Time bar (total: 3.0s)
| 7.0ms | 256× | body | 80 | valid |
Useful iterations: 0 (2.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 6 |
| 1 | 25 | 6 |
| 2 | 31 | 6 |
| 3 | 32 | 6 |
| 4 | 32 | 6 |
1 alts after pruning (1 fresh and 0 done)
Merged error: 38.9b
Found 1 expressions with local error:
| 36.1b | (sqrt (+ (+ (* x x) (* y y)) (* z z))) |
| 4× | add-sqr-sqrt |
| 3× | sqrt-prod |
| 2× | pow1 add-cube-cbrt *-un-lft-identity sqrt-div |
| 1× | add-exp-log expm1-log1p-u rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 add-cbrt-cube flip-+ hypot-def log1p-expm1-u add-log-exp |
| 34.0ms | (sqrt (+ (+ (* x x) (* y y)) (* z z))) |
| 101.0ms | (sqrt (+ (+ (* x x) (* y y)) (* z z))) |
Useful iterations: 1 (6.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 156 |
| 1 | 305 | 148 |
| 2 | 1103 | 148 |
| 3 | 4548 | 148 |
| 4 | 5001 | 148 |
4 alts after pruning (4 fresh and 0 done)
Merged error: 13.1b
Found 2 expressions with local error:
| 0.0b | (hypot (sqrt (+ (* x x) (* y y))) z) |
| 31.9b | (sqrt (+ (* x x) (* y y))) |
| 4× | add-sqr-sqrt |
| 3× | pow1 add-cube-cbrt *-un-lft-identity sqrt-prod |
| 2× | add-exp-log expm1-log1p-u sqrt-div add-cbrt-cube log1p-expm1-u add-log-exp |
| 1× | rem-sqrt-square hypot-udef sqrt-pow1 flip3-+ pow1/2 flip-+ hypot-def |
| 0.0ms | (hypot (sqrt (+ (* x x) (* y y))) z) |
| 8.0ms | (sqrt (+ (* x x) (* y y))) |
| 160.0ms | (hypot (sqrt (+ (* x x) (* y y))) z) |
| 39.0ms | (sqrt (+ (* x x) (* y y))) |
Useful iterations: 1 (6.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 114 | 180 |
| 1 | 282 | 163 |
| 2 | 660 | 163 |
| 3 | 1620 | 163 |
| 4 | 5001 | 163 |
1 alts after pruning (1 fresh and 0 done)
Merged error: 0.0b
Found 1 expressions with local error:
| 0.0b | (hypot (hypot x y) z) |
| 1× | pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt hypot-udef *-un-lft-identity add-cbrt-cube log1p-expm1-u add-log-exp |
| 0.0ms | (hypot (hypot x y) z) |
| 187.0ms | (hypot (hypot x y) z) |
Useful iterations: 1 (4.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 41 |
| 1 | 27 | 36 |
| 2 | 31 | 36 |
| 3 | 36 | 36 |
| 4 | 55 | 36 |
| 5 | 109 | 36 |
| 6 | 515 | 36 |
| 7 | 1689 | 36 |
| 8 | 5001 | 36 |
2 alts after pruning (1 fresh and 1 done)
Merged error: 0b
Found 4 expressions with local error:
| 0.0b | (hypot (hypot x y) z) |
| 0.0b | (sqrt (hypot (hypot x y) z)) |
| 0.0b | (sqrt (hypot (hypot x y) z)) |
| 0.5b | (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z))) |
| 28× | add-sqr-sqrt |
| 24× | sqrt-prod |
| 21× | pow1 |
| 14× | add-cube-cbrt *-un-lft-identity |
| 10× | sqrt-pow1 pow1/2 |
| 8× | swap-sqr |
| 6× | add-exp-log associate-*r* associate-*l* add-cbrt-cube |
| 5× | pow-prod-up |
| 4× | expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr |
| 3× | pow-prod-down pow-sqr |
| 2× | rem-sqrt-square |
| 1× | pow2 hypot-udef pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod |
| 0.0ms | (hypot (hypot x y) z) |
| 1.0ms | (sqrt (hypot (hypot x y) z)) |
| 1.0ms | (sqrt (hypot (hypot x y) z)) |
| 13.0ms | (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z))) |
| 401.0ms | (hypot (hypot x y) z) |
| 262.0ms | (sqrt (hypot (hypot x y) z)) |
| 267.0ms | (sqrt (hypot (hypot x y) z)) |
| 187.0ms | (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z))) |
Useful iterations: 3 (140.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 154 | 439 |
| 1 | 539 | 389 |
| 2 | 3194 | 367 |
| 3 | 5001 | 354 |
2 alts after pruning (0 fresh and 2 done)
Merged error: 0b
0% (0.0b remaining)
Error of 0.0b against oracle of 0.0b and baseline of 0.0b
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 2 |
| 218.0ms | 8000× | body | 80 | valid |