| Date: | Wednesday, March 18th, 2020 |
|---|---|
| Commit: | 7c9a4fcd on better-rr |
| Hostname: | warfa with Racket 7.5 |
| Seed: | 2020078 |
| Parameters: | 256 points for 4 iterations |
| Flags: | setup:simplifyrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:complexrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifygenerate:better-rrreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:doubleprecision:fallback default |
413 calls:
| 4.9s | (sqrt (* n (* (* 2.0 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 l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))) |
| 4.7s | (sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))) |
| 1.6s | (/ (- (+ (* 2.0 (* (pow (/ 1 (pow -1 3.0)) 1.0) (/ (* (pow t 3) (sin k)) l))) (* (pow (/ 1 (pow -1 3.0)) 1.0) (/ (* t (* (pow k 2) (sin k))) l)))) (* (/ l (sin k)) (cos k))) |
| 61× | intervals |
| 16.1s | 31110× | body | 1280 | valid |
| 15.7s | 250036× | body | 80 | valid |
| 10.8s | 167152× | body | 80 | nan |
| 8.8s | 8964× | body | 2560 | valid |
| 7.2s | 20903× | body | 640 | valid |
| 5.6s | 3294× | body | 5120 | valid |
| 2.4s | 10184× | body | 320 | valid |
| 1.3s | 8996× | body | 160 | valid |
| 889.0ms | 2722× | body | 1280 | nan |
| 592.0ms | 2386× | body | 640 | nan |
| 313.0ms | 609× | body | 10240 | exit |
| 216.0ms | 1209× | body | 320 | nan |
| 113.0ms | 8256× | pre | 80 | true |
| 68.0ms | 637× | body | 160 | nan |
| 171× | egg-herbie |
Total 49.6b remaining (24.9%)
Threshold costs 2.3b (1.2%)
| 10.3b | 31.8% | Toniolo and Linder, Equation (13) |
| 9.1b | 37.5% | Henrywood and Agarwal, Equation (12) |
| 6.2b | 62.9% | Henrywood and Agarwal, Equation (3) |
| 6.0b | 75% | Toniolo and Linder, Equation (7) |
| 4.1b | -5.1% | Henrywood and Agarwal, Equation (13) |
| 111× | rewrite-expression-head |
413 calls:
| 198.0ms | (* (/ (- 1.0 (* 5.0 (pow v 2))) (+ (- (* 1.0 1.0)) (pow v 4))) (+ (* v v) 1.0)) |
| 85.0ms | (+ (* (/ (* c0 d) (* D D)) (/ d (* w h))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M)))) |
| 85.0ms | (+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M)))) |
| 66.0ms | (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))) |
| 34.0ms | (/ (* (* -2.0 J) (cos (/ K 2.0))) (/ (sqrt (+ (* 1.0 1.0) (- (* (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0) (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)) (* 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))))) (sqrt (+ (pow 1.0 3) (pow (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0) 3))))) |
| 1042× | *-commutative |
| 947× | associate-*r/ |
| 784× | associate-*l* |
| 584× | associate-*r* |
| 493× | sqrt-div |
| 489× | times-frac |
| 481× | associate-/l* |
| 429× | clear-num |
| 403× | frac-times |
| 401× | associate-*l/ |
| 398× | div-inv |
| 391× | associate-/l/ |
| 366× | frac-2neg |
| 364× | sqr-pow |
| 304× | flip-- flip3-- |
| 286× | associate-/r* |
| 279× | frac-add |
| 261× | distribute-rgt-in distribute-lft-in |
| 260× | associate-/r/ |
| 244× | flip-+ flip3-+ |
| 151× | difference-of-squares |
| 148× | unpow-prod-down |
| 129× | sqrt-prod |
| 127× | +-commutative |
| 121× | frac-sub |
| 104× | associate-+r+ |
| 103× | div-sub sub-neg unswap-sqr |
| 99× | neg-mul-1 |
| 98× | tan-quot |
| 90× | distribute-neg-frac associate-+l+ |
| 85× | unpow2 |
| 69× | pow-sub |
| 62× | pow-to-exp swap-sqr |
| 61× | un-div-inv |
| 54× | associate--l+ |
| 46× | pow1/2 |
| 32× | pow-unpow |
| 22× | pow-prod-down associate--r+ |
| 18× | neg-sub0 |
| 17× | distribute-rgt-out |
| 15× | distribute-frac-neg distribute-lft-neg-out unpow3 pow2 |
| 13× | prod-exp |
| 11× | inv-pow |
| 10× | difference-cubes |
| 9× | distribute-lft-neg-in distribute-rgt-out-- distribute-rgt-neg-in |
| 8× | distribute-rgt-neg-out |
| 6× | pow-neg remove-double-div |
| 5× | sqrt-undiv distribute-lft-out-- associate--r- |
| 4× | unsub-neg pow-prod-up pow-sqr asin-acos sum-cubes associate-+r- |
| 3× | exp-diff exp-neg exp-prod |
| 2× | acos-asin sub-div associate--l- rec-exp cos-sum |
| 1× | pow-flip distribute-lft1-in sqrt-unprod mul0 cos-diff pow-pow |