16384 calls:
| 3.9s | (/ (/ (* (/ (* (* (* M M) M) (* (* D D) D)) (* (* (* d 2) (* d 2)) (* d 2))) (/ (* (* (* M M) M) (* (* D D) D)) (* (* (* d 2) (* d 2)) (* d 2)))) (* (* 2 2) 2)) (* (* l l) l)) |
| 3.4s | (/ (/ (* (/ (* (* (* M M) M) (* (* D D) D)) (* (* (* d d) d) (* (* 2 2) 2))) (/ (* (* (* M M) M) (* (* D D) D)) (* (* (* d d) d) (* (* 2 2) 2)))) (* (* 2 2) 2)) (* (* l l) l)) |
| 2.5s | (/ (* (* (/ 2 (fma (/ k t) (/ k t) 2)) (/ 2 (fma (/ k t) (/ k t) 2))) (/ 2 (fma (/ k t) (/ k t) 2))) (/ (* (* (* (* t t) t) (/ (* (* (sin k) (sin k)) (sin k)) (/ (* (* l l) l) (* (* t t) t)))) (/ (* (* (sin k) (sin k)) (sin k)) (/ (* (* l l) l) (* (* t t) t)))) (* (* (cos k) (cos k)) (cos k)))) |
| 2.1s | (/ (/ (* (* 2 2) 2) (* (* (fma (/ k t) (/ k t) 2) (fma (/ k t) (/ k t) 2)) (fma (/ k t) (/ k t) 2))) (/ (* (* (* (* t (/ (sin k) (/ l t))) (* t (/ (sin k) (/ l t)))) (* t (/ (sin k) (/ l t)))) (* (* (/ (sin k) (/ l t)) (/ (sin k) (/ l t))) (/ (sin k) (/ l t)))) (* (* (cos k) (cos k)) (cos k)))) |
| 2.0s | (* (* (* h h) h) (* (* (* (/ 1 l) (/ 1 l)) (/ 1 l)) (/ (* (* (* M M) M) (* (* D D) D)) (* (* (* 2 d) (* 2 d)) (* 2 d))))) |
| 57× | intervals |
| 1.0m | 242107× | body | 80 | valid |
| 40.4s | 152570× | body | 80 | nan |
| 33.8s | 21702× | body | 1280 | valid |
| 19.4s | 8484× | body | 10240 | exit |
| 18.5s | 15235× | body | 640 | valid |
| 9.7s | 5745× | body | 2560 | valid |
| 6.9s | 7523× | body | 320 | valid |
| 5.8s | 2412× | body | 5120 | valid |
| 4.3s | 8084× | body | 160 | valid |
| 988.0ms | 584× | body | 1280 | nan |
| 588.0ms | 636× | body | 640 | nan |
| 362.0ms | 8256× | pre | 80 | true |
| 179.0ms | 320× | body | 320 | nan |
| 68.0ms | 188× | body | 160 | nan |
433 calls:
| 2.4s | (* (- (* (/ (- Ec (+ (+ Vef mu) EDonor)) KbT) (/ (- Ec (+ (+ Vef mu) EDonor)) KbT))) (/ (- Ec (+ (+ Vef mu) EDonor)) KbT)) |
| 1.7s | (sqrt (* (* (* 2 n) U) (- (- t (* 2 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2)) (- U U*))))) |
| 1.7s | (sqrt (* (* (* 2 n) U) (- (- t (* 2 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2)) (- U U*))))) |
| 1.7s | (sqrt (* (* (* 2 n) U) (- (- t (* 2 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2)) (- U U*))))) |
| 1.6s | (sqrt (* (* 2 n) (* U (- (- t (* 2 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2)) (- U U*)))))) |
| 113× | rewrite-expression-head |
433 calls:
| 4.2s | (* (/ c0 (* w 2)) (+ (sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M))) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w))) |
| 1.8s | (+ (sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M))) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) |
| 1.3s | (/ NdChar (+ (exp (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)) 1)) |
| 709.0ms | (* (+ 1 (exp (/ (+ EAccept (- (+ Ev Vef) mu)) KbT))) (+ 1 (exp (/ (+ EAccept (- (+ Ev Vef) mu)) KbT)))) |
| 674.0ms | (+ (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M)))) |
| 62495× | times-frac |
| 28770× | *-un-lft-identity |
| 28536× | add-sqr-sqrt |
| 28155× | sqrt-prod |
| 27340× | add-cube-cbrt |
| 6337× | add-exp-log |
| 3796× | add-cbrt-cube |
| 2680× | prod-exp |
| 2101× | div-exp |
| 1762× | associate-/r/ |
| 1724× | div-inv |
| 1397× | sqrt-div |
| 1390× | cbrt-undiv |
| 1387× | pow1 |
| 1363× | associate-*r* |
| 1217× | associate-/l* |
| 1184× | cbrt-unprod |
| 1137× | prod-diff |
| 923× | associate-/r* |
| 852× | associate-*l* |
| 843× | cbrt-prod |
| 751× | flip-- flip3-- |
| 479× | distribute-lft-out add-log-exp |
| 475× | pow-exp |
| 453× | associate-*r/ |
| 433× | expm1-log1p-u log1p-expm1-u insert-posit16 |
| 397× | pow-prod-down |
| 374× | frac-times |
| 368× | difference-of-squares |
| 330× | associate-*l/ |
| 325× | distribute-lft-out-- |
| 321× | pow-to-exp |
| 309× | unpow-prod-down |
| 290× | unswap-sqr |
| 253× | swap-sqr |
| 205× | pow-unpow |
| 200× | distribute-rgt-in distribute-lft-in |
| 158× | 1-exp |
| 156× | rec-exp |
| 143× | *-commutative |
| 136× | sqrt-pow1 |
| 110× | frac-2neg clear-num |
| 100× | sqr-pow |
| 97× | pow-prod-up |
| 87× | div-sub |
| 82× | pow1/3 |
| 77× | pow-sub |
| 76× | exp-prod |
| 74× | log-pow |
| 70× | pow1/2 |
| 67× | pow-sqr |
| 65× | sub-neg |
| 60× | associate--l+ |
| 57× | distribute-lft-neg-in distribute-rgt-neg-in associate-/l/ |
| 53× | fma-neg |
| 51× | flip-+ flip3-+ rem-sqrt-square |
| 50× | pow-plus |
| 45× | cbrt-div |
| 41× | pow2 |
| 38× | fma-def fma-udef |
| 34× | frac-sub tan-quot |
| 30× | frac-add |
| 25× | pow-flip |
| 24× | exp-sum |
| 21× | difference-of-sqr-1 cos-sum |
| 18× | log-prod |
| 17× | pow-pow |
| 16× | distribute-neg-frac |
| 15× | inv-pow |
| 11× | sum-log +-commutative diff-log |
| 10× | unpow2 |
| 9× | neg-mul-1 |
| 7× | sqrt-undiv un-div-inv |
| 6× | pow-div |
| 5× | sin-sum asin-acos |
| 4× | rem-log-exp rem-exp-log |
| 3× | associate-+r- hypot-udef cos-diff |
| 2× | neg-sub0 exp-diff associate-+r+ distribute-frac-neg sqrt-unprod acos-asin |
| 1× | distribute-lft-neg-out sqr-sin sin-mult rem-square-sqrt associate--r- sin-diff |
Total 38.6b remaining (26.8%)
| 9.7b | -5.1% | Henrywood and Agarwal, Equation (13) |
| 8.2b | 32.4% | Toniolo and Linder, Equation (13) |
| 5.2b | -36.8% | Maksimov and Kolovsky, Equation (3) |
| 5.0b | 78.5% | Toniolo and Linder, Equation (7) |
| 3.7b | 0% | Henrywood and Agarwal, Equation (12) |