| Date: | Wednesday, March 4th, 2020 |
|---|---|
| Commit: | 96d2f482 on refactor-and-minor |
| Hostname: | warfa with Racket 7.5 |
| Seed: | 2020064 |
| 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 |
439 calls:
| 5.0s | (sqrt (* (* 2.0 n) (* U (- (- t (* 2.0 (* l (/ l Om)))) (* (* 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*))))) |
| 4.6s | (sqrt (* (* 2.0 n) (* U (- (- t (* 2.0 (* l (/ l Om)))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*)))))) |
| 4.5s | (sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))) |
| 1.3s | (* (* 2.0 n) (* U (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))) |
| 61× | intervals |
| 15.7s | 31069× | body | 1280 | valid |
| 15.5s | 247954× | body | 80 | valid |
| 10.8s | 166292× | body | 80 | nan |
| 8.7s | 8843× | body | 2560 | valid |
| 7.3s | 21086× | body | 640 | valid |
| 5.3s | 3387× | body | 5120 | valid |
| 2.4s | 10341× | body | 320 | valid |
| 1.4s | 9234× | body | 160 | valid |
| 916.0ms | 2631× | body | 1280 | nan |
| 598.0ms | 2293× | body | 640 | nan |
| 348.0ms | 636× | body | 10240 | exit |
| 235.0ms | 1264× | body | 320 | nan |
| 105.0ms | 8256× | pre | 80 | true |
| 73.0ms | 613× | body | 160 | nan |
| 176× | egg-herbie |
Total 41.4b remaining (21.3%)
Threshold costs 4.6b (2.3%)
| 9.0b | 27.7% | Toniolo and Linder, Equation (13) |
| 6.2b | 44.2% | Henrywood and Agarwal, Equation (3) |
| 6.2b | -9.4% | Henrywood and Agarwal, Equation (12) |
| 5.7b | 76% | Toniolo and Linder, Equation (7) |
| 4.8b | 26.7% | Toniolo and Linder, Equation (10-) |
| 116× | rewrite-expression-head |
439 calls:
| 93.0ms | (* (pow (/ 1 (pow k (/ 2.0 2))) 1.0) (* (pow (/ 1 (* (pow k (/ 2.0 2)) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))) |
| 88.0ms | (* (* (* (pow (/ (* (cbrt d) (cbrt d)) (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ (cbrt d) (cbrt h)) (/ 1.0 2.0))) (* (pow (/ 1 (* (cbrt l) (cbrt l))) (/ 1.0 2.0)) (pow (/ d (cbrt l)) (/ 1.0 2.0)))) (- 1.0 (/ (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) h) l))) |
| 81.0ms | (* (* (* (pow (/ (* (cbrt d) (cbrt d)) (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ (cbrt d) (cbrt h)) (/ 1.0 2.0))) (* (pow (/ 1 (* (cbrt l) (cbrt l))) (/ 1.0 2.0)) (pow (/ d (cbrt l)) (/ 1.0 2.0)))) (- 1.0 (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l)))) |
| 39.0ms | (+ (- (/ 1 (/ (tan B) (* x 1.0)))) (/ 1.0 (sin B))) |
| 35.0ms | (* (pow (/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0)))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2))) |
| 54161× | add-exp-log |
| 39489× | prod-exp |
| 27634× | pow-exp |
| 19412× | div-exp |
| 12518× | pow-to-exp |
| 4213× | 1-exp |
| 4211× | rec-exp |
| 3404× | add-sqr-sqrt |
| 3208× | *-un-lft-identity |
| 2593× | add-cbrt-cube |
| 2531× | add-cube-cbrt |
| 2345× | times-frac |
| 1082× | pow1 |
| 1002× | cbrt-unprod |
| 866× | unpow-prod-down |
| 730× | associate-*r* |
| 713× | associate-*l* |
| 634× | cbrt-prod |
| 567× | sqrt-prod |
| 551× | prod-diff |
| 539× | cbrt-undiv |
| 515× | add-log-exp |
| 466× | associate-*r/ |
| 439× | log1p-expm1-u expm1-log1p-u |
| 323× | pow-prod-down associate-/r* |
| 297× | associate-/l* |
| 279× | sqrt-div |
| 271× | distribute-rgt-in distribute-lft-in |
| 260× | distribute-lft-out-- |
| 258× | div-inv |
| 239× | pow-unpow |
| 231× | unswap-sqr |
| 217× | distribute-rgt-neg-in |
| 199× | distribute-lft-neg-in |
| 198× | flip-- flip3-- |
| 188× | sqr-pow |
| 176× | associate-/r/ |
| 173× | difference-of-squares |
| 164× | frac-times |
| 146× | cbrt-div |
| 145× | distribute-lft-out |
| 144× | fma-def |
| 143× | cube-prod |
| 139× | *-commutative |
| 128× | associate-*l/ |
| 110× | pow1/3 |
| 97× | clear-num frac-2neg |
| 90× | flip-+ flip3-+ |
| 70× | sub-neg |
| 69× | cos-sum |
| 67× | exp-prod |
| 62× | associate--l+ |
| 57× | sqrt-pow1 |
| 43× | swap-sqr |
| 40× | pow-pow |
| 39× | fma-neg |
| 35× | frac-sub |
| 34× | pow1/2 |
| 32× | tan-quot |
| 28× | unpow2 |
| 27× | associate-/l/ sum-log |
| 26× | rem-sqrt-square |
| 24× | fma-udef associate-+l+ |
| 23× | neg-mul-1 |
| 20× | +-commutative |
| 17× | rem-cube-cbrt |
| 15× | div-sub |
| 14× | pow-prod-up frac-add pow-sqr |
| 12× | pow-flip hypot-def |
| 11× | log-pow neg-sub0 diff-log associate--r+ |
| 10× | inv-pow unpow3 cube-mult log-prod |
| 8× | distribute-neg-frac |
| 7× | cube-div pow2 pow-plus |
| 6× | hypot-udef neg-log |
| 5× | pow-sub |
| 4× | associate-+r+ associate-+l- |
| 3× | rem-exp-log cos-diff distribute-frac-neg asin-acos rem-cbrt-cube rem-log-exp |
| 2× | pow-neg un-div-inv exp-sum |
| 1× | exp-diff sqrt-undiv unpow1/3 associate--l- exp-neg expm1-log1p unsub-neg acos-asin associate--r- mul0 sum-cubes expm1-udef exp-to-pow associate-+r- |