Time bar (total: 3.4s)
| 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 |
| 99.9% | 0.1% | 0% | 13 |
| 99.9% | 0% | 0% | 14 |
Compiled 37 to 29 computations (21.6% saved)
| 1.2s | 8256× | body | 128 | valid |
Compiled 74 to 58 computations (21.6% saved)
| 2× | egg-herbie |
| 1108× | fma-def_binary64 |
| 549× | times-frac_binary64 |
| 299× | associate-+l+_binary64 |
| 252× | associate-/l*_binary64 |
| 243× | associate-+r+_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 52 |
| 1 | 23 | 48 |
| 2 | 49 | 46 |
| 3 | 135 | 42 |
| 4 | 349 | 42 |
| 5 | 628 | 42 |
| 6 | 1060 | 42 |
| 7 | 2279 | 38 |
| 8 | 3243 | 36 |
| 9 | 4446 | 36 |
| 10 | 4793 | 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 t (/.f64 (+.f64 1 t) (/.f64 (*.f64 t 4) (+.f64 1 t))))) (+.f64 2 (/.f64 t (/.f64 (+.f64 1 t) (/.f64 (*.f64 t 4) (+.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 (/.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 (*.f64 t 4) (*.f64 (+.f64 1 t) (+.f64 1 t))) 1) (fma.f64 t (/.f64 (*.f64 t 4) (*.f64 (+.f64 1 t) (+.f64 1 t))) 2)) |
(/.f64 (fma.f64 t (/.f64 (*.f64 t 4) (fma.f64 t (+.f64 2 t) 1)) 1) (fma.f64 t (/.f64 (*.f64 t 4) (fma.f64 t (+.f64 2 t) 1)) 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)) |
Compiled 36 to 28 computations (22.2% saved)
| 1× | egg-herbie |
| 1108× | fma-def_binary64 |
| 549× | times-frac_binary64 |
| 299× | associate-+l+_binary64 |
| 252× | associate-/l*_binary64 |
| 243× | associate-+r+_binary64 |
Useful iterations: 8 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 52 |
| 1 | 23 | 48 |
| 2 | 49 | 46 |
| 3 | 135 | 42 |
| 4 | 349 | 42 |
| 5 | 628 | 42 |
| 6 | 1060 | 42 |
| 7 | 2279 | 38 |
| 8 | 3243 | 36 |
| 9 | 4446 | 36 |
| 10 | 4793 | 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 t (/.f64 (+.f64 1 t) (/.f64 (*.f64 t 4) (+.f64 1 t))))) (+.f64 2 (/.f64 t (/.f64 (+.f64 1 t) (/.f64 (*.f64 t 4) (+.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 (/.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 (*.f64 t 4) (*.f64 (+.f64 1 t) (+.f64 1 t))) 1) (fma.f64 t (/.f64 (*.f64 t 4) (*.f64 (+.f64 1 t) (+.f64 1 t))) 2)) |
(/.f64 (fma.f64 t (/.f64 (*.f64 t 4) (fma.f64 t (+.f64 2 t) 1)) 1) (fma.f64 t (/.f64 (*.f64 t 4) (fma.f64 t (+.f64 2 t) 1)) 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)) |
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 133 to 103 computations (22.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) |
| ✓ | 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))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | inf | (/.f64 (*.f64 2 t) (+.f64 1 t)) |
| 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 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))))) |
| 0.0ms | t | @ | -inf | (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))) |
| 1× | batch-egg-rewrite |
| 990× | prod-diff_binary64 |
| 132× | add-sqr-sqrt_binary64 |
| 128× | *-un-lft-identity_binary64 |
| 128× | pow1_binary64 |
| 123× | add-cbrt-cube_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 73 |
| 1 | 258 | 73 |
| 2 | 3944 | 73 |
| 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)) |
(+.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 (pow.f64 (hypot.f64 1 (/.f64 t (/.f64 (+.f64 t 1) 2))) 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 t (/.f64 (+.f64 t 1) 2))))))) (#(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 t (/.f64 (+.f64 t 1) 2)) (*.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 t (/.f64 (+.f64 t 1) 2))) (/.f64 (+.f64 t 1) t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 t -2) (/.f64 t (/.f64 (+.f64 t 1) 2))) (+.f64 (neg.f64 t) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2) (/.f64 (+.f64 t 1) t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) (*.f64 t -2)) (+.f64 (neg.f64 t) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 t (/.f64 (+.f64 t 1) 2))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 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 -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 1 (/.f64 t (/.f64 (+.f64 t 1) 2))) 2) (+.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (hypot.f64 1 (/.f64 t (/.f64 (+.f64 t 1) 2))) 2) (+.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 1 (/.f64 t (/.f64 (+.f64 t 1) 2))) 2) (/.f64 1 (+.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 1 (/.f64 t (/.f64 (+.f64 t 1) 2))) 2) (+.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 1 (/.f64 t (/.f64 (+.f64 t 1) 2))) 2) (+.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2)))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 1 (/.f64 t (/.f64 (+.f64 t 1) 2))) 2) (+.f64 2 (pow.f64 (/.f64 t 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4 (-.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))) (/.f64 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 4) (-.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))) (pow.f64 (cbrt.f64 (+.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))) 2) (cbrt.f64 (+.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))) (sqrt.f64 (+.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 8 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 6)) (/.f64 1 (-.f64 (+.f64 4 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 4)) (*.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 4 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 4)) (/.f64 1 (-.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 4 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 4)) (*.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))) (+.f64 8 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2)) (-.f64 4 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 6)) (-.f64 (+.f64 4 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 4)) (*.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 6)) (+.f64 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 4) (-.f64 4 (*.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 4)) (-.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 8 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 6))) (neg.f64 (-.f64 (+.f64 4 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 4)) (*.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 4 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 4))) (neg.f64 (-.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 4) 4) (-.f64 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) (/.f64 t (/.f64 (+.f64 t 1) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 4)) (pow.f64 (cbrt.f64 (/.f64 t (/.f64 (+.f64 t 1) 2))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))) 1)))))) |
| 1× | egg-herbie |
| 644× | fma-neg_binary64 |
| 473× | associate-*l*_binary64 |
| 334× | fma-def_binary64 |
| 247× | sub-neg_binary64 |
| 223× | cancel-sign-sub-inv_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 628 |
| 1 | 263 | 606 |
| 2 | 757 | 586 |
| 3 | 2383 | 584 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 4 (pow.f64 t 2)) |
(-.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 8 (pow.f64 t 3))) |
(-.f64 (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))) (*.f64 8 (pow.f64 t 3))) |
(-.f64 (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))) (+.f64 (*.f64 8 (pow.f64 t 3)) (*.f64 16 (pow.f64 t 5)))) |
4 |
(-.f64 4 (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3))))) |
4 |
(-.f64 4 (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (+.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 1/2 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 3))) |
(-.f64 (+.f64 (pow.f64 t 4) (+.f64 1/2 (pow.f64 t 2))) (*.f64 2 (pow.f64 t 3))) |
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 (*.f64 2 (pow.f64 t 3)) (*.f64 2 t)) (*.f64 2 (pow.f64 t 2))) |
(-.f64 (+.f64 (*.f64 2 (pow.f64 t 3)) (*.f64 2 t)) (+.f64 (*.f64 2 (pow.f64 t 4)) (*.f64 2 (pow.f64 t 2)))) |
2 |
(-.f64 2 (*.f64 2 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) 2) (*.f64 2 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) 2) (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 3))))) |
2 |
(-.f64 2 (*.f64 2 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) 2) (*.f64 2 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) 2) (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 3))))) |
2 |
(+.f64 2 (*.f64 4 (pow.f64 t 2))) |
(-.f64 (+.f64 2 (*.f64 4 (pow.f64 t 2))) (*.f64 8 (pow.f64 t 3))) |
(-.f64 (+.f64 (*.f64 12 (pow.f64 t 4)) (+.f64 2 (*.f64 4 (pow.f64 t 2)))) (*.f64 8 (pow.f64 t 3))) |
6 |
(-.f64 6 (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 6) (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 6) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3))))) |
6 |
(-.f64 6 (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 6) (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 6) (+.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 4 (pow.f64 t 2)) (*.f64 8 (pow.f64 t 3))) |
(+.f64 (*.f64 4 (*.f64 t t)) (*.f64 -8 (pow.f64 t 3))) |
(fma.f64 4 (*.f64 t t) (*.f64 (pow.f64 t 3) -8)) |
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))) |
(*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8)))) |
(-.f64 (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))) (*.f64 8 (pow.f64 t 3))) |
(+.f64 (fma.f64 12 (pow.f64 t 4) (*.f64 4 (*.f64 t t))) (*.f64 -8 (pow.f64 t 3))) |
(fma.f64 12 (pow.f64 t 4) (fma.f64 4 (*.f64 t t) (*.f64 (pow.f64 t 3) -8))) |
(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 12 t) 8)))) |
(-.f64 (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))) (+.f64 (*.f64 8 (pow.f64 t 3)) (*.f64 16 (pow.f64 t 5)))) |
(-.f64 (fma.f64 12 (pow.f64 t 4) (*.f64 4 (*.f64 t t))) (fma.f64 8 (pow.f64 t 3) (*.f64 16 (pow.f64 t 5)))) |
(-.f64 (fma.f64 4 (*.f64 t t) (*.f64 12 (pow.f64 t 4))) (fma.f64 8 (pow.f64 t 3) (*.f64 16 (pow.f64 t 5)))) |
(fma.f64 4 (*.f64 t t) (fma.f64 12 (pow.f64 t 4) (fma.f64 (pow.f64 t 3) -8 (*.f64 (pow.f64 t 5) -16)))) |
(fma.f64 12 (pow.f64 t 4) (fma.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)) (*.f64 (pow.f64 t 5) -16))) |
4 |
(-.f64 4 (*.f64 8 (/.f64 1 t))) |
(-.f64 4 (/.f64 8 t)) |
(+.f64 4 (/.f64 -8 t)) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 4 (/.f64 12 (*.f64 t t))) (/.f64 8 t)) |
(+.f64 4 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t))) |
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 4 (/.f64 -8 t))) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3))))) |
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 4 (+.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 (/.f64 12 (*.f64 t t)) (/.f64 -16 (pow.f64 t 3))) (/.f64 -8 t))) |
4 |
(-.f64 4 (*.f64 8 (/.f64 1 t))) |
(-.f64 4 (/.f64 8 t)) |
(+.f64 4 (/.f64 -8 t)) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 4 (/.f64 12 (*.f64 t t))) (/.f64 8 t)) |
(+.f64 4 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t))) |
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 4 (/.f64 -8 t))) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3))))) |
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 4 (+.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 (/.f64 12 (*.f64 t t)) (/.f64 -16 (pow.f64 t 3))) (/.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 1/2 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 3))) |
(+.f64 (+.f64 (*.f64 t t) 1/2) (*.f64 -2 (pow.f64 t 3))) |
(+.f64 1/2 (fma.f64 t t (*.f64 (pow.f64 t 3) -2))) |
(fma.f64 (pow.f64 t 3) -2 (fma.f64 t t 1/2)) |
(-.f64 (+.f64 (pow.f64 t 4) (+.f64 1/2 (pow.f64 t 2))) (*.f64 2 (pow.f64 t 3))) |
(+.f64 (pow.f64 t 4) (+.f64 (+.f64 (*.f64 t t) 1/2) (*.f64 -2 (pow.f64 t 3)))) |
(+.f64 (pow.f64 t 4) (+.f64 1/2 (fma.f64 t t (*.f64 (pow.f64 t 3) -2)))) |
(+.f64 (fma.f64 t t 1/2) (*.f64 (pow.f64 t 3) (-.f64 t 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 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t))) |
(+.f64 5/6 (-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 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 5/6 (/.f64 1/27 (*.f64 t t))) (+.f64 (/.f64 4/81 (pow.f64 t 3)) (/.f64 -2/9 t))) |
(+.f64 5/6 (+.f64 (/.f64 4/81 (pow.f64 t 3)) (-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t)))) |
(+.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))) |
5/6 |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (/.f64 2/9 t)) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t))) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t))) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t))) |
(+.f64 5/6 (-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 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 5/6 (/.f64 1/27 (*.f64 t t))) (+.f64 (/.f64 4/81 (pow.f64 t 3)) (/.f64 -2/9 t))) |
(+.f64 5/6 (+.f64 (/.f64 4/81 (pow.f64 t 3)) (-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t)))) |
(+.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))) |
(*.f64 2 t) |
(*.f64 t 2) |
(-.f64 (*.f64 2 t) (*.f64 2 (pow.f64 t 2))) |
(*.f64 2 (-.f64 t (*.f64 t t))) |
(*.f64 t (-.f64 2 (*.f64 t 2))) |
(*.f64 t (+.f64 2 (*.f64 t -2))) |
(-.f64 (+.f64 (*.f64 2 (pow.f64 t 3)) (*.f64 2 t)) (*.f64 2 (pow.f64 t 2))) |
(+.f64 (*.f64 2 (pow.f64 t 3)) (*.f64 2 (-.f64 t (*.f64 t t)))) |
(*.f64 2 (-.f64 (+.f64 t (pow.f64 t 3)) (*.f64 t t))) |
(*.f64 2 (*.f64 t (-.f64 (fma.f64 t t 1) t))) |
(*.f64 (*.f64 t 2) (-.f64 (fma.f64 t t 1) t)) |
(-.f64 (+.f64 (*.f64 2 (pow.f64 t 3)) (*.f64 2 t)) (+.f64 (*.f64 2 (pow.f64 t 4)) (*.f64 2 (pow.f64 t 2)))) |
(-.f64 (*.f64 2 (+.f64 (pow.f64 t 3) t)) (*.f64 2 (+.f64 (pow.f64 t 4) (*.f64 t t)))) |
(*.f64 2 (-.f64 (+.f64 t (pow.f64 t 3)) (+.f64 (*.f64 t t) (pow.f64 t 4)))) |
(*.f64 2 (*.f64 (fma.f64 t t 1) (-.f64 t (*.f64 t t)))) |
2 |
(-.f64 2 (*.f64 2 (/.f64 1 t))) |
(-.f64 2 (/.f64 2 t)) |
(+.f64 2 (/.f64 -2 t)) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) 2) (*.f64 2 (/.f64 1 t))) |
(+.f64 (/.f64 2 (*.f64 t t)) (-.f64 2 (/.f64 2 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 (*.f64 2 (/.f64 1 (pow.f64 t 2))) 2) (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 3))))) |
(+.f64 (/.f64 2 (*.f64 t t)) (-.f64 2 (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3))))) |
(+.f64 2 (-.f64 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3))))) |
(+.f64 (/.f64 2 (*.f64 t t)) (+.f64 2 (+.f64 (/.f64 -2 t) (/.f64 -2 (pow.f64 t 3))))) |
2 |
(-.f64 2 (*.f64 2 (/.f64 1 t))) |
(-.f64 2 (/.f64 2 t)) |
(+.f64 2 (/.f64 -2 t)) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) 2) (*.f64 2 (/.f64 1 t))) |
(+.f64 (/.f64 2 (*.f64 t t)) (-.f64 2 (/.f64 2 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 (*.f64 2 (/.f64 1 (pow.f64 t 2))) 2) (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 3))))) |
(+.f64 (/.f64 2 (*.f64 t t)) (-.f64 2 (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3))))) |
(+.f64 2 (-.f64 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3))))) |
(+.f64 (/.f64 2 (*.f64 t t)) (+.f64 2 (+.f64 (/.f64 -2 t) (/.f64 -2 (pow.f64 t 3))))) |
2 |
(+.f64 2 (*.f64 4 (pow.f64 t 2))) |
(+.f64 2 (*.f64 4 (*.f64 t t))) |
(fma.f64 4 (*.f64 t t) 2) |
(-.f64 (+.f64 2 (*.f64 4 (pow.f64 t 2))) (*.f64 8 (pow.f64 t 3))) |
(+.f64 (+.f64 2 (*.f64 4 (*.f64 t t))) (*.f64 -8 (pow.f64 t 3))) |
(+.f64 (fma.f64 4 (*.f64 t t) 2) (*.f64 (pow.f64 t 3) -8)) |
(fma.f64 (pow.f64 t 3) -8 (fma.f64 4 (*.f64 t t) 2)) |
(-.f64 (+.f64 (*.f64 12 (pow.f64 t 4)) (+.f64 2 (*.f64 4 (pow.f64 t 2)))) (*.f64 8 (pow.f64 t 3))) |
(+.f64 (fma.f64 12 (pow.f64 t 4) (+.f64 2 (*.f64 4 (*.f64 t t)))) (*.f64 -8 (pow.f64 t 3))) |
(+.f64 (fma.f64 12 (pow.f64 t 4) (fma.f64 4 (*.f64 t t) 2)) (*.f64 (pow.f64 t 3) -8)) |
(fma.f64 (pow.f64 t 3) -8 (fma.f64 4 (*.f64 t t) (fma.f64 12 (pow.f64 t 4) 2))) |
6 |
(-.f64 6 (*.f64 8 (/.f64 1 t))) |
(-.f64 6 (/.f64 8 t)) |
(+.f64 6 (/.f64 -8 t)) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 6) (*.f64 8 (/.f64 1 t))) |
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 6 (/.f64 8 t))) |
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t))) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 6) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3))))) |
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 6 (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3))))) |
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (+.f64 6 (/.f64 -8 t)) (/.f64 -16 (pow.f64 t 3)))) |
6 |
(-.f64 6 (*.f64 8 (/.f64 1 t))) |
(-.f64 6 (/.f64 8 t)) |
(+.f64 6 (/.f64 -8 t)) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 6) (*.f64 8 (/.f64 1 t))) |
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 6 (/.f64 8 t))) |
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t))) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 6) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3))))) |
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 6 (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3))))) |
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (+.f64 6 (/.f64 -8 t)) (/.f64 -16 (pow.f64 t 3)))) |
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 456 | 2 | 458 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 457 | 2 | 459 |
| 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 (log.f64 (exp.f64 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))))) |
| 0.5b | (exp.f64 (-.f64 (log1p.f64 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2)) (log.f64 (+.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))))) |
Compiled 16770 to 13191 computations (21.3% saved)
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 (log.f64 (exp.f64 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))))) |
| 0.0b | (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))) | |
| ✓ | 0.0b | (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2) |
| ✓ | 1.0b | (log.f64 (exp.f64 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | -inf | (log.f64 (exp.f64 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))) |
| 1.0ms | t | @ | 0 | (log.f64 (exp.f64 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))) |
| 0.0ms | t | @ | inf | (log.f64 (exp.f64 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))) |
| 0.0ms | t | @ | 0 | (/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (log.f64 (exp.f64 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))))) |
| 0.0ms | t | @ | inf | (/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (log.f64 (exp.f64 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))))) |
| 1× | batch-egg-rewrite |
| 185× | add-sqr-sqrt_binary64 |
| 181× | pow1_binary64 |
| 179× | *-un-lft-identity_binary64 |
| 175× | add-log-exp_binary64 |
| 174× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 60 |
| 1 | 394 | 60 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (exp.f64 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))) |
(pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2) |
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (log.f64 (exp.f64 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 t (/.f64 2 (+.f64 t 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 t (/.f64 2 (+.f64 t 1))) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 t (/.f64 2 (+.f64 t 1))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 t (/.f64 2 (+.f64 t 1))) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 t (/.f64 2 (+.f64 t 1))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (*.f64 t (/.f64 2 (+.f64 t 1))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 t (/.f64 2 (+.f64 t 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t (/.f64 2 (+.f64 t 1))) (*.f64 t (/.f64 2 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (*.f64 t t)) (*.f64 (/.f64 1 (+.f64 t 1)) (/.f64 1 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (*.f64 t t)) (pow.f64 (/.f64 1 (+.f64 t 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (*.f64 t t)) (/.f64 1 (pow.f64 (+.f64 t 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t t) (*.f64 (/.f64 2 (+.f64 t 1)) (/.f64 2 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t t) (pow.f64 (/.f64 2 (+.f64 t 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 t (/.f64 2 (+.f64 t 1))) 4)) (pow.f64 (cbrt.f64 (*.f64 t (/.f64 2 (+.f64 t 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 t 2) (*.f64 t (/.f64 2 (+.f64 t 1)))) (/.f64 1 (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 t (/.f64 2 (+.f64 t 1))) (*.f64 t 2)) (/.f64 1 (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 t (+.f64 t 1)) (/.f64 t (+.f64 t 1))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 t (+.f64 t 1)) 2) 4)))) (#(struct:change #<rule 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(/.f64 (+.f64 t 1) t)) (/.f64 (+.f64 t 1) t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t 2) (*.f64 (*.f64 1/2 (/.f64 (+.f64 t 1) t)) (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t 2) (/.f64 (pow.f64 (+.f64 t 1) 2) (*.f64 t 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t 2) (/.f64 (+.f64 t 1) (*.f64 t (/.f64 2 (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t (/.f64 2 (+.f64 t 1))) (*.f64 1/2 (/.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 4 (*.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t t) (pow.f64 (*.f64 (+.f64 t 1) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t -2) (*.f64 (*.f64 1/2 (/.f64 (+.f64 t 1) t)) (neg.f64 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 t) (*.f64 (*.f64 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log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 t (/.f64 2 (+.f64 t 1))) 2)) (+.f64 2 (pow.f64 (*.f64 t (/.f64 2 (+.f64 t 1))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 t (/.f64 2 (+.f64 t 1))) 2)) (+.f64 2 (pow.f64 (*.f64 t (/.f64 2 (+.f64 t 1))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (pow.f64 (*.f64 t (/.f64 2 (+.f64 t 1))) 2)) (log.f64 (+.f64 2 (pow.f64 (*.f64 t (/.f64 2 (+.f64 t 1))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 (*.f64 t (/.f64 2 (+.f64 t 1))) 2)) (log.f64 (+.f64 2 (pow.f64 (*.f64 t (/.f64 2 (+.f64 t 1))) 2)))) 1)))))) |
| 1× | egg-herbie |
| 436× | times-frac_binary64 |
| 312× | associate-*l*_binary64 |
| 307× | fma-neg_binary64 |
| 306× | cancel-sign-sub-inv_binary64 |
| 284× | sub-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 492 |
| 1 | 164 | 478 |
| 2 | 448 | 465 |
| 3 | 1410 | 461 |
| 4 | 4230 | 461 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 4 (pow.f64 t 2)) |
(-.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 8 (pow.f64 t 3))) |
(-.f64 (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))) (*.f64 8 (pow.f64 t 3))) |
(-.f64 (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))) (+.f64 (*.f64 8 (pow.f64 t 3)) (*.f64 16 (pow.f64 t 5)))) |
4 |
(-.f64 4 (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3))))) |
4 |
(-.f64 4 (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3))))) |
(*.f64 4 (pow.f64 t 2)) |
(-.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 8 (pow.f64 t 3))) |
(-.f64 (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))) (*.f64 8 (pow.f64 t 3))) |
(-.f64 (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))) (+.f64 (*.f64 8 (pow.f64 t 3)) (*.f64 16 (pow.f64 t 5)))) |
4 |
(-.f64 4 (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3))))) |
4 |
(-.f64 4 (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (+.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 1/2 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 3))) |
(-.f64 (+.f64 (pow.f64 t 4) (+.f64 1/2 (pow.f64 t 2))) (*.f64 2 (pow.f64 t 3))) |
5/6 |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (*.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t))) |
5/6 |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (*.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t))) |
| Outputs |
|---|
(*.f64 4 (pow.f64 t 2)) |
(*.f64 4 (*.f64 t t)) |
(-.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 8 (pow.f64 t 3))) |
(+.f64 (*.f64 4 (*.f64 t t)) (*.f64 -8 (pow.f64 t 3))) |
(fma.f64 4 (*.f64 t t) (*.f64 (pow.f64 t 3) -8)) |
(*.f64 (*.f64 t t) (-.f64 4 (*.f64 t 8))) |
(*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8)))) |
(-.f64 (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))) (*.f64 8 (pow.f64 t 3))) |
(-.f64 (fma.f64 12 (pow.f64 t 4) (*.f64 4 (*.f64 t t))) (*.f64 8 (pow.f64 t 3))) |
(fma.f64 12 (pow.f64 t 4) (fma.f64 4 (*.f64 t t) (*.f64 (pow.f64 t 3) -8))) |
(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 t t) (+.f64 4 (*.f64 t (+.f64 (*.f64 t 12) -8)))) |
(-.f64 (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))) (+.f64 (*.f64 8 (pow.f64 t 3)) (*.f64 16 (pow.f64 t 5)))) |
(-.f64 (fma.f64 12 (pow.f64 t 4) (*.f64 4 (*.f64 t t))) (fma.f64 8 (pow.f64 t 3) (*.f64 16 (pow.f64 t 5)))) |
(+.f64 (fma.f64 12 (pow.f64 t 4) (fma.f64 4 (*.f64 t t) (*.f64 (pow.f64 t 3) -8))) (*.f64 -16 (pow.f64 t 5))) |
(fma.f64 4 (*.f64 t t) (fma.f64 12 (pow.f64 t 4) (fma.f64 (pow.f64 t 3) -8 (*.f64 (pow.f64 t 5) -16)))) |
(fma.f64 12 (pow.f64 t 4) (fma.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))) (*.f64 (pow.f64 t 5) -16))) |
4 |
(-.f64 4 (*.f64 8 (/.f64 1 t))) |
(-.f64 4 (/.f64 8 t)) |
(+.f64 4 (/.f64 -8 t)) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (*.f64 8 (/.f64 1 t))) |
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 4 (/.f64 8 t))) |
(+.f64 4 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t))) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3))))) |
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 4 (+.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 (+.f64 4 (/.f64 12 (*.f64 t t))) (+.f64 (/.f64 -8 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 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (*.f64 8 (/.f64 1 t))) |
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 4 (/.f64 8 t))) |
(+.f64 4 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t))) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3))))) |
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 4 (+.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 (+.f64 4 (/.f64 12 (*.f64 t t))) (+.f64 (/.f64 -8 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))))) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 4 (*.f64 t t)) |
(-.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 8 (pow.f64 t 3))) |
(+.f64 (*.f64 4 (*.f64 t t)) (*.f64 -8 (pow.f64 t 3))) |
(fma.f64 4 (*.f64 t t) (*.f64 (pow.f64 t 3) -8)) |
(*.f64 (*.f64 t t) (-.f64 4 (*.f64 t 8))) |
(*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8)))) |
(-.f64 (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))) (*.f64 8 (pow.f64 t 3))) |
(-.f64 (fma.f64 12 (pow.f64 t 4) (*.f64 4 (*.f64 t t))) (*.f64 8 (pow.f64 t 3))) |
(fma.f64 12 (pow.f64 t 4) (fma.f64 4 (*.f64 t t) (*.f64 (pow.f64 t 3) -8))) |
(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 t t) (+.f64 4 (*.f64 t (+.f64 (*.f64 t 12) -8)))) |
(-.f64 (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))) (+.f64 (*.f64 8 (pow.f64 t 3)) (*.f64 16 (pow.f64 t 5)))) |
(-.f64 (fma.f64 12 (pow.f64 t 4) (*.f64 4 (*.f64 t t))) (fma.f64 8 (pow.f64 t 3) (*.f64 16 (pow.f64 t 5)))) |
(+.f64 (fma.f64 12 (pow.f64 t 4) (fma.f64 4 (*.f64 t t) (*.f64 (pow.f64 t 3) -8))) (*.f64 -16 (pow.f64 t 5))) |
(fma.f64 4 (*.f64 t t) (fma.f64 12 (pow.f64 t 4) (fma.f64 (pow.f64 t 3) -8 (*.f64 (pow.f64 t 5) -16)))) |
(fma.f64 12 (pow.f64 t 4) (fma.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))) (*.f64 (pow.f64 t 5) -16))) |
4 |
(-.f64 4 (*.f64 8 (/.f64 1 t))) |
(-.f64 4 (/.f64 8 t)) |
(+.f64 4 (/.f64 -8 t)) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (*.f64 8 (/.f64 1 t))) |
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 4 (/.f64 8 t))) |
(+.f64 4 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t))) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3))))) |
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 4 (+.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 (+.f64 4 (/.f64 12 (*.f64 t t))) (+.f64 (/.f64 -8 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 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (*.f64 8 (/.f64 1 t))) |
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 4 (/.f64 8 t))) |
(+.f64 4 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t))) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3))))) |
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 4 (+.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 (+.f64 4 (/.f64 12 (*.f64 t t))) (+.f64 (/.f64 -8 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))))) |
1/2 |
(+.f64 1/2 (pow.f64 t 2)) |
(+.f64 (*.f64 t t) 1/2) |
(fma.f64 t t 1/2) |
(-.f64 (+.f64 1/2 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 3))) |
(+.f64 (+.f64 (*.f64 t t) 1/2) (*.f64 -2 (pow.f64 t 3))) |
(+.f64 1/2 (fma.f64 t t (*.f64 (pow.f64 t 3) -2))) |
(fma.f64 (pow.f64 t 3) -2 (fma.f64 t t 1/2)) |
(-.f64 (+.f64 (pow.f64 t 4) (+.f64 1/2 (pow.f64 t 2))) (*.f64 2 (pow.f64 t 3))) |
(+.f64 (pow.f64 t 4) (+.f64 (+.f64 (*.f64 t t) 1/2) (*.f64 -2 (pow.f64 t 3)))) |
(+.f64 (pow.f64 t 4) (+.f64 1/2 (fma.f64 t t (*.f64 (pow.f64 t 3) -2)))) |
(+.f64 (fma.f64 t t 1/2) (*.f64 (pow.f64 t 3) (-.f64 t 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 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t))) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (*.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t))) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (+.f64 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 5/6 (/.f64 1/27 (*.f64 t t))) (+.f64 (/.f64 4/81 (pow.f64 t 3)) (/.f64 -2/9 t))) |
5/6 |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (/.f64 2/9 t)) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t))) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t))) |
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t))) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (*.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t))) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (+.f64 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 5/6 (/.f64 1/27 (*.f64 t t))) (+.f64 (/.f64 4/81 (pow.f64 t 3)) (/.f64 -2/9 t))) |
2 alts after pruning (1 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 203 | 1 | 204 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 204 | 2 | 206 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (pow.f64 (/.f64 (+.f64 2 (pow.f64 (*.f64 t (/.f64 2 (+.f64 t 1))) 2)) (+.f64 1 (pow.f64 (*.f64 t (/.f64 2 (+.f64 t 1))) 2))) -1) |
| ✓ | 0.0b | (/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (log.f64 (exp.f64 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))))) |
Compiled 6510 to 5194 computations (20.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 2 (+.f64 t 1)) |
| ✓ | 0.0b | (pow.f64 (/.f64 (+.f64 2 (pow.f64 (*.f64 t (/.f64 2 (+.f64 t 1))) 2)) (+.f64 1 (pow.f64 (*.f64 t (/.f64 2 (+.f64 t 1))) 2))) -1) |
| ✓ | 0.0b | (pow.f64 (*.f64 t (/.f64 2 (+.f64 t 1))) 2) |
| ✓ | 0.1b | (*.f64 t (/.f64 2 (+.f64 t 1))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | -inf | (pow.f64 (/.f64 (+.f64 2 (pow.f64 (*.f64 t (/.f64 2 (+.f64 t 1))) 2)) (+.f64 1 (pow.f64 (*.f64 t (/.f64 2 (+.f64 t 1))) 2))) -1) |
| 0.0ms | t | @ | 0 | (pow.f64 (/.f64 (+.f64 2 (pow.f64 (*.f64 t (/.f64 2 (+.f64 t 1))) 2)) (+.f64 1 (pow.f64 (*.f64 t (/.f64 2 (+.f64 t 1))) 2))) -1) |
| 0.0ms | t | @ | inf | (/.f64 2 (+.f64 t 1)) |
| 0.0ms | t | @ | inf | (pow.f64 (/.f64 (+.f64 2 (pow.f64 (*.f64 t (/.f64 2 (+.f64 t 1))) 2)) (+.f64 1 (pow.f64 (*.f64 t (/.f64 2 (+.f64 t 1))) 2))) -1) |
| 0.0ms | t | @ | 0 | (*.f64 t (/.f64 2 (+.f64 t 1))) |
| 1× | batch-egg-rewrite |
| 715× | prod-diff_binary64 |
| 151× | add-sqr-sqrt_binary64 |
| 146× | pow1_binary64 |
| 144× | *-un-lft-identity_binary64 |
| 142× | add-log-exp_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 67 |
| 1 | 303 | 64 |
| 2 | 4144 | 64 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 t (/.f64 2 (+.f64 t 1))) |
(pow.f64 (*.f64 t (/.f64 2 (+.f64 t 1))) 2) |
(pow.f64 (/.f64 (+.f64 2 (pow.f64 (*.f64 t (/.f64 2 (+.f64 t 1))) 2)) (+.f64 1 (pow.f64 (*.f64 t (/.f64 2 (+.f64 t 1))) 2))) -1) |
(/.f64 2 (+.f64 t 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 t (*.f64 (+.f64 t 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 t 1) (*.f64 t 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t 2) (+.f64 t 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 t 2)) (+.f64 -1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 t 2) 1) (+.f64 t 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 t 2) (pow.f64 (cbrt.f64 (+.f64 t 1)) 2)) (cbrt.f64 (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 t 2) (sqrt.f64 (+.f64 t 1))) (sqrt.f64 (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 t) (+.f64 -1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t -2) (+.f64 -1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 t 2) (+.f64 t 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 t 2) (+.f64 t 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 t 2) (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 t 3) (pow.f64 (/.f64 2 (+.f64 t 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 2 (+.f64 t 1)) 3) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 t 2) (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 t 2) (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 t 2)) (log1p.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 t 2)) (log1p.f64 t)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 t (*.f64 (/.f64 2 (+.f64 t 1)) (/.f64 (*.f64 t 2) (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 t 1)) (*.f64 t (/.f64 (*.f64 t 2) (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) (/.f64 (*.f64 t 2) (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 t 2) (+.f64 t 1))) 2) (cbrt.f64 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 t 2) (+.f64 t 1))) 2) (*.f64 (cbrt.f64 (/.f64 (*.f64 t 2) (+.f64 t 1))) (/.f64 (*.f64 t 2) (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 4)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 t 2) (+.f64 t 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (*.f64 t 2) (+.f64 t 1))) (*.f64 (sqrt.f64 (/.f64 (*.f64 t 2) (+.f64 t 1))) (/.f64 (*.f64 t 2) (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t t) (pow.f64 (/.f64 2 (+.f64 t 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 2 (+.f64 t 1)) 2) (*.f64 t t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) (sqrt.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)))) (sqrt.f64 (/.f64 (*.f64 t 2) (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) t) (/.f64 2 (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) (/.f64 2 (+.f64 t 1))) t)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 t 2) (+.f64 t 1))) 2)) (cbrt.f64 (/.f64 (*.f64 t 2) (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 t 2) (*.f64 t 2)) (pow.f64 (+.f64 t 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 t 2) (/.f64 (*.f64 t 2) (+.f64 t 1))) (+.f64 t 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) (*.f64 t 2)) (+.f64 t 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (-.f64 (log.f64 (*.f64 t 2)) (log1p.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (-.f64 (log.f64 (*.f64 t 2)) (log1p.f64 t))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2)) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2)) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2)) (/.f64 1 (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2)) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2)) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2)) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 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2)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2)) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2)) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2)) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2)) (log.f64 (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 2 (+.f64 t 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 t 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2 (+.f64 t 1))) (cbrt.f64 (pow.f64 (/.f64 2 (+.f64 t 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 2 (+.f64 t 1)) 2)) (cbrt.f64 (/.f64 2 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2 (+.f64 t 1))) (sqrt.f64 (/.f64 2 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (+.f64 -1 (neg.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 t 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 1 (pow.f64 t 3))) (fma.f64 t t (-.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (fma.f64 t t -1)) (+.f64 t -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (+.f64 t 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 2 (+.f64 t 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (+.f64 t 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 2 (+.f64 t 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 t 1) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 2 (+.f64 t 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 2 (+.f64 t 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 2) (log1p.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 2) (log1p.f64 t)) 1)))))) |
| 1× | egg-herbie |
| 769× | fma-neg_binary64 |
| 361× | fma-def_binary64 |
| 298× | sub-neg_binary64 |
| 237× | cancel-sign-sub-inv_binary64 |
| 163× | distribute-rgt-out--_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 660 |
| 1 | 279 | 638 |
| 2 | 853 | 612 |
| 3 | 2669 | 605 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2 t) |
(-.f64 (*.f64 2 t) (*.f64 2 (pow.f64 t 2))) |
(-.f64 (+.f64 (*.f64 2 (pow.f64 t 3)) (*.f64 2 t)) (*.f64 2 (pow.f64 t 2))) |
(-.f64 (+.f64 (*.f64 2 (pow.f64 t 3)) (*.f64 2 t)) (+.f64 (*.f64 2 (pow.f64 t 4)) (*.f64 2 (pow.f64 t 2)))) |
2 |
(-.f64 2 (*.f64 2 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) 2) (*.f64 2 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) 2) (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 3))))) |
2 |
(-.f64 2 (*.f64 2 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) 2) (*.f64 2 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) 2) (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 3))))) |
(*.f64 4 (pow.f64 t 2)) |
(-.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 8 (pow.f64 t 3))) |
(-.f64 (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))) (*.f64 8 (pow.f64 t 3))) |
(-.f64 (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))) (+.f64 (*.f64 8 (pow.f64 t 3)) (*.f64 16 (pow.f64 t 5)))) |
4 |
(-.f64 4 (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3))))) |
4 |
(-.f64 4 (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (+.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 1/2 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 3))) |
(-.f64 (+.f64 (pow.f64 t 4) (+.f64 1/2 (pow.f64 t 2))) (*.f64 2 (pow.f64 t 3))) |
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))) |
2 |
(-.f64 2 (*.f64 2 t)) |
(-.f64 (+.f64 2 (*.f64 2 (pow.f64 t 2))) (*.f64 2 t)) |
(-.f64 (+.f64 2 (*.f64 2 (pow.f64 t 2))) (+.f64 (*.f64 2 (pow.f64 t 3)) (*.f64 2 t))) |
(/.f64 2 t) |
(-.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 2)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 3)))) (*.f64 2 (/.f64 1 (pow.f64 t 2)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 3)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) (*.f64 2 (/.f64 1 (pow.f64 t 4))))) |
(/.f64 2 t) |
(-.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 2)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 3)))) (*.f64 2 (/.f64 1 (pow.f64 t 2)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 3)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) (*.f64 2 (/.f64 1 (pow.f64 t 4))))) |
| Outputs |
|---|
(*.f64 2 t) |
(-.f64 (*.f64 2 t) (*.f64 2 (pow.f64 t 2))) |
(*.f64 2 (-.f64 t (*.f64 t t))) |
(*.f64 t (fma.f64 t -2 2)) |
(-.f64 (+.f64 (*.f64 2 (pow.f64 t 3)) (*.f64 2 t)) (*.f64 2 (pow.f64 t 2))) |
(+.f64 (*.f64 2 (pow.f64 t 3)) (*.f64 2 (-.f64 t (*.f64 t t)))) |
(*.f64 2 (-.f64 (+.f64 t (pow.f64 t 3)) (*.f64 t t))) |
(*.f64 2 (*.f64 t (-.f64 (fma.f64 t t 1) t))) |
(-.f64 (+.f64 (*.f64 2 (pow.f64 t 3)) (*.f64 2 t)) (+.f64 (*.f64 2 (pow.f64 t 4)) (*.f64 2 (pow.f64 t 2)))) |
(-.f64 (*.f64 2 (+.f64 (pow.f64 t 3) t)) (*.f64 2 (+.f64 (pow.f64 t 4) (*.f64 t t)))) |
(*.f64 2 (-.f64 (+.f64 t (pow.f64 t 3)) (+.f64 (*.f64 t t) (pow.f64 t 4)))) |
(*.f64 2 (*.f64 (fma.f64 t t 1) (-.f64 t (*.f64 t t)))) |
(*.f64 (fma.f64 t t 1) (*.f64 t (fma.f64 t -2 2))) |
2 |
(-.f64 2 (*.f64 2 (/.f64 1 t))) |
(-.f64 2 (/.f64 2 t)) |
(+.f64 2 (/.f64 -2 t)) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) 2) (*.f64 2 (/.f64 1 t))) |
(-.f64 (+.f64 2 (/.f64 2 (*.f64 t t))) (/.f64 2 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 (*.f64 2 (/.f64 1 (pow.f64 t 2))) 2) (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 3))))) |
(+.f64 (/.f64 2 (*.f64 t t)) (-.f64 2 (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3))))) |
(+.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 t)) (/.f64 -2 (pow.f64 t 3)))) |
(+.f64 (/.f64 2 (*.f64 t t)) (+.f64 (+.f64 2 (/.f64 -2 t)) (/.f64 -2 (pow.f64 t 3)))) |
2 |
(-.f64 2 (*.f64 2 (/.f64 1 t))) |
(-.f64 2 (/.f64 2 t)) |
(+.f64 2 (/.f64 -2 t)) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) 2) (*.f64 2 (/.f64 1 t))) |
(-.f64 (+.f64 2 (/.f64 2 (*.f64 t t))) (/.f64 2 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 (*.f64 2 (/.f64 1 (pow.f64 t 2))) 2) (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 3))))) |
(+.f64 (/.f64 2 (*.f64 t t)) (-.f64 2 (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3))))) |
(+.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 t)) (/.f64 -2 (pow.f64 t 3)))) |
(+.f64 (/.f64 2 (*.f64 t t)) (+.f64 (+.f64 2 (/.f64 -2 t)) (/.f64 -2 (pow.f64 t 3)))) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 (*.f64 t t) 4) |
(*.f64 t (*.f64 t 4)) |
(-.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 8 (pow.f64 t 3))) |
(+.f64 (*.f64 (*.f64 t t) 4) (*.f64 -8 (pow.f64 t 3))) |
(fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -8)) |
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))) |
(*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8)))) |
(-.f64 (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))) (*.f64 8 (pow.f64 t 3))) |
(+.f64 (fma.f64 12 (pow.f64 t 4) (*.f64 (*.f64 t t) 4)) (*.f64 -8 (pow.f64 t 3))) |
(fma.f64 (pow.f64 t 4) 12 (fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -8))) |
(fma.f64 (pow.f64 t 4) 12 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))) |
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (-.f64 (*.f64 t 12) 8)))) |
(-.f64 (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))) (+.f64 (*.f64 8 (pow.f64 t 3)) (*.f64 16 (pow.f64 t 5)))) |
(-.f64 (fma.f64 12 (pow.f64 t 4) (*.f64 (*.f64 t t) 4)) (fma.f64 8 (pow.f64 t 3) (*.f64 16 (pow.f64 t 5)))) |
(-.f64 (fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 4) 12)) (fma.f64 (pow.f64 t 3) 8 (*.f64 16 (pow.f64 t 5)))) |
(fma.f64 (pow.f64 t 4) 12 (fma.f64 t (*.f64 t 4) (fma.f64 (pow.f64 t 3) -8 (*.f64 (pow.f64 t 5) -16)))) |
(fma.f64 (pow.f64 t 4) 12 (fma.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))) (*.f64 (pow.f64 t 5) -16))) |
4 |
(-.f64 4 (*.f64 8 (/.f64 1 t))) |
(-.f64 4 (/.f64 8 t)) |
(+.f64 4 (/.f64 -8 t)) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (*.f64 8 (/.f64 1 t))) |
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 4 (/.f64 8 t))) |
(+.f64 4 (+.f64 (/.f64 (/.f64 12 t) t) (/.f64 -8 t))) |
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 4 (/.f64 -8 t))) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3))))) |
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 4 (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3))))) |
(+.f64 4 (-.f64 (/.f64 (/.f64 12 t) t) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3))))) |
(+.f64 4 (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 -8 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 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (*.f64 8 (/.f64 1 t))) |
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 4 (/.f64 8 t))) |
(+.f64 4 (+.f64 (/.f64 (/.f64 12 t) t) (/.f64 -8 t))) |
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 4 (/.f64 -8 t))) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3))))) |
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 4 (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3))))) |
(+.f64 4 (-.f64 (/.f64 (/.f64 12 t) t) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3))))) |
(+.f64 4 (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3))))) |
1/2 |
(+.f64 1/2 (pow.f64 t 2)) |
(+.f64 (*.f64 t t) 1/2) |
(fma.f64 t t 1/2) |
(-.f64 (+.f64 1/2 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 3))) |
(+.f64 (+.f64 (*.f64 t t) 1/2) (*.f64 -2 (pow.f64 t 3))) |
(-.f64 (fma.f64 t t 1/2) (*.f64 2 (pow.f64 t 3))) |
(fma.f64 (pow.f64 t 3) -2 (fma.f64 t t 1/2)) |
(-.f64 (+.f64 (pow.f64 t 4) (+.f64 1/2 (pow.f64 t 2))) (*.f64 2 (pow.f64 t 3))) |
(+.f64 (pow.f64 t 4) (+.f64 (+.f64 (*.f64 t t) 1/2) (*.f64 -2 (pow.f64 t 3)))) |
(+.f64 (pow.f64 t 4) (-.f64 (fma.f64 t t 1/2) (*.f64 2 (pow.f64 t 3)))) |
(+.f64 (fma.f64 t t 1/2) (*.f64 (pow.f64 t 3) (-.f64 t 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 5/6 (-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 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 (/.f64 4/81 (pow.f64 t 3)) (+.f64 5/6 (/.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))) |
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 5/6 (-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 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 (/.f64 4/81 (pow.f64 t 3)) (+.f64 5/6 (/.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))) |
2 |
(-.f64 2 (*.f64 2 t)) |
(+.f64 2 (*.f64 -2 t)) |
(+.f64 2 (*.f64 t -2)) |
(fma.f64 t -2 2) |
(-.f64 (+.f64 2 (*.f64 2 (pow.f64 t 2))) (*.f64 2 t)) |
(+.f64 2 (-.f64 (*.f64 2 (*.f64 t t)) (*.f64 2 t))) |
(+.f64 2 (*.f64 2 (-.f64 (*.f64 t t) t))) |
(fma.f64 2 (-.f64 (*.f64 t t) t) 2) |
(+.f64 2 (*.f64 t (fma.f64 2 t -2))) |
(-.f64 (+.f64 2 (*.f64 2 (pow.f64 t 2))) (+.f64 (*.f64 2 (pow.f64 t 3)) (*.f64 2 t))) |
(+.f64 2 (-.f64 (*.f64 2 (*.f64 t t)) (*.f64 2 (+.f64 (pow.f64 t 3) t)))) |
(+.f64 2 (*.f64 2 (-.f64 (*.f64 t t) (+.f64 t (pow.f64 t 3))))) |
(fma.f64 2 (*.f64 t (-.f64 t (fma.f64 t t 1))) 2) |
(*.f64 (fma.f64 t t 1) (fma.f64 t -2 2)) |
(/.f64 2 t) |
(-.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 2)))) |
(-.f64 (/.f64 2 t) (/.f64 2 (*.f64 t t))) |
(+.f64 (/.f64 2 t) (/.f64 (/.f64 -2 t) t)) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 3)))) (*.f64 2 (/.f64 1 (pow.f64 t 2)))) |
(+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 2 (*.f64 t t)))) |
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 (/.f64 -2 t) t))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 3)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) (*.f64 2 (/.f64 1 (pow.f64 t 4))))) |
(-.f64 (+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 2 (*.f64 t t)))) (/.f64 2 (pow.f64 t 4))) |
(+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (pow.f64 t 3)) (+.f64 (/.f64 2 (*.f64 t t)) (/.f64 2 (pow.f64 t 4))))) |
(+.f64 (/.f64 2 (pow.f64 t 3)) (-.f64 (+.f64 (/.f64 2 t) (/.f64 (/.f64 -2 t) t)) (/.f64 2 (pow.f64 t 4)))) |
(+.f64 (/.f64 2 (pow.f64 t 3)) (+.f64 (/.f64 2 t) (-.f64 (/.f64 (/.f64 -2 t) t) (/.f64 2 (pow.f64 t 4))))) |
(/.f64 2 t) |
(-.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 2)))) |
(-.f64 (/.f64 2 t) (/.f64 2 (*.f64 t t))) |
(+.f64 (/.f64 2 t) (/.f64 (/.f64 -2 t) t)) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 3)))) (*.f64 2 (/.f64 1 (pow.f64 t 2)))) |
(+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 2 (*.f64 t t)))) |
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 (/.f64 -2 t) t))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 3)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) (*.f64 2 (/.f64 1 (pow.f64 t 4))))) |
(-.f64 (+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 2 (*.f64 t t)))) (/.f64 2 (pow.f64 t 4))) |
(+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (pow.f64 t 3)) (+.f64 (/.f64 2 (*.f64 t t)) (/.f64 2 (pow.f64 t 4))))) |
(+.f64 (/.f64 2 (pow.f64 t 3)) (-.f64 (+.f64 (/.f64 2 t) (/.f64 (/.f64 -2 t) t)) (/.f64 2 (pow.f64 t 4)))) |
(+.f64 (/.f64 2 (pow.f64 t 3)) (+.f64 (/.f64 2 t) (-.f64 (/.f64 (/.f64 -2 t) t) (/.f64 2 (pow.f64 t 4))))) |
2 alts after pruning (0 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 299 | 0 | 299 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 299 | 2 | 301 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (pow.f64 (/.f64 (+.f64 2 (pow.f64 (*.f64 t (/.f64 2 (+.f64 t 1))) 2)) (+.f64 1 (pow.f64 (*.f64 t (/.f64 2 (+.f64 t 1))) 2))) -1) |
| ✓ | 0.0b | (/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (log.f64 (exp.f64 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))))) |
Compiled 8845 to 7397 computations (16.4% saved)
Total 0.0b remaining (69.5%)
Threshold costs 0.0b (69.5%)
Compiled 5023 to 4070 computations (19% saved)
| 1× | egg-herbie |
| 3× | +-commutative_binary64 |
| 2× | *-commutative_binary64 |
| 1× | *-rgt-identity_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 38 |
| 1 | 22 | 38 |
| 1× | saturated |
| Inputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2)) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2)))) 1)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2)) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2)))) 1)) |
(exp.f64 (log.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2))))) |
| 1× | done |
Compiled 110 to 92 computations (16.4% saved)
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