Time bar (total: 11.3s)
| 17.0ms | 43× | body | 2560 | valid |
| 13.0ms | 176× | body | 80 | valid |
| 11.0ms | 31× | body | 1280 | valid |
| 7.0ms | 106× | body | 80 | nan |
| 5.0ms | 18× | body | 640 | valid |
| 3.0ms | 4× | body | 5120 | valid |
| 2.0ms | 7× | body | 320 | valid |
| 0.0ms | 4× | body | 160 | valid |
Useful iterations: 2 (16.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 17 |
| 1 | 24 | 17 |
| 2 | 44 | 16 |
| 3 | 78 | 16 |
| 4 | 91 | 16 |
| 5 | 99 | 16 |
| done | 99 | 16 |
1 alts after pruning (1 fresh and 0 done)
Merged error: 37.8b
Found 4 expressions with local error:
| 0.1b | (/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* 2.0 a)) |
| 0.8b | (- (* b b) (* 4.0 (* a c))) |
| 1.4b | (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) |
| 24.7b | (sqrt (- (* b b) (* 4.0 (* a c)))) |
| 20× | add-sqr-sqrt |
| 13× | *-un-lft-identity |
| 9× | add-exp-log add-cbrt-cube |
| 8× | add-log-exp |
| 7× | add-cube-cbrt |
| 6× | times-frac sqrt-prod associate-/l* difference-of-squares |
| 5× | pow1 |
| 4× | flip3-- flip-- |
| 3× | distribute-lft-out-- |
| 2× | cbrt-undiv sub-neg sqrt-div diff-log div-exp associate-/l/ |
| 1× | rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-sub prod-exp clear-num associate-/r* cbrt-unprod div-inv |
| 102.0ms | (/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* 2.0 a)) |
| 9.0ms | (- (* b b) (* 4.0 (* a c))) |
| 62.0ms | (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) |
| 9.0ms | (sqrt (- (* b b) (* 4.0 (* a c)))) |
| 137.0ms | (/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* 2.0 a)) |
| 73.0ms | (- (* b b) (* 4.0 (* a c))) |
| 124.0ms | (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) |
| 104.0ms | (sqrt (- (* b b) (* 4.0 (* a c)))) |
Useful iterations: 3 (1.7s)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 152 | 1592 |
| 1 | 385 | 1488 |
| 2 | 1204 | 1332 |
| 3 | 4431 | 1324 |
| done | 5000 | 1324 |
8 alts after pruning (8 fresh and 0 done)
Merged error: 5.3b
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| done | 0 | 0 |
8 alts after pruning (7 fresh and 1 done)
Merged error: 5.3b
Found 4 expressions with local error:
| 0.2b | (/ 1 (/ (* 2.0 a) (- (sqrt (- (* b b) (* 4.0 (* a c)))) b))) |
| 0.8b | (- (* b b) (* 4.0 (* a c))) |
| 1.4b | (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) |
| 24.7b | (sqrt (- (* b b) (* 4.0 (* a c)))) |
| 60× | times-frac |
| 47× | add-sqr-sqrt |
| 36× | *-un-lft-identity |
| 26× | add-cube-cbrt |
| 25× | add-exp-log |
| 13× | add-cbrt-cube |
| 12× | div-exp associate-/r* |
| 10× | difference-of-squares |
| 9× | associate-/r/ |
| 8× | sqrt-prod add-log-exp |
| 7× | flip3-- flip-- |
| 6× | pow1 |
| 5× | cbrt-undiv div-inv distribute-lft-out-- |
| 3× | rec-exp 1-exp prod-exp associate-/l* |
| 2× | sub-neg sqrt-div diff-log |
| 1× | rem-sqrt-square pow-flip frac-2neg sqrt-pow1 pow1/2 clear-num cbrt-unprod inv-pow |
| 105.0ms | (/ 1 (/ (* 2.0 a) (- (sqrt (- (* b b) (* 4.0 (* a c)))) b))) |
| 18.0ms | (- (* b b) (* 4.0 (* a c))) |
| 81.0ms | (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) |
| 11.0ms | (sqrt (- (* b b) (* 4.0 (* a c)))) |
| 219.0ms | (/ 1 (/ (* 2.0 a) (- (sqrt (- (* b b) (* 4.0 (* a c)))) b))) |
| 61.0ms | (- (* b b) (* 4.0 (* a c))) |
| 147.0ms | (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) |
| 99.0ms | (sqrt (- (* b b) (* 4.0 (* a c)))) |
Useful iterations: done (1.3s)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 218 | 3137 |
| 1 | 494 | 2801 |
| 2 | 1432 | 2561 |
| done | 5000 | 2481 |
7 alts after pruning (5 fresh and 2 done)
Merged error: 5.2b
Found 1 expressions with local error:
| 0.0b | (- (/ c b) (/ b a)) |
| 13× | add-sqr-sqrt |
| 7× | *-un-lft-identity |
| 6× | times-frac |
| 4× | difference-of-squares |
| 3× | add-log-exp |
| 2× | distribute-lft-out-- |
| 1× | pow1 add-exp-log add-cube-cbrt sub-neg flip3-- diff-log frac-sub add-cbrt-cube flip-- |
| 32.0ms | (- (/ c b) (/ b a)) |
| 38.0ms | (- (/ c b) (/ b a)) |
Useful iterations: 5 (1.9s)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 278 |
| 1 | 105 | 273 |
| 2 | 230 | 259 |
| 3 | 528 | 259 |
| 4 | 1400 | 259 |
| 5 | 4344 | 257 |
| done | 5000 | 257 |
9 alts after pruning (6 fresh and 3 done)
Merged error: 5.2b