Time bar (total: 2.9s)
| 11.0ms | 256× | body | 80 | valid |
Useful iterations: 0 (2.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 7 |
| 1 | 22 | 7 |
| 2 | 24 | 7 |
| 3 | 24 | 7 |
1 alts after pruning (1 fresh and 0 done)
Merged error: 37.4b
Found 2 expressions with local error:
| 0.1b | (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0) |
| 34.8b | (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) |
| 20× | add-sqr-sqrt |
| 19× | times-frac |
| 17× | add-cube-cbrt *-un-lft-identity |
| 13× | sqrt-prod |
| 4× | add-exp-log add-cbrt-cube |
| 3× | pow1 associate-/r* associate-/l* |
| 2× | rem-sqrt-square div-inv associate-/l/ add-log-exp |
| 1× | cbrt-undiv frac-2neg sqrt-pow1 flip3-+ pow1/2 sqrt-div div-exp clear-num flip-+ |
| 8.0ms | (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0) |
| 5.0ms | (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) |
| 47.0ms | (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0) |
| 161.0ms | (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) |
Useful iterations: 3 (85.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 214 | 630 |
| 1 | 835 | 578 |
| 2 | 3408 | 576 |
| 3 | 5001 | 574 |
5 alts after pruning (5 fresh and 0 done)
Merged error: 19.5b
Found 2 expressions with local error:
| 0.1b | (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) |
| 34.8b | (sqrt (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2))))) |
| 12× | *-un-lft-identity |
| 7× | pow1 |
| 6× | add-sqr-sqrt associate-*r* |
| 5× | distribute-lft-out |
| 4× | add-exp-log add-cube-cbrt associate-*r/ add-cbrt-cube |
| 3× | unpow-prod-down associate-*l* |
| 2× | sqrt-pow1 flip3-+ sqrt-div pow-prod-down flip-+ add-log-exp |
| 1× | distribute-rgt-in distribute-lft-in pow1/2 prod-exp sqrt-prod *-commutative cbrt-unprod unswap-sqr |
| 13.0ms | (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) |
| 11.0ms | (sqrt (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2))))) |
| 76.0ms | (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) |
| 167.0ms | (sqrt (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2))))) |
Useful iterations: 2 (38.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 211 | 340 |
| 1 | 1120 | 308 |
| 2 | 5002 | 307 |
5 alts after pruning (4 fresh and 1 done)
Merged error: 19.5b
Found 2 expressions with local error:
| 0.4b | (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) |
| 34.7b | (sqrt (+ (+ (* x x) (* y y)) (* z z))) |
| 45× | sqrt-prod |
| 36× | times-frac |
| 32× | add-sqr-sqrt |
| 31× | add-cube-cbrt *-un-lft-identity |
| 6× | associate-/r* associate-/l* |
| 4× | add-exp-log sqrt-div add-cbrt-cube |
| 3× | pow1 |
| 2× | flip3-+ flip-+ associate-/l/ add-log-exp |
| 1× | cbrt-undiv rem-sqrt-square sqrt-undiv frac-2neg sqrt-pow1 pow1/2 div-exp clear-num div-inv |
| 9.0ms | (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) |
| 5.0ms | (sqrt (+ (+ (* x x) (* y y)) (* z z))) |
| 225.0ms | (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) |
| 101.0ms | (sqrt (+ (+ (* x x) (* y y)) (* z z))) |
Useful iterations: 2 (17.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 211 | 1118 |
| 1 | 625 | 1058 |
| 2 | 2289 | 1035 |
| 3 | 5001 | 1035 |
7 alts after pruning (5 fresh and 2 done)
Merged error: 13.9b
Found 1 expressions with local error:
| 0.4b | (/ x (sqrt 3.0)) |
| 18× | times-frac |
| 16× | add-sqr-sqrt add-cube-cbrt *-un-lft-identity |
| 12× | sqrt-prod |
| 6× | associate-/r* |
| 3× | add-exp-log add-cbrt-cube associate-/l* |
| 1× | pow1 cbrt-undiv frac-2neg div-exp clear-num div-inv add-log-exp |
| 4.0ms | (/ x (sqrt 3.0)) |
| 55.0ms | (/ x (sqrt 3.0)) |
Useful iterations: 4 (44.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 103 | 217 |
| 1 | 273 | 207 |
| 2 | 729 | 197 |
| 3 | 2027 | 197 |
| 4 | 5001 | 196 |
14 alts after pruning (11 fresh and 3 done)
Merged error: 13.9b
54.1% (11.6b remaining)
Error of 23.9b against oracle of 12.3b and baseline of 37.5b
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 20 |
| 1 | 37 | 20 |
| 2 | 37 | 20 |
| 262.0ms | 8000× | body | 80 | valid |