| 59× | intervals |
| 1.0m | 241756× | body | 80 | valid |
| 44.5s | 25489× | body | 1280 | valid |
| 39.2s | 158750× | body | 80 | nan |
| 22.4s | 17791× | body | 640 | valid |
| 12.6s | 6646× | body | 2560 | valid |
| 9.0s | 8891× | body | 320 | valid |
| 5.1s | 2398× | body | 5120 | valid |
| 4.0s | 8372× | body | 160 | valid |
| 1.6s | 659× | body | 10240 | exit |
| 1.1s | 632× | body | 1280 | nan |
| 550.0ms | 8256× | pre | 80 | true |
| 490.0ms | 605× | body | 640 | nan |
| 261.0ms | 370× | body | 320 | nan |
| 64.0ms | 176× | body | 160 | nan |
437 calls:
| 2.1s | (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)))))) |
| 2.0s | (sqrt (* (* U 2) (* n (- t (+ (* (* n (/ l Om)) (* (/ 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)))))) |
| 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))) |
| 1.5s | (* (* (* (/ (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 | (* (* (* (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)))) |
| 1.1s | (* (* (/ 1 2) (* (* (/ (/ (* M D) 2) d) (/ (/ (* M D) 2) d)) h)) (/ 1 l)) |
| 332591× | add-exp-log |
| 164572× | div-exp |
| 156337× | prod-exp |
| 133936× | times-frac |
| 55627× | add-sqr-sqrt |
| 53604× | *-un-lft-identity |
| 53042× | add-cube-cbrt |
| 44059× | add-cbrt-cube |
| 37471× | cbrt-undiv |
| 35080× | cbrt-unprod |
| 26249× | sqrt-prod |
| 13540× | cbrt-prod |
| 12435× | 1-exp |
| 12343× | rec-exp |
| 4951× | div-inv |
| 4682× | associate-*r* |
| 2651× | associate-/l* |
| 2584× | sqrt-div |
| 2554× | frac-times |
| 2114× | pow1 |
| 1699× | associate-*l/ |
| 1506× | associate-*l* |
| 1349× | associate-*r/ |
| 1048× | associate-/r/ |
| 817× | associate-/r* |
| 750× | flip3-- flip-- |
| 688× | pow-prod-down |
| 556× | unswap-sqr |
| 542× | unpow-prod-down |
| 517× | add-log-exp |
| 437× | insert-posit16 |
| 314× | unpow-prod-up |
| 271× | pow-exp flip-+ flip3-+ |
| 264× | sqr-pow |
| 221× | pow-unpow sub-neg |
| 215× | frac-add |
| 214× | pow-prod-up |
| 213× | sqrt-pow1 |
| 179× | tan-quot |
| 175× | difference-of-squares |
| 169× | *-commutative |
| 157× | distribute-lft-out-- |
| 131× | pow-sqr |
| 129× | pow-to-exp |
| 119× | swap-sqr |
| 106× | pow-plus |
| 105× | pow1/2 |
| 100× | frac-2neg clear-num |
| 89× | distribute-lft-out |
| 79× | pow2 |
| 77× | distribute-rgt-in distribute-lft-in |
| 68× | exp-prod |
| 65× | sin-mult |
| 58× | associate-/l/ |
| 57× | cbrt-div |
| 56× | rem-sqrt-square |
| 41× | log-pow |
| 36× | pow1/3 |
| 31× | pow-pow |
| 24× | sum-log cube-prod |
| 23× | pow-sub |
| 22× | +-commutative |
| 19× | div-sub |
| 17× | log-prod distribute-rgt-out |
| 16× | diff-log |
| 15× | pow-flip |
| 10× | associate-+r+ exp-sum |
| 9× | inv-pow |
| 8× | distribute-rgt-out-- difference-of-sqr-1 |
| 7× | rem-exp-log |
| 6× | associate-+l+ pow-div |
| 5× | rem-log-exp asin-acos sqr-sin |
| 4× | exp-diff distribute-lft1-in associate--l+ pow3 cos-sum unpow1/3 |
| 3× | associate-+r- frac-sub un-div-inv associate-+l- acos-asin log-div |
| 2× | sqrt-unprod sub-div unpow2 rem-square-sqrt cos-diff distribute-rgt1-in |
| 1× | remove-posit16 cos-mult sqrt-undiv sqrt-pow2 count-2 difference-cubes sqr-cos rem-cbrt-cube associate--r- |
Total 43.1b remaining (21.3%)
Threshold costs 3.4b (1.7%)