| Date: | Saturday, February 22nd, 2020 |
|---|---|
| Commit: | 72c1b946 on refactor-and-minor |
| Hostname: | warfa with Racket 7.5 |
| Seed: | 2020053 |
| Parameters: | 256 points for 4 iterations |
| Flags: | setup:simplifyrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:complexrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifyreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:doubleprecision:fallback default |
436 calls:
| 5.1s | (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*))))) |
| 4.9s | (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*)))))) |
| 4.8s | (sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))) |
| 4.7s | (sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))) |
| 2.5s | (pow (pow E (sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))) (sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))) |
| 61× | intervals |
| 16.0s | 29334× | body | 1280 | valid |
| 15.4s | 252270× | body | 80 | valid |
| 9.6s | 160524× | body | 80 | nan |
| 8.7s | 8782× | body | 2560 | valid |
| 7.3s | 20088× | body | 640 | valid |
| 5.0s | 3325× | body | 5120 | valid |
| 2.3s | 9646× | body | 320 | valid |
| 1.3s | 9085× | body | 160 | valid |
| 377.0ms | 684× | body | 10240 | exit |
| 157.0ms | 627× | body | 1280 | nan |
| 141.0ms | 645× | body | 640 | nan |
| 112.0ms | 8256× | pre | 80 | true |
| 52.0ms | 354× | body | 320 | nan |
| 18.0ms | 186× | body | 160 | nan |
| 116× | rewrite-expression-head |
436 calls:
| 1.3s | (* (* (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0)) |
| 1.3s | (* (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0)) |
| 1.2s | (* (* (* (pow (/ 1 (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (* (pow (/ 1 (cbrt (* (cbrt h) (cbrt h)))) (/ 1.0 2.0)) (pow (/ d (cbrt (cbrt h))) (/ 1.0 2.0)))) (* (pow (/ (* (cbrt d) (cbrt d)) (* (cbrt l) (cbrt l))) (/ 1.0 2.0)) (pow (/ (cbrt d) (cbrt l)) (/ 1.0 2.0)))) (- 1.0 (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l)))) |
| 1.0s | (exp (- (- (pow (- (/ (+ m n) 2.0) M) 2.0)) (- l (fabs (- m n))))) |
| 995.0ms | (exp (- (- (pow (- (/ (+ m n) 2.0) M) 2.0)) (- l (fabs (- m n))))) |
| 91118× | add-exp-log |
| 68050× | prod-exp |
| 37160× | pow-exp |
| 26006× | div-exp |
| 14327× | pow-to-exp |
| 4372× | 1-exp |
| 4354× | rec-exp |
| 3122× | add-sqr-sqrt |
| 3100× | *-un-lft-identity |
| 2813× | add-cbrt-cube |
| 2458× | times-frac |
| 2308× | add-cube-cbrt |
| 1328× | pow1 |
| 1314× | cbrt-unprod |
| 1015× | sqrt-prod |
| 944× | associate-*l* |
| 926× | unpow-prod-down |
| 884× | associate-*r* |
| 564× | add-log-exp |
| 547× | associate-*r/ |
| 495× | cbrt-undiv |
| 446× | frac-times |
| 427× | pow-prod-down |
| 419× | pow-unpow |
| 411× | associate-*l/ |
| 333× | distribute-lft-out |
| 315× | sqrt-div |
| 312× | unswap-sqr |
| 274× | sqr-pow |
| 272× | associate-/l* |
| 266× | associate-/r* |
| 233× | cbrt-prod |
| 214× | flip-+ flip3-+ |
| 204× | flip3-- flip-- |
| 201× | div-inv |
| 161× | distribute-rgt-neg-in |
| 158× | *-commutative |
| 144× | distribute-lft-out-- |
| 133× | associate-/r/ |
| 106× | tan-quot |
| 105× | sqrt-pow1 |
| 98× | distribute-lft-neg-in |
| 93× | difference-of-squares |
| 87× | distribute-rgt-in distribute-lft-in |
| 79× | clear-num frac-2neg |
| 75× | sub-neg |
| 72× | pow1/2 |
| 66× | unpow2 |
| 64× | rem-sqrt-square |
| 60× | exp-prod |
| 53× | pow-pow |
| 47× | frac-sub |
| 44× | associate-/l/ |
| 41× | pow-prod-up |
| 40× | pow1/3 |
| 39× | sum-log |
| 33× | +-commutative |
| 32× | frac-add |
| 31× | div-sub |
| 30× | associate--l+ |
| 28× | diff-log |
| 27× | pow-sqr |
| 25× | pow-sub |
| 21× | pow-plus |
| 16× | cos-sum log-pow log-prod pow2 |
| 13× | neg-sub0 swap-sqr exp-sum |
| 12× | neg-mul-1 |
| 11× | rem-exp-log |
| 10× | cbrt-div |
| 9× | pow-neg |
| 8× | cos-diff associate-+r+ |
| 7× | cube-prod |
| 6× | exp-diff inv-pow pow-flip neg-log asin-acos |
| 5× | un-div-inv |
| 4× | cube-div associate--r- distribute-neg-frac associate--r+ |
| 3× | rem-cube-cbrt unpow3 associate-+l+ e-exp-1 cube-mult rem-log-exp |
| 2× | unsub-neg distribute-frac-neg associate-+r- |
| 1× | associate--l- acos-asin sub-div mul0 rem-cbrt-cube log-div |
| 176× | egg-herbie |
Total 45.1b remaining (20.2%)
Threshold costs 6.0b (2.7%)
| 9.5b | 36% | Henrywood and Agarwal, Equation (3) |
| 6.8b | 25.5% | Toniolo and Linder, Equation (13) |
| 6.4b | 15.4% | Toniolo and Linder, Equation (10+) |
| 6.2b | 73.8% | Toniolo and Linder, Equation (7) |
| 5.1b | 29.3% | Henrywood and Agarwal, Equation (12) |