| 61× | intervals |
| 1.0m | 253094× | body | 80 | valid |
| 50.8s | 29579× | body | 1280 | valid |
| 41.9s | 161693× | body | 80 | nan |
| 27.9s | 20380× | body | 640 | valid |
| 20.5s | 8839× | body | 2560 | valid |
| 10.0s | 3318× | body | 5120 | valid |
| 9.4s | 9914× | body | 320 | valid |
| 5.1s | 8759× | body | 160 | valid |
| 1.6s | 659× | body | 10240 | exit |
| 785.0ms | 632× | body | 1280 | nan |
| 524.0ms | 605× | body | 640 | nan |
| 268.0ms | 8256× | pre | 80 | true |
| 207.0ms | 370× | body | 320 | nan |
| 64.0ms | 176× | body | 160 | nan |
437 calls:
| 2.2s | (sqrt (* (* U 2) (* n (- t (+ (* (* n (/ l Om)) (* (* (cbrt (* (/ l Om) (- U U*))) (cbrt (* (/ l Om) (- U U*)))) (cbrt (* (/ l Om) (- U U*))))) (* (* (/ l Om) 2) l)))))) |
| 2.0s | (sqrt (* (* U 2) (* n (- t (+ (* (* n (/ l Om)) (* (* (cbrt (* (/ l Om) (- U U*))) (cbrt (* (/ l Om) (- U U*)))) (cbrt (* (/ l Om) (- U U*))))) (* (* (/ l Om) 2) l)))))) |
| 1.9s | (sqrt (* (* U 2) (* n (- t (+ (* (* n (/ l Om)) (* (* (cbrt (* (/ l Om) (- U U*))) (cbrt (* (/ l Om) (- U U*)))) (cbrt (* (/ l Om) (- U U*))))) (* (* (/ l Om) 2) l)))))) |
| 1.9s | (sqrt (* (* U 2) (* n (- t (+ (* (* (* n (/ l Om)) (/ l Om)) (- U U*)) (* (* (/ l Om) 2) l)))))) |
| 1.7s | (sqrt (* (* U 2) (* n (- t (+ (* (* n (/ l Om)) (* (/ l Om) (- U U*))) (* (* (/ l Om) 2) l)))))) |
| 111× | rewrite-expression-head |
437 calls:
| 5.6s | (* (* (* (* (/ (cbrt h) (cbrt l)) (/ (* (cbrt M) (cbrt M)) (/ 1 (/ 1 (* (cbrt d) (cbrt d)))))) (/ (cbrt M) (/ 2 (/ D (cbrt d))))) (* (/ (* (cbrt h) (* (/ (cbrt D) (cbrt d)) (/ (cbrt D) (cbrt d)))) (cbrt l)) (/ M (/ 2 (/ (cbrt D) (cbrt d)))))) (/ (cbrt h) (cbrt l))) |
| 1.7s | (* (* (* (/ (cbrt h) (cbrt l)) (/ M (/ 2 (/ D d)))) (* (/ (* (cbrt h) (* (/ (cbrt D) (cbrt d)) (/ (cbrt D) (cbrt d)))) (cbrt l)) (/ M (/ 2 (/ (cbrt D) (cbrt d)))))) (/ (cbrt h) (cbrt l))) |
| 1.3s | (* (* (/ 1 2) (* (* (/ (/ (* M D) 2) d) (/ (/ (* M D) 2) d)) h)) (/ 1 l)) |
| 1.2s | (* (* (* (sqrt (* (/ (cbrt d) (cbrt h)) (/ (cbrt d) (cbrt h)))) (sqrt (/ (cbrt d) (cbrt h)))) (* (sqrt (* (/ (cbrt d) (cbrt l)) (/ (cbrt d) (cbrt l)))) (sqrt (/ (cbrt d) (cbrt l))))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) |
| 1.2s | (* (* (* (sqrt (* (/ (cbrt d) (cbrt h)) (/ (cbrt d) (cbrt h)))) (sqrt (/ (cbrt d) (cbrt h)))) (* (sqrt (* (/ (cbrt d) (cbrt l)) (/ (cbrt d) (cbrt l)))) (sqrt (/ (cbrt d) (cbrt l))))) (- 1 (* (* (/ 1 2) (* (* (/ (/ (* M D) 2) d) (/ (/ (* M D) 2) d)) h)) (/ 1 l)))) |
| 331554× | add-exp-log |
| 163850× | div-exp |
| 156079× | prod-exp |
| 139795× | times-frac |
| 57712× | add-sqr-sqrt |
| 56285× | *-un-lft-identity |
| 55813× | add-cube-cbrt |
| 43827× | add-cbrt-cube |
| 37276× | cbrt-undiv |
| 35005× | cbrt-unprod |
| 28269× | sqrt-prod |
| 15682× | cbrt-prod |
| 12334× | 1-exp |
| 12307× | rec-exp |
| 4975× | div-inv |
| 2833× | associate-/l* |
| 2648× | sqrt-div |
| 2561× | frac-times |
| 2397× | associate-*r* |
| 2160× | pow1 |
| 1696× | associate-*l/ |
| 1482× | associate-*l* |
| 1358× | associate-*r/ |
| 1058× | associate-/r/ |
| 839× | associate-/r* |
| 750× | flip3-- flip-- |
| 697× | pow-prod-down |
| 636× | unpow-prod-down |
| 519× | add-log-exp |
| 449× | unswap-sqr |
| 437× | insert-posit16 |
| 314× | unpow-prod-up |
| 291× | flip-+ flip3-+ |
| 290× | sqrt-pow1 |
| 261× | pow-exp |
| 260× | sqr-pow |
| 236× | pow-prod-up |
| 221× | sub-neg |
| 215× | frac-add |
| 189× | tan-quot |
| 175× | difference-of-squares |
| 170× | *-commutative |
| 157× | distribute-lft-out-- |
| 150× | pow1/2 |
| 149× | swap-sqr |
| 141× | pow-sqr |
| 119× | pow-to-exp |
| 113× | pow-plus |
| 101× | frac-2neg clear-num |
| 97× | pow-unpow |
| 89× | distribute-lft-out |
| 85× | distribute-rgt-in distribute-lft-in |
| 81× | pow2 |
| 65× | sin-mult exp-prod |
| 64× | rem-sqrt-square |
| 59× | associate-/l/ |
| 57× | cbrt-div |
| 40× | log-pow |
| 36× | pow1/3 |
| 24× | sum-log cube-prod |
| 23× | pow-sub |
| 22× | +-commutative |
| 21× | pow-pow |
| 20× | log-prod |
| 19× | div-sub |
| 17× | distribute-rgt-out |
| 16× | diff-log |
| 15× | pow-flip |
| 13× | exp-sum |
| 10× | associate-+r+ |
| 9× | inv-pow |
| 8× | difference-of-sqr-1 distribute-rgt-out-- |
| 7× | rem-exp-log |
| 6× | associate-+l+ pow-div |
| 5× | sqr-sin rem-log-exp asin-acos |
| 4× | exp-diff distribute-lft1-in associate--l+ sqrt-unprod rem-square-sqrt cos-sum unpow1/3 |
| 3× | associate-+r- frac-sub un-div-inv associate-+l- acos-asin log-div |
| 2× | cube-unmult sub-div unpow2 cos-diff distribute-rgt1-in |
| 1× | remove-posit16 cos-mult sqrt-undiv pow3 sqrt-pow2 count-2 difference-cubes exp-to-pow sqr-cos rem-cbrt-cube associate--r- |
Total 47.2b remaining (21.6%)
Threshold costs 4.3b (2%)