Time bar (total: 6.6s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.8% | 0.2% | 0 |
| 0% | 99.8% | 0.2% | 1 |
| 0% | 99.8% | 0.2% | 2 |
| 49.9% | 49.9% | 0.2% | 3 |
| 49.9% | 49.9% | 0.2% | 4 |
| 49.9% | 49.9% | 0.2% | 5 |
| 49.9% | 49.9% | 0.2% | 6 |
| 74.9% | 25% | 0.2% | 7 |
| 74.9% | 25% | 0.2% | 8 |
| 74.9% | 25% | 0.2% | 9 |
| 74.9% | 25% | 0.2% | 10 |
| 87.3% | 12.5% | 0.2% | 11 |
| 87.3% | 12.5% | 0.2% | 12 |
| 87.3% | 12.5% | 0.2% | 13 |
| 87.3% | 12.5% | 0.2% | 14 |
| 1× | intervals |
| 39.0ms | 191× | body | 80 | valid |
| 25.0ms | 22× | body | 1280 | valid |
| 17.0ms | 20× | body | 640 | valid |
| 10.0ms | 17× | body | 320 | valid |
| 2.0ms | 6× | body | 160 | valid |
| 1× | egg-herbie |
Useful iterations: 0 (66.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4882 | 29 |
| 1 | 4882 | 29 |
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: 1.5b
Found 4 expressions with local error:
| 0.2b | (pow (sin ky) 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)))))) |
| 3.2b | (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) |
| 10.4b | (sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) |
| 1× | rewrite-expression-head |
| 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 |
4 calls:
| 14.0ms | (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) |
| 6.0ms | (/ 1.0 (sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))) |
| 4.0ms | (sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) |
| 3.0ms | (pow (sin ky) 2.0) |
4 calls:
| 167.0ms | (/ 1.0 (sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))) |
| 138.0ms | (sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) |
| 110.0ms | (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) |
| 20.0ms | (pow (sin ky) 2.0) |
| 1× | egg-herbie |
Useful iterations: 0 (49.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4958 | 2674 |
| 1 | 4958 | 2674 |
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 120 | 2 | 122 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 121 | 2 | 123 |
Merged error: 0.8b
Found 4 expressions with local error:
| 0.5b | (* (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (pow (/ (* 2.0 l) Om) (/ 2.0 2))) |
| 3.9b | (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) |
| 3.9b | (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) |
| 10.4b | (sqrt (+ 1.0 (* (* (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (pow (/ (* 2.0 l) Om) (/ 2.0 2))) (* (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (pow (/ (* 2.0 l) Om) (/ 2.0 2)))))) |
| 1× | rewrite-expression-head |
| 25× | add-sqr-sqrt |
| 24× | *-un-lft-identity |
| 21× | sqrt-prod |
| 16× | add-exp-log |
| 15× | unpow-prod-down |
| 12× | add-cube-cbrt |
| 11× | associate-*r* |
| 8× | sqrt-div associate-*l* |
| 7× | pow1 |
| 6× | prod-exp add-cbrt-cube distribute-lft-out unswap-sqr |
| 4× | flip3-+ flip-+ add-log-exp |
| 3× | rem-sqrt-square sqrt-pow1 times-frac pow1/2 pow-exp sqr-pow |
| 2× | div-exp associate-*l/ |
| 1× | pow-to-exp *-commutative cbrt-unprod div-inv |
4 calls:
| 15.0ms | (* (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (pow (/ (* 2.0 l) Om) (/ 2.0 2))) |
| 7.0ms | (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) |
| 7.0ms | (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) |
| 5.0ms | (sqrt (+ 1.0 (* (* (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (pow (/ (* 2.0 l) Om) (/ 2.0 2))) (* (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (pow (/ (* 2.0 l) Om) (/ 2.0 2)))))) |
4 calls:
| 173.0ms | (sqrt (+ 1.0 (* (* (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (pow (/ (* 2.0 l) Om) (/ 2.0 2))) (* (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (pow (/ (* 2.0 l) Om) (/ 2.0 2)))))) |
| 104.0ms | (* (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (pow (/ (* 2.0 l) Om) (/ 2.0 2))) |
| 21.0ms | (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) |
| 19.0ms | (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) |
| 1× | egg-herbie |
Useful iterations: 0 (42.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4937 | 1970 |
| 1 | 4937 | 1970 |
2 alts after pruning (1 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 102 | 0 | 102 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 102 | 2 | 104 |
Merged error: 0.8b
| 1× | rewrite-expression-head |
| 1× | egg-herbie |
Useful iterations: 0 (1.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
2 alts after pruning (0 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 0 | 2 | 2 |
Merged error: 0.8b
Total 0.1b remaining (12.1%)
Threshold costs 0.1b (12.1%)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 53 |
| 1 | 32 | 53 |
| 1× | intervals |
| 1.2s | 6168× | body | 80 | valid |
| 665.0ms | 550× | body | 1280 | valid |
| 586.0ms | 677× | body | 640 | valid |
| 266.0ms | 405× | body | 320 | valid |
| 84.0ms | 200× | body | 160 | valid |
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