| Date: | Friday, February 28th, 2020 |
|---|---|
| Commit: | 6d7f8a61 on more-ival-tests |
| Hostname: | warfa with Racket 7.5 |
| Seed: | 2020059 |
| 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:
| 5.2s | (sqrt (* (* 2.0 n) (* U (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))) |
| 5.0s | (sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))) |
| 5.0s | (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 (/ l Om)))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*)))))) |
| 1.9s | (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) |
| 61× | intervals |
| 15.9s | 31275× | body | 1280 | valid |
| 15.6s | 248442× | body | 80 | valid |
| 10.8s | 165157× | body | 80 | nan |
| 9.3s | 9060× | body | 2560 | valid |
| 7.1s | 20770× | body | 640 | valid |
| 5.0s | 3391× | body | 5120 | valid |
| 2.3s | 9983× | body | 320 | valid |
| 1.4s | 9166× | body | 160 | valid |
| 883.0ms | 2694× | body | 1280 | nan |
| 595.0ms | 2385× | body | 640 | nan |
| 313.0ms | 601× | body | 10240 | exit |
| 205.0ms | 1180× | body | 320 | nan |
| 112.0ms | 8256× | pre | 80 | true |
| 76.0ms | 627× | body | 160 | nan |
| 175× | egg-herbie |
| 115× | rewrite-expression-head |
435 calls:
| 1.3s | (* (pow (/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0)))) 1.0) (/ (/ (cos k) (/ (/ (pow (cbrt (sin k)) 4) l) l)) (pow (cbrt (sin k)) 2))) |
| 356.0ms | (/ (/ a (sqrt (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))) (/ (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))) (/ (pow k m) (sqrt (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))))) |
| 143.0ms | (/ (/ (cos k) (/ (/ (pow (cbrt (sin k)) 4) l) l)) (pow (cbrt (sin k)) 2)) |
| 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 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) h) (/ 1 l)))) |
| 70.0ms | (* (* (* (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)))) |
| 83243× | times-frac |
| 36942× | add-exp-log |
| 36000× | add-sqr-sqrt |
| 35398× | *-un-lft-identity |
| 34595× | add-cube-cbrt |
| 32215× | sqrt-prod |
| 23622× | prod-exp |
| 14390× | unpow-prod-down |
| 14027× | div-exp |
| 13487× | pow-exp |
| 6748× | pow-to-exp |
| 4421× | cbrt-prod |
| 4339× | associate-*r* |
| 3485× | sqr-pow |
| 2768× | sqrt-div |
| 2694× | add-cbrt-cube |
| 1766× | 1-exp |
| 1459× | associate-/r/ |
| 1302× | rec-exp |
| 1213× | div-inv |
| 1154× | pow1 |
| 1091× | cbrt-unprod |
| 1087× | associate-*l* |
| 760× | associate-/l* |
| 754× | flip-+ flip3-+ |
| 711× | associate-/r* |
| 696× | unpow2 |
| 524× | cbrt-undiv |
| 510× | add-log-exp |
| 436× | expm1-log1p-u |
| 435× | log1p-expm1-u |
| 381× | unswap-sqr |
| 377× | associate-*r/ |
| 373× | prod-diff |
| 353× | pow-prod-down |
| 264× | pow-unpow |
| 252× | distribute-lft-out |
| 236× | distribute-rgt-in distribute-lft-in |
| 230× | distribute-lft-out-- |
| 181× | associate-*l/ |
| 171× | distribute-rgt-neg-in |
| 166× | flip3-- flip-- |
| 149× | difference-of-squares |
| 147× | frac-times |
| 143× | *-commutative |
| 138× | distribute-lft-neg-in |
| 132× | sqrt-pow1 |
| 100× | frac-2neg clear-num |
| 89× | pow1/2 |
| 83× | cube-prod associate--l+ |
| 79× | fma-def |
| 75× | pow-pow |
| 70× | sub-neg |
| 69× | rem-sqrt-square |
| 60× | swap-sqr |
| 58× | tan-quot |
| 53× | pow1/3 |
| 42× | associate-/l/ |
| 40× | frac-sub |
| 36× | exp-prod |
| 34× | hypot-def |
| 31× | fma-udef |
| 28× | associate-+r+ sum-log |
| 27× | div-sub |
| 26× | fma-neg |
| 25× | cos-sum |
| 21× | +-commutative pow-prod-up |
| 18× | neg-mul-1 |
| 17× | cbrt-div |
| 14× | pow-sqr |
| 13× | pow-flip |
| 12× | diff-log |
| 9× | neg-sub0 |
| 8× | distribute-neg-frac |
| 7× | pow-sub |
| 6× | rem-cube-cbrt difference-cubes un-div-inv inv-pow associate-+r- unpow3 pow-plus |
| 5× | cube-div cube-mult pow2 |
| 4× | exp-diff sum-cubes frac-add distribute-frac-neg exp-sum |
| 3× | associate-+l+ hypot-udef unsub-neg |
| 2× | pow-neg sqrt-unprod sin-sum expm1-log1p rem-square-sqrt asin-acos expm1-udef |
| 1× | sqrt-undiv log1p-udef log1p-expm1 cos-diff acos-asin mul0 rem-cbrt-cube |
Total 44.8b remaining (24.5%)
Threshold costs 4.6b (2.5%)
| 9.4b | 25.8% | Toniolo and Linder, Equation (13) |
| 6.6b | 49.4% | Henrywood and Agarwal, Equation (3) |
| 6.2b | 73.6% | Toniolo and Linder, Equation (7) |
| 5.9b | 5.9% | Henrywood and Agarwal, Equation (12) |
| 4.4b | 43.4% | Toniolo and Linder, Equation (10+) |