| 61× | intervals |
| 44.5s | 252717× | body | 80 | valid |
| 41.0s | 29655× | body | 1280 | valid |
| 26.2s | 160168× | body | 80 | nan |
| 22.6s | 19798× | body | 640 | valid |
| 17.0s | 8843× | body | 2560 | valid |
| 11.5s | 3394× | body | 5120 | valid |
| 6.8s | 10182× | body | 320 | valid |
| 3.4s | 9191× | body | 160 | valid |
| 2.0s | 635× | body | 10240 | exit |
| 419.0ms | 599× | body | 1280 | nan |
| 278.0ms | 619× | body | 640 | nan |
| 154.0ms | 361× | body | 320 | nan |
| 150.0ms | 8256× | pre | 80 | true |
| 44.0ms | 209× | body | 160 | nan |
429 calls:
| 8.0s | (sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* (* 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 (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))) |
| 6.7s | (sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))) |
| 3.2s | (sqrt (* (- (- t (* 2.0 (* l (/ l Om)))) (* (- U U*) (* n (pow (/ l Om) (* 2 (/ 2.0 2)))))) (* (* 2.0 n) U))) |
| 3.2s | (sqrt (* (- (- t (* 2.0 (* l (/ l Om)))) (* (- U U*) (* n (pow (/ l Om) (* 2 (/ 2.0 2)))))) (* (* 2.0 n) U))) |
| 113× | rewrite-expression-head |
429 calls:
| 3.1s | (exp (- (- (pow (- (/ (+ m n) 2.0) M) 2.0)) (- l (fabs (- m n))))) |
| 2.7s | (exp (- (- (pow (- (/ (+ m n) 2.0) M) 2.0)) (- l (fabs (- m n))))) |
| 1.8s | (* (* (* (/ (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)) |
| 1.5s | (- (- (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)))) |
| 39227× | add-exp-log |
| 27494× | prod-exp |
| 17086× | pow-exp |
| 13080× | div-exp |
| 8438× | pow-to-exp |
| 5181× | add-sqr-sqrt |
| 5030× | times-frac |
| 4260× | *-un-lft-identity |
| 3286× | add-cube-cbrt |
| 2344× | add-cbrt-cube |
| 1731× | sqrt-prod |
| 1620× | unpow-prod-down |
| 1542× | 1-exp rec-exp |
| 1362× | associate-*l* |
| 1235× | pow1 |
| 962× | associate-*r* |
| 887× | cbrt-unprod |
| 597× | cbrt-prod |
| 543× | add-log-exp |
| 506× | difference-of-squares |
| 490× | sqrt-div |
| 451× | associate-*r/ |
| 441× | sqr-pow |
| 436× | cbrt-undiv |
| 371× | pow-unpow unswap-sqr |
| 358× | associate-/l* |
| 356× | pow-prod-down |
| 346× | associate-/r* |
| 322× | associate-*l/ |
| 285× | distribute-lft-out div-inv |
| 255× | frac-times |
| 236× | associate-/r/ |
| 222× | flip-- flip3-- |
| 215× | distribute-lft-out-- |
| 191× | flip-+ flip3-+ |
| 178× | cube-prod |
| 142× | *-commutative |
| 137× | sqrt-pow1 |
| 109× | exp-prod |
| 108× | distribute-rgt-neg-in |
| 100× | tan-quot |
| 93× | pow1/2 |
| 87× | frac-2neg clear-num |
| 75× | distribute-lft-neg-in |
| 72× | rem-sqrt-square |
| 61× | associate-/l/ |
| 58× | distribute-rgt-in distribute-lft-in |
| 57× | unpow2 sub-neg |
| 47× | pow-prod-up pow-pow |
| 42× | frac-sub |
| 41× | pow1/3 |
| 38× | diff-log |
| 37× | div-sub |
| 29× | pow-sqr |
| 27× | pow-sub |
| 24× | frac-add |
| 23× | sum-log |
| 22× | swap-sqr |
| 20× | pow-plus |
| 19× | cbrt-div +-commutative |
| 15× | pow2 |
| 14× | associate--l+ |
| 13× | rem-exp-log neg-sub0 |
| 12× | pow-flip |
| 10× | inv-pow neg-log |
| 9× | rem-cube-cbrt exp-sum neg-mul-1 |
| 8× | cos-sum unpow3 pow-neg cube-mult associate--r+ |
| 7× | cube-div |
| 6× | exp-diff associate-+r+ associate--r- |
| 5× | difference-cubes un-div-inv acos-asin |
| 4× | cos-diff |
| 3× | associate--l- unpow-prod-up log-prod rem-cbrt-cube |
| 2× | associate-+l+ associate-+r- unsub-neg distribute-frac-neg asin-acos distribute-neg-frac |
| 1× | e-exp-1 sqrt-unprod exp-neg log-pow rem-square-sqrt sub-div mul0 |
Total 44.2b remaining (20.6%)
Threshold costs 4.3b (2%)
| 9.2b | 18.6% | Toniolo and Linder, Equation (13) |
| 6.8b | -20% | Maksimov and Kolovsky, Equation (3) |
| 5.7b | 76.5% | Toniolo and Linder, Equation (7) |
| 4.6b | 15.2% | Toniolo and Linder, Equation (10+) |
| 3.9b | 33.2% | Toniolo and Linder, Equation (10-) |