| Date: | Tuesday, April 14th, 2020 |
|---|---|
| Commit: | 681051fe on overflow-detection-both-ends |
| Hostname: | warfa with Racket 7.5 |
| Seed: | 2020105 |
| 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 |
433 calls:
| 6.3s | (sqrt (* (* 2.0 n) (+ (* U (fma (* (cbrt t) (cbrt t)) (cbrt t) (- (* (/ l (/ Om l)) 2.0)))) (* U (- (fma (- (/ l (/ Om l))) 2.0 (* (/ l (/ Om l)) 2.0)) (* (* 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)) (- U U*)))))) |
| 4.7s | (* (* 2.0 n) (+ (* U (fma (* (cbrt t) (cbrt t)) (cbrt t) (- (* (/ l (/ Om l)) 2.0)))) (* U (- (fma (- (/ l (/ Om l))) 2.0 (* (/ l (/ Om l)) 2.0)) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))) |
| 4.6s | (sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))) |
| 4.6s | (sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))) |
| 61× | intervals |
| 19.9s | 248900× | body | 80 | valid |
| 18.6s | 30618× | body | 1280 | valid |
| 13.8s | 167260× | body | 80 | nan |
| 9.4s | 8723× | body | 2560 | valid |
| 8.8s | 21181× | body | 640 | valid |
| 5.5s | 3312× | body | 5120 | valid |
| 2.9s | 10232× | body | 320 | valid |
| 1.7s | 9204× | body | 160 | valid |
| 808.0ms | 1609× | body | 1280 | nan |
| 532.0ms | 1462× | body | 640 | nan |
| 376.0ms | 3108× | body | 80 | overflowed |
| 369.0ms | 595× | body | 5120 | exit |
| 195.0ms | 779× | body | 320 | nan |
| 156.0ms | 8256× | pre | 80 | true |
| 64.0ms | 388× | body | 160 | nan |
| 176× | egg-herbie |
Total 50.5b remaining (27.7%)
Threshold costs 4.9b (2.7%)
| 9.6b | 21.6% | Toniolo and Linder, Equation (13) |
| 8.0b | 0.4% | Toniolo and Linder, Equation (10+) |
| 7.3b | 48.5% | Henrywood and Agarwal, Equation (3) |
| 5.8b | 75.8% | Toniolo and Linder, Equation (7) |
| 5.7b | -17.5% | Toniolo and Linder, Equation (10-) |
| 116× | rewrite-expression-head |
433 calls:
| 1.1s | (* (pow (/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0)))) 1.0) (/ (/ (cos k) (/ (/ (pow (cbrt (sin k)) 4) l) l)) (pow (cbrt (sin k)) 2))) |
| 421.0ms | (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (fma a1 a1 (* a2 a2)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))) |
| 142.0ms | (* (/ (* (cos th) (fma a1 a1 (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))) |
| 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))) |
| 69.0ms | (* (* (* (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)) 1) (/ 1.0 2.0)) (pow (/ (cbrt d) l) (/ 1.0 2.0)))) (- 1.0 (/ (* (* 1.0 (pow (/ (* M D) (* 2.0 d)) 2.0)) h) (* 2.0 l)))) |
| 45445× | add-exp-log |
| 29165× | prod-exp |
| 19125× | times-frac |
| 16641× | div-exp |
| 14580× | pow-exp |
| 11404× | add-sqr-sqrt |
| 10211× | *-un-lft-identity |
| 9340× | add-cube-cbrt |
| 7403× | pow-to-exp |
| 5156× | associate-*r* |
| 4690× | unpow-prod-down |
| 4172× | sqrt-prod |
| 3148× | add-cbrt-cube |
| 2204× | cbrt-prod |
| 1767× | 1-exp |
| 1438× | cbrt-unprod |
| 1303× | rec-exp |
| 1159× | pow1 |
| 927× | sqr-pow |
| 880× | associate-*l* |
| 754× | prod-diff |
| 648× | cbrt-undiv |
| 535× | add-log-exp |
| 488× | unswap-sqr |
| 483× | associate-*r/ |
| 480× | frac-times |
| 458× | associate-*l/ |
| 436× | log1p-expm1-u |
| 434× | expm1-log1p-u |
| 433× | div-inv |
| 400× | associate-/l* |
| 390× | pow-prod-down |
| 375× | unpow2 |
| 368× | associate-/r* |
| 349× | pow-unpow |
| 284× | distribute-rgt-neg-in |
| 283× | distribute-rgt-in distribute-lft-in |
| 265× | distribute-lft-out |
| 251× | difference-of-squares |
| 241× | distribute-lft-out-- |
| 230× | sqrt-div |
| 229× | distribute-lft-neg-in |
| 214× | flip-- flip3-- |
| 157× | associate-/r/ |
| 149× | *-commutative |
| 148× | exp-prod |
| 131× | tan-quot |
| 124× | flip-+ flip3-+ |
| 101× | clear-num frac-2neg |
| 94× | fma-neg |
| 91× | fma-def |
| 82× | sub-neg |
| 69× | cos-sum |
| 62× | sqrt-pow1 |
| 59× | associate--l+ |
| 53× | log-pow |
| 47× | associate-/l/ pow1/3 |
| 43× | div-sub |
| 42× | exp-diff fma-udef |
| 40× | pow-pow |
| 33× | log-div |
| 31× | pow-sub |
| 30× | pow1/2 cube-prod |
| 29× | frac-sub |
| 28× | sum-log |
| 27× | rem-sqrt-square |
| 26× | diff-log |
| 25× | neg-mul-1 |
| 23× | +-commutative |
| 22× | associate--r+ |
| 20× | neg-sub0 |
| 19× | log-prod |
| 18× | cbrt-div |
| 15× | pow-neg |
| 13× | un-div-inv pow-prod-up |
| 12× | hypot-def swap-sqr |
| 11× | associate-+r+ |
| 10× | unpow3 cube-mult |
| 9× | distribute-rgt-neg-out |
| 8× | exp-neg pow-flip pow-plus |
| 7× | pow-sqr exp-sum |
| 5× | rem-exp-log associate-+r- unsub-neg asin-acos |
| 4× | mul-1-neg pow2 frac-add inv-pow expm1-log1p expm1-udef neg-log distribute-neg-frac log-rec |
| 3× | rem-cube-cbrt associate-+l+ log1p-udef log1p-expm1 cos-diff hypot-udef acos-asin associate--r- rem-cbrt-cube rem-log-exp |
| 2× | associate--l- sqrt-undiv distribute-frac-neg |
| 1× | pow-div pow3 mul0 |