Time bar (total: 2.2s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 50% | 50% | 2 |
| 25% | 25% | 50% | 3 |
| 25% | 12.5% | 62.5% | 4 |
| 25% | 6.2% | 68.8% | 5 |
| 25% | 3.1% | 71.9% | 6 |
| 25% | 1.6% | 73.5% | 7 |
| 25% | 0.8% | 74.2% | 8 |
| 25% | 0.4% | 74.6% | 9 |
| 25% | 0.2% | 74.8% | 10 |
| 25% | 0.1% | 74.9% | 11 |
| 25% | 0% | 75% | 12 |
Compiled 8 to 5 computations (37.5% saved)
| 971.0ms | 8248× | body | 64 | valid |
| 1.0ms | 8× | body | 128 | valid |
| 1.0ms | 13× | body | 64 | invalid |
| 2× | egg-herbie |
| 1883× | fma-neg_binary64 |
| 921× | unsub-neg_binary64 |
| 684× | fma-def_binary64 |
| 590× | associate-+l+_binary64 |
| 364× | associate-+r+_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 10 |
| 1 | 7 | 10 |
| 2 | 12 | 10 |
| 3 | 19 | 10 |
| 4 | 28 | 10 |
| 5 | 45 | 10 |
| 6 | 83 | 10 |
| 7 | 124 | 10 |
| 8 | 201 | 10 |
| 9 | 395 | 10 |
| 10 | 833 | 10 |
| 11 | 2189 | 10 |
| 12 | 4247 | 10 |
| 13 | 4737 | 10 |
| 14 | 4911 | 10 |
| 15 | 4966 | 10 |
| 16 | 4976 | 10 |
| 17 | 4976 | 10 |
| 18 | 6088 | 10 |
| 19 | 6096 | 10 |
| 20 | 6148 | 10 |
| 21 | 6148 | 10 |
| 22 | 7278 | 10 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
| Outputs |
|---|
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
Compiled 7 to 4 computations (42.9% saved)
| 1× | egg-herbie |
| 1883× | fma-neg_binary64 |
| 921× | unsub-neg_binary64 |
| 684× | fma-def_binary64 |
| 590× | associate-+l+_binary64 |
| 364× | associate-+r+_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 10 |
| 1 | 7 | 10 |
| 2 | 12 | 10 |
| 3 | 19 | 10 |
| 4 | 28 | 10 |
| 5 | 45 | 10 |
| 6 | 83 | 10 |
| 7 | 124 | 10 |
| 8 | 201 | 10 |
| 9 | 395 | 10 |
| 10 | 833 | 10 |
| 11 | 2189 | 10 |
| 12 | 4247 | 10 |
| 13 | 4737 | 10 |
| 14 | 4911 | 10 |
| 15 | 4966 | 10 |
| 16 | 4976 | 10 |
| 17 | 4976 | 10 |
| 18 | 6088 | 10 |
| 19 | 6096 | 10 |
| 20 | 6148 | 10 |
| 21 | 6148 | 10 |
| 22 | 7278 | 10 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
| Outputs |
|---|
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.3b | (-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
Compiled 21 to 12 computations (42.9% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (log.f64 (log.f64 x)) |
| ✓ | 0.3b | (-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 51.0ms | x | @ | -inf | (-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
| 46.0ms | x | @ | 0 | (-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
| 30.0ms | x | @ | inf | (-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
| 0.0ms | x | @ | 0 | (log.f64 (log.f64 x)) |
| 0.0ms | x | @ | -inf | (log.f64 (log.f64 x)) |
| 1× | batch-egg-rewrite |
| 600× | pow1_binary64 |
| 560× | add-log-exp_binary64 |
| 560× | log1p-expm1-u_binary64 |
| 560× | expm1-log1p-u_binary64 |
| 549× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 13 |
| 1 | 107 | 13 |
| 2 | 1485 | 13 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(log.f64 (log.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 x) (*.f64 (neg.f64 (log.f64 (log.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) 1 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (log.f64 x)))) (sqrt.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (/.f64 1 (log.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 (log.f64 x)))) (-.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))))) (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 (*.f64 x (log.f64 x))) (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (log.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2))) (neg.f64 (log.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (neg.f64 (log.f64 (log.f64 x))) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (*.f64 (neg.f64 (log.f64 (log.f64 x))) (neg.f64 (log.f64 (log.f64 x)))) (*.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 (neg.f64 (log.f64 (log.f64 x))) (neg.f64 (log.f64 (log.f64 x))))) (-.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (/.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (log.f64 (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 (sqrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (cbrt.f64 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (log.f64 x))) (sqrt.f64 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (log.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (log.f64 x)))))))) |
| 1× | egg-herbie |
| 2842× | fma-neg_binary64 |
| 987× | fma-def_binary64 |
| 859× | distribute-rgt-in_binary64 |
| 684× | unsub-neg_binary64 |
| 580× | distribute-lft-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 216 |
| 1 | 38 | 120 |
| 2 | 73 | 120 |
| 3 | 189 | 120 |
| 4 | 612 | 120 |
| 5 | 1448 | 120 |
| 6 | 2659 | 120 |
| 7 | 4352 | 120 |
| 8 | 4941 | 120 |
| 9 | 5093 | 120 |
| 10 | 5131 | 120 |
| 11 | 5135 | 120 |
| 12 | 5135 | 120 |
| 13 | 5319 | 120 |
| 14 | 6926 | 120 |
| 15 | 7304 | 120 |
| 16 | 7404 | 120 |
| 17 | 7452 | 120 |
| 18 | 7484 | 120 |
| 19 | 7484 | 120 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
| Outputs |
|---|
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))) |
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x))))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))) |
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x))))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))) |
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x))))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))) |
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x))))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x))))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x))))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x))))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x))))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(log.f64 (neg.f64 (neg.f64 (log.f64 x)))) |
(log.f64 (log.f64 x)) |
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(log.f64 (neg.f64 (neg.f64 (log.f64 x)))) |
(log.f64 (log.f64 x)) |
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(log.f64 (neg.f64 (neg.f64 (log.f64 x)))) |
(log.f64 (log.f64 x)) |
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(log.f64 (neg.f64 (neg.f64 (log.f64 x)))) |
(log.f64 (log.f64 x)) |
(log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(log.f64 (neg.f64 (neg.f64 (log.f64 x)))) |
(log.f64 (log.f64 x)) |
(log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(log.f64 (neg.f64 (neg.f64 (log.f64 x)))) |
(log.f64 (log.f64 x)) |
(log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(log.f64 (neg.f64 (neg.f64 (log.f64 x)))) |
(log.f64 (log.f64 x)) |
(log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(log.f64 (neg.f64 (neg.f64 (log.f64 x)))) |
(log.f64 (log.f64 x)) |
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 57 | 2 | 59 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 57 | 3 | 60 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (log.f64 (/.f64 x (log.f64 x))) |
| 1.5b | (*.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))))))) | |
| ✓ | 0.3b | (-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
Compiled 813 to 322 computations (60.4% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (log.f64 (/.f64 x (log.f64 x))) |
| ✓ | 0.3b | (/.f64 x (log.f64 x)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 21.0ms | x | @ | -inf | (log.f64 (/.f64 x (log.f64 x))) |
| 19.0ms | x | @ | 0 | (log.f64 (/.f64 x (log.f64 x))) |
| 14.0ms | x | @ | inf | (log.f64 (/.f64 x (log.f64 x))) |
| 7.0ms | x | @ | inf | (/.f64 x (log.f64 x)) |
| 5.0ms | x | @ | -inf | (/.f64 x (log.f64 x)) |
| 1× | batch-egg-rewrite |
| 515× | pow1_binary64 |
| 492× | add-sqr-sqrt_binary64 |
| 476× | add-log-exp_binary64 |
| 476× | log1p-expm1-u_binary64 |
| 476× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 14 |
| 1 | 100 | 14 |
| 2 | 1283 | 14 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (log.f64 x)) |
(log.f64 (/.f64 x (log.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (/.f64 x (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2) (cbrt.f64 (/.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (log.f64 x))) (sqrt.f64 (/.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 x (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (/.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 x))) (/.f64 x (sqrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (log.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (log.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2)) (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))) (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 x) (log.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (/.f64 x (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (log.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 (*.f64 (log.f64 (log.f64 x)) (log.f64 (log.f64 x))) (*.f64 (log.f64 x) (log.f64 (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (log.f64 x)))) (+.f64 (log.f64 x) (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (log.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (/.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x)))))))) |
| 1× | egg-herbie |
| 840× | div-sub_binary64 |
| 521× | associate-/l/_binary64 |
| 449× | sub-neg_binary64 |
| 402× | distribute-rgt-in_binary64 |
| 345× | fma-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 224 |
| 1 | 53 | 200 |
| 2 | 92 | 192 |
| 3 | 243 | 168 |
| 4 | 628 | 168 |
| 5 | 1406 | 168 |
| 6 | 3592 | 168 |
| 7 | 4724 | 168 |
| 8 | 5899 | 168 |
| 9 | 6708 | 168 |
| 10 | 7136 | 168 |
| 11 | 7382 | 168 |
| 12 | 7570 | 168 |
| 13 | 7650 | 168 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x)))) |
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x)))) |
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x)))) |
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x)))) |
(/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x)) |
(+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x)) |
(+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x)) |
(+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) |
| Outputs |
|---|
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x)))) |
(neg.f64 (/.f64 x (neg.f64 (log.f64 x)))) |
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x))) |
(*.f64 1 (/.f64 x (log.f64 x))) |
(/.f64 x (log.f64 x)) |
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x)))) |
(neg.f64 (/.f64 x (neg.f64 (log.f64 x)))) |
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x))) |
(*.f64 1 (/.f64 x (log.f64 x))) |
(/.f64 x (log.f64 x)) |
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x)))) |
(neg.f64 (/.f64 x (neg.f64 (log.f64 x)))) |
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x))) |
(*.f64 1 (/.f64 x (log.f64 x))) |
(/.f64 x (log.f64 x)) |
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x)))) |
(neg.f64 (/.f64 x (neg.f64 (log.f64 x)))) |
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x))) |
(*.f64 1 (/.f64 x (log.f64 x))) |
(/.f64 x (log.f64 x)) |
(/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(neg.f64 (/.f64 x (neg.f64 (log.f64 x)))) |
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x))) |
(*.f64 1 (/.f64 x (log.f64 x))) |
(/.f64 x (log.f64 x)) |
(/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(neg.f64 (/.f64 x (neg.f64 (log.f64 x)))) |
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x))) |
(*.f64 1 (/.f64 x (log.f64 x))) |
(/.f64 x (log.f64 x)) |
(/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(neg.f64 (/.f64 x (neg.f64 (log.f64 x)))) |
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x))) |
(*.f64 1 (/.f64 x (log.f64 x))) |
(/.f64 x (log.f64 x)) |
(/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(neg.f64 (/.f64 x (neg.f64 (log.f64 x)))) |
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x))) |
(*.f64 1 (/.f64 x (log.f64 x))) |
(/.f64 x (log.f64 x)) |
(+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x)) |
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x)) |
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x)) |
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x)) |
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x))))) |
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x))))) |
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x))))) |
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x))))) |
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) |
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) |
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) |
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) |
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 67 | 1 | 68 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 70 | 1 | 71 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0b | (neg.f64 (log.f64 (/.f64 (log.f64 x) x))) |
Compiled 716 to 300 computations (58.1% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (log.f64 (/.f64 (log.f64 x) x)) |
| ✓ | 0.3b | (/.f64 (log.f64 x) x) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 62.0ms | x | @ | -inf | (log.f64 (/.f64 (log.f64 x) x)) |
| 9.0ms | x | @ | 0 | (log.f64 (/.f64 (log.f64 x) x)) |
| 7.0ms | x | @ | inf | (log.f64 (/.f64 (log.f64 x) x)) |
| 1.0ms | x | @ | 0 | (/.f64 (log.f64 x) x) |
| 1.0ms | x | @ | -inf | (/.f64 (log.f64 x) x) |
| 1× | batch-egg-rewrite |
| 512× | pow1_binary64 |
| 491× | add-sqr-sqrt_binary64 |
| 474× | add-log-exp_binary64 |
| 473× | log1p-expm1-u_binary64 |
| 473× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 14 |
| 1 | 100 | 14 |
| 2 | 1278 | 14 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (log.f64 x) x) |
(log.f64 (/.f64 (log.f64 x) x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (/.f64 (log.f64 x) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) x)) 2) (cbrt.f64 (/.f64 (log.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 x) x)) (sqrt.f64 (/.f64 (log.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 x)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 x)) 1) (/.f64 (sqrt.f64 (log.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (log.f64 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (log.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (log.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (log.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (log.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (log.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (log.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (log.f64 x) x)))) (sqrt.f64 (log.f64 (/.f64 (log.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 x) x))) 2)) (cbrt.f64 (log.f64 (/.f64 (log.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 x) x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (log.f64 x)) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 (log.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) x)) 2)) (log.f64 (cbrt.f64 (/.f64 (log.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 x) x))) (log.f64 (sqrt.f64 (/.f64 (log.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (log.f64 x)) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (/.f64 (log.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 (log.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 (log.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 x) x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 x) x))) 2) (cbrt.f64 (log.f64 (/.f64 (log.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (/.f64 (log.f64 x) x))) (sqrt.f64 (log.f64 (/.f64 (log.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 (log.f64 x)) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (*.f64 (log.f64 (log.f64 x)) (log.f64 (log.f64 x))) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 (log.f64 x)) (log.f64 (log.f64 x))) (pow.f64 (log.f64 x) 2)) (+.f64 (log.f64 (log.f64 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 (log.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 (log.f64 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (/.f64 (log.f64 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (/.f64 (log.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 (log.f64 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (/.f64 (log.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 (log.f64 x) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (/.f64 (log.f64 x) x)))))))) |
| 1× | egg-herbie |
| 1149× | fma-neg_binary64 |
| 715× | div-sub_binary64 |
| 504× | distribute-rgt-in_binary64 |
| 372× | associate-/l*_binary64 |
| 364× | distribute-lft-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 224 |
| 1 | 56 | 168 |
| 2 | 119 | 168 |
| 3 | 285 | 168 |
| 4 | 696 | 168 |
| 5 | 2144 | 168 |
| 6 | 4071 | 168 |
| 7 | 5648 | 168 |
| 8 | 6239 | 168 |
| 9 | 6643 | 168 |
| 10 | 7219 | 168 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x)) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) |
(+.f64 (log.f64 (log.f64 x)) (*.f64 -1 (log.f64 x))) |
(+.f64 (log.f64 (log.f64 x)) (*.f64 -1 (log.f64 x))) |
(+.f64 (log.f64 (log.f64 x)) (*.f64 -1 (log.f64 x))) |
(+.f64 (log.f64 (log.f64 x)) (*.f64 -1 (log.f64 x))) |
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))) |
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))) |
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))) |
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))) |
(+.f64 (log.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (log.f64 (/.f64 -1 x))) |
(+.f64 (log.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (log.f64 (/.f64 -1 x))) |
(+.f64 (log.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (log.f64 (/.f64 -1 x))) |
(+.f64 (log.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (log.f64 (/.f64 -1 x))) |
| Outputs |
|---|
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x)) |
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) x) |
(/.f64 (log.f64 x) x) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x)) |
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) x) |
(/.f64 (log.f64 x) x) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x)) |
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) x) |
(/.f64 (log.f64 x) x) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x)) |
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) x) |
(/.f64 (log.f64 x) x) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) |
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) x) |
(/.f64 (log.f64 x) x) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) |
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) x) |
(/.f64 (log.f64 x) x) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) |
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) x) |
(/.f64 (log.f64 x) x) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) |
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) x) |
(/.f64 (log.f64 x) x) |
(+.f64 (log.f64 (log.f64 x)) (*.f64 -1 (log.f64 x))) |
(+.f64 (neg.f64 (log.f64 x)) (log.f64 (log.f64 x))) |
(-.f64 (log.f64 (log.f64 x)) (log.f64 x)) |
(+.f64 (log.f64 (log.f64 x)) (*.f64 -1 (log.f64 x))) |
(+.f64 (neg.f64 (log.f64 x)) (log.f64 (log.f64 x))) |
(-.f64 (log.f64 (log.f64 x)) (log.f64 x)) |
(+.f64 (log.f64 (log.f64 x)) (*.f64 -1 (log.f64 x))) |
(+.f64 (neg.f64 (log.f64 x)) (log.f64 (log.f64 x))) |
(-.f64 (log.f64 (log.f64 x)) (log.f64 x)) |
(+.f64 (log.f64 (log.f64 x)) (*.f64 -1 (log.f64 x))) |
(+.f64 (neg.f64 (log.f64 x)) (log.f64 (log.f64 x))) |
(-.f64 (log.f64 (log.f64 x)) (log.f64 x)) |
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))) |
(+.f64 (neg.f64 (log.f64 x)) (log.f64 (log.f64 x))) |
(-.f64 (log.f64 (log.f64 x)) (log.f64 x)) |
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))) |
(+.f64 (neg.f64 (log.f64 x)) (log.f64 (log.f64 x))) |
(-.f64 (log.f64 (log.f64 x)) (log.f64 x)) |
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))) |
(+.f64 (neg.f64 (log.f64 x)) (log.f64 (log.f64 x))) |
(-.f64 (log.f64 (log.f64 x)) (log.f64 x)) |
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))) |
(+.f64 (neg.f64 (log.f64 x)) (log.f64 (log.f64 x))) |
(-.f64 (log.f64 (log.f64 x)) (log.f64 x)) |
(+.f64 (log.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (log.f64 (/.f64 -1 x))) |
(+.f64 (neg.f64 (log.f64 x)) (log.f64 (log.f64 x))) |
(-.f64 (log.f64 (log.f64 x)) (log.f64 x)) |
(+.f64 (log.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (log.f64 (/.f64 -1 x))) |
(+.f64 (neg.f64 (log.f64 x)) (log.f64 (log.f64 x))) |
(-.f64 (log.f64 (log.f64 x)) (log.f64 x)) |
(+.f64 (log.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (log.f64 (/.f64 -1 x))) |
(+.f64 (neg.f64 (log.f64 x)) (log.f64 (log.f64 x))) |
(-.f64 (log.f64 (log.f64 x)) (log.f64 x)) |
(+.f64 (log.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (log.f64 (/.f64 -1 x))) |
(+.f64 (neg.f64 (log.f64 x)) (log.f64 (log.f64 x))) |
(-.f64 (log.f64 (log.f64 x)) (log.f64 x)) |
1 alts after pruning (0 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 65 | 0 | 65 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 65 | 1 | 66 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0b | (neg.f64 (log.f64 (/.f64 (log.f64 x) x))) |
Compiled 740 to 350 computations (52.7% saved)
Total -1.6b remaining (-∞%)
Threshold costs -1.6b (-∞%)
| Inputs |
|---|
(neg.f64 (log.f64 (/.f64 (log.f64 x) x))) |
(log.f64 (/.f64 x (log.f64 x))) |
(*.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))))))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
| Outputs |
|---|
(neg.f64 (log.f64 (/.f64 (log.f64 x) x))) |
| 6.0ms | 0b | x |
| 4.0ms | 0b | (-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
| 4.0ms | 0b | (log.f64 x) |
Compiled 57 to 30 computations (47.4% saved)
| 1× | egg-herbie |
| 1× | +-commutative_binary64 |
| 1× | *-commutative_binary64 |
| 1× | sub-neg_binary64 |
| 1× | neg-sub0_binary64 |
| 1× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 10 |
| 1 | 10 | 10 |
| 2 | 12 | 10 |
| 3 | 13 | 10 |
| 1× | saturated |
| Inputs |
|---|
(neg.f64 (log.f64 (/.f64 (log.f64 x) x))) |
| Outputs |
|---|
(neg.f64 (log.f64 (/.f64 (log.f64 x) x))) |
| 1× | done |
Compiled 14 to 10 computations (28.6% saved)
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