| Date: | Thursday, March 19th, 2020 |
|---|---|
| Commit: | 2b8af9a1 on simpler-alts |
| Hostname: | warfa with Racket 7.5 |
| Seed: | 2020079 |
| Parameters: | 256 points for 4 iterations |
| Flags: | setup:simplifyrules:numericsrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:complexrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifyreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:doubleprecision:fallback +o rules:numerics |
437 calls:
| 4.9s | (sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- 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 l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))) |
| 4.8s | (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*)))))) |
| 1.6s | (* (* (* 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 |
| 15.9s | 31062× | body | 1280 | valid |
| 15.8s | 247966× | body | 80 | valid |
| 10.8s | 165419× | body | 80 | nan |
| 8.5s | 8665× | body | 2560 | valid |
| 7.2s | 20789× | body | 640 | valid |
| 5.4s | 3363× | body | 5120 | valid |
| 2.4s | 10269× | body | 320 | valid |
| 1.4s | 9175× | body | 160 | valid |
| 864.0ms | 2602× | body | 1280 | nan |
| 591.0ms | 2359× | body | 640 | nan |
| 320.0ms | 623× | body | 10240 | exit |
| 224.0ms | 1263× | body | 320 | nan |
| 107.0ms | 8256× | pre | 80 | true |
| 73.0ms | 630× | body | 160 | nan |
| 176× | egg-herbie |
Total 42.3b remaining (23.1%)
Threshold costs 4.7b (2.6%)
| 7.7b | 14.5% | Toniolo and Linder, Equation (13) |
| 7.0b | 8.4% | Toniolo and Linder, Equation (10+) |
| 6.2b | 41.6% | Henrywood and Agarwal, Equation (3) |
| 5.6b | 76.3% | Toniolo and Linder, Equation (7) |
| 4.0b | 23.8% | Henrywood and Agarwal, Equation (12) |
| 116× | rewrite-expression-head |
437 calls:
| 78.0ms | (* (* (* (pow (/ (* (cbrt d) (cbrt d)) (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ (cbrt d) (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 (pow (/ (* M D) (* 2.0 d)) 2.0)) h) (* 2.0 l)))) |
| 76.0ms | (* (* (* (pow (/ (* (cbrt d) (cbrt d)) (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ (cbrt d) (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)))) |
| 74.0ms | (/ 2.0 (* (* (* (/ (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)))) |
| 70.0ms | (/ 2.0 (* (* (* (* (/ (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))) |
| 63.0ms | (* (* (* (* (/ (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)) |
| 46445× | add-exp-log |
| 31020× | prod-exp |
| 14886× | pow-exp |
| 14698× | div-exp |
| 7253× | pow-to-exp |
| 3725× | add-sqr-sqrt |
| 3707× | *-un-lft-identity |
| 3214× | add-cbrt-cube |
| 2685× | times-frac |
| 2611× | add-cube-cbrt |
| 1553× | cbrt-unprod |
| 1470× | frac-times |
| 1347× | pow1 |
| 1291× | sqrt-div |
| 845× | associate-*l/ |
| 836× | associate-*r/ |
| 830× | associate-*r* |
| 819× | associate-*l* |
| 769× | sqrt-prod |
| 693× | unpow-prod-down |
| 665× | cbrt-undiv |
| 651× | flip-- flip3-- |
| 587× | rec-exp 1-exp |
| 526× | cbrt-prod |
| 510× | add-log-exp |
| 483× | pow-prod-down |
| 472× | prod-diff |
| 439× | expm1-log1p-u |
| 438× | log1p-expm1-u |
| 390× | distribute-lft-out-- |
| 348× | associate-/l* |
| 344× | distribute-rgt-neg-in |
| 317× | pow-unpow |
| 296× | distribute-lft-neg-in |
| 282× | associate-/r/ |
| 280× | associate-/r* |
| 272× | unswap-sqr distribute-lft-out |
| 242× | div-inv |
| 225× | flip-+ flip3-+ |
| 220× | difference-of-squares |
| 217× | distribute-rgt-in distribute-lft-in |
| 213× | exp-prod |
| 199× | sqr-pow |
| 157× | sqrt-pow1 |
| 152× | tan-quot |
| 150× | *-commutative |
| 122× | cbrt-div |
| 96× | fma-def |
| 94× | clear-num frac-2neg |
| 77× | pow1/2 |
| 68× | swap-sqr |
| 61× | sub-neg |
| 55× | pow1/3 |
| 46× | rem-sqrt-square |
| 44× | pow-pow |
| 43× | div-sub |
| 42× | associate-/l/ associate--l+ |
| 37× | neg-mul-1 |
| 36× | hypot-def log-prod |
| 34× | pow-prod-up fma-neg |
| 33× | cos-sum |
| 32× | fma-udef unpow2 frac-sub |
| 26× | sum-log |
| 24× | pow-sqr |
| 22× | +-commutative |
| 18× | pow-sub neg-sub0 exp-sum |
| 11× | associate--r+ |
| 10× | diff-log distribute-neg-frac |
| 7× | exp-diff distribute-frac-neg |
| 6× | rem-exp-log associate-+r+ pow2 frac-add pow-flip pow-plus cube-prod rem-log-exp |
| 5× | acos-asin |
| 4× | pow-neg associate-+r- inv-pow log-pow hypot-udef unsub-neg neg-log |
| 3× | asin-acos log1p-udef exp-neg log1p-expm1 cos-diff expm1-log1p expm1-udef |
| 2× | associate-+l+ sqrt-unprod unpow3 cube-mult rem-square-sqrt associate-+l- log-div |
| 1× | rem-cube-cbrt sqrt-undiv sqrt-pow2 un-div-inv associate--l- associate--r- mul0 rem-cbrt-cube |