Time bar (total: 2.9s)
| 8.0ms | 256× | body | 80 | valid |
Useful iterations: 0 (3.0ms)
| 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: 39.9b
Found 3 expressions with local error:
| 0.0b | (+ (+ (* x x) (* y y)) (* z z)) |
| 0.0b | (+ (* x x) (* y y)) |
| 36.9b | (sqrt (+ (+ (* x x) (* y y)) (* z z))) |
| 10× | add-log-exp |
| 7× | add-sqr-sqrt |
| 5× | add-cube-cbrt *-un-lft-identity |
| 4× | pow1 fma-def sum-log |
| 3× | add-exp-log expm1-log1p-u flip3-+ sqrt-prod add-cbrt-cube flip-+ log1p-expm1-u |
| 2× | +-commutative sqrt-div |
| 1× | rem-sqrt-square associate-+l+ sqrt-pow1 pow1/2 hypot-def |
| 6.0ms | (+ (+ (* x x) (* y y)) (* z z)) |
| 4.0ms | (+ (* x x) (* y y)) |
| 6.0ms | (sqrt (+ (+ (* x x) (* y y)) (* z z))) |
| 42.0ms | (+ (+ (* x x) (* y y)) (* z z)) |
| 35.0ms | (+ (* x x) (* y y)) |
| 118.0ms | (sqrt (+ (+ (* x x) (* y y)) (* z z))) |
Useful iterations: 3 (109.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 225 | 355 |
| 1 | 1043 | 323 |
| 2 | 3749 | 312 |
| 3 | 5001 | 309 |
5 alts after pruning (5 fresh and 0 done)
Merged error: 16.7b
Found 3 expressions with local error:
| 0.0b | (+ (* x x) (* y y)) |
| 0.0b | (hypot (sqrt (+ (* x x) (* y y))) z) |
| 35.0b | (sqrt (+ (* x x) (* y y))) |
| 5× | add-sqr-sqrt add-log-exp |
| 4× | pow1 add-cube-cbrt *-un-lft-identity |
| 3× | add-exp-log expm1-log1p-u sqrt-prod add-cbrt-cube log1p-expm1-u |
| 2× | flip3-+ sqrt-div flip-+ |
| 1× | +-commutative rem-sqrt-square hypot-udef fma-def sqrt-pow1 pow1/2 sum-log hypot-def |
| 4.0ms | (+ (* x x) (* y y)) |
| 1.0ms | (hypot (sqrt (+ (* x x) (* y y))) z) |
| 4.0ms | (sqrt (+ (* x x) (* y y))) |
| 31.0ms | (+ (* x x) (* y y)) |
| 188.0ms | (hypot (sqrt (+ (* x x) (* y y))) z) |
| 41.0ms | (sqrt (+ (* x x) (* y y))) |
Useful iterations: 3 (69.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 152 | 254 |
| 1 | 617 | 227 |
| 2 | 1802 | 223 |
| 3 | 5002 | 221 |
2 alts after pruning (2 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 |
| 1.0ms | (hypot (hypot x y) z) |
| 217.0ms | (hypot (hypot x y) z) |
Useful iterations: 1 (5.0ms)
| 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: 0.0b
Found 3 expressions with local error:
| 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))) |
| 23× | add-sqr-sqrt |
| 18× | pow1 sqrt-prod |
| 11× | add-cube-cbrt *-un-lft-identity |
| 8× | sqrt-pow1 pow1/2 swap-sqr |
| 6× | associate-*r* associate-*l* |
| 5× | add-exp-log pow-prod-up add-cbrt-cube |
| 4× | unswap-sqr |
| 3× | expm1-log1p-u pow-prod-down pow-sqr log1p-expm1-u add-log-exp |
| 2× | hypot-udef |
| 1× | pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod |
| 1.0ms | (hypot (hypot x y) z) |
| 1.0ms | (hypot (hypot x y) z) |
| 7.0ms | (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z))) |
| 211.0ms | (hypot (hypot x y) z) |
| 211.0ms | (hypot (hypot x y) z) |
| 211.0ms | (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z))) |
Useful iterations: 3 (117.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 104 | 318 |
| 1 | 375 | 275 |
| 2 | 2208 | 261 |
| 3 | 5001 | 248 |
2 alts after pruning (0 fresh and 2 done)
Merged error: 0.0b
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 |
| 256.0ms | 8000× | body | 80 | valid |