| Date: | Saturday, April 11th, 2020 |
|---|---|
| Commit: | a26a9b61 on overflow-detection-both-ends |
| Hostname: | warfa with Racket 7.5 |
| Seed: | 2020102 |
| 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 |
435 calls:
| 11.1s | (sqrt (* (* 2.0 n) (* (- t (fma 2.0 (* l (/ l Om)) (* (* n (pow (/ l Om) 2.0)) (- U U*)))) U))) |
| 11.0s | (sqrt (* (* 2.0 n) (* (- t (fma 2.0 (* l (/ l Om)) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U 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 | (/ (* (* 1.0 (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)))) (pow n (/ 1.0 2.0))) (* (* (sqrt k) (pow PI (/ k 2.0))) (pow n (/ k 2.0)))) |
| 61× | intervals |
| 18.5s | 247959× | body | 80 | valid |
| 17.4s | 31001× | body | 1280 | valid |
| 13.2s | 167437× | body | 80 | nan |
| 9.3s | 8828× | body | 2560 | valid |
| 8.1s | 20885× | body | 640 | valid |
| 5.1s | 3333× | body | 5120 | valid |
| 2.9s | 10422× | body | 320 | valid |
| 1.7s | 9387× | body | 160 | valid |
| 1.1s | 2790× | body | 1280 | nan |
| 685.0ms | 2326× | body | 640 | nan |
| 368.0ms | 599× | body | 5120 | exit |
| 264.0ms | 1262× | body | 320 | nan |
| 147.0ms | 8256× | pre | 80 | true |
| 83.0ms | 626× | body | 160 | nan |
| 57.0ms | 703× | body | 80 | overflowed |
| 177× | egg-herbie |
Total 35.6b remaining (20.4%)
Threshold costs 4.5b (2.6%)
| 10.8b | 9.5% | Toniolo and Linder, Equation (13) |
| 6.3b | 73.5% | Toniolo and Linder, Equation (7) |
| 4.2b | 41.9% | Henrywood and Agarwal, Equation (12) |
| 2.6b | 49.9% | Toniolo and Linder, Equation (10-) |
| 2.5b | 5.7% | Toniolo and Linder, Equation (10+) |
| 117× | rewrite-expression-head |
435 calls:
| 155.0ms | (* (pow (/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0)))) 1.0) (/ (/ (cos k) (/ (/ (sin k) l) l)) (sin k))) |
| 132.0ms | (* (/ (cos th) (fabs (cbrt (sqrt 2.0)))) (/ (/ (fma a1 a1 (* a2 a2)) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0))))) |
| 78.0ms | (* (* (* (pow (/ (* (cbrt d) (cbrt d)) (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ (cbrt d) (cbrt 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)))) |
| 76.0ms | (* (* (* (pow (/ (* (cbrt d) (cbrt d)) (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ (cbrt d) (cbrt 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)))) |
| 41.0ms | (* (cbrt (/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))) (cbrt (/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))))) |
| 30561× | add-exp-log |
| 20999× | prod-exp |
| 10453× | pow-exp |
| 9099× | div-exp |
| 8535× | times-frac |
| 6251× | add-sqr-sqrt |
| 5821× | *-un-lft-identity |
| 5273× | pow-to-exp |
| 5252× | add-cube-cbrt |
| 2531× | sqrt-prod |
| 2463× | add-cbrt-cube |
| 1553× | associate-*r* |
| 1054× | pow1 |
| 893× | cbrt-prod |
| 879× | cbrt-unprod |
| 875× | 1-exp rec-exp |
| 687× | associate-*l* |
| 588× | unpow-prod-down |
| 563× | associate-/l* |
| 536× | cbrt-undiv |
| 513× | add-log-exp |
| 464× | div-inv |
| 436× | log1p-expm1-u |
| 435× | expm1-log1p-u |
| 418× | associate-/r* |
| 407× | prod-diff |
| 314× | pow-unpow |
| 312× | sqrt-div |
| 307× | associate-*r/ |
| 288× | pow-prod-down |
| 278× | unswap-sqr |
| 203× | associate-/r/ |
| 193× | distribute-lft-out-- |
| 174× | flip3-- flip-- |
| 160× | sqr-pow |
| 148× | exp-prod |
| 143× | frac-times |
| 141× | difference-of-squares |
| 124× | *-commutative |
| 122× | distribute-lft-out |
| 115× | flip-+ flip3-+ |
| 113× | associate-*l/ |
| 111× | distribute-rgt-neg-in |
| 110× | distribute-lft-neg-in |
| 107× | frac-2neg clear-num |
| 104× | distribute-rgt-in distribute-lft-in |
| 90× | sqrt-pow1 |
| 86× | log-pow pow1/3 |
| 85× | fma-def |
| 67× | cbrt-div |
| 65× | fma-neg |
| 60× | div-sub |
| 55× | pow-sub swap-sqr |
| 53× | pow1/2 |
| 43× | sub-neg |
| 42× | pow-flip |
| 40× | cube-prod |
| 38× | log-prod |
| 37× | rem-sqrt-square pow-pow |
| 36× | tan-quot |
| 33× | associate-/l/ |
| 29× | fma-udef |
| 28× | associate--l+ |
| 25× | cos-sum unpow2 |
| 22× | associate--r+ associate-+r+ |
| 21× | frac-sub |
| 20× | pow-prod-up |
| 19× | diff-log sum-log |
| 17× | hypot-def |
| 16× | pow-sqr |
| 15× | +-commutative |
| 14× | frac-add |
| 13× | neg-mul-1 |
| 10× | inv-pow |
| 9× | rem-log-exp |
| 8× | neg-sub0 log-div |
| 6× | rem-cube-cbrt pow-plus pow2 |
| 5× | unpow3 cube-mult exp-sum |
| 4× | exp-diff pow-neg un-div-inv hypot-udef unpow-prod-up distribute-neg-frac exp-to-pow |
| 3× | acos-asin asin-acos distribute-rgt-out-- |
| 2× | cube-div rem-exp-log associate-+r- associate-+l- distribute-frac-neg neg-log rem-cbrt-cube |
| 1× | sqrt-pow2 e-exp-1 associate--l- sqrt-unprod pow3 exp-neg cos-diff expm1-log1p rem-square-sqrt sub-div mul0 expm1-udef |