| 60× | intervals |
| 59.7s | 248059× | body | 80 | valid |
| 51.3s | 27527× | body | 1280 | valid |
| 41.9s | 160919× | body | 80 | nan |
| 24.4s | 18640× | body | 640 | valid |
| 22.0s | 8652× | body | 2560 | valid |
| 14.6s | 3469× | body | 5120 | valid |
| 7.9s | 8890× | body | 320 | valid |
| 5.4s | 8566× | body | 160 | valid |
| 1.9s | 833× | body | 10240 | exit |
| 1.2s | 344× | body | 320 | nan |
| 851.0ms | 8256× | pre | 80 | true |
| 725.0ms | 623× | body | 1280 | nan |
| 641.0ms | 653× | body | 640 | nan |
| 67.0ms | 184× | body | 160 | nan |
| 116× | rewrite-expression-head |
432 calls:
| 35.0s | (* (/ (/ (sqrt (sqrt 2)) (/ (cbrt t) 1)) (/ (tan k) (/ (sqrt (sqrt 2)) (/ (cbrt t) (/ l t))))) (/ (/ (sqrt 2) (* (/ (cbrt t) (/ l t)) (sin k))) (fma (/ k t) (/ k t) 2))) |
| 2.1s | (* (* 1/2 (* (* (/ (* M D) (* d 2)) (cbrt h)) (* (/ (* M D) (* d 2)) (cbrt h)))) (/ (cbrt h) l)) |
| 2.0s | (* (* 1/2 (* (* (/ (* M D) (* d 2)) (cbrt h)) (* (/ (* M D) (* d 2)) (cbrt h)))) (/ (cbrt h) l)) |
| 1.7s | (+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) |
| 1.6s | (+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) |
| 2949673× | times-frac |
| 1123660× | add-sqr-sqrt |
| 1119069× | *-un-lft-identity |
| 1117989× | add-cube-cbrt |
| 916893× | sqrt-prod |
| 460590× | associate-*l* |
| 401727× | cbrt-prod |
| 62999× | div-inv |
| 9490× | add-exp-log |
| 9264× | associate-/r/ |
| 6603× | add-cbrt-cube |
| 4110× | prod-exp |
| 3838× | prod-diff |
| 3661× | div-exp |
| 3034× | unpow-prod-up |
| 2955× | cbrt-unprod |
| 2516× | cbrt-undiv |
| 2064× | associate-/r* |
| 1888× | pow1 |
| 1378× | associate-*r* |
| 1149× | difference-of-squares |
| 842× | unswap-sqr |
| 776× | associate-*l/ |
| 710× | associate-/l* |
| 546× | pow-prod-down |
| 511× | frac-times |
| 470× | add-log-exp |
| 460× | pow-exp |
| 457× | associate-*r/ |
| 434× | expm1-log1p-u |
| 432× | log1p-expm1-u insert-posit16 |
| 338× | pow-to-exp |
| 312× | sqrt-div |
| 303× | 1-exp |
| 295× | unpow-prod-down |
| 235× | pow-prod-up |
| 208× | flip3-- flip-- |
| 153× | rec-exp |
| 149× | sqr-pow |
| 147× | pow-sqr |
| 132× | *-commutative |
| 118× | pow-unpow |
| 116× | pow-plus |
| 109× | frac-2neg clear-num |
| 108× | sqrt-pow1 |
| 102× | sub-neg |
| 89× | swap-sqr |
| 86× | pow2 |
| 85× | distribute-lft-out |
| 69× | distribute-lft-out-- |
| 68× | pow1/3 |
| 66× | pow1/2 |
| 61× | rem-sqrt-square |
| 60× | distribute-rgt-in distribute-lft-in |
| 59× | cbrt-div |
| 55× | flip-+ flip3-+ |
| 51× | fma-def fma-neg |
| 46× | neg-mul-1 distribute-rgt-neg-in distribute-lft-neg-in |
| 41× | associate-/l/ |
| 40× | exp-prod |
| 34× | tan-quot |
| 32× | frac-add |
| 29× | fma-udef |
| 26× | log-prod |
| 25× | distribute-rgt-out-- pow-pow |
| 23× | unpow2 |
| 21× | pow-flip |
| 20× | log-pow |
| 19× | inv-pow |
| 18× | pow-sub |
| 15× | cos-sum |
| 9× | sum-log +-commutative diff-log |
| 7× | exp-sum un-div-inv |
| 6× | div-sub |
| 5× | rem-log-exp |
| 4× | acos-asin |
| 3× | remove-posit16 cube-prod frac-sub asin-acos rem-exp-log cos-diff |
| 2× | expm1-log1p expm1-udef associate-+r- associate-+r+ associate--l+ log1p-expm1 distribute-neg-frac hypot-udef hypot-def log1p-udef |
| 1× | rem-cube-cbrt exp-diff sqrt-undiv unpow3 sqrt-unprod sub-div sqr-sin exp-to-pow rem-square-sqrt cube-mult sin-mult |
432 calls:
| 2.5s | (sqrt (* (* (* (* U 2) n) (* (cbrt (fma (- U* U) (/ (/ n (/ Om l)) (/ Om l)) (fma (/ l (/ Om l)) -2 t))) (cbrt (fma (- U* U) (/ (/ n (/ Om l)) (/ Om l)) (fma (/ l (/ Om l)) -2 t))))) (cbrt (fma (- U* U) (/ (/ n (/ Om l)) (/ Om l)) (fma (/ l (/ Om l)) -2 t))))) |
| 2.4s | (sqrt (* (* (* (* U 2) n) (* (cbrt (fma (- U* U) (/ (/ n (/ Om l)) (/ Om l)) (fma (/ l (/ Om l)) -2 t))) (cbrt (fma (- U* U) (/ (/ n (/ Om l)) (/ Om l)) (fma (/ l (/ Om l)) -2 t))))) (cbrt (* (* (cbrt (fma (- U* U) (/ (/ n (/ Om l)) (/ Om l)) (fma (/ l (/ Om l)) -2 t))) (cbrt (fma (- U* U) (/ (/ n (/ Om l)) (/ Om l)) (fma (/ l (/ Om l)) -2 t)))) (cbrt (fma (- U* U) (/ (/ n (/ Om l)) (/ Om l)) (fma (/ l (/ Om l)) -2 t))))))) |
| 2.2s | (sqrt (* (* (* U 2) n) (fma (- U* U) (/ (/ n (/ Om l)) (/ Om l)) (fma (/ l (/ Om l)) -2 t)))) |
| 2.1s | (sqrt (* (* U 2) (* n (fma (- U* U) (/ (/ n (/ Om l)) (/ Om l)) (fma (/ l (/ Om l)) -2 t))))) |
| 1.5s | (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) |
Total 47.8b remaining (29.3%)
Threshold costs 2.7b (1.7%)
| 10.6b | 11.9% | Toniolo and Linder, Equation (13) |
| 7.1b | 34.1% | Toniolo and Linder, Equation (10-) |
| 6.5b | 22.3% | Henrywood and Agarwal, Equation (13) |
| 5.3b | 77.2% | Toniolo and Linder, Equation (7) |
| 4.0b | 0% | Maksimov and Kolovsky, Equation (3) |