Time bar (total: 1.9s)
| 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 |
| 25% | 0% | 75% | 13 |
| 25% | 0% | 75% | 14 |
Compiled 8 to 5 computations (37.5% saved)
| 756.0ms | 8256× | body | 128 | valid |
| 0.0ms | 6× | body | 128 | invalid |
Compiled 16 to 10 computations (37.5% saved)
| 2× | egg-herbie |
| 1835× | fma-neg_binary64 |
| 684× | fma-def_binary64 |
| 317× | unsub-neg_binary64 |
| 293× | distribute-rgt-in_binary64 |
| 245× | distribute-neg-in_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 |
| 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 |
| 1835× | fma-neg_binary64 |
| 684× | fma-def_binary64 |
| 317× | unsub-neg_binary64 |
| 293× | distribute-rgt-in_binary64 |
| 245× | distribute-neg-in_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 |
| 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 | |
|---|---|---|---|---|
| 103.0ms | x | @ | -inf | (-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
| 93.0ms | x | @ | -inf | (log.f64 (log.f64 x)) |
| 91.0ms | x | @ | inf | (-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
| 83.0ms | x | @ | 0 | (-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
| 79.0ms | 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 |
| 56× | add-sqr-sqrt_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)))) (cbrt.f64 (pow.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 log.f64 (+.f64 1 (-.f64 (/.f64 x (log.f64 x)) 1)))))) (#(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 (exp.f64 (log1p.f64 (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))) (cbrt.f64 (pow.f64 (log.f64 (log.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.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 |
| 1648× | fma-def_binary64 |
| 625× | fma-neg_binary64 |
| 583× | distribute-rgt-in_binary64 |
| 397× | distribute-lft-in_binary64 |
| 316× | unsub-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 216 |
| 1 | 41 | 136 |
| 2 | 87 | 120 |
| 3 | 256 | 120 |
| 4 | 688 | 120 |
| 5 | 1585 | 120 |
| 6 | 2866 | 120 |
| 7 | 3700 | 120 |
| 8 | 3915 | 120 |
| 9 | 4529 | 120 |
| 10 | 4807 | 120 |
| 11 | 4914 | 120 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 (neg.f64 (log.f64 (/.f64 1 x)))))) |
(*.f64 -1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 (neg.f64 (log.f64 (/.f64 1 x)))))) |
(*.f64 -1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 (neg.f64 (log.f64 (/.f64 1 x)))))) |
(*.f64 -1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 (neg.f64 (log.f64 (/.f64 1 x)))))) |
(-.f64 (log.f64 -1) (+.f64 (log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (log.f64 (/.f64 -1 x)))) |
(-.f64 (log.f64 -1) (+.f64 (log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (log.f64 (/.f64 -1 x)))) |
(-.f64 (log.f64 -1) (+.f64 (log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (log.f64 (/.f64 -1 x)))) |
(-.f64 (log.f64 -1) (+.f64 (log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (log.f64 (/.f64 -1 x)))) |
(log.f64 (neg.f64 (log.f64 (/.f64 1 x)))) |
(log.f64 (neg.f64 (log.f64 (/.f64 1 x)))) |
(log.f64 (neg.f64 (log.f64 (/.f64 1 x)))) |
(log.f64 (neg.f64 (log.f64 (/.f64 1 x)))) |
(log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) |
(log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) |
(log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) |
(log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) |
| Outputs |
|---|
(*.f64 -1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 (neg.f64 (log.f64 (/.f64 1 x)))))) |
(neg.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))) |
(neg.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(*.f64 -1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 (neg.f64 (log.f64 (/.f64 1 x)))))) |
(neg.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))) |
(neg.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(*.f64 -1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 (neg.f64 (log.f64 (/.f64 1 x)))))) |
(neg.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))) |
(neg.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(*.f64 -1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 (neg.f64 (log.f64 (/.f64 1 x)))))) |
(neg.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))) |
(neg.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(-.f64 (log.f64 -1) (+.f64 (log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (log.f64 (/.f64 -1 x)))) |
(neg.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))) |
(neg.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(-.f64 (log.f64 -1) (+.f64 (log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (log.f64 (/.f64 -1 x)))) |
(neg.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))) |
(neg.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(-.f64 (log.f64 -1) (+.f64 (log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (log.f64 (/.f64 -1 x)))) |
(neg.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))) |
(neg.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(-.f64 (log.f64 -1) (+.f64 (log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (log.f64 (/.f64 -1 x)))) |
(neg.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))) |
(neg.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(log.f64 (neg.f64 (log.f64 (/.f64 1 x)))) |
(log.f64 (neg.f64 (neg.f64 (log.f64 x)))) |
(log.f64 (log.f64 x)) |
(log.f64 (neg.f64 (log.f64 (/.f64 1 x)))) |
(log.f64 (neg.f64 (neg.f64 (log.f64 x)))) |
(log.f64 (log.f64 x)) |
(log.f64 (neg.f64 (log.f64 (/.f64 1 x)))) |
(log.f64 (neg.f64 (neg.f64 (log.f64 x)))) |
(log.f64 (log.f64 x)) |
(log.f64 (neg.f64 (log.f64 (/.f64 1 x)))) |
(log.f64 (neg.f64 (neg.f64 (log.f64 x)))) |
(log.f64 (log.f64 x)) |
(log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) |
(log.f64 (neg.f64 (neg.f64 (log.f64 x)))) |
(log.f64 (log.f64 x)) |
(log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) |
(log.f64 (neg.f64 (neg.f64 (log.f64 x)))) |
(log.f64 (log.f64 x)) |
(log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) |
(log.f64 (neg.f64 (neg.f64 (log.f64 x)))) |
(log.f64 (log.f64 x)) |
(log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) |
(log.f64 (neg.f64 (neg.f64 (log.f64 x)))) |
(log.f64 (log.f64 x)) |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 59 | 1 | 60 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 60 | 1 | 61 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0b | (log.f64 (/.f64 x (log.f64 x))) |
Compiled 751 to 283 computations (62.3% 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 | |
|---|---|---|---|---|
| 90.0ms | x | @ | -inf | (log.f64 (/.f64 x (log.f64 x))) |
| 71.0ms | x | @ | inf | (log.f64 (/.f64 x (log.f64 x))) |
| 67.0ms | x | @ | 0 | (log.f64 (/.f64 x (log.f64 x))) |
| 13.0ms | x | @ | -inf | (/.f64 x (log.f64 x)) |
| 13.0ms | x | @ | inf | (/.f64 x (log.f64 x)) |
| 1× | batch-egg-rewrite |
| 515× | pow1_binary64 |
| 476× | add-log-exp_binary64 |
| 476× | log1p-expm1-u_binary64 |
| 476× | expm1-log1p-u_binary64 |
| 466× | add-exp-log_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))) (cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.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 cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (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 (cbrt.f64 (pow.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 |
| 442× | div-sub_binary64 |
| 390× | fma-neg_binary64 |
| 355× | fma-def_binary64 |
| 284× | distribute-rgt-in_binary64 |
| 234× | times-frac_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 224 |
| 1 | 46 | 200 |
| 2 | 88 | 192 |
| 3 | 253 | 168 |
| 4 | 624 | 168 |
| 5 | 1567 | 168 |
| 6 | 4077 | 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 (log.f64 -1) (log.f64 (/.f64 -1 x)))) |
(/.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) |
(/.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) |
(/.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 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 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x)) |
(-.f64 (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x))) |
(-.f64 (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x))) |
(-.f64 (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x))) |
(-.f64 (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x))) |
(-.f64 (log.f64 (/.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (log.f64 (/.f64 -1 x))) |
(-.f64 (log.f64 (/.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (log.f64 (/.f64 -1 x))) |
(-.f64 (log.f64 (/.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (log.f64 (/.f64 -1 x))) |
(-.f64 (log.f64 (/.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (log.f64 (/.f64 -1 x))) |
| 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 (log.f64 -1) (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 (log.f64 -1) (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 (log.f64 -1) (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 (log.f64 -1) (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 (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 (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x)))) (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 (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x)))) (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 (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x)))) (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 (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x)))) (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 (log.f64 (/.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (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 (log.f64 (/.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (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 (log.f64 (/.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (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 (log.f64 (/.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (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))) |
1 alts after pruning (0 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 69 | 0 | 69 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 69 | 1 | 70 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0b | (log.f64 (/.f64 x (log.f64 x))) |
Compiled 710 to 296 computations (58.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0.0b (0%)
Compiled 180 to 111 computations (38.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 8 |
| 1× | saturated |
| Inputs |
|---|
(log.f64 (/.f64 x (log.f64 x))) |
| Outputs |
|---|
(log.f64 (/.f64 x (log.f64 x))) |
| 1× | done |
Compiled 18 to 12 computations (33.3% saved)
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