| Date: | Sunday, April 12th, 2020 |
|---|---|
| Commit: | 48b457a7 on overflow-detection-both-ends |
| Hostname: | warfa with Racket 7.5 |
| Seed: | 2020103 |
| 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 |
428 calls:
| 5.1s | (sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))) |
| 4.9s | (sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))) |
| 4.9s | (sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))) |
| 4.9s | (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 (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))) |
| 61× | intervals |
| 19.9s | 249504× | body | 80 | valid |
| 18.4s | 31109× | body | 1280 | valid |
| 14.1s | 166593× | body | 80 | nan |
| 9.8s | 8976× | body | 2560 | valid |
| 8.9s | 21359× | body | 640 | valid |
| 5.3s | 3276× | body | 5120 | valid |
| 2.9s | 10059× | body | 320 | valid |
| 1.7s | 9117× | body | 160 | valid |
| 881.0ms | 1644× | body | 1280 | nan |
| 569.0ms | 1455× | body | 640 | nan |
| 377.0ms | 2730× | body | 80 | overflowed |
| 375.0ms | 593× | body | 5120 | exit |
| 202.0ms | 781× | body | 320 | nan |
| 154.0ms | 8256× | pre | 80 | true |
| 64.0ms | 397× | body | 160 | nan |
| 174× | egg-herbie |
Total 44.2b remaining (24.5%)
Threshold costs 3.4b (1.9%)
| 9.4b | 31.8% | Henrywood and Agarwal, Equation (3) |
| 9.3b | 13.2% | Toniolo and Linder, Equation (13) |
| 5.5b | 76.4% | Toniolo and Linder, Equation (7) |
| 4.2b | 42.7% | Toniolo and Linder, Equation (10-) |
| 3.7b | 28.2% | Henrywood and Agarwal, Equation (12) |
| 114× | rewrite-expression-head |
428 calls:
| 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 (/ (* (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)))) |
| 80.0ms | (* (* (* (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)))) |
| 66.0ms | (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) |
| 63.0ms | (* (/ (pow (cbrt t) 3.0) (/ l (pow (cbrt t) 3.0))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) |
| 61.0ms | (* (* (* (/ (pow (cbrt t) 3.0) (/ l (pow (cbrt t) 3.0))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0)) |
| 29072× | add-exp-log |
| 19960× | prod-exp |
| 10105× | pow-exp |
| 8487× | div-exp |
| 4822× | pow-to-exp |
| 4777× | times-frac |
| 4587× | add-sqr-sqrt |
| 4372× | *-un-lft-identity |
| 3630× | add-cube-cbrt |
| 2609× | add-cbrt-cube |
| 1806× | sqrt-prod |
| 1401× | associate-*l* |
| 1307× | unpow-prod-down |
| 1124× | pow1 |
| 1040× | cbrt-unprod |
| 933× | associate-*r* |
| 841× | 1-exp |
| 838× | rec-exp |
| 496× | cbrt-undiv |
| 493× | add-log-exp |
| 436× | prod-diff |
| 429× | log1p-expm1-u expm1-log1p-u |
| 421× | cbrt-prod |
| 400× | associate-*r/ |
| 374× | associate-/l* |
| 358× | pow-prod-down |
| 345× | sqr-pow |
| 342× | associate-/r* |
| 301× | pow-unpow |
| 288× | div-inv |
| 285× | distribute-rgt-in distribute-lft-in |
| 282× | unswap-sqr |
| 270× | distribute-lft-out-- |
| 247× | exp-prod |
| 206× | associate-*l/ |
| 200× | frac-times |
| 197× | sqrt-div |
| 184× | flip3-- distribute-lft-out flip-- |
| 151× | distribute-rgt-neg-in |
| 144× | difference-of-squares *-commutative |
| 124× | distribute-lft-neg-in |
| 102× | flip-+ flip3-+ |
| 101× | associate-/r/ |
| 94× | clear-num frac-2neg |
| 80× | fma-def |
| 77× | sub-neg |
| 74× | tan-quot |
| 66× | sqrt-pow1 |
| 53× | associate--l+ |
| 51× | cbrt-div |
| 46× | pow-pow |
| 45× | pow1/2 |
| 43× | log-pow |
| 40× | fma-neg div-sub frac-sub |
| 39× | associate-/l/ pow1/3 |
| 38× | rem-sqrt-square |
| 35× | fma-udef |
| 27× | unpow2 |
| 24× | cos-sum |
| 23× | pow-sub log-prod |
| 21× | sum-log |
| 17× | pow-flip +-commutative |
| 16× | neg-mul-1 |
| 15× | hypot-def |
| 12× | exp-diff swap-sqr |
| 10× | diff-log |
| 9× | neg-sub0 |
| 8× | associate-+r+ inv-pow |
| 7× | hypot-udef exp-sum |
| 6× | rem-exp-log cube-prod |
| 5× | un-div-inv rem-log-exp |
| 4× | associate-+r- pow-prod-up frac-add pow-sqr distribute-frac-neg acos-asin distribute-neg-frac |
| 3× | e-exp-1 unsub-neg asin-acos |
| 2× | sqrt-pow2 pow-plus pow-neg log1p-udef exp-neg pow2 log1p-expm1 associate-+l+ expm1-log1p unpow3 cube-mult expm1-udef |
| 1× | rem-cube-cbrt sqrt-undiv cos-diff mul0 rem-cbrt-cube associate--r+ |