| 60× | intervals |
| 1.0m | 246813× | body | 80 | valid |
| 46.8s | 27460× | body | 1280 | valid |
| 34.1s | 160249× | body | 80 | nan |
| 24.5s | 18446× | body | 640 | valid |
| 22.5s | 8671× | body | 2560 | valid |
| 15.2s | 3391× | body | 5120 | valid |
| 9.0s | 9230× | body | 320 | valid |
| 5.3s | 8482× | body | 160 | valid |
| 2.0s | 818× | body | 10240 | exit |
| 1.0s | 624× | body | 1280 | nan |
| 763.0ms | 8256× | pre | 80 | true |
| 567.0ms | 646× | body | 640 | nan |
| 230.0ms | 348× | body | 320 | nan |
| 102.0ms | 205× | body | 160 | nan |
443 calls:
| 3.3s | (sqrt (* U (* (- t (* (- (* 2 l) (* (/ l Om) (* n (- U* U)))) (/ l Om))) (* 2 n)))) |
| 3.2s | (sqrt (* U (* (- t (* (- (* 2 l) (* (* (/ l Om) n) (- U* U))) (/ l Om))) (* 2 n)))) |
| 2.3s | (sqrt (* (* U n) (* 2 (- t (* (/ l Om) (- (* 2 l) (* (- U* U) (/ l (/ Om n))))))))) |
| 2.2s | (sqrt (* (* U n) (* 2 (- t (* (/ l Om) (- (* 2 l) (* (- U* U) (/ l (/ Om n))))))))) |
| 2.1s | (sqrt (* (* U n) (* 2 (- t (* (/ l Om) (- (* 2 l) (* (- U* U) (/ l (/ Om n))))))))) |
| 114× | rewrite-expression-head |
443 calls:
| 4.0s | (/ (+ (* (* (/ (/ d D) h) (/ c0 (/ w (/ d D)))) (* (/ (/ d D) h) (/ c0 (/ w (/ d D))))) (- (* (sqrt (- (* (* (/ (/ d D) h) (/ c0 (/ w (/ d D)))) (* (/ (/ d D) h) (/ c0 (/ w (/ d D))))) (* M M))) (sqrt (- (* (* (/ (/ d D) h) (/ c0 (/ w (/ d D)))) (* (/ (/ d D) h) (/ c0 (/ w (/ d D))))) (* M M)))) (* (* (/ (/ d D) h) (/ c0 (/ w (/ d D)))) (sqrt (- (* (* (/ (/ d D) h) (/ c0 (/ w (/ d D)))) (* (/ (/ d D) h) (/ c0 (/ w (/ d D))))) (* M M)))))) (/ (+ (- (* (* (/ (/ d D) h) (/ c0 (/ w (/ d D)))) (* (/ (/ d D) h) (/ c0 (/ w (/ d D))))) (* M M)) (* (- (* (/ (/ d D) h) (/ c0 (/ w (/ d D)))) (sqrt (- (* (* (/ (/ d D) h) (/ c0 (/ w (/ d D)))) (* (/ (/ d D) h) (/ c0 (/ w (/ d D))))) (* M M)))) (* (/ (/ d D) h) (/ c0 (/ w (/ d D)))))) (+ (* (/ (/ d D) h) (/ c0 (/ w (/ d D)))) (sqrt (- (* (* (/ (/ d D) h) (/ c0 (/ w (/ d D)))) (* (/ (/ d D) h) (/ c0 (/ w (/ d D))))) (* M M)))))) |
| 2.8s | (/ (+ (* (* (/ (/ d D) h) (/ c0 (/ w (/ d D)))) (* (* (/ (/ d D) h) (/ c0 (/ w (/ d D)))) (* (/ (/ d D) h) (/ c0 (/ w (/ d D)))))) (* (sqrt (- (* (* (/ (/ d D) h) (/ c0 (/ w (/ d D)))) (* (/ (/ d D) h) (/ c0 (/ w (/ d D))))) (* M M))) (- (* (* (/ (/ d D) h) (/ c0 (/ w (/ d D)))) (* (/ (/ d D) h) (/ c0 (/ w (/ d D))))) (* M M)))) (+ (- (* (* (/ (/ d D) h) (/ c0 (/ w (/ d D)))) (* (/ (/ d D) h) (/ c0 (/ w (/ d D))))) (* M M)) (* (- (* (/ (/ d D) h) (/ c0 (/ w (/ d D)))) (sqrt (- (* (* (/ (/ d D) h) (/ c0 (/ w (/ d D)))) (* (/ (/ d D) h) (/ c0 (/ w (/ d D))))) (* M M)))) (* (/ (/ d D) h) (/ c0 (/ w (/ d D))))))) |
| 1.3s | (* (/ (* (pow k m) a) (+ (* (* (* k (+ k 10)) (* k (+ k 10))) (* k (+ k 10))) 1)) (+ (* (* k (+ k 10)) (* k (+ k 10))) (- (* 1 1) (* (* k (+ k 10)) 1)))) |
| 802.0ms | (* (* (* (/ (* M D) (* 2 d)) (cbrt h)) (* (/ (* M D) (* 2 d)) (cbrt h))) (/ (cbrt h) l)) |
| 736.0ms | (* (exp (exp (/ (- mu (- (- Ec EDonor) Vef)) KbT))) E) |
| 294527× | times-frac |
| 86669× | add-sqr-sqrt |
| 86307× | *-un-lft-identity |
| 84932× | add-cube-cbrt |
| 46604× | cbrt-prod |
| 16625× | sqrt-prod |
| 14713× | frac-times |
| 12215× | div-inv |
| 10635× | associate-/r/ |
| 9541× | associate-*r/ |
| 8825× | associate-*l/ |
| 8667× | add-exp-log |
| 6711× | add-cbrt-cube |
| 6118× | sqrt-div |
| 4109× | associate-/r* |
| 3910× | div-exp |
| 3494× | frac-add |
| 3263× | cbrt-undiv |
| 2869× | prod-exp |
| 2715× | flip3-- flip-- |
| 2680× | cbrt-unprod |
| 1998× | associate-/l* |
| 1992× | associate-/l/ |
| 1797× | associate-*l* |
| 1576× | pow1 |
| 1412× | frac-sub |
| 1258× | flip-+ flip3-+ |
| 1203× | unpow-prod-down |
| 1102× | associate-*r* |
| 730× | difference-of-squares |
| 569× | add-log-exp |
| 507× | pow-prod-down |
| 443× | insert-posit16 |
| 434× | sqr-pow |
| 415× | distribute-lft-out |
| 344× | unswap-sqr |
| 315× | unpow-prod-up |
| 236× | swap-sqr |
| 228× | sqrt-pow1 |
| 204× | sub-neg |
| 156× | 1-exp |
| 152× | *-commutative |
| 140× | distribute-lft-out-- |
| 135× | pow1/2 |
| 126× | cbrt-div |
| 107× | pow-exp |
| 100× | frac-2neg rec-exp clear-num |
| 85× | pow-prod-up |
| 80× | rem-sqrt-square |
| 79× | sub-div |
| 73× | distribute-rgt-in distribute-lft-in |
| 62× | pow-to-exp exp-prod |
| 61× | sin-mult |
| 57× | log-prod pow1/3 |
| 53× | log-pow |
| 50× | pow-sqr |
| 49× | pow-unpow |
| 47× | sum-log |
| 41× | exp-sum pow-plus |
| 36× | pow-sub |
| 30× | tan-quot |
| 28× | pow2 |
| 27× | +-commutative |
| 23× | pow-pow diff-log |
| 22× | pow-flip associate-+r+ distribute-neg-in |
| 20× | div-sub |
| 19× | associate-+l+ |
| 13× | associate-+r- cube-unmult |
| 12× | inv-pow |
| 11× | log-div |
| 8× | rem-log-exp |
| 6× | exp-diff acos-asin |
| 5× | sum-cubes sqr-sin remove-posit16 |
| 4× | exp-neg sqrt-unprod un-div-inv rem-square-sqrt rem-exp-log |
| 3× | e-exp-1 |
| 2× | distribute-lft-neg-out distribute-rgt-neg-out associate--l+ asin-acos associate-+l- cos-sum |
| 1× | cos-mult pow3 difference-of-sqr-1 sqrt-pow2 exp-to-pow sqr-cos cos-diff |
Total 61.4b remaining (31.2%)
Threshold costs 4.8b (2.4%)
| 11.1b | 2.3% | Toniolo and Linder, Equation (13) |
| 11.1b | -10% | Henrywood and Agarwal, Equation (13) |
| 8.1b | -33.2% | Given's Rotation SVD example |
| 7.7b | 13.1% | Maksimov and Kolovsky, Equation (3) |
| 5.4b | 30.5% | Henrywood and Agarwal, Equation (3) |