| 61× | intervals |
| 44.1s | 252736× | body | 80 | valid |
| 37.5s | 29428× | body | 1280 | valid |
| 28.1s | 159195× | body | 80 | nan |
| 18.2s | 20197× | body | 640 | valid |
| 13.8s | 8725× | body | 2560 | valid |
| 9.9s | 3555× | body | 5120 | valid |
| 6.9s | 9981× | body | 320 | valid |
| 4.2s | 9165× | body | 160 | valid |
| 964.0ms | 623× | body | 10240 | exit |
| 556.0ms | 644× | body | 1280 | nan |
| 356.0ms | 637× | body | 640 | nan |
| 278.0ms | 8256× | pre | 80 | true |
| 105.0ms | 321× | body | 320 | nan |
| 41.0ms | 197× | body | 160 | nan |
460 calls:
| 2.4s | (sqrt (* 2 (* (* (cbrt (* U (* n (- t (* (/ l Om) (- (* 2 l) (* (/ l Om) (* n (- U* U))))))))) (cbrt (* U (* n (- t (* (/ l Om) (- (* 2 l) (* (/ l Om) (* n (- U* U)))))))))) (* (cbrt U) (cbrt (* n (- t (* (/ l Om) (- (* 2 l) (* (/ l Om) (* n (- U* U)))))))))))) |
| 2.2s | (* (* (* (fabs (/ (cbrt d) (cbrt h))) (sqrt (/ (cbrt d) (cbrt h)))) (* (sqrt (/ (/ 1 (cbrt l)) (cbrt l))) (sqrt (/ d (cbrt l))))) (- 1 (* (/ (/ (* (/ M (/ (* d 2) D)) (/ M (/ (* d 2) D))) 2) (* (cbrt l) (cbrt l))) (/ h (cbrt l))))) |
| 2.1s | (sqrt (* 2 (* (* (cbrt (* U (* n (- t (* (/ l Om) (- (* 2 l) (* (/ l Om) (* n (- U* U))))))))) (cbrt (* U (* n (- t (* (/ l Om) (- (* 2 l) (* (/ l Om) (* n (- U* U)))))))))) (cbrt (* U (* n (- t (* (/ l Om) (- (* 2 l) (* (/ l Om) (* n (- U* U)))))))))))) |
| 2.1s | (sqrt (* 2 (* (sqrt (* U (* n (- t (* (/ l Om) (- (* 2 l) (* (/ l Om) (* n (- U* U))))))))) (sqrt (* U (* n (- t (* (/ l Om) (- (* 2 l) (* (/ l Om) (* n (- U* U)))))))))))) |
| 2.0s | (* (* (* (fabs (/ (cbrt d) (cbrt h))) (sqrt (/ (cbrt d) (cbrt h)))) (* (sqrt (/ (/ 1 (cbrt l)) (cbrt l))) (sqrt (/ d (cbrt l))))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) |
| 118× | rewrite-expression-head |
460 calls:
| 13.4s | (sqrt (- 1 (/ (/ (/ (* (cbrt h) (cbrt h)) (* (cbrt l) (cbrt l))) (/ (/ d (/ (* M D) 2)) (/ (cbrt h) (cbrt l)))) (/ d (/ (* M D) 2))))) |
| 1.1s | (sqrt (- 1 (/ (/ (/ h l) (/ d (/ (* M D) 2))) (/ d (/ (* M D) 2))))) |
| 897.0ms | (/ (+ (exp (/ (- EDonor (- Ec (+ Vef mu))) KbT)) 1) NdChar) |
| 575.0ms | (/ 1 (/ (+ (exp (/ (- EDonor (- Ec (+ Vef mu))) KbT)) 1) NdChar)) |
| 474.0ms | (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) |
| 197549× | times-frac |
| 77073× | add-sqr-sqrt |
| 76112× | *-un-lft-identity |
| 75225× | add-cube-cbrt |
| 30811× | cbrt-prod |
| 10851× | sqrt-prod |
| 9769× | add-exp-log |
| 9329× | div-inv |
| 5467× | add-cbrt-cube |
| 5012× | div-exp |
| 4651× | associate-/l* |
| 2890× | prod-exp |
| 2765× | cbrt-undiv |
| 2004× | associate-*l* |
| 1865× | unpow-prod-down |
| 1805× | associate-/r* |
| 1706× | cbrt-unprod |
| 1593× | pow1 |
| 1434× | associate-/r/ |
| 1009× | associate-*r* |
| 902× | associate-*r/ |
| 661× | sqr-pow |
| 555× | sqrt-div |
| 554× | add-log-exp |
| 541× | frac-times |
| 494× | pow-prod-down |
| 460× | insert-posit16 |
| 456× | 1-exp |
| 397× | associate-*l/ |
| 347× | distribute-lft-out |
| 343× | unswap-sqr |
| 274× | flip-+ flip3-+ |
| 245× | difference-of-squares |
| 226× | flip3-- flip-- |
| 221× | pow-exp |
| 214× | rec-exp |
| 204× | distribute-rgt-neg-in distribute-lft-neg-in |
| 181× | swap-sqr |
| 180× | sqrt-pow1 |
| 156× | cbrt-div *-commutative |
| 124× | pow-unpow pow1/2 |
| 118× | sub-neg |
| 112× | unpow-prod-up |
| 109× | frac-2neg clear-num |
| 92× | tan-quot |
| 88× | distribute-lft-out-- |
| 87× | pow-to-exp |
| 85× | associate-/l/ |
| 83× | pow-prod-up |
| 72× | rem-sqrt-square |
| 69× | distribute-rgt-in distribute-lft-in |
| 68× | neg-mul-1 |
| 55× | frac-add |
| 47× | pow-plus |
| 45× | pow-sqr |
| 43× | pow1/3 |
| 41× | distribute-rgt-out |
| 40× | sin-mult |
| 34× | pow-pow |
| 28× | sum-log |
| 26× | pow2 |
| 23× | +-commutative |
| 21× | log-pow diff-log |
| 19× | exp-prod |
| 17× | distribute-lft1-in div-sub |
| 16× | pow-flip cos-sum |
| 15× | log-prod |
| 12× | exp-sum count-2 distribute-rgt1-in |
| 10× | cube-prod associate--l+ inv-pow cos-diff |
| 9× | pow3 pow-sub |
| 7× | associate-+l+ |
| 6× | unpow2 cube-div |
| 5× | difference-of-sqr--1 difference-of-sqr-1 rem-log-exp acos-asin |
| 4× | associate--r+ |
| 3× | exp-diff sqrt-unprod rem-exp-log associate-+l- rem-square-sqrt |
| 2× | remove-posit16 associate-+r- frac-sub sqr-sin un-div-inv distribute-neg-frac asin-acos |
| 1× | neg-sub0 distribute-rgt-out-- unpow3 associate--l- sub-div sqrt-pow2 rem-cbrt-cube cube-mult log-div |
Total 41.8b remaining (22.9%)
Threshold costs 3.3b (1.8%)
| 8.4b | 43.7% | Henrywood and Agarwal, Equation (3) |
| 6.8b | 18.2% | Henrywood and Agarwal, Equation (13) |
| 6.2b | 74.3% | Toniolo and Linder, Equation (7) |
| 5.1b | 45.2% | Toniolo and Linder, Equation (13) |
| 4.2b | 22.4% | Henrywood and Agarwal, Equation (12) |