) |
(-.f64 (/.f64 1 t) (*.f64 3/4 (/.f64 1 (pow.f64 t 2)))) |
(-.f64 (/.f64 1 t) (/.f64 3/4 (*.f64 t t))) |
(-.f64 (/.f64 1 t) (/.f64 (/.f64 3/4 t) t)) |
(+.f64 (/.f64 1 t) (/.f64 -3/4 (*.f64 t t))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 t 3))) (/.f64 1 t)) (*.f64 3/4 (/.f64 1 (pow.f64 t 2)))) |
(+.f64 (/.f64 1/2 (pow.f64 t 3)) (-.f64 (/.f64 1 t) (/.f64 3/4 (*.f64 t t)))) |
(+.f64 (/.f64 1 t) (-.f64 (/.f64 1/2 (pow.f64 t 3)) (/.f64 (/.f64 3/4 t) t))) |
(+.f64 (-.f64 (/.f64 1 t) (/.f64 (/.f64 3/4 t) t)) (/.f64 1/2 (pow.f64 t 3))) |
(+.f64 (/.f64 1 t) (+.f64 (/.f64 1/2 (pow.f64 t 3)) (/.f64 -3/4 (*.f64 t t)))) |
(-.f64 (/.f64 1/2 (pow.f64 t 3)) (+.f64 (/.f64 3/4 (*.f64 t t)) (/.f64 -1 t))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 t 3))) (/.f64 1 t)) (+.f64 (*.f64 5/8 (/.f64 1 (pow.f64 t 4))) (*.f64 3/4 (/.f64 1 (pow.f64 t 2))))) |
(-.f64 (+.f64 (/.f64 1 t) (/.f64 1/2 (pow.f64 t 3))) (+.f64 (/.f64 3/4 (*.f64 t t)) (/.f64 5/8 (pow.f64 t 4)))) |
(+.f64 (/.f64 1 t) (-.f64 (/.f64 1/2 (pow.f64 t 3)) (+.f64 (/.f64 (/.f64 3/4 t) t) (/.f64 5/8 (pow.f64 t 4))))) |
(+.f64 (-.f64 (/.f64 1 t) (/.f64 (/.f64 3/4 t) t)) (+.f64 (/.f64 1/2 (pow.f64 t 3)) (/.f64 -5/8 (pow.f64 t 4)))) |
(+.f64 (+.f64 (/.f64 1 t) (/.f64 -3/4 (*.f64 t t))) (+.f64 (/.f64 1/2 (pow.f64 t 3)) (/.f64 -5/8 (pow.f64 t 4)))) |
(+.f64 (/.f64 1 t) (+.f64 (/.f64 1/2 (pow.f64 t 3)) (+.f64 (/.f64 -3/4 (*.f64 t t)) (/.f64 -5/8 (pow.f64 t 4))))) |
(/.f64 1 t) |
(-.f64 (/.f64 1 t) (*.f64 3/4 (/.f64 1 (pow.f64 t 2)))) |
(-.f64 (/.f64 1 t) (/.f64 3/4 (*.f64 t t))) |
(-.f64 (/.f64 1 t) (/.f64 (/.f64 3/4 t) t)) |
(+.f64 (/.f64 1 t) (/.f64 -3/4 (*.f64 t t))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 t 3))) (/.f64 1 t)) (*.f64 3/4 (/.f64 1 (pow.f64 t 2)))) |
(+.f64 (/.f64 1/2 (pow.f64 t 3)) (-.f64 (/.f64 1 t) (/.f64 3/4 (*.f64 t t)))) |
(+.f64 (/.f64 1 t) (-.f64 (/.f64 1/2 (pow.f64 t 3)) (/.f64 (/.f64 3/4 t) t))) |
(+.f64 (-.f64 (/.f64 1 t) (/.f64 (/.f64 3/4 t) t)) (/.f64 1/2 (pow.f64 t 3))) |
(+.f64 (/.f64 1 t) (+.f64 (/.f64 1/2 (pow.f64 t 3)) (/.f64 -3/4 (*.f64 t t)))) |
(-.f64 (/.f64 1/2 (pow.f64 t 3)) (+.f64 (/.f64 3/4 (*.f64 t t)) (/.f64 -1 t))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 t 3))) (/.f64 1 t)) (+.f64 (*.f64 5/8 (/.f64 1 (pow.f64 t 4))) (*.f64 3/4 (/.f64 1 (pow.f64 t 2))))) |
(-.f64 (+.f64 (/.f64 1 t) (/.f64 1/2 (pow.f64 t 3))) (+.f64 (/.f64 3/4 (*.f64 t t)) (/.f64 5/8 (pow.f64 t 4)))) |
(+.f64 (/.f64 1 t) (-.f64 (/.f64 1/2 (pow.f64 t 3)) (+.f64 (/.f64 (/.f64 3/4 t) t) (/.f64 5/8 (pow.f64 t 4))))) |
(+.f64 (-.f64 (/.f64 1 t) (/.f64 (/.f64 3/4 t) t)) (+.f64 (/.f64 1/2 (pow.f64 t 3)) (/.f64 -5/8 (pow.f64 t 4)))) |
(+.f64 (+.f64 (/.f64 1 t) (/.f64 -3/4 (*.f64 t t))) (+.f64 (/.f64 1/2 (pow.f64 t 3)) (/.f64 -5/8 (pow.f64 t 4)))) |
(+.f64 (/.f64 1 t) (+.f64 (/.f64 1/2 (pow.f64 t 3)) (+.f64 (/.f64 -3/4 (*.f64 t t)) (/.f64 -5/8 (pow.f64 t 4))))) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 (*.f64 t t) 4) |
(*.f64 t (*.f64 t 4)) |
(+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))) |
(fma.f64 -4 (pow.f64 t 3) (*.f64 (*.f64 t t) 4)) |
(fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -4)) |
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -4))) |
(*.f64 (*.f64 t t) (fma.f64 t -4 4)) |
(+.f64 (*.f64 4 (pow.f64 t 4)) (+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))) |
(fma.f64 4 (pow.f64 t 4) (fma.f64 -4 (pow.f64 t 3) (*.f64 (*.f64 t t) 4))) |
(fma.f64 4 (pow.f64 t 4) (fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -4))) |
(fma.f64 (pow.f64 t 3) -4 (*.f64 4 (+.f64 (pow.f64 t 4) (*.f64 t t)))) |
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (fma.f64 t 4 -4)))) |
(+.f64 (*.f64 4 (pow.f64 t 4)) (+.f64 (*.f64 -4 (pow.f64 t 3)) (+.f64 (*.f64 -4 (pow.f64 t 5)) (*.f64 4 (pow.f64 t 2))))) |
(fma.f64 4 (pow.f64 t 4) (fma.f64 -4 (pow.f64 t 3) (fma.f64 -4 (pow.f64 t 5) (*.f64 (*.f64 t t) 4)))) |
(fma.f64 4 (pow.f64 t 4) (fma.f64 (pow.f64 t 3) -4 (fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 5) -4)))) |
(fma.f64 -4 (+.f64 (pow.f64 t 3) (pow.f64 t 5)) (*.f64 4 (+.f64 (pow.f64 t 4) (*.f64 t t)))) |
(fma.f64 (pow.f64 t 5) -4 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (fma.f64 t 4 -4))))) |
(*.f64 4 t) |
(*.f64 t 4) |
(-.f64 (*.f64 4 t) 4) |
(fma.f64 4 t -4) |
(fma.f64 t 4 -4) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 t)) 4) |
(+.f64 (/.f64 4 t) (fma.f64 4 t -4)) |
(+.f64 -4 (fma.f64 t 4 (/.f64 4 t))) |
(fma.f64 t 4 (+.f64 -4 (/.f64 4 t))) |
(+.f64 (fma.f64 t 4 -4) (/.f64 4 t)) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 t)) (+.f64 4 (*.f64 4 (/.f64 1 (pow.f64 t 2))))) |
(-.f64 (+.f64 (/.f64 4 t) (fma.f64 4 t -4)) (/.f64 4 (*.f64 t t))) |
(+.f64 (fma.f64 t 4 (/.f64 4 t)) (-.f64 -4 (/.f64 4 (*.f64 t t)))) |
(+.f64 (fma.f64 t 4 -4) (-.f64 (/.f64 4 t) (/.f64 4 (*.f64 t t)))) |
(+.f64 -4 (-.f64 (fma.f64 t 4 (/.f64 4 t)) (/.f64 4 (*.f64 t t)))) |
(fma.f64 4 (+.f64 t (-.f64 (/.f64 1 t) (/.f64 (/.f64 1 t) t))) -4) |
(*.f64 4 t) |
(*.f64 t 4) |
(-.f64 (*.f64 4 t) 4) |
(fma.f64 4 t -4) |
(fma.f64 t 4 -4) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 t)) 4) |
(+.f64 (/.f64 4 t) (fma.f64 4 t -4)) |
(+.f64 -4 (fma.f64 t 4 (/.f64 4 t))) |
(fma.f64 t 4 (+.f64 -4 (/.f64 4 t))) |
(+.f64 (fma.f64 t 4 -4) (/.f64 4 t)) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 t)) (+.f64 4 (*.f64 4 (/.f64 1 (pow.f64 t 2))))) |
(-.f64 (+.f64 (/.f64 4 t) (fma.f64 4 t -4)) (/.f64 4 (*.f64 t t))) |
(+.f64 (fma.f64 t 4 (/.f64 4 t)) (-.f64 -4 (/.f64 4 (*.f64 t t)))) |
(+.f64 (fma.f64 t 4 -4) (-.f64 (/.f64 4 t) (/.f64 4 (*.f64 t t)))) |
(+.f64 -4 (-.f64 (fma.f64 t 4 (/.f64 4 t)) (/.f64 4 (*.f64 t t)))) |
(fma.f64 4 (+.f64 t (-.f64 (/.f64 1 t) (/.f64 (/.f64 1 t) t))) -4) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2) | |
| 0.0b | (exp.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2)) | |
| 0.8b | (log.f64 (exp.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2))) | |
| ✓ | 17.6b | (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) |
Compiled 137 to 97 computations (29.2% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | t | @ | 0 | (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) |
| 0.0ms | t | @ | -inf | (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) |
| 0.0ms | t | @ | inf | (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) |
| 1× | batch-egg-rewrite |
| 909× | pow1_binary64 |
| 856× | log1p-expm1-u_binary64 |
| 856× | expm1-log1p-u_binary64 |
| 855× | add-log-exp_binary64 |
| 838× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 174 | 13 |
| 2 | 2359 | 13 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 4 (/.f64 (+.f64 t 1) (*.f64 t t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (*.f64 t t) (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 1 (/.f64 (+.f64 t 1) (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (*.f64 t t) (/.f64 1 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t t) (*.f64 4 (/.f64 1 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (*.f64 t t)) (/.f64 1 (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 4 (/.f64 (+.f64 t 1) (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (/.f64 (+.f64 t 1) (*.f64 t t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4 (/.f64 (+.f64 t 1) (*.f64 t t)))) (pow.f64 (cbrt.f64 (/.f64 4 (/.f64 (+.f64 t 1) (*.f64 t t)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 4 (/.f64 (+.f64 t 1) (*.f64 t t)))) 2) (cbrt.f64 (/.f64 4 (/.f64 (+.f64 t 1) (*.f64 t t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 16 (pow.f64 t 4))) (*.f64 (cbrt.f64 (*.f64 4 (*.f64 t t))) (/.f64 1 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 t 2) (sqrt.f64 (+.f64 t 1))) (/.f64 (*.f64 t 2) (sqrt.f64 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t 2) (*.f64 (*.f64 t 2) (/.f64 1 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 t t) -4) (/.f64 1 (+.f64 -1 (neg.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 t 1)) (*.f64 4 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 t) (*.f64 t (/.f64 1 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 t t) 1) (/.f64 4 (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (+.f64 t 1)) (*.f64 t t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 16 (pow.f64 t 4))) 1) (/.f64 (cbrt.f64 (*.f64 4 (*.f64 t t))) (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 t 2) 1) (/.f64 (*.f64 t 2) (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 4 t) 1) (/.f64 t (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (pow.f64 (cbrt.f64 (+.f64 t 1)) 2)) (/.f64 (*.f64 t t) (cbrt.f64 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 t t) (pow.f64 (cbrt.f64 (+.f64 t 1)) 2)) (/.f64 4 (cbrt.f64 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 t 1)) 2)) (/.f64 (*.f64 4 (*.f64 t t)) (cbrt.f64 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 16 (pow.f64 t 4))) (pow.f64 (cbrt.f64 (+.f64 t 1)) 2)) (cbrt.f64 (/.f64 4 (/.f64 (+.f64 t 1) (*.f64 t t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 t 2) (pow.f64 (cbrt.f64 (+.f64 t 1)) 2)) (/.f64 (*.f64 t 2) (cbrt.f64 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 4 t) (pow.f64 (cbrt.f64 (+.f64 t 1)) 2)) (/.f64 t (cbrt.f64 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (sqrt.f64 (+.f64 t 1))) (/.f64 (*.f64 t t) (sqrt.f64 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 t t) (sqrt.f64 (+.f64 t 1))) (/.f64 4 (sqrt.f64 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 t 1))) (/.f64 (*.f64 4 (*.f64 t t)) (sqrt.f64 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 16 (pow.f64 t 4))) (sqrt.f64 (+.f64 t 1))) (/.f64 (cbrt.f64 (*.f64 4 (*.f64 t t))) (sqrt.f64 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 4 t) (sqrt.f64 (+.f64 t 1))) (/.f64 t (sqrt.f64 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 1 (pow.f64 t 3))) (fma.f64 t t (-.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 4 (*.f64 t t)) (fma.f64 t t -1)) (+.f64 t -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4 (/.f64 (+.f64 t 1) (*.f64 t t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 4 (/.f64 (+.f64 t 1) (*.f64 t t))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 4 (/.f64 (+.f64 t 1) (*.f64 t t)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 t 2) (sqrt.f64 (+.f64 t 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/4 (/.f64 (+.f64 t 1) (*.f64 t t))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 -1 (neg.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 16 (pow.f64 t 4)) (pow.f64 (+.f64 t 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 4 (/.f64 (+.f64 t 1) (*.f64 t t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 4 (/.f64 (+.f64 t 1) (*.f64 t t))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 4 (*.f64 t t)) 3) (pow.f64 (+.f64 t 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 4 (/.f64 (+.f64 t 1) (*.f64 t t)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 4 (/.f64 (+.f64 t 1) (*.f64 t t)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 4 (*.f64 t t))) (log1p.f64 t))))))) |
| 1× | egg-herbie |
| 622× | fma-neg_binary64 |
| 595× | associate-/l/_binary64 |
| 565× | times-frac_binary64 |
| 441× | distribute-lft-out_binary64 |
| 423× | fma-def_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 150 |
| 1 | 90 | 150 |
| 2 | 224 | 146 |
| 3 | 639 | 139 |
| 4 | 2017 | 139 |
| 5 | 4493 | 133 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 4 (pow.f64 t 2)) |
(+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))) |
(+.f64 (*.f64 4 (pow.f64 t 4)) (+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))) |
(+.f64 (*.f64 4 (pow.f64 t 4)) (+.f64 (*.f64 -4 (pow.f64 t 3)) (+.f64 (*.f64 -4 (pow.f64 t 5)) (*.f64 4 (pow.f64 t 2))))) |
(*.f64 4 t) |
(-.f64 (*.f64 4 t) 4) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 t)) 4) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 t)) (+.f64 4 (*.f64 4 (/.f64 1 (pow.f64 t 2))))) |
(*.f64 4 t) |
(-.f64 (*.f64 4 t) 4) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 t)) 4) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 t)) (+.f64 4 (*.f64 4 (/.f64 1 (pow.f64 t 2))))) |
| Outputs |
|---|
(*.f64 4 (pow.f64 t 2)) |
(*.f64 4 (*.f64 t t)) |
(+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))) |
(fma.f64 -4 (pow.f64 t 3) (*.f64 4 (*.f64 t t))) |
(fma.f64 4 (*.f64 t t) (*.f64 -4 (pow.f64 t 3))) |
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -4))) |
(*.f64 (*.f64 t t) (fma.f64 t -4 4)) |
(+.f64 (*.f64 4 (pow.f64 t 4)) (+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))) |
(fma.f64 4 (pow.f64 t 4) (fma.f64 -4 (pow.f64 t 3) (*.f64 4 (*.f64 t t)))) |
(fma.f64 4 (pow.f64 t 4) (fma.f64 4 (*.f64 t t) (*.f64 -4 (pow.f64 t 3)))) |
(fma.f64 4 (pow.f64 t 4) (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -4)))) |
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (fma.f64 4 t -4)))) |
(*.f64 t (*.f64 t (+.f64 4 (*.f64 t (fma.f64 4 t -4))))) |
(+.f64 (*.f64 4 (pow.f64 t 4)) (+.f64 (*.f64 -4 (pow.f64 t 3)) (+.f64 (*.f64 -4 (pow.f64 t 5)) (*.f64 4 (pow.f64 t 2))))) |
(fma.f64 4 (pow.f64 t 4) (fma.f64 -4 (pow.f64 t 3) (fma.f64 -4 (pow.f64 t 5) (*.f64 4 (*.f64 t t))))) |
(fma.f64 4 (pow.f64 t 4) (fma.f64 -4 (pow.f64 t 3) (fma.f64 4 (*.f64 t t) (*.f64 -4 (pow.f64 t 5))))) |
(fma.f64 -4 (+.f64 (pow.f64 t 3) (pow.f64 t 5)) (*.f64 4 (+.f64 (pow.f64 t 4) (*.f64 t t)))) |
(fma.f64 4 (fma.f64 t t (pow.f64 t 4)) (*.f64 -4 (+.f64 (pow.f64 t 3) (pow.f64 t 5)))) |
(*.f64 (*.f64 (pow.f64 t 3/2) (fma.f64 t -4 4)) (+.f64 (pow.f64 t 5/2) (sqrt.f64 t))) |
(*.f64 4 t) |
(-.f64 (*.f64 4 t) 4) |
(fma.f64 4 t -4) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 t)) 4) |
(+.f64 (/.f64 4 t) (fma.f64 4 t -4)) |
(+.f64 -4 (fma.f64 4 t (/.f64 4 t))) |
(fma.f64 4 t (+.f64 -4 (/.f64 4 t))) |
(+.f64 (fma.f64 4 t -4) (/.f64 4 t)) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 t)) (+.f64 4 (*.f64 4 (/.f64 1 (pow.f64 t 2))))) |
(-.f64 (+.f64 (/.f64 4 t) (fma.f64 4 t -4)) (/.f64 4 (*.f64 t t))) |
(+.f64 (fma.f64 4 t (/.f64 4 t)) (-.f64 -4 (/.f64 4 (*.f64 t t)))) |
(+.f64 (fma.f64 4 t (+.f64 -4 (/.f64 4 t))) (/.f64 -4 (*.f64 t t))) |
(+.f64 (/.f64 4 t) (+.f64 (fma.f64 4 t -4) (/.f64 -4 (*.f64 t t)))) |
(+.f64 -4 (+.f64 (fma.f64 4 t (/.f64 4 t)) (/.f64 -4 (*.f64 t t)))) |
(fma.f64 4 t (fma.f64 (/.f64 1 t) (-.f64 4 (/.f64 4 t)) -4)) |
(*.f64 4 t) |
(-.f64 (*.f64 4 t) 4) |
(fma.f64 4 t -4) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 t)) 4) |
(+.f64 (/.f64 4 t) (fma.f64 4 t -4)) |
(+.f64 -4 (fma.f64 4 t (/.f64 4 t))) |
(fma.f64 4 t (+.f64 -4 (/.f64 4 t))) |
(+.f64 (fma.f64 4 t -4) (/.f64 4 t)) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 t)) (+.f64 4 (*.f64 4 (/.f64 1 (pow.f64 t 2))))) |
(-.f64 (+.f64 (/.f64 4 t) (fma.f64 4 t -4)) (/.f64 4 (*.f64 t t))) |
(+.f64 (fma.f64 4 t (/.f64 4 t)) (-.f64 -4 (/.f64 4 (*.f64 t t)))) |
(+.f64 (fma.f64 4 t (+.f64 -4 (/.f64 4 t))) (/.f64 -4 (*.f64 t t))) |
(+.f64 (/.f64 4 t) (+.f64 (fma.f64 4 t -4) (/.f64 -4 (*.f64 t t)))) |
(+.f64 -4 (+.f64 (fma.f64 4 t (/.f64 4 t)) (/.f64 -4 (*.f64 t t)))) |
(fma.f64 4 t (fma.f64 (/.f64 1 t) (-.f64 4 (/.f64 4 t)) -4)) |
Compiled 26129 to 20582 computations (21.2% saved)
13 alts after pruning (10 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 943 | 6 | 949 |
| Fresh | 1 | 4 | 5 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 3 | 6 |
| Total | 948 | 13 | 961 |
| Status | Error | Program |
|---|---|---|
| ▶ | 61.8b | (/.f64 1 t) |
| ✓ | 30.5b | (/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
| 30.1b | (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) | |
| ✓ | 30.1b | (+.f64 5/6 (/.f64 -2/9 t)) |
| 18.8b | (/.f64 (+.f64 1 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))) | |
| ▶ | 0.0b | (/.f64 (+.f64 1 (-.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 4)) (/.f64 1 (-.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)))) 1)) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))) |
| ▶ | 18.4b | (/.f64 (+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) 1)) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))) |
| ✓ | 32.8b | (fma.f64 t t 1/2) |
| ▶ | 30.1b | (+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))) |
| 25.3b | 5/6 | |
| ▶ | 33.0b | (/.f64 (+.f64 1 (*.f64 (*.f64 t (+.f64 2 (*.f64 t (+.f64 -2 (*.f64 t 2))))) (*.f64 t 2))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
| 27.1b | 1/2 | |
| 32.8b | (/.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
Compiled 399 to 315 computations (21.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))) | |
| ✓ | 0.0b | (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2) |
| ✓ | 0.0b | (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 4) |
| ✓ | 0.8b | (-.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 4)) (/.f64 1 (-.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)))) 1) |
Compiled 243 to 196 computations (19.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | 0 | (-.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 4)) (/.f64 1 (-.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)))) 1) |
| 1.0ms | t | @ | inf | (-.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 4)) (/.f64 1 (-.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)))) 1) |
| 1.0ms | t | @ | -inf | (-.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 4)) (/.f64 1 (-.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)))) 1) |
| 1.0ms | t | @ | 0 | (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 4) |
| 1.0ms | t | @ | inf | (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 4) |
| 1× | batch-egg-rewrite |
| 765× | log-prod_binary64 |
| 481× | fma-def_binary64 |
| 284× | fma-neg_binary64 |
| 265× | expm1-udef_binary64 |
| 263× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 87 |
| 1 | 361 | 39 |
| 2 | 4963 | 39 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 4)) (/.f64 1 (-.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)))) 1) |
(pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 4) |
(pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 768× | fma-def_binary64 |
| 609× | times-frac_binary64 |
| 506× | unswap-sqr_binary64 |
| 475× | associate-*l*_binary64 |
| 357× | associate-*r*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 504 |
| 1 | 182 | 504 |
| 2 | 469 | 498 |
| 3 | 1313 | 486 |
| 4 | 4631 | 484 |
| 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 (*.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))))) |
(*.f64 16 (pow.f64 t 4)) |
(+.f64 (*.f64 -64 (pow.f64 t 5)) (*.f64 16 (pow.f64 t 4))) |
(+.f64 (*.f64 -64 (pow.f64 t 5)) (+.f64 (*.f64 160 (pow.f64 t 6)) (*.f64 16 (pow.f64 t 4)))) |
(+.f64 (*.f64 -64 (pow.f64 t 5)) (+.f64 (*.f64 160 (pow.f64 t 6)) (+.f64 (*.f64 -320 (pow.f64 t 7)) (*.f64 16 (pow.f64 t 4))))) |
16 |
(-.f64 16 (*.f64 64 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 160 (/.f64 1 (pow.f64 t 2))) 16) (*.f64 64 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 160 (/.f64 1 (pow.f64 t 2))) 16) (+.f64 (*.f64 320 (/.f64 1 (pow.f64 t 3))) (*.f64 64 (/.f64 1 t)))) |
16 |
(-.f64 16 (*.f64 64 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 160 (/.f64 1 (pow.f64 t 2))) 16) (*.f64 64 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 160 (/.f64 1 (pow.f64 t 2))) 16) (+.f64 (*.f64 320 (/.f64 1 (pow.f64 t 3))) (*.f64 64 (/.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))))) |
| 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 t 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 12 (pow.f64 t 4) (*.f64 4 (*.f64 t t)))) |
(fma.f64 12 (pow.f64 t 4) (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))) |
(fma.f64 (*.f64 t t) (fma.f64 t -8 4) (*.f64 12 (pow.f64 t 4))) |
(+.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 4 (*.f64 t t))))) |
(fma.f64 -16 (pow.f64 t 5) (fma.f64 12 (pow.f64 t 4) (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))))) |
(fma.f64 (*.f64 t t) (fma.f64 t -8 4) (fma.f64 12 (pow.f64 t 4) (*.f64 -16 (pow.f64 t 5)))) |
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 4 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t))) |
(+.f64 (-.f64 4 (/.f64 8 t)) (/.f64 12 (*.f64 t t))) |
(-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) -4)) |
(-.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 12 (*.f64 t t)) (+.f64 (+.f64 (/.f64 8 t) -4) (/.f64 16 (pow.f64 t 3)))) |
(+.f64 4 (+.f64 (/.f64 -8 t) (+.f64 (/.f64 12 (*.f64 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 4 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t))) |
(+.f64 (-.f64 4 (/.f64 8 t)) (/.f64 12 (*.f64 t t))) |
(-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) -4)) |
(-.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 12 (*.f64 t t)) (+.f64 (+.f64 (/.f64 8 t) -4) (/.f64 16 (pow.f64 t 3)))) |
(+.f64 4 (+.f64 (/.f64 -8 t) (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -16 (pow.f64 t 3))))) |
(*.f64 16 (pow.f64 t 4)) |
(*.f64 (pow.f64 t 4) 16) |
(+.f64 (*.f64 -64 (pow.f64 t 5)) (*.f64 16 (pow.f64 t 4))) |
(fma.f64 -64 (pow.f64 t 5) (*.f64 (pow.f64 t 4) 16)) |
(fma.f64 (pow.f64 t 4) 16 (*.f64 (pow.f64 t 5) -64)) |
(+.f64 (*.f64 -64 (pow.f64 t 5)) (+.f64 (*.f64 160 (pow.f64 t 6)) (*.f64 16 (pow.f64 t 4)))) |
(fma.f64 -64 (pow.f64 t 5) (fma.f64 160 (pow.f64 t 6) (*.f64 (pow.f64 t 4) 16))) |
(fma.f64 (pow.f64 t 5) -64 (fma.f64 (pow.f64 t 4) 16 (*.f64 160 (pow.f64 t 6)))) |
(fma.f64 (pow.f64 t 4) 16 (fma.f64 160 (pow.f64 t 6) (*.f64 (pow.f64 t 5) -64))) |
(fma.f64 (pow.f64 t 4) 16 (*.f64 (pow.f64 t 5) (+.f64 -64 (*.f64 t 160)))) |
(+.f64 (*.f64 -64 (pow.f64 t 5)) (+.f64 (*.f64 160 (pow.f64 t 6)) (+.f64 (*.f64 -320 (pow.f64 t 7)) (*.f64 16 (pow.f64 t 4))))) |
(fma.f64 -64 (pow.f64 t 5) (fma.f64 160 (pow.f64 t 6) (fma.f64 -320 (pow.f64 t 7) (*.f64 (pow.f64 t 4) 16)))) |
(fma.f64 (pow.f64 t 5) -64 (fma.f64 160 (pow.f64 t 6) (fma.f64 (pow.f64 t 4) 16 (*.f64 -320 (pow.f64 t 7))))) |
(fma.f64 (pow.f64 t 5) -64 (fma.f64 (pow.f64 t 4) 16 (fma.f64 160 (pow.f64 t 6) (*.f64 -320 (pow.f64 t 7))))) |
(fma.f64 (pow.f64 t 4) 16 (fma.f64 160 (pow.f64 t 6) (fma.f64 -320 (pow.f64 t 7) (*.f64 (pow.f64 t 5) -64)))) |
(fma.f64 (pow.f64 t 4) 16 (fma.f64 -320 (pow.f64 t 7) (*.f64 (pow.f64 t 5) (+.f64 -64 (*.f64 t 160))))) |
16 |
(-.f64 16 (*.f64 64 (/.f64 1 t))) |
(-.f64 16 (/.f64 64 t)) |
(+.f64 16 (/.f64 -64 t)) |
(-.f64 (+.f64 (*.f64 160 (/.f64 1 (pow.f64 t 2))) 16) (*.f64 64 (/.f64 1 t))) |
(+.f64 (/.f64 160 (*.f64 t t)) (-.f64 16 (/.f64 64 t))) |
(+.f64 (+.f64 16 (/.f64 160 (*.f64 t t))) (/.f64 -64 t)) |
(+.f64 (-.f64 16 (/.f64 64 t)) (/.f64 160 (*.f64 t t))) |
(+.f64 16 (+.f64 (/.f64 160 (*.f64 t t)) (/.f64 -64 t))) |
(-.f64 16 (-.f64 (/.f64 64 t) (/.f64 160 (*.f64 t t)))) |
(-.f64 (+.f64 (*.f64 160 (/.f64 1 (pow.f64 t 2))) 16) (+.f64 (*.f64 320 (/.f64 1 (pow.f64 t 3))) (*.f64 64 (/.f64 1 t)))) |
(-.f64 (+.f64 16 (/.f64 160 (*.f64 t t))) (+.f64 (/.f64 64 t) (/.f64 320 (pow.f64 t 3)))) |
(+.f64 16 (-.f64 (/.f64 160 (*.f64 t t)) (+.f64 (/.f64 64 t) (/.f64 320 (pow.f64 t 3))))) |
(+.f64 (/.f64 160 (*.f64 t t)) (-.f64 (-.f64 16 (/.f64 64 t)) (/.f64 320 (pow.f64 t 3)))) |
(+.f64 16 (-.f64 (/.f64 -320 (pow.f64 t 3)) (-.f64 (/.f64 64 t) (/.f64 160 (*.f64 t t))))) |
(-.f64 (*.f64 (/.f64 1 (*.f64 t t)) (+.f64 160 (/.f64 -320 t))) (+.f64 (/.f64 64 t) -16)) |
16 |
(-.f64 16 (*.f64 64 (/.f64 1 t))) |
(-.f64 16 (/.f64 64 t)) |
(+.f64 16 (/.f64 -64 t)) |
(-.f64 (+.f64 (*.f64 160 (/.f64 1 (pow.f64 t 2))) 16) (*.f64 64 (/.f64 1 t))) |
(+.f64 (/.f64 160 (*.f64 t t)) (-.f64 16 (/.f64 64 t))) |
(+.f64 (+.f64 16 (/.f64 160 (*.f64 t t))) (/.f64 -64 t)) |
(+.f64 (-.f64 16 (/.f64 64 t)) (/.f64 160 (*.f64 t t))) |
(+.f64 16 (+.f64 (/.f64 160 (*.f64 t t)) (/.f64 -64 t))) |
(-.f64 16 (-.f64 (/.f64 64 t) (/.f64 160 (*.f64 t t)))) |
(-.f64 (+.f64 (*.f64 160 (/.f64 1 (pow.f64 t 2))) 16) (+.f64 (*.f64 320 (/.f64 1 (pow.f64 t 3))) (*.f64 64 (/.f64 1 t)))) |
(-.f64 (+.f64 16 (/.f64 160 (*.f64 t t))) (+.f64 (/.f64 64 t) (/.f64 320 (pow.f64 t 3)))) |
(+.f64 16 (-.f64 (/.f64 160 (*.f64 t t)) (+.f64 (/.f64 64 t) (/.f64 320 (pow.f64 t 3))))) |
(+.f64 (/.f64 160 (*.f64 t t)) (-.f64 (-.f64 16 (/.f64 64 t)) (/.f64 320 (pow.f64 t 3)))) |
(+.f64 16 (-.f64 (/.f64 -320 (pow.f64 t 3)) (-.f64 (/.f64 64 t) (/.f64 160 (*.f64 t t))))) |
(-.f64 (*.f64 (/.f64 1 (*.f64 t t)) (+.f64 160 (/.f64 -320 t))) (+.f64 (/.f64 64 t) -16)) |
(*.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 t 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 12 (pow.f64 t 4) (*.f64 4 (*.f64 t t)))) |
(fma.f64 12 (pow.f64 t 4) (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))) |
(fma.f64 (*.f64 t t) (fma.f64 t -8 4) (*.f64 12 (pow.f64 t 4))) |
(+.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 4 (*.f64 t t))))) |
(fma.f64 -16 (pow.f64 t 5) (fma.f64 12 (pow.f64 t 4) (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))))) |
(fma.f64 (*.f64 t t) (fma.f64 t -8 4) (fma.f64 12 (pow.f64 t 4) (*.f64 -16 (pow.f64 t 5)))) |
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 4 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t))) |
(+.f64 (-.f64 4 (/.f64 8 t)) (/.f64 12 (*.f64 t t))) |
(-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) -4)) |
(-.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 12 (*.f64 t t)) (+.f64 (+.f64 (/.f64 8 t) -4) (/.f64 16 (pow.f64 t 3)))) |
(+.f64 4 (+.f64 (/.f64 -8 t) (+.f64 (/.f64 12 (*.f64 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 4 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t))) |
(+.f64 (-.f64 4 (/.f64 8 t)) (/.f64 12 (*.f64 t t))) |
(-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) -4)) |
(-.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 12 (*.f64 t t)) (+.f64 (+.f64 (/.f64 8 t) -4) (/.f64 16 (pow.f64 t 3)))) |
(+.f64 4 (+.f64 (/.f64 -8 t) (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -16 (pow.f64 t 3))))) |
Compiled 6 to 4 computations (33.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)) |
| ✓ | 0.0b | (+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))) |
| ✓ | 0.2b | (/.f64 1/27 (*.f64 t t)) |
| 0.3b | (/.f64 -2/9 t) |
Compiled 36 to 21 computations (41.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | t | @ | 0 | (/.f64 1/27 (*.f64 t t)) |
| 1.0ms | t | @ | inf | (/.f64 1/27 (*.f64 t t)) |
| 1.0ms | t | @ | 0 | (+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))) |
| 1.0ms | t | @ | 0 | (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)) |
| 1.0ms | t | @ | inf | (+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))) |
| 1× | batch-egg-rewrite |
| 499× | log-prod_binary64 |
| 412× | fma-def_binary64 |
| 344× | pow-prod-down_binary64 |
| 312× | pow2_binary64 |
| 255× | log-div_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 36 |
| 1 | 245 | 32 |
| 2 | 3606 | 32 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1/27 (*.f64 t t)) |
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/27 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/27) (pow.f64 t -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/27) (pow.f64 t -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/27) (pow.f64 t -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/27) (pow.f64 t -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/27 (pow.f64 t -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/27 (pow.f64 t -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/27 (pow.f64 t -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/27 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/27 (pow.f64 t -2))) (cbrt.f64 (/.f64 1/729 (pow.f64 t 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/729 (pow.f64 t 4))) (cbrt.f64 (*.f64 1/27 (pow.f64 t -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/27) t) (/.f64 (sqrt.f64 1/27) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/27 (/.f64 1 (*.f64 t (neg.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 t -2) 1/27)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/27 t) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/27 (pow.f64 t -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/729 (pow.f64 t 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/27 (pow.f64 t -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/27) t) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/19683 (pow.f64 t 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 t t) 27) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (*.f64 t t) 27) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/729 (pow.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/27) (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/27 (pow.f64 t -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1/19683 (pow.f64 t 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/27 (pow.f64 t -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/27 (pow.f64 t -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/27 (pow.f64 t -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/27 (pow.f64 t -2))) 1)))))) |
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t) -2/9 (*.f64 1/27 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/27 t) (/.f64 1 t) (/.f64 -2/9 t)))))) |
| 1× | egg-herbie |
| 589× | distribute-neg-frac_binary64 |
| 452× | fma-neg_binary64 |
| 450× | div-sub_binary64 |
| 434× | unswap-sqr_binary64 |
| 391× | cancel-sign-sub-inv_binary64 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 348 |
| 1 | 47 | 348 |
| 2 | 79 | 348 |
| 3 | 142 | 348 |
| 4 | 292 | 348 |
| 5 | 822 | 348 |
| 6 | 3584 | 336 |
| 7 | 6916 | 336 |
| 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 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t))) |
5/6 |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t))) |
5/6 |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t))) |
(/.f64 1/27 (pow.f64 t 2)) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(/.f64 -2/9 t) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(/.f64 -2/9 t) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
| 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 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t)) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)) |
(-.f64 (+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t))) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t))) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t))) |
(fma.f64 (/.f64 1 t) (+.f64 -2/9 (/.f64 1/27 t)) 5/6) |
(-.f64 (+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t))) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t))) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t))) |
(fma.f64 (/.f64 1 t) (+.f64 -2/9 (/.f64 1/27 t)) 5/6) |
5/6 |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (/.f64 2/9 t)) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t))) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t))) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t))) |
(fma.f64 (/.f64 1 t) (+.f64 -2/9 (/.f64 1/27 t)) 5/6) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t))) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t))) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t))) |
(fma.f64 (/.f64 1 t) (+.f64 -2/9 (/.f64 1/27 t)) 5/6) |
5/6 |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (/.f64 2/9 t)) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t))) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t))) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t))) |
(fma.f64 (/.f64 1 t) (+.f64 -2/9 (/.f64 1/27 t)) 5/6) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t))) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t))) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t))) |
(fma.f64 (/.f64 1 t) (+.f64 -2/9 (/.f64 1/27 t)) 5/6) |
(/.f64 1/27 (pow.f64 t 2)) |
(/.f64 1/27 (*.f64 t t)) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t)) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t)) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t)) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)) |
(/.f64 -2/9 t) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t)) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t)) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t)) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)) |
(/.f64 -2/9 t) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t)) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t)) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t)) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 4 (*.f64 t t)) | |
| ✓ | 0.0b | (*.f64 t (+.f64 2 (*.f64 t (+.f64 -2 (*.f64 t 2))))) |
| ✓ | 0.0b | (*.f64 (*.f64 t (+.f64 2 (*.f64 t (+.f64 -2 (*.f64 t 2))))) (*.f64 t 2)) |
| ✓ | 22.4b | (/.f64 (+.f64 1 (*.f64 (*.f64 t (+.f64 2 (*.f64 t (+.f64 -2 (*.f64 t 2))))) (*.f64 t 2))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
Compiled 113 to 80 computations (29.2% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | inf | (/.f64 (+.f64 1 (*.f64 (*.f64 t (+.f64 2 (*.f64 t (+.f64 -2 (*.f64 t 2))))) (*.f64 t 2))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
| 1.0ms | t | @ | 0 | (/.f64 (+.f64 1 (*.f64 (*.f64 t (+.f64 2 (*.f64 t (+.f64 -2 (*.f64 t 2))))) (*.f64 t 2))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
| 1.0ms | t | @ | inf | (*.f64 (*.f64 t (+.f64 2 (*.f64 t (+.f64 -2 (*.f64 t 2))))) (*.f64 t 2)) |
| 1.0ms | t | @ | -inf | (*.f64 (*.f64 t (+.f64 2 (*.f64 t (+.f64 -2 (*.f64 t 2))))) (*.f64 t 2)) |
| 1.0ms | t | @ | -inf | (/.f64 (+.f64 1 (*.f64 (*.f64 t (+.f64 2 (*.f64 t (+.f64 -2 (*.f64 t 2))))) (*.f64 t 2))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
| 1× | batch-egg-rewrite |
| 419× | fma-neg_binary64 |
| 328× | expm1-udef_binary64 |
| 328× | log1p-udef_binary64 |
| 259× | log-pow_binary64 |
| 201× | log-div_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 75 |
| 1 | 393 | 59 |
| 2 | 5684 | 59 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 1 (*.f64 (*.f64 t (+.f64 2 (*.f64 t (+.f64 -2 (*.f64 t 2))))) (*.f64 t 2))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
(*.f64 (*.f64 t (+.f64 2 (*.f64 t (+.f64 -2 (*.f64 t 2))))) (*.f64 t 2)) |
(*.f64 t (+.f64 2 (*.f64 t (+.f64 -2 (*.f64 t 2))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1) (fma.f64 4 (*.f64 t t) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1) (fma.f64 4 (*.f64 t t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1) (/.f64 1 (fma.f64 4 (*.f64 t t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1) (fma.f64 4 (*.f64 t t) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1)) 2) (*.f64 (cbrt.f64 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1)) (/.f64 1 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 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((x *.f64 (neg.f64 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1)) (/.f64 1 (neg.f64 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 4 (*.f64 t t) 2)) (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1)) (fma.f64 4 (*.f64 t t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1)) 1) (/.f64 (sqrt.f64 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1)) (fma.f64 4 (*.f64 t t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 4 (*.f64 t t) 2) 2))) (/.f64 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1) (cbrt.f64 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1)) 2) (cbrt.f64 (pow.f64 (fma.f64 4 (*.f64 t t) 2) 2))) (cbrt.f64 (/.f64 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1) (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1)) (cbrt.f64 (pow.f64 (fma.f64 4 (*.f64 t t) 2) 2))) (/.f64 (sqrt.f64 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1)) (cbrt.f64 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 4 (*.f64 t t) 2))) (/.f64 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1) (sqrt.f64 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1)) 2) (sqrt.f64 (fma.f64 4 (*.f64 t t) 2))) (/.f64 (cbrt.f64 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1)) (sqrt.f64 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1) (+.f64 8 (*.f64 (pow.f64 (*.f64 t t) 3) 64))) (+.f64 4 (-.f64 (*.f64 (pow.f64 t 4) 16) (*.f64 8 (*.f64 t t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1) (-.f64 4 (*.f64 (pow.f64 t 4) 16))) (+.f64 2 (*.f64 -4 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1) (fma.f64 4 (*.f64 t t) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1) (fma.f64 4 (*.f64 t t) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1) (fma.f64 4 (*.f64 t t) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1) (fma.f64 4 (*.f64 t t) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 4 (*.f64 t t) 2) (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1) (neg.f64 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1) (fma.f64 4 (*.f64 t t) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1) (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1) (fma.f64 4 (*.f64 t t) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1) (fma.f64 4 (*.f64 t t) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1) 3) (pow.f64 (fma.f64 4 (*.f64 t t) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1) (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1) (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1) (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1) (fma.f64 4 (*.f64 t t) 2))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 4 (*.f64 t t)) (*.f64 (*.f64 t 2) (*.f64 (fma.f64 t 2 -2) (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 4 (*.f64 t t)) (*.f64 (*.f64 (fma.f64 t 2 -2) (*.f64 t t)) (*.f64 t 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 t (fma.f64 t 2 -2) 2) (*.f64 2 (*.f64 t t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 t (fma.f64 t 2 -2) 2) (*.f64 2 (*.f64 t t)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 t (fma.f64 t 2 -2) 2) (*.f64 2 (*.f64 t t)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 t (fma.f64 t 2 -2) 2) (*.f64 2 (*.f64 t t))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 t (fma.f64 t 2 -2) 2) (*.f64 2 (*.f64 t t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 t) 2) (*.f64 t (fma.f64 t (fma.f64 t 2 -2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 t (fma.f64 t 2 -2) 2) (*.f64 2 (*.f64 t t))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 t (fma.f64 t 2 -2) 2) (*.f64 2 (*.f64 t t))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 t (fma.f64 t 2 -2) 2) (*.f64 2 (*.f64 t t)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (*.f64 (fma.f64 t (fma.f64 t 2 -2) 2) (*.f64 2 (*.f64 t t)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 t (fma.f64 t 2 -2) 2) (*.f64 2 (*.f64 t t)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 t (fma.f64 t 2 -2) 2) (*.f64 2 (*.f64 t t)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 t (fma.f64 t 2 -2) 2) (*.f64 2 (*.f64 t t)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1)) (pow.f64 (cbrt.f64 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1)) 2) (cbrt.f64 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1)) (sqrt.f64 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (*.f64 (fma.f64 t (fma.f64 t 2 -2) 2) (*.f64 2 (*.f64 t t))) 3)) (/.f64 1 (+.f64 1 (*.f64 (*.f64 (fma.f64 t (fma.f64 t 2 -2) 2) (*.f64 2 (*.f64 t t))) (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) -1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (*.f64 (fma.f64 t (fma.f64 t 2 -2) 2) (*.f64 2 (*.f64 t t))) 2)) (/.f64 1 (-.f64 1 (*.f64 (fma.f64 t (fma.f64 t 2 -2) 2) (*.f64 2 (*.f64 t t))))) -1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 t 2) (*.f64 (fma.f64 t 2 -2) (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 t 2) (*.f64 (*.f64 (fma.f64 t 2 -2) (*.f64 t t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 t 2 -2) (*.f64 t t)) (*.f64 t 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 t (fma.f64 t (fma.f64 t 2 -2) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 t 3) 8) (pow.f64 (*.f64 (fma.f64 t 2 -2) (*.f64 t t)) 3)) (+.f64 (*.f64 4 (*.f64 t t)) (-.f64 (*.f64 (*.f64 (fma.f64 t 2 -2) (*.f64 t t)) (*.f64 (fma.f64 t 2 -2) (*.f64 t t))) (*.f64 (*.f64 t 2) (*.f64 (fma.f64 t 2 -2) (*.f64 t t))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 4 (*.f64 t t)) (*.f64 (*.f64 (fma.f64 t 2 -2) (*.f64 t t)) (*.f64 (fma.f64 t 2 -2) (*.f64 t t)))) (-.f64 (*.f64 t 2) (*.f64 (fma.f64 t 2 -2) (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 8 (pow.f64 (*.f64 t (fma.f64 t 2 -2)) 3)) t) (+.f64 4 (*.f64 (*.f64 t (fma.f64 t 2 -2)) (fma.f64 t (fma.f64 t 2 -2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 4 (pow.f64 (*.f64 t (fma.f64 t 2 -2)) 2)) t) (-.f64 2 (*.f64 t (fma.f64 t 2 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t (+.f64 8 (pow.f64 (*.f64 t (fma.f64 t 2 -2)) 3))) (+.f64 4 (*.f64 (*.f64 t (fma.f64 t 2 -2)) (fma.f64 t (fma.f64 t 2 -2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t (-.f64 4 (pow.f64 (*.f64 t (fma.f64 t 2 -2)) 2))) (-.f64 2 (*.f64 t (fma.f64 t 2 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (fma.f64 t (fma.f64 t 2 -2) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t (fma.f64 t (fma.f64 t 2 -2) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 t (fma.f64 t (fma.f64 t 2 -2) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 t (fma.f64 t (fma.f64 t 2 -2) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 t (fma.f64 t (fma.f64 t 2 -2) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 t (fma.f64 t 2 -2) 2)) t))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 t (fma.f64 t (fma.f64 t 2 -2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 t 2))) (exp.f64 (*.f64 (fma.f64 t 2 -2) (*.f64 t t)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (fma.f64 t 2 -2) (*.f64 t t))) (pow.f64 (exp.f64 t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (fma.f64 t 2 -2) (*.f64 t t))) (+.f64 1 (expm1.f64 (*.f64 t 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 t (fma.f64 t (fma.f64 t 2 -2) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 t 3) (pow.f64 (fma.f64 t (fma.f64 t 2 -2) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 t (fma.f64 t 2 -2) 2) 3) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t (fma.f64 t (fma.f64 t 2 -2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t (fma.f64 t (fma.f64 t 2 -2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 t (fma.f64 t (fma.f64 t 2 -2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 t (fma.f64 t (fma.f64 t 2 -2) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 t 2) (*.f64 (fma.f64 t 2 -2) (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 t 2 (*.f64 (fma.f64 t 2 -2) (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 t (*.f64 (fma.f64 t 2 -2) (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 t 2)) 2) (cbrt.f64 (*.f64 t 2)) (*.f64 (fma.f64 t 2 -2) (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 t 2)) (sqrt.f64 (*.f64 t 2)) (*.f64 (fma.f64 t 2 -2) (*.f64 t t))))))) |
| 1× | egg-herbie |
| 535× | fma-def_binary64 |
| 485× | distribute-lft-out_binary64 |
| 396× | distribute-rgt-out_binary64 |
| 341× | *-commutative_binary64 |
| 327× | fma-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 477 |
| 1 | 113 | 459 |
| 2 | 276 | 441 |
| 3 | 807 | 401 |
| 4 | 2426 | 401 |
| 5 | 4584 | 401 |
| 6 | 6890 | 401 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (pow.f64 t 2)) |
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2))) |
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (*.f64 4 (pow.f64 t 5)) (pow.f64 t 2)))) |
(pow.f64 t 2) |
(+.f64 (*.f64 -1 t) (pow.f64 t 2)) |
(+.f64 (*.f64 -1 t) (+.f64 1/2 (pow.f64 t 2))) |
(+.f64 (*.f64 -1 t) (+.f64 1/2 (+.f64 (pow.f64 t 2) (*.f64 1/2 (/.f64 1 t))))) |
(pow.f64 t 2) |
(+.f64 (*.f64 -1 t) (pow.f64 t 2)) |
(+.f64 (*.f64 -1 t) (+.f64 1/2 (pow.f64 t 2))) |
(+.f64 (*.f64 -1 t) (+.f64 1/2 (+.f64 (pow.f64 t 2) (*.f64 1/2 (/.f64 1 t))))) |
(*.f64 4 (pow.f64 t 2)) |
(+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))) |
(+.f64 (*.f64 4 (pow.f64 t 4)) (+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))) |
(+.f64 (*.f64 4 (pow.f64 t 4)) (+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))) |
(*.f64 4 (pow.f64 t 4)) |
(+.f64 (*.f64 4 (pow.f64 t 4)) (*.f64 -4 (pow.f64 t 3))) |
(+.f64 (*.f64 4 (pow.f64 t 4)) (+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))) |
(+.f64 (*.f64 4 (pow.f64 t 4)) (+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))) |
(*.f64 4 (pow.f64 t 4)) |
(+.f64 (*.f64 4 (pow.f64 t 4)) (*.f64 -4 (pow.f64 t 3))) |
(+.f64 (*.f64 4 (pow.f64 t 4)) (+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))) |
(+.f64 (*.f64 4 (pow.f64 t 4)) (+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))) |
(*.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 2 (pow.f64 t 3)))) |
(*.f64 2 (pow.f64 t 3)) |
(+.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 2 (pow.f64 t 3)))) |
(+.f64 (*.f64 2 t) (+.f64 (*.f64 -2 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 3)))) |
(*.f64 2 (pow.f64 t 3)) |
(+.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 2 (pow.f64 t 3)))) |
(+.f64 (*.f64 2 t) (+.f64 (*.f64 -2 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 3)))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (pow.f64 t 2)) |
(+.f64 1/2 (*.f64 t t)) |
(fma.f64 t t 1/2) |
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2))) |
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (*.f64 t t))) |
(fma.f64 -2 (pow.f64 t 3) (fma.f64 t t 1/2)) |
(fma.f64 t t (fma.f64 -2 (pow.f64 t 3) 1/2)) |
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (*.f64 4 (pow.f64 t 5)) (pow.f64 t 2)))) |
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (fma.f64 4 (pow.f64 t 5) (*.f64 t t)))) |
(+.f64 (fma.f64 -2 (pow.f64 t 3) (fma.f64 t t 1/2)) (*.f64 4 (pow.f64 t 5))) |
(fma.f64 -2 (pow.f64 t 3) (fma.f64 4 (pow.f64 t 5) (fma.f64 t t 1/2))) |
(fma.f64 t (*.f64 (fma.f64 t -2 1) t) (fma.f64 4 (pow.f64 t 5) 1/2)) |
(fma.f64 t (*.f64 t (fma.f64 t -2 1)) (fma.f64 4 (pow.f64 t 5) 1/2)) |
(pow.f64 t 2) |
(*.f64 t t) |
(+.f64 (*.f64 -1 t) (pow.f64 t 2)) |
(fma.f64 -1 t (*.f64 t t)) |
(-.f64 (*.f64 t t) t) |
(+.f64 (*.f64 -1 t) (+.f64 1/2 (pow.f64 t 2))) |
(fma.f64 -1 t (+.f64 1/2 (*.f64 t t))) |
(-.f64 (fma.f64 t t 1/2) t) |
(+.f64 (*.f64 -1 t) (+.f64 1/2 (+.f64 (pow.f64 t 2) (*.f64 1/2 (/.f64 1 t))))) |
(fma.f64 -1 t (+.f64 1/2 (+.f64 (*.f64 t t) (/.f64 1/2 t)))) |
(-.f64 (+.f64 1/2 (fma.f64 t t (/.f64 1/2 t))) t) |
(+.f64 (fma.f64 t t 1/2) (-.f64 (/.f64 1/2 t) t)) |
(+.f64 1/2 (fma.f64 t t (-.f64 (/.f64 1/2 t) t))) |
(+.f64 1/2 (-.f64 (fma.f64 t t (/.f64 1/2 t)) t)) |
(pow.f64 t 2) |
(*.f64 t t) |
(+.f64 (*.f64 -1 t) (pow.f64 t 2)) |
(fma.f64 -1 t (*.f64 t t)) |
(-.f64 (*.f64 t t) t) |
(+.f64 (*.f64 -1 t) (+.f64 1/2 (pow.f64 t 2))) |
(fma.f64 -1 t (+.f64 1/2 (*.f64 t t))) |
(-.f64 (fma.f64 t t 1/2) t) |
(+.f64 (*.f64 -1 t) (+.f64 1/2 (+.f64 (pow.f64 t 2) (*.f64 1/2 (/.f64 1 t))))) |
(fma.f64 -1 t (+.f64 1/2 (+.f64 (*.f64 t t) (/.f64 1/2 t)))) |
(-.f64 (+.f64 1/2 (fma.f64 t t (/.f64 1/2 t))) t) |
(+.f64 (fma.f64 t t 1/2) (-.f64 (/.f64 1/2 t) t)) |
(+.f64 1/2 (fma.f64 t t (-.f64 (/.f64 1/2 t) t))) |
(+.f64 1/2 (-.f64 (fma.f64 t t (/.f64 1/2 t)) t)) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 (*.f64 t t) 4) |
(*.f64 t (*.f64 t 4)) |
(+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))) |
(fma.f64 -4 (pow.f64 t 3) (*.f64 (*.f64 t t) 4)) |
(fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -4)) |
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -4))) |
(*.f64 t (*.f64 t (fma.f64 t -4 4))) |
(+.f64 (*.f64 4 (pow.f64 t 4)) (+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))) |
(fma.f64 4 (pow.f64 t 4) (fma.f64 -4 (pow.f64 t 3) (*.f64 (*.f64 t t) 4))) |
(fma.f64 4 (pow.f64 t 4) (fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -4))) |
(fma.f64 (pow.f64 t 3) -4 (*.f64 4 (+.f64 (*.f64 t t) (pow.f64 t 4)))) |
(fma.f64 t (*.f64 t (fma.f64 t -4 4)) (*.f64 4 (pow.f64 t 4))) |
(+.f64 (*.f64 4 (pow.f64 t 4)) (+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))) |
(fma.f64 4 (pow.f64 t 4) (fma.f64 -4 (pow.f64 t 3) (*.f64 (*.f64 t t) 4))) |
(fma.f64 4 (pow.f64 t 4) (fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -4))) |
(fma.f64 (pow.f64 t 3) -4 (*.f64 4 (+.f64 (*.f64 t t) (pow.f64 t 4)))) |
(fma.f64 t (*.f64 t (fma.f64 t -4 4)) (*.f64 4 (pow.f64 t 4))) |
(*.f64 4 (pow.f64 t 4)) |
(+.f64 (*.f64 4 (pow.f64 t 4)) (*.f64 -4 (pow.f64 t 3))) |
(fma.f64 4 (pow.f64 t 4) (*.f64 (pow.f64 t 3) -4)) |
(fma.f64 (pow.f64 t 3) -4 (*.f64 4 (pow.f64 t 4))) |
(*.f64 (pow.f64 t 3) (+.f64 (*.f64 t 4) -4)) |
(*.f64 (pow.f64 t 3) (+.f64 -4 (*.f64 t 4))) |
(+.f64 (*.f64 4 (pow.f64 t 4)) (+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))) |
(fma.f64 4 (pow.f64 t 4) (fma.f64 -4 (pow.f64 t 3) (*.f64 (*.f64 t t) 4))) |
(fma.f64 4 (pow.f64 t 4) (fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -4))) |
(fma.f64 (pow.f64 t 3) -4 (*.f64 4 (+.f64 (*.f64 t t) (pow.f64 t 4)))) |
(fma.f64 t (*.f64 t (fma.f64 t -4 4)) (*.f64 4 (pow.f64 t 4))) |
(+.f64 (*.f64 4 (pow.f64 t 4)) (+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))) |
(fma.f64 4 (pow.f64 t 4) (fma.f64 -4 (pow.f64 t 3) (*.f64 (*.f64 t t) 4))) |
(fma.f64 4 (pow.f64 t 4) (fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -4))) |
(fma.f64 (pow.f64 t 3) -4 (*.f64 4 (+.f64 (*.f64 t t) (pow.f64 t 4)))) |
(fma.f64 t (*.f64 t (fma.f64 t -4 4)) (*.f64 4 (pow.f64 t 4))) |
(*.f64 4 (pow.f64 t 4)) |
(+.f64 (*.f64 4 (pow.f64 t 4)) (*.f64 -4 (pow.f64 t 3))) |
(fma.f64 4 (pow.f64 t 4) (*.f64 (pow.f64 t 3) -4)) |
(fma.f64 (pow.f64 t 3) -4 (*.f64 4 (pow.f64 t 4))) |
(*.f64 (pow.f64 t 3) (+.f64 (*.f64 t 4) -4)) |
(*.f64 (pow.f64 t 3) (+.f64 -4 (*.f64 t 4))) |
(+.f64 (*.f64 4 (pow.f64 t 4)) (+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))) |
(fma.f64 4 (pow.f64 t 4) (fma.f64 -4 (pow.f64 t 3) (*.f64 (*.f64 t t) 4))) |
(fma.f64 4 (pow.f64 t 4) (fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -4))) |
(fma.f64 (pow.f64 t 3) -4 (*.f64 4 (+.f64 (*.f64 t t) (pow.f64 t 4)))) |
(fma.f64 t (*.f64 t (fma.f64 t -4 4)) (*.f64 4 (pow.f64 t 4))) |
(+.f64 (*.f64 4 (pow.f64 t 4)) (+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))) |
(fma.f64 4 (pow.f64 t 4) (fma.f64 -4 (pow.f64 t 3) (*.f64 (*.f64 t t) 4))) |
(fma.f64 4 (pow.f64 t 4) (fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -4))) |
(fma.f64 (pow.f64 t 3) -4 (*.f64 4 (+.f64 (*.f64 t t) (pow.f64 t 4)))) |
(fma.f64 t (*.f64 t (fma.f64 t -4 4)) (*.f64 4 (pow.f64 t 4))) |
(*.f64 2 t) |
(*.f64 t 2) |
(+.f64 (*.f64 2 t) (*.f64 -2 (pow.f64 t 2))) |
(fma.f64 2 t (*.f64 (*.f64 t t) -2)) |
(fma.f64 t 2 (*.f64 (*.f64 t t) -2)) |
(*.f64 t (+.f64 2 (*.f64 t -2))) |
(*.f64 t (fma.f64 t -2 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 t 2 (fma.f64 2 (pow.f64 t 3) (*.f64 (*.f64 t t) -2))) |
(fma.f64 t (*.f64 t -2) (*.f64 2 (+.f64 t (pow.f64 t 3)))) |
(*.f64 t (+.f64 2 (*.f64 t (fma.f64 t 2 -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 t 2 (fma.f64 2 (pow.f64 t 3) (*.f64 (*.f64 t t) -2))) |
(fma.f64 t (*.f64 t -2) (*.f64 2 (+.f64 t (pow.f64 t 3)))) |
(*.f64 t (+.f64 2 (*.f64 t (fma.f64 t 2 -2)))) |
(*.f64 2 (pow.f64 t 3)) |
(+.f64 (*.f64 -2 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 3))) |
(fma.f64 -2 (*.f64 t t) (*.f64 2 (pow.f64 t 3))) |
(fma.f64 2 (pow.f64 t 3) (*.f64 (*.f64 t t) -2)) |
(*.f64 (*.f64 t t) (+.f64 -2 (*.f64 t 2))) |
(*.f64 (*.f64 t t) (fma.f64 t 2 -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 t 2 (fma.f64 2 (pow.f64 t 3) (*.f64 (*.f64 t t) -2))) |
(fma.f64 t (*.f64 t -2) (*.f64 2 (+.f64 t (pow.f64 t 3)))) |
(*.f64 t (+.f64 2 (*.f64 t (fma.f64 t 2 -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 t 2 (fma.f64 2 (pow.f64 t 3) (*.f64 (*.f64 t t) -2))) |
(fma.f64 t (*.f64 t -2) (*.f64 2 (+.f64 t (pow.f64 t 3)))) |
(*.f64 t (+.f64 2 (*.f64 t (fma.f64 t 2 -2)))) |
(*.f64 2 (pow.f64 t 3)) |
(+.f64 (*.f64 -2 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 3))) |
(fma.f64 -2 (*.f64 t t) (*.f64 2 (pow.f64 t 3))) |
(fma.f64 2 (pow.f64 t 3) (*.f64 (*.f64 t t) -2)) |
(*.f64 (*.f64 t t) (+.f64 -2 (*.f64 t 2))) |
(*.f64 (*.f64 t t) (fma.f64 t 2 -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 t 2 (fma.f64 2 (pow.f64 t 3) (*.f64 (*.f64 t t) -2))) |
(fma.f64 t (*.f64 t -2) (*.f64 2 (+.f64 t (pow.f64 t 3)))) |
(*.f64 t (+.f64 2 (*.f64 t (fma.f64 t 2 -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 t 2 (fma.f64 2 (pow.f64 t 3) (*.f64 (*.f64 t t) -2))) |
(fma.f64 t (*.f64 t -2) (*.f64 2 (+.f64 t (pow.f64 t 3)))) |
(*.f64 t (+.f64 2 (*.f64 t (fma.f64 t 2 -2)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) 1)) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))) |
| 0.5b | (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) | |
| 0.8b | (-.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) 1) | |
| 17.6b | (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) |
Compiled 144 to 104 computations (27.8% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | inf | (/.f64 (+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) 1)) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))) |
| 1.0ms | t | @ | -inf | (/.f64 (+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) 1)) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))) |
| 1.0ms | t | @ | 0 | (/.f64 (+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) 1)) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))) |
| 1× | batch-egg-rewrite |
| 582× | fma-def_binary64 |
| 431× | fma-neg_binary64 |
| 313× | log1p-udef_binary64 |
| 311× | expm1-udef_binary64 |
| 213× | add-sqr-sqrt_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 46 |
| 1 | 424 | 34 |
| 2 | 6472 | 30 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) 1)) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1) (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 1 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1)) (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2)) (/.f64 1 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1) (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (/.f64 (*.f64 2 t) (+.f64 1 t))) (*.f64 (hypot.f64 1 (/.f64 (*.f64 2 t) (+.f64 1 t))) (/.f64 1 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1) (/.f64 1 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1) (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1) (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1) (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1) (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2))) 2) (cbrt.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1) (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (/.f64 (*.f64 2 t) (+.f64 1 t))) 4)) (*.f64 (cbrt.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1)) (/.f64 1 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (/.f64 (*.f64 2 t) (+.f64 1 t))) (sqrt.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2))) (/.f64 (hypot.f64 1 (/.f64 (*.f64 2 t) (+.f64 1 t))) (sqrt.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1)) (/.f64 1 (neg.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2)) (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (/.f64 (*.f64 2 t) (+.f64 1 t))) 4)) 1) (/.f64 (cbrt.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1)) (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (/.f64 (*.f64 2 t) (+.f64 1 t))) 1) (/.f64 (hypot.f64 1 (/.f64 (*.f64 2 t) (+.f64 1 t))) (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2)) 2)) (/.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1) (cbrt.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (/.f64 (*.f64 2 t) (+.f64 1 t))) 4)) (pow.f64 (cbrt.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2)) 2)) (cbrt.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1) (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (/.f64 (*.f64 2 t) (+.f64 1 t))) (pow.f64 (cbrt.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2)) 2)) (/.f64 (hypot.f64 1 (/.f64 (*.f64 2 t) (+.f64 1 t))) (cbrt.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2))) (/.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1) (sqrt.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (/.f64 (*.f64 2 t) (+.f64 1 t))) 4)) (sqrt.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2))) (/.f64 (cbrt.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1)) (sqrt.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1) (+.f64 8 (pow.f64 (*.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2)) 3))) (fma.f64 (*.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2)) (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1) (-.f64 4 (pow.f64 (*.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2)) 2))) (-.f64 2 (*.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1) (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1) (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1) (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 1 (/.f64 (*.f64 2 t) (+.f64 1 t))) (sqrt.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2) (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1) (neg.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1) (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1) (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1) (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1) (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (hypot.f64 1 (/.f64 (*.f64 2 t) (+.f64 1 t))) 6) (pow.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1) (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1) (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1) (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1) (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2))) 1)))))) |
| 1× | egg-herbie |
| 634× | fma-neg_binary64 |
| 551× | sub-neg_binary64 |
| 530× | times-frac_binary64 |
| 426× | fma-def_binary64 |
| 263× | associate-+l+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 112 | 748 |
| 1 | 366 | 357 |
| 2 | 1369 | 233 |
| 3 | 5518 | 227 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (pow.f64 t 2)) |
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2))) |
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (pow.f64 t 4) (pow.f64 t 2)))) |
(*.f64 1/6 (pow.f64 (sqrt.f64 5) 2)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 4/3 (*.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 4/3 (*.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (+.f64 (*.f64 1/6 (/.f64 (-.f64 (+.f64 12 (*.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 t 2))) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2)))) (+.f64 (*.f64 4/3 (/.f64 (+.f64 4/3 (*.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 t 2))) (*.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 2))))) |
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (-.f64 (+.f64 12 (*.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 t 2))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -1 (+.f64 16 (*.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2))))) (*.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 t 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 4/3 (*.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2))))) (+.f64 (*.f64 -2 (/.f64 (+.f64 4/3 (*.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 t 3))) (+.f64 (*.f64 -4/3 (/.f64 (-.f64 (*.f64 1/6 (-.f64 (+.f64 12 (*.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2))) (+.f64 (*.f64 4/3 (+.f64 4/3 (*.f64 -2/9 (pow.f64 (sqrt.f64 5) 2)))) (*.f64 1/3 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 t 3))) (+.f64 (*.f64 4/3 (/.f64 (+.f64 4/3 (*.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 t 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 2))) (*.f64 -4/9 (/.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 3)))))))) |
(*.f64 1/6 (pow.f64 (sqrt.f64 5) 2)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 4/3 (*.f64 2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 4/3 (*.f64 2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (+.f64 (*.f64 1/6 (/.f64 (-.f64 (+.f64 12 (*.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 4 (sqrt.f64 5)) 2)) (pow.f64 t 2))) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2)))) (+.f64 (*.f64 4/3 (/.f64 (-.f64 4/3 (*.f64 2/9 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 t 2))) (*.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 2))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 4/3 (*.f64 2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (+.f64 (*.f64 -1 (/.f64 (-.f64 8/3 (+.f64 (*.f64 2 (-.f64 4/3 (*.f64 2/9 (pow.f64 (sqrt.f64 5) 2)))) (+.f64 (*.f64 4/3 (-.f64 (*.f64 1/6 (-.f64 (+.f64 12 (*.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 4 (sqrt.f64 5)) 2))) (+.f64 (*.f64 4/3 (-.f64 4/3 (*.f64 2/9 (pow.f64 (sqrt.f64 5) 2)))) (*.f64 1/3 (pow.f64 (sqrt.f64 5) 2))))) (*.f64 4/9 (pow.f64 (sqrt.f64 5) 2))))) (pow.f64 t 3))) (+.f64 (*.f64 1/6 (/.f64 (-.f64 (+.f64 12 (*.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 4 (sqrt.f64 5)) 2)) (pow.f64 t 2))) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2))))) (+.f64 (*.f64 4/3 (/.f64 (-.f64 4/3 (*.f64 2/9 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 t 2))) (*.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 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 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2))) |
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (*.f64 t t))) |
(fma.f64 -2 (pow.f64 t 3) (fma.f64 t t 1/2)) |
(fma.f64 t t (fma.f64 -2 (pow.f64 t 3) 1/2)) |
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (pow.f64 t 4) (pow.f64 t 2)))) |
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (+.f64 (*.f64 t t) (pow.f64 t 4)))) |
(+.f64 (fma.f64 -2 (pow.f64 t 3) (fma.f64 t t 1/2)) (pow.f64 t 4)) |
(+.f64 (fma.f64 t t (pow.f64 t 4)) (fma.f64 -2 (pow.f64 t 3) 1/2)) |
(+.f64 1/2 (fma.f64 -2 (pow.f64 t 3) (fma.f64 t t (pow.f64 t 4)))) |
(*.f64 1/6 (pow.f64 (sqrt.f64 5) 2)) |
5/6 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 4/3 (*.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2))) |
(fma.f64 -1 (/.f64 (+.f64 4/3 (*.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) t) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2))) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 4/3 (*.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (+.f64 (*.f64 1/6 (/.f64 (-.f64 (+.f64 12 (*.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 t 2))) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2)))) (+.f64 (*.f64 4/3 (/.f64 (+.f64 4/3 (*.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 t 2))) (*.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 2))))) |
(-.f64 (fma.f64 -1 (/.f64 (+.f64 4/3 (*.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) t) (*.f64 1/6 (+.f64 (/.f64 (+.f64 12 (-.f64 (/.f64 16 (pow.f64 (sqrt.f64 5) 2)) (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2))) (*.f64 t t)) (pow.f64 (sqrt.f64 5) 2)))) (fma.f64 4/3 (/.f64 (+.f64 4/3 (*.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) (*.f64 t t)) (*.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 t t))))) |
(+.f64 (fma.f64 1/6 (/.f64 (-.f64 76/5 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (*.f64 t t)) 5/6) (-.f64 (/.f64 -2/9 t) (+.f64 (/.f64 (/.f64 8/27 t) t) (/.f64 5/3 (*.f64 t t))))) |
(+.f64 (/.f64 2 (*.f64 t t)) (+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (+.f64 (/.f64 -5/3 (*.f64 t t)) (/.f64 -8/27 (*.f64 t t))))) |
(+.f64 5/6 (+.f64 (/.f64 (/.f64 2 t) t) (fma.f64 (/.f64 2/9 t) (-.f64 -1 (/.f64 4/3 t)) (/.f64 -5/3 (*.f64 t t))))) |
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (-.f64 (+.f64 12 (*.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 t 2))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -1 (+.f64 16 (*.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2))))) (*.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 t 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 4/3 (*.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2))))) (+.f64 (*.f64 -2 (/.f64 (+.f64 4/3 (*.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 t 3))) (+.f64 (*.f64 -4/3 (/.f64 (-.f64 (*.f64 1/6 (-.f64 (+.f64 12 (*.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2))) (+.f64 (*.f64 4/3 (+.f64 4/3 (*.f64 -2/9 (pow.f64 (sqrt.f64 5) 2)))) (*.f64 1/3 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 t 3))) (+.f64 (*.f64 4/3 (/.f64 (+.f64 4/3 (*.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 t 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 2))) (*.f64 -4/9 (/.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 3)))))))) |
(-.f64 (fma.f64 1/6 (/.f64 (+.f64 12 (-.f64 (/.f64 16 (pow.f64 (sqrt.f64 5) 2)) (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2))) (*.f64 t t)) (fma.f64 1/6 (/.f64 (fma.f64 -1 (+.f64 16 (*.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2)))) (*.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 t 3)) (fma.f64 -1 (/.f64 (+.f64 4/3 (*.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) t) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2))))) (fma.f64 -2 (/.f64 (+.f64 4/3 (*.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) (pow.f64 t 3)) (fma.f64 -4/3 (/.f64 (-.f64 (*.f64 1/6 (+.f64 12 (-.f64 (/.f64 16 (pow.f64 (sqrt.f64 5) 2)) (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)))) (fma.f64 4/3 (+.f64 4/3 (*.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) (*.f64 (pow.f64 (sqrt.f64 5) 2) 1/3))) (pow.f64 t 3)) (fma.f64 4/3 (/.f64 (+.f64 4/3 (*.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) (*.f64 t t)) (fma.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 t t)) (*.f64 -4/9 (/.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 3)))))))) |
(fma.f64 1/6 (/.f64 (-.f64 76/5 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (*.f64 t t)) (-.f64 (+.f64 5/6 (fma.f64 1/6 (/.f64 (-.f64 (/.f64 -4 (/.f64 5 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)))) (fma.f64 -4 (-.f64 12/5 (/.f64 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2) 5)) 16)) (pow.f64 t 3)) (/.f64 -2/9 t))) (+.f64 (fma.f64 -4/3 (/.f64 (fma.f64 1/6 (-.f64 76/5 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) -53/27) (pow.f64 t 3)) (/.f64 (/.f64 8/27 t) t)) (+.f64 (+.f64 (/.f64 5/3 (*.f64 t t)) (/.f64 -20/9 (pow.f64 t 3))) (/.f64 -4/9 (pow.f64 t 3)))))) |
(+.f64 5/6 (+.f64 (+.f64 (/.f64 -8/3 (pow.f64 t 3)) (/.f64 -2/9 t)) (-.f64 (+.f64 (/.f64 2 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3))) (+.f64 (/.f64 (/.f64 8/27 t) t) (+.f64 (/.f64 5/3 (*.f64 t t)) (+.f64 (/.f64 -20/9 (pow.f64 t 3)) (/.f64 -4/9 (pow.f64 t 3)))))))) |
(+.f64 (+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 (/.f64 2 t) t)) (+.f64 (/.f64 -8/3 (pow.f64 t 3)) (-.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 (/.f64 8/27 (*.f64 t t)) (+.f64 (/.f64 5/3 (*.f64 t t)) (+.f64 (/.f64 -20/9 (pow.f64 t 3)) (/.f64 -4/9 (pow.f64 t 3)))))))) |
(*.f64 1/6 (pow.f64 (sqrt.f64 5) 2)) |
5/6 |
(+.f64 (*.f64 -1 (/.f64 (-.f64 4/3 (*.f64 2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2))) |
(fma.f64 -1 (/.f64 (+.f64 4/3 (*.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) t) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2))) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 4/3 (*.f64 2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (+.f64 (*.f64 1/6 (/.f64 (-.f64 (+.f64 12 (*.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 4 (sqrt.f64 5)) 2)) (pow.f64 t 2))) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2)))) (+.f64 (*.f64 4/3 (/.f64 (-.f64 4/3 (*.f64 2/9 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 t 2))) (*.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 2))))) |
(-.f64 (fma.f64 -1 (/.f64 (+.f64 4/3 (*.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) t) (*.f64 1/6 (+.f64 (/.f64 (+.f64 12 (-.f64 (/.f64 16 (pow.f64 (sqrt.f64 5) 2)) (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2))) (*.f64 t t)) (pow.f64 (sqrt.f64 5) 2)))) (fma.f64 4/3 (/.f64 (+.f64 4/3 (*.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) (*.f64 t t)) (*.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 t t))))) |
(+.f64 (fma.f64 1/6 (/.f64 (-.f64 76/5 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (*.f64 t t)) 5/6) (-.f64 (/.f64 -2/9 t) (+.f64 (/.f64 (/.f64 8/27 t) t) (/.f64 5/3 (*.f64 t t))))) |
(+.f64 (/.f64 2 (*.f64 t t)) (+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (+.f64 (/.f64 -5/3 (*.f64 t t)) (/.f64 -8/27 (*.f64 t t))))) |
(+.f64 5/6 (+.f64 (/.f64 (/.f64 2 t) t) (fma.f64 (/.f64 2/9 t) (-.f64 -1 (/.f64 4/3 t)) (/.f64 -5/3 (*.f64 t t))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 4/3 (*.f64 2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (+.f64 (*.f64 -1 (/.f64 (-.f64 8/3 (+.f64 (*.f64 2 (-.f64 4/3 (*.f64 2/9 (pow.f64 (sqrt.f64 5) 2)))) (+.f64 (*.f64 4/3 (-.f64 (*.f64 1/6 (-.f64 (+.f64 12 (*.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 4 (sqrt.f64 5)) 2))) (+.f64 (*.f64 4/3 (-.f64 4/3 (*.f64 2/9 (pow.f64 (sqrt.f64 5) 2)))) (*.f64 1/3 (pow.f64 (sqrt.f64 5) 2))))) (*.f64 4/9 (pow.f64 (sqrt.f64 5) 2))))) (pow.f64 t 3))) (+.f64 (*.f64 1/6 (/.f64 (-.f64 (+.f64 12 (*.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 4 (sqrt.f64 5)) 2)) (pow.f64 t 2))) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2))))) (+.f64 (*.f64 4/3 (/.f64 (-.f64 4/3 (*.f64 2/9 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 t 2))) (*.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 2))))) |
(-.f64 (fma.f64 -1 (/.f64 (+.f64 4/3 (*.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) t) (fma.f64 -1 (/.f64 (-.f64 8/3 (fma.f64 2 (+.f64 4/3 (*.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) (fma.f64 4/3 (-.f64 (*.f64 1/6 (-.f64 (+.f64 12 (/.f64 16 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 (/.f64 4 (sqrt.f64 5)) 2))) (fma.f64 4/3 (+.f64 4/3 (*.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) (*.f64 (pow.f64 (sqrt.f64 5) 2) 1/3))) (*.f64 (pow.f64 (sqrt.f64 5) 2) 4/9)))) (pow.f64 t 3)) (*.f64 1/6 (+.f64 (/.f64 (-.f64 (+.f64 12 (/.f64 16 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 (/.f64 4 (sqrt.f64 5)) 2)) (*.f64 t t)) (pow.f64 (sqrt.f64 5) 2))))) (fma.f64 4/3 (/.f64 (+.f64 4/3 (*.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) (*.f64 t t)) (*.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 t t))))) |
(+.f64 (-.f64 (fma.f64 1/6 (/.f64 (-.f64 76/5 (pow.f64 (/.f64 4 (sqrt.f64 5)) 2)) (*.f64 t t)) 5/6) (/.f64 (-.f64 0 (*.f64 4/3 (fma.f64 1/6 (-.f64 76/5 (pow.f64 (/.f64 4 (sqrt.f64 5)) 2)) -53/27))) (pow.f64 t 3))) (-.f64 (/.f64 -2/9 t) (+.f64 (/.f64 (/.f64 8/27 t) t) (/.f64 5/3 (*.f64 t t))))) |
(+.f64 (/.f64 -2/9 t) (+.f64 (/.f64 2 (*.f64 t t)) (+.f64 (+.f64 5/6 (/.f64 4/81 (pow.f64 t 3))) (+.f64 (/.f64 -5/3 (*.f64 t t)) (/.f64 -8/27 (*.f64 t t)))))) |
(+.f64 (+.f64 5/6 (+.f64 (/.f64 (/.f64 2 t) t) (/.f64 4/81 (pow.f64 t 3)))) (fma.f64 (/.f64 2/9 t) (-.f64 -1 (/.f64 4/3 t)) (/.f64 -5/3 (*.f64 t t)))) |
Compiled 31347 to 24811 computations (20.9% saved)
13 alts after pruning (6 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 917 | 2 | 919 |
| Fresh | 1 | 4 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 6 | 7 |
| Total | 919 | 13 | 932 |
| Status | Error | Program |
|---|---|---|
| ✓ | 61.8b | (/.f64 1 t) |
| ✓ | 30.5b | (/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
| 30.1b | (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) | |
| ✓ | 30.1b | (+.f64 5/6 (/.f64 -2/9 t)) |
| ✓ | 18.4b | (/.f64 (+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) 1)) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))) |
| ✓ | 32.8b | (fma.f64 t t 1/2) |
| 32.8b | (/.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (+.f64 2 (*.f64 4 (*.f64 t t)))) | |
| 18.8b | (/.f64 (+.f64 1 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 1 t)) (+.f64 1 t))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))) | |
| ✓ | 30.1b | (+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))) |
| 25.3b | 5/6 | |
| ✓ | 33.0b | (/.f64 (+.f64 1 (*.f64 (*.f64 t (+.f64 2 (*.f64 t (+.f64 -2 (*.f64 t 2))))) (*.f64 t 2))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
| 33.1b | (/.f64 (+.f64 1 (-.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 t 4) 16)) (/.f64 1 (-.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)))) 1)) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))) | |
| 27.1b | 1/2 |
Compiled 209 to 163 computations (22% saved)
| Inputs |
|---|
5/6 |
1/2 |
(/.f64 1 t) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) |
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)) |
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))) |
(/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
(/.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
(/.f64 (+.f64 1 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (*.f64 t 2))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
(/.f64 (+.f64 1 (*.f64 (*.f64 t (+.f64 2 (*.f64 t (+.f64 -2 (*.f64 t 2))))) (*.f64 t 2))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8)))))) |
(/.f64 (+.f64 1 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 1 t)) (+.f64 1 t))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))) |
(/.f64 (+.f64 1 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))) |
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (+.f64 2 (/.f64 -2 t))))) |
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))) |
(fma.f64 t t 1/2) |
(/.f64 (+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) 1)) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))) |
(/.f64 (+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) 1)) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))) |
(/.f64 (+.f64 1 (-.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 t 4) 16)) (/.f64 1 (-.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)))) 1)) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))) |
(/.f64 (+.f64 1 (-.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 4)) (/.f64 1 (-.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)))) 1)) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))) |
(/.f64 (+.f64 1 (log.f64 (exp.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2)))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))) |
(/.f64 (+.f64 1 (log.f64 (exp.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))) |
| Outputs |
|---|
(/.f64 (+.f64 1 (log.f64 (exp.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))) |
7 calls:
| 25.0ms | t |
| 21.0ms | (/.f64 (*.f64 2 t) (+.f64 1 t)) |
| 20.0ms | (/.f64 (*.f64 2 t) (+.f64 1 t)) |
| 13.0ms | (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))) |
| 13.0ms | (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | t |
| 0.0b | 1 | (/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))) |
| 0.0b | 1 | (/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))) |
| 0.0b | 1 | (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))) |
| 0.0b | 1 | (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))) |
| 0.0b | 1 | (/.f64 (*.f64 2 t) (+.f64 1 t)) |
| 0.0b | 1 | (/.f64 (*.f64 2 t) (+.f64 1 t)) |
Compiled 663 to 505 computations (23.8% saved)
| Inputs |
|---|
5/6 |
1/2 |
(/.f64 1 t) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) |
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)) |
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))) |
(/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
(/.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
(/.f64 (+.f64 1 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (*.f64 t 2))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
(/.f64 (+.f64 1 (*.f64 (*.f64 t (+.f64 2 (*.f64 t (+.f64 -2 (*.f64 t 2))))) (*.f64 t 2))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8)))))) |
(/.f64 (+.f64 1 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 1 t)) (+.f64 1 t))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))) |
(/.f64 (+.f64 1 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))) |
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (+.f64 2 (/.f64 -2 t))))) |
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))) |
(fma.f64 t t 1/2) |
(/.f64 (+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) 1)) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))) |
(/.f64 (+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) 1)) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))) |
(/.f64 (+.f64 1 (-.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 t 4) 16)) (/.f64 1 (-.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)))) 1)) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))) |
(/.f64 (+.f64 1 (-.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 4)) (/.f64 1 (-.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)))) 1)) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))) |
(/.f64 (+.f64 1 (log.f64 (exp.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2)))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))) |
| Outputs |
|---|
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))) |
4 calls:
| 23.0ms | t |
| 20.0ms | (/.f64 (*.f64 2 t) (+.f64 1 t)) |
| 12.0ms | (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))) |
| 7.0ms | (/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | t |
| 0.0b | 1 | (/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))) |
| 0.0b | 1 | (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))) |
| 0.0b | 1 | (/.f64 (*.f64 2 t) (+.f64 1 t)) |
Compiled 572 to 434 computations (24.1% saved)
| Inputs |
|---|
5/6 |
1/2 |
(/.f64 1 t) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) |
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)) |
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))) |
(/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
(/.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
(/.f64 (+.f64 1 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (*.f64 t 2))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
(/.f64 (+.f64 1 (*.f64 (*.f64 t (+.f64 2 (*.f64 t (+.f64 -2 (*.f64 t 2))))) (*.f64 t 2))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8)))))) |
(/.f64 (+.f64 1 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 1 t)) (+.f64 1 t))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))) |
(/.f64 (+.f64 1 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))) |
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (+.f64 2 (/.f64 -2 t))))) |
| Outputs |
|---|
5/6 |
(/.f64 (+.f64 1 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 1 t)) (+.f64 1 t))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))) |
5/6 |
1 calls:
| 51.0ms | t |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 3 | t |
Compiled 290 to 211 computations (27.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 73.0ms | 228096.3490592989 | 5122560733733043000.0 |
| 71.0ms | -4.295573961651241e+169 | -1.3072884989743817e+150 |
Compiled 40 to 31 computations (22.5% saved)
| Inputs |
|---|
5/6 |
1/2 |
(/.f64 1 t) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) |
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)) |
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))) |
(/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
(/.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
(/.f64 (+.f64 1 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (*.f64 t 2))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
(/.f64 (+.f64 1 (*.f64 (*.f64 t (+.f64 2 (*.f64 t (+.f64 -2 (*.f64 t 2))))) (*.f64 t 2))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8)))))) |
| Outputs |
|---|
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) |
(/.f64 (+.f64 1 (*.f64 (*.f64 t (+.f64 2 (*.f64 t (+.f64 -2 (*.f64 t 2))))) (*.f64 t 2))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))) |
1 calls:
| 45.0ms | t |
| Error | Segments | Branch |
|---|---|---|
| 0.4b | 3 | t |
Compiled 193 to 140 computations (27.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 67.0ms | 0.021398597363671983 | 1.370840529417722 |
| 70.0ms | -1606770371.0761223 | -0.0001991873364480126 |
Compiled 40 to 31 computations (22.5% saved)
| Inputs |
|---|
5/6 |
1/2 |
(/.f64 1 t) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) |
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)) |
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))) |
(/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
(/.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
(/.f64 (+.f64 1 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (*.f64 t 2))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
| Outputs |
|---|
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) |
(/.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))) |
1 calls:
| 41.0ms | t |
| Error | Segments | Branch |
|---|---|---|
| 0.4b | 3 | t |
Compiled 114 to 82 computations (28.1% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 59.0ms | 0.021398597363671983 | 1.370840529417722 |
| 71.0ms | -1606770371.0761223 | -0.0001991873364480126 |
Compiled 40 to 31 computations (22.5% saved)
| Inputs |
|---|
5/6 |
1/2 |
(/.f64 1 t) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) |
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)) |
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))) |
(/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
| Outputs |
|---|
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) |
(/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))) |
1 calls:
| 81.0ms | t |
| Error | Segments | Branch |
|---|---|---|
| 0.5b | 3 | t |
Compiled 55 to 41 computations (25.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 33.0ms | 0.021398597363671983 | 1.370840529417722 |
| 102.0ms | -1606770371.0761223 | -0.0001991873364480126 |
Compiled 40 to 31 computations (22.5% saved)
| Inputs |
|---|
5/6 |
1/2 |
(/.f64 1 t) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) |
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)) |
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))) |
| Outputs |
|---|
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) |
1/2 |
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))) |
1 calls:
| 42.0ms | t |
| Error | Segments | Branch |
|---|---|---|
| 0.6b | 3 | t |
Compiled 40 to 32 computations (20% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 33.0ms | 0.021398597363671983 | 1.370840529417722 |
| 134.0ms | -1606770371.0761223 | -0.0001991873364480126 |
Compiled 40 to 31 computations (22.5% saved)
| Inputs |
|---|
5/6 |
1/2 |
(/.f64 1 t) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) |
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)) |
| Outputs |
|---|
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) |
1/2 |
(+.f64 5/6 (/.f64 -2/9 t)) |
1 calls:
| 14.0ms | t |
| Error | Segments | Branch |
|---|---|---|
| 0.7b | 3 | t |
Compiled 29 to 24 computations (17.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 34.0ms | 0.021398597363671983 | 1.370840529417722 |
| 36.0ms | -1606770371.0761223 | -0.0001991873364480126 |
Compiled 40 to 31 computations (22.5% saved)
| Inputs |
|---|
5/6 |
1/2 |
(/.f64 1 t) |
(+.f64 5/6 (/.f64 -2/9 t)) |
| Outputs |
|---|
(+.f64 5/6 (/.f64 -2/9 t)) |
1/2 |
(+.f64 5/6 (/.f64 -2/9 t)) |
1 calls:
| 12.0ms | t |
| Error | Segments | Branch |
|---|---|---|
| 0.8b | 3 | t |
Compiled 13 to 10 computations (23.1% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 36.0ms | 0.021398597363671983 | 1.370840529417722 |
| 35.0ms | -1606770371.0761223 | -0.0001991873364480126 |
Compiled 40 to 31 computations (22.5% saved)
Total -60.7b remaining (-5787.1%)
Threshold costs -60.7b (-5787.1%)
| Inputs |
|---|
5/6 |
1/2 |
(/.f64 1 t) |
| Outputs |
|---|
5/6 |
1/2 |
5/6 |
1 calls:
| 9.0ms | t |
| Error | Segments | Branch |
|---|---|---|
| 1.0b | 3 | t |
Compiled 8 to 6 computations (25% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 35.0ms | 0.021398597363671983 | 1.370840529417722 |
| 35.0ms | -1606770371.0761223 | -0.0001991873364480126 |
Compiled 40 to 31 computations (22.5% saved)
| 1× | egg-herbie |
| 17× | +-commutative_binary64 |
| 8× | *-commutative_binary64 |
| 1× | sub-neg_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 472 |
| 1 | 114 | 472 |
| 2 | 115 | 472 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 1 (log.f64 (exp.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))) |
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))) |
(if (<=.f64 t -42955739616512409141330680674994838879646978870252128676601559657680691298120064406425764384782997241753705400330502631951029508116170513113445126228399907999650473312256) 5/6 (if (<=.f64 t 7837330876373513/34359738368) (/.f64 (+.f64 1 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 1 t)) (+.f64 1 t))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))) 5/6)) |
(if (<=.f64 t -6901026195953729536/4294967296) (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) (if (<=.f64 t 394734449104012992/18446744073709551616) (/.f64 (+.f64 1 (*.f64 (*.f64 t (+.f64 2 (*.f64 t (+.f64 -2 (*.f64 t 2))))) (*.f64 t 2))) (+.f64 2 (*.f64 4 (*.f64 t t)))) (+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))))) |
(if (<=.f64 t -6901026195953729536/4294967296) (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) (if (<=.f64 t 394734449104012992/18446744073709551616) (/.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (+.f64 2 (*.f64 4 (*.f64 t t)))) (+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))))) |
(if (<=.f64 t -6901026195953729536/4294967296) (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) (if (<=.f64 t 394734449104012992/18446744073709551616) (/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (*.f64 4 (*.f64 t t)))) (+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))))) |
(if (<=.f64 t -6901026195953729536/4294967296) (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) (if (<=.f64 t 394734449104012992/18446744073709551616) 1/2 (+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))))) |
(if (<=.f64 t -6901026195953729536/4294967296) (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) (if (<=.f64 t 394734449104012992/18446744073709551616) 1/2 (+.f64 5/6 (/.f64 -2/9 t)))) |
(if (<=.f64 t -6901026195953729536/4294967296) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 394734449104012992/18446744073709551616) 1/2 (+.f64 5/6 (/.f64 -2/9 t)))) |
(if (<=.f64 t -6901026195953729536/4294967296) 5/6 (if (<=.f64 t 394734449104012992/18446744073709551616) 1/2 5/6)) |
5/6 |
| Outputs |
|---|
(/.f64 (+.f64 1 (log.f64 (exp.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))) |
(/.f64 (+.f64 1 (log.f64 (exp.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))) |
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))) |
(if (<=.f64 t -42955739616512409141330680674994838879646978870252128676601559657680691298120064406425764384782997241753705400330502631951029508116170513113445126228399907999650473312256) 5/6 (if (<=.f64 t 7837330876373513/34359738368) (/.f64 (+.f64 1 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 1 t)) (+.f64 1 t))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))) 5/6)) |
(if (<=.f64 t -42955739616512409141330680674994838879646978870252128676601559657680691298120064406425764384782997241753705400330502631951029508116170513113445126228399907999650473312256) 5/6 (if (<=.f64 t 7837330876373513/34359738368) (/.f64 (+.f64 1 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 1 t)) (+.f64 1 t))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 1 t)) (+.f64 1 t)))) 5/6)) |
(if (<=.f64 t -6901026195953729536/4294967296) (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) (if (<=.f64 t 394734449104012992/18446744073709551616) (/.f64 (+.f64 1 (*.f64 (*.f64 t (+.f64 2 (*.f64 t (+.f64 -2 (*.f64 t 2))))) (*.f64 t 2))) (+.f64 2 (*.f64 4 (*.f64 t t)))) (+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))))) |
(if (<=.f64 t -421205212155379/262144) (+.f64 (+.f64 1 (/.f64 -2/9 t)) -1/6) (if (<=.f64 t 6167725767250203/288230376151711744) (/.f64 (+.f64 1 (*.f64 (*.f64 2 t) (*.f64 t (+.f64 2 (*.f64 t (+.f64 -2 (*.f64 2 t))))))) (+.f64 2 (*.f64 4 (*.f64 t t)))) (+.f64 5/6 (+.f64 (/.f64 -2/9 t) (/.f64 1/27 (*.f64 t t)))))) |
(if (<=.f64 t -6901026195953729536/4294967296) (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) (if (<=.f64 t 394734449104012992/18446744073709551616) (/.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (+.f64 2 (*.f64 4 (*.f64 t t)))) (+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))))) |
(if (<=.f64 t -421205212155379/262144) (+.f64 (+.f64 1 (/.f64 -2/9 t)) -1/6) (if (<=.f64 t 6167725767250203/288230376151711744) (/.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (+.f64 2 (*.f64 4 (*.f64 t t)))) (+.f64 5/6 (+.f64 (/.f64 -2/9 t) (/.f64 1/27 (*.f64 t t)))))) |
(if (<=.f64 t -6901026195953729536/4294967296) (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) (if (<=.f64 t 394734449104012992/18446744073709551616) (/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (*.f64 4 (*.f64 t t)))) (+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))))) |
(if (<=.f64 t -421205212155379/262144) (+.f64 (+.f64 1 (/.f64 -2/9 t)) -1/6) (if (<=.f64 t 6167725767250203/288230376151711744) (/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (*.f64 4 (*.f64 t t)))) (+.f64 5/6 (+.f64 (/.f64 -2/9 t) (/.f64 1/27 (*.f64 t t)))))) |
(if (<=.f64 t -6901026195953729536/4294967296) (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) (if (<=.f64 t 394734449104012992/18446744073709551616) 1/2 (+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))))) |
(if (<=.f64 t -421205212155379/262144) (+.f64 (+.f64 1 (/.f64 -2/9 t)) -1/6) (if (<=.f64 t 6167725767250203/288230376151711744) 1/2 (+.f64 5/6 (+.f64 (/.f64 -2/9 t) (/.f64 1/27 (*.f64 t t)))))) |
(if (<=.f64 t -6901026195953729536/4294967296) (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) (if (<=.f64 t 394734449104012992/18446744073709551616) 1/2 (+.f64 5/6 (/.f64 -2/9 t)))) |
(if (<=.f64 t -421205212155379/262144) (+.f64 (+.f64 1 (/.f64 -2/9 t)) -1/6) (if (<=.f64 t 6167725767250203/288230376151711744) 1/2 (+.f64 5/6 (/.f64 -2/9 t)))) |
(if (<=.f64 t -6901026195953729536/4294967296) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 394734449104012992/18446744073709551616) 1/2 (+.f64 5/6 (/.f64 -2/9 t)))) |
(if (<=.f64 t -421205212155379/262144) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 6167725767250203/288230376151711744) 1/2 (+.f64 5/6 (/.f64 -2/9 t)))) |
(if (<=.f64 t -6901026195953729536/4294967296) 5/6 (if (<=.f64 t 394734449104012992/18446744073709551616) 1/2 5/6)) |
(if (<=.f64 t -421205212155379/262144) 5/6 (if (<=.f64 t 6167725767250203/288230376151711744) 1/2 5/6)) |
5/6 |
Compiled 334 to 256 computations (23.4% saved)
Compiled 324 to 242 computations (25.3% saved)
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