Time bar (total: 7.8s)
| 34.0ms | 202× | body | 80 | valid |
| 23.0ms | 22× | body | 1280 | valid |
| 11.0ms | 15× | body | 640 | valid |
| 8.0ms | 15× | body | 320 | valid |
| 1.0ms | 2× | body | 160 | valid |
Useful iterations: 0 (1.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 16 |
| 1 | 123 | 16 |
| 2 | 294 | 16 |
| 3 | 1083 | 16 |
| 4 | 5001 | 16 |
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 |
Merged error: 1.0b
Found 4 expressions with local error:
| 0.2b | (pow (sin kx) 2.0) |
| 0.3b | (/ 1.0 (sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))) |
| 1.8b | (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) |
| 6.4b | (sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) |
| 32× | add-sqr-sqrt |
| 30× | *-un-lft-identity |
| 26× | add-cube-cbrt |
| 21× | times-frac |
| 19× | add-exp-log |
| 15× | sqrt-prod |
| 13× | unpow-prod-down |
| 11× | associate-*l* |
| 8× | add-cbrt-cube |
| 6× | pow1 prod-exp associate-/r* |
| 5× | associate-*r* |
| 4× | sqrt-div pow-exp add-log-exp |
| 3× | pow-unpow flip3-+ div-exp flip-+ associate-/l* unswap-sqr sqr-pow |
| 2× | pow-to-exp associate-*r/ associate-/r/ div-inv distribute-lft-out |
| 1× | cbrt-undiv distribute-rgt-in rem-sqrt-square pow-pow frac-2neg distribute-lft-in sqrt-pow1 pow1/2 clear-num *-commutative cbrt-unprod |
| 3.0ms | (pow (sin kx) 2.0) |
| 5.0ms | (/ 1.0 (sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))) |
| 14.0ms | (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) |
| 3.0ms | (sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) |
| 18.0ms | (pow (sin kx) 2.0) |
| 162.0ms | (/ 1.0 (sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))) |
| 108.0ms | (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) |
| 132.0ms | (sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) |
Useful iterations: 2 (55.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 593 | 1649 |
| 1 | 2411 | 1544 |
| 2 | 5001 | 1541 |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 121 | 1 | 122 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 122 | 1 | 123 |
Merged error: 0.6b
Found 4 expressions with local error:
| 0.2b | (pow (sin kx) 2.0) |
| 0.3b | (/ 1.0 (sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))) |
| 1.6b | (* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) |
| 6.4b | (sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))) |
| 32× | add-sqr-sqrt |
| 30× | *-un-lft-identity |
| 26× | add-cube-cbrt |
| 21× | times-frac |
| 19× | add-exp-log |
| 15× | sqrt-prod |
| 13× | unpow-prod-down |
| 11× | associate-*l* |
| 8× | add-cbrt-cube |
| 6× | pow1 prod-exp associate-/r* |
| 5× | associate-*r* |
| 4× | sqrt-div pow-exp add-log-exp |
| 3× | pow-unpow flip3-+ div-exp flip-+ associate-/l* unswap-sqr sqr-pow |
| 2× | pow-to-exp associate-*r/ associate-/r/ div-inv distribute-lft-out |
| 1× | cbrt-undiv distribute-rgt-in rem-sqrt-square pow-pow frac-2neg distribute-lft-in sqrt-pow1 pow1/2 clear-num *-commutative cbrt-unprod |
| 3.0ms | (pow (sin kx) 2.0) |
| 5.0ms | (/ 1.0 (sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))) |
| 14.0ms | (* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) |
| 2.0ms | (sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))) |
| 18.0ms | (pow (sin kx) 2.0) |
| 159.0ms | (/ 1.0 (sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))) |
| 105.0ms | (* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) |
| 127.0ms | (sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))) |
Useful iterations: 2 (57.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 616 | 2216 |
| 1 | 2512 | 2048 |
| 2 | 5002 | 2045 |
1 alts after pruning (0 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 122 | 0 | 122 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 122 | 1 | 123 |
Merged error: 0.6b
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 22 |
| 1 | 32 | 22 |
| 1.0s | 6220× | body | 80 | valid |
| 611.0ms | 565× | body | 1280 | valid |
| 476.0ms | 624× | body | 640 | valid |
| 212.0ms | 372× | body | 320 | valid |
| 78.0ms | 219× | body | 160 | valid |
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