| 61× | intervals |
| 31.0s | 253725× | body | 80 | valid |
| 26.4s | 29606× | body | 1280 | valid |
| 21.5s | 160562× | body | 80 | nan |
| 15.0s | 20452× | body | 640 | valid |
| 13.2s | 8769× | body | 2560 | valid |
| 7.5s | 3397× | body | 5120 | valid |
| 4.9s | 9882× | body | 320 | valid |
| 2.6s | 9060× | body | 160 | valid |
| 866.0ms | 970× | body | 10240 | exit |
| 429.0ms | 358× | body | 320 | nan |
| 272.0ms | 652× | body | 1280 | nan |
| 230.0ms | 649× | body | 640 | nan |
| 189.0ms | 8256× | pre | 80 | true |
| 55.0ms | 174× | body | 160 | nan |
447 calls:
| 5.7s | (sqrt (* (* 2.0 n) (* U (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))) |
| 5.5s | (sqrt (* (* 2.0 n) (* U (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))) |
| 5.4s | (sqrt (* (* 2.0 n) (* U (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))) |
| 5.2s | (sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))) |
| 5.2s | (sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))) |
| 116× | rewrite-expression-head |
447 calls:
| 2.4s | (/ (/ NdChar (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))) (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))) |
| 1.7s | (* (sqrt (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))) (sqrt (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))) |
| 1.1s | (* (* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0)) |
| 998.0ms | (* (exp 1.0) (exp (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))) |
| 955.0ms | (exp (+ (pow (- (/ (+ m n) 2.0) M) 2.0) (- l (fabs (- m n))))) |
| 36071× | add-exp-log |
| 25390× | prod-exp |
| 12149× | pow-exp |
| 10037× | div-exp |
| 5466× | pow-to-exp |
| 3835× | add-sqr-sqrt |
| 3507× | *-un-lft-identity |
| 3442× | times-frac |
| 2831× | add-cube-cbrt |
| 2721× | add-cbrt-cube |
| 1398× | sqrt-prod |
| 1325× | rec-exp 1-exp |
| 1274× | pow1 |
| 1216× | cbrt-unprod |
| 1007× | associate-*r* |
| 948× | unpow-prod-down |
| 884× | associate-*l* |
| 668× | associate-*r/ |
| 552× | add-log-exp |
| 536× | pow-unpow |
| 491× | cbrt-prod |
| 484× | cbrt-undiv |
| 409× | pow-prod-down |
| 358× | sqrt-div |
| 326× | unswap-sqr |
| 297× | associate-*l/ |
| 296× | associate-/l* associate-/r* |
| 279× | distribute-lft-out |
| 273× | frac-times |
| 267× | sqr-pow |
| 246× | associate-/r/ |
| 242× | div-inv |
| 225× | flip3-- flip-- |
| 200× | flip-+ flip3-+ |
| 172× | difference-of-squares |
| 153× | *-commutative |
| 132× | cube-prod |
| 114× | sqrt-pow1 |
| 98× | distribute-rgt-in distribute-lft-in |
| 92× | tan-quot |
| 87× | clear-num frac-2neg |
| 84× | sub-neg |
| 83× | pow1/2 |
| 81× | distribute-lft-out-- unpow2 |
| 80× | rem-sqrt-square |
| 76× | distribute-rgt-neg-in |
| 64× | exp-prod |
| 59× | pow1/3 |
| 57× | log-pow |
| 55× | frac-sub |
| 54× | swap-sqr pow-pow |
| 52× | distribute-lft-neg-in |
| 34× | sum-log |
| 32× | cbrt-div |
| 31× | associate-/l/ log-prod associate--l+ |
| 27× | +-commutative div-sub |
| 24× | frac-add |
| 22× | pow-prod-up pow-sub |
| 19× | pow-sqr |
| 18× | exp-diff diff-log |
| 16× | cos-sum pow-neg log-div |
| 14× | cube-div |
| 13× | neg-sub0 |
| 10× | associate-+r+ |
| 9× | pow2 |
| 8× | pow-plus rem-exp-log cos-diff |
| 7× | un-div-inv exp-sum rem-log-exp |
| 6× | pow-flip |
| 5× | rem-cube-cbrt unpow3 cube-mult asin-acos |
| 4× | inv-pow unpow1/2 neg-mul-1 associate-+r- |
| 3× | exp-to-pow |
| 2× | sqrt-unprod unsub-neg acos-asin associate--r- |
| 1× | difference-cubes sqrt-pow2 rem-square-sqrt sub-div mul0 rem-cbrt-cube |
Total 53.0b remaining (24.4%)
Threshold costs 3.6b (1.7%)
| 11.7b | 12.7% | Toniolo and Linder, Equation (13) |
| 7.1b | 17.6% | Toniolo and Linder, Equation (10+) |
| 6.3b | -3.6% | Given's Rotation SVD example |
| 5.4b | 77.5% | Toniolo and Linder, Equation (7) |
| 4.8b | 37.8% | Henrywood and Agarwal, Equation (3) |