| Date: | Wednesday, April 29th, 2020 |
|---|---|
| Commit: | 293eb8dd on gh-actions |
| Hostname: | warfa with Racket 7.5 |
| Seed: | 2020120 |
| 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:
| 5.0s | (sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* (* n (pow (* (cbrt (/ l Om)) (cbrt (/ l Om))) 2.0)) (pow (cbrt (/ 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)) (- U U*)))))) |
| 4.7s | (sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))) |
| 1.5s | (* (+ (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) |
| 61× | intervals |
| 19.7s | 248508× | body | 80 | valid |
| 18.8s | 31466× | body | 1280 | valid |
| 14.1s | 168894× | body | 80 | nan |
| 9.5s | 8835× | body | 2560 | valid |
| 8.5s | 20564× | body | 640 | valid |
| 5.5s | 3411× | body | 5120 | valid |
| 2.9s | 10334× | body | 320 | valid |
| 1.7s | 9102× | body | 160 | valid |
| 831.0ms | 1622× | body | 1280 | nan |
| 567.0ms | 1540× | body | 640 | nan |
| 427.0ms | 3642× | body | 80 | overflowed |
| 369.0ms | 601× | body | 5120 | exit |
| 211.0ms | 822× | body | 320 | nan |
| 154.0ms | 8256× | pre | 80 | true |
| 63.0ms | 388× | body | 160 | nan |
| 176× | egg-herbie |
Total 47.1b remaining (25.1%)
Threshold costs 3.3b (1.8%)
| 9.4b | 27.5% | Toniolo and Linder, Equation (13) |
| 8.5b | 4.2% | Toniolo and Linder, Equation (10+) |
| 7.0b | 52.1% | Henrywood and Agarwal, Equation (3) |
| 5.8b | 6.6% | Henrywood and Agarwal, Equation (12) |
| 5.7b | 76.5% | Toniolo and Linder, Equation (7) |
| 116× | rewrite-expression-head |
428 calls:
| 224.0ms | (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) |
| 72.0ms | (* (* (* (pow (/ (* (cbrt d) (cbrt d)) 1) (/ 1.0 2.0)) (pow (/ (cbrt d) 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)))) |
| 65.0ms | (* (* (* (pow (/ (* (cbrt d) (cbrt d)) 1) (/ 1.0 2.0)) (pow (/ (cbrt d) 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)))) |
| 45.0ms | (* (* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0)) |
| 41.0ms | (* (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))) |
| 30061× | add-exp-log |
| 21179× | prod-exp |
| 10559× | pow-exp |
| 8654× | div-exp |
| 4994× | pow-to-exp |
| 3700× | add-sqr-sqrt |
| 3529× | *-un-lft-identity |
| 3013× | times-frac |
| 2771× | add-cube-cbrt |
| 2509× | add-cbrt-cube |
| 1328× | 1-exp |
| 1146× | sqrt-prod |
| 1108× | pow1 |
| 1037× | cbrt-unprod |
| 832× | rec-exp |
| 821× | unpow-prod-down |
| 732× | cbrt-prod |
| 716× | associate-*l* |
| 708× | associate-*r* |
| 542× | prod-diff |
| 514× | add-log-exp |
| 430× | expm1-log1p-u |
| 428× | log1p-expm1-u |
| 426× | cbrt-undiv |
| 424× | associate-*r/ |
| 349× | pow-prod-down |
| 311× | exp-prod |
| 288× | associate-/r* |
| 275× | pow-unpow |
| 273× | div-inv |
| 267× | associate-/l* |
| 243× | distribute-rgt-in distribute-lft-in |
| 240× | distribute-lft-out-- |
| 237× | sqr-pow |
| 222× | sqrt-div unswap-sqr |
| 220× | distribute-lft-out |
| 218× | associate-*l/ |
| 203× | frac-times |
| 191× | difference-of-squares |
| 163× | flip3-- flip-- |
| 161× | cos-sum |
| 154× | distribute-rgt-neg-in |
| 141× | *-commutative |
| 118× | distribute-lft-neg-in |
| 116× | cube-prod |
| 110× | flip-+ flip3-+ |
| 104× | associate-/r/ |
| 97× | fma-def |
| 87× | clear-num frac-2neg |
| 81× | sqrt-pow1 |
| 77× | tan-quot |
| 64× | sub-neg |
| 53× | pow1/2 |
| 50× | pow1/3 |
| 44× | cbrt-div |
| 42× | rem-sqrt-square associate--l+ pow-pow |
| 37× | associate-/l/ |
| 33× | fma-udef sum-log |
| 31× | hypot-def |
| 29× | frac-sub |
| 27× | unpow2 |
| 26× | associate-+r+ |
| 25× | +-commutative |
| 24× | div-sub |
| 23× | swap-sqr |
| 17× | cube-div |
| 16× | neg-mul-1 |
| 14× | fma-neg log-prod |
| 13× | exp-neg |
| 12× | rem-exp-log |
| 11× | log-pow neg-sub0 |
| 9× | pow-prod-up diff-log |
| 8× | cube-mult unpow3 pow-sub distribute-rgt-neg-out |
| 7× | exp-diff cos-diff pow-sqr associate-+r- exp-sum |
| 6× | un-div-inv |
| 5× | rem-cube-cbrt inv-pow pow-flip distribute-frac-neg |
| 4× | frac-add expm1-log1p log-rec acos-asin expm1-udef pow-neg mul-1-neg |
| 3× | pow-plus asin-acos pow2 unsub-neg rem-cbrt-cube rem-log-exp |
| 2× | associate-+l+ log1p-udef log1p-expm1 hypot-udef |
| 1× | sqrt-unprod rem-square-sqrt mul0 |