| 61× | intervals |
| 1.0m | 252736× | body | 80 | valid |
| 50.5s | 29428× | body | 1280 | valid |
| 42.8s | 159195× | body | 80 | nan |
| 25.9s | 20197× | body | 640 | valid |
| 20.0s | 8725× | body | 2560 | valid |
| 11.8s | 3555× | body | 5120 | valid |
| 10.8s | 9981× | body | 320 | valid |
| 5.8s | 9165× | body | 160 | valid |
| 2.1s | 623× | body | 10240 | exit |
| 737.0ms | 644× | body | 1280 | nan |
| 507.0ms | 637× | body | 640 | nan |
| 288.0ms | 8256× | pre | 80 | true |
| 183.0ms | 321× | body | 320 | nan |
| 66.0ms | 197× | body | 160 | nan |
460 calls:
| 2.9s | (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 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) |
| 2.1s | (* (* (* (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))))) |
| 2.0s | (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)))))))))))) |
| 1.9s | (sqrt (* 2 (* U (* n (- t (* (/ l Om) (- (* 2 l) (* (/ l Om) (* n (- U* U)))))))))) |
| 118× | rewrite-expression-head |
460 calls:
| 13.9s | (sqrt (- 1 (/ (/ (/ (* (cbrt h) (cbrt h)) (* (cbrt l) (cbrt l))) (/ (/ d (/ (* M D) 2)) (/ (cbrt h) (cbrt l)))) (/ d (/ (* M D) 2))))) |
| 962.0ms | (/ (+ (exp (/ (- EDonor (- Ec (+ Vef mu))) KbT)) 1) NdChar) |
| 631.0ms | (* (/ (* (sqrt (+ 1 (* -3 (* v v)))) (sqrt 2)) 4) (* (/ (* (sqrt (+ 1 (* -3 (* v v)))) (sqrt 2)) 4) (* (- 1 (* v v)) (* (- 1 (* v v)) (- 1 (* v v)))))) |
| 598.0ms | (sqrt (- 1 (/ (/ (/ h l) (/ d (/ (* M D) 2))) (/ d (/ (* M D) 2))))) |
| 568.0ms | (/ 1 (/ (+ (exp (/ (- EDonor (- Ec (+ Vef mu))) KbT)) 1) NdChar)) |
| 197552× | times-frac |
| 77067× | add-sqr-sqrt |
| 76111× | *-un-lft-identity |
| 75224× | add-cube-cbrt |
| 30811× | cbrt-prod |
| 10849× | sqrt-prod |
| 9924× | add-exp-log |
| 9330× | div-inv |
| 5623× | add-cbrt-cube |
| 5045× | div-exp |
| 4651× | associate-/l* |
| 2985× | prod-exp |
| 2798× | cbrt-undiv |
| 2009× | associate-*l* |
| 1865× | unpow-prod-down |
| 1805× | associate-/r* |
| 1802× | cbrt-unprod |
| 1797× | pow1 |
| 1434× | associate-/r/ |
| 1048× | associate-*r/ |
| 1003× | associate-*r* |
| 725× | frac-times |
| 661× | sqr-pow |
| 548× | add-log-exp |
| 533× | pow-prod-down |
| 519× | sqrt-div |
| 460× | insert-posit16 |
| 456× | 1-exp |
| 417× | associate-*l/ |
| 347× | distribute-lft-out |
| 341× | unswap-sqr |
| 323× | flip3-- flip-- |
| 271× | flip-+ flip3-+ |
| 247× | difference-of-squares |
| 221× | pow-exp |
| 214× | rec-exp |
| 204× | distribute-rgt-neg-in distribute-lft-neg-in |
| 191× | sqrt-pow1 |
| 182× | swap-sqr |
| 156× | cbrt-div *-commutative |
| 155× | pow-prod-up |
| 142× | distribute-rgt-in distribute-lft-in |
| 137× | sub-neg |
| 131× | pow1/2 |
| 124× | pow-unpow |
| 112× | unpow-prod-up |
| 109× | frac-2neg clear-num |
| 92× | tan-quot |
| 88× | distribute-lft-out-- |
| 87× | pow-to-exp |
| 86× | pow-plus |
| 85× | associate-/l/ pow-sqr |
| 72× | rem-sqrt-square |
| 68× | neg-mul-1 |
| 55× | frac-add |
| 51× | pow2 |
| 43× | pow1/3 |
| 41× | distribute-rgt-out |
| 40× | sin-mult |
| 34× | pow-pow |
| 25× | sum-log |
| 21× | log-pow |
| 20× | +-commutative diff-log |
| 19× | log-prod exp-prod |
| 17× | distribute-lft1-in div-sub |
| 16× | pow-flip cos-sum |
| 12× | exp-sum count-2 distribute-rgt1-in |
| 10× | cube-prod inv-pow cos-diff |
| 9× | pow-sub |
| 8× | associate--l+ |
| 7× | associate-+l+ |
| 6× | pow3 unpow2 cube-div |
| 5× | difference-of-sqr--1 difference-of-sqr-1 acos-asin |
| 4× | associate--r+ rem-log-exp |
| 3× | sqrt-unprod associate-+l- rem-square-sqrt |
| 2× | remove-posit16 associate-+r- frac-sub cube-unmult sqr-sin un-div-inv distribute-neg-frac asin-acos rem-exp-log |
| 1× | neg-sub0 exp-diff distribute-rgt-out-- unpow3 associate--l- sub-div sqrt-pow2 exp-to-pow rem-cbrt-cube cube-mult |
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) |