Time bar (total: 4.7s)
| 39.0ms | 86× | body | 1280 | valid |
| 13.0ms | 50× | body | 640 | valid |
| 5.0ms | 25× | body | 320 | valid |
| 4.0ms | 77× | body | 80 | valid |
| 2.0ms | 18× | body | 160 | valid |
Useful iterations: 0 (1.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 5 |
| 1 | 16 | 5 |
| 2 | 20 | 5 |
| 3 | 21 | 5 |
| 4 | 21 | 5 |
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: 14.2b
Found 3 expressions with local error:
| 0.2b | (* r (/ (sin b) (cos (+ a b)))) |
| 0.3b | (/ (sin b) (cos (+ a b))) |
| 3.1b | (cos (+ a b)) |
| 24× | add-sqr-sqrt |
| 19× | add-cube-cbrt *-un-lft-identity times-frac |
| 13× | associate-*r* |
| 10× | add-exp-log add-cbrt-cube |
| 5× | pow1 |
| 3× | associate-*l* associate-/r* associate-/l* add-log-exp |
| 2× | cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr |
| 1× | cos-sum frac-2neg associate-*r/ pow-prod-down clear-num *-commutative |
| 7.0ms | (* r (/ (sin b) (cos (+ a b)))) |
| 4.0ms | (/ (sin b) (cos (+ a b))) |
| 4.0ms | (cos (+ a b)) |
| 22.0ms | (* r (/ (sin b) (cos (+ a b)))) |
| 11.0ms | (/ (sin b) (cos (+ a b))) |
| 6.0ms | (cos (+ a b)) |
Useful iterations: 2 (30.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 252 | 536 |
| 1 | 1064 | 480 |
| 2 | 5001 | 477 |
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 65 | 11 | 76 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 66 | 11 | 77 |
Merged error: 0.2b
Found 4 expressions with local error:
| 0.1b | (- (* (cos a) (cos b)) (* (sin a) (sin b))) |
| 0.2b | (* (sin a) (sin b)) |
| 0.2b | (* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))) |
| 0.3b | (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
| 29× | add-sqr-sqrt |
| 22× | add-cube-cbrt *-un-lft-identity |
| 20× | associate-*r* |
| 19× | times-frac |
| 13× | add-exp-log add-cbrt-cube |
| 8× | pow1 associate-/r/ |
| 7× | sin-mult |
| 6× | associate-*l* cos-mult add-log-exp |
| 3× | flip3-- prod-exp associate-/r* frac-sub flip-- cbrt-unprod associate-/l* sub-div unswap-sqr |
| 2× | cbrt-undiv div-exp pow-prod-down *-commutative div-inv |
| 1× | sub-neg frac-2neg diff-log associate-*r/ clear-num |
| 5.0ms | (- (* (cos a) (cos b)) (* (sin a) (sin b))) |
| 4.0ms | (* (sin a) (sin b)) |
| 10.0ms | (* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))) |
| 7.0ms | (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
| 15.0ms | (- (* (cos a) (cos b)) (* (sin a) (sin b))) |
| 9.0ms | (* (sin a) (sin b)) |
| 51.0ms | (* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))) |
| 27.0ms | (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
Useful iterations: 2 (43.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 405 | 1307 |
| 1 | 1761 | 1182 |
| 2 | 5002 | 1173 |
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 100 | 12 | 112 |
| Fresh | 9 | 1 | 10 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 110 | 13 | 123 |
Merged error: 0.0b
Found 4 expressions with local error:
| 0.3b | (* (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3))) (+ (* (* (cos a) (cos b)) (* (cos a) (cos b))) (+ (* (* (sin a) (sin b)) (* (sin a) (sin b))) (* (* (cos a) (cos b)) (* (sin a) (sin b)))))) |
| 0.3b | (pow (* (sin a) (sin b)) 3) |
| 0.3b | (* (* (cos a) (cos b)) (* (cos a) (cos b))) |
| 0.4b | (pow (* (cos a) (cos b)) 3) |
| 131× | cos-mult |
| 120× | frac-add |
| 111× | sin-mult |
| 94× | frac-times associate-*r/ |
| 60× | associate-*l/ |
| 51× | pow1 |
| 37× | add-sqr-sqrt |
| 36× | associate-*l* |
| 28× | times-frac |
| 27× | add-exp-log add-cbrt-cube |
| 26× | *-un-lft-identity |
| 20× | add-cube-cbrt pow-prod-down |
| 14× | sqr-pow |
| 12× | prod-exp cbrt-unprod difference-of-squares |
| 8× | flip3-+ flip-+ |
| 6× | cube-div pow-unpow |
| 4× | pow-pow associate-*r* pow-exp associate-/r/ pow-sqr pow-prod-up add-log-exp rem-cube-cbrt |
| 3× | difference-cubes distribute-lft-out-- |
| 2× | cube-mult pow-to-exp unpow-prod-down pow-plus unpow3 cube-prod *-commutative unswap-sqr |
| 1× | cbrt-undiv pow2 distribute-rgt-in flip3-- distribute-lft-in swap-sqr div-exp frac-sub flip-- div-inv sub-div |
| 42.0ms | (* (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3))) (+ (* (* (cos a) (cos b)) (* (cos a) (cos b))) (+ (* (* (sin a) (sin b)) (* (sin a) (sin b))) (* (* (cos a) (cos b)) (* (sin a) (sin b)))))) |
| 4.0ms | (pow (* (sin a) (sin b)) 3) |
| 8.0ms | (* (* (cos a) (cos b)) (* (cos a) (cos b))) |
| 4.0ms | (pow (* (cos a) (cos b)) 3) |
| 125.0ms | (* (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3))) (+ (* (* (cos a) (cos b)) (* (cos a) (cos b))) (+ (* (* (sin a) (sin b)) (* (sin a) (sin b))) (* (* (cos a) (cos b)) (* (sin a) (sin b)))))) |
| 15.0ms | (pow (* (sin a) (sin b)) 3) |
| 12.0ms | (* (* (cos a) (cos b)) (* (cos a) (cos b))) |
| 14.0ms | (pow (* (cos a) (cos b)) 3) |
Useful iterations: 1 (39.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1923 | 6303 |
| 1 | 5002 | 6058 |
12 alts after pruning (11 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 219 | 2 | 221 |
| Fresh | 3 | 9 | 12 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 222 | 12 | 234 |
Merged error: 0.0b
Found 4 expressions with local error:
| 0.2b | (* (* r (/ (sin b) (- (* (* (cos a) (cos b)) (* (cos a) (cos b))) (* (* (sin a) (sin b)) (* (sin a) (sin b)))))) (+ (* (cos a) (cos b)) (* (sin a) (sin b)))) |
| 0.2b | (/ (sin b) (- (* (* (cos a) (cos b)) (* (cos a) (cos b))) (* (* (sin a) (sin b)) (* (sin a) (sin b))))) |
| 0.3b | (* (* (sin a) (sin b)) (* (sin a) (sin b))) |
| 0.3b | (* (* (cos a) (cos b)) (* (cos a) (cos b))) |
| 87× | pow1 |
| 39× | add-exp-log add-cbrt-cube |
| 37× | pow-prod-down |
| 24× | cos-mult sin-mult |
| 21× | prod-exp cbrt-unprod |
| 19× | associate-*r/ |
| 16× | associate-/r/ |
| 14× | add-sqr-sqrt add-cube-cbrt *-un-lft-identity |
| 13× | frac-times associate-*l/ |
| 12× | times-frac |
| 9× | frac-sub |
| 8× | pow-sqr pow-prod-up |
| 5× | associate-*r* sub-div |
| 4× | pow-plus associate-/r* add-log-exp difference-of-squares |
| 3× | associate-*l* *-commutative associate-/l* |
| 2× | cbrt-undiv pow2 flip3-+ swap-sqr div-exp frac-add flip-+ |
| 1× | distribute-rgt-in flip3-- frac-2neg distribute-lft-in clear-num flip-- div-inv |
| 23.0ms | (* (* r (/ (sin b) (- (* (* (cos a) (cos b)) (* (cos a) (cos b))) (* (* (sin a) (sin b)) (* (sin a) (sin b)))))) (+ (* (cos a) (cos b)) (* (sin a) (sin b)))) |
| 14.0ms | (/ (sin b) (- (* (* (cos a) (cos b)) (* (cos a) (cos b))) (* (* (sin a) (sin b)) (* (sin a) (sin b))))) |
| 9.0ms | (* (* (sin a) (sin b)) (* (sin a) (sin b))) |
| 8.0ms | (* (* (cos a) (cos b)) (* (cos a) (cos b))) |
| 115.0ms | (* (* r (/ (sin b) (- (* (* (cos a) (cos b)) (* (cos a) (cos b))) (* (* (sin a) (sin b)) (* (sin a) (sin b)))))) (+ (* (cos a) (cos b)) (* (sin a) (sin b)))) |
| 45.0ms | (/ (sin b) (- (* (* (cos a) (cos b)) (* (cos a) (cos b))) (* (* (sin a) (sin b)) (* (sin a) (sin b))))) |
| 13.0ms | (* (* (sin a) (sin b)) (* (sin a) (sin b))) |
| 12.0ms | (* (* (cos a) (cos b)) (* (cos a) (cos b))) |
Useful iterations: 2 (106.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 818 | 2741 |
| 1 | 4560 | 2249 |
| 2 | 5002 | 2225 |
12 alts after pruning (10 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 162 | 0 | 162 |
| Fresh | 0 | 10 | 10 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 162 | 12 | 174 |
Merged error: 0.0b
0% (0.4b remaining)
Error of 0.4b against oracle of 0.1b and baseline of 0.4b
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 36 |
| 1 | 28 | 36 |
| 1.3s | 2915× | body | 1280 | valid |
| 489.0ms | 1810× | body | 640 | valid |
| 145.0ms | 737× | body | 320 | valid |
| 127.0ms | 2176× | body | 80 | valid |
| 50.0ms | 362× | body | 160 | valid |
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