Time bar (total: 4.2s)
| 11.0ms | 205× | body | 80 | valid |
| 8.0ms | 29× | body | 2560 | valid |
| 7.0ms | 28× | body | 1280 | valid |
| 5.0ms | 94× | body | 80 | nan |
| 2.0ms | 12× | body | 640 | valid |
| 1.0ms | 3× | body | 5120 | valid |
| 1.0ms | 5× | body | 320 | valid |
| 0.0ms | 4× | body | 160 | valid |
Useful iterations: 0 (2.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 9 |
| 1 | 45 | 9 |
| 2 | 79 | 9 |
| 3 | 97 | 9 |
| 4 | 105 | 9 |
| 5 | 105 | 9 |
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: 34.0b
Found 4 expressions with local error:
| 0.1b | (/ (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a)) |
| 0.6b | (- (* b b) (* (* 4.0 a) c)) |
| 0.8b | (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) |
| 22.0b | (sqrt (- (* b b) (* (* 4.0 a) c))) |
| 19× | *-un-lft-identity |
| 10× | add-log-exp |
| 9× | add-exp-log add-cbrt-cube |
| 8× | add-sqr-sqrt |
| 7× | add-cube-cbrt |
| 6× | distribute-lft-out |
| 5× | pow1 times-frac associate-/l* |
| 3× | distribute-rgt-neg-in sqrt-prod |
| 2× | cbrt-undiv neg-sub0 associate-+l- flip3-- flip3-+ sqrt-div div-exp sum-log flip-- flip-+ associate-/l/ |
| 1× | +-commutative sub-neg rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 diff-log div-sub neg-log prod-exp clear-num associate-/r* cbrt-unprod div-inv |
| 17.0ms | (/ (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a)) |
| 4.0ms | (- (* b b) (* (* 4.0 a) c)) |
| 9.0ms | (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) |
| 4.0ms | (sqrt (- (* b b) (* (* 4.0 a) c))) |
| 131.0ms | (/ (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a)) |
| 57.0ms | (- (* b b) (* (* 4.0 a) c)) |
| 97.0ms | (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) |
| 85.0ms | (sqrt (- (* b b) (* (* 4.0 a) c))) |
Useful iterations: 2 (46.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 405 | 779 |
| 1 | 1563 | 685 |
| 2 | 5001 | 674 |
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 74 | 8 | 82 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 74 | 9 | 83 |
Merged error: 6.0b
Found 4 expressions with local error:
| 0.2b | (/ 1 (/ (* 2.0 a) (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))) |
| 0.6b | (- (* b b) (* (* 4.0 a) c)) |
| 0.8b | (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) |
| 22.0b | (sqrt (- (* b b) (* (* 4.0 a) c))) |
| 53× | times-frac |
| 45× | *-un-lft-identity |
| 26× | add-sqr-sqrt |
| 25× | add-exp-log add-cube-cbrt |
| 13× | add-cbrt-cube |
| 12× | div-exp |
| 11× | associate-/r* |
| 10× | distribute-lft-out add-log-exp |
| 9× | associate-/r/ |
| 6× | pow1 |
| 5× | cbrt-undiv distribute-rgt-neg-in flip3-+ flip-+ div-inv |
| 3× | rec-exp 1-exp prod-exp sqrt-prod associate-/l* |
| 2× | flip3-- sqrt-div sum-log flip-- |
| 1× | +-commutative neg-sub0 associate-+l- sub-neg rem-sqrt-square pow-flip frac-2neg sqrt-pow1 pow1/2 diff-log neg-log clear-num cbrt-unprod inv-pow |
| 15.0ms | (/ 1 (/ (* 2.0 a) (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))) |
| 4.0ms | (- (* b b) (* (* 4.0 a) c)) |
| 9.0ms | (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) |
| 4.0ms | (sqrt (- (* b b) (* (* 4.0 a) c))) |
| 173.0ms | (/ 1 (/ (* 2.0 a) (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))) |
| 59.0ms | (- (* b b) (* (* 4.0 a) c)) |
| 98.0ms | (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) |
| 90.0ms | (sqrt (- (* b b) (* (* 4.0 a) c))) |
Useful iterations: 2 (63.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 525 | 1586 |
| 1 | 2570 | 1373 |
| 2 | 5001 | 1306 |
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 123 | 3 | 126 |
| Fresh | 2 | 5 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 0 | 1 |
| Total | 126 | 9 | 135 |
Merged error: 5.9b
Found 4 expressions with local error:
| 1.0b | (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) |
| 4.3b | (/ (/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a)) |
| 9.8b | (/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) |
| 22.0b | (sqrt (- (* b b) (* (* 4.0 a) c))) |
| 90× | times-frac |
| 84× | add-sqr-sqrt |
| 83× | *-un-lft-identity |
| 39× | add-cube-cbrt |
| 30× | associate-/l* |
| 22× | distribute-lft-out-- difference-of-squares |
| 18× | add-exp-log add-cbrt-cube |
| 14× | sqrt-prod |
| 11× | distribute-rgt-neg-in |
| 8× | associate-/r* add-log-exp |
| 7× | cbrt-undiv div-exp |
| 6× | associate-/r/ |
| 5× | pow1 flip3-- flip-- |
| 4× | div-inv |
| 3× | associate-/l/ |
| 2× | frac-2neg sqrt-div diff-log prod-exp clear-num cbrt-unprod |
| 1× | associate--l- neg-sub0 sub-neg rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 neg-log flip-+ |
| 9.0ms | (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) |
| 22.0ms | (/ (/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a)) |
| 14.0ms | (/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) |
| 4.0ms | (sqrt (- (* b b) (* (* 4.0 a) c))) |
| 92.0ms | (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) |
| 173.0ms | (/ (/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a)) |
| 218.0ms | (/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) |
| 89.0ms | (sqrt (- (* b b) (* (* 4.0 a) c))) |
Useful iterations: 2 (101.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 651 | 2692 |
| 1 | 3101 | 2439 |
| 2 | 5001 | 2426 |
9 alts after pruning (7 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 164 | 2 | 166 |
| Fresh | 2 | 5 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 166 | 9 | 175 |
Merged error: 5.9b
Found 4 expressions with local error:
| 1.0b | (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) |
| 1.1b | (/ 2.0 (* a c)) |
| 16.5b | (* (/ 4.0 (/ 2.0 (* a c))) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) a)) |
| 22.0b | (sqrt (- (* b b) (* (* 4.0 a) c))) |
| 191× | times-frac |
| 151× | add-sqr-sqrt |
| 124× | *-un-lft-identity |
| 99× | add-exp-log |
| 85× | associate-*r* |
| 82× | add-cube-cbrt |
| 63× | add-cbrt-cube |
| 51× | div-exp |
| 29× | cbrt-undiv |
| 26× | associate-*l* prod-exp |
| 20× | distribute-lft-out-- difference-of-squares |
| 16× | cbrt-unprod |
| 13× | sqrt-prod |
| 10× | distribute-rgt-neg-in |
| 9× | div-inv |
| 8× | add-log-exp unswap-sqr |
| 7× | pow1 associate-/r/ |
| 5× | flip3-- flip-- |
| 4× | rec-exp 1-exp |
| 3× | associate-/l* |
| 2× | sqrt-div diff-log |
| 1× | associate--l- neg-sub0 frac-times sub-neg rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 associate-*r/ pow-prod-down neg-log associate-*l/ clear-num associate-/r* *-commutative |
| 9.0ms | (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) |
| 5.0ms | (/ 2.0 (* a c)) |
| 62.0ms | (* (/ 4.0 (/ 2.0 (* a c))) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) a)) |
| 4.0ms | (sqrt (- (* b b) (* (* 4.0 a) c))) |
| 95.0ms | (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) |
| 25.0ms | (/ 2.0 (* a c)) |
| 181.0ms | (* (/ 4.0 (/ 2.0 (* a c))) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) a)) |
| 88.0ms | (sqrt (- (* b b) (* (* 4.0 a) c))) |
Useful iterations: 1 (34.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1333 | 3208 |
| 1 | 5001 | 2733 |
9 alts after pruning (6 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 229 | 0 | 229 |
| Fresh | 0 | 6 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 229 | 9 | 238 |
Merged error: 5.9b
Loading profile data...