| 58× | intervals |
| 1.0m | 248745× | body | 80 | valid |
| 41.0s | 159692× | body | 80 | nan |
| 33.7s | 21557× | body | 1280 | valid |
| 19.6s | 8502× | body | 10240 | exit |
| 17.7s | 14718× | body | 640 | valid |
| 8.4s | 5807× | body | 2560 | valid |
| 8.0s | 7655× | body | 320 | valid |
| 5.3s | 2434× | body | 5120 | valid |
| 3.8s | 8297× | body | 160 | valid |
| 628.0ms | 597× | body | 1280 | nan |
| 527.0ms | 664× | body | 640 | nan |
| 349.0ms | 8256× | pre | 80 | true |
| 212.0ms | 320× | body | 320 | nan |
| 79.0ms | 219× | body | 160 | nan |
441 calls:
| 1.9s | (* (* (/ (/ (cbrt 2) (cbrt (tan k))) (/ (* (fma (/ k t) (/ k t) 2) t) (/ (cbrt 2) (cbrt (tan k))))) (/ l t)) (/ (* (/ (cbrt (cbrt 2)) (cbrt (cbrt (tan k)))) (/ (cbrt (cbrt 2)) (cbrt (cbrt (tan k))))) (* (cbrt (sin k)) (cbrt (sin k))))) |
| 1.8s | (* (* (* (pow (* (/ (cbrt d) (cbrt h)) (/ (cbrt d) (cbrt h))) 1/2) (pow (/ (cbrt d) (cbrt h)) (/ 1 2))) (* (sqrt (/ 1 (* (cbrt l) (cbrt l)))) (sqrt (/ d (cbrt l))))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) |
| 1.5s | (sqrt (* (* (* 2 n) U) (- (- t (* 2 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2)) (- U U*))))) |
| 1.5s | (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) |
| 1.5s | (* (* (* (pow (* (/ (cbrt d) (cbrt h)) (/ (cbrt d) (cbrt h))) 1/2) (pow (/ (cbrt d) (cbrt h)) (/ 1 2))) (* (sqrt (/ 1 (* (cbrt l) (cbrt l)))) (sqrt (/ d (cbrt l))))) (- 1 (/ (* h (* (/ (* M D) (* d 2)) (/ (* M D) (* d 2)))) (* 2 l)))) |
| 117× | rewrite-expression-head |
441 calls:
| 3.1s | (* (/ c0 (* w 2)) (+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h))) |
| 3.1s | (* (/ c0 (* w 2)) (+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h))) |
| 1.5s | (+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) |
| 1.4s | (+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) |
| 1.4s | (+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) |
| 87984× | times-frac |
| 45715× | add-exp-log |
| 40472× | *-un-lft-identity |
| 38870× | add-sqr-sqrt |
| 37884× | add-cube-cbrt |
| 24295× | div-exp |
| 23513× | cbrt-prod |
| 20236× | add-cbrt-cube |
| 18352× | prod-exp |
| 16260× | cbrt-undiv |
| 11474× | cbrt-unprod |
| 11412× | associate-*r* |
| 10961× | sqrt-prod |
| 3413× | associate-*l* |
| 3151× | div-inv |
| 2667× | 1-exp |
| 1439× | pow1 |
| 1347× | associate-/r/ |
| 1224× | prod-diff |
| 1173× | rec-exp |
| 1137× | associate-/l* |
| 1107× | distribute-lft-out |
| 830× | associate-/r* |
| 534× | sqrt-div |
| 492× | distribute-neg-in |
| 485× | add-log-exp |
| 449× | associate-*r/ |
| 442× | log1p-expm1-u |
| 441× | expm1-log1p-u insert-posit16 |
| 434× | distribute-rgt-in distribute-lft-in |
| 419× | fma-def |
| 401× | pow-prod-down |
| 357× | cbrt-div |
| 344× | pow-exp |
| 306× | tan-quot |
| 294× | exp-sum |
| 268× | log-prod |
| 257× | pow-unpow |
| 249× | unswap-sqr |
| 201× | distribute-lft-out-- |
| 186× | sqrt-pow1 |
| 180× | frac-times |
| 179× | unpow-prod-down |
| 176× | associate-*l/ |
| 175× | flip3-- flip-- |
| 171× | difference-of-squares |
| 152× | flip-+ flip3-+ |
| 133× | pow1/2 |
| 130× | pow-prod-up |
| 128× | frac-2neg clear-num |
| 125× | *-commutative |
| 114× | pow-to-exp |
| 94× | swap-sqr |
| 84× | sqr-pow |
| 70× | fma-neg |
| 67× | rem-sqrt-square |
| 66× | associate-/l/ |
| 62× | pow-sqr |
| 59× | sub-neg |
| 58× | fma-udef |
| 54× | log-pow |
| 47× | pow-plus |
| 35× | exp-prod |
| 34× | pow2 |
| 27× | pow1/3 |
| 25× | div-sub frac-add |
| 22× | pow-pow |
| 20× | un-div-inv |
| 15× | pow-flip |
| 13× | pow-sub |
| 12× | associate--l+ |
| 11× | frac-sub diff-log |
| 10× | sum-log +-commutative inv-pow unpow2 cos-sum |
| 9× | hypot-def |
| 6× | sqrt-unprod rem-log-exp |
| 4× | rem-square-sqrt acos-asin |
| 3× | associate-+r- hypot-udef asin-acos |
| 2× | expm1-log1p expm1-udef cube-unmult exp-to-pow cos-diff |
| 1× | neg-sub0 remove-posit16 exp-diff sqrt-undiv exp-neg sin-mult sub-div sqr-sin rem-exp-log |
Total 44.2b remaining (29.2%)
Threshold costs 3.6b (2.4%)
| 8.7b | 24.1% | Toniolo and Linder, Equation (13) |
| 8.0b | 12.2% | Henrywood and Agarwal, Equation (13) |
| 7.6b | 41.9% | Henrywood and Agarwal, Equation (3) |
| 5.1b | 78.1% | Toniolo and Linder, Equation (7) |
| 4.9b | 17.1% | Henrywood and Agarwal, Equation (12) |