| 60× | intervals |
| 1.0m | 257610× | body | 80 | valid |
| 46.0s | 27972× | body | 1280 | valid |
| 43.9s | 160268× | body | 80 | nan |
| 23.3s | 18950× | body | 640 | valid |
| 20.1s | 8621× | body | 10240 | exit |
| 14.1s | 7950× | body | 2560 | valid |
| 10.9s | 3405× | body | 5120 | valid |
| 8.7s | 9698× | body | 320 | valid |
| 4.7s | 8913× | body | 160 | valid |
| 976.0ms | 669× | body | 640 | nan |
| 597.0ms | 581× | body | 1280 | nan |
| 553.0ms | 355× | body | 320 | nan |
| 345.0ms | 8256× | pre | 80 | true |
| 68.0ms | 211× | body | 160 | nan |
447 calls:
| 4.0s | (sqrt (* (* U 2) (+ (* t n) (* (* (- n) (- (* l 2) (* (* (- n) (/ l Om)) (- U U*)))) (/ l Om))))) |
| 3.4s | (sqrt (* (* U 2) (+ (* t n) (* (- n) (* (- (* l 2) (* (* (- n) (/ l Om)) (- U U*))) (/ l Om)))))) |
| 1.8s | (sqrt (* (* U 2) (* n (- t (* (/ l Om) (- (* 2 l) (* (* (- n) (- U U*)) (/ l Om)))))))) |
| 1.4s | (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) |
| 1.2s | (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) |
| 114× | rewrite-expression-head |
447 calls:
| 662.0ms | (/ NdChar (+ (exp (/ (- mu (- (- Ec Vef) EDonor)) KbT)) 1)) |
| 560.0ms | (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) |
| 504.0ms | (/ (- 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) |
| 474.0ms | (* (- (+ (* (+ a 3) (* b b)) (* a a)) (* a (* a a))) 4) |
| 454.0ms | (* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d))) |
| 86104× | times-frac |
| 36540× | add-sqr-sqrt |
| 36136× | *-un-lft-identity |
| 35152× | add-cube-cbrt |
| 10038× | sqrt-prod |
| 8505× | add-exp-log |
| 7433× | add-cbrt-cube |
| 3752× | div-inv |
| 3429× | div-exp |
| 3195× | prod-exp |
| 3132× | associate-/l* |
| 2874× | cbrt-unprod |
| 2865× | cbrt-undiv |
| 1558× | pow1 |
| 1376× | associate-/r/ |
| 1308× | associate-*r* |
| 1259× | associate-/r* |
| 962× | associate-*l* |
| 772× | sqrt-div |
| 767× | flip-+ flip3-+ |
| 722× | difference-of-squares |
| 593× | cbrt-prod |
| 568× | frac-times |
| 567× | add-log-exp |
| 447× | insert-posit16 |
| 442× | pow-prod-down |
| 433× | associate-*r/ |
| 406× | associate-*l/ |
| 323× | unswap-sqr |
| 290× | flip3-- flip-- |
| 223× | distribute-lft-out |
| 179× | unpow-prod-down |
| 169× | sqrt-pow1 |
| 153× | *-commutative |
| 130× | distribute-lft-out-- |
| 121× | rem-sqrt-square |
| 120× | pow1/2 |
| 119× | pow-exp |
| 103× | pow-prod-up |
| 101× | pow-to-exp |
| 100× | frac-2neg clear-num |
| 98× | sqr-pow |
| 92× | swap-sqr |
| 91× | 1-exp frac-add |
| 88× | associate-/l/ |
| 87× | cbrt-div |
| 81× | rec-exp sin-mult |
| 64× | log-pow |
| 59× | distribute-rgt-in distribute-lft-in |
| 58× | pow-plus |
| 53× | distribute-rgt-out-- |
| 50× | pow-sqr |
| 48× | pow-unpow sub-neg |
| 44× | sum-log |
| 36× | pow1/3 |
| 35× | pow2 |
| 28× | exp-prod |
| 25× | +-commutative pow-pow |
| 23× | diff-log |
| 20× | cube-prod |
| 19× | div-sub |
| 15× | tan-quot |
| 14× | associate--r+ |
| 12× | log-prod cube-div |
| 11× | distribute-lft-neg-out |
| 9× | distribute-rgt-neg-in distribute-lft-neg-in |
| 8× | associate-+l+ difference-of-sqr-1 |
| 7× | remove-posit16 asin-acos |
| 6× | associate-+r+ cube-unmult |
| 4× | pow-flip associate--l+ pow3 inv-pow associate--r- |
| 3× | exp-sum neg-mul-1 un-div-inv sqr-sin rem-log-exp |
| 2× | exp-diff frac-sub unpow3 cube-mult cos-sum rem-cbrt-cube acos-asin log-div distribute-rgt1-in |
| 1× | unpow1/2 sub-div sqrt-pow2 exp-to-pow cos-diff |
Total 39.8b remaining (20.4%)
Threshold costs 3.4b (1.8%)
| 7.6b | 7.1% | Maksimov and Kolovsky, Equation (3) |
| 6.2b | 29.9% | Toniolo and Linder, Equation (13) |
| 5.5b | 76.4% | Toniolo and Linder, Equation (7) |
| 4.9b | 22.6% | Henrywood and Agarwal, Equation (13) |
| 3.5b | 29.7% | Henrywood and Agarwal, Equation (12) |