Time bar (total: 10.6s)
| 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)
| 1.6s | 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 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 1 (*.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 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))) |
Compiled 101 to 76 computations (24.8% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | t | @ | inf | (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.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 2 t) (+.f64 1 t)) |
| 1.0ms | t | @ | inf | (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) |
| 1× | batch-egg-rewrite |
| 972× | prod-diff_binary64 |
| 559× | log-prod_binary64 |
| 373× | fma-def_binary64 |
| 216× | log-div_binary64 |
| 198× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 55 |
| 1 | 232 | 55 |
| 2 | 3460 | 55 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))) |
(/.f64 (*.f64 2 t) (+.f64 1 t)) |
(+.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 |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2))) (cbrt.f64 (exp.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2)))) (log.f64 (sqrt.f64 (exp.f64 (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) 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 t t) (*.f64 (*.f64 1/2 (/.f64 (+.f64 t 1) t)) (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 t t) (*.f64 (+.f64 t 1) (*.f64 1/2 (/.f64 (+.f64 t 1) t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 t t) (/.f64 (pow.f64 (+.f64 t 1) 2) (+.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 t 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 t 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 t t)) (*.f64 (/.f64 (+.f64 t 1) t) (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 t -2) (+.f64 t 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 t 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)) (cbrt.f64 (pow.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 t t)) (log1p.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 t t)) (log1p.f64 t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (-.f64 (log.f64 (+.f64 t 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)) (cbrt.f64 (pow.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 (cbrt.f64 (pow.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> (2) ((x fma.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 6)) (/.f64 1 (-.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 4)) (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 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t 1))) 4) 4) (-.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 2 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 2 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 2 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 2 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 2 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 2 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 2 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 2 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 2 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 t t) (*.f64 (exp.f64 (neg.f64 (log1p.f64 t))) (*.f64 2 (/.f64 t (+.f64 t 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) (*.f64 2 (/.f64 t (+.f64 t 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2) 1 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (*.f64 t t)) (*.f64 (exp.f64 (neg.f64 (log1p.f64 t))) (exp.f64 (neg.f64 (log1p.f64 t)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (*.f64 t t)) (pow.f64 (exp.f64 (neg.f64 (log1p.f64 t))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (*.f64 t t)) (/.f64 1 (pow.f64 (+.f64 t 1) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.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)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.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)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.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) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.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)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (exp.f64 (neg.f64 (log1p.f64 t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.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)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 t t) 1) (/.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) (+.f64 t 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 t t) (cbrt.f64 (pow.f64 (+.f64 t 1) 2))) (/.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) (cbrt.f64 (+.f64 t 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 t t) (sqrt.f64 (+.f64 t 1))) (/.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) (sqrt.f64 (+.f64 t 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) (sqrt.f64 (+.f64 t 1))) (/.f64 (+.f64 t t) (sqrt.f64 (+.f64 t 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 1) (*.f64 2 (/.f64 t (+.f64 t 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) (cbrt.f64 (pow.f64 (+.f64 t 1) 2))) (/.f64 (+.f64 t t) (cbrt.f64 (+.f64 t 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 1 (pow.f64 t 3))) (fma.f64 t (-.f64 t 1) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (-.f64 1 (*.f64 t t))) (-.f64 1 t) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.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)))) 2))))) |
| 1× | egg-herbie |
| 765× | times-frac_binary64 |
| 725× | fma-neg_binary64 |
| 455× | cancel-sign-sub-inv_binary64 |
| 395× | distribute-rgt-out_binary64 |
| 378× | fma-def_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 624 |
| 1 | 219 | 620 |
| 2 | 579 | 605 |
| 3 | 1715 | 598 |
| 4 | 4376 | 583 |
| 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 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)))) |
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))))) |
5 |
(-.f64 5 (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 5 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 5 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3))))) |
5 |
(-.f64 5 (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 5 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 5 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3))))) |
2 |
(+.f64 2 (*.f64 4 (pow.f64 t 2))) |
(+.f64 2 (+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))) |
(+.f64 2 (+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4))))) |
6 |
(-.f64 6 (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3))))) |
6 |
(-.f64 6 (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3))))) |
| Outputs |
|---|
(*.f64 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 4 (*.f64 t t) (*.f64 12 (pow.f64 t 4)))) |
(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 -8 (*.f64 t 12))))) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 -16 (pow.f64 t 5)) (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))))) |
(fma.f64 -8 (pow.f64 t 3) (fma.f64 -16 (pow.f64 t 5) (fma.f64 4 (*.f64 t t) (*.f64 12 (pow.f64 t 4))))) |
(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 -8 (*.f64 t 12)))))) |
4 |
(-.f64 4 (*.f64 8 (/.f64 1 t))) |
(-.f64 4 (/.f64 8 t)) |
(+.f64 4 (/.f64 -8 t)) |
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(+.f64 4 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t))) |
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 4 (/.f64 -8 t))) |
(+.f64 (+.f64 4 (/.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 4 (+.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))))) |
(-.f64 (+.f64 4 (/.f64 -8 t)) (*.f64 (/.f64 1 (*.f64 t t)) (-.f64 (/.f64 16 t) 12))) |
4 |
(-.f64 4 (*.f64 8 (/.f64 1 t))) |
(-.f64 4 (/.f64 8 t)) |
(+.f64 4 (/.f64 -8 t)) |
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(+.f64 4 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t))) |
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 4 (/.f64 -8 t))) |
(+.f64 (+.f64 4 (/.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 4 (+.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))))) |
(-.f64 (+.f64 4 (/.f64 -8 t)) (*.f64 (/.f64 1 (*.f64 t t)) (-.f64 (/.f64 16 t) 12))) |
(*.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 2 (*.f64 t (+.f64 (*.f64 t 2) -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 (fma.f64 (*.f64 t t) -2 (fma.f64 2 (pow.f64 t 3) (*.f64 (pow.f64 t 4) -2)))) |
(fma.f64 -2 (fma.f64 t t (pow.f64 t 4)) (*.f64 2 (+.f64 t (pow.f64 t 3)))) |
(*.f64 (+.f64 (*.f64 t t) 1) (*.f64 t (+.f64 2 (*.f64 t -2)))) |
(*.f64 (+.f64 t (pow.f64 t 3)) (+.f64 2 (*.f64 t -2))) |
2 |
(-.f64 2 (*.f64 2 (/.f64 1 t))) |
(-.f64 2 (/.f64 2 t)) |
(+.f64 2 (/.f64 -2 t)) |
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (*.f64 2 (/.f64 1 t))) |
(-.f64 (+.f64 2 (/.f64 2 (*.f64 t t))) (/.f64 2 t)) |
(+.f64 2 (+.f64 (/.f64 2 (*.f64 t t)) (/.f64 -2 t))) |
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t)))) |
(-.f64 (+.f64 2 (/.f64 2 (*.f64 t t))) (+.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 (+.f64 2 (/.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 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 (+.f64 2 (/.f64 2 (*.f64 t t))) (/.f64 2 t)) |
(+.f64 2 (+.f64 (/.f64 2 (*.f64 t t)) (/.f64 -2 t))) |
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t)))) |
(-.f64 (+.f64 2 (/.f64 2 (*.f64 t t))) (+.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 (+.f64 2 (/.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 1 (/.f64 1 (*.f64 t t))) (+.f64 2 (/.f64 -2 t))) |
1 |
(+.f64 1 (*.f64 4 (pow.f64 t 2))) |
(+.f64 (*.f64 4 (*.f64 t t)) 1) |
(fma.f64 4 (*.f64 t t) 1) |
(fma.f64 t (*.f64 4 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)) |
(+.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 1 (fma.f64 -8 (pow.f64 t 3) (fma.f64 12 (pow.f64 t 4) (*.f64 4 (*.f64 t t))))) |
(+.f64 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))) (fma.f64 12 (pow.f64 t 4) 1)) |
(+.f64 1 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12)))))) |
5 |
(-.f64 5 (*.f64 8 (/.f64 1 t))) |
(-.f64 5 (/.f64 8 t)) |
(+.f64 5 (/.f64 -8 t)) |
(-.f64 (+.f64 5 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(+.f64 5 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t))) |
(+.f64 5 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t))) |
(-.f64 (+.f64 5 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3))))) |
(+.f64 5 (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3))))) |
(+.f64 (+.f64 5 (/.f64 12 (*.f64 t t))) (-.f64 (/.f64 -8 t) (/.f64 16 (pow.f64 t 3)))) |
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 5 (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3))))) |
(+.f64 5 (+.f64 (/.f64 12 (*.f64 t t)) (-.f64 (/.f64 -8 t) (/.f64 16 (pow.f64 t 3))))) |
5 |
(-.f64 5 (*.f64 8 (/.f64 1 t))) |
(-.f64 5 (/.f64 8 t)) |
(+.f64 5 (/.f64 -8 t)) |
(-.f64 (+.f64 5 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(+.f64 5 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t))) |
(+.f64 5 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t))) |
(-.f64 (+.f64 5 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3))))) |
(+.f64 5 (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3))))) |
(+.f64 (+.f64 5 (/.f64 12 (*.f64 t t))) (-.f64 (/.f64 -8 t) (/.f64 16 (pow.f64 t 3)))) |
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 5 (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3))))) |
(+.f64 5 (+.f64 (/.f64 12 (*.f64 t t)) (-.f64 (/.f64 -8 t) (/.f64 16 (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 2 (+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))) |
(+.f64 2 (fma.f64 -8 (pow.f64 t 3) (*.f64 4 (*.f64 t t)))) |
(+.f64 2 (fma.f64 4 (*.f64 t t) (*.f64 -8 (pow.f64 t 3)))) |
(fma.f64 4 (*.f64 t t) (fma.f64 -8 (pow.f64 t 3) 2)) |
(+.f64 2 (+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4))))) |
(+.f64 2 (fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (*.f64 t t) (*.f64 12 (pow.f64 t 4))))) |
(+.f64 2 (fma.f64 -8 (pow.f64 t 3) (fma.f64 12 (pow.f64 t 4) (*.f64 4 (*.f64 t t))))) |
(+.f64 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))) (fma.f64 12 (pow.f64 t 4) 2)) |
(+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12)))))) |
6 |
(-.f64 6 (*.f64 8 (/.f64 1 t))) |
(-.f64 6 (/.f64 8 t)) |
(+.f64 6 (/.f64 -8 t)) |
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(+.f64 6 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t))) |
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t))) |
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3))))) |
(+.f64 6 (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3))))) |
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 6 (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3))))) |
(+.f64 6 (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3))))) |
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (-.f64 (/.f64 -8 t) (/.f64 16 (pow.f64 t 3))))) |
(+.f64 (+.f64 6 (/.f64 -8 t)) (*.f64 (/.f64 1 (*.f64 t t)) (-.f64 12 (/.f64 16 t)))) |
6 |
(-.f64 6 (*.f64 8 (/.f64 1 t))) |
(-.f64 6 (/.f64 8 t)) |
(+.f64 6 (/.f64 -8 t)) |
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(+.f64 6 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t))) |
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t))) |
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3))))) |
(+.f64 6 (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3))))) |
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 6 (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3))))) |
(+.f64 6 (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3))))) |
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (-.f64 (/.f64 -8 t) (/.f64 16 (pow.f64 t 3))))) |
(+.f64 (+.f64 6 (/.f64 -8 t)) (*.f64 (/.f64 1 (*.f64 t t)) (-.f64 12 (/.f64 16 t)))) |
Compiled 19931 to 15222 computations (23.6% saved)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 518 | 9 | 527 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 518 | 10 | 528 |
| Status | Error | Program |
|---|---|---|
| 29.0b | (/.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 t 2)))) | |
| 28.8b | (/.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)))) | |
| ▶ | 25.2b | (/.f64 1 (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))) |
| ▶ | 12.4b | (/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))) |
| ▶ | 34.2b | (/.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))))) |
| ▶ | 33.3b | (/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 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))))) |
| 29.1b | (/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) 6) | |
| ▶ | 33.6b | (/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 6 (/.f64 -8 t))) |
| 12.8b | (/.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))))) |
Compiled 544 to 424 computations (22.1% saved)
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))) | |
| ✓ | 11.8b | (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) |
Compiled 131 to 89 computations (32.1% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | inf | (*.f64 4 (*.f64 t t)) |
| 1.0ms | t | @ | 0 | (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) |
| 1.0ms | t | @ | 0 | (*.f64 4 (*.f64 t t)) |
| 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 | 20 |
| 1 | 174 | 20 |
| 2 | 2359 | 20 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) |
(*.f64 4 (*.f64 t t)) |
| 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 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(-.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))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (*.f64 t t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 4 (*.f64 t t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 4 (*.f64 t t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 16 (pow.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4) (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 4 (*.f64 t t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 4 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 4 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 4 (*.f64 t 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 | 234 |
| 1 | 90 | 234 |
| 2 | 224 | 230 |
| 3 | 639 | 223 |
| 4 | 2017 | 223 |
| 5 | 4493 | 217 |
| 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))))) |
(*.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 |
|---|
(*.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)) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 4 (*.f64 t t)) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 4 (*.f64 t t)) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 4 (*.f64 t t)) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 4 (*.f64 t t)) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 4 (*.f64 t t)) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 4 (*.f64 t t)) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 4 (*.f64 t t)) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 4 (*.f64 t t)) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 4 (*.f64 t t)) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 4 (*.f64 t t)) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 4 (*.f64 t t)) |
(*.f64 4 (pow.f64 t 2)) |
(*.f64 4 (*.f64 t t)) |
Found 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 1 (+.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 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))) |
Compiled 68 to 51 computations (25% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 25.0ms | t | @ | 0 | (/.f64 1 (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))) |
| 1.0ms | t | @ | -inf | (/.f64 1 (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))) |
| 0.0ms | t | @ | inf | (/.f64 1 (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))) |
| 1× | batch-egg-rewrite |
| 557× | log-prod_binary64 |
| 344× | pow-prod-down_binary64 |
| 284× | pow2_binary64 |
| 229× | fma-def_binary64 |
| 210× | log-div_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 19 |
| 1 | 231 | 19 |
| 2 | 3360 | 19 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 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 0 (/.f64 1 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))))) (cbrt.f64 (pow.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))) -2)) (/.f64 1 (cbrt.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))) -1/2) (pow.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 (neg.f64 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 8 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 6))) (fma.f64 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2)) (-.f64 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2)) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 4))) (-.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2)))) -2) (/.f64 1 (cbrt.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2)))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (+.f64 (neg.f64 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))))) 1)))))) |
| 1× | egg-herbie |
| 562× | associate-/r*_binary64 |
| 410× | fma-def_binary64 |
| 346× | times-frac_binary64 |
| 218× | distribute-rgt-neg-in_binary64 |
| 210× | div-sub_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 147 |
| 1 | 92 | 140 |
| 2 | 235 | 139 |
| 3 | 754 | 135 |
| 4 | 2925 | 135 |
| 5 | 7687 | 135 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 (*.f64 -1 (pow.f64 t 2)) 1/2) |
(+.f64 (*.f64 -1 (pow.f64 t 2)) (+.f64 1/2 (*.f64 2 (pow.f64 t 3)))) |
(+.f64 (*.f64 -1 (pow.f64 t 2)) (+.f64 1/2 (+.f64 (*.f64 2 (pow.f64 t 3)) (*.f64 -1 (pow.f64 t 4))))) |
1/6 |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) |
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 4/81 (/.f64 1 (pow.f64 t 3))))) |
1/6 |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) |
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 4/81 (/.f64 1 (pow.f64 t 3))))) |
| Outputs |
|---|
1/2 |
(+.f64 (*.f64 -1 (pow.f64 t 2)) 1/2) |
(fma.f64 -1 (*.f64 t t) 1/2) |
(-.f64 1/2 (*.f64 t t)) |
(fma.f64 t (neg.f64 t) 1/2) |
(+.f64 (*.f64 -1 (pow.f64 t 2)) (+.f64 1/2 (*.f64 2 (pow.f64 t 3)))) |
(+.f64 (fma.f64 -1 (*.f64 t t) 1/2) (*.f64 2 (pow.f64 t 3))) |
(-.f64 (fma.f64 2 (pow.f64 t 3) 1/2) (*.f64 t t)) |
(fma.f64 (*.f64 t t) (fma.f64 t 2 -1) 1/2) |
(+.f64 (*.f64 -1 (pow.f64 t 2)) (+.f64 1/2 (+.f64 (*.f64 2 (pow.f64 t 3)) (*.f64 -1 (pow.f64 t 4))))) |
(+.f64 (fma.f64 -1 (*.f64 t t) 1/2) (fma.f64 2 (pow.f64 t 3) (neg.f64 (pow.f64 t 4)))) |
(-.f64 (-.f64 (fma.f64 2 (pow.f64 t 3) 1/2) (pow.f64 t 4)) (*.f64 t t)) |
(+.f64 1/2 (-.f64 (*.f64 (pow.f64 t 3) (-.f64 2 t)) (*.f64 t t))) |
(fma.f64 (pow.f64 t 3) (-.f64 2 t) (-.f64 1/2 (*.f64 t t))) |
(-.f64 (*.f64 (pow.f64 t 3) (-.f64 2 t)) (fma.f64 t t -1/2)) |
1/6 |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (/.f64 2/9 t)) |
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) |
(+.f64 1/6 (-.f64 (/.f64 2/9 t) (/.f64 1/27 (*.f64 t t)))) |
(+.f64 1/6 (+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t t)))) |
(+.f64 (/.f64 2/9 t) (+.f64 1/6 (/.f64 -1/27 (*.f64 t t)))) |
(+.f64 (/.f64 2/9 t) (-.f64 1/6 (/.f64 1/27 (*.f64 t t)))) |
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 4/81 (/.f64 1 (pow.f64 t 3))))) |
(+.f64 1/6 (-.f64 (/.f64 2/9 t) (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3))))) |
(-.f64 (+.f64 1/6 (/.f64 2/9 t)) (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3)))) |
(+.f64 1/6 (+.f64 (/.f64 2/9 t) (+.f64 (/.f64 -1/27 (*.f64 t t)) (/.f64 -4/81 (pow.f64 t 3))))) |
(+.f64 1/6 (+.f64 (+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t t))) (/.f64 -4/81 (pow.f64 t 3)))) |
(+.f64 1/6 (+.f64 (/.f64 2/9 t) (*.f64 (/.f64 (/.f64 1 t) t) (-.f64 (/.f64 -4/81 t) 1/27)))) |
1/6 |
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) |
(+.f64 1/6 (/.f64 2/9 t)) |
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) |
(+.f64 1/6 (-.f64 (/.f64 2/9 t) (/.f64 1/27 (*.f64 t t)))) |
(+.f64 1/6 (+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t t)))) |
(+.f64 (/.f64 2/9 t) (+.f64 1/6 (/.f64 -1/27 (*.f64 t t)))) |
(+.f64 (/.f64 2/9 t) (-.f64 1/6 (/.f64 1/27 (*.f64 t t)))) |
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 4/81 (/.f64 1 (pow.f64 t 3))))) |
(+.f64 1/6 (-.f64 (/.f64 2/9 t) (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3))))) |
(-.f64 (+.f64 1/6 (/.f64 2/9 t)) (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3)))) |
(+.f64 1/6 (+.f64 (/.f64 2/9 t) (+.f64 (/.f64 -1/27 (*.f64 t t)) (/.f64 -4/81 (pow.f64 t 3))))) |
(+.f64 1/6 (+.f64 (+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t t))) (/.f64 -4/81 (pow.f64 t 3)))) |
(+.f64 1/6 (+.f64 (/.f64 2/9 t) (*.f64 (/.f64 (/.f64 1 t) t) (-.f64 (/.f64 -4/81 t) 1/27)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 1 (*.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 (*.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 6 (/.f64 -8 t))) |
Compiled 82 to 62 computations (24.4% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | 0 | (/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 6 (/.f64 -8 t))) |
| 0.0ms | t | @ | inf | (/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 6 (/.f64 -8 t))) |
| 0.0ms | t | @ | -inf | (/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 6 (/.f64 -8 t))) |
| 1× | batch-egg-rewrite |
| 765× | log-prod_binary64 |
| 369× | fma-def_binary64 |
| 319× | log-div_binary64 |
| 276× | expm1-udef_binary64 |
| 276× | log1p-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 25 |
| 1 | 327 | 25 |
| 2 | 4731 | 25 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 6 (/.f64 -8 t))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t))))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (/.f64 1 (+.f64 6 (/.f64 -8 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t)))) 2) (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) 2)) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2))) (/.f64 1 (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) (sqrt.f64 (+.f64 6 (/.f64 -8 t)))) (/.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) (sqrt.f64 (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) (*.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) (/.f64 1 (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) -1) (/.f64 1 (+.f64 (neg.f64 (/.f64 -8 t)) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 6 (/.f64 -8 t))) (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) 2)) 1) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2))) (+.f64 6 (/.f64 -8 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)))) (+.f64 6 (/.f64 -8 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 6 (/.f64 -8 t))) 2)) (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (cbrt.f64 (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) 2)) (pow.f64 (cbrt.f64 (+.f64 6 (/.f64 -8 t))) 2)) (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) (pow.f64 (cbrt.f64 (+.f64 6 (/.f64 -8 t))) 2)) (/.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) (cbrt.f64 (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 6 (/.f64 -8 t)))) (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (sqrt.f64 (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) 2)) (sqrt.f64 (+.f64 6 (/.f64 -8 t)))) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2))) (sqrt.f64 (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 216 (pow.f64 (/.f64 -8 t) 3))) (fma.f64 (/.f64 -8 t) (-.f64 (/.f64 -8 t) 6) 36))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (-.f64 36 (/.f64 64 (*.f64 t t)))) (-.f64 6 (/.f64 -8 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) (sqrt.f64 (+.f64 6 (/.f64 -8 t)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 6 (/.f64 -8 t)) (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 (neg.f64 (/.f64 -8 t)) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) 3) (pow.f64 (+.f64 6 (/.f64 -8 t)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (log.f64 (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (log.f64 (+.f64 6 (/.f64 -8 t)))) 1)))))) |
| 1× | egg-herbie |
| 805× | unswap-sqr_binary64 |
| 750× | distribute-neg-frac_binary64 |
| 534× | associate-/r*_binary64 |
| 363× | fma-def_binary64 |
| 334× | times-frac_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 156 |
| 1 | 95 | 156 |
| 2 | 234 | 153 |
| 3 | 654 | 145 |
| 4 | 2186 | 145 |
| 5 | 6013 | 145 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/8 t) |
(+.f64 (*.f64 -3/32 (pow.f64 t 2)) (*.f64 -1/8 t)) |
(+.f64 (*.f64 -3/32 (pow.f64 t 2)) (+.f64 (*.f64 -73/128 (pow.f64 t 3)) (*.f64 -1/8 t))) |
(+.f64 (*.f64 293/512 (pow.f64 t 4)) (+.f64 (*.f64 -3/32 (pow.f64 t 2)) (+.f64 (*.f64 -73/128 (pow.f64 t 3)) (*.f64 -1/8 t)))) |
5/6 |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 5/6 (*.f64 46/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 5/6 (*.f64 46/27 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 32/81 (/.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 46/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 5/6 (*.f64 46/27 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 32/81 (/.f64 1 (pow.f64 t 3))) (*.f64 2/9 (/.f64 1 t)))) |
| Outputs |
|---|
(*.f64 -1/8 t) |
(+.f64 (*.f64 -3/32 (pow.f64 t 2)) (*.f64 -1/8 t)) |
(fma.f64 -3/32 (*.f64 t t) (*.f64 -1/8 t)) |
(fma.f64 -1/8 t (*.f64 -3/32 (*.f64 t t))) |
(*.f64 t (+.f64 -1/8 (*.f64 t -3/32))) |
(*.f64 t (fma.f64 t -3/32 -1/8)) |
(+.f64 (*.f64 -3/32 (pow.f64 t 2)) (+.f64 (*.f64 -73/128 (pow.f64 t 3)) (*.f64 -1/8 t))) |
(fma.f64 -3/32 (*.f64 t t) (fma.f64 -73/128 (pow.f64 t 3) (*.f64 -1/8 t))) |
(fma.f64 -3/32 (*.f64 t t) (fma.f64 -1/8 t (*.f64 -73/128 (pow.f64 t 3)))) |
(fma.f64 -73/128 (pow.f64 t 3) (*.f64 t (+.f64 -1/8 (*.f64 t -3/32)))) |
(*.f64 t (+.f64 -1/8 (*.f64 t (fma.f64 t -73/128 -3/32)))) |
(+.f64 (*.f64 293/512 (pow.f64 t 4)) (+.f64 (*.f64 -3/32 (pow.f64 t 2)) (+.f64 (*.f64 -73/128 (pow.f64 t 3)) (*.f64 -1/8 t)))) |
(fma.f64 293/512 (pow.f64 t 4) (fma.f64 -3/32 (*.f64 t t) (fma.f64 -73/128 (pow.f64 t 3) (*.f64 -1/8 t)))) |
(fma.f64 293/512 (pow.f64 t 4) (fma.f64 -3/32 (*.f64 t t) (fma.f64 -1/8 t (*.f64 -73/128 (pow.f64 t 3))))) |
(fma.f64 293/512 (pow.f64 t 4) (fma.f64 -73/128 (pow.f64 t 3) (*.f64 t (+.f64 -1/8 (*.f64 t -3/32))))) |
(fma.f64 293/512 (pow.f64 t 4) (*.f64 t (+.f64 -1/8 (*.f64 t (fma.f64 t -73/128 -3/32))))) |
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 46/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t))) |
(+.f64 5/6 (-.f64 (/.f64 46/27 (*.f64 t t)) (/.f64 2/9 t))) |
(+.f64 5/6 (+.f64 (/.f64 46/27 (*.f64 t t)) (/.f64 -2/9 t))) |
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 46/27 (*.f64 t t))) |
(-.f64 (+.f64 5/6 (*.f64 46/27 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 32/81 (/.f64 1 (pow.f64 t 3))) (*.f64 2/9 (/.f64 1 t)))) |
(+.f64 5/6 (-.f64 (/.f64 46/27 (*.f64 t t)) (+.f64 (/.f64 2/9 t) (/.f64 32/81 (pow.f64 t 3))))) |
(+.f64 5/6 (+.f64 (/.f64 46/27 (*.f64 t t)) (+.f64 (/.f64 -2/9 t) (/.f64 -32/81 (pow.f64 t 3))))) |
(+.f64 5/6 (+.f64 (/.f64 46/27 (*.f64 t t)) (-.f64 (/.f64 -2/9 t) (/.f64 32/81 (pow.f64 t 3))))) |
(-.f64 (/.f64 -32/81 (pow.f64 t 3)) (+.f64 (-.f64 -5/6 (/.f64 -2/9 t)) (/.f64 -46/27 (*.f64 t 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 5/6 (*.f64 46/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t))) |
(+.f64 5/6 (-.f64 (/.f64 46/27 (*.f64 t t)) (/.f64 2/9 t))) |
(+.f64 5/6 (+.f64 (/.f64 46/27 (*.f64 t t)) (/.f64 -2/9 t))) |
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 46/27 (*.f64 t t))) |
(-.f64 (+.f64 5/6 (*.f64 46/27 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 32/81 (/.f64 1 (pow.f64 t 3))) (*.f64 2/9 (/.f64 1 t)))) |
(+.f64 5/6 (-.f64 (/.f64 46/27 (*.f64 t t)) (+.f64 (/.f64 2/9 t) (/.f64 32/81 (pow.f64 t 3))))) |
(+.f64 5/6 (+.f64 (/.f64 46/27 (*.f64 t t)) (+.f64 (/.f64 -2/9 t) (/.f64 -32/81 (pow.f64 t 3))))) |
(+.f64 5/6 (+.f64 (/.f64 46/27 (*.f64 t t)) (-.f64 (/.f64 -2/9 t) (/.f64 32/81 (pow.f64 t 3))))) |
(-.f64 (/.f64 -32/81 (pow.f64 t 3)) (+.f64 (-.f64 -5/6 (/.f64 -2/9 t)) (/.f64 -46/27 (*.f64 t t)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 (*.f64 2 t) (+.f64 1 t)) | |
| 0.0b | (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))) | |
| ✓ | 0.2b | (/.f64 12 (*.f64 t t)) |
| ✓ | 0.2b | (/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))) |
Compiled 108 to 76 computations (29.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | 0 | (/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))) |
| 1.0ms | t | @ | 0 | (/.f64 12 (*.f64 t t)) |
| 0.0ms | t | @ | inf | (/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))) |
| 0.0ms | t | @ | inf | (/.f64 12 (*.f64 t t)) |
| 0.0ms | t | @ | -inf | (/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))) |
| 1× | batch-egg-rewrite |
| 669× | fma-def_binary64 |
| 379× | fma-neg_binary64 |
| 362× | expm1-udef_binary64 |
| 362× | log1p-udef_binary64 |
| 216× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 41 |
| 1 | 428 | 39 |
| 2 | 6410 | 39 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))) |
(/.f64 12 (*.f64 t t)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (/.f64 1 (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6)))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6)))) 2) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2)) 2) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2)) (/.f64 1 (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) (sqrt.f64 (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6)))) (/.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) (sqrt.f64 (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) (*.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) (/.f64 1 (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2)) (/.f64 1 (neg.f64 (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6))) (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2)) 2) 1) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2)) (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6))))))) (#(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)))) (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6))) 2)) (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (cbrt.f64 (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2)) 2) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6))) 2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6))) 2)) (/.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) (cbrt.f64 (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6)))) (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (sqrt.f64 (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2)) 2) (sqrt.f64 (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6)))) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2)) (sqrt.f64 (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (fma.f64 1728 (pow.f64 (pow.f64 t -2) 3) (pow.f64 (+.f64 6 (/.f64 -8 t)) 3))) (fma.f64 (+.f64 6 (/.f64 -8 t)) (-.f64 (+.f64 6 (/.f64 -8 t)) (/.f64 (/.f64 12 t) t)) (/.f64 144 (pow.f64 t 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (-.f64 (/.f64 144 (pow.f64 t 4)) (pow.f64 (+.f64 6 (/.f64 -8 t)) 2))) (-.f64 (fma.f64 12 (pow.f64 t -2) -6) (/.f64 -8 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) (sqrt.f64 (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6)) (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (neg.f64 (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) 3) (pow.f64 (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (log.f64 (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (log.f64 (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 12 t) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 12 t) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 12 (pow.f64 t -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 12 t) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 12 t) t)) (cbrt.f64 (/.f64 144 (pow.f64 t 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 144 (pow.f64 t 4))) (cbrt.f64 (/.f64 (/.f64 12 t) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 12) t) (/.f64 (sqrt.f64 12) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -12 (/.f64 1 (*.f64 t (neg.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 t -2) 12)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 12 t) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 12 t) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 12 t) t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 12) t) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1728 (pow.f64 (pow.f64 t -2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (/.f64 12 t)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 144 (pow.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 12 t) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 12 t) t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1728 (pow.f64 (pow.f64 t -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 12 t) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 12 t) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 12 t) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 12 t) t)) 1)))))) |
| 1× | egg-herbie |
| 786× | distribute-neg-frac_binary64 |
| 588× | associate-/r*_binary64 |
| 378× | fma-def_binary64 |
| 334× | times-frac_binary64 |
| 257× | distribute-rgt-neg-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 252 |
| 1 | 101 | 252 |
| 2 | 247 | 249 |
| 3 | 708 | 243 |
| 4 | 2261 | 243 |
| 5 | 6139 | 243 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/12 (pow.f64 t 2)) |
(+.f64 (*.f64 1/18 (pow.f64 t 3)) (*.f64 1/12 (pow.f64 t 2))) |
(+.f64 (*.f64 1/18 (pow.f64 t 3)) (+.f64 (*.f64 1/12 (pow.f64 t 2)) (*.f64 71/216 (pow.f64 t 4)))) |
(+.f64 (*.f64 -77/162 (pow.f64 t 5)) (+.f64 (*.f64 1/18 (pow.f64 t 3)) (+.f64 (*.f64 1/12 (pow.f64 t 2)) (*.f64 71/216 (pow.f64 t 4))))) |
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 (*.f64 2/9 (/.f64 1 t)) (*.f64 176/81 (/.f64 1 (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))) 5/6) (+.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 176/81 (/.f64 1 (pow.f64 t 3))))) |
(/.f64 12 (pow.f64 t 2)) |
(/.f64 12 (pow.f64 t 2)) |
(/.f64 12 (pow.f64 t 2)) |
(/.f64 12 (pow.f64 t 2)) |
(/.f64 12 (pow.f64 t 2)) |
(/.f64 12 (pow.f64 t 2)) |
(/.f64 12 (pow.f64 t 2)) |
(/.f64 12 (pow.f64 t 2)) |
(/.f64 12 (pow.f64 t 2)) |
(/.f64 12 (pow.f64 t 2)) |
(/.f64 12 (pow.f64 t 2)) |
(/.f64 12 (pow.f64 t 2)) |
| Outputs |
|---|
(*.f64 1/12 (pow.f64 t 2)) |
(*.f64 1/12 (*.f64 t t)) |
(+.f64 (*.f64 1/18 (pow.f64 t 3)) (*.f64 1/12 (pow.f64 t 2))) |
(fma.f64 1/18 (pow.f64 t 3) (*.f64 1/12 (*.f64 t t))) |
(fma.f64 1/12 (*.f64 t t) (*.f64 1/18 (pow.f64 t 3))) |
(*.f64 (*.f64 t t) (+.f64 1/12 (*.f64 t 1/18))) |
(*.f64 t (*.f64 t (fma.f64 t 1/18 1/12))) |
(+.f64 (*.f64 1/18 (pow.f64 t 3)) (+.f64 (*.f64 1/12 (pow.f64 t 2)) (*.f64 71/216 (pow.f64 t 4)))) |
(fma.f64 1/18 (pow.f64 t 3) (fma.f64 1/12 (*.f64 t t) (*.f64 71/216 (pow.f64 t 4)))) |
(fma.f64 71/216 (pow.f64 t 4) (*.f64 (*.f64 t t) (+.f64 1/12 (*.f64 t 1/18)))) |
(fma.f64 t (*.f64 t (fma.f64 t 1/18 1/12)) (*.f64 71/216 (pow.f64 t 4))) |
(+.f64 (*.f64 -77/162 (pow.f64 t 5)) (+.f64 (*.f64 1/18 (pow.f64 t 3)) (+.f64 (*.f64 1/12 (pow.f64 t 2)) (*.f64 71/216 (pow.f64 t 4))))) |
(fma.f64 -77/162 (pow.f64 t 5) (fma.f64 1/18 (pow.f64 t 3) (fma.f64 1/12 (*.f64 t t) (*.f64 71/216 (pow.f64 t 4))))) |
(fma.f64 -77/162 (pow.f64 t 5) (fma.f64 71/216 (pow.f64 t 4) (*.f64 (*.f64 t t) (+.f64 1/12 (*.f64 t 1/18))))) |
(fma.f64 71/216 (pow.f64 t 4) (fma.f64 t (*.f64 t (fma.f64 t 1/18 1/12)) (*.f64 -77/162 (pow.f64 t 5)))) |
(fma.f64 t (*.f64 t (fma.f64 t 1/18 1/12)) (fma.f64 71/216 (pow.f64 t 4) (*.f64 -77/162 (pow.f64 t 5)))) |
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 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (*.f64 t t))) |
(+.f64 5/6 (-.f64 (/.f64 -2/9 t) (/.f64 -1/27 (*.f64 t t)))) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (+.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 176/81 (/.f64 1 (pow.f64 t 3))))) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (+.f64 (/.f64 2/9 t) (/.f64 176/81 (pow.f64 t 3))))) |
(-.f64 (+.f64 5/6 (/.f64 1/27 (*.f64 t t))) (+.f64 (/.f64 2/9 t) (/.f64 176/81 (pow.f64 t 3)))) |
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 -2/9 t) (/.f64 -176/81 (pow.f64 t 3))))) |
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -176/81 (pow.f64 t 3)))) |
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (*.f64 (/.f64 1 (*.f64 t t)) (-.f64 1/27 (/.f64 176/81 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 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (*.f64 t t))) |
(+.f64 5/6 (-.f64 (/.f64 -2/9 t) (/.f64 -1/27 (*.f64 t t)))) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (+.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 176/81 (/.f64 1 (pow.f64 t 3))))) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (+.f64 (/.f64 2/9 t) (/.f64 176/81 (pow.f64 t 3))))) |
(-.f64 (+.f64 5/6 (/.f64 1/27 (*.f64 t t))) (+.f64 (/.f64 2/9 t) (/.f64 176/81 (pow.f64 t 3)))) |
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 -2/9 t) (/.f64 -176/81 (pow.f64 t 3))))) |
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -176/81 (pow.f64 t 3)))) |
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (*.f64 (/.f64 1 (*.f64 t t)) (-.f64 1/27 (/.f64 176/81 t)))) |
(/.f64 12 (pow.f64 t 2)) |
(/.f64 12 (*.f64 t t)) |
(/.f64 12 (pow.f64 t 2)) |
(/.f64 12 (*.f64 t t)) |
(/.f64 12 (pow.f64 t 2)) |
(/.f64 12 (*.f64 t t)) |
(/.f64 12 (pow.f64 t 2)) |
(/.f64 12 (*.f64 t t)) |
(/.f64 12 (pow.f64 t 2)) |
(/.f64 12 (*.f64 t t)) |
(/.f64 12 (pow.f64 t 2)) |
(/.f64 12 (*.f64 t t)) |
(/.f64 12 (pow.f64 t 2)) |
(/.f64 12 (*.f64 t t)) |
(/.f64 12 (pow.f64 t 2)) |
(/.f64 12 (*.f64 t t)) |
(/.f64 12 (pow.f64 t 2)) |
(/.f64 12 (*.f64 t t)) |
(/.f64 12 (pow.f64 t 2)) |
(/.f64 12 (*.f64 t t)) |
(/.f64 12 (pow.f64 t 2)) |
(/.f64 12 (*.f64 t t)) |
(/.f64 12 (pow.f64 t 2)) |
(/.f64 12 (*.f64 t t)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 (*.f64 2 t) (+.f64 1 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)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | 0 | (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (+.f64 2 (/.f64 -2 t))) |
| 1.0ms | t | @ | inf | (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (+.f64 2 (/.f64 -2 t))) |
| 1.0ms | t | @ | -inf | (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (+.f64 2 (/.f64 -2 t))) |
| 1.0ms | t | @ | 0 | (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (+.f64 2 (/.f64 -2 t)))) |
| 1.0ms | t | @ | inf | (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (+.f64 2 (/.f64 -2 t)))) |
| 1× | batch-egg-rewrite |
| 711× | log-prod_binary64 |
| 528× | prod-diff_binary64 |
| 389× | fma-def_binary64 |
| 305× | log-div_binary64 |
| 248× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 41 |
| 1 | 284 | 39 |
| 2 | 4323 | 39 |
| 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)))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 838× | fma-neg_binary64 |
| 544× | associate-*l*_binary64 |
| 507× | cancel-sign-sub-inv_binary64 |
| 476× | fma-def_binary64 |
| 426× | times-frac_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 278 |
| 1 | 114 | 270 |
| 2 | 295 | 268 |
| 3 | 842 | 258 |
| 4 | 2529 | 248 |
| 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)))) |
| 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 8 t (fma.f64 t (*.f64 t (fma.f64 8 t -8)) -4)) |
(fma.f64 t (+.f64 8 (*.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 (/.f64 8 (*.f64 t t)) (+.f64 4 (/.f64 -8 t))) |
(+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 8 (*.f64 t t))) |
(+.f64 4 (+.f64 (/.f64 8 (*.f64 t t)) (/.f64 -8 t))) |
(+.f64 4 (*.f64 (/.f64 1 t) (-.f64 (/.f64 8 t) 8))) |
(-.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 (/.f64 8 (*.f64 t t)) (+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 -8 (pow.f64 t 3)))) |
(+.f64 (+.f64 4 (+.f64 (/.f64 8 (*.f64 t t)) (/.f64 -8 t))) (/.f64 -8 (pow.f64 t 3))) |
(fma.f64 (/.f64 1 (*.f64 t t)) (-.f64 8 (/.f64 8 t)) (+.f64 4 (/.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 8 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 4 (/.f64 8 (*.f64 t t))) (/.f64 8 t)) |
(+.f64 (/.f64 8 (*.f64 t t)) (+.f64 4 (/.f64 -8 t))) |
(+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 8 (*.f64 t t))) |
(+.f64 4 (+.f64 (/.f64 8 (*.f64 t t)) (/.f64 -8 t))) |
(+.f64 4 (*.f64 (/.f64 1 t) (-.f64 (/.f64 8 t) 8))) |
(-.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 (/.f64 8 (*.f64 t t)) (+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 -8 (pow.f64 t 3)))) |
(+.f64 (+.f64 4 (+.f64 (/.f64 8 (*.f64 t t)) (/.f64 -8 t))) (/.f64 -8 (pow.f64 t 3))) |
(fma.f64 (/.f64 1 (*.f64 t t)) (-.f64 8 (/.f64 8 t)) (+.f64 4 (/.f64 -8 t))) |
-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 t (*.f64 t -8) (fma.f64 8 t -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 t (*.f64 t (fma.f64 8 t -8)) (fma.f64 8 t -2)) |
(fma.f64 t (+.f64 8 (*.f64 t (fma.f64 8 t -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 (+.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 6 (-.f64 (/.f64 8 (*.f64 t t)) (+.f64 (/.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 (/.f64 8 (*.f64 t t)) (+.f64 6 (/.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 6 (fma.f64 (/.f64 1 (*.f64 t t)) (-.f64 8 (/.f64 8 t)) (/.f64 -8 t))) |
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 (+.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 6 (-.f64 (/.f64 8 (*.f64 t t)) (+.f64 (/.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 (/.f64 8 (*.f64 t t)) (+.f64 6 (/.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 6 (fma.f64 (/.f64 1 (*.f64 t t)) (-.f64 8 (/.f64 8 t)) (/.f64 -8 t))) |
Compiled 49648 to 37796 computations (23.9% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1603 | 7 | 1610 |
| Fresh | 4 | 0 | 4 |
| Picked | 1 | 0 | 1 |
| Done | 4 | 1 | 5 |
| Total | 1612 | 8 | 1620 |
| Status | Error | Program |
|---|---|---|
| 24.4b | 1/2 | |
| ▶ | 33.6b | (+.f64 5/6 (/.f64 -2/9 t)) |
| ▶ | 33.6b | (+.f64 5/6 (-.f64 (/.f64 -2/9 t) (/.f64 -1/27 (*.f64 t t)))) |
| ▶ | 12.8b | (/.f64 (+.f64 1 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))) |
| ✓ | 12.4b | (/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))) |
| ▶ | 31.2b | (/.f64 (+.f64 1 (+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t)))) (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))) |
| ▶ | 29.2b | (/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))) |
| 28.3b | 5/6 |
Compiled 238 to 176 computations (26.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))) |
| ✓ | 0.0b | (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1)) |
| 0.0b | (*.f64 4 (*.f64 t t)) | |
| 11.8b | (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) |
Compiled 99 to 63 computations (36.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | t | @ | inf | (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1)) |
| 0.0ms | t | @ | 0 | (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1)) |
| 0.0ms | t | @ | -inf | (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1)) |
| 0.0ms | t | @ | inf | (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))) |
| 0.0ms | t | @ | -inf | (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))) |
| 1× | batch-egg-rewrite |
| 615× | log-prod_binary64 |
| 302× | pow2_binary64 |
| 250× | fma-def_binary64 |
| 238× | prod-diff_binary64 |
| 228× | log-div_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 41 |
| 1 | 247 | 29 |
| 2 | 3513 | 29 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 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 0 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2))) 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 1 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (/.f64 (*.f64 t t) (+.f64 t 1))) (/.f64 1 (+.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 4 (/.f64 (*.f64 t t) (+.f64 t 1)))) 2) (*.f64 (cbrt.f64 (*.f64 4 (/.f64 (*.f64 t t) (+.f64 t 1)))) (/.f64 1 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 t 2) (+.f64 t 1))) 2) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 t 2) (+.f64 t 1))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 t 2) (+.f64 t 1))) 2) 2) (pow.f64 (cbrt.f64 (/.f64 (*.f64 t 2) (+.f64 t 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 t 2) (sqrt.f64 (+.f64 t 1))) (*.f64 (/.f64 (*.f64 t 2) (sqrt.f64 (+.f64 t 1))) (/.f64 1 (+.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 (/.f64 (*.f64 (*.f64 t t) -4) (+.f64 t 1)) (/.f64 1 (+.f64 -1 (neg.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 t 1)) (*.f64 4 (/.f64 (*.f64 t t) (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 t t) (+.f64 t 1)) (/.f64 4 (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (+.f64 t 1)) (/.f64 (*.f64 t t) (+.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 (*.f64 t t) (+.f64 t 1))) (cbrt.f64 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 t 1))) (/.f64 (*.f64 4 (/.f64 (*.f64 t t) (+.f64 t 1))) (sqrt.f64 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 4 (*.f64 t t)) (sqrt.f64 (+.f64 t 1))) (pow.f64 (+.f64 t 1) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 16 (pow.f64 t 4))) (+.f64 t 1)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 t 2)) 2) (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 4 t) (+.f64 t 1)) (/.f64 t (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 4 (*.f64 t t)) 1) (pow.f64 (+.f64 t 1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (*.f64 t t) (+.f64 t 1)))) 2) 1) (/.f64 (cbrt.f64 (*.f64 4 (/.f64 (*.f64 t t) (+.f64 t 1)))) (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 t 2) (sqrt.f64 (+.f64 t 1))) 1) (/.f64 (/.f64 (*.f64 t 2) (sqrt.f64 (+.f64 t 1))) (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 4 (*.f64 t t)) (pow.f64 (cbrt.f64 (+.f64 t 1)) 2)) (/.f64 (/.f64 1 (+.f64 t 1)) (cbrt.f64 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (*.f64 t t) (+.f64 t 1)))) 2) (pow.f64 (cbrt.f64 (+.f64 t 1)) 2)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 t 2) (+.f64 t 1))) 2))))) 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(sqrt.f64 (+.f64 t 1))) (/.f64 (cbrt.f64 (*.f64 4 (/.f64 (*.f64 t t) (+.f64 t 1)))) (sqrt.f64 (+.f64 t 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 4 (/.f64 (*.f64 t t) (+.f64 t 1))) (+.f64 1 (pow.f64 t 3))) (fma.f64 t t (-.f64 1 t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 4 (/.f64 (*.f64 t t) (+.f64 t 1))) (fma.f64 t t -1)) (-.f64 t 1) 2))))) |
| 1× | egg-herbie |
| 756× | distribute-neg-frac_binary64 |
| 558× | fma-def_binary64 |
| 548× | associate-/r*_binary64 |
| 334× | times-frac_binary64 |
| 261× | fma-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 318 |
| 1 | 130 | 316 |
| 2 | 322 | 310 |
| 3 | 918 | 297 |
| 4 | 2658 | 297 |
| 5 | 6666 | 297 |
| 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))))) |
2 |
(+.f64 2 (*.f64 4 (pow.f64 t 2))) |
(+.f64 2 (+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))) |
(+.f64 2 (+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4))))) |
6 |
(-.f64 6 (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3))))) |
6 |
(-.f64 6 (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3))))) |
| Outputs |
|---|
(*.f64 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 (*.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 4 (*.f64 t t) (*.f64 12 (pow.f64 t 4)))) |
(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 (*.f64 t -8) 4))) |
(fma.f64 t (*.f64 t (fma.f64 t -8 4)) (*.f64 12 (pow.f64 t 4))) |
(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 4 (*.f64 t t) (*.f64 12 (pow.f64 t 4))))) |
(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 (*.f64 t -8) 4)))) |
(fma.f64 t (*.f64 t (fma.f64 t -8 4)) (fma.f64 -16 (pow.f64 t 5) (*.f64 12 (pow.f64 t 4)))) |
(fma.f64 12 (pow.f64 t 4) (fma.f64 (*.f64 t t) (fma.f64 t -8 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 (+.f64 4 (/.f64 12 (*.f64 t t))) (/.f64 8 t)) |
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 4 (/.f64 -8 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 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) (/.f64 16 (pow.f64 t 3))) 4)) |
(-.f64 (+.f64 4 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t))) (/.f64 16 (pow.f64 t 3))) |
(+.f64 (-.f64 4 (/.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 (+.f64 4 (/.f64 12 (*.f64 t t))) (/.f64 8 t)) |
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 4 (/.f64 -8 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 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) (/.f64 16 (pow.f64 t 3))) 4)) |
(-.f64 (+.f64 4 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t))) (/.f64 16 (pow.f64 t 3))) |
(+.f64 (-.f64 4 (/.f64 8 t)) (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -16 (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 2 (+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))) |
(+.f64 2 (fma.f64 -8 (pow.f64 t 3) (*.f64 4 (*.f64 t t)))) |
(+.f64 (*.f64 -8 (pow.f64 t 3)) (fma.f64 4 (*.f64 t t) 2)) |
(fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (*.f64 t t) 2)) |
(fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2) |
(+.f64 2 (+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4))))) |
(+.f64 2 (fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (*.f64 t t) (*.f64 12 (pow.f64 t 4))))) |
(+.f64 2 (fma.f64 -8 (pow.f64 t 3) (fma.f64 12 (pow.f64 t 4) (*.f64 4 (*.f64 t t))))) |
(+.f64 2 (fma.f64 12 (pow.f64 t 4) (*.f64 (*.f64 t t) (+.f64 (*.f64 t -8) 4)))) |
(fma.f64 (*.f64 t t) (fma.f64 t -8 4) (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 6 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 (/.f64 12 (*.f64 t t)) 6) (/.f64 8 t)) |
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t))) |
(+.f64 6 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t))) |
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 6 (/.f64 8 t))) |
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3))))) |
(+.f64 6 (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3))))) |
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 6 (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3))))) |
(-.f64 (+.f64 6 (-.f64 (/.f64 12 (*.f64 t t)) (/.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 6 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 (/.f64 12 (*.f64 t t)) 6) (/.f64 8 t)) |
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t))) |
(+.f64 6 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t))) |
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 6 (/.f64 8 t))) |
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3))))) |
(+.f64 6 (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3))))) |
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 6 (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3))))) |
(-.f64 (+.f64 6 (-.f64 (/.f64 12 (*.f64 t t)) (/.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)))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 5/6 (/.f64 -2/9 t)) |
| ✓ | 0.4b | (/.f64 -2/9 t) |
Compiled 12 to 9 computations (25% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | t | @ | 0 | (/.f64 -2/9 t) |
| 0.0ms | t | @ | 0 | (+.f64 5/6 (/.f64 -2/9 t)) |
| 0.0ms | t | @ | inf | (/.f64 -2/9 t) |
| 0.0ms | t | @ | -inf | (/.f64 -2/9 t) |
| 0.0ms | t | @ | inf | (+.f64 5/6 (/.f64 -2/9 t)) |
| 1× | batch-egg-rewrite |
| 708× | pow1_binary64 |
| 673× | add-log-exp_binary64 |
| 673× | log1p-expm1-u_binary64 |
| 673× | expm1-log1p-u_binary64 |
| 663× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 11 |
| 1 | 139 | 11 |
| 2 | 1759 | 11 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -2/9 t) |
(+.f64 5/6 (/.f64 -2/9 t)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -2/9 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2/9 (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2/9 t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -2/9 t)) (pow.f64 (cbrt.f64 (/.f64 -2/9 t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -2/9 t)) 2) (cbrt.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -2/9 t)) (sqrt.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/9 (/.f64 1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) -2/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -2/9 t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -2/9 t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -2/9 t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -2/9 t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t -9/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -2/9 t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -2/9 t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -2/9 t))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 25/36 (-.f64 5/6 (/.f64 -2/9 t))) (/.f64 (pow.f64 (/.f64 -2/9 t) 2) (-.f64 5/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -2/9 t) 5/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 -2/9 t) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 2) (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 125/216 (pow.f64 (/.f64 -2/9 t) 3)) (/.f64 1 (+.f64 25/36 (-.f64 (pow.f64 (/.f64 -2/9 t) 2) (/.f64 -5/27 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 25/36 (pow.f64 (/.f64 -2/9 t) 2)) (/.f64 1 (-.f64 5/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 25/36 (-.f64 (pow.f64 (/.f64 -2/9 t) 2) (/.f64 -5/27 t))) (+.f64 125/216 (pow.f64 (/.f64 -2/9 t) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 5/6 (/.f64 -2/9 t)) (-.f64 25/36 (pow.f64 (/.f64 -2/9 t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 125/216 (pow.f64 (/.f64 -2/9 t) 3)) (+.f64 25/36 (-.f64 (pow.f64 (/.f64 -2/9 t) 2) (/.f64 -5/27 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 125/216 (pow.f64 (/.f64 -2/9 t) 3)) (+.f64 (pow.f64 (/.f64 -2/9 t) 2) (-.f64 25/36 (/.f64 -5/27 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 25/36 (pow.f64 (/.f64 -2/9 t) 2)) (-.f64 5/6 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 125/216 (pow.f64 (/.f64 -2/9 t) 3))) (neg.f64 (+.f64 25/36 (-.f64 (pow.f64 (/.f64 -2/9 t) 2) (/.f64 -5/27 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 25/36 (pow.f64 (/.f64 -2/9 t) 2))) (neg.f64 (-.f64 5/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 -2/9 t) 2) 25/36) (-.f64 (/.f64 -2/9 t) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2/9 (/.f64 1 t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -2/9 t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -2/9 t)) 2) (cbrt.f64 (/.f64 -2/9 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -2/9 t)) (sqrt.f64 (/.f64 -2/9 t)) 5/6))))) |
| 1× | egg-herbie |
| 16× | fma-def_binary64 |
| 11× | sub-neg_binary64 |
| 6× | +-commutative_binary64 |
| 4× | *-commutative_binary64 |
| 4× | associate-+l-_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 69 |
| 1 | 20 | 69 |
| 2 | 31 | 69 |
| 3 | 47 | 69 |
| 4 | 62 | 69 |
| 5 | 80 | 69 |
| 6 | 98 | 69 |
| 7 | 113 | 69 |
| 8 | 120 | 69 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 -2/9 t) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
5/6 |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
5/6 |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
| Outputs |
|---|
(/.f64 -2/9 t) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (/.f64 2/9 t)) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (/.f64 2/9 t)) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (/.f64 2/9 t)) |
(+.f64 5/6 (/.f64 -2/9 t)) |
5/6 |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (/.f64 2/9 t)) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (/.f64 2/9 t)) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (/.f64 2/9 t)) |
(+.f64 5/6 (/.f64 -2/9 t)) |
5/6 |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (/.f64 2/9 t)) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (/.f64 2/9 t)) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 5/6 (/.f64 2/9 t)) |
(+.f64 5/6 (/.f64 -2/9 t)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (/.f64 -2/9 t) (/.f64 -1/27 (*.f64 t t))) |
| ✓ | 0.0b | (+.f64 5/6 (-.f64 (/.f64 -2/9 t) (/.f64 -1/27 (*.f64 t t)))) |
| ✓ | 0.3b | (/.f64 -1/27 (*.f64 t t)) |
| 0.4b | (/.f64 -2/9 t) |
Compiled 36 to 21 computations (41.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | 0 | (/.f64 -1/27 (*.f64 t t)) |
| 0.0ms | t | @ | 0 | (-.f64 (/.f64 -2/9 t) (/.f64 -1/27 (*.f64 t t))) |
| 0.0ms | t | @ | inf | (/.f64 -1/27 (*.f64 t t)) |
| 0.0ms | t | @ | 0 | (+.f64 5/6 (-.f64 (/.f64 -2/9 t) (/.f64 -1/27 (*.f64 t t)))) |
| 0.0ms | t | @ | inf | (+.f64 5/6 (-.f64 (/.f64 -2/9 t) (/.f64 -1/27 (*.f64 t t)))) |
| 1× | batch-egg-rewrite |
| 823× | prod-diff_binary64 |
| 512× | log-prod_binary64 |
| 385× | fma-def_binary64 |
| 248× | log-div_binary64 |
| 219× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 36 |
| 1 | 247 | 30 |
| 2 | 3602 | 30 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1/27 (*.f64 t t)) |
(+.f64 5/6 (-.f64 (/.f64 -2/9 t) (/.f64 -1/27 (*.f64 t t)))) |
(-.f64 (/.f64 -2/9 t) (/.f64 -1/27 (*.f64 t t))) |
| Outputs |
|---|
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#<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 -2/9 t)) (/.f64 (sqrt.f64 -1/27) t)) (-.f64 (sqrt.f64 (/.f64 -2/9 t)) (/.f64 (sqrt.f64 -1/27) t)) (+.f64 (*.f64 1/27 (pow.f64 t -2)) (*.f64 -1/27 (pow.f64 t -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/729 (pow.f64 t 4)))) (cbrt.f64 (*.f64 -1/27 (pow.f64 t -2))) (/.f64 -2/9 t)))))) |
| 1× | egg-herbie |
| 608× | distribute-neg-frac_binary64 |
| 539× | div-sub_binary64 |
| 482× | associate-/r*_binary64 |
| 461× | fma-neg_binary64 |
| 434× | unswap-sqr_binary64 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 348 |
| 1 | 49 | 348 |
| 2 | 83 | 348 |
| 3 | 150 | 348 |
| 4 | 313 | 348 |
| 5 | 896 | 348 |
| 6 | 3839 | 336 |
| 7 | 7218 | 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 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1)) | |
| 0.0b | (*.f64 4 (*.f64 t t)) | |
| ✓ | 0.1b | (/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))) |
| 11.8b | (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) |
Compiled 83 to 51 computations (38.6% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | inf | (/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))) |
| 0.0ms | t | @ | 0 | (/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))) |
| 0.0ms | t | @ | -inf | (/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))) |
| 1× | batch-egg-rewrite |
| 616× | prod-diff_binary64 |
| 419× | fma-def_binary64 |
| 319× | log-div_binary64 |
| 273× | fma-neg_binary64 |
| 254× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 34 |
| 1 | 301 | 26 |
| 2 | 4522 | 26 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.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 (*.f64 t t) 1) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 4 (*.f64 t t) 1) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 4 (*.f64 t t) 1) (/.f64 1 (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)))) 2) (cbrt.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 4 (*.f64 t t) 1) 2)) (*.f64 (cbrt.f64 (fma.f64 4 (*.f64 t t) 1)) (/.f64 1 (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 t 2)) (sqrt.f64 (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)))) (/.f64 (hypot.f64 1 (*.f64 t 2)) (sqrt.f64 (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (*.f64 t 2)) (*.f64 (hypot.f64 1 (*.f64 t 2)) (/.f64 1 (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 t t) -4 -1) (/.f64 1 (+.f64 (neg.f64 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2))) (fma.f64 4 (*.f64 t t) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 4 (*.f64 t t) 1) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 4 (*.f64 t t) 1)) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 t 2)) 1) (/.f64 (hypot.f64 1 (*.f64 t 2)) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)) 2))) (/.f64 (fma.f64 4 (*.f64 t t) 1) (cbrt.f64 (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 4 (*.f64 t t) 1) 2)) (cbrt.f64 (pow.f64 (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)) 2))) (cbrt.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 t 2)) (cbrt.f64 (pow.f64 (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)) 2))) (/.f64 (hypot.f64 1 (*.f64 t 2)) (cbrt.f64 (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)))) (/.f64 (fma.f64 4 (*.f64 t t) 1) (sqrt.f64 (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 4 (*.f64 t t) 1) 2)) (sqrt.f64 (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)))) (/.f64 (cbrt.f64 (fma.f64 4 (*.f64 t t) 1)) (sqrt.f64 (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (+.f64 8 (pow.f64 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2) 3))) (fma.f64 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2) (-.f64 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (-.f64 4 (pow.f64 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2) 2))) (-.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 1 (*.f64 t 2)) (sqrt.f64 (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)) (fma.f64 4 (*.f64 t t) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (+.f64 (neg.f64 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 4 (*.f64 t t) 1) 3) (pow.f64 (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)))) 1)))))) |
| 1× | egg-herbie |
| 881× | fma-def_binary64 |
| 803× | unswap-sqr_binary64 |
| 520× | associate-/r/_binary64 |
| 331× | associate-/l/_binary64 |
| 328× | *-commutative_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 145 |
| 1 | 81 | 137 |
| 2 | 181 | 133 |
| 3 | 481 | 115 |
| 4 | 1306 | 112 |
| 5 | 2938 | 112 |
| 6 | 4801 | 112 |
| 7 | 5885 | 112 |
| 8 | 6802 | 112 |
| 9 | 7853 | 112 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (pow.f64 t 2)) |
(+.f64 1/2 (+.f64 (*.f64 2 (pow.f64 t 3)) (pow.f64 t 2))) |
(+.f64 1/2 (+.f64 (*.f64 2 (pow.f64 t 3)) (+.f64 (pow.f64 t 2) (*.f64 -5 (pow.f64 t 4))))) |
(*.f64 2/3 (pow.f64 t 2)) |
(+.f64 (*.f64 8/9 t) (*.f64 2/3 (pow.f64 t 2))) |
(+.f64 (*.f64 8/9 t) (+.f64 1/54 (*.f64 2/3 (pow.f64 t 2)))) |
(+.f64 (*.f64 8/9 t) (+.f64 1/54 (+.f64 (*.f64 2/3 (pow.f64 t 2)) (*.f64 2/81 (/.f64 1 t))))) |
(*.f64 2/3 (pow.f64 t 2)) |
(+.f64 (*.f64 8/9 t) (*.f64 2/3 (pow.f64 t 2))) |
(+.f64 (*.f64 8/9 t) (+.f64 1/54 (*.f64 2/3 (pow.f64 t 2)))) |
(+.f64 (*.f64 8/9 t) (+.f64 1/54 (+.f64 (*.f64 2/3 (pow.f64 t 2)) (*.f64 2/81 (/.f64 1 t))))) |
| 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 3)) (pow.f64 t 2))) |
(+.f64 1/2 (fma.f64 2 (pow.f64 t 3) (*.f64 t t))) |
(+.f64 1/2 (fma.f64 t t (*.f64 2 (pow.f64 t 3)))) |
(fma.f64 t t (fma.f64 2 (pow.f64 t 3) 1/2)) |
(+.f64 1/2 (+.f64 (*.f64 2 (pow.f64 t 3)) (+.f64 (pow.f64 t 2) (*.f64 -5 (pow.f64 t 4))))) |
(+.f64 1/2 (+.f64 (fma.f64 2 (pow.f64 t 3) (*.f64 t t)) (*.f64 -5 (pow.f64 t 4)))) |
(+.f64 1/2 (fma.f64 2 (pow.f64 t 3) (fma.f64 t t (*.f64 -5 (pow.f64 t 4))))) |
(+.f64 (fma.f64 t t 1/2) (fma.f64 -5 (pow.f64 t 4) (*.f64 2 (pow.f64 t 3)))) |
(fma.f64 t t (fma.f64 -5 (pow.f64 t 4) (fma.f64 2 (pow.f64 t 3) 1/2))) |
(fma.f64 (pow.f64 t 3) (fma.f64 t -5 2) (fma.f64 t t 1/2)) |
(fma.f64 t t (fma.f64 (pow.f64 t 3) (fma.f64 t -5 2) 1/2)) |
(*.f64 2/3 (pow.f64 t 2)) |
(*.f64 (*.f64 t t) 2/3) |
(*.f64 t (*.f64 t 2/3)) |
(+.f64 (*.f64 8/9 t) (*.f64 2/3 (pow.f64 t 2))) |
(fma.f64 8/9 t (*.f64 (*.f64 t t) 2/3)) |
(fma.f64 t 8/9 (*.f64 (*.f64 t t) 2/3)) |
(*.f64 t (+.f64 (*.f64 t 2/3) 8/9)) |
(*.f64 t (fma.f64 t 2/3 8/9)) |
(+.f64 (*.f64 8/9 t) (+.f64 1/54 (*.f64 2/3 (pow.f64 t 2)))) |
(fma.f64 8/9 t (+.f64 (*.f64 (*.f64 t t) 2/3) 1/54)) |
(fma.f64 t 8/9 (fma.f64 (*.f64 t t) 2/3 1/54)) |
(fma.f64 t (*.f64 t 2/3) (fma.f64 t 8/9 1/54)) |
(fma.f64 t (fma.f64 t 2/3 8/9) 1/54) |
(+.f64 (*.f64 8/9 t) (+.f64 1/54 (+.f64 (*.f64 2/3 (pow.f64 t 2)) (*.f64 2/81 (/.f64 1 t))))) |
(fma.f64 8/9 t (+.f64 1/54 (fma.f64 2/3 (*.f64 t t) (/.f64 2/81 t)))) |
(+.f64 (fma.f64 t 8/9 (fma.f64 (*.f64 t t) 2/3 1/54)) (/.f64 2/81 t)) |
(+.f64 (fma.f64 t (*.f64 t 2/3) (fma.f64 t 8/9 1/54)) (/.f64 2/81 t)) |
(+.f64 1/54 (fma.f64 t (fma.f64 t 2/3 8/9) (/.f64 2/81 t))) |
(*.f64 2/3 (pow.f64 t 2)) |
(*.f64 (*.f64 t t) 2/3) |
(*.f64 t (*.f64 t 2/3)) |
(+.f64 (*.f64 8/9 t) (*.f64 2/3 (pow.f64 t 2))) |
(fma.f64 8/9 t (*.f64 (*.f64 t t) 2/3)) |
(fma.f64 t 8/9 (*.f64 (*.f64 t t) 2/3)) |
(*.f64 t (+.f64 (*.f64 t 2/3) 8/9)) |
(*.f64 t (fma.f64 t 2/3 8/9)) |
(+.f64 (*.f64 8/9 t) (+.f64 1/54 (*.f64 2/3 (pow.f64 t 2)))) |
(fma.f64 8/9 t (+.f64 (*.f64 (*.f64 t t) 2/3) 1/54)) |
(fma.f64 t 8/9 (fma.f64 (*.f64 t t) 2/3 1/54)) |
(fma.f64 t (*.f64 t 2/3) (fma.f64 t 8/9 1/54)) |
(fma.f64 t (fma.f64 t 2/3 8/9) 1/54) |
(+.f64 (*.f64 8/9 t) (+.f64 1/54 (+.f64 (*.f64 2/3 (pow.f64 t 2)) (*.f64 2/81 (/.f64 1 t))))) |
(fma.f64 8/9 t (+.f64 1/54 (fma.f64 2/3 (*.f64 t t) (/.f64 2/81 t)))) |
(+.f64 (fma.f64 t 8/9 (fma.f64 (*.f64 t t) 2/3 1/54)) (/.f64 2/81 t)) |
(+.f64 (fma.f64 t (*.f64 t 2/3) (fma.f64 t 8/9 1/54)) (/.f64 2/81 t)) |
(+.f64 1/54 (fma.f64 t (fma.f64 t 2/3 8/9) (/.f64 2/81 t))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 1 (+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t)))) |
| 0.2b | (/.f64 12 (*.f64 t t)) | |
| ✓ | 15.0b | (/.f64 (+.f64 1 (+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t)))) (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))) |
Compiled 88 to 59 computations (33% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | inf | (+.f64 1 (+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t)))) |
| 1.0ms | t | @ | 0 | (/.f64 (+.f64 1 (+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t)))) (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))) |
| 0.0ms | t | @ | inf | (/.f64 (+.f64 1 (+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t)))) (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))) |
| 0.0ms | t | @ | -inf | (/.f64 (+.f64 1 (+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t)))) (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))) |
| 0.0ms | t | @ | 0 | (+.f64 1 (+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t)))) |
| 1× | batch-egg-rewrite |
| 898× | fma-def_binary64 |
| 471× | fma-neg_binary64 |
| 341× | expm1-udef_binary64 |
| 341× | log1p-udef_binary64 |
| 198× | add-sqr-sqrt_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 56 |
| 1 | 391 | 48 |
| 2 | 6031 | 44 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 1 (+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t)))) (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))) |
(+.f64 1 (+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t)))) |
| Outputs |
|---|
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(/.f64 -8 t))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 12 (pow.f64 t -2) (+.f64 5 (/.f64 -8 t)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 12 (pow.f64 t -2) (+.f64 5 (/.f64 -8 t)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 12 (pow.f64 t -2) (+.f64 5 (/.f64 -8 t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 12 (pow.f64 t -2) (+.f64 5 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 12 (pow.f64 t -2) (+.f64 5 (/.f64 -8 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 12 (pow.f64 t -2) (+.f64 5 (/.f64 -8 t))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 12 (pow.f64 t -2) (+.f64 5 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 12 (pow.f64 t -2) (+.f64 5 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 12 (pow.f64 t -2) (+.f64 5 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 12 (pow.f64 t -2) (+.f64 5 (/.f64 -8 t)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 4 (/.f64 -8 t)) (fma.f64 12 (pow.f64 t -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 12 (pow.f64 t -2)) (+.f64 5 (/.f64 -8 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 4 (fma.f64 12 (pow.f64 t -2) (/.f64 -8 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 5 (/.f64 -8 t)) (*.f64 12 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 4 (/.f64 -8 t)) 1 (fma.f64 12 (pow.f64 t -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 12 (pow.f64 t -2) (+.f64 5 (/.f64 -8 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 12 (pow.f64 t -2)) 1 (+.f64 5 (/.f64 -8 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 4 (fma.f64 12 (pow.f64 t -2) (/.f64 -8 t))) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 4 (fma.f64 12 (pow.f64 t -2) (/.f64 -8 t)))) (pow.f64 (cbrt.f64 (+.f64 4 (fma.f64 12 (pow.f64 t -2) (/.f64 -8 t)))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 4 (fma.f64 12 (pow.f64 t -2) (/.f64 -8 t)))) 2) (cbrt.f64 (+.f64 4 (fma.f64 12 (pow.f64 t -2) (/.f64 -8 t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 12 (pow.f64 t -2))) (cbrt.f64 (/.f64 144 (pow.f64 t 4))) (+.f64 5 (/.f64 -8 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 144 (pow.f64 t 4))) (cbrt.f64 (*.f64 12 (pow.f64 t -2))) (+.f64 5 (/.f64 -8 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 4 (/.f64 -8 t))) (cbrt.f64 (pow.f64 (+.f64 4 (/.f64 -8 t)) 2)) (fma.f64 12 (pow.f64 t -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 4 (/.f64 -8 t)) 2)) (cbrt.f64 (+.f64 4 (/.f64 -8 t))) (fma.f64 12 (pow.f64 t -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 4 (fma.f64 12 (pow.f64 t -2) (/.f64 -8 t)))) (sqrt.f64 (+.f64 4 (fma.f64 12 (pow.f64 t -2) (/.f64 -8 t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 12) t) (/.f64 (sqrt.f64 12) t) (+.f64 5 (/.f64 -8 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 4 (/.f64 -8 t))) (sqrt.f64 (+.f64 4 (/.f64 -8 t))) (fma.f64 12 (pow.f64 t -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -12 (/.f64 1 (*.f64 t (neg.f64 t))) (+.f64 5 (/.f64 -8 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 64 (/.f64 -512 (pow.f64 t 3))) (/.f64 1 (fma.f64 (/.f64 -8 t) (-.f64 (/.f64 -8 t) 4) 16)) (fma.f64 12 (pow.f64 t -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1728 (pow.f64 (pow.f64 t -2) 3) (pow.f64 (+.f64 4 (/.f64 -8 t)) 3)) (/.f64 1 (fma.f64 (*.f64 12 (pow.f64 t -2)) (-.f64 (*.f64 12 (pow.f64 t -2)) (+.f64 4 (/.f64 -8 t))) (pow.f64 (+.f64 4 (/.f64 -8 t)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 t -2) 12 (+.f64 5 (/.f64 -8 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 16 (/.f64 64 (*.f64 t t))) (/.f64 1 (-.f64 4 (/.f64 -8 t))) (fma.f64 12 (pow.f64 t -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 4 (/.f64 -8 t)) 2) (/.f64 144 (pow.f64 t 4))) (/.f64 1 (+.f64 (+.f64 4 (/.f64 -8 t)) (*.f64 -12 (pow.f64 t -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 12 t) (/.f64 1 t) (+.f64 5 (/.f64 -8 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 5 (/.f64 -8 t)) 1 (*.f64 12 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 5 (/.f64 -8 t))) (cbrt.f64 (+.f64 5 (/.f64 -8 t)))) (cbrt.f64 (+.f64 5 (/.f64 -8 t))) (*.f64 12 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 5 (/.f64 -8 t))) (sqrt.f64 (+.f64 5 (/.f64 -8 t))) (*.f64 12 (pow.f64 t -2))))))) |
| 1× | egg-herbie |
| 919× | fma-def_binary64 |
| 805× | unswap-sqr_binary64 |
| 451× | distribute-neg-frac_binary64 |
| 393× | associate-/r*_binary64 |
| 377× | cancel-sign-sub-inv_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 282 |
| 1 | 124 | 280 |
| 2 | 275 | 276 |
| 3 | 700 | 270 |
| 4 | 1909 | 267 |
| 5 | 5190 | 263 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/12 (pow.f64 t 2))) |
(+.f64 1 (+.f64 (*.f64 -1/12 (pow.f64 t 2)) (*.f64 -1/18 (pow.f64 t 3)))) |
(+.f64 1 (+.f64 (*.f64 1/216 (pow.f64 t 4)) (+.f64 (*.f64 -1/12 (pow.f64 t 2)) (*.f64 -1/18 (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 (*.f64 40/81 (/.f64 1 (pow.f64 t 3))) 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))) (+.f64 (*.f64 40/81 (/.f64 1 (pow.f64 t 3))) 5/6)) (*.f64 2/9 (/.f64 1 t))) |
(/.f64 12 (pow.f64 t 2)) |
(-.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 5 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 5 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
5 |
(-.f64 5 (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 5 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 5 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
5 |
(-.f64 5 (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 5 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(-.f64 (+.f64 5 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1/12 (pow.f64 t 2))) |
(+.f64 1 (*.f64 -1/12 (*.f64 t t))) |
(fma.f64 -1/12 (*.f64 t t) 1) |
(+.f64 1 (+.f64 (*.f64 -1/12 (pow.f64 t 2)) (*.f64 -1/18 (pow.f64 t 3)))) |
(+.f64 1 (fma.f64 -1/12 (*.f64 t t) (*.f64 -1/18 (pow.f64 t 3)))) |
(fma.f64 -1/12 (*.f64 t t) (fma.f64 -1/18 (pow.f64 t 3) 1)) |
(fma.f64 (*.f64 t t) (fma.f64 t -1/18 -1/12) 1) |
(fma.f64 t (*.f64 t (fma.f64 t -1/18 -1/12)) 1) |
(+.f64 1 (+.f64 (*.f64 1/216 (pow.f64 t 4)) (+.f64 (*.f64 -1/12 (pow.f64 t 2)) (*.f64 -1/18 (pow.f64 t 3))))) |
(+.f64 1 (fma.f64 1/216 (pow.f64 t 4) (fma.f64 -1/12 (*.f64 t t) (*.f64 -1/18 (pow.f64 t 3))))) |
(fma.f64 1/216 (pow.f64 t 4) (fma.f64 -1/12 (*.f64 t t) (fma.f64 -1/18 (pow.f64 t 3) 1))) |
(fma.f64 t (*.f64 t (fma.f64 t -1/18 -1/12)) (fma.f64 1/216 (pow.f64 t 4) 1)) |
(fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 1/216 -1/18) -1/12)) 1) |
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 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 (*.f64 40/81 (/.f64 1 (pow.f64 t 3))) 5/6)) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 40/81 (pow.f64 t 3)))) (/.f64 2/9 t)) |
(+.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 40/81 (pow.f64 t 3)))) (/.f64 -2/9 t)) |
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 40/81 (pow.f64 t 3)))) |
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 40/81 (pow.f64 t 3)) (/.f64 -2/9 t)))) |
(+.f64 5/6 (fma.f64 (/.f64 1 (*.f64 t t)) (+.f64 1/27 (/.f64 40/81 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 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 (*.f64 40/81 (/.f64 1 (pow.f64 t 3))) 5/6)) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 40/81 (pow.f64 t 3)))) (/.f64 2/9 t)) |
(+.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 40/81 (pow.f64 t 3)))) (/.f64 -2/9 t)) |
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 40/81 (pow.f64 t 3)))) |
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 40/81 (pow.f64 t 3)) (/.f64 -2/9 t)))) |
(+.f64 5/6 (fma.f64 (/.f64 1 (*.f64 t t)) (+.f64 1/27 (/.f64 40/81 t)) (/.f64 -2/9 t))) |
(/.f64 12 (pow.f64 t 2)) |
(/.f64 12 (*.f64 t t)) |
(-.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) (*.f64 8 (/.f64 1 t))) |
(-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)) |
(+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)) |
(-.f64 (/.f64 -8 t) (/.f64 -12 (*.f64 t t))) |
(-.f64 (+.f64 5 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(+.f64 5 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t))) |
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 5 (/.f64 -8 t))) |
(+.f64 (-.f64 (/.f64 -8 t) (/.f64 -12 (*.f64 t t))) 5) |
(-.f64 (+.f64 5 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(+.f64 5 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t))) |
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 5 (/.f64 -8 t))) |
(+.f64 (-.f64 (/.f64 -8 t) (/.f64 -12 (*.f64 t t))) 5) |
5 |
(-.f64 5 (*.f64 8 (/.f64 1 t))) |
(-.f64 5 (/.f64 8 t)) |
(+.f64 5 (/.f64 -8 t)) |
(-.f64 (+.f64 5 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(+.f64 5 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t))) |
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 5 (/.f64 -8 t))) |
(+.f64 (-.f64 (/.f64 -8 t) (/.f64 -12 (*.f64 t t))) 5) |
(-.f64 (+.f64 5 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(+.f64 5 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t))) |
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 5 (/.f64 -8 t))) |
(+.f64 (-.f64 (/.f64 -8 t) (/.f64 -12 (*.f64 t t))) 5) |
5 |
(-.f64 5 (*.f64 8 (/.f64 1 t))) |
(-.f64 5 (/.f64 8 t)) |
(+.f64 5 (/.f64 -8 t)) |
(-.f64 (+.f64 5 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(+.f64 5 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t))) |
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 5 (/.f64 -8 t))) |
(+.f64 (-.f64 (/.f64 -8 t) (/.f64 -12 (*.f64 t t))) 5) |
(-.f64 (+.f64 5 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t))) |
(+.f64 5 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t))) |
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 5 (/.f64 -8 t))) |
(+.f64 (-.f64 (/.f64 -8 t) (/.f64 -12 (*.f64 t t))) 5) |
Compiled 27588 to 20721 computations (24.9% saved)
9 alts after pruning (7 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1030 | 6 | 1036 |
| Fresh | 1 | 1 | 2 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 2 | 5 |
| Total | 1035 | 9 | 1044 |
| Status | Error | Program |
|---|---|---|
| 24.4b | 1/2 | |
| ✓ | 33.6b | (+.f64 5/6 (/.f64 -2/9 t)) |
| ▶ | 34.1b | (-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1) |
| ▶ | 26.5b | (/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
| ▶ | 33.6b | (+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t)) |
| ✓ | 12.8b | (/.f64 (+.f64 1 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))) |
| 28.3b | 5/6 | |
| 51.2b | 1 | |
| ▶ | 12.8b | (/.f64 (+.f64 1 (/.f64 (*.f64 (/.f64 4 (+.f64 t 1)) (*.f64 t t)) (+.f64 t 1))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))) |
Compiled 112 to 85 computations (24.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t)) |
| ✓ | 0.0b | (-.f64 -2/9 (/.f64 -1/27 t)) |
| ✓ | 0.3b | (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t) |
| ✓ | 0.3b | (/.f64 -1/27 t) |
Compiled 29 to 22 computations (24.1% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | inf | (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t) |
| 1.0ms | t | @ | 0 | (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t) |
| 1.0ms | t | @ | 0 | (/.f64 -1/27 t) |
| 0.0ms | t | @ | 0 | (+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t)) |
| 0.0ms | t | @ | inf | (/.f64 -1/27 t) |
| 1× | batch-egg-rewrite |
| 474× | log-prod_binary64 |
| 282× | pow2_binary64 |
| 265× | prod-diff_binary64 |
| 249× | pow-prod-down_binary64 |
| 196× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 34 |
| 1 | 218 | 34 |
| 2 | 3024 | 34 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1/27 t) |
(/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t) |
(-.f64 -2/9 (/.f64 -1/27 t)) |
(+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t)) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 1 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -2/9 t) (neg.f64 (fma.f64 -1/27 (pow.f64 t -2) -5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 -2/9 (/.f64 1/27 t))) 2) (*.f64 (cbrt.f64 (+.f64 -2/9 (/.f64 1/27 t))) (/.f64 1 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 2)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 2)) (cbrt.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 -2/9 (/.f64 1/27 t))) (*.f64 (sqrt.f64 (+.f64 -2/9 (/.f64 1/27 t))) (/.f64 1 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)) (sqrt.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 2/9 (neg.f64 (/.f64 1/27 t))) (/.f64 1 (neg.f64 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 t) (+.f64 -2/9 (/.f64 1/27 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)) (neg.f64 (fma.f64 -1/27 (pow.f64 t -2) -5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -2/9 t)) (sqrt.f64 (/.f64 -2/9 t)) (neg.f64 (fma.f64 -1/27 (pow.f64 t -2) -5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 t) -2) (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) (cbrt.f64 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 t -1/2) (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) (sqrt.f64 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -2/9 (/.f64 1/27 t))) 2) 1) (/.f64 (cbrt.f64 (+.f64 -2/9 (/.f64 1/27 t))) t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (+.f64 -2/9 (/.f64 1/27 t))) 1) (/.f64 (sqrt.f64 (+.f64 -2/9 (/.f64 1/27 t))) t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -2/9 (/.f64 1/27 t))) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (+.f64 -2/9 (/.f64 1/27 t))) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (+.f64 -2/9 (/.f64 1/27 t))) (cbrt.f64 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -2/9 (/.f64 1/27 t))) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (+.f64 -2/9 (/.f64 1/27 t))) (sqrt.f64 t)) 5/6))))) |
| 1× | egg-herbie |
| 688× | distribute-neg-frac_binary64 |
| 599× | div-sub_binary64 |
| 562× | fma-neg_binary64 |
| 434× | unswap-sqr_binary64 |
| 425× | times-frac_binary64 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 333 |
| 1 | 53 | 333 |
| 2 | 86 | 333 |
| 3 | 151 | 333 |
| 4 | 328 | 333 |
| 5 | 965 | 321 |
| 6 | 4458 | 285 |
| 7 | 7583 | 285 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1/27 (pow.f64 t 2)) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(/.f64 -2/9 t) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(/.f64 -2/9 t) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(/.f64 1/27 t) |
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9) |
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9) |
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9) |
-2/9 |
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9) |
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9) |
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9) |
-2/9 |
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9) |
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9) |
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9) |
(/.f64 1/27 (pow.f64 t 2)) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t))) |
5/6 |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t))) |
5/6 |
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t))) |
| Outputs |
|---|
(/.f64 1/27 (pow.f64 t 2)) |
(/.f64 1/27 (*.f64 t t)) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t)) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)) |
(/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t)) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)) |
(/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t)) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)) |
(/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) |
(/.f64 -2/9 t) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t)) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)) |
(/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t)) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)) |
(/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t)) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)) |
(/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) |
(/.f64 -2/9 t) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t)) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)) |
(/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t)) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)) |
(/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t)) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)) |
(/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) |
(/.f64 1/27 t) |
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9) |
(+.f64 (/.f64 1/27 t) -2/9) |
(+.f64 -2/9 (/.f64 1/27 t)) |
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9) |
(+.f64 (/.f64 1/27 t) -2/9) |
(+.f64 -2/9 (/.f64 1/27 t)) |
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9) |
(+.f64 (/.f64 1/27 t) -2/9) |
(+.f64 -2/9 (/.f64 1/27 t)) |
-2/9 |
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9) |
(+.f64 (/.f64 1/27 t) -2/9) |
(+.f64 -2/9 (/.f64 1/27 t)) |
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9) |
(+.f64 (/.f64 1/27 t) -2/9) |
(+.f64 -2/9 (/.f64 1/27 t)) |
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9) |
(+.f64 (/.f64 1/27 t) -2/9) |
(+.f64 -2/9 (/.f64 1/27 t)) |
-2/9 |
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9) |
(+.f64 (/.f64 1/27 t) -2/9) |
(+.f64 -2/9 (/.f64 1/27 t)) |
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9) |
(+.f64 (/.f64 1/27 t) -2/9) |
(+.f64 -2/9 (/.f64 1/27 t)) |
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9) |
(+.f64 (/.f64 1/27 t) -2/9) |
(+.f64 -2/9 (/.f64 1/27 t)) |
(/.f64 1/27 (pow.f64 t 2)) |
(/.f64 1/27 (*.f64 t t)) |
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))) |
(-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t)) |
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)) |
(/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) |
(-.f64 (+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t))) |
(+.f64 (/.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 (-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t)) 5/6) |
(fma.f64 (/.f64 1 t) (+.f64 -2/9 (/.f64 1/27 t)) 5/6) |
(+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) 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))) |
(+.f64 (-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t)) 5/6) |
(fma.f64 (/.f64 1 t) (+.f64 -2/9 (/.f64 1/27 t)) 5/6) |
(+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) 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))) |
(+.f64 (-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t)) 5/6) |
(fma.f64 (/.f64 1 t) (+.f64 -2/9 (/.f64 1/27 t)) 5/6) |
(+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) 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))) |
(+.f64 (-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t)) 5/6) |
(fma.f64 (/.f64 1 t) (+.f64 -2/9 (/.f64 1/27 t)) 5/6) |
(+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) 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))) |
(+.f64 (-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t)) 5/6) |
(fma.f64 (/.f64 1 t) (+.f64 -2/9 (/.f64 1/27 t)) 5/6) |
(+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) 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))) |
(+.f64 (-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t)) 5/6) |
(fma.f64 (/.f64 1 t) (+.f64 -2/9 (/.f64 1/27 t)) 5/6) |
(+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 5/6) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (/.f64 -2/9 t) 5/6) |
| 0.4b | (/.f64 -2/9 t) | |
| ✓ | 0.4b | (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) |
| ✓ | 0.5b | (-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1) |
Compiled 29 to 24 computations (17.2% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | t | @ | 0 | (-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1) |
| 0.0ms | t | @ | inf | (-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1) |
| 0.0ms | t | @ | 0 | (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) |
| 0.0ms | t | @ | -inf | (-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1) |
| 0.0ms | t | @ | -inf | (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) |
| 1× | batch-egg-rewrite |
| 570× | unpow-prod-down_binary64 |
| 487× | prod-diff_binary64 |
| 368× | log-prod_binary64 |
| 368× | fma-def_binary64 |
| 244× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 36 |
| 1 | 216 | 21 |
| 2 | 3014 | 21 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1) |
(+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) |
(+.f64 (/.f64 -2/9 t) 5/6) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 1) (-.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 1) 1))))) |
| 1× | egg-herbie |
| 24× | fma-def_binary64 |
| 16× | sub-neg_binary64 |
| 8× | +-commutative_binary64 |
| 6× | associate-+l-_binary64 |
| 6× | associate--r+_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 207 |
| 1 | 24 | 207 |
| 2 | 37 | 207 |
| 3 | 61 | 207 |
| 4 | 84 | 207 |
| 5 | 108 | 207 |
| 6 | 134 | 207 |
| 7 | 156 | 207 |
| 8 | 166 | 207 |
| 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))) |
(/.f64 -2/9 t) |
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t))) |
11/6 |
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t))) |
11/6 |
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 11/6 (*.f64 2/9 (/.f64 1 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 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)) |
(/.f64 -2/9 t) |
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 11/6 (/.f64 2/9 t)) |
(+.f64 11/6 (/.f64 -2/9 t)) |
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 11/6 (/.f64 2/9 t)) |
(+.f64 11/6 (/.f64 -2/9 t)) |
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 11/6 (/.f64 2/9 t)) |
(+.f64 11/6 (/.f64 -2/9 t)) |
11/6 |
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 11/6 (/.f64 2/9 t)) |
(+.f64 11/6 (/.f64 -2/9 t)) |
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 11/6 (/.f64 2/9 t)) |
(+.f64 11/6 (/.f64 -2/9 t)) |
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 11/6 (/.f64 2/9 t)) |
(+.f64 11/6 (/.f64 -2/9 t)) |
11/6 |
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 11/6 (/.f64 2/9 t)) |
(+.f64 11/6 (/.f64 -2/9 t)) |
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 11/6 (/.f64 2/9 t)) |
(+.f64 11/6 (/.f64 -2/9 t)) |
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t))) |
(-.f64 11/6 (/.f64 2/9 t)) |
(+.f64 11/6 (/.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)) | |
| ✓ | 12.4b | (/.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 | @ | 0 | (/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
| 1.0ms | t | @ | inf | (/.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 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2))) 2) (cbrt.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 t 2)) 4)) (*.f64 (cbrt.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 (hypot.f64 1 (*.f64 t 2)) (sqrt.f64 (fma.f64 4 (*.f64 t t) 2))) (/.f64 (hypot.f64 1 (*.f64 t 2)) (sqrt.f64 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (*.f64 t 2)) (*.f64 (hypot.f64 1 (*.f64 t 2)) (/.f64 1 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 4 (*.f64 t t) 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 4 (*.f64 t t) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 t 2)) 4)) 1) (/.f64 (cbrt.f64 (fma.f64 4 (*.f64 t t) 1)) (fma.f64 4 (*.f64 t t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 t 2)) 1) (/.f64 (hypot.f64 1 (*.f64 t 2)) (fma.f64 4 (*.f64 t t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (*.f64 t t) 2)) -2) (/.f64 (fma.f64 4 (*.f64 t t) 1) (cbrt.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)) (cbrt.f64 (pow.f64 (fma.f64 4 (*.f64 t t) 2) 2))) (cbrt.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (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 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1)) | |
| 0.0b | (*.f64 4 (*.f64 t t)) | |
| 11.8b | (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) | |
| ✓ | 11.9b | (*.f64 (/.f64 4 (+.f64 t 1)) (*.f64 t t)) |
Compiled 126 to 80 computations (36.5% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | t | @ | 0 | (*.f64 (/.f64 4 (+.f64 t 1)) (*.f64 t t)) |
| 0.0ms | t | @ | inf | (*.f64 (/.f64 4 (+.f64 t 1)) (*.f64 t t)) |
| 0.0ms | t | @ | -inf | (*.f64 (/.f64 4 (+.f64 t 1)) (*.f64 t t)) |
| 1× | batch-egg-rewrite |
| 835× | pow1_binary64 |
| 784× | log1p-expm1-u_binary64 |
| 784× | expm1-log1p-u_binary64 |
| 783× | add-log-exp_binary64 |
| 767× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 175 | 13 |
| 2 | 2233 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 4 (+.f64 t 1)) (*.f64 t t)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 4 (/.f64 (*.f64 t t) (+.f64 t 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (+.f64 t 1) (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 t 1) (*.f64 4 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t t) (*.f64 (+.f64 t 1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 4 (*.f64 t t))) (+.f64 -1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 (*.f64 t t)) 1) (+.f64 t 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 (*.f64 t t)) (pow.f64 (cbrt.f64 (+.f64 t 1)) 2)) (cbrt.f64 (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 (*.f64 t t)) (sqrt.f64 (+.f64 t 1))) (sqrt.f64 (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -4 (*.f64 t t)) (+.f64 -1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 t t) -4) (+.f64 -1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (/.f64 (*.f64 t t) (+.f64 t 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 4 (/.f64 (*.f64 t t) (+.f64 t 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (*.f64 t t) (+.f64 t 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (/.f64 2 (sqrt.f64 (+.f64 t 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 4 (+.f64 t 1)) 2) (pow.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 4 (+.f64 t 1))) (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (*.f64 t t) (+.f64 t 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (+.f64 t 1)) 3) (pow.f64 (*.f64 t t) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 t t) 3) (pow.f64 (/.f64 4 (+.f64 t 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (*.f64 t t) (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 4 (/.f64 (*.f64 t t) (+.f64 t 1)))))))) (#(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 16118 to 12409 computations (23% saved)
10 alts after pruning (5 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 718 | 3 | 721 |
| Fresh | 1 | 2 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 4 | 5 |
| Total | 720 | 10 | 730 |
| Status | Error | Program |
|---|---|---|
| 24.4b | 1/2 | |
| ✓ | 33.6b | (+.f64 5/6 (/.f64 -2/9 t)) |
| 28.7b | (-.f64 11/6 1) | |
| ✓ | 12.8b | (/.f64 (+.f64 1 (/.f64 (*.f64 (/.f64 4 (+.f64 t 1)) (*.f64 t t)) (+.f64 t 1))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))) |
| ✓ | 26.5b | (/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
| 34.1b | (-.f64 (+.f64 11/6 (/.f64 -2/9 t)) 1) | |
| ✓ | 33.6b | (+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t)) |
| ✓ | 12.8b | (/.f64 (+.f64 1 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))) |
| 28.3b | 5/6 | |
| 51.2b | 1 |
Compiled 114 to 87 computations (23.7% saved)
| Inputs |
|---|
5/6 |
5/6 |
1 |
1/2 |
5/6 |
(-.f64 11/6 1) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 (+.f64 11/6 (/.f64 -2/9 t)) 1) |
(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1) |
(+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t)) |
(+.f64 5/6 (-.f64 (/.f64 -2/9 t) (/.f64 -1/27 (*.f64 t t)))) |
(/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
(/.f64 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)))) 6) |
(/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))) |
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 6 (/.f64 -8 t))) |
(/.f64 (+.f64 1 (+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t)))) (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 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 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))) |
(/.f64 (+.f64 1 (/.f64 (*.f64 (/.f64 4 (+.f64 t 1)) (*.f64 t t)) (+.f64 t 1))) (+.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 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 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 t 2)))) |
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 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 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 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 (*.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))))) |
4 calls:
| 13.0ms | t |
| 11.0ms | (/.f64 (*.f64 2 t) (+.f64 1 t)) |
| 8.0ms | (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))) |
| 4.0ms | (/.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 517 to 384 computations (25.7% saved)
| Inputs |
|---|
5/6 |
5/6 |
1 |
1/2 |
5/6 |
(-.f64 11/6 1) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 (+.f64 11/6 (/.f64 -2/9 t)) 1) |
(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1) |
(+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t)) |
(+.f64 5/6 (-.f64 (/.f64 -2/9 t) (/.f64 -1/27 (*.f64 t t)))) |
(/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
(/.f64 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)))) 6) |
(/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))) |
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 6 (/.f64 -8 t))) |
(/.f64 (+.f64 1 (+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t)))) (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 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 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))) |
(/.f64 (+.f64 1 (/.f64 (*.f64 (/.f64 4 (+.f64 t 1)) (*.f64 t t)) (+.f64 t 1))) (+.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 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 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 t 2)))) |
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 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 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 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))))) |
| Outputs |
|---|
5/6 |
(/.f64 (+.f64 1 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))) |
(+.f64 5/6 (/.f64 -2/9 t)) |
5 calls:
| 63.0ms | (/.f64 (*.f64 2 t) (+.f64 1 t)) |
| 40.0ms | t |
| 40.0ms | (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))) |
| 21.0ms | (/.f64 (*.f64 2 t) (+.f64 1 t)) |
| 12.0ms | (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 3 | t |
| 0.6b | 2 | (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))) |
| 0.6b | 2 | (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))) |
| 0.4b | 2 | (/.f64 (*.f64 2 t) (+.f64 1 t)) |
| 0.4b | 2 | (/.f64 (*.f64 2 t) (+.f64 1 t)) |
Compiled 470 to 347 computations (26.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 33.0ms | 4.15177225914902 | 130738592981.59288 |
| 37.0ms | -1.5969821518931573e+158 | -4.739904007643466e+152 |
Compiled 40 to 31 computations (22.5% saved)
| Inputs |
|---|
5/6 |
5/6 |
1 |
1/2 |
5/6 |
(-.f64 11/6 1) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 (+.f64 11/6 (/.f64 -2/9 t)) 1) |
(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1) |
(+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t)) |
(+.f64 5/6 (-.f64 (/.f64 -2/9 t) (/.f64 -1/27 (*.f64 t t)))) |
(/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
(/.f64 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)))) 6) |
(/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))) |
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 6 (/.f64 -8 t))) |
(/.f64 (+.f64 1 (+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t)))) (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 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 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))) |
(/.f64 (+.f64 1 (/.f64 (*.f64 (/.f64 4 (+.f64 t 1)) (*.f64 t t)) (+.f64 t 1))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))) |
| Outputs |
|---|
5/6 |
(/.f64 (+.f64 1 (/.f64 (*.f64 (/.f64 4 (+.f64 t 1)) (*.f64 t t)) (+.f64 t 1))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))) |
(+.f64 5/6 (/.f64 -2/9 t)) |
5 calls:
| 28.0ms | t |
| 26.0ms | (/.f64 (*.f64 2 t) (+.f64 1 t)) |
| 17.0ms | (/.f64 (*.f64 2 t) (+.f64 1 t)) |
| 16.0ms | (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))) |
| 15.0ms | (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 3 | t |
| 0.6b | 2 | (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))) |
| 0.6b | 2 | (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))) |
| 0.4b | 2 | (/.f64 (*.f64 2 t) (+.f64 1 t)) |
| 0.4b | 2 | (/.f64 (*.f64 2 t) (+.f64 1 t)) |
Compiled 309 to 228 computations (26.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 33.0ms | 4.15177225914902 | 130738592981.59288 |
| 36.0ms | -3.200420773263416e+71 | -2.37354906632565e+69 |
Compiled 40 to 31 computations (22.5% saved)
| Inputs |
|---|
5/6 |
5/6 |
1 |
1/2 |
5/6 |
(-.f64 11/6 1) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 (+.f64 11/6 (/.f64 -2/9 t)) 1) |
(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1) |
(+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t)) |
(+.f64 5/6 (-.f64 (/.f64 -2/9 t) (/.f64 -1/27 (*.f64 t t)))) |
(/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
(/.f64 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)))) 6) |
(/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))) |
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 6 (/.f64 -8 t))) |
(/.f64 (+.f64 1 (+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t)))) (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 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 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))) |
| Outputs |
|---|
(+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t)) |
(/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (*.f64 4 (*.f64 t t)))) |
(+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t)) |
5 calls:
| 33.0ms | t |
| 17.0ms | (/.f64 (*.f64 2 t) (+.f64 1 t)) |
| 16.0ms | (/.f64 (*.f64 2 t) (+.f64 1 t)) |
| 10.0ms | (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))) |
| 10.0ms | (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))) |
| Error | Segments | Branch |
|---|---|---|
| 0.8b | 3 | t |
| 0.8b | 2 | (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))) |
| 0.8b | 2 | (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))) |
| 0.8b | 2 | (/.f64 (*.f64 2 t) (+.f64 1 t)) |
| 0.8b | 2 | (/.f64 (*.f64 2 t) (+.f64 1 t)) |
Compiled 278 to 207 computations (25.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 34.0ms | 7.357464671497419e-7 | 4.15177225914902 |
| 34.0ms | -22.24483945582564 | -1.981174535060629 |
Compiled 40 to 31 computations (22.5% saved)
| Inputs |
|---|
5/6 |
5/6 |
1 |
1/2 |
5/6 |
(-.f64 11/6 1) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 (+.f64 11/6 (/.f64 -2/9 t)) 1) |
(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1) |
(+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t)) |
(+.f64 5/6 (-.f64 (/.f64 -2/9 t) (/.f64 -1/27 (*.f64 t t)))) |
| Outputs |
|---|
(+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t)) |
1/2 |
(+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t)) |
1 calls:
| 24.0ms | t |
| Error | Segments | Branch |
|---|---|---|
| 0.8b | 3 | t |
Compiled 52 to 43 computations (17.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 58.0ms | 7.357464671497419e-7 | 4.15177225914902 |
| 61.0ms | -0.930147416678627 | -7.254954290067613e-9 |
Compiled 40 to 31 computations (22.5% saved)
| Inputs |
|---|
5/6 |
5/6 |
1 |
1/2 |
5/6 |
(-.f64 11/6 1) |
(+.f64 5/6 (/.f64 -2/9 t)) |
(-.f64 (+.f64 11/6 (/.f64 -2/9 t)) 1) |
(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1) |
| Outputs |
|---|
(+.f64 5/6 (/.f64 -2/9 t)) |
1/2 |
(+.f64 5/6 (/.f64 -2/9 t)) |
1 calls:
| 34.0ms | t |
| Error | Segments | Branch |
|---|---|---|
| 0.9b | 3 | t |
Compiled 32 to 28 computations (12.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 34.0ms | 7.357464671497419e-7 | 4.15177225914902 |
| 53.0ms | -0.930147416678627 | -7.254954290067613e-9 |
Compiled 40 to 31 computations (22.5% saved)
| Inputs |
|---|
5/6 |
5/6 |
1 |
1/2 |
5/6 |
(-.f64 11/6 1) |
| Outputs |
|---|
5/6 |
1/2 |
5/6 |
1 calls:
| 14.0ms | t |
| Error | Segments | Branch |
|---|---|---|
| 1.2b | 3 | t |
Compiled 11 to 10 computations (9.1% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 34.0ms | 7.357464671497419e-7 | 4.15177225914902 |
| 35.0ms | -0.930147416678627 | -7.254954290067613e-9 |
Compiled 40 to 31 computations (22.5% saved)
Total -23.0b remaining (-81.2%)
Threshold costs -23.0b (-81.2%)
| Inputs |
|---|
5/6 |
5/6 |
1 |
| Outputs |
|---|
5/6 |
1 calls:
| 3.0ms | t |
| Error | Segments | Branch |
|---|---|---|
| 28.3b | 1 | t |
Compiled 6 to 5 computations (16.7% saved)
| 1× | egg-herbie |
| 12× | +-commutative_binary64 |
| 4× | *-commutative_binary64 |
| 2× | sub-neg_binary64 |
| 1× | distribute-neg-frac_binary64 |
| 1× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 326 |
| 1 | 80 | 326 |
| 2 | 87 | 326 |
| 3 | 89 | 326 |
| 4 | 90 | 326 |
| 1× | fuel |
| 1× | saturated |
| 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))))) |
(if (<=.f64 t -159698215189315730095087018734775063174622181916372441182680981778640720134413589522703131690026569840693163151587778924340339873619705015538604974226611896320) 5/6 (if (<=.f64 t 584309999975959/140737488355328) (/.f64 (+.f64 1 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))) (+.f64 5/6 (/.f64 -2/9 t)))) |
(if (<=.f64 t -320042077326341617924436902203600977814325900401660632206395652989517824) 5/6 (if (<=.f64 t 584309999975959/140737488355328) (/.f64 (+.f64 1 (/.f64 (*.f64 (/.f64 4 (+.f64 t 1)) (*.f64 t t)) (+.f64 t 1))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))) (+.f64 5/6 (/.f64 -2/9 t)))) |
(if (<=.f64 t -1565341416940201/70368744177664) (+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t)) (if (<=.f64 t 6948928912715387/9444732965739290427392) (/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (*.f64 4 (*.f64 t t)))) (+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t)))) |
(if (<=.f64 t -2094505779576747/2251799813685248) (+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t)) (if (<=.f64 t 6948928912715387/9444732965739290427392) 1/2 (+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t)))) |
(if (<=.f64 t -2094505779576747/2251799813685248) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 6948928912715387/9444732965739290427392) 1/2 (+.f64 5/6 (/.f64 -2/9 t)))) |
(if (<=.f64 t -2094505779576747/2251799813685248) 5/6 (if (<=.f64 t 6948928912715387/9444732965739290427392) 1/2 5/6)) |
5/6 |
| 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))))) |
(if (<=.f64 t -159698215189315730095087018734775063174622181916372441182680981778640720134413589522703131690026569840693163151587778924340339873619705015538604974226611896320) 5/6 (if (<=.f64 t 584309999975959/140737488355328) (/.f64 (+.f64 1 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))) (+.f64 5/6 (/.f64 -2/9 t)))) |
(if (<=.f64 t -159698215189315730095087018734775063174622181916372441182680981778640720134413589522703131690026569840693163151587778924340339873619705015538604974226611896320) 5/6 (if (<=.f64 t 584309999975959/140737488355328) (/.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)))) (+.f64 5/6 (/.f64 -2/9 t)))) |
(if (<=.f64 t -320042077326341617924436902203600977814325900401660632206395652989517824) 5/6 (if (<=.f64 t 584309999975959/140737488355328) (/.f64 (+.f64 1 (/.f64 (*.f64 (/.f64 4 (+.f64 t 1)) (*.f64 t t)) (+.f64 t 1))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))) (+.f64 5/6 (/.f64 -2/9 t)))) |
(if (<=.f64 t -320042077326341617924436902203600977814325900401660632206395652989517824) 5/6 (if (<=.f64 t 584309999975959/140737488355328) (/.f64 (+.f64 1 (/.f64 (*.f64 (*.f64 t t) (/.f64 4 (+.f64 1 t))) (+.f64 1 t))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 1 t)) (+.f64 1 t)))) (+.f64 5/6 (/.f64 -2/9 t)))) |
(if (<=.f64 t -1565341416940201/70368744177664) (+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t)) (if (<=.f64 t 6948928912715387/9444732965739290427392) (/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (*.f64 4 (*.f64 t t)))) (+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t)))) |
(if (<=.f64 t -1565341416940201/70368744177664) (+.f64 5/6 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)) (if (<=.f64 t 6948928912715387/9444732965739290427392) (/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (*.f64 4 (*.f64 t t)))) (+.f64 5/6 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)))) |
(if (<=.f64 t -2094505779576747/2251799813685248) (+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t)) (if (<=.f64 t 6948928912715387/9444732965739290427392) 1/2 (+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t)))) |
(if (<=.f64 t -2094505779576747/2251799813685248) (+.f64 5/6 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)) (if (<=.f64 t 6948928912715387/9444732965739290427392) 1/2 (+.f64 5/6 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)))) |
(if (<=.f64 t -2094505779576747/2251799813685248) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 6948928912715387/9444732965739290427392) 1/2 (+.f64 5/6 (/.f64 -2/9 t)))) |
(if (<=.f64 t -2094505779576747/2251799813685248) 5/6 (if (<=.f64 t 6948928912715387/9444732965739290427392) 1/2 5/6)) |
5/6 |
Compiled 232 to 177 computations (23.7% saved)
Compiled 225 to 168 computations (25.3% saved)
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