| Date: | Thursday, March 19th, 2020 |
|---|---|
| Commit: | 2b8af9a1 on simpler-alts |
| Hostname: | warfa with Racket 7.5 |
| Seed: | 2020079 |
| 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 |
439 calls:
| 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 (/ Om l)))) (* (* (* 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 (/ Om l)))) (* (* 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 (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))) |
| 1.3s | (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))) |
| 61× | intervals |
| 15.7s | 31062× | body | 1280 | valid |
| 15.5s | 247966× | body | 80 | valid |
| 10.7s | 165419× | body | 80 | nan |
| 8.7s | 8665× | body | 2560 | valid |
| 7.1s | 20789× | body | 640 | valid |
| 5.4s | 3363× | body | 5120 | valid |
| 2.4s | 10269× | body | 320 | valid |
| 1.4s | 9175× | body | 160 | valid |
| 863.0ms | 2602× | body | 1280 | nan |
| 726.0ms | 2359× | body | 640 | nan |
| 310.0ms | 623× | body | 10240 | exit |
| 229.0ms | 1263× | body | 320 | nan |
| 111.0ms | 8256× | pre | 80 | true |
| 71.0ms | 630× | body | 160 | nan |
| 176× | egg-herbie |
Total 44.5b remaining (21.2%)
Threshold costs 5.6b (2.7%)
| 7.7b | 14.5% | Toniolo and Linder, Equation (13) |
| 7.0b | 8.4% | Toniolo and Linder, Equation (10+) |
| 6.2b | 41.6% | Henrywood and Agarwal, Equation (3) |
| 5.6b | 76.3% | Toniolo and Linder, Equation (7) |
| 4.0b | 26.8% | Henrywood and Agarwal, Equation (12) |
| 116× | rewrite-expression-head |
439 calls:
| 104.0ms | (* (pow (/ 1 (pow k (/ 2.0 2))) 1.0) (* (pow (/ 1 (* (pow k (/ 2.0 2)) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))) |
| 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 (pow (/ (* M D) (* 2.0 d)) 2.0)) h) (* 2.0 l)))) |
| 79.0ms | (* (* (* (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)))) |
| 78.0ms | (/ 2.0 (* (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (* (tan k) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0)))) |
| 76.0ms | (/ 2.0 (* (* (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))) |
| 64357× | add-exp-log |
| 46125× | prod-exp |
| 28416× | pow-exp |
| 22447× | div-exp |
| 13219× | pow-to-exp |
| 5086× | times-frac |
| 4853× | *-un-lft-identity |
| 4760× | add-sqr-sqrt |
| 4058× | 1-exp |
| 4055× | rec-exp |
| 3634× | add-cube-cbrt |
| 3194× | add-cbrt-cube |
| 2476× | sqrt-prod |
| 1600× | associate-*l* |
| 1530× | cbrt-unprod |
| 1478× | frac-times |
| 1354× | sqrt-div |
| 1344× | pow1 |
| 1000× | unpow-prod-down |
| 917× | associate-*r* |
| 904× | associate-*r/ |
| 868× | associate-*l/ |
| 658× | flip-- flip3-- |
| 645× | cbrt-undiv |
| 532× | add-log-exp |
| 486× | pow-prod-down |
| 451× | associate-/l* |
| 442× | distribute-lft-out-- |
| 425× | cbrt-prod |
| 390× | unswap-sqr |
| 321× | distribute-lft-out |
| 315× | sqr-pow |
| 310× | exp-prod |
| 307× | distribute-rgt-neg-in associate-/r* |
| 290× | associate-/r/ |
| 278× | pow-unpow |
| 277× | flip-+ flip3-+ |
| 252× | div-inv |
| 247× | distribute-lft-neg-in |
| 167× | *-commutative |
| 159× | difference-of-squares |
| 151× | sqrt-pow1 |
| 150× | cbrt-div tan-quot |
| 94× | frac-2neg clear-num |
| 81× | distribute-rgt-in distribute-lft-in |
| 65× | sub-neg |
| 62× | pow1/3 |
| 60× | pow1/2 |
| 57× | log-prod |
| 56× | unpow2 |
| 50× | log-pow |
| 47× | div-sub |
| 45× | pow-pow |
| 43× | associate-/l/ rem-sqrt-square |
| 38× | frac-sub |
| 35× | neg-mul-1 |
| 34× | sum-log swap-sqr |
| 30× | associate--l+ |
| 28× | +-commutative |
| 25× | pow-prod-up |
| 22× | frac-add neg-sub0 |
| 19× | pow-sqr pow-sub |
| 18× | exp-sum |
| 16× | distribute-neg-frac |
| 12× | cube-prod diff-log |
| 10× | associate-+r+ associate--r+ |
| 9× | pow-flip distribute-frac-neg rem-log-exp |
| 8× | exp-diff |
| 7× | pow-neg rem-exp-log |
| 6× | inv-pow cos-sum |
| 5× | pow-plus associate-+r- pow2 unsub-neg acos-asin |
| 4× | neg-log un-div-inv exp-neg |
| 3× | unpow3 cos-diff cube-mult |
| 2× | associate-+l+ asin-acos associate-+l- log-div |
| 1× | distribute-lft-neg-out associate--l- sqrt-unprod rem-square-sqrt associate--r- mul0 |