439 calls:
| 4.7s | (sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))))) |
| 4.7s | (sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* (* (* n (pow (/ (* (cbrt l) (cbrt l)) 1) (/ 2.0 2))) (pow (/ (cbrt l) Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))))) |
| 4.6s | (sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))) |
| 4.5s | (sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))) |
| 1.4s | (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*)))) |
| 61× | intervals |
| 15.6s | 29350× | body | 1280 | valid |
| 15.5s | 253224× | body | 80 | valid |
| 9.5s | 158091× | body | 80 | nan |
| 8.8s | 8786× | body | 2560 | valid |
| 7.5s | 20641× | body | 640 | valid |
| 5.3s | 3346× | body | 5120 | valid |
| 2.4s | 9945× | body | 320 | valid |
| 1.3s | 9119× | body | 160 | valid |
| 418.0ms | 677× | body | 10240 | exit |
| 147.0ms | 617× | body | 1280 | nan |
| 115.0ms | 615× | body | 640 | nan |
| 104.0ms | 8256× | pre | 80 | true |
| 46.0ms | 340× | body | 320 | nan |
| 18.0ms | 195× | body | 160 | nan |
| 115× | rewrite-expression-head |
439 calls:
| 2.8s | (* (* (* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (/ (pow (cbrt t) 3.0) l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0)) |
| 2.7s | (* (* (* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (/ (pow t (* 1/3 3.0)) l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0)) |
| 1.3s | (/ (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))) (sqrt NdChar)) |
| 916.0ms | (* (* (* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (/ (pow (cbrt t) 3.0) l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0)) |
| 840.0ms | (/ (sqrt NdChar) (/ (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))) (sqrt NdChar))) |
| 53651× | add-exp-log |
| 39642× | prod-exp |
| 27304× | pow-exp |
| 18793× | div-exp |
| 12563× | pow-to-exp |
| 4213× | add-sqr-sqrt |
| 4107× | 1-exp |
| 4061× | rec-exp |
| 3832× | *-un-lft-identity |
| 3809× | times-frac |
| 3052× | add-cube-cbrt |
| 2482× | add-cbrt-cube |
| 1927× | sqrt-prod |
| 1271× | pow1 |
| 1057× | cbrt-unprod associate-*r* |
| 1032× | associate-*r/ |
| 960× | unpow-prod-down |
| 752× | associate-*l* |
| 735× | cbrt-prod |
| 663× | sqrt-div |
| 549× | add-log-exp |
| 548× | frac-times |
| 485× | cbrt-div |
| 443× | associate-*l/ |
| 424× | cbrt-undiv |
| 415× | pow-prod-down |
| 390× | associate-/l* |
| 389× | flip3-- flip-- |
| 368× | pow-unpow |
| 343× | associate-/r* |
| 327× | unswap-sqr |
| 297× | flip-+ flip3-+ associate-/r/ |
| 289× | sqr-pow |
| 259× | distribute-lft-out |
| 250× | difference-of-squares |
| 244× | div-inv |
| 180× | distribute-lft-out-- |
| 148× | *-commutative |
| 139× | distribute-rgt-neg-in |
| 123× | sqrt-pow1 |
| 118× | pow1/3 |
| 115× | unpow2 |
| 108× | distribute-lft-neg-in |
| 95× | frac-2neg clear-num |
| 84× | swap-sqr |
| 75× | tan-quot |
| 71× | pow1/2 |
| 66× | distribute-rgt-in distribute-lft-in |
| 61× | frac-sub |
| 60× | pow-pow |
| 58× | sub-neg |
| 55× | rem-sqrt-square |
| 51× | sum-log |
| 40× | pow-prod-up |
| 36× | cube-div |
| 35× | associate-/l/ |
| 31× | frac-add |
| 29× | +-commutative |
| 28× | pow-sqr |
| 24× | div-sub |
| 22× | associate--l+ |
| 20× | pow-sub neg-sub0 |
| 19× | pow-neg |
| 16× | exp-diff pow-plus log-div |
| 14× | cube-prod |
| 12× | neg-mul-1 pow2 |
| 10× | associate-+r+ |
| 9× | diff-log un-div-inv |
| 7× | exp-prod distribute-neg-frac |
| 6× | neg-log |
| 5× | rem-cube-cbrt inv-pow sub-div pow-flip unpow3 cube-mult exp-sum log-prod |
| 4× | distribute-rgt-out-- log-pow associate--r+ |
| 3× | associate-+l+ associate-+r- unsub-neg associate-+l- |
| 2× | cos-sum sqrt-unprod rem-square-sqrt distribute-frac-neg acos-asin |
| 1× | sqrt-pow2 rem-exp-log unpow1/3 pow3 cos-diff mul0 rem-cbrt-cube |
| 175× | egg-herbie |
Total 47.8b remaining (21.7%)
Threshold costs 4.3b (2%)