| 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:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:complexrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifyreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:doubleprecision:fallback default |
431 calls:
| 9.7s | (sqrt (pow (* (* (* 2.0 n) (- t (- (* 2.0 (* l (/ l Om))) (* (- (* n (pow (/ l Om) (* 2 (/ 2.0 2))))) (- U U*))))) U) 1)) |
| 5.0s | (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*))))) |
| 4.6s | (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*)))) |
| 59× | intervals |
| 15.7s | 30920× | body | 1280 | valid |
| 15.2s | 237948× | body | 80 | valid |
| 10.8s | 162180× | body | 80 | nan |
| 8.6s | 8782× | body | 2560 | valid |
| 7.2s | 21032× | body | 640 | valid |
| 5.3s | 3425× | body | 5120 | valid |
| 2.4s | 10184× | body | 320 | valid |
| 1.4s | 9126× | body | 160 | valid |
| 913.0ms | 2674× | body | 1280 | nan |
| 598.0ms | 2313× | body | 640 | nan |
| 362.0ms | 699× | body | 10240 | exit |
| 215.0ms | 1177× | body | 320 | nan |
| 107.0ms | 8256× | pre | 80 | true |
| 70.0ms | 573× | body | 160 | nan |
| 169× | egg-herbie |
Total 42.6b remaining (20.2%)
Threshold costs 4.5b (2.2%)
| 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 | 75.9% | Toniolo and Linder, Equation (7) |
| 5.3b | 58.9% | Henrywood and Agarwal, Equation (3) |
| 111× | rewrite-expression-head |
431 calls:
| 95.0ms | (* (* (* (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)))) |
| 89.0ms | (* (* (* (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)))) |
| 67.0ms | (* (/ (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0))) a) |
| 48.0ms | (* (* (* (* (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)) |
| 45.0ms | (* (* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0)) |
| 32836× | add-exp-log |
| 24094× | prod-exp |
| 12987× | pow-exp |
| 8992× | div-exp |
| 5472× | pow-to-exp |
| 4646× | times-frac |
| 4179× | add-sqr-sqrt |
| 4069× | *-un-lft-identity |
| 3358× | add-cube-cbrt |
| 2335× | add-cbrt-cube |
| 2053× | 1-exp rec-exp |
| 1717× | sqrt-prod |
| 1312× | pow1 |
| 1096× | unpow-prod-down |
| 1048× | associate-*l* |
| 966× | cbrt-unprod |
| 790× | associate-*r* |
| 594× | associate-*r/ |
| 540× | add-log-exp |
| 537× | associate-*l/ |
| 509× | frac-times |
| 444× | sqrt-div |
| 412× | pow-prod-down |
| 406× | cbrt-prod |
| 380× | associate-/l* |
| 349× | cbrt-undiv |
| 331× | associate-/r* |
| 308× | pow-unpow |
| 305× | sqr-pow |
| 289× | unswap-sqr |
| 277× | flip3-- flip-- |
| 256× | div-inv |
| 239× | distribute-lft-out |
| 226× | cbrt-div |
| 198× | associate-/r/ |
| 191× | flip-+ flip3-+ |
| 158× | distribute-lft-out-- |
| 150× | *-commutative |
| 125× | distribute-rgt-neg-in |
| 114× | difference-of-squares |
| 111× | tan-quot |
| 109× | distribute-lft-neg-in |
| 88× | log-prod |
| 87× | log-pow |
| 85× | unpow2 |
| 84× | sqrt-pow1 |
| 83× | clear-num frac-2neg |
| 82× | distribute-rgt-in distribute-lft-in |
| 72× | exp-prod sub-neg |
| 64× | pow1/3 |
| 55× | pow1/2 |
| 54× | rem-sqrt-square pow-pow |
| 45× | pow-prod-up |
| 44× | cube-div |
| 39× | swap-sqr |
| 38× | cube-prod |
| 37× | sum-log |
| 35× | associate-/l/ |
| 31× | pow-sqr |
| 29× | +-commutative |
| 28× | frac-sub |
| 26× | associate--l+ |
| 25× | exp-sum |
| 23× | pow-plus |
| 21× | diff-log |
| 20× | frac-add |
| 19× | pow-neg |
| 18× | pow2 |
| 17× | neg-sub0 |
| 16× | associate--r+ |
| 15× | pow-sub div-sub |
| 14× | rem-log-exp |
| 13× | associate-+r+ neg-mul-1 |
| 11× | unpow3 cube-mult |
| 10× | cos-sum |
| 8× | rem-cube-cbrt |
| 7× | un-div-inv inv-pow pow-flip |
| 6× | acos-asin |
| 5× | cos-diff |
| 4× | neg-log rem-cbrt-cube distribute-neg-frac log-div |
| 3× | exp-diff rem-exp-log asin-acos |
| 2× | associate--l- distribute-frac-neg associate--r- |
| 1× | sqrt-undiv associate-+l+ distribute-lft-neg-out associate-+r- unsub-neg mul0 exp-to-pow |