| 61× | intervals |
| 49.0s | 252717× | body | 80 | valid |
| 41.1s | 29655× | body | 1280 | valid |
| 29.1s | 160168× | body | 80 | nan |
| 19.6s | 8784× | body | 2560 | valid |
| 18.1s | 19798× | body | 640 | valid |
| 12.2s | 3453× | body | 5120 | valid |
| 6.6s | 10182× | body | 320 | valid |
| 3.0s | 9191× | body | 160 | valid |
| 1.2s | 635× | body | 10240 | exit |
| 452.0ms | 596× | body | 1280 | nan |
| 449.0ms | 8256× | pre | 80 | true |
| 353.0ms | 621× | body | 640 | nan |
| 164.0ms | 362× | body | 320 | nan |
| 39.0ms | 209× | body | 160 | nan |
432 calls:
| 7.8s | (sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))))) |
| 7.5s | (sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))) |
| 7.3s | (sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))) |
| 6.8s | (sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))) |
| 6.4s | (sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))) |
| 113× | rewrite-expression-head |
432 calls:
| 2.6s | (exp (- (- (pow (- (/ (+ m n) 2.0) M) 2.0)) (- l (fabs (- m n))))) |
| 2.6s | (exp (- (- (pow (- (/ (+ m n) 2.0) M) 2.0)) (- l (fabs (- m n))))) |
| 1.9s | (* (* (* (/ (pow (cbrt t) 3.0) (/ l (pow (cbrt t) 3.0))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0)) |
| 1.6s | (- (- (pow (- (/ (+ m n) 2.0) M) 2.0)) (- l (fabs (- m n)))) |
| 1.5s | (- (- (pow (- (/ (+ m n) 2.0) M) 2.0)) (- l (fabs (- m n)))) |
| 47328× | add-exp-log |
| 33318× | prod-exp |
| 21400× | pow-exp |
| 16320× | div-exp |
| 13729× | times-frac |
| 11779× | sqrt-prod |
| 11098× | add-sqr-sqrt |
| 10301× | pow-to-exp |
| 9607× | *-un-lft-identity |
| 5919× | add-cube-cbrt |
| 2371× | add-cbrt-cube |
| 2199× | unpow-prod-down |
| 2124× | difference-of-squares |
| 1929× | 1-exp rec-exp |
| 1365× | associate-*l* |
| 1314× | distribute-lft-out |
| 1227× | pow1 |
| 958× | associate-*r* |
| 904× | cbrt-unprod |
| 747× | sqr-pow |
| 562× | add-log-exp |
| 559× | cbrt-prod |
| 522× | distribute-lft-out-- |
| 458× | associate-*r/ |
| 439× | cbrt-undiv |
| 438× | sqrt-div |
| 372× | unswap-sqr |
| 365× | pow-unpow |
| 356× | pow-prod-down |
| 325× | div-inv |
| 319× | associate-/l* |
| 313× | associate-/r* |
| 276× | associate-/r/ |
| 271× | associate-*l/ |
| 239× | frac-times |
| 217× | flip-+ flip3-+ |
| 203× | flip-- flip3-- |
| 143× | *-commutative |
| 130× | sqrt-pow1 |
| 100× | tan-quot |
| 91× | rem-sqrt-square |
| 89× | pow1/2 frac-2neg clear-num |
| 80× | exp-prod |
| 72× | distribute-rgt-in distribute-lft-in |
| 67× | sub-neg |
| 57× | associate-/l/ unpow2 |
| 47× | pow-prod-up |
| 45× | pow-pow |
| 42× | cube-prod frac-sub |
| 41× | pow1/3 |
| 39× | distribute-rgt-neg-in |
| 36× | diff-log |
| 33× | div-sub sum-log |
| 30× | associate--l+ |
| 29× | pow-sqr |
| 27× | pow-sub |
| 26× | distribute-lft-neg-in |
| 25× | +-commutative |
| 24× | frac-add |
| 22× | swap-sqr |
| 20× | pow-plus |
| 18× | cbrt-div |
| 15× | log-pow pow2 |
| 14× | neg-log associate--r+ |
| 13× | rem-exp-log neg-sub0 |
| 12× | log-prod |
| 9× | exp-sum |
| 8× | cos-sum inv-pow pow-flip associate-+r+ pow-neg |
| 6× | associate--r- |
| 5× | unpow3 un-div-inv cube-mult acos-asin |
| 4× | cube-div exp-diff cos-diff distribute-neg-frac associate-+l- |
| 3× | associate--l- unpow-prod-up |
| 2× | rem-cube-cbrt associate-+l+ associate-+r- asin-acos neg-mul-1 rem-cbrt-cube |
| 1× | e-exp-1 quot-tan sqrt-unprod rem-square-sqrt mul0 rem-log-exp |
Total 43.1b remaining (19.9%)
Threshold costs 3.8b (1.8%)
| 8.8b | 19.3% | Toniolo and Linder, Equation (13) |
| 6.7b | -20% | Maksimov and Kolovsky, Equation (3) |
| 5.7b | 76.5% | Toniolo and Linder, Equation (7) |
| 4.6b | 15.2% | Toniolo and Linder, Equation (10+) |
| 3.7b | 34.5% | Toniolo and Linder, Equation (10-) |