| 59× | intervals |
| 59.3s | 246000× | body | 80 | valid |
| 41.7s | 23794× | body | 1280 | valid |
| 41.4s | 157259× | body | 80 | nan |
| 22.9s | 16648× | body | 640 | valid |
| 19.8s | 8681× | body | 10240 | exit |
| 8.2s | 8556× | body | 320 | valid |
| 7.9s | 5848× | body | 2560 | valid |
| 5.6s | 2430× | body | 5120 | valid |
| 5.2s | 8710× | body | 160 | valid |
| 658.0ms | 589× | body | 1280 | nan |
| 648.0ms | 326× | body | 320 | nan |
| 455.0ms | 601× | body | 640 | nan |
| 359.0ms | 8256× | pre | 80 | true |
| 71.0ms | 208× | body | 160 | nan |
450 calls:
| 2.2s | (sqrt (* (* U n) (* 2 (- t (* (/ l Om) (- (* 2 l) (* (/ n (/ Om l)) (- U* U)))))))) |
| 2.1s | (sqrt (* (* U n) (* 2 (- t (* (/ l Om) (- (* 2 l) (* (/ 1 (/ (/ Om l) n)) (- U* U)))))))) |
| 2.1s | (sqrt (* (* U n) (* 2 (- t (* (/ l Om) (- (* 2 l) (* (/ n (/ Om l)) (- U* U)))))))) |
| 1.9s | (sqrt (* (* U n) (* 2 (- t (* (/ l Om) (- (* 2 l) (* (/ n (/ Om l)) (- U* U)))))))) |
| 1.8s | (sqrt (* (* U n) (* 2 (- t (* (/ l Om) (- (* 2 l) (* (/ (/ n (* (cbrt (/ Om l)) (cbrt (/ Om l)))) (cbrt (/ Om l))) (- U* U)))))))) |
| 115× | rewrite-expression-head |
450 calls:
| 7.9s | (sqrt (- 1 (/ (/ M (/ d D)) (/ (/ l h) (/ (/ M (/ d D)) 4))))) |
| 2.0s | (/ (/ 1 (sqrt (+ (exp (/ (+ (- EDonor (- Ec Vef)) mu) KbT)) 1))) (sqrt (sqrt (+ (exp (/ (+ (- EDonor (- Ec Vef)) mu) KbT)) 1)))) |
| 1.8s | (/ (/ NdChar (sqrt (+ (exp (/ (+ (- EDonor (- Ec Vef)) mu) KbT)) 1))) (sqrt (+ (exp (/ (+ (- EDonor (- Ec Vef)) mu) KbT)) 1))) |
| 873.0ms | (sqrt (sqrt (+ (exp (/ (+ (- EDonor (- Ec Vef)) mu) KbT)) 1))) |
| 821.0ms | (sqrt (sqrt (+ (exp (/ (+ (- EDonor (- Ec Vef)) mu) KbT)) 1))) |
| 215946× | times-frac |
| 89126× | add-sqr-sqrt |
| 87561× | *-un-lft-identity |
| 86658× | add-cube-cbrt |
| 23535× | add-exp-log |
| 22413× | associate-*r* |
| 17171× | cbrt-prod |
| 14164× | add-cbrt-cube |
| 13676× | div-exp |
| 13093× | sqrt-prod |
| 8415× | cbrt-undiv |
| 7998× | div-inv |
| 6865× | prod-exp |
| 4825× | cbrt-unprod |
| 1974× | pow1 |
| 1518× | associate-/l* |
| 1485× | associate-/r* |
| 1449× | associate-*l* |
| 1221× | associate-/r/ |
| 750× | tan-quot |
| 729× | sqrt-div |
| 544× | add-log-exp |
| 542× | frac-times |
| 520× | pow-prod-down |
| 497× | unswap-sqr |
| 450× | insert-posit16 |
| 421× | flip-+ flip3-+ |
| 414× | 1-exp rec-exp |
| 391× | associate-*r/ |
| 358× | associate-*l/ |
| 310× | distribute-lft-out |
| 251× | pow-prod-up |
| 211× | difference-of-squares flip3-- flip-- |
| 171× | swap-sqr |
| 166× | associate-/l/ |
| 165× | sqrt-pow1 |
| 154× | *-commutative |
| 136× | pow-sqr |
| 129× | frac-add |
| 128× | unpow-prod-down |
| 127× | pow-plus |
| 124× | exp-prod pow1/2 |
| 102× | rem-sqrt-square |
| 100× | sub-neg |
| 93× | frac-2neg clear-num |
| 92× | distribute-lft-out-- |
| 91× | pow2 |
| 84× | unpow-prod-up |
| 75× | distribute-rgt-in distribute-lft-in |
| 71× | sqr-pow |
| 69× | pow-exp |
| 65× | pow-unpow |
| 50× | sin-mult |
| 48× | pow-to-exp |
| 29× | sum-log +-commutative |
| 27× | pow1/3 pow-flip |
| 21× | pow-pow |
| 18× | log-pow |
| 16× | div-sub |
| 15× | diff-log |
| 13× | inv-pow |
| 10× | cos-sum pow-sub |
| 9× | log-prod asin-acos |
| 8× | pow-div cube-unmult difference-of-sqr-1 sqr-sin associate-+l- |
| 7× | cbrt-div |
| 6× | associate-+r- pow3 |
| 5× | exp-diff rem-exp-log cos-diff |
| 4× | remove-posit16 frac-sub associate-+r+ |
| 3× | distribute-rgt-out-- rem-log-exp |
| 2× | associate-+l+ associate--l+ sqrt-unprod associate--r- |
| 1× | quot-tan sub-div sqrt-pow2 exp-to-pow unpow2 sum-cubes rem-cbrt-cube acos-asin distribute-rgt1-in |
Total 39.2b remaining (20.2%)
Threshold costs 5.1b (2.7%)
| 9.1b | 2.4% | Maksimov and Kolovsky, Equation (3) |
| 7.9b | 13% | Toniolo and Linder, Equation (13) |
| 5.4b | 76.7% | Toniolo and Linder, Equation (7) |
| 4.6b | -30.1% | Henrywood and Agarwal, Equation (13) |
| 2.8b | 18.8% | Henrywood and Agarwal, Equation (12) |