| Date: | Wednesday, March 4th, 2020 |
|---|---|
| Commit: | 29625745 on findroot |
| 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 |
435 calls:
| 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*))))) |
| 4.7s | (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*)))))) |
| 4.7s | (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 |
| 15.8s | 31069× | body | 1280 | valid |
| 15.4s | 247954× | body | 80 | valid |
| 10.7s | 166292× | body | 80 | nan |
| 8.8s | 8843× | body | 2560 | valid |
| 7.2s | 21086× | body | 640 | valid |
| 5.2s | 3387× | body | 5120 | valid |
| 2.4s | 10341× | body | 320 | valid |
| 1.4s | 9234× | body | 160 | valid |
| 995.0ms | 2631× | body | 1280 | nan |
| 559.0ms | 2293× | body | 640 | nan |
| 327.0ms | 636× | body | 10240 | exit |
| 217.0ms | 1264× | body | 320 | nan |
| 112.0ms | 8256× | pre | 80 | true |
| 65.0ms | 613× | body | 160 | nan |
| 176× | egg-herbie |
Total 39.6b remaining (20.8%)
Threshold costs 4.2b (2.2%)
| 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) |
| 3.3b | 32.6% | Toniolo and Linder, Equation (10-) |
| 116× | rewrite-expression-head |
435 calls:
| 93.0ms | (* (* (* (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))) |
| 84.0ms | (* (* (* (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)))) |
| 41.0ms | (* (pow (/ (* (cbrt 1) (cbrt 1)) (pow k (/ 2.0 2))) 1.0) (* (pow (/ (cbrt 1) (* (pow k (/ 2.0 2)) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))) |
| 38.0ms | (+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M)))) |
| 36.0ms | (+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M)))) |
| 38591× | add-exp-log |
| 26454× | prod-exp |
| 15392× | pow-exp |
| 12178× | div-exp |
| 6899× | pow-to-exp |
| 3125× | add-sqr-sqrt |
| 2917× | *-un-lft-identity |
| 2678× | add-cbrt-cube |
| 2336× | add-cube-cbrt |
| 2088× | times-frac |
| 1219× | rec-exp 1-exp |
| 1105× | pow1 |
| 1078× | cbrt-unprod |
| 773× | associate-*r* |
| 725× | unpow-prod-down |
| 709× | associate-*l* |
| 636× | cbrt-prod |
| 552× | cbrt-undiv |
| 543× | sqrt-prod |
| 487× | add-log-exp |
| 474× | associate-*r/ |
| 435× | log1p-expm1-u expm1-log1p-u |
| 401× | prod-diff |
| 336× | pow-prod-down |
| 299× | associate-/r* |
| 283× | sqrt-div |
| 280× | associate-/l* |
| 255× | distribute-rgt-in distribute-lft-in |
| 247× | unswap-sqr |
| 233× | pow-unpow div-inv |
| 213× | distribute-lft-out-- |
| 206× | flip-- flip3-- |
| 173× | frac-times |
| 169× | associate-/r/ |
| 163× | sqr-pow |
| 160× | cbrt-div |
| 145× | *-commutative |
| 142× | distribute-lft-out |
| 130× | associate-*l/ |
| 123× | difference-of-squares |
| 121× | pow1/3 |
| 115× | distribute-rgt-neg-in |
| 103× | distribute-lft-neg-in |
| 92× | clear-num frac-2neg |
| 89× | cube-prod |
| 84× | flip-+ flip3-+ |
| 75× | swap-sqr |
| 71× | exp-prod |
| 69× | cos-sum |
| 67× | sub-neg |
| 65× | fma-def |
| 62× | associate--l+ |
| 57× | sqrt-pow1 |
| 40× | pow-pow |
| 35× | frac-sub |
| 34× | pow1/2 |
| 30× | fma-udef |
| 28× | unpow2 |
| 26× | associate-/l/ rem-sqrt-square |
| 22× | tan-quot |
| 20× | sum-log |
| 19× | pow-prod-up pow-sqr |
| 16× | +-commutative |
| 15× | fma-neg |
| 14× | div-sub log-prod |
| 13× | associate-+r+ neg-mul-1 |
| 12× | hypot-def |
| 11× | pow-flip |
| 10× | pow2 pow-plus |
| 9× | inv-pow exp-sum |
| 8× | log-pow |
| 7× | rem-cube-cbrt unpow3 cube-mult |
| 6× | frac-add hypot-udef neg-sub0 diff-log |
| 5× | pow-sub |
| 4× | cube-div rem-exp-log distribute-neg-frac |
| 3× | exp-diff cos-diff distribute-frac-neg asin-acos |
| 2× | associate-+l+ pow-neg un-div-inv associate-+r- rem-cbrt-cube rem-log-exp log-div |
| 1× | sqrt-undiv pow3 exp-neg sum-cubes expm1-log1p unsub-neg acos-asin mul0 expm1-udef |