Time bar (total: 9.6s)
| 8.0ms | 256× | body | 80 | valid |
Useful iterations: 2 (5.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 12 |
| 1 | 14 | 11 |
| 2 | 24 | 10 |
| 3 | 30 | 10 |
| done | 30 | 10 |
1 alts after pruning (1 fresh and 0 done)
Merged error: 35.6b
Found 2 expressions with local error:
| 0.0b | (+ (+ (* x x) (* y y)) (* z z)) |
| 33.0b | (sqrt (+ (+ (* x x) (* y y)) (* z z))) |
| 7× | add-log-exp |
| 6× | add-sqr-sqrt |
| 4× | add-cube-cbrt *-un-lft-identity |
| 3× | pow1 fma-def sum-log sqrt-prod |
| 2× | add-exp-log expm1-log1p-u flip3-+ sqrt-div add-cbrt-cube flip-+ log1p-expm1-u |
| 1× | +-commutative rem-sqrt-square associate-+l+ sqrt-pow1 pow1/2 hypot-def |
| 14.0ms | (+ (+ (* x x) (* y y)) (* z z)) |
| 19.0ms | (sqrt (+ (+ (* x x) (* y y)) (* z z))) |
| 42.0ms | (+ (+ (* x x) (* y y)) (* z z)) |
| 113.0ms | (sqrt (+ (+ (* x x) (* y y)) (* z z))) |
Useful iterations: 3 (284.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 626 |
| 1 | 153 | 534 |
| 2 | 631 | 462 |
| 3 | 2597 | 450 |
| done | 5001 | 450 |
5 alts after pruning (5 fresh and 0 done)
Merged error: 13.6b
Found 2 expressions with local error:
| 0.0b | (hypot (sqrt (+ (* x x) (* y y))) z) |
| 29.2b | (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) |
| 4.0ms | (sqrt (+ (* x x) (* y y))) |
| 195.0ms | (hypot (sqrt (+ (* x x) (* y y))) z) |
| 47.0ms | (sqrt (+ (* x x) (* y y))) |
Useful iterations: 3 (89.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 389 |
| 1 | 115 | 220 |
| 2 | 274 | 194 |
| 3 | 638 | 188 |
| 4 | 1416 | 188 |
| 5 | 4118 | 188 |
| done | 5001 | 188 |
2 alts after pruning (2 fresh and 0 done)
Merged error: 0b
Found 2 expressions with local error:
| 0.0b | (hypot x y) |
| 0.0b | (hypot (* 1 (hypot x y)) z) |
| 2× | 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 x y) |
| 0.0ms | (hypot (* 1 (hypot x y)) z) |
| 50.0ms | (hypot x y) |
| 212.0ms | (hypot (* 1 (hypot x y)) z) |
Useful iterations: 2 (17.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 176 |
| 1 | 50 | 144 |
| 2 | 74 | 128 |
| 3 | 105 | 128 |
| 4 | 193 | 128 |
| 5 | 808 | 128 |
| done | 5001 | 128 |
2 alts after pruning (1 fresh and 1 done)
Merged error: 0b
Found 4 expressions with local error:
| 0.0b | (hypot x y) |
| 0.0b | (hypot (hypot x y) z) |
| 0.0b | (hypot (hypot x y) z) |
| 0.5b | (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z))) |
| 24× | add-sqr-sqrt |
| 19× | pow1 |
| 18× | sqrt-prod |
| 12× | add-cube-cbrt *-un-lft-identity |
| 8× | sqrt-pow1 pow1/2 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× | hypot-udef pow-prod-down pow-sqr |
| 1× | pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod |
| 0.0ms | (hypot x y) |
| 0.0ms | (hypot (hypot x y) z) |
| 0.0ms | (hypot (hypot x y) z) |
| 7.0ms | (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z))) |
| 53.0ms | (hypot x y) |
| 204.0ms | (hypot (hypot x y) z) |
| 196.0ms | (hypot (hypot x y) z) |
| 204.0ms | (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z))) |
Useful iterations: 3 (325.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 1082 |
| 1 | 117 | 693 |
| 2 | 337 | 611 |
| 3 | 1642 | 584 |
| done | 5000 | 584 |
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: 1 (1.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 7 |
| 1 | 10 | 5 |
| 2 | 12 | 5 |
| done | 12 | 5 |
| 239.0ms | 8000× | body | 80 | valid |