Time bar (total: 5.8s)
| 23.0ms | 308× | body | 80 | nan |
| 13.0ms | 162× | body | 80 | valid |
| 11.0ms | 29× | body | 1280 | valid |
| 9.0ms | 32× | body | 640 | valid |
| 7.0ms | 19× | body | 1280 | nan |
| 4.0ms | 15× | body | 640 | nan |
| 3.0ms | 15× | body | 320 | valid |
| 3.0ms | 11× | body | 320 | nan |
| 3.0ms | 18× | body | 160 | valid |
| 1.0ms | 4× | body | 160 | nan |
Useful iterations: 0 (58.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5000 | 27 |
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: 45.3b
Found 4 expressions with local error:
| 0.0b | (/ (* (sqrt 2.0) t) (sqrt (- (* (/ (+ x 1.0) (- x 1.0)) (+ (* l l) (* 2.0 (* t t)))) (* l l)))) |
| 0.4b | (* (sqrt 2.0) t) |
| 15.4b | (- (* (/ (+ x 1.0) (- x 1.0)) (+ (* l l) (* 2.0 (* t t)))) (* l l)) |
| 22.3b | (sqrt (- (* (/ (+ x 1.0) (- x 1.0)) (+ (* l l) (* 2.0 (* t t)))) (* l l))) |
| 17× | add-sqr-sqrt |
| 13× | sqrt-prod |
| 12× | add-cube-cbrt *-un-lft-identity |
| 11× | add-exp-log add-cbrt-cube |
| 7× | pow1 |
| 6× | times-frac associate-*l* associate-/r* add-log-exp |
| 4× | sqrt-div |
| 3× | flip3-- associate-*r* flip-- |
| 2× | cbrt-undiv div-exp prod-exp associate--l+ associate-/r/ cbrt-unprod unswap-sqr |
| 1× | distribute-rgt-in sub-neg rem-sqrt-square frac-2neg distribute-lft-in sqrt-pow1 pow1/2 diff-log pow-prod-down clear-num *-commutative div-inv associate-/l* |
| 18.0ms | (/ (* (sqrt 2.0) t) (sqrt (- (* (/ (+ x 1.0) (- x 1.0)) (+ (* l l) (* 2.0 (* t t)))) (* l l)))) |
| 5.0ms | (* (sqrt 2.0) t) |
| 14.0ms | (- (* (/ (+ x 1.0) (- x 1.0)) (+ (* l l) (* 2.0 (* t t)))) (* l l)) |
| 14.0ms | (sqrt (- (* (/ (+ x 1.0) (- x 1.0)) (+ (* l l) (* 2.0 (* t t)))) (* l l))) |
| 106.0ms | (/ (* (sqrt 2.0) t) (sqrt (- (* (/ (+ x 1.0) (- x 1.0)) (+ (* l l) (* 2.0 (* t t)))) (* l l)))) |
| 4.0ms | (* (sqrt 2.0) t) |
| 65.0ms | (- (* (/ (+ x 1.0) (- x 1.0)) (+ (* l l) (* 2.0 (* t t)))) (* l l)) |
| 218.0ms | (sqrt (- (* (/ (+ x 1.0) (- x 1.0)) (+ (* l l) (* 2.0 (* t t)))) (* l l))) |
Useful iterations: 0 (16.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5162 | 2027 |
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 87 | 5 | 92 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 89 | 5 | 94 |
Merged error: 3.0b
Found 4 expressions with local error:
| 0.4b | (* (sqrt 2.0) t) |
| 1.0b | (+ (/ l (/ x l)) (* t t)) |
| 4.6b | (+ (* 4.0 (/ t (/ x t))) (* 2.0 (+ (/ l (/ x l)) (* t t)))) |
| 27.1b | (sqrt (+ (* 4.0 (/ t (/ x t))) (* 2.0 (+ (/ l (/ x l)) (* t t))))) |
| 13× | add-sqr-sqrt |
| 8× | add-cube-cbrt *-un-lft-identity associate-*r/ add-log-exp |
| 7× | pow1 sqrt-prod |
| 6× | add-exp-log associate-*l* add-cbrt-cube |
| 5× | flip3-+ flip-+ |
| 4× | sqrt-div frac-add |
| 3× | associate-*r* |
| 2× | +-commutative associate-+r+ sum-log unswap-sqr |
| 1× | distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2 pow-prod-down prod-exp *-commutative cbrt-unprod |
| 5.0ms | (* (sqrt 2.0) t) |
| 14.0ms | (+ (/ l (/ x l)) (* t t)) |
| 14.0ms | (+ (* 4.0 (/ t (/ x t))) (* 2.0 (+ (/ l (/ x l)) (* t t)))) |
| 10.0ms | (sqrt (+ (* 4.0 (/ t (/ x t))) (* 2.0 (+ (/ l (/ x l)) (* t t))))) |
| 5.0ms | (* (sqrt 2.0) t) |
| 10.0ms | (+ (/ l (/ x l)) (* t t)) |
| 16.0ms | (+ (* 4.0 (/ t (/ x t))) (* 2.0 (+ (/ l (/ x l)) (* t t)))) |
| 31.0ms | (sqrt (+ (* 4.0 (/ t (/ x t))) (* 2.0 (+ (/ l (/ x l)) (* t t))))) |
Useful iterations: 0 (14.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5019 | 1365 |
12 alts after pruning (11 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 70 | 7 | 77 |
| Fresh | 0 | 4 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 70 | 12 | 82 |
Merged error: 2.9b
Found 4 expressions with local error:
| 4.6b | (+ (* 4.0 (/ t (/ x t))) (* 2.0 (* (sqrt (+ (* l (/ l x)) (* t t))) (sqrt (+ (* l (/ l x)) (* t t)))))) |
| 27.1b | (sqrt (+ (* l (/ l x)) (* t t))) |
| 27.1b | (sqrt (+ (* l (/ l x)) (* t t))) |
| 27.1b | (sqrt (+ (* 4.0 (/ t (/ x t))) (* 2.0 (* (sqrt (+ (* l (/ l x)) (* t t))) (sqrt (+ (* l (/ l x)) (* t t))))))) |
| 38× | sqrt-div |
| 36× | associate-*r/ |
| 16× | flip3-+ frac-add flip-+ |
| 10× | add-sqr-sqrt |
| 9× | sqrt-prod |
| 8× | frac-times |
| 7× | pow1 add-cube-cbrt *-un-lft-identity |
| 6× | add-log-exp |
| 4× | add-exp-log associate-*l/ add-cbrt-cube |
| 3× | rem-sqrt-square sqrt-pow1 pow1/2 |
| 1× | +-commutative sum-log |
| 14.0ms | (+ (* 4.0 (/ t (/ x t))) (* 2.0 (* (sqrt (+ (* l (/ l x)) (* t t))) (sqrt (+ (* l (/ l x)) (* t t)))))) |
| 6.0ms | (sqrt (+ (* l (/ l x)) (* t t))) |
| 8.0ms | (sqrt (+ (* l (/ l x)) (* t t))) |
| 14.0ms | (sqrt (+ (* 4.0 (/ t (/ x t))) (* 2.0 (* (sqrt (+ (* l (/ l x)) (* t t))) (sqrt (+ (* l (/ l x)) (* t t))))))) |
| 17.0ms | (+ (* 4.0 (/ t (/ x t))) (* 2.0 (* (sqrt (+ (* l (/ l x)) (* t t))) (sqrt (+ (* l (/ l x)) (* t t)))))) |
| 34.0ms | (sqrt (+ (* l (/ l x)) (* t t))) |
| 32.0ms | (sqrt (+ (* l (/ l x)) (* t t))) |
| 28.0ms | (sqrt (+ (* 4.0 (/ t (/ x t))) (* 2.0 (* (sqrt (+ (* l (/ l x)) (* t t))) (sqrt (+ (* l (/ l x)) (* t t))))))) |
Useful iterations: 0 (27.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4990 | 2434 |
| 1 | 4990 | 2434 |
12 alts after pruning (10 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 84 | 0 | 84 |
| Fresh | 0 | 10 | 10 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 84 | 12 | 96 |
Merged error: 2.9b
Found 4 expressions with local error:
| 0.4b | (* (sqrt 2.0) t) |
| 1.0b | (+ (* l (/ l x)) (* t t)) |
| 4.6b | (+ (* 4.0 (* t (/ t x))) (* 2.0 (+ (* l (/ l x)) (* t t)))) |
| 27.1b | (sqrt (+ (* 4.0 (* t (/ t x))) (* 2.0 (+ (* l (/ l x)) (* t t))))) |
| 13× | add-sqr-sqrt |
| 12× | associate-*r/ |
| 8× | add-cube-cbrt *-un-lft-identity add-log-exp |
| 7× | pow1 sqrt-prod |
| 6× | add-exp-log associate-*l* add-cbrt-cube |
| 5× | flip3-+ flip-+ |
| 4× | sqrt-div frac-add |
| 3× | associate-*r* |
| 2× | +-commutative associate-+r+ sum-log unswap-sqr |
| 1× | distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2 pow-prod-down prod-exp *-commutative cbrt-unprod |
| 5.0ms | (* (sqrt 2.0) t) |
| 6.0ms | (+ (* l (/ l x)) (* t t)) |
| 10.0ms | (+ (* 4.0 (* t (/ t x))) (* 2.0 (+ (* l (/ l x)) (* t t)))) |
| 9.0ms | (sqrt (+ (* 4.0 (* t (/ t x))) (* 2.0 (+ (* l (/ l x)) (* t t))))) |
| 5.0ms | (* (sqrt 2.0) t) |
| 10.0ms | (+ (* l (/ l x)) (* t t)) |
| 17.0ms | (+ (* 4.0 (* t (/ t x))) (* 2.0 (+ (* l (/ l x)) (* t t)))) |
| 30.0ms | (sqrt (+ (* 4.0 (* t (/ t x))) (* 2.0 (+ (* l (/ l x)) (* t t))))) |
Useful iterations: 0 (14.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5135 | 1349 |
12 alts after pruning (9 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 77 | 0 | 77 |
| Fresh | 0 | 9 | 9 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 77 | 12 | 89 |
Merged error: 2.9b
79.3% (5.0b remaining)
Error of 8.6b against oracle of 3.6b and baseline of 27.7b
| Iters | Range | Point | |
|---|---|---|---|
| 8 | 6.5065225296113186e+109 | 1.3009312689647836e+113 | 3.3289760264210936e+110 |
| 8 | -1.0538219094505121e+147 | -2.2661782969104254e+143 | -3.794989872061021e+143 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 106 |
| 1 | 66 | 106 |
| 715.0ms | 9703× | body | 80 | nan |
| 407.0ms | 5178× | body | 80 | valid |
| 308.0ms | 844× | body | 1280 | valid |
| 292.0ms | 1024× | body | 640 | valid |
| 213.0ms | 589× | body | 1280 | nan |
| 165.0ms | 593× | body | 640 | nan |
| 135.0ms | 627× | body | 320 | valid |
| 69.0ms | 319× | body | 320 | nan |
| 47.0ms | 327× | body | 160 | valid |
| 25.0ms | 172× | body | 160 | nan |
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