| Date: | Tuesday, March 31st, 2020 |
|---|---|
| Commit: | 2cac45bc on simpler-alts |
| Hostname: | warfa with Racket 7.5 |
| Seed: | 2020091 |
| 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:
| 9.9s | (sqrt (pow (* (* (* 2.0 n) (- t (- (* 2.0 (* l (/ l Om))) (* (- (- U U*)) (* n (pow (/ l Om) (* 2 (/ 2.0 2)))))))) U) 1)) |
| 5.5s | (/ (- (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (fma 1.0 1.0 (fma 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) |
| 4.9s | (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*))))) |
| 4.8s | (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*))))) |
| 59× | intervals |
| 16.1s | 30920× | body | 1280 | valid |
| 15.3s | 237948× | body | 80 | valid |
| 10.8s | 162180× | body | 80 | nan |
| 8.8s | 8782× | body | 2560 | valid |
| 7.5s | 21032× | body | 640 | valid |
| 5.4s | 3425× | body | 5120 | valid |
| 2.4s | 10184× | body | 320 | valid |
| 1.4s | 9126× | body | 160 | valid |
| 913.0ms | 2674× | body | 1280 | nan |
| 624.0ms | 2313× | body | 640 | nan |
| 361.0ms | 699× | body | 10240 | exit |
| 214.0ms | 1177× | body | 320 | nan |
| 113.0ms | 8256× | pre | 80 | true |
| 65.0ms | 573× | body | 160 | nan |
| 170× | egg-herbie |
Total 42.4b remaining (22.8%)
Threshold costs 4.3b (2.3%)
| 8.5b | 25.3% | Toniolo and Linder, Equation (13) |
| 7.5b | 1.7% | Toniolo and Linder, Equation (10+) |
| 5.6b | 35.9% | Henrywood and Agarwal, Equation (12) |
| 5.6b | 75.8% | Toniolo and Linder, Equation (7) |
| 5.3b | 58.9% | Henrywood and Agarwal, Equation (3) |
| 112× | rewrite-expression-head |
428 calls:
| 248.0ms | (* (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))) |
| 90.0ms | (* (* (* (pow (/ 1 (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ 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 (pow (/ (* M D) (* 2.0 d)) 2.0)) h) (* 2.0 l)))) |
| 90.0ms | (* (* (* (pow (/ 1 (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ 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)))) |
| 46.0ms | (/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3))))) (- (pow 1.0 3) (pow (* v v) 3)))) |
| 45.0ms | (* (* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (* (cbrt (* (/ (pow (cbrt t) 3.0) l) (sin k))) (cbrt (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (cbrt (* (/ (pow (cbrt t) 3.0) l) (sin k))))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0)) |
| 32683× | add-exp-log |
| 24007× | prod-exp |
| 12960× | pow-exp |
| 8977× | div-exp |
| 5440× | pow-to-exp |
| 3416× | add-sqr-sqrt |
| 3034× | *-un-lft-identity |
| 2410× | add-cube-cbrt |
| 2277× | add-cbrt-cube |
| 2051× | times-frac |
| 2041× | 1-exp rec-exp |
| 1223× | pow1 |
| 922× | cbrt-unprod |
| 921× | unpow-prod-down |
| 716× | prod-diff |
| 654× | associate-*r* |
| 613× | sqrt-prod |
| 593× | associate-*l* |
| 543× | associate-*r/ |
| 530× | associate-*l/ |
| 508× | add-log-exp frac-times |
| 429× | expm1-log1p-u |
| 428× | log1p-expm1-u |
| 419× | cbrt-prod |
| 370× | pow-prod-down |
| 359× | cbrt-undiv |
| 347× | sqrt-div |
| 328× | associate-/l* |
| 311× | difference-of-squares |
| 305× | pow-unpow |
| 296× | associate-/r* |
| 270× | flip-- flip3-- |
| 262× | sqr-pow |
| 259× | distribute-rgt-neg-in |
| 250× | distribute-lft-out-- |
| 242× | distribute-lft-neg-in |
| 209× | div-inv |
| 183× | cube-prod |
| 178× | unswap-sqr |
| 176× | cbrt-div |
| 162× | distribute-rgt-in distribute-lft-in |
| 133× | associate-/r/ |
| 131× | *-commutative |
| 111× | flip-+ flip3-+ |
| 110× | tan-quot |
| 105× | distribute-lft-out |
| 88× | clear-num frac-2neg |
| 84× | fma-neg |
| 80× | fma-def |
| 72× | sqrt-pow1 |
| 70× | pow1/3 |
| 68× | log-prod |
| 58× | pow-pow |
| 56× | sub-neg |
| 48× | associate-/l/ |
| 47× | log-pow |
| 45× | pow1/2 |
| 43× | pow-prod-up |
| 40× | cube-div |
| 39× | rem-sqrt-square |
| 38× | unpow3 cube-mult |
| 32× | associate--l+ |
| 31× | fma-udef |
| 29× | pow-sqr swap-sqr |
| 27× | neg-mul-1 |
| 26× | exp-prod |
| 25× | cos-sum frac-sub |
| 23× | unpow2 |
| 22× | pow-plus sum-log associate--r+ |
| 20× | div-sub exp-sum |
| 19× | diff-log pow-neg neg-sub0 |
| 18× | +-commutative |
| 17× | pow2 |
| 16× | hypot-def |
| 15× | pow-sub |
| 13× | rem-log-exp |
| 11× | un-div-inv |
| 10× | frac-add |
| 9× | rem-cube-cbrt |
| 8× | exp-neg distribute-rgt-neg-out distribute-neg-frac |
| 7× | hypot-udef |
| 6× | neg-log |
| 5× | difference-cubes asin-acos |
| 4× | mul-1-neg inv-pow pow-flip log-rec |
| 3× | sqrt-undiv acos-asin associate--r- rem-cbrt-cube exp-to-pow |
| 2× | associate--l- sin-sum expm1-log1p expm1-udef distribute-frac-neg associate-+l- log-div |
| 1× | rem-exp-log exp-diff sqrt-pow2 associate-+l+ distribute-lft-neg-out associate-+r- log1p-expm1 cos-diff log1p-udef unsub-neg mul0 |