Time bar (total: 3.9s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 48.6% | 51.4% | 0 |
| 0% | 48.6% | 51.4% | 1 |
| 24.3% | 24.3% | 51.4% | 2 |
| 24.3% | 24.3% | 51.4% | 3 |
| 30.4% | 18.2% | 51.4% | 4 |
| 30.4% | 18.2% | 51.4% | 5 |
| 33.4% | 15.2% | 51.4% | 6 |
| 33.4% | 15.2% | 51.4% | 7 |
| 34.6% | 14.1% | 51.4% | 8 |
| 34.8% | 13.9% | 51.4% | 9 |
| 35.4% | 13.2% | 51.4% | 10 |
| 35.6% | 13.1% | 51.4% | 11 |
| 35.9% | 12.7% | 51.4% | 12 |
| 36% | 12.6% | 51.4% | 13 |
| 36.2% | 12.4% | 51.4% | 14 |
| 1× | intervals |
| 10.0ms | 193× | body | 80 | valid |
| 9.0ms | 27× | body | 2560 | valid |
| 6.0ms | 22× | body | 1280 | valid |
| 5.0ms | 256× | pre | 80 | true |
| 2.0ms | 9× | body | 640 | valid |
| 1.0ms | 4× | body | 320 | valid |
| 0.0ms | 1× | body | 160 | valid |
| 1× | egg-herbie |
Useful iterations: 0 (3.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 17 |
| 1 | 38 | 17 |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 0 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 1 | 2 |
Merged error: 13.5b
Found 4 expressions with local error:
| 0.0b | (+ (* (* 4.0 p) p) (* x x)) |
| 0.0b | (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) |
| 0.6b | (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) |
| 12.8b | (sqrt (+ (* (* 4.0 p) p) (* x x))) |
| 1× | rewrite-expression-head |
| 22× | *-un-lft-identity |
| 21× | add-sqr-sqrt |
| 20× | add-cube-cbrt |
| 18× | times-frac |
| 15× | sqrt-prod |
| 8× | add-log-exp |
| 6× | add-exp-log associate-/r* add-cbrt-cube |
| 5× | pow1 |
| 4× | flip3-+ sqrt-div flip-+ |
| 3× | associate-/l* |
| 2× | +-commutative sum-log associate-/r/ |
| 1× | cbrt-undiv rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-exp clear-num div-inv distribute-lft-out |
4 calls:
| 13.0ms | (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) |
| 9.0ms | (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) |
| 6.0ms | (+ (* (* 4.0 p) p) (* x x)) |
| 6.0ms | (sqrt (+ (* (* 4.0 p) p) (* x x))) |
4 calls:
| 12.0ms | (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) |
| 9.0ms | (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) |
| 8.0ms | (sqrt (+ (* (* 4.0 p) p) (* x x))) |
| 6.0ms | (+ (* (* 4.0 p) p) (* x x)) |
| 1× | egg-herbie |
Useful iterations: 0 (28.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4994 | 1385 |
| 1 | 4994 | 1385 |
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 80 | 11 | 91 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 81 | 11 | 92 |
Merged error: 13.3b
Found 4 expressions with local error:
| 0.0b | (exp (+ 1.0 (/ x (sqrt (+ (* 4.0 (* p p)) (* x x)))))) |
| 0.6b | (+ 1.0 (/ x (sqrt (+ (* 4.0 (* p p)) (* x x))))) |
| 0.7b | (log (exp (+ 1.0 (/ x (sqrt (+ (* 4.0 (* p p)) (* x x))))))) |
| 12.8b | (sqrt (+ (* 4.0 (* p p)) (* x x))) |
| 1× | rewrite-expression-head |
| 14× | *-un-lft-identity |
| 9× | add-sqr-sqrt add-log-exp |
| 8× | add-cube-cbrt exp-prod |
| 6× | pow1 |
| 5× | log-pow |
| 4× | add-exp-log log-prod add-cbrt-cube |
| 3× | sqrt-prod distribute-lft-out |
| 2× | flip3-+ sqrt-div exp-sum sum-log flip-+ rem-exp-log |
| 1× | +-commutative rem-sqrt-square sqrt-pow1 pow1/2 rem-log-exp |
4 calls:
| 18.0ms | (exp (+ 1.0 (/ x (sqrt (+ (* 4.0 (* p p)) (* x x)))))) |
| 15.0ms | (log (exp (+ 1.0 (/ x (sqrt (+ (* 4.0 (* p p)) (* x x))))))) |
| 14.0ms | (+ 1.0 (/ x (sqrt (+ (* 4.0 (* p p)) (* x x))))) |
| 6.0ms | (sqrt (+ (* 4.0 (* p p)) (* x x))) |
4 calls:
| 21.0ms | (exp (+ 1.0 (/ x (sqrt (+ (* 4.0 (* p p)) (* x x)))))) |
| 12.0ms | (+ 1.0 (/ x (sqrt (+ (* 4.0 (* p p)) (* x x))))) |
| 12.0ms | (log (exp (+ 1.0 (/ x (sqrt (+ (* 4.0 (* p p)) (* x x))))))) |
| 8.0ms | (sqrt (+ (* 4.0 (* p p)) (* x x))) |
| 1× | egg-herbie |
Useful iterations: 0 (59.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5009 | 927 |
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 69 | 1 | 70 |
| Fresh | 0 | 10 | 10 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 70 | 11 | 81 |
Merged error: 13.3b
Found 4 expressions with local error:
| 0.2b | (/ 1 (sqrt (+ (* 4.0 (* p p)) (* x x)))) |
| 0.2b | (* x (/ 1 (sqrt (+ (* 4.0 (* p p)) (* x x))))) |
| 4.8b | (+ 1.0 (* x (/ 1 (sqrt (+ (* 4.0 (* p p)) (* x x)))))) |
| 12.8b | (sqrt (+ (* 4.0 (* p p)) (* x x))) |
| 1× | rewrite-expression-head |
| 47× | add-sqr-sqrt |
| 40× | times-frac |
| 36× | *-un-lft-identity |
| 34× | add-cube-cbrt |
| 26× | sqrt-prod |
| 24× | associate-*r* |
| 17× | add-exp-log |
| 11× | add-cbrt-cube |
| 9× | pow1 |
| 6× | sqrt-div associate-/r* add-log-exp |
| 5× | unswap-sqr |
| 4× | flip3-+ div-exp prod-exp associate-/r/ flip-+ |
| 3× | pow-flip associate-*l* associate-/l* |
| 2× | cbrt-undiv rec-exp sqrt-pow1 pow1/2 1-exp cbrt-unprod div-inv |
| 1× | +-commutative rem-sqrt-square frac-2neg associate-*r/ pow-prod-down clear-num sum-log un-div-inv *-commutative inv-pow |
4 calls:
| 15.0ms | (* x (/ 1 (sqrt (+ (* 4.0 (* p p)) (* x x))))) |
| 9.0ms | (/ 1 (sqrt (+ (* 4.0 (* p p)) (* x x)))) |
| 6.0ms | (sqrt (+ (* 4.0 (* p p)) (* x x))) |
| 3.0ms | (+ 1.0 (* x (/ 1 (sqrt (+ (* 4.0 (* p p)) (* x x)))))) |
4 calls:
| 12.0ms | (+ 1.0 (* x (/ 1 (sqrt (+ (* 4.0 (* p p)) (* x x)))))) |
| 12.0ms | (* x (/ 1 (sqrt (+ (* 4.0 (* p p)) (* x x))))) |
| 9.0ms | (/ 1 (sqrt (+ (* 4.0 (* p p)) (* x x)))) |
| 8.0ms | (sqrt (+ (* 4.0 (* p p)) (* x x))) |
| 1× | egg-herbie |
Useful iterations: 0 (59.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4932 | 1899 |
| 1 | 4932 | 1899 |
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 132 | 2 | 134 |
| Fresh | 2 | 8 | 10 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 135 | 10 | 145 |
Merged error: 13.3b
Found 4 expressions with local error:
| 4.3b | (+ 1.0 (* (* (cbrt x) (/ (cbrt x) (* (cbrt (sqrt (+ (* 4.0 (* p p)) (* x x)))) (cbrt (sqrt (+ (* 4.0 (* p p)) (* x x))))))) (/ (cbrt x) (cbrt (sqrt (+ (* 4.0 (* p p)) (* x x))))))) |
| 12.8b | (sqrt (+ (* 4.0 (* p p)) (* x x))) |
| 12.8b | (sqrt (+ (* 4.0 (* p p)) (* x x))) |
| 12.8b | (sqrt (+ (* 4.0 (* p p)) (* x x))) |
| 1× | rewrite-expression-head |
| 10× | add-sqr-sqrt |
| 9× | sqrt-prod |
| 7× | pow1 add-cube-cbrt *-un-lft-identity |
| 6× | sqrt-div add-log-exp |
| 4× | add-exp-log flip3-+ add-cbrt-cube flip-+ |
| 3× | rem-sqrt-square sqrt-pow1 pow1/2 |
| 1× | +-commutative sum-log |
4 calls:
| 6.0ms | (sqrt (+ (* 4.0 (* p p)) (* x x))) |
| 6.0ms | (sqrt (+ (* 4.0 (* p p)) (* x x))) |
| 6.0ms | (sqrt (+ (* 4.0 (* p p)) (* x x))) |
| 4.0ms | (+ 1.0 (* (* (cbrt x) (/ (cbrt x) (* (cbrt (sqrt (+ (* 4.0 (* p p)) (* x x)))) (cbrt (sqrt (+ (* 4.0 (* p p)) (* x x))))))) (/ (cbrt x) (cbrt (sqrt (+ (* 4.0 (* p p)) (* x x))))))) |
4 calls:
| 17.0ms | (+ 1.0 (* (* (cbrt x) (/ (cbrt x) (* (cbrt (sqrt (+ (* 4.0 (* p p)) (* x x)))) (cbrt (sqrt (+ (* 4.0 (* p p)) (* x x))))))) (/ (cbrt x) (cbrt (sqrt (+ (* 4.0 (* p p)) (* x x))))))) |
| 8.0ms | (sqrt (+ (* 4.0 (* p p)) (* x x))) |
| 8.0ms | (sqrt (+ (* 4.0 (* p p)) (* x x))) |
| 8.0ms | (sqrt (+ (* 4.0 (* p p)) (* x x))) |
| 1× | egg-herbie |
Useful iterations: 0 (27.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5159 | 810 |
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 68 | 0 | 68 |
| Fresh | 0 | 9 | 9 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 68 | 10 | 78 |
Merged error: 13.3b
Total 0.6b remaining (4.5%)
Threshold costs 0.6b (4.5%)
| 1× | egg-herbie |
Useful iterations: 0 (1.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 49 |
| 1 | 26 | 49 |
| 1× | intervals |
| 332.0ms | 6003× | body | 80 | valid |
| 281.0ms | 809× | body | 2560 | valid |
| 171.0ms | 628× | body | 1280 | valid |
| 151.0ms | 8000× | pre | 80 | true |
| 68.0ms | 320× | body | 640 | valid |
| 27.0ms | 171× | body | 320 | valid |
| 7.0ms | 69× | body | 160 | valid |
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